TSTP Solution File: HWV045-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV045-1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 02:12:48 EDT 2022
% Result : Unsatisfiable 32.89s 21.51s
% Output : Proof 37.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV045-1 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Aug 31 22:45:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 32.89/21.51 % SZS status Unsatisfiable
% 32.89/21.51 % SZS output start Proof
% 32.89/21.51 tff(v18_type, type, (
% 32.89/21.51 v18: $i > $o)).
% 32.89/21.51 tff(constB86_type, type, (
% 32.89/21.51 constB86: $i)).
% 32.89/21.51 tff(v19_type, type, (
% 32.89/21.51 v19: $i > $o)).
% 32.89/21.51 tff(v13_type, type, (
% 32.89/21.51 v13: $i > $o)).
% 32.89/21.51 tff(v9_type, type, (
% 32.89/21.51 v9: $i > $o)).
% 32.89/21.51 tff(constB85_type, type, (
% 32.89/21.51 constB85: $i)).
% 32.89/21.51 tff(v197_type, type, (
% 32.89/21.51 v197: $i > $o)).
% 32.89/21.51 tff(v196_type, type, (
% 32.89/21.51 v196: $i > $o)).
% 32.89/21.51 tff(v194_type, type, (
% 32.89/21.51 v194: $i > $o)).
% 32.89/21.51 tff(v191_type, type, (
% 32.89/21.51 v191: $i > $o)).
% 32.89/21.51 tff(v193_type, type, (
% 32.89/21.51 v193: $i > $o)).
% 32.89/21.51 tff(constB87_type, type, (
% 32.89/21.51 constB87: $i)).
% 32.89/21.51 tff(sK0_VarCurr_type, type, (
% 32.89/21.51 sK0_VarCurr: $i)).
% 32.89/21.51 tff(constB161_type, type, (
% 32.89/21.51 constB161: $i)).
% 32.89/21.51 tff(constB160_type, type, (
% 32.89/21.51 constB160: $i)).
% 32.89/21.51 tff(constB159_type, type, (
% 32.89/21.51 constB159: $i)).
% 32.89/21.51 tff(constB158_type, type, (
% 32.89/21.51 constB158: $i)).
% 32.89/21.51 tff(constB157_type, type, (
% 32.89/21.51 constB157: $i)).
% 32.89/21.51 tff(v22_type, type, (
% 32.89/21.51 v22: $i > $o)).
% 32.89/21.51 tff(v1_type, type, (
% 32.89/21.51 v1: $i > $o)).
% 32.89/21.51 tff(nextState_type, type, (
% 32.89/21.51 nextState: ( $i * $i ) > $o)).
% 32.89/21.51 tff(v198_type, type, (
% 32.89/21.51 v198: $i > $o)).
% 32.89/21.51 tff(v200_type, type, (
% 32.89/21.51 v200: $i > $o)).
% 32.89/21.51 tff(v201_type, type, (
% 32.89/21.51 v201: $i > $o)).
% 32.89/21.51 tff(v163_type, type, (
% 32.89/21.51 v163: $i > $o)).
% 32.89/21.51 tff(v170_type, type, (
% 32.89/21.51 v170: $i > $o)).
% 32.89/21.51 tff(v167_type, type, (
% 32.89/21.51 v167: $i > $o)).
% 32.89/21.51 tff(v142_type, type, (
% 32.89/21.51 v142: $i > $o)).
% 32.89/21.51 tff(v144_type, type, (
% 32.89/21.51 v144: $i > $o)).
% 32.89/21.51 tff(v88_type, type, (
% 32.89/21.51 v88: ( $i * $i ) > $o)).
% 32.89/21.51 tff(bitIndex1_type, type, (
% 32.89/21.51 bitIndex1: $i)).
% 32.89/21.51 tff(v90_type, type, (
% 32.89/21.51 v90: ( $i * $i ) > $o)).
% 32.89/21.51 tff(constB156_type, type, (
% 32.89/21.51 constB156: $i)).
% 32.89/21.51 tff(v129_type, type, (
% 32.89/21.51 v129: ( $i * $i ) > $o)).
% 32.89/21.51 tff(v127_type, type, (
% 32.89/21.51 v127: ( $i * $i ) > $o)).
% 32.89/21.51 tff(constB155_type, type, (
% 32.89/21.51 constB155: $i)).
% 32.89/21.51 tff(v130_type, type, (
% 32.89/21.51 v130: ( $i * $i ) > $o)).
% 32.89/21.51 tff(v124_type, type, (
% 32.89/21.51 v124: $i > $o)).
% 32.89/21.51 tff(v122_type, type, (
% 32.89/21.51 v122: $i > $o)).
% 32.89/21.51 tff(constB151_type, type, (
% 32.89/21.51 constB151: $i)).
% 32.89/21.51 tff(v121_type, type, (
% 32.89/21.51 v121: $i > $o)).
% 32.89/21.51 tff(constB149_type, type, (
% 32.89/21.51 constB149: $i)).
% 32.89/21.51 tff(constB148_type, type, (
% 32.89/21.51 constB148: $i)).
% 32.89/21.51 tff(constB147_type, type, (
% 32.89/21.51 constB147: $i)).
% 32.89/21.51 tff(v120_type, type, (
% 32.89/21.51 v120: $i > $o)).
% 32.89/21.51 tff(constB146_type, type, (
% 32.89/21.51 constB146: $i)).
% 32.89/21.51 tff(constB145_type, type, (
% 32.89/21.51 constB145: $i)).
% 32.89/21.51 tff(constB144_type, type, (
% 32.89/21.51 constB144: $i)).
% 32.89/21.51 tff(constB143_type, type, (
% 32.89/21.51 constB143: $i)).
% 32.89/21.51 tff(bitIndex2_type, type, (
% 32.89/21.51 bitIndex2: $i)).
% 32.89/21.51 tff(constB142_type, type, (
% 32.89/21.51 constB142: $i)).
% 32.89/21.51 tff(v100_type, type, (
% 32.89/21.51 v100: $i > $o)).
% 32.89/21.51 tff(v110_type, type, (
% 32.89/21.51 v110: $i > $o)).
% 32.89/21.51 tff(v108_type, type, (
% 32.89/21.51 v108: $i > $o)).
% 32.89/21.51 tff(constB141_type, type, (
% 32.89/21.51 constB141: $i)).
% 32.89/21.51 tff(v112_type, type, (
% 32.89/21.51 v112: $i > $o)).
% 32.89/21.51 tff(v113_type, type, (
% 32.89/21.51 v113: $i > $o)).
% 32.89/21.51 tff(v114_type, type, (
% 32.89/21.51 v114: $i > $o)).
% 32.89/21.51 tff(v115_type, type, (
% 32.89/21.51 v115: $i > $o)).
% 32.89/21.51 tff(v123_type, type, (
% 32.89/21.51 v123: $i > $o)).
% 32.89/21.51 tff(constB140_type, type, (
% 32.89/21.51 constB140: $i)).
% 32.89/21.51 tff(constB139_type, type, (
% 32.89/21.51 constB139: $i)).
% 32.89/21.51 tff(v116_type, type, (
% 32.89/21.51 v116: $i > $o)).
% 32.89/21.51 tff(v26_type, type, (
% 32.89/21.51 v26: $i > $o)).
% 32.89/21.51 tff(constB137_type, type, (
% 32.89/21.51 constB137: $i)).
% 32.89/21.51 tff(constB138_type, type, (
% 32.89/21.51 constB138: $i)).
% 32.89/21.51 tff(constB136_type, type, (
% 32.89/21.51 constB136: $i)).
% 32.89/21.51 tff(constB135_type, type, (
% 32.89/21.51 constB135: $i)).
% 32.89/21.51 tff(v117_type, type, (
% 32.89/21.51 v117: $i > $o)).
% 32.89/21.51 tff(v118_type, type, (
% 32.89/21.51 v118: $i > $o)).
% 32.89/21.51 tff(constB134_type, type, (
% 32.89/21.51 constB134: $i)).
% 32.89/21.51 tff(constB133_type, type, (
% 32.89/21.51 constB133: $i)).
% 32.89/21.51 tff(v74_type, type, (
% 32.89/21.51 v74: $i > $o)).
% 32.89/21.51 tff(v72_type, type, (
% 32.89/21.51 v72: $i > $o)).
% 32.89/21.51 tff(v71_type, type, (
% 32.89/21.51 v71: $i > $o)).
% 32.89/21.51 tff(v76_type, type, (
% 32.89/21.51 v76: $i > $o)).
% 32.89/21.51 tff(v80_type, type, (
% 32.89/21.51 v80: $i > $o)).
% 32.89/21.51 tff(v78_type, type, (
% 32.89/21.51 v78: $i > $o)).
% 32.89/21.51 tff(v60_type, type, (
% 32.89/21.51 v60: $i > $o)).
% 32.89/21.51 tff(v66_type, type, (
% 32.89/21.51 v66: $i > $o)).
% 32.89/21.51 tff(constB132_type, type, (
% 32.89/21.51 constB132: $i)).
% 32.89/21.51 tff(v64_type, type, (
% 32.89/21.51 v64: $i > $o)).
% 32.89/21.51 tff(v125_type, type, (
% 32.89/21.51 v125: $i > $o)).
% 32.89/21.51 tff(constB131_type, type, (
% 32.89/21.51 constB131: $i)).
% 32.89/21.51 tff(constB130_type, type, (
% 32.89/21.51 constB130: $i)).
% 32.89/21.51 tff(constB129_type, type, (
% 32.89/21.51 constB129: $i)).
% 32.89/21.51 tff(constB128_type, type, (
% 32.89/21.51 constB128: $i)).
% 32.89/21.51 tff(constB127_type, type, (
% 32.89/21.51 constB127: $i)).
% 32.89/21.51 tff(constB126_type, type, (
% 32.89/21.51 constB126: $i)).
% 32.89/21.51 tff(constB125_type, type, (
% 32.89/21.51 constB125: $i)).
% 32.89/21.51 tff(constB124_type, type, (
% 32.89/21.51 constB124: $i)).
% 32.89/21.51 tff(constB123_type, type, (
% 32.89/21.51 constB123: $i)).
% 32.89/21.51 tff(constB121_type, type, (
% 32.89/21.51 constB121: $i)).
% 32.89/21.51 tff(constB122_type, type, (
% 32.89/21.51 constB122: $i)).
% 32.89/21.51 tff(constB120_type, type, (
% 32.89/21.51 constB120: $i)).
% 32.89/21.51 tff(constB119_type, type, (
% 32.89/21.51 constB119: $i)).
% 32.89/21.51 tff(constB118_type, type, (
% 32.89/21.51 constB118: $i)).
% 32.89/21.51 tff(constB117_type, type, (
% 32.89/21.51 constB117: $i)).
% 32.89/21.51 tff(constB116_type, type, (
% 32.89/21.51 constB116: $i)).
% 32.89/21.51 tff(constB115_type, type, (
% 32.89/21.51 constB115: $i)).
% 32.89/21.51 tff(constB114_type, type, (
% 32.89/21.51 constB114: $i)).
% 32.89/21.51 tff(constB113_type, type, (
% 32.89/21.51 constB113: $i)).
% 32.89/21.51 tff(constB112_type, type, (
% 32.89/21.51 constB112: $i)).
% 32.89/21.51 tff(constB111_type, type, (
% 32.89/21.51 constB111: $i)).
% 32.89/21.51 tff(constB110_type, type, (
% 32.89/21.51 constB110: $i)).
% 32.89/21.51 tff(constB109_type, type, (
% 32.89/21.51 constB109: $i)).
% 32.89/21.51 tff(v119_type, type, (
% 32.89/21.51 v119: $i > $o)).
% 32.89/21.51 tff(constB108_type, type, (
% 32.89/21.51 constB108: $i)).
% 32.89/21.51 tff(constB107_type, type, (
% 32.89/21.51 constB107: $i)).
% 32.89/21.51 tff(constB106_type, type, (
% 32.89/21.51 constB106: $i)).
% 32.89/21.51 tff(constB105_type, type, (
% 32.89/21.51 constB105: $i)).
% 32.89/21.51 tff(constB104_type, type, (
% 32.89/21.51 constB104: $i)).
% 32.89/21.51 tff(constB103_type, type, (
% 32.89/21.51 constB103: $i)).
% 32.89/21.51 tff(constB102_type, type, (
% 32.89/21.51 constB102: $i)).
% 32.89/21.51 tff(constB101_type, type, (
% 32.89/21.51 constB101: $i)).
% 32.89/21.51 tff(constB99_type, type, (
% 32.89/21.51 constB99: $i)).
% 32.89/21.51 tff(constB100_type, type, (
% 32.89/21.51 constB100: $i)).
% 32.89/21.51 tff(constB98_type, type, (
% 32.89/21.51 constB98: $i)).
% 32.89/21.51 tff(constB97_type, type, (
% 32.89/21.51 constB97: $i)).
% 32.89/21.51 tff(constB96_type, type, (
% 32.89/21.51 constB96: $i)).
% 32.89/21.51 tff(constB95_type, type, (
% 32.89/21.51 constB95: $i)).
% 32.89/21.51 tff(constB94_type, type, (
% 32.89/21.51 constB94: $i)).
% 32.89/21.51 tff(constB93_type, type, (
% 32.89/21.51 constB93: $i)).
% 32.89/21.51 tff(bitIndex0_type, type, (
% 32.89/21.51 bitIndex0: $i)).
% 32.89/21.51 tff(constB92_type, type, (
% 32.89/21.51 constB92: $i)).
% 32.89/21.51 tff(constB91_type, type, (
% 32.89/21.51 constB91: $i)).
% 32.89/21.51 tff(constB90_type, type, (
% 32.89/21.51 constB90: $i)).
% 32.89/21.51 tff(constB89_type, type, (
% 32.89/21.51 constB89: $i)).
% 32.89/21.51 tff(constB88_type, type, (
% 32.89/21.51 constB88: $i)).
% 32.89/21.51 tff(constB84_type, type, (
% 32.89/21.51 constB84: $i)).
% 32.89/21.51 tff(constB83_type, type, (
% 32.89/21.51 constB83: $i)).
% 32.89/21.51 tff(constB81_type, type, (
% 32.89/21.51 constB81: $i)).
% 32.89/21.51 tff(constB80_type, type, (
% 32.89/21.51 constB80: $i)).
% 32.89/21.51 tff(constB79_type, type, (
% 32.89/21.51 constB79: $i)).
% 32.89/21.51 tff(constB78_type, type, (
% 32.89/21.51 constB78: $i)).
% 32.89/21.51 tff(constB77_type, type, (
% 32.89/21.51 constB77: $i)).
% 32.89/21.51 tff(constB76_type, type, (
% 32.89/21.51 constB76: $i)).
% 32.89/21.51 tff(constB75_type, type, (
% 32.89/21.51 constB75: $i)).
% 32.89/21.51 tff(constB74_type, type, (
% 32.89/21.51 constB74: $i)).
% 32.89/21.51 tff(constB73_type, type, (
% 32.89/21.51 constB73: $i)).
% 32.89/21.51 tff(constB72_type, type, (
% 32.89/21.51 constB72: $i)).
% 32.89/21.51 tff(constB71_type, type, (
% 32.89/21.51 constB71: $i)).
% 32.89/21.51 tff(constB69_type, type, (
% 32.89/21.51 constB69: $i)).
% 32.89/21.51 tff(constB67_type, type, (
% 32.89/21.51 constB67: $i)).
% 32.89/21.51 tff(constB63_type, type, (
% 32.89/21.51 constB63: $i)).
% 32.89/21.51 tff(constB62_type, type, (
% 32.89/21.51 constB62: $i)).
% 32.89/21.51 tff(constB61_type, type, (
% 32.89/21.51 constB61: $i)).
% 32.89/21.51 tff(constB60_type, type, (
% 32.89/21.51 constB60: $i)).
% 32.89/21.51 tff(constB59_type, type, (
% 32.89/21.51 constB59: $i)).
% 32.89/21.51 tff(constB58_type, type, (
% 32.89/21.51 constB58: $i)).
% 32.89/21.51 tff(constB57_type, type, (
% 32.89/21.51 constB57: $i)).
% 32.89/21.51 tff(constB56_type, type, (
% 32.89/21.51 constB56: $i)).
% 32.89/21.51 tff(constB55_type, type, (
% 32.89/21.51 constB55: $i)).
% 32.89/21.51 tff(constB54_type, type, (
% 32.89/21.51 constB54: $i)).
% 32.89/21.51 tff(constB53_type, type, (
% 32.89/21.51 constB53: $i)).
% 32.89/21.51 tff(constB52_type, type, (
% 32.89/21.51 constB52: $i)).
% 32.89/21.51 tff(constB51_type, type, (
% 32.89/21.51 constB51: $i)).
% 32.89/21.51 tff(constB50_type, type, (
% 32.89/21.51 constB50: $i)).
% 32.89/21.51 tff(constB49_type, type, (
% 32.89/21.51 constB49: $i)).
% 32.89/21.51 tff(constB48_type, type, (
% 32.89/21.51 constB48: $i)).
% 32.89/21.51 tff(constB47_type, type, (
% 32.89/21.51 constB47: $i)).
% 32.89/21.51 tff(constB46_type, type, (
% 32.89/21.51 constB46: $i)).
% 32.89/21.51 tff(constB45_type, type, (
% 32.89/21.51 constB45: $i)).
% 32.89/21.51 tff(constB44_type, type, (
% 32.89/21.51 constB44: $i)).
% 32.89/21.51 tff(constB43_type, type, (
% 32.89/21.51 constB43: $i)).
% 32.89/21.51 tff(constB42_type, type, (
% 32.89/21.51 constB42: $i)).
% 32.89/21.51 tff(constB41_type, type, (
% 32.89/21.51 constB41: $i)).
% 32.89/21.51 tff(constB40_type, type, (
% 32.89/21.51 constB40: $i)).
% 32.89/21.51 tff(constB39_type, type, (
% 32.89/21.51 constB39: $i)).
% 32.89/21.51 tff(constB38_type, type, (
% 32.89/21.51 constB38: $i)).
% 32.89/21.51 tff(constB37_type, type, (
% 32.89/21.51 constB37: $i)).
% 32.89/21.51 tff(constB36_type, type, (
% 32.89/21.51 constB36: $i)).
% 32.89/21.51 tff(constB35_type, type, (
% 32.89/21.51 constB35: $i)).
% 32.89/21.51 tff(constB34_type, type, (
% 32.89/21.51 constB34: $i)).
% 32.89/21.51 tff(constB33_type, type, (
% 32.89/21.51 constB33: $i)).
% 32.89/21.51 tff(constB31_type, type, (
% 32.89/21.51 constB31: $i)).
% 32.89/21.51 tff(constB30_type, type, (
% 32.89/21.51 constB30: $i)).
% 32.89/21.51 tff(constB29_type, type, (
% 32.89/21.51 constB29: $i)).
% 32.89/21.51 tff(constB28_type, type, (
% 32.89/21.51 constB28: $i)).
% 32.89/21.51 tff(constB27_type, type, (
% 32.89/21.51 constB27: $i)).
% 32.89/21.51 tff(constB25_type, type, (
% 32.89/21.51 constB25: $i)).
% 32.89/21.51 tff(constB24_type, type, (
% 32.89/21.51 constB24: $i)).
% 32.89/21.51 tff(constB23_type, type, (
% 32.89/21.51 constB23: $i)).
% 32.89/21.51 tff(constB22_type, type, (
% 32.89/21.51 constB22: $i)).
% 32.89/21.51 tff(constB21_type, type, (
% 32.89/21.51 constB21: $i)).
% 32.89/21.51 tff(constB20_type, type, (
% 32.89/21.51 constB20: $i)).
% 32.89/21.51 tff(constB19_type, type, (
% 32.89/21.51 constB19: $i)).
% 32.89/21.51 tff(constB18_type, type, (
% 32.89/21.51 constB18: $i)).
% 32.89/21.51 tff(constB17_type, type, (
% 32.89/21.51 constB17: $i)).
% 32.89/21.51 tff(constB16_type, type, (
% 32.89/21.51 constB16: $i)).
% 32.89/21.51 tff(constB15_type, type, (
% 32.89/21.51 constB15: $i)).
% 32.89/21.51 tff(constB14_type, type, (
% 32.89/21.51 constB14: $i)).
% 32.89/21.51 tff(constB13_type, type, (
% 32.89/21.51 constB13: $i)).
% 32.89/21.51 tff(constB12_type, type, (
% 32.89/21.51 constB12: $i)).
% 32.89/21.51 tff(constB11_type, type, (
% 32.89/21.51 constB11: $i)).
% 32.89/21.51 tff(constB10_type, type, (
% 32.89/21.51 constB10: $i)).
% 32.89/21.51 tff(constB9_type, type, (
% 32.89/21.51 constB9: $i)).
% 32.89/21.51 tff(constB8_type, type, (
% 32.89/21.51 constB8: $i)).
% 32.89/21.51 tff(constB7_type, type, (
% 32.89/21.51 constB7: $i)).
% 32.89/21.51 tff(constB6_type, type, (
% 32.89/21.51 constB6: $i)).
% 32.89/21.51 tff(constB5_type, type, (
% 32.89/21.51 constB5: $i)).
% 32.89/21.51 tff(constB4_type, type, (
% 32.89/21.51 constB4: $i)).
% 32.89/21.51 tff(constB3_type, type, (
% 32.89/21.51 constB3: $i)).
% 32.89/21.51 tff(constB2_type, type, (
% 32.89/21.51 constB2: $i)).
% 32.89/21.51 tff(constB1_type, type, (
% 32.89/21.51 constB1: $i)).
% 32.89/21.51 tff(v101_type, type, (
% 32.89/21.51 v101: $i > $o)).
% 32.89/21.51 tff(constB0_type, type, (
% 32.89/21.51 constB0: $i)).
% 32.89/21.51 tff(v102_type, type, (
% 32.89/21.51 v102: $i > $o)).
% 32.89/21.51 tff(v104_type, type, (
% 32.89/21.51 v104: $i > $o)).
% 32.89/21.51 tff(constB26_type, type, (
% 32.89/21.51 constB26: $i)).
% 32.89/21.51 tff(constB32_type, type, (
% 32.89/21.51 constB32: $i)).
% 32.89/21.51 tff(constB66_type, type, (
% 32.89/21.51 constB66: $i)).
% 32.89/21.51 tff(constB65_type, type, (
% 32.89/21.51 constB65: $i)).
% 32.89/21.51 tff(constB64_type, type, (
% 32.89/21.51 constB64: $i)).
% 32.89/21.51 tff(constB68_type, type, (
% 32.89/21.51 constB68: $i)).
% 32.89/21.51 tff(constB70_type, type, (
% 32.89/21.51 constB70: $i)).
% 32.89/21.51 tff(constB82_type, type, (
% 32.89/21.51 constB82: $i)).
% 32.89/21.51 tff(constB150_type, type, (
% 32.89/21.51 constB150: $i)).
% 32.89/21.51 tff(constB154_type, type, (
% 32.89/21.51 constB154: $i)).
% 32.89/21.51 tff(constB153_type, type, (
% 32.89/21.51 constB153: $i)).
% 32.89/21.51 tff(constB152_type, type, (
% 32.89/21.51 constB152: $i)).
% 32.89/21.51 tff(v166_type, type, (
% 32.89/21.51 v166: $i > $o)).
% 32.89/21.51 tff(v159_type, type, (
% 32.89/21.51 v159: $i > $o)).
% 32.89/21.51 tff(v186_type, type, (
% 32.89/21.51 v186: $i > $o)).
% 32.89/21.51 tff(v179_type, type, (
% 32.89/21.51 v179: $i > $o)).
% 32.89/21.51 tff(v180_type, type, (
% 32.89/21.51 v180: $i > $o)).
% 32.89/21.51 tff(v181_type, type, (
% 32.89/21.51 v181: $i > $o)).
% 32.89/21.51 tff(v205_type, type, (
% 32.89/21.51 v205: $i > $o)).
% 32.89/21.51 tff(v86_type, type, (
% 32.89/21.51 v86: $i > $o)).
% 32.89/21.51 tff(v207_type, type, (
% 32.89/21.51 v207: $i > $o)).
% 32.89/21.51 tff(v206_type, type, (
% 32.89/21.51 v206: $i > $o)).
% 32.89/21.51 tff(v148_type, type, (
% 32.89/21.51 v148: $i > $o)).
% 32.89/21.51 tff(v143_type, type, (
% 32.89/21.51 v143: $i > $o)).
% 32.89/21.51 tff(constB169_type, type, (
% 32.89/21.51 constB169: $i)).
% 32.89/21.51 tff(constB168_type, type, (
% 32.89/21.51 constB168: $i)).
% 32.89/21.51 tff(constB167_type, type, (
% 32.89/21.51 constB167: $i)).
% 32.89/21.51 tff(constB166_type, type, (
% 32.89/21.51 constB166: $i)).
% 32.89/21.51 tff(constB165_type, type, (
% 32.89/21.51 constB165: $i)).
% 32.89/21.51 tff(constB164_type, type, (
% 32.89/21.51 constB164: $i)).
% 32.89/21.51 tff(constB163_type, type, (
% 32.89/21.51 constB163: $i)).
% 32.89/21.51 tff(constB162_type, type, (
% 32.89/21.51 constB162: $i)).
% 32.89/21.51 tff(constB193_type, type, (
% 32.89/21.51 constB193: $i)).
% 32.89/21.51 tff(constB192_type, type, (
% 32.89/21.51 constB192: $i)).
% 32.89/21.51 tff(constB191_type, type, (
% 32.89/21.51 constB191: $i)).
% 32.89/21.51 tff(constB190_type, type, (
% 32.89/21.51 constB190: $i)).
% 32.89/21.51 tff(constB189_type, type, (
% 32.89/21.51 constB189: $i)).
% 32.89/21.51 tff(constB188_type, type, (
% 32.89/21.51 constB188: $i)).
% 32.89/21.51 tff(constB187_type, type, (
% 32.89/21.51 constB187: $i)).
% 32.89/21.51 tff(constB186_type, type, (
% 32.89/21.51 constB186: $i)).
% 32.89/21.51 tff(constB185_type, type, (
% 32.89/21.51 constB185: $i)).
% 32.89/21.51 tff(constB184_type, type, (
% 32.89/21.51 constB184: $i)).
% 32.89/21.51 tff(constB183_type, type, (
% 32.89/21.51 constB183: $i)).
% 32.89/21.51 tff(constB182_type, type, (
% 32.89/21.51 constB182: $i)).
% 32.89/21.51 tff(constB181_type, type, (
% 32.89/21.51 constB181: $i)).
% 32.89/21.51 tff(constB180_type, type, (
% 32.89/21.51 constB180: $i)).
% 32.89/21.51 tff(constB179_type, type, (
% 32.89/21.51 constB179: $i)).
% 32.89/21.51 tff(constB178_type, type, (
% 32.89/21.51 constB178: $i)).
% 32.89/21.51 tff(constB177_type, type, (
% 32.89/21.51 constB177: $i)).
% 32.89/21.51 tff(constB176_type, type, (
% 32.89/21.51 constB176: $i)).
% 32.89/21.51 tff(constB175_type, type, (
% 32.89/21.51 constB175: $i)).
% 32.89/21.51 tff(constB174_type, type, (
% 32.89/21.51 constB174: $i)).
% 32.89/21.51 tff(constB173_type, type, (
% 32.89/21.51 constB173: $i)).
% 32.89/21.51 tff(constB172_type, type, (
% 32.89/21.51 constB172: $i)).
% 32.89/21.51 tff(constB171_type, type, (
% 32.89/21.51 constB171: $i)).
% 32.89/21.51 tff(constB170_type, type, (
% 32.89/21.51 constB170: $i)).
% 32.89/21.51 tff(constB195_type, type, (
% 32.89/21.51 constB195: $i)).
% 32.89/21.51 tff(constB194_type, type, (
% 32.89/21.51 constB194: $i)).
% 32.89/21.51 tff(v168_type, type, (
% 32.89/21.51 v168: $i > $o)).
% 32.89/21.51 tff(v141_type, type, (
% 32.89/21.51 v141: $i > $o)).
% 32.89/21.51 tff(constB198_type, type, (
% 32.89/21.51 constB198: $i)).
% 32.89/21.51 tff(v169_type, type, (
% 32.89/21.51 v169: $i > $o)).
% 32.89/21.51 tff(v140_type, type, (
% 32.89/21.51 v140: $i > $o)).
% 32.89/21.51 tff(constB196_type, type, (
% 32.89/21.51 constB196: $i)).
% 32.89/21.51 tff(constB200_type, type, (
% 32.89/21.51 constB200: $i)).
% 32.89/21.51 tff(constB197_type, type, (
% 32.89/21.51 constB197: $i)).
% 32.89/21.51 tff(constB199_type, type, (
% 32.89/21.51 constB199: $i)).
% 32.89/21.51 tff(v139_type, type, (
% 32.89/21.51 v139: $i > $o)).
% 32.89/21.51 tff(reachableState_type, type, (
% 32.89/21.51 reachableState: $i > $o)).
% 32.89/21.51 tff(1,assumption,(v18(constB158)), introduced(assumption)).
% 32.89/21.51 tff(2,plain,
% 32.89/21.51 (^[VarCurr: $i] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 32.89/21.51 inference(bind,[status(th)],[])).
% 32.89/21.51 tff(3,plain,
% 32.89/21.51 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 32.89/21.51 inference(quant_intro,[status(thm)],[2])).
% 32.89/21.51 tff(4,plain,
% 32.89/21.51 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(5,axiom,(![VarCurr: $i] : (~v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 32.89/21.51 tff(6,plain,
% 32.89/21.51 (![VarCurr: $i] : (~v18(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[5, 4])).
% 32.89/21.51 tff(7,plain,(
% 32.89/21.51 ![VarCurr: $i] : (~v18(VarCurr))),
% 32.89/21.51 inference(skolemize,[status(sab)],[6])).
% 32.89/21.51 tff(8,plain,
% 32.89/21.51 (![VarCurr: $i] : (~v18(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[7, 3])).
% 32.89/21.51 tff(9,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB158))),
% 32.89/21.51 inference(quant_inst,[status(thm)],[])).
% 32.89/21.51 tff(10,plain,
% 32.89/21.51 ($false),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 32.89/21.51 tff(11,plain,(~v18(constB158)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.51 tff(12,plain,
% 32.89/21.51 (v1(constB158) <=> v1(constB158)),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(13,axiom,(v1(constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 32.89/21.51 tff(14,plain,
% 32.89/21.51 (v1(constB158)),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[13, 12])).
% 32.89/21.51 tff(15,plain,
% 32.89/21.51 (^[VarCurr: $i] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 32.89/21.51 inference(bind,[status(th)],[])).
% 32.89/21.51 tff(16,plain,
% 32.89/21.51 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 32.89/21.51 inference(quant_intro,[status(thm)],[15])).
% 32.89/21.51 tff(17,plain,
% 32.89/21.51 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(18,axiom,(![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 32.89/21.51 tff(19,plain,
% 32.89/21.51 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[18, 17])).
% 32.89/21.51 tff(20,plain,(
% 32.89/21.51 ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 32.89/21.51 inference(skolemize,[status(sab)],[19])).
% 32.89/21.51 tff(21,plain,
% 32.89/21.51 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[20, 16])).
% 32.89/21.51 tff(22,plain,
% 32.89/21.51 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158)))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(23,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))),
% 32.89/21.51 inference(quant_inst,[status(thm)],[])).
% 32.89/21.51 tff(24,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[23, 22])).
% 32.89/21.51 tff(25,plain,
% 32.89/21.51 (v22(constB158)),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[24, 21, 14])).
% 32.89/21.51 tff(26,plain,
% 32.89/21.51 (^[VarCurr: $i] : refl(((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 32.89/21.51 inference(bind,[status(th)],[])).
% 32.89/21.51 tff(27,plain,
% 32.89/21.51 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 32.89/21.51 inference(quant_intro,[status(thm)],[26])).
% 32.89/21.51 tff(28,plain,
% 32.89/21.51 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(29,plain,
% 32.89/21.51 (^[VarCurr: $i] : rewrite(((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 32.89/21.51 inference(bind,[status(th)],[])).
% 32.89/21.51 tff(30,plain,
% 32.89/21.51 (![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 32.89/21.51 inference(quant_intro,[status(thm)],[29])).
% 32.89/21.51 tff(31,axiom,(![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 32.89/21.51 tff(32,plain,
% 32.89/21.51 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[31, 30])).
% 32.89/21.51 tff(33,plain,
% 32.89/21.51 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[32, 28])).
% 32.89/21.51 tff(34,plain,(
% 32.89/21.51 ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 32.89/21.51 inference(skolemize,[status(sab)],[33])).
% 32.89/21.51 tff(35,plain,
% 32.89/21.51 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[34, 27])).
% 32.89/21.51 tff(36,plain,
% 32.89/21.51 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB158)) | (~v22(constB158)) | v18(constB158))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB158)) | (~v22(constB158)) | v18(constB158))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(37,plain,
% 32.89/21.51 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB158)) | (~v22(constB158)) | v18(constB158))),
% 32.89/21.51 inference(quant_inst,[status(thm)],[])).
% 32.89/21.51 tff(38,plain,
% 32.89/21.51 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB158)) | (~v22(constB158)) | v18(constB158)),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[37, 36])).
% 32.89/21.51 tff(39,plain,
% 32.89/21.51 ((~v19(constB158)) | v18(constB158)),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[38, 35, 25])).
% 32.89/21.51 tff(40,plain,
% 32.89/21.51 (~v19(constB158)),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[39, 11])).
% 32.89/21.51 tff(41,plain,
% 32.89/21.51 (^[VarCurr: $i] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 32.89/21.51 inference(bind,[status(th)],[])).
% 32.89/21.51 tff(42,plain,
% 32.89/21.51 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 32.89/21.51 inference(quant_intro,[status(thm)],[41])).
% 32.89/21.51 tff(43,plain,
% 32.89/21.51 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(44,plain,
% 32.89/21.51 (^[VarCurr: $i] : rewrite((v19(VarCurr) | v13(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 32.89/21.51 inference(bind,[status(th)],[])).
% 32.89/21.51 tff(45,plain,
% 32.89/21.51 (![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 32.89/21.51 inference(quant_intro,[status(thm)],[44])).
% 32.89/21.51 tff(46,axiom,(![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_1_2')).
% 32.89/21.51 tff(47,plain,
% 32.89/21.51 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[46, 45])).
% 32.89/21.51 tff(48,plain,
% 32.89/21.51 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[47, 43])).
% 32.89/21.51 tff(49,plain,(
% 32.89/21.51 ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 32.89/21.51 inference(skolemize,[status(sab)],[48])).
% 32.89/21.51 tff(50,plain,
% 32.89/21.51 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[49, 42])).
% 32.89/21.51 tff(51,plain,
% 32.89/21.51 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(52,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))),
% 32.89/21.51 inference(quant_inst,[status(thm)],[])).
% 32.89/21.51 tff(53,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158)),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[52, 51])).
% 32.89/21.51 tff(54,plain,
% 32.89/21.51 (v13(constB158)),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[53, 50, 40])).
% 32.89/21.51 tff(55,plain,
% 32.89/21.51 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(56,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 32.89/21.51 tff(57,plain,
% 32.89/21.51 (nextState(constB157, constB158)),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[56, 55])).
% 32.89/21.51 tff(58,plain,
% 32.89/21.51 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 32.89/21.51 inference(bind,[status(th)],[])).
% 32.89/21.51 tff(59,plain,
% 32.89/21.51 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 32.89/21.51 inference(quant_intro,[status(thm)],[58])).
% 32.89/21.51 tff(60,plain,
% 32.89/21.51 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(61,plain,
% 32.89/21.51 (^[VarNext: $i, VarCurr: $i] : rewrite(((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 32.89/21.51 inference(bind,[status(th)],[])).
% 32.89/21.51 tff(62,plain,
% 32.89/21.51 (![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 32.89/21.51 inference(quant_intro,[status(thm)],[61])).
% 32.89/21.51 tff(63,axiom,(![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_13_2')).
% 32.89/21.51 tff(64,plain,
% 32.89/21.51 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[63, 62])).
% 32.89/21.51 tff(65,plain,
% 32.89/21.51 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[64, 60])).
% 32.89/21.51 tff(66,plain,(
% 32.89/21.51 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 32.89/21.51 inference(skolemize,[status(sab)],[65])).
% 32.89/21.51 tff(67,plain,
% 32.89/21.51 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[66, 59])).
% 32.89/21.51 tff(68,plain,
% 32.89/21.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(69,plain,
% 32.89/21.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157))),
% 32.89/21.51 inference(quant_inst,[status(thm)],[])).
% 32.89/21.51 tff(70,plain,
% 32.89/21.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157)),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[69, 68])).
% 32.89/21.51 tff(71,plain,
% 32.89/21.51 ((~v13(constB158)) | v9(constB157)),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[70, 67, 57])).
% 32.89/21.51 tff(72,plain,
% 32.89/21.51 (v9(constB157)),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[71, 54])).
% 32.89/21.51 tff(73,plain,
% 32.89/21.51 ((~v1(constB157)) <=> (~v1(constB157))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(74,axiom,(~v1(constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 32.89/21.51 tff(75,plain,
% 32.89/21.51 (~v1(constB157)),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[74, 73])).
% 32.89/21.51 tff(76,plain,
% 32.89/21.51 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)))),
% 32.89/21.51 inference(bind,[status(th)],[])).
% 32.89/21.51 tff(77,plain,
% 32.89/21.51 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 32.89/21.51 inference(quant_intro,[status(thm)],[76])).
% 32.89/21.51 tff(78,plain,
% 32.89/21.51 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(79,plain,
% 32.89/21.51 (^[VarCurr: $i] : trans(monotonicity(rewrite((v197(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v197(VarCurr))), (((v197(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ((v1(VarCurr) | v197(VarCurr)) | (~v9(VarCurr))))), rewrite(((v1(VarCurr) | v197(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))), (((v197(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))))),
% 32.89/21.51 inference(bind,[status(th)],[])).
% 32.89/21.51 tff(80,plain,
% 32.89/21.51 (![VarCurr: $i] : ((v197(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 32.89/21.51 inference(quant_intro,[status(thm)],[79])).
% 32.89/21.51 tff(81,axiom,(![VarCurr: $i] : ((v197(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_1')).
% 32.89/21.51 tff(82,plain,
% 32.89/21.51 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[81, 80])).
% 32.89/21.51 tff(83,plain,
% 32.89/21.51 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[82, 78])).
% 32.89/21.51 tff(84,plain,(
% 32.89/21.51 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 32.89/21.51 inference(skolemize,[status(sab)],[83])).
% 32.89/21.51 tff(85,plain,
% 32.89/21.51 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[84, 77])).
% 32.89/21.51 tff(86,plain,
% 32.89/21.51 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v197(constB157))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB157) | (~v9(constB157)) | v197(constB157))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(87,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v197(constB157))),
% 32.89/21.51 inference(quant_inst,[status(thm)],[])).
% 32.89/21.51 tff(88,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB157) | (~v9(constB157)) | v197(constB157)),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[87, 86])).
% 32.89/21.51 tff(89,plain,
% 32.89/21.51 ((~v9(constB157)) | v197(constB157)),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[88, 85, 75])).
% 32.89/21.51 tff(90,plain,
% 32.89/21.51 (v197(constB157)),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[89, 72])).
% 32.89/21.51 tff(91,plain,
% 32.89/21.51 (^[VarCurr: $i] : refl((v196(VarCurr) | (~v197(VarCurr))) <=> (v196(VarCurr) | (~v197(VarCurr))))),
% 32.89/21.51 inference(bind,[status(th)],[])).
% 32.89/21.51 tff(92,plain,
% 32.89/21.51 (![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr))) <=> ![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))),
% 32.89/21.51 inference(quant_intro,[status(thm)],[91])).
% 32.89/21.51 tff(93,plain,
% 32.89/21.51 (![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr))) <=> ![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(94,axiom,(![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_1')).
% 32.89/21.51 tff(95,plain,
% 32.89/21.51 (![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[94, 93])).
% 32.89/21.51 tff(96,plain,(
% 32.89/21.51 ![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))),
% 32.89/21.51 inference(skolemize,[status(sab)],[95])).
% 32.89/21.51 tff(97,plain,
% 32.89/21.51 (![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[96, 92])).
% 32.89/21.51 tff(98,plain,
% 32.89/21.51 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB157) | (~v197(constB157)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB157) | (~v197(constB157)))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(99,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB157) | (~v197(constB157)))),
% 32.89/21.51 inference(quant_inst,[status(thm)],[])).
% 32.89/21.51 tff(100,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB157) | (~v197(constB157))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[99, 98])).
% 32.89/21.51 tff(101,plain,
% 32.89/21.51 (v196(constB157)),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[100, 97, 90])).
% 32.89/21.51 tff(102,plain,
% 32.89/21.51 (^[VarCurr: $i] : refl(((~v196(VarCurr)) | (~v194(VarCurr))) <=> ((~v196(VarCurr)) | (~v194(VarCurr))))),
% 32.89/21.51 inference(bind,[status(th)],[])).
% 32.89/21.51 tff(103,plain,
% 32.89/21.51 (![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr))) <=> ![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))),
% 32.89/21.51 inference(quant_intro,[status(thm)],[102])).
% 32.89/21.51 tff(104,plain,
% 32.89/21.51 (![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr))) <=> ![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(105,axiom,(![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_3')).
% 32.89/21.51 tff(106,plain,
% 32.89/21.51 (![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[105, 104])).
% 32.89/21.51 tff(107,plain,(
% 32.89/21.51 ![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))),
% 32.89/21.51 inference(skolemize,[status(sab)],[106])).
% 32.89/21.51 tff(108,plain,
% 32.89/21.51 (![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[107, 103])).
% 32.89/21.51 tff(109,plain,
% 32.89/21.51 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB157)) | (~v194(constB157)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB157)) | (~v194(constB157)))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(110,plain,
% 32.89/21.51 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB157)) | (~v194(constB157)))),
% 32.89/21.51 inference(quant_inst,[status(thm)],[])).
% 32.89/21.51 tff(111,plain,
% 32.89/21.51 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB157)) | (~v194(constB157))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[110, 109])).
% 32.89/21.51 tff(112,plain,
% 32.89/21.51 (~v194(constB157)),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[111, 108, 101])).
% 32.89/21.51 tff(113,assumption,(v26(constB137)), introduced(assumption)).
% 32.89/21.51 tff(114,plain,
% 32.89/21.51 (^[VarCurr: $i] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 32.89/21.51 inference(bind,[status(th)],[])).
% 32.89/21.51 tff(115,plain,
% 32.89/21.51 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 32.89/21.51 inference(quant_intro,[status(thm)],[114])).
% 32.89/21.51 tff(116,plain,
% 32.89/21.51 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(117,axiom,(![VarCurr: $i] : (~v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 32.89/21.51 tff(118,plain,
% 32.89/21.51 (![VarCurr: $i] : (~v26(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[117, 116])).
% 32.89/21.51 tff(119,plain,(
% 32.89/21.51 ![VarCurr: $i] : (~v26(VarCurr))),
% 32.89/21.51 inference(skolemize,[status(sab)],[118])).
% 32.89/21.51 tff(120,plain,
% 32.89/21.51 (![VarCurr: $i] : (~v26(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[119, 115])).
% 32.89/21.51 tff(121,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB137))),
% 32.89/21.51 inference(quant_inst,[status(thm)],[])).
% 32.89/21.51 tff(122,plain,
% 32.89/21.51 ($false),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[121, 120, 113])).
% 32.89/21.51 tff(123,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.51 tff(124,assumption,(~v26(constB137)), introduced(assumption)).
% 32.89/21.51 tff(125,assumption,(v26(constB135)), introduced(assumption)).
% 32.89/21.51 tff(126,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB135))),
% 32.89/21.51 inference(quant_inst,[status(thm)],[])).
% 32.89/21.51 tff(127,plain,
% 32.89/21.51 ($false),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[126, 120, 125])).
% 32.89/21.51 tff(128,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.51 tff(129,assumption,(v71(constB133)), introduced(assumption)).
% 32.89/21.51 tff(130,plain,
% 32.89/21.51 (^[VarCurr: $i] : refl((~v71(VarCurr)) <=> (~v71(VarCurr)))),
% 32.89/21.51 inference(bind,[status(th)],[])).
% 32.89/21.51 tff(131,plain,
% 32.89/21.51 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 32.89/21.51 inference(quant_intro,[status(thm)],[130])).
% 32.89/21.51 tff(132,plain,
% 32.89/21.51 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(133,axiom,(![VarCurr: $i] : (~v71(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_1_1_1_1')).
% 32.89/21.51 tff(134,plain,
% 32.89/21.51 (![VarCurr: $i] : (~v71(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[133, 132])).
% 32.89/21.51 tff(135,plain,(
% 32.89/21.51 ![VarCurr: $i] : (~v71(VarCurr))),
% 32.89/21.51 inference(skolemize,[status(sab)],[134])).
% 32.89/21.51 tff(136,plain,
% 32.89/21.51 (![VarCurr: $i] : (~v71(VarCurr))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[135, 131])).
% 32.89/21.51 tff(137,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB133))),
% 32.89/21.51 inference(quant_inst,[status(thm)],[])).
% 32.89/21.51 tff(138,plain,
% 32.89/21.51 ($false),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[137, 136, 129])).
% 32.89/21.51 tff(139,plain,(~v71(constB133)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.51 tff(140,assumption,(v18(constB134)), introduced(assumption)).
% 32.89/21.51 tff(141,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB134))),
% 32.89/21.51 inference(quant_inst,[status(thm)],[])).
% 32.89/21.51 tff(142,plain,
% 32.89/21.51 ($false),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[141, 8, 140])).
% 32.89/21.51 tff(143,plain,(~v18(constB134)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.51 tff(144,plain,
% 32.89/21.51 (v1(constB134) <=> v1(constB134)),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(145,axiom,(v1(constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 32.89/21.51 tff(146,plain,
% 32.89/21.51 (v1(constB134)),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[145, 144])).
% 32.89/21.51 tff(147,plain,
% 32.89/21.51 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134)))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(148,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))),
% 32.89/21.51 inference(quant_inst,[status(thm)],[])).
% 32.89/21.51 tff(149,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134))),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[148, 147])).
% 32.89/21.51 tff(150,plain,
% 32.89/21.51 (v22(constB134)),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[149, 21, 146])).
% 32.89/21.51 tff(151,plain,
% 32.89/21.51 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB134)) | (~v22(constB134)) | v18(constB134))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB134)) | (~v22(constB134)) | v18(constB134))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(152,plain,
% 32.89/21.51 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB134)) | (~v22(constB134)) | v18(constB134))),
% 32.89/21.51 inference(quant_inst,[status(thm)],[])).
% 32.89/21.51 tff(153,plain,
% 32.89/21.51 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB134)) | (~v22(constB134)) | v18(constB134)),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[152, 151])).
% 32.89/21.51 tff(154,plain,
% 32.89/21.51 ((~v19(constB134)) | v18(constB134)),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[153, 35, 150])).
% 32.89/21.51 tff(155,plain,
% 32.89/21.51 (~v19(constB134)),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[154, 143])).
% 32.89/21.51 tff(156,plain,
% 32.89/21.51 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134))),
% 32.89/21.51 inference(rewrite,[status(thm)],[])).
% 32.89/21.51 tff(157,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))),
% 32.89/21.51 inference(quant_inst,[status(thm)],[])).
% 32.89/21.51 tff(158,plain,
% 32.89/21.51 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134)),
% 32.89/21.51 inference(modus_ponens,[status(thm)],[157, 156])).
% 32.89/21.51 tff(159,plain,
% 32.89/21.51 (v13(constB134)),
% 32.89/21.51 inference(unit_resolution,[status(thm)],[158, 50, 155])).
% 32.89/21.51 tff(160,plain,
% 32.89/21.52 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(161,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 32.89/21.52 tff(162,plain,
% 32.89/21.52 (nextState(constB133, constB134)),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[161, 160])).
% 32.89/21.52 tff(163,plain,
% 32.89/21.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(164,plain,
% 32.89/21.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(165,plain,
% 32.89/21.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133)),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[164, 163])).
% 32.89/21.52 tff(166,plain,
% 32.89/21.52 ((~v13(constB134)) | v9(constB133)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[165, 67, 162])).
% 32.89/21.52 tff(167,plain,
% 32.89/21.52 (v9(constB133)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[166, 159])).
% 32.89/21.52 tff(168,plain,
% 32.89/21.52 (^[VarCurr: $i] : refl((v80(VarCurr) | (~v9(VarCurr))) <=> (v80(VarCurr) | (~v9(VarCurr))))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(169,plain,
% 32.89/21.52 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[168])).
% 32.89/21.52 tff(170,plain,
% 32.89/21.52 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(171,axiom,(![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_15_1_1_1_2')).
% 32.89/21.52 tff(172,plain,
% 32.89/21.52 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[171, 170])).
% 32.89/21.52 tff(173,plain,(
% 32.89/21.52 ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 32.89/21.52 inference(skolemize,[status(sab)],[172])).
% 32.89/21.52 tff(174,plain,
% 32.89/21.52 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[173, 169])).
% 32.89/21.52 tff(175,plain,
% 32.89/21.52 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB133) | (~v9(constB133)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB133) | (~v9(constB133)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(176,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB133) | (~v9(constB133)))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(177,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB133) | (~v9(constB133))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[176, 175])).
% 32.89/21.52 tff(178,plain,
% 32.89/21.52 (v80(constB133)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[177, 174, 167])).
% 32.89/21.52 tff(179,plain,
% 32.89/21.52 ((~v1(constB133)) <=> (~v1(constB133))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(180,axiom,(~v1(constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 32.89/21.52 tff(181,plain,
% 32.89/21.52 (~v1(constB133)),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[180, 179])).
% 32.89/21.52 tff(182,plain,
% 32.89/21.52 (^[VarCurr: $i] : refl((v1(VarCurr) | v78(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(183,plain,
% 32.89/21.52 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[182])).
% 32.89/21.52 tff(184,plain,
% 32.89/21.52 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(185,plain,
% 32.89/21.52 (^[VarCurr: $i] : rewrite((v78(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(186,plain,
% 32.89/21.52 (![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[185])).
% 32.89/21.52 tff(187,axiom,(![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_14_1_1_1_1')).
% 32.89/21.52 tff(188,plain,
% 32.89/21.52 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[187, 186])).
% 32.89/21.52 tff(189,plain,
% 32.89/21.52 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[188, 184])).
% 32.89/21.52 tff(190,plain,(
% 32.89/21.52 ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 32.89/21.52 inference(skolemize,[status(sab)],[189])).
% 32.89/21.52 tff(191,plain,
% 32.89/21.52 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[190, 183])).
% 32.89/21.52 tff(192,plain,
% 32.89/21.52 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB133) | v78(constB133))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB133) | v78(constB133))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(193,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB133) | v78(constB133))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(194,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB133) | v78(constB133)),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[193, 192])).
% 32.89/21.52 tff(195,plain,
% 32.89/21.52 (v78(constB133)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[194, 191, 181])).
% 32.89/21.52 tff(196,plain,
% 32.89/21.52 (^[VarCurr: $i] : refl(((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(197,plain,
% 32.89/21.52 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[196])).
% 32.89/21.52 tff(198,plain,
% 32.89/21.52 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(199,plain,
% 32.89/21.52 (^[VarCurr: $i] : rewrite(((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(200,plain,
% 32.89/21.52 (![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[199])).
% 32.89/21.52 tff(201,axiom,(![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_16_1_1_1')).
% 32.89/21.52 tff(202,plain,
% 32.89/21.52 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[201, 200])).
% 32.89/21.52 tff(203,plain,
% 32.89/21.52 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[202, 198])).
% 32.89/21.52 tff(204,plain,(
% 32.89/21.52 ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 32.89/21.52 inference(skolemize,[status(sab)],[203])).
% 32.89/21.52 tff(205,plain,
% 32.89/21.52 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[204, 197])).
% 32.89/21.52 tff(206,plain,
% 32.89/21.52 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB133)) | (~v80(constB133)) | v76(constB133))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB133)) | (~v80(constB133)) | v76(constB133))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(207,plain,
% 32.89/21.52 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB133)) | (~v80(constB133)) | v76(constB133))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(208,plain,
% 32.89/21.52 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB133)) | (~v80(constB133)) | v76(constB133)),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[207, 206])).
% 32.89/21.52 tff(209,plain,
% 32.89/21.52 ((~v80(constB133)) | v76(constB133)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[208, 205, 195])).
% 32.89/21.52 tff(210,plain,
% 32.89/21.52 (v76(constB133)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[209, 178])).
% 32.89/21.52 tff(211,plain,
% 32.89/21.52 (^[VarCurr: $i] : refl(((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(212,plain,
% 32.89/21.52 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[211])).
% 32.89/21.52 tff(213,plain,
% 32.89/21.52 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(214,plain,
% 32.89/21.52 (^[VarCurr: $i] : rewrite(((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(215,plain,
% 32.89/21.52 (![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[214])).
% 32.89/21.52 tff(216,axiom,(![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_17_1_1_1')).
% 32.89/21.52 tff(217,plain,
% 32.89/21.52 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[216, 215])).
% 32.89/21.52 tff(218,plain,
% 32.89/21.52 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[217, 213])).
% 32.89/21.52 tff(219,plain,(
% 32.89/21.52 ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 32.89/21.52 inference(skolemize,[status(sab)],[218])).
% 32.89/21.52 tff(220,plain,
% 32.89/21.52 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[219, 212])).
% 32.89/21.52 tff(221,plain,
% 32.89/21.52 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (v71(constB133) | (~v76(constB133)) | (~v72(constB133)))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | v71(constB133) | (~v76(constB133)) | (~v72(constB133)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(222,plain,
% 32.89/21.52 (((~v72(constB133)) | (~v76(constB133)) | v71(constB133)) <=> (v71(constB133) | (~v76(constB133)) | (~v72(constB133)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(223,plain,
% 32.89/21.52 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB133)) | (~v76(constB133)) | v71(constB133))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (v71(constB133) | (~v76(constB133)) | (~v72(constB133))))),
% 32.89/21.52 inference(monotonicity,[status(thm)],[222])).
% 32.89/21.52 tff(224,plain,
% 32.89/21.52 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB133)) | (~v76(constB133)) | v71(constB133))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | v71(constB133) | (~v76(constB133)) | (~v72(constB133)))),
% 32.89/21.52 inference(transitivity,[status(thm)],[223, 221])).
% 32.89/21.52 tff(225,plain,
% 32.89/21.52 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB133)) | (~v76(constB133)) | v71(constB133))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(226,plain,
% 32.89/21.52 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | v71(constB133) | (~v76(constB133)) | (~v72(constB133))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[225, 224])).
% 32.89/21.52 tff(227,plain,
% 32.89/21.52 (v71(constB133) | (~v72(constB133))),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[226, 220, 210])).
% 32.89/21.52 tff(228,plain,
% 32.89/21.52 (~v72(constB133)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[227, 139])).
% 32.89/21.52 tff(229,plain,
% 32.89/21.52 (^[VarCurr: $i] : refl((v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(230,plain,
% 32.89/21.52 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[229])).
% 32.89/21.52 tff(231,plain,
% 32.89/21.52 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(232,plain,
% 32.89/21.52 (^[VarCurr: $i] : rewrite(((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(233,plain,
% 32.89/21.52 (![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[232])).
% 32.89/21.52 tff(234,axiom,(![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_13_1_1_1_1')).
% 32.89/21.52 tff(235,plain,
% 32.89/21.52 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[234, 233])).
% 32.89/21.52 tff(236,plain,
% 32.89/21.52 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[235, 231])).
% 32.89/21.52 tff(237,plain,(
% 32.89/21.52 ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 32.89/21.52 inference(skolemize,[status(sab)],[236])).
% 32.89/21.52 tff(238,plain,
% 32.89/21.52 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[237, 230])).
% 32.89/21.52 tff(239,plain,
% 32.89/21.52 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB133) | v72(constB133) | v74(constB133))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB133) | v72(constB133) | v74(constB133))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(240,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB133) | v72(constB133) | v74(constB133))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(241,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB133) | v72(constB133) | v74(constB133)),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[240, 239])).
% 32.89/21.52 tff(242,plain,
% 32.89/21.52 (v72(constB133) | v74(constB133)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[241, 238, 181])).
% 32.89/21.52 tff(243,plain,
% 32.89/21.52 (v74(constB133)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[242, 228])).
% 32.89/21.52 tff(244,assumption,(v26(constB132)), introduced(assumption)).
% 32.89/21.52 tff(245,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB132))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(246,plain,
% 32.89/21.52 ($false),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[245, 120, 244])).
% 32.89/21.52 tff(247,plain,(~v26(constB132)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.52 tff(248,plain,
% 32.89/21.52 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(249,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 32.89/21.52 tff(250,plain,
% 32.89/21.52 (nextState(constB132, constB133)),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[249, 248])).
% 32.89/21.52 tff(251,plain,
% 32.89/21.52 (^[VarNext: $i, VarCurr: $i] : refl((v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(252,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[251])).
% 32.89/21.52 tff(253,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(254,plain,
% 32.89/21.52 (^[VarNext: $i, VarCurr: $i] : rewrite(((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(255,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[254])).
% 32.89/21.52 tff(256,axiom,(![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_4_1_2')).
% 32.89/21.52 tff(257,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[256, 255])).
% 32.89/21.52 tff(258,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[257, 253])).
% 32.89/21.52 tff(259,plain,(
% 32.89/21.52 ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 32.89/21.52 inference(skolemize,[status(sab)],[258])).
% 32.89/21.52 tff(260,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[259, 252])).
% 32.89/21.52 tff(261,plain,
% 32.89/21.52 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB132, constB133)) | v26(constB132) | (~v66(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB132, constB133)) | v26(constB132) | (~v66(constB133)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(262,plain,
% 32.89/21.52 ((v26(constB132) | (~nextState(constB132, constB133)) | (~v66(constB133))) <=> ((~nextState(constB132, constB133)) | v26(constB132) | (~v66(constB133)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(263,plain,
% 32.89/21.52 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB132) | (~nextState(constB132, constB133)) | (~v66(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB132, constB133)) | v26(constB132) | (~v66(constB133))))),
% 32.89/21.52 inference(monotonicity,[status(thm)],[262])).
% 32.89/21.52 tff(264,plain,
% 32.89/21.52 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB132) | (~nextState(constB132, constB133)) | (~v66(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB132, constB133)) | v26(constB132) | (~v66(constB133)))),
% 32.89/21.52 inference(transitivity,[status(thm)],[263, 261])).
% 32.89/21.52 tff(265,plain,
% 32.89/21.52 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB132) | (~nextState(constB132, constB133)) | (~v66(constB133)))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(266,plain,
% 32.89/21.52 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB132, constB133)) | v26(constB132) | (~v66(constB133))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[265, 264])).
% 32.89/21.52 tff(267,plain,
% 32.89/21.52 (v26(constB132) | (~v66(constB133))),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[266, 260, 250])).
% 32.89/21.52 tff(268,plain,
% 32.89/21.52 (~v66(constB133)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[267, 247])).
% 32.89/21.52 tff(269,plain,
% 32.89/21.52 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(270,plain,
% 32.89/21.52 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[269])).
% 32.89/21.52 tff(271,plain,
% 32.89/21.52 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(272,plain,
% 32.89/21.52 (^[VarCurr: $i] : trans(monotonicity(rewrite((v64(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v64(VarCurr))), (((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ((v1(VarCurr) | v64(VarCurr)) | (~v9(VarCurr))))), rewrite(((v1(VarCurr) | v64(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))), (((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(273,plain,
% 32.89/21.52 (![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[272])).
% 32.89/21.52 tff(274,axiom,(![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_11_1_2')).
% 32.89/21.52 tff(275,plain,
% 32.89/21.52 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[274, 273])).
% 32.89/21.52 tff(276,plain,
% 32.89/21.52 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[275, 271])).
% 32.89/21.52 tff(277,plain,(
% 32.89/21.52 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 32.89/21.52 inference(skolemize,[status(sab)],[276])).
% 32.89/21.52 tff(278,plain,
% 32.89/21.52 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[277, 270])).
% 32.89/21.52 tff(279,plain,
% 32.89/21.52 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB133) | v64(constB133) | (~v9(constB133)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB133) | v64(constB133) | (~v9(constB133)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(280,plain,
% 32.89/21.52 ((v1(constB133) | (~v9(constB133)) | v64(constB133)) <=> (v1(constB133) | v64(constB133) | (~v9(constB133)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(281,plain,
% 32.89/21.52 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v64(constB133))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB133) | v64(constB133) | (~v9(constB133))))),
% 32.89/21.52 inference(monotonicity,[status(thm)],[280])).
% 32.89/21.52 tff(282,plain,
% 32.89/21.52 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v64(constB133))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB133) | v64(constB133) | (~v9(constB133)))),
% 32.89/21.52 inference(transitivity,[status(thm)],[281, 279])).
% 32.89/21.52 tff(283,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v64(constB133))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(284,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB133) | v64(constB133) | (~v9(constB133))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[283, 282])).
% 32.89/21.52 tff(285,plain,
% 32.89/21.52 (v64(constB133) | (~v9(constB133))),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[284, 278, 181])).
% 32.89/21.52 tff(286,plain,
% 32.89/21.52 (v64(constB133)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[285, 167])).
% 32.89/21.52 tff(287,plain,
% 32.89/21.52 (^[VarNext: $i] : refl(((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(288,plain,
% 32.89/21.52 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[287])).
% 32.89/21.52 tff(289,plain,
% 32.89/21.52 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(290,plain,
% 32.89/21.52 (^[VarNext: $i] : rewrite(((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(291,plain,
% 32.89/21.52 (![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[290])).
% 32.89/21.52 tff(292,axiom,(![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_2')).
% 32.89/21.52 tff(293,plain,
% 32.89/21.52 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[292, 291])).
% 32.89/21.52 tff(294,plain,
% 32.89/21.52 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[293, 289])).
% 32.89/21.52 tff(295,plain,(
% 32.89/21.52 ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 32.89/21.52 inference(skolemize,[status(sab)],[294])).
% 32.89/21.52 tff(296,plain,
% 32.89/21.52 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[295, 288])).
% 32.89/21.52 tff(297,plain,
% 32.89/21.52 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB133)) | v66(constB133) | (~v64(constB133)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB133)) | v66(constB133) | (~v64(constB133)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(298,plain,
% 32.89/21.52 (((~v64(constB133)) | (~v60(constB133)) | v66(constB133)) <=> ((~v60(constB133)) | v66(constB133) | (~v64(constB133)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(299,plain,
% 32.89/21.52 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB133)) | (~v60(constB133)) | v66(constB133))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB133)) | v66(constB133) | (~v64(constB133))))),
% 32.89/21.52 inference(monotonicity,[status(thm)],[298])).
% 32.89/21.52 tff(300,plain,
% 32.89/21.52 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB133)) | (~v60(constB133)) | v66(constB133))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB133)) | v66(constB133) | (~v64(constB133)))),
% 32.89/21.52 inference(transitivity,[status(thm)],[299, 297])).
% 32.89/21.52 tff(301,plain,
% 32.89/21.52 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB133)) | (~v60(constB133)) | v66(constB133))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(302,plain,
% 32.89/21.52 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB133)) | v66(constB133) | (~v64(constB133))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[301, 300])).
% 32.89/21.52 tff(303,plain,
% 32.89/21.52 ((~v60(constB133)) | v66(constB133)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[302, 296, 286])).
% 32.89/21.52 tff(304,plain,
% 32.89/21.52 (~v60(constB133)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[303, 268])).
% 32.89/21.52 tff(305,plain,
% 32.89/21.52 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(306,plain,
% 32.89/21.52 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[305])).
% 32.89/21.52 tff(307,plain,
% 32.89/21.52 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(308,plain,
% 32.89/21.52 (^[VarCurr: $i] : rewrite(((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(309,plain,
% 32.89/21.52 (![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[308])).
% 32.89/21.52 tff(310,axiom,(![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_16_1_2')).
% 32.89/21.52 tff(311,plain,
% 32.89/21.52 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[310, 309])).
% 32.89/21.52 tff(312,plain,
% 32.89/21.52 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[311, 307])).
% 32.89/21.52 tff(313,plain,(
% 32.89/21.52 ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 32.89/21.52 inference(skolemize,[status(sab)],[312])).
% 32.89/21.52 tff(314,plain,
% 32.89/21.52 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[313, 306])).
% 32.89/21.52 tff(315,plain,
% 32.89/21.52 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB133) | (~v26(constB133)) | (~v74(constB133)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB133) | (~v26(constB133)) | (~v74(constB133)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(316,plain,
% 32.89/21.52 (((~v26(constB133)) | v60(constB133) | (~v74(constB133))) <=> (v60(constB133) | (~v26(constB133)) | (~v74(constB133)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(317,plain,
% 32.89/21.52 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB133)) | v60(constB133) | (~v74(constB133)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB133) | (~v26(constB133)) | (~v74(constB133))))),
% 32.89/21.52 inference(monotonicity,[status(thm)],[316])).
% 32.89/21.52 tff(318,plain,
% 32.89/21.52 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB133)) | v60(constB133) | (~v74(constB133)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB133) | (~v26(constB133)) | (~v74(constB133)))),
% 32.89/21.52 inference(transitivity,[status(thm)],[317, 315])).
% 32.89/21.52 tff(319,plain,
% 32.89/21.52 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB133)) | v60(constB133) | (~v74(constB133)))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(320,plain,
% 32.89/21.52 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB133) | (~v26(constB133)) | (~v74(constB133))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[319, 318])).
% 32.89/21.52 tff(321,plain,
% 32.89/21.52 ((~v26(constB133)) | (~v74(constB133))),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[320, 314, 304])).
% 32.89/21.52 tff(322,plain,
% 32.89/21.52 (~v26(constB133)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[321, 243])).
% 32.89/21.52 tff(323,assumption,(v26(constB125)), introduced(assumption)).
% 32.89/21.52 tff(324,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB125))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(325,plain,
% 32.89/21.52 ($false),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[324, 120, 323])).
% 32.89/21.52 tff(326,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.52 tff(327,assumption,(v26(constB121)), introduced(assumption)).
% 32.89/21.52 tff(328,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB121))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(329,plain,
% 32.89/21.52 ($false),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[328, 120, 327])).
% 32.89/21.52 tff(330,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.52 tff(331,assumption,(~v26(constB121)), introduced(assumption)).
% 32.89/21.52 tff(332,assumption,(v26(constB119)), introduced(assumption)).
% 32.89/21.52 tff(333,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB119))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(334,plain,
% 32.89/21.52 ($false),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[333, 120, 332])).
% 32.89/21.52 tff(335,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.52 tff(336,assumption,(v26(constB99)), introduced(assumption)).
% 32.89/21.52 tff(337,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB99))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(338,plain,
% 32.89/21.52 ($false),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[337, 120, 336])).
% 32.89/21.52 tff(339,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.52 tff(340,assumption,(~v121(constB101)), introduced(assumption)).
% 32.89/21.52 tff(341,assumption,(~v26(constB99)), introduced(assumption)).
% 32.89/21.52 tff(342,assumption,(v26(constB13)), introduced(assumption)).
% 32.89/21.52 tff(343,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB13))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(344,plain,
% 32.89/21.52 ($false),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[343, 120, 342])).
% 32.89/21.52 tff(345,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.52 tff(346,assumption,(v26(constB11)), introduced(assumption)).
% 32.89/21.52 tff(347,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB11))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(348,plain,
% 32.89/21.52 ($false),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[347, 120, 346])).
% 32.89/21.52 tff(349,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.52 tff(350,assumption,(v26(constB9)), introduced(assumption)).
% 32.89/21.52 tff(351,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB9))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(352,plain,
% 32.89/21.52 ($false),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[351, 120, 350])).
% 32.89/21.52 tff(353,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.52 tff(354,assumption,(v26(constB7)), introduced(assumption)).
% 32.89/21.52 tff(355,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB7))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(356,plain,
% 32.89/21.52 ($false),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[355, 120, 354])).
% 32.89/21.52 tff(357,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.52 tff(358,assumption,(v26(constB3)), introduced(assumption)).
% 32.89/21.52 tff(359,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB3))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(360,plain,
% 32.89/21.52 ($false),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[359, 120, 358])).
% 32.89/21.52 tff(361,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.52 tff(362,assumption,(v26(constB1)), introduced(assumption)).
% 32.89/21.52 tff(363,plain,
% 32.89/21.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB1))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(364,plain,
% 32.89/21.52 ($false),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[363, 120, 362])).
% 32.89/21.52 tff(365,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 32.89/21.52 tff(366,plain,
% 32.89/21.52 ((~v1(constB1)) <=> (~v1(constB1))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(367,axiom,(~v1(constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 32.89/21.52 tff(368,plain,
% 32.89/21.52 (~v1(constB1)),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[367, 366])).
% 32.89/21.52 tff(369,plain,
% 32.89/21.52 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(370,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_200')).
% 32.89/21.52 tff(371,plain,
% 32.89/21.52 (nextState(constB0, constB1)),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[370, 369])).
% 32.89/21.52 tff(372,plain,
% 32.89/21.52 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(373,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[372])).
% 32.89/21.52 tff(374,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(375,plain,
% 32.89/21.52 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(376,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[375])).
% 32.89/21.52 tff(377,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 32.89/21.52 tff(378,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[377, 376])).
% 32.89/21.52 tff(379,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[378, 374])).
% 32.89/21.52 tff(380,plain,(
% 32.89/21.52 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 32.89/21.52 inference(skolemize,[status(sab)],[379])).
% 32.89/21.52 tff(381,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[380, 373])).
% 32.89/21.52 tff(382,plain,
% 32.89/21.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(383,plain,
% 32.89/21.52 (((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(384,plain,
% 32.89/21.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))))),
% 32.89/21.52 inference(monotonicity,[status(thm)],[383])).
% 32.89/21.52 tff(385,plain,
% 32.89/21.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 32.89/21.52 inference(transitivity,[status(thm)],[384, 382])).
% 32.89/21.52 tff(386,plain,
% 32.89/21.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(387,plain,
% 32.89/21.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[386, 385])).
% 32.89/21.52 tff(388,plain,
% 32.89/21.52 (~v101(constB1)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[387, 381, 371, 368])).
% 32.89/21.52 tff(389,plain,
% 32.89/21.52 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(390,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[389])).
% 32.89/21.52 tff(391,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(392,plain,
% 32.89/21.52 (^[VarNext: $i, VarCurr: $i] : rewrite(((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(393,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : ((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[392])).
% 32.89/21.52 tff(394,axiom,(![VarNext: $i, VarCurr: $i] : ((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 32.89/21.52 tff(395,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[394, 393])).
% 32.89/21.52 tff(396,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[395, 391])).
% 32.89/21.52 tff(397,plain,(
% 32.89/21.52 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 32.89/21.52 inference(skolemize,[status(sab)],[396])).
% 32.89/21.52 tff(398,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[397, 390])).
% 32.89/21.52 tff(399,plain,
% 32.89/21.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(400,plain,
% 32.89/21.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 32.89/21.52 inference(quant_inst,[status(thm)],[])).
% 32.89/21.52 tff(401,plain,
% 32.89/21.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1))),
% 32.89/21.52 inference(modus_ponens,[status(thm)],[400, 399])).
% 32.89/21.52 tff(402,plain,
% 32.89/21.52 (v101(constB1) | (~v100(constB1))),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[401, 398, 371])).
% 32.89/21.52 tff(403,plain,
% 32.89/21.52 (~v100(constB1)),
% 32.89/21.52 inference(unit_resolution,[status(thm)],[402, 388])).
% 32.89/21.52 tff(404,plain,
% 32.89/21.52 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(405,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[404])).
% 32.89/21.52 tff(406,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 32.89/21.52 inference(rewrite,[status(thm)],[])).
% 32.89/21.52 tff(407,plain,
% 32.89/21.52 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) <=> (v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2)))), (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) <=> ((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)))), rewrite(((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))), (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))))), ((((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))))), rewrite(((v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))), ((((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))))),
% 32.89/21.52 inference(bind,[status(th)],[])).
% 32.89/21.52 tff(408,plain,
% 32.89/21.52 (![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 32.89/21.52 inference(quant_intro,[status(thm)],[407])).
% 32.89/21.52 tff(409,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_6')).
% 32.89/21.53 tff(410,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[409, 408])).
% 32.89/21.53 tff(411,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[410, 406])).
% 32.89/21.53 tff(412,plain,(
% 32.89/21.53 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 32.89/21.53 inference(skolemize,[status(sab)],[411])).
% 32.89/21.53 tff(413,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[412, 405])).
% 32.89/21.53 tff(414,plain,
% 32.89/21.53 ((~v90(constB0, bitIndex2)) <=> (~v90(constB0, bitIndex2))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(415,axiom,(~v90(constB0, bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 32.89/21.53 tff(416,plain,
% 32.89/21.53 (~v90(constB0, bitIndex2)),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[415, 414])).
% 32.89/21.53 tff(417,plain,
% 32.89/21.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(418,plain,
% 32.89/21.53 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2))) <=> (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(419,plain,
% 32.89/21.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2))))),
% 32.89/21.53 inference(monotonicity,[status(thm)],[418])).
% 32.89/21.53 tff(420,plain,
% 32.89/21.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 32.89/21.53 inference(transitivity,[status(thm)],[419, 417])).
% 32.89/21.53 tff(421,plain,
% 32.89/21.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 32.89/21.53 inference(quant_inst,[status(thm)],[])).
% 32.89/21.53 tff(422,plain,
% 32.89/21.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[421, 420])).
% 32.89/21.53 tff(423,plain,
% 32.89/21.53 (v100(constB1) | (~v90(constB1, bitIndex2))),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[422, 416, 413, 371])).
% 32.89/21.53 tff(424,plain,
% 32.89/21.53 (~v90(constB1, bitIndex2)),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[423, 403])).
% 32.89/21.53 tff(425,plain,
% 32.89/21.53 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(426,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[425])).
% 32.89/21.53 tff(427,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(428,plain,
% 32.89/21.53 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) <=> (v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1)))), (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) <=> ((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)))), rewrite(((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))), (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))))), ((((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))))), rewrite(((v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))), ((((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(429,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[428])).
% 32.89/21.53 tff(430,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_4')).
% 32.89/21.53 tff(431,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[430, 429])).
% 32.89/21.53 tff(432,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[431, 427])).
% 32.89/21.53 tff(433,plain,(
% 32.89/21.53 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 32.89/21.53 inference(skolemize,[status(sab)],[432])).
% 32.89/21.53 tff(434,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[433, 426])).
% 32.89/21.53 tff(435,plain,
% 32.89/21.53 ((~v90(constB0, bitIndex1)) <=> (~v90(constB0, bitIndex1))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(436,axiom,(~v90(constB0, bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 32.89/21.53 tff(437,plain,
% 32.89/21.53 (~v90(constB0, bitIndex1)),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[436, 435])).
% 32.89/21.53 tff(438,plain,
% 32.89/21.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(439,plain,
% 32.89/21.53 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1))) <=> (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(440,plain,
% 32.89/21.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1))))),
% 32.89/21.53 inference(monotonicity,[status(thm)],[439])).
% 32.89/21.53 tff(441,plain,
% 32.89/21.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 32.89/21.53 inference(transitivity,[status(thm)],[440, 438])).
% 32.89/21.53 tff(442,plain,
% 32.89/21.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 32.89/21.53 inference(quant_inst,[status(thm)],[])).
% 32.89/21.53 tff(443,plain,
% 32.89/21.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[442, 441])).
% 32.89/21.53 tff(444,plain,
% 32.89/21.53 (v100(constB1) | (~v90(constB1, bitIndex1))),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[443, 437, 434, 371])).
% 32.89/21.53 tff(445,plain,
% 32.89/21.53 (~v90(constB1, bitIndex1)),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[444, 403])).
% 32.89/21.53 tff(446,plain,
% 32.89/21.53 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(447,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[446])).
% 32.89/21.53 tff(448,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(449,plain,
% 32.89/21.53 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0)))), (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) <=> ((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)))), rewrite(((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))), (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))))), ((((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))))), rewrite(((v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))), ((((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(450,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[449])).
% 32.89/21.53 tff(451,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_2')).
% 32.89/21.53 tff(452,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[451, 450])).
% 32.89/21.53 tff(453,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[452, 448])).
% 32.89/21.53 tff(454,plain,(
% 32.89/21.53 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 32.89/21.53 inference(skolemize,[status(sab)],[453])).
% 32.89/21.53 tff(455,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[454, 447])).
% 32.89/21.53 tff(456,plain,
% 32.89/21.53 ((~v90(constB0, bitIndex0)) <=> (~v90(constB0, bitIndex0))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(457,axiom,(~v90(constB0, bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 32.89/21.53 tff(458,plain,
% 32.89/21.53 (~v90(constB0, bitIndex0)),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[457, 456])).
% 32.89/21.53 tff(459,plain,
% 32.89/21.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(460,plain,
% 32.89/21.53 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0))) <=> (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(461,plain,
% 32.89/21.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0))))),
% 32.89/21.53 inference(monotonicity,[status(thm)],[460])).
% 32.89/21.53 tff(462,plain,
% 32.89/21.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 32.89/21.53 inference(transitivity,[status(thm)],[461, 459])).
% 32.89/21.53 tff(463,plain,
% 32.89/21.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 32.89/21.53 inference(quant_inst,[status(thm)],[])).
% 32.89/21.53 tff(464,plain,
% 32.89/21.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[463, 462])).
% 32.89/21.53 tff(465,plain,
% 32.89/21.53 (v100(constB1) | (~v90(constB1, bitIndex0))),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[464, 458, 455, 371])).
% 32.89/21.53 tff(466,plain,
% 32.89/21.53 (~v90(constB1, bitIndex0)),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[465, 403])).
% 32.89/21.53 tff(467,plain,
% 32.89/21.53 (^[VarCurr: $i] : refl((v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(468,plain,
% 32.89/21.53 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[467])).
% 32.89/21.53 tff(469,plain,
% 32.89/21.53 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(470,plain,
% 32.89/21.53 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ((v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)))), rewrite(((v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(471,plain,
% 32.89/21.53 (![VarCurr: $i] : (((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[470])).
% 32.89/21.53 tff(472,axiom,(![VarCurr: $i] : (((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 32.89/21.53 tff(473,plain,
% 32.89/21.53 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[472, 471])).
% 32.89/21.53 tff(474,plain,
% 32.89/21.53 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[473, 469])).
% 32.89/21.53 tff(475,plain,(
% 32.89/21.53 ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 32.89/21.53 inference(skolemize,[status(sab)],[474])).
% 32.89/21.53 tff(476,plain,
% 32.89/21.53 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[475, 468])).
% 32.89/21.53 tff(477,plain,
% 32.89/21.53 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(478,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 32.89/21.53 inference(quant_inst,[status(thm)],[])).
% 32.89/21.53 tff(479,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[478, 477])).
% 32.89/21.53 tff(480,plain,
% 32.89/21.53 (v119(constB1)),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[479, 476, 466, 445, 424])).
% 32.89/21.53 tff(481,plain,
% 32.89/21.53 (^[VarCurr: $i] : refl((v118(VarCurr) | (~v119(VarCurr))) <=> (v118(VarCurr) | (~v119(VarCurr))))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(482,plain,
% 32.89/21.53 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[481])).
% 32.89/21.53 tff(483,plain,
% 32.89/21.53 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(484,axiom,(![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_2')).
% 32.89/21.53 tff(485,plain,
% 32.89/21.53 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[484, 483])).
% 32.89/21.53 tff(486,plain,(
% 32.89/21.53 ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 32.89/21.53 inference(skolemize,[status(sab)],[485])).
% 32.89/21.53 tff(487,plain,
% 32.89/21.53 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[486, 482])).
% 32.89/21.53 tff(488,plain,
% 32.89/21.53 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB1) | (~v119(constB1)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB1) | (~v119(constB1)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(489,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB1) | (~v119(constB1)))),
% 32.89/21.53 inference(quant_inst,[status(thm)],[])).
% 32.89/21.53 tff(490,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB1) | (~v119(constB1))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[489, 488])).
% 32.89/21.53 tff(491,plain,
% 32.89/21.53 (v118(constB1)),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[490, 487, 480])).
% 32.89/21.53 tff(492,plain,
% 32.89/21.53 (^[VarCurr: $i] : refl((v117(VarCurr) | (~v118(VarCurr))) <=> (v117(VarCurr) | (~v118(VarCurr))))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(493,plain,
% 32.89/21.53 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[492])).
% 32.89/21.53 tff(494,plain,
% 32.89/21.53 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(495,axiom,(![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 32.89/21.53 tff(496,plain,
% 32.89/21.53 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[495, 494])).
% 32.89/21.53 tff(497,plain,(
% 32.89/21.53 ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 32.89/21.53 inference(skolemize,[status(sab)],[496])).
% 32.89/21.53 tff(498,plain,
% 32.89/21.53 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[497, 493])).
% 32.89/21.53 tff(499,plain,
% 32.89/21.53 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB1) | (~v118(constB1)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB1) | (~v118(constB1)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(500,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB1) | (~v118(constB1)))),
% 32.89/21.53 inference(quant_inst,[status(thm)],[])).
% 32.89/21.53 tff(501,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB1) | (~v118(constB1))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[500, 499])).
% 32.89/21.53 tff(502,plain,
% 32.89/21.53 (v117(constB1)),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[501, 498, 491])).
% 32.89/21.53 tff(503,plain,
% 32.89/21.53 (^[VarCurr: $i] : refl((v116(VarCurr) | (~v117(VarCurr))) <=> (v116(VarCurr) | (~v117(VarCurr))))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(504,plain,
% 32.89/21.53 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[503])).
% 32.89/21.53 tff(505,plain,
% 32.89/21.53 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(506,axiom,(![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 32.89/21.53 tff(507,plain,
% 32.89/21.53 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[506, 505])).
% 32.89/21.53 tff(508,plain,(
% 32.89/21.53 ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 32.89/21.53 inference(skolemize,[status(sab)],[507])).
% 32.89/21.53 tff(509,plain,
% 32.89/21.53 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[508, 504])).
% 32.89/21.53 tff(510,plain,
% 32.89/21.53 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB1) | (~v117(constB1)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB1) | (~v117(constB1)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(511,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB1) | (~v117(constB1)))),
% 32.89/21.53 inference(quant_inst,[status(thm)],[])).
% 32.89/21.53 tff(512,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB1) | (~v117(constB1))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[511, 510])).
% 32.89/21.53 tff(513,plain,
% 32.89/21.53 (v116(constB1)),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[512, 509, 502])).
% 32.89/21.53 tff(514,plain,
% 32.89/21.53 (^[VarCurr: $i] : refl((v115(VarCurr) | (~v116(VarCurr))) <=> (v115(VarCurr) | (~v116(VarCurr))))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(515,plain,
% 32.89/21.53 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[514])).
% 32.89/21.53 tff(516,plain,
% 32.89/21.53 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(517,axiom,(![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_2')).
% 32.89/21.53 tff(518,plain,
% 32.89/21.53 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[517, 516])).
% 32.89/21.53 tff(519,plain,(
% 32.89/21.53 ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 32.89/21.53 inference(skolemize,[status(sab)],[518])).
% 32.89/21.53 tff(520,plain,
% 32.89/21.53 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[519, 515])).
% 32.89/21.53 tff(521,plain,
% 32.89/21.53 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB1) | (~v116(constB1)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB1) | (~v116(constB1)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(522,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB1) | (~v116(constB1)))),
% 32.89/21.53 inference(quant_inst,[status(thm)],[])).
% 32.89/21.53 tff(523,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB1) | (~v116(constB1))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[522, 521])).
% 32.89/21.53 tff(524,plain,
% 32.89/21.53 (v115(constB1)),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[523, 520, 513])).
% 32.89/21.53 tff(525,plain,
% 32.89/21.53 (^[VarCurr: $i] : refl((v114(VarCurr) | (~v115(VarCurr))) <=> (v114(VarCurr) | (~v115(VarCurr))))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(526,plain,
% 32.89/21.53 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[525])).
% 32.89/21.53 tff(527,plain,
% 32.89/21.53 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(528,axiom,(![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 32.89/21.53 tff(529,plain,
% 32.89/21.53 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[528, 527])).
% 32.89/21.53 tff(530,plain,(
% 32.89/21.53 ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 32.89/21.53 inference(skolemize,[status(sab)],[529])).
% 32.89/21.53 tff(531,plain,
% 32.89/21.53 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[530, 526])).
% 32.89/21.53 tff(532,plain,
% 32.89/21.53 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB1) | (~v115(constB1)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB1) | (~v115(constB1)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(533,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB1) | (~v115(constB1)))),
% 32.89/21.53 inference(quant_inst,[status(thm)],[])).
% 32.89/21.53 tff(534,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB1) | (~v115(constB1))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[533, 532])).
% 32.89/21.53 tff(535,plain,
% 32.89/21.53 (v114(constB1)),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[534, 531, 524])).
% 32.89/21.53 tff(536,plain,
% 32.89/21.53 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v114(VarCurr))) <=> (v113(VarCurr) | (~v114(VarCurr))))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(537,plain,
% 32.89/21.53 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[536])).
% 32.89/21.53 tff(538,plain,
% 32.89/21.53 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(539,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 32.89/21.53 tff(540,plain,
% 32.89/21.53 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[539, 538])).
% 32.89/21.53 tff(541,plain,(
% 32.89/21.53 ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 32.89/21.53 inference(skolemize,[status(sab)],[540])).
% 32.89/21.53 tff(542,plain,
% 32.89/21.53 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[541, 537])).
% 32.89/21.53 tff(543,plain,
% 32.89/21.53 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB1) | (~v114(constB1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB1) | (~v114(constB1)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(544,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB1) | (~v114(constB1)))),
% 32.89/21.53 inference(quant_inst,[status(thm)],[])).
% 32.89/21.53 tff(545,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB1) | (~v114(constB1))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[544, 543])).
% 32.89/21.53 tff(546,plain,
% 32.89/21.53 (v113(constB1)),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[545, 542, 535])).
% 32.89/21.53 tff(547,plain,
% 32.89/21.53 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(548,plain,
% 32.89/21.53 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[547])).
% 32.89/21.53 tff(549,plain,
% 32.89/21.53 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(550,plain,
% 32.89/21.53 (^[VarCurr: $i] : rewrite(((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(551,plain,
% 32.89/21.53 (![VarCurr: $i] : ((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[550])).
% 32.89/21.53 tff(552,axiom,(![VarCurr: $i] : ((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 32.89/21.53 tff(553,plain,
% 32.89/21.53 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[552, 551])).
% 32.89/21.53 tff(554,plain,
% 32.89/21.53 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[553, 549])).
% 32.89/21.53 tff(555,plain,(
% 32.89/21.53 ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 32.89/21.53 inference(skolemize,[status(sab)],[554])).
% 32.89/21.53 tff(556,plain,
% 32.89/21.53 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[555, 548])).
% 32.89/21.53 tff(557,plain,
% 32.89/21.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(558,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 32.89/21.53 inference(quant_inst,[status(thm)],[])).
% 32.89/21.53 tff(559,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1)),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[558, 557])).
% 32.89/21.53 tff(560,plain,
% 32.89/21.53 (v26(constB1) | v112(constB1)),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[559, 556, 546])).
% 32.89/21.53 tff(561,plain,
% 32.89/21.53 (v112(constB1)),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[560, 365])).
% 32.89/21.53 tff(562,plain,
% 32.89/21.53 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v112(VarCurr))) <=> (v108(VarCurr) | (~v112(VarCurr))))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(563,plain,
% 32.89/21.53 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[562])).
% 32.89/21.53 tff(564,plain,
% 32.89/21.53 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(565,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 32.89/21.53 tff(566,plain,
% 32.89/21.53 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[565, 564])).
% 32.89/21.53 tff(567,plain,(
% 32.89/21.53 ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 32.89/21.53 inference(skolemize,[status(sab)],[566])).
% 32.89/21.53 tff(568,plain,
% 32.89/21.53 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[567, 563])).
% 32.89/21.53 tff(569,plain,
% 32.89/21.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB1) | (~v112(constB1)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(570,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB1) | (~v112(constB1)))),
% 32.89/21.53 inference(quant_inst,[status(thm)],[])).
% 32.89/21.53 tff(571,plain,
% 32.89/21.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB1) | (~v112(constB1))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[570, 569])).
% 32.89/21.53 tff(572,plain,
% 32.89/21.53 (v108(constB1)),
% 32.89/21.53 inference(unit_resolution,[status(thm)],[571, 568, 561])).
% 32.89/21.53 tff(573,plain,
% 32.89/21.53 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(574,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 32.89/21.53 tff(575,plain,
% 32.89/21.53 (nextState(constB1, constB2)),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[574, 573])).
% 32.89/21.53 tff(576,plain,
% 32.89/21.53 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(577,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[576])).
% 32.89/21.53 tff(578,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(579,plain,
% 32.89/21.53 (^[VarNext: $i, VarCurr: $i] : rewrite(((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 32.89/21.53 inference(bind,[status(th)],[])).
% 32.89/21.53 tff(580,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 32.89/21.53 inference(quant_intro,[status(thm)],[579])).
% 32.89/21.53 tff(581,axiom,(![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 32.89/21.53 tff(582,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[581, 580])).
% 32.89/21.53 tff(583,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[582, 578])).
% 32.89/21.53 tff(584,plain,(
% 32.89/21.53 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 32.89/21.53 inference(skolemize,[status(sab)],[583])).
% 32.89/21.53 tff(585,plain,
% 32.89/21.53 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 32.89/21.53 inference(modus_ponens,[status(thm)],[584, 577])).
% 32.89/21.53 tff(586,plain,
% 32.89/21.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(587,plain,
% 32.89/21.53 (((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2)) <=> ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 32.89/21.53 inference(rewrite,[status(thm)],[])).
% 32.89/21.53 tff(588,plain,
% 32.89/21.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))))),
% 32.89/21.53 inference(monotonicity,[status(thm)],[587])).
% 32.89/21.53 tff(589,plain,
% 32.89/21.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 32.89/21.54 inference(transitivity,[status(thm)],[588, 586])).
% 32.89/21.54 tff(590,plain,
% 32.89/21.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))),
% 32.89/21.54 inference(quant_inst,[status(thm)],[])).
% 32.89/21.54 tff(591,plain,
% 32.89/21.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[590, 589])).
% 32.89/21.54 tff(592,plain,
% 32.89/21.54 (v110(constB2) | (~v108(constB1))),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[591, 585, 575])).
% 32.89/21.54 tff(593,plain,
% 32.89/21.54 (v110(constB2)),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[592, 572])).
% 32.89/21.54 tff(594,plain,
% 32.89/21.54 (^[VarNext: $i, VarCurr: $i] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(595,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[594])).
% 32.89/21.54 tff(596,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(597,plain,
% 32.89/21.54 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(598,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[597])).
% 32.89/21.54 tff(599,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 32.89/21.54 tff(600,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[599, 598])).
% 32.89/21.54 tff(601,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[600, 596])).
% 32.89/21.54 tff(602,plain,(
% 32.89/21.54 ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 32.89/21.54 inference(skolemize,[status(sab)],[601])).
% 32.89/21.54 tff(603,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[602, 595])).
% 32.89/21.54 tff(604,plain,
% 32.89/21.54 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(605,plain,
% 32.89/21.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 32.89/21.54 inference(quant_inst,[status(thm)],[])).
% 32.89/21.54 tff(606,plain,
% 32.89/21.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[605, 604])).
% 32.89/21.54 tff(607,plain,
% 32.89/21.54 (~v104(constB2)),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[606, 603, 575, 368])).
% 32.89/21.54 tff(608,plain,
% 32.89/21.54 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(609,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[608])).
% 32.89/21.54 tff(610,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(611,plain,
% 32.89/21.54 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v104(VarNext) | v102(VarNext)) <=> (v102(VarNext) | v104(VarNext))), (((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v102(VarNext) | v104(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite(((v102(VarNext) | v104(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))), (((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(612,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[611])).
% 32.89/21.54 tff(613,axiom,(![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 32.89/21.54 tff(614,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[613, 612])).
% 32.89/21.54 tff(615,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[614, 610])).
% 32.89/21.54 tff(616,plain,(
% 32.89/21.54 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 32.89/21.54 inference(skolemize,[status(sab)],[615])).
% 32.89/21.54 tff(617,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[616, 609])).
% 32.89/21.54 tff(618,plain,
% 32.89/21.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(619,plain,
% 32.89/21.54 (((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2)) <=> ((~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(620,plain,
% 32.89/21.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | v102(constB2)))),
% 32.89/21.54 inference(monotonicity,[status(thm)],[619])).
% 32.89/21.54 tff(621,plain,
% 32.89/21.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))),
% 32.89/21.54 inference(transitivity,[status(thm)],[620, 618])).
% 32.89/21.54 tff(622,plain,
% 32.89/21.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 32.89/21.54 inference(quant_inst,[status(thm)],[])).
% 32.89/21.54 tff(623,plain,
% 32.89/21.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | v102(constB2)),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[622, 621])).
% 32.89/21.54 tff(624,plain,
% 32.89/21.54 (v104(constB2) | v102(constB2)),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[623, 617, 575])).
% 32.89/21.54 tff(625,plain,
% 32.89/21.54 (v102(constB2)),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[624, 607])).
% 32.89/21.54 tff(626,plain,
% 32.89/21.54 (v1(constB2) <=> v1(constB2)),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(627,axiom,(v1(constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 32.89/21.54 tff(628,plain,
% 32.89/21.54 (v1(constB2)),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[627, 626])).
% 32.89/21.54 tff(629,plain,
% 32.89/21.54 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(630,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[629])).
% 32.89/21.54 tff(631,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(632,plain,
% 32.89/21.54 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) <=> (v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))), ((((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))))), rewrite(((v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))), ((((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(633,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : (((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[632])).
% 32.89/21.54 tff(634,axiom,(![VarNext: $i, VarCurr: $i] : (((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_1')).
% 32.89/21.54 tff(635,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[634, 633])).
% 32.89/21.54 tff(636,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[635, 631])).
% 32.89/21.54 tff(637,plain,(
% 32.89/21.54 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 32.89/21.54 inference(skolemize,[status(sab)],[636])).
% 32.89/21.54 tff(638,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[637, 630])).
% 32.89/21.54 tff(639,plain,
% 32.89/21.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(640,plain,
% 32.89/21.54 (((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2))) <=> ((~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(641,plain,
% 32.89/21.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2))))),
% 32.89/21.54 inference(monotonicity,[status(thm)],[640])).
% 32.89/21.54 tff(642,plain,
% 32.89/21.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))),
% 32.89/21.54 inference(transitivity,[status(thm)],[641, 639])).
% 32.89/21.54 tff(643,plain,
% 32.89/21.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 32.89/21.54 inference(quant_inst,[status(thm)],[])).
% 32.89/21.54 tff(644,plain,
% 32.89/21.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[643, 642])).
% 32.89/21.54 tff(645,plain,
% 32.89/21.54 (v101(constB2) | (~v102(constB2))),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[644, 638, 575, 628])).
% 32.89/21.54 tff(646,plain,
% 32.89/21.54 (v101(constB2)),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[645, 625])).
% 32.89/21.54 tff(647,plain,
% 32.89/21.54 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(648,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[647])).
% 32.89/21.54 tff(649,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(650,plain,
% 32.89/21.54 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) <=> ((~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))), ((((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (((~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))), ((((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(651,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : (((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[650])).
% 32.89/21.54 tff(652,axiom,(![VarNext: $i, VarCurr: $i] : (((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_1')).
% 32.89/21.54 tff(653,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[652, 651])).
% 32.89/21.54 tff(654,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[653, 649])).
% 32.89/21.54 tff(655,plain,(
% 32.89/21.54 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 32.89/21.54 inference(skolemize,[status(sab)],[654])).
% 32.89/21.54 tff(656,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[655, 648])).
% 32.89/21.54 tff(657,plain,
% 32.89/21.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(658,plain,
% 32.89/21.54 (((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2)) <=> ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(659,plain,
% 32.89/21.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))))),
% 32.89/21.54 inference(monotonicity,[status(thm)],[658])).
% 32.89/21.54 tff(660,plain,
% 32.89/21.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 32.89/21.54 inference(transitivity,[status(thm)],[659, 657])).
% 32.89/21.54 tff(661,plain,
% 32.89/21.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))),
% 32.89/21.54 inference(quant_inst,[status(thm)],[])).
% 32.89/21.54 tff(662,plain,
% 32.89/21.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[661, 660])).
% 32.89/21.54 tff(663,plain,
% 32.89/21.54 (v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[662, 656, 575])).
% 32.89/21.54 tff(664,plain,
% 32.89/21.54 (v100(constB2) | (~v110(constB2))),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[663, 646])).
% 32.89/21.54 tff(665,plain,
% 32.89/21.54 (v100(constB2)),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[664, 593])).
% 32.89/21.54 tff(666,plain,
% 32.89/21.54 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(667,plain,
% 32.89/21.54 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[666])).
% 32.89/21.54 tff(668,plain,
% 32.89/21.54 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(669,plain,
% 32.89/21.54 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(670,plain,
% 32.89/21.54 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[669])).
% 32.89/21.54 tff(671,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_3')).
% 32.89/21.54 tff(672,plain,
% 32.89/21.54 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[671, 670])).
% 32.89/21.54 tff(673,plain,
% 32.89/21.54 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[672, 668])).
% 32.89/21.54 tff(674,plain,(
% 32.89/21.54 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.89/21.54 inference(skolemize,[status(sab)],[673])).
% 32.89/21.54 tff(675,plain,
% 32.89/21.54 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[674, 667])).
% 32.89/21.54 tff(676,plain,
% 32.89/21.54 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB1)) | (~v130(constB1, bitIndex2)))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(677,plain,
% 32.89/21.54 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex2)))),
% 32.89/21.54 inference(quant_inst,[status(thm)],[])).
% 32.89/21.54 tff(678,plain,
% 32.89/21.54 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB1)) | (~v130(constB1, bitIndex2))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[677, 676])).
% 32.89/21.54 tff(679,plain,
% 32.89/21.54 (~v130(constB1, bitIndex2)),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[678, 675, 480])).
% 32.89/21.54 tff(680,plain,
% 32.89/21.54 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(681,plain,
% 32.89/21.54 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[680])).
% 32.89/21.54 tff(682,plain,
% 32.89/21.54 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(683,plain,
% 32.89/21.54 (^[VarCurr: $i] : trans(monotonicity(rewrite((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> (v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))), (((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)))), rewrite(((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))), (((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(684,plain,
% 32.89/21.54 (![VarCurr: $i] : ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[683])).
% 32.89/21.54 tff(685,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 32.89/21.54 tff(686,plain,
% 32.89/21.54 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[685, 684])).
% 32.89/21.54 tff(687,plain,
% 32.89/21.54 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[686, 682])).
% 32.89/21.54 tff(688,plain,(
% 32.89/21.54 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 32.89/21.54 inference(skolemize,[status(sab)],[687])).
% 32.89/21.54 tff(689,plain,
% 32.89/21.54 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[688, 681])).
% 32.89/21.54 tff(690,plain,
% 32.89/21.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(691,plain,
% 32.89/21.54 ((v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2))) <=> ((~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(692,plain,
% 32.89/21.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2)))),
% 32.89/21.54 inference(monotonicity,[status(thm)],[691])).
% 32.89/21.54 tff(693,plain,
% 32.89/21.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))),
% 32.89/21.54 inference(transitivity,[status(thm)],[692, 690])).
% 32.89/21.54 tff(694,plain,
% 32.89/21.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2)))),
% 32.89/21.54 inference(quant_inst,[status(thm)],[])).
% 32.89/21.54 tff(695,plain,
% 32.89/21.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2)),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[694, 693])).
% 32.89/21.54 tff(696,plain,
% 32.89/21.54 ((~v127(constB1, bitIndex2)) | v26(constB1)),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[695, 689, 679])).
% 32.89/21.54 tff(697,plain,
% 32.89/21.54 (~v127(constB1, bitIndex2)),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[696, 365])).
% 32.89/21.54 tff(698,plain,
% 32.89/21.54 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(699,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[698])).
% 32.89/21.54 tff(700,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(701,plain,
% 32.89/21.54 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> (v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))), (((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))))), rewrite(((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))), (((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(702,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[701])).
% 32.89/21.54 tff(703,axiom,(![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 32.89/21.54 tff(704,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[703, 702])).
% 32.89/21.54 tff(705,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[704, 700])).
% 32.89/21.54 tff(706,plain,(
% 32.89/21.54 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 32.89/21.54 inference(skolemize,[status(sab)],[705])).
% 32.89/21.54 tff(707,plain,
% 32.89/21.54 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[706, 699])).
% 32.89/21.54 tff(708,plain,
% 32.89/21.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2)))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(709,plain,
% 32.89/21.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2)))),
% 32.89/21.54 inference(quant_inst,[status(thm)],[])).
% 32.89/21.54 tff(710,plain,
% 32.89/21.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[709, 708])).
% 32.89/21.54 tff(711,plain,
% 32.89/21.54 (v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2))),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[710, 707, 575])).
% 32.89/21.54 tff(712,plain,
% 32.89/21.54 (~v129(constB2, bitIndex2)),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[711, 697])).
% 32.89/21.54 tff(713,plain,
% 32.89/21.54 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(714,plain,
% 32.89/21.54 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[713])).
% 32.89/21.54 tff(715,plain,
% 32.89/21.54 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(716,plain,
% 32.89/21.54 (^[VarNext: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) <=> ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext))) <=> (((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2)) | (~v100(VarNext))))), rewrite((((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2)) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))))),
% 32.89/21.54 inference(bind,[status(th)],[])).
% 32.89/21.54 tff(717,plain,
% 32.89/21.54 (![VarNext: $i] : ((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 32.89/21.54 inference(quant_intro,[status(thm)],[716])).
% 32.89/21.54 tff(718,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_6')).
% 32.89/21.54 tff(719,plain,
% 32.89/21.54 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[718, 717])).
% 32.89/21.54 tff(720,plain,
% 32.89/21.54 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[719, 715])).
% 32.89/21.54 tff(721,plain,(
% 32.89/21.54 ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 32.89/21.54 inference(skolemize,[status(sab)],[720])).
% 32.89/21.54 tff(722,plain,
% 32.89/21.54 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[721, 714])).
% 32.89/21.54 tff(723,plain,
% 32.89/21.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(724,plain,
% 32.89/21.54 (((~v90(constB2, bitIndex2)) | (~v100(constB2)) | v129(constB2, bitIndex2)) <=> ((~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(725,plain,
% 32.89/21.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~v100(constB2)) | v129(constB2, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2))))),
% 32.89/21.54 inference(monotonicity,[status(thm)],[724])).
% 32.89/21.54 tff(726,plain,
% 32.89/21.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~v100(constB2)) | v129(constB2, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))),
% 32.89/21.54 inference(transitivity,[status(thm)],[725, 723])).
% 32.89/21.54 tff(727,plain,
% 32.89/21.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~v100(constB2)) | v129(constB2, bitIndex2))),
% 32.89/21.54 inference(quant_inst,[status(thm)],[])).
% 32.89/21.54 tff(728,plain,
% 32.89/21.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2))),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[727, 726])).
% 32.89/21.54 tff(729,plain,
% 32.89/21.54 ((~v90(constB2, bitIndex2)) | (~v100(constB2))),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[728, 722, 712])).
% 32.89/21.54 tff(730,plain,
% 32.89/21.54 (~v90(constB2, bitIndex2)),
% 32.89/21.54 inference(unit_resolution,[status(thm)],[729, 665])).
% 32.89/21.54 tff(731,plain,
% 32.89/21.54 ((~v1(constB3)) <=> (~v1(constB3))),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(732,axiom,(~v1(constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 32.89/21.54 tff(733,plain,
% 32.89/21.54 (~v1(constB3)),
% 32.89/21.54 inference(modus_ponens,[status(thm)],[732, 731])).
% 32.89/21.54 tff(734,plain,
% 32.89/21.54 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 32.89/21.54 inference(rewrite,[status(thm)],[])).
% 32.89/21.54 tff(735,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 32.89/21.55 tff(736,plain,
% 32.89/21.55 (nextState(constB2, constB3)),
% 32.89/21.55 inference(modus_ponens,[status(thm)],[735, 734])).
% 32.89/21.55 tff(737,plain,
% 32.89/21.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 32.89/21.55 inference(rewrite,[status(thm)],[])).
% 32.89/21.55 tff(738,plain,
% 32.89/21.55 (((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 32.89/21.55 inference(rewrite,[status(thm)],[])).
% 32.89/21.55 tff(739,plain,
% 32.89/21.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))))),
% 32.89/21.55 inference(monotonicity,[status(thm)],[738])).
% 32.89/21.55 tff(740,plain,
% 32.89/21.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 32.89/21.55 inference(transitivity,[status(thm)],[739, 737])).
% 32.89/21.55 tff(741,plain,
% 32.89/21.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))),
% 32.89/21.55 inference(quant_inst,[status(thm)],[])).
% 32.89/21.55 tff(742,plain,
% 32.89/21.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))),
% 32.89/21.55 inference(modus_ponens,[status(thm)],[741, 740])).
% 32.89/21.55 tff(743,plain,
% 32.89/21.55 (~v101(constB3)),
% 32.89/21.55 inference(unit_resolution,[status(thm)],[742, 381, 736, 733])).
% 32.89/21.55 tff(744,plain,
% 32.89/21.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 32.89/21.55 inference(rewrite,[status(thm)],[])).
% 32.89/21.55 tff(745,plain,
% 32.89/21.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 32.89/21.55 inference(quant_inst,[status(thm)],[])).
% 32.89/21.55 tff(746,plain,
% 32.89/21.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3))),
% 32.89/21.55 inference(modus_ponens,[status(thm)],[745, 744])).
% 32.89/21.55 tff(747,plain,
% 32.89/21.55 (v101(constB3) | (~v100(constB3))),
% 32.89/21.55 inference(unit_resolution,[status(thm)],[746, 398, 736])).
% 32.89/21.55 tff(748,plain,
% 32.89/21.55 (~v100(constB3)),
% 32.89/21.55 inference(unit_resolution,[status(thm)],[747, 743])).
% 32.89/21.55 tff(749,plain,
% 32.89/21.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 32.89/21.55 inference(rewrite,[status(thm)],[])).
% 32.89/21.55 tff(750,plain,
% 32.89/21.55 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2))) <=> (v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 32.89/21.55 inference(rewrite,[status(thm)],[])).
% 32.89/21.55 tff(751,plain,
% 32.89/21.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2))))),
% 32.89/21.55 inference(monotonicity,[status(thm)],[750])).
% 32.89/21.55 tff(752,plain,
% 32.89/21.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 32.89/21.55 inference(transitivity,[status(thm)],[751, 749])).
% 32.89/21.55 tff(753,plain,
% 32.89/21.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 32.89/21.55 inference(quant_inst,[status(thm)],[])).
% 32.89/21.55 tff(754,plain,
% 32.89/21.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2))),
% 32.89/21.55 inference(modus_ponens,[status(thm)],[753, 752])).
% 32.89/21.55 tff(755,plain,
% 32.89/21.55 (v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2))),
% 32.89/21.55 inference(unit_resolution,[status(thm)],[754, 413, 736])).
% 32.89/21.55 tff(756,plain,
% 32.89/21.55 (v90(constB2, bitIndex2) | (~v90(constB3, bitIndex2))),
% 32.89/21.55 inference(unit_resolution,[status(thm)],[755, 748])).
% 32.89/21.55 tff(757,plain,
% 32.89/21.55 (~v90(constB3, bitIndex2)),
% 32.89/21.55 inference(unit_resolution,[status(thm)],[756, 730])).
% 32.89/21.55 tff(758,plain,
% 32.89/21.55 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 32.89/21.55 inference(bind,[status(th)],[])).
% 32.89/21.55 tff(759,plain,
% 32.89/21.55 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 32.89/21.55 inference(quant_intro,[status(thm)],[758])).
% 32.89/21.55 tff(760,plain,
% 32.89/21.55 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 32.89/21.55 inference(rewrite,[status(thm)],[])).
% 32.89/21.55 tff(761,plain,
% 32.89/21.55 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 32.89/21.55 inference(bind,[status(th)],[])).
% 32.89/21.55 tff(762,plain,
% 32.89/21.55 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 32.89/21.55 inference(quant_intro,[status(thm)],[761])).
% 32.89/21.55 tff(763,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_2')).
% 32.89/21.55 tff(764,plain,
% 32.89/21.55 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 32.89/21.55 inference(modus_ponens,[status(thm)],[763, 762])).
% 32.89/21.55 tff(765,plain,
% 32.89/21.55 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 32.89/21.55 inference(modus_ponens,[status(thm)],[764, 760])).
% 32.89/21.55 tff(766,plain,(
% 32.89/21.55 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 32.89/21.55 inference(skolemize,[status(sab)],[765])).
% 32.89/21.55 tff(767,plain,
% 32.89/21.55 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 32.89/21.55 inference(modus_ponens,[status(thm)],[766, 759])).
% 32.89/21.55 tff(768,plain,
% 32.89/21.55 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 32.89/21.55 inference(rewrite,[status(thm)],[])).
% 32.89/21.55 tff(769,plain,
% 32.89/21.55 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 32.89/21.55 inference(quant_inst,[status(thm)],[])).
% 32.89/21.55 tff(770,plain,
% 32.89/21.55 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1))),
% 32.89/21.55 inference(modus_ponens,[status(thm)],[769, 768])).
% 32.89/21.55 tff(771,plain,
% 32.89/21.55 (~v130(constB1, bitIndex1)),
% 32.89/21.55 inference(unit_resolution,[status(thm)],[770, 767, 480])).
% 32.89/21.55 tff(772,plain,
% 32.89/21.55 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))))),
% 32.89/21.55 inference(bind,[status(th)],[])).
% 32.89/21.55 tff(773,plain,
% 32.89/21.55 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 32.89/21.55 inference(quant_intro,[status(thm)],[772])).
% 32.89/21.55 tff(774,plain,
% 32.89/21.55 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 32.89/21.55 inference(rewrite,[status(thm)],[])).
% 32.89/21.55 tff(775,plain,
% 32.89/21.55 (^[VarCurr: $i] : trans(monotonicity(rewrite((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> (v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))), (((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)))), rewrite(((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))), (((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))))),
% 32.89/21.55 inference(bind,[status(th)],[])).
% 32.89/21.55 tff(776,plain,
% 32.89/21.55 (![VarCurr: $i] : ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 32.89/21.55 inference(quant_intro,[status(thm)],[775])).
% 32.89/21.55 tff(777,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 32.89/21.55 tff(778,plain,
% 32.89/21.55 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 32.89/21.55 inference(modus_ponens,[status(thm)],[777, 776])).
% 32.89/21.55 tff(779,plain,
% 32.89/21.55 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 32.89/21.55 inference(modus_ponens,[status(thm)],[778, 774])).
% 32.89/21.55 tff(780,plain,(
% 32.89/21.55 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 32.89/21.55 inference(skolemize,[status(sab)],[779])).
% 32.89/21.55 tff(781,plain,
% 32.89/21.55 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 32.89/21.55 inference(modus_ponens,[status(thm)],[780, 773])).
% 32.89/21.55 tff(782,plain,
% 32.89/21.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 32.89/21.55 inference(rewrite,[status(thm)],[])).
% 32.89/21.55 tff(783,plain,
% 32.89/21.55 ((v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1))) <=> ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 32.89/21.55 inference(rewrite,[status(thm)],[])).
% 32.89/21.55 tff(784,plain,
% 32.89/21.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)))),
% 32.96/21.55 inference(monotonicity,[status(thm)],[783])).
% 32.96/21.55 tff(785,plain,
% 32.96/21.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 32.96/21.55 inference(transitivity,[status(thm)],[784, 782])).
% 32.96/21.55 tff(786,plain,
% 32.96/21.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))),
% 32.96/21.55 inference(quant_inst,[status(thm)],[])).
% 32.96/21.55 tff(787,plain,
% 32.96/21.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[786, 785])).
% 32.96/21.55 tff(788,plain,
% 32.96/21.55 ((~v127(constB1, bitIndex1)) | v26(constB1)),
% 32.96/21.55 inference(unit_resolution,[status(thm)],[787, 781, 771])).
% 32.96/21.55 tff(789,plain,
% 32.96/21.55 (~v127(constB1, bitIndex1)),
% 32.96/21.55 inference(unit_resolution,[status(thm)],[788, 365])).
% 32.96/21.55 tff(790,plain,
% 32.96/21.55 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))))),
% 32.96/21.55 inference(bind,[status(th)],[])).
% 32.96/21.55 tff(791,plain,
% 32.96/21.55 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 32.96/21.55 inference(quant_intro,[status(thm)],[790])).
% 32.96/21.55 tff(792,plain,
% 32.96/21.55 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 32.96/21.55 inference(rewrite,[status(thm)],[])).
% 32.96/21.55 tff(793,plain,
% 32.96/21.55 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> (v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))), (((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))))), rewrite(((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))), (((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))))),
% 32.96/21.55 inference(bind,[status(th)],[])).
% 32.96/21.55 tff(794,plain,
% 32.96/21.55 (![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 32.96/21.55 inference(quant_intro,[status(thm)],[793])).
% 32.96/21.55 tff(795,axiom,(![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 32.96/21.55 tff(796,plain,
% 32.96/21.55 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[795, 794])).
% 32.96/21.55 tff(797,plain,
% 32.96/21.55 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[796, 792])).
% 32.96/21.55 tff(798,plain,(
% 32.96/21.55 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 32.96/21.55 inference(skolemize,[status(sab)],[797])).
% 32.96/21.55 tff(799,plain,
% 32.96/21.55 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[798, 791])).
% 32.96/21.55 tff(800,plain,
% 32.96/21.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 32.96/21.55 inference(rewrite,[status(thm)],[])).
% 32.96/21.55 tff(801,plain,
% 32.96/21.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 32.96/21.55 inference(quant_inst,[status(thm)],[])).
% 32.96/21.55 tff(802,plain,
% 32.96/21.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[801, 800])).
% 32.96/21.55 tff(803,plain,
% 32.96/21.55 (v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 32.96/21.55 inference(unit_resolution,[status(thm)],[802, 799, 575])).
% 32.96/21.55 tff(804,plain,
% 32.96/21.55 (~v129(constB2, bitIndex1)),
% 32.96/21.55 inference(unit_resolution,[status(thm)],[803, 789])).
% 32.96/21.55 tff(805,plain,
% 32.96/21.55 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)))),
% 32.96/21.55 inference(bind,[status(th)],[])).
% 32.96/21.55 tff(806,plain,
% 32.96/21.55 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 32.96/21.55 inference(quant_intro,[status(thm)],[805])).
% 32.96/21.55 tff(807,plain,
% 32.96/21.55 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 32.96/21.55 inference(rewrite,[status(thm)],[])).
% 32.96/21.55 tff(808,plain,
% 32.96/21.55 (^[VarNext: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) <=> ((~v90(VarNext, bitIndex1)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext))) <=> (((~v90(VarNext, bitIndex1)) | v129(VarNext, bitIndex1)) | (~v100(VarNext))))), rewrite((((~v90(VarNext, bitIndex1)) | v129(VarNext, bitIndex1)) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))))),
% 32.96/21.55 inference(bind,[status(th)],[])).
% 32.96/21.55 tff(809,plain,
% 32.96/21.55 (![VarNext: $i] : ((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 32.96/21.55 inference(quant_intro,[status(thm)],[808])).
% 32.96/21.55 tff(810,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_4')).
% 32.96/21.55 tff(811,plain,
% 32.96/21.55 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[810, 809])).
% 32.96/21.55 tff(812,plain,
% 32.96/21.55 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[811, 807])).
% 32.96/21.55 tff(813,plain,(
% 32.96/21.55 ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 32.96/21.55 inference(skolemize,[status(sab)],[812])).
% 32.96/21.55 tff(814,plain,
% 32.96/21.55 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[813, 806])).
% 32.96/21.55 tff(815,plain,
% 32.96/21.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 32.96/21.55 inference(rewrite,[status(thm)],[])).
% 32.96/21.55 tff(816,plain,
% 32.96/21.55 (((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1)) <=> ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 32.96/21.55 inference(rewrite,[status(thm)],[])).
% 32.96/21.55 tff(817,plain,
% 32.96/21.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))))),
% 32.96/21.55 inference(monotonicity,[status(thm)],[816])).
% 32.96/21.55 tff(818,plain,
% 32.96/21.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 32.96/21.55 inference(transitivity,[status(thm)],[817, 815])).
% 32.96/21.55 tff(819,plain,
% 32.96/21.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))),
% 32.96/21.55 inference(quant_inst,[status(thm)],[])).
% 32.96/21.55 tff(820,plain,
% 32.96/21.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[819, 818])).
% 32.96/21.55 tff(821,plain,
% 32.96/21.55 ((~v90(constB2, bitIndex1)) | (~v100(constB2))),
% 32.96/21.55 inference(unit_resolution,[status(thm)],[820, 814, 804])).
% 32.96/21.55 tff(822,plain,
% 32.96/21.55 (~v90(constB2, bitIndex1)),
% 32.96/21.55 inference(unit_resolution,[status(thm)],[821, 665])).
% 32.96/21.55 tff(823,plain,
% 32.96/21.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 32.96/21.55 inference(rewrite,[status(thm)],[])).
% 32.96/21.55 tff(824,plain,
% 32.96/21.55 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))) <=> (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 32.96/21.55 inference(rewrite,[status(thm)],[])).
% 32.96/21.55 tff(825,plain,
% 32.96/21.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1))))),
% 32.96/21.55 inference(monotonicity,[status(thm)],[824])).
% 32.96/21.55 tff(826,plain,
% 32.96/21.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 32.96/21.55 inference(transitivity,[status(thm)],[825, 823])).
% 32.96/21.55 tff(827,plain,
% 32.96/21.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 32.96/21.55 inference(quant_inst,[status(thm)],[])).
% 32.96/21.55 tff(828,plain,
% 32.96/21.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[827, 826])).
% 32.96/21.55 tff(829,plain,
% 32.96/21.55 (v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 32.96/21.55 inference(unit_resolution,[status(thm)],[828, 434, 736])).
% 32.96/21.55 tff(830,plain,
% 32.96/21.55 (v90(constB2, bitIndex1) | (~v90(constB3, bitIndex1))),
% 32.96/21.55 inference(unit_resolution,[status(thm)],[829, 748])).
% 32.96/21.55 tff(831,plain,
% 32.96/21.55 (~v90(constB3, bitIndex1)),
% 32.96/21.55 inference(unit_resolution,[status(thm)],[830, 822])).
% 32.96/21.55 tff(832,plain,
% 32.96/21.55 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 32.96/21.55 inference(bind,[status(th)],[])).
% 32.96/21.55 tff(833,plain,
% 32.96/21.55 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 32.96/21.55 inference(quant_intro,[status(thm)],[832])).
% 32.96/21.55 tff(834,plain,
% 32.96/21.55 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 32.96/21.55 inference(rewrite,[status(thm)],[])).
% 32.96/21.55 tff(835,plain,
% 32.96/21.55 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 32.96/21.55 inference(bind,[status(th)],[])).
% 32.96/21.55 tff(836,plain,
% 32.96/21.55 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 32.96/21.55 inference(quant_intro,[status(thm)],[835])).
% 32.96/21.55 tff(837,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_1')).
% 32.96/21.55 tff(838,plain,
% 32.96/21.55 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[837, 836])).
% 32.96/21.55 tff(839,plain,
% 32.96/21.55 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[838, 834])).
% 32.96/21.55 tff(840,plain,(
% 32.96/21.55 ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 32.96/21.55 inference(skolemize,[status(sab)],[839])).
% 32.96/21.55 tff(841,plain,
% 32.96/21.55 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[840, 833])).
% 32.96/21.55 tff(842,plain,
% 32.96/21.55 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB1)) | v130(constB1, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB1)) | v130(constB1, bitIndex0))),
% 32.96/21.55 inference(rewrite,[status(thm)],[])).
% 32.96/21.55 tff(843,plain,
% 32.96/21.55 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB1)) | v130(constB1, bitIndex0))),
% 32.96/21.55 inference(quant_inst,[status(thm)],[])).
% 32.96/21.55 tff(844,plain,
% 32.96/21.55 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB1)) | v130(constB1, bitIndex0)),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[843, 842])).
% 32.96/21.55 tff(845,plain,
% 32.96/21.55 (v130(constB1, bitIndex0)),
% 32.96/21.55 inference(unit_resolution,[status(thm)],[844, 841, 480])).
% 32.96/21.55 tff(846,plain,
% 32.96/21.55 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)))),
% 32.96/21.55 inference(bind,[status(th)],[])).
% 32.96/21.55 tff(847,plain,
% 32.96/21.55 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 32.96/21.55 inference(quant_intro,[status(thm)],[846])).
% 32.96/21.55 tff(848,plain,
% 32.96/21.55 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 32.96/21.55 inference(rewrite,[status(thm)],[])).
% 32.96/21.55 tff(849,plain,
% 32.96/21.55 (^[VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) <=> ((~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))), (((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (((~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) | v26(VarCurr)))), rewrite((((~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))), (((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))))),
% 32.96/21.55 inference(bind,[status(th)],[])).
% 32.96/21.55 tff(850,plain,
% 32.96/21.55 (![VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 32.96/21.55 inference(quant_intro,[status(thm)],[849])).
% 32.96/21.55 tff(851,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 32.96/21.55 tff(852,plain,
% 32.96/21.55 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[851, 850])).
% 32.96/21.55 tff(853,plain,
% 32.96/21.55 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[852, 848])).
% 32.96/21.55 tff(854,plain,(
% 32.96/21.55 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 32.96/21.55 inference(skolemize,[status(sab)],[853])).
% 32.96/21.55 tff(855,plain,
% 32.96/21.55 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[854, 847])).
% 32.96/21.55 tff(856,plain,
% 32.96/21.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0))),
% 32.96/21.55 inference(rewrite,[status(thm)],[])).
% 32.96/21.55 tff(857,plain,
% 32.96/21.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0))),
% 32.96/21.55 inference(quant_inst,[status(thm)],[])).
% 32.96/21.55 tff(858,plain,
% 32.96/21.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0)),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[857, 856])).
% 32.96/21.55 tff(859,plain,
% 32.96/21.55 (v26(constB1) | v127(constB1, bitIndex0)),
% 32.96/21.55 inference(unit_resolution,[status(thm)],[858, 855, 845])).
% 32.96/21.55 tff(860,plain,
% 32.96/21.55 (v127(constB1, bitIndex0)),
% 32.96/21.55 inference(unit_resolution,[status(thm)],[859, 365])).
% 32.96/21.55 tff(861,plain,
% 32.96/21.55 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)))),
% 32.96/21.55 inference(bind,[status(th)],[])).
% 32.96/21.55 tff(862,plain,
% 32.96/21.55 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 32.96/21.55 inference(quant_intro,[status(thm)],[861])).
% 32.96/21.55 tff(863,plain,
% 32.96/21.55 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 32.96/21.55 inference(rewrite,[status(thm)],[])).
% 32.96/21.55 tff(864,plain,
% 32.96/21.55 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ((~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> (((~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))))),
% 32.96/21.55 inference(bind,[status(th)],[])).
% 32.96/21.55 tff(865,plain,
% 32.96/21.55 (![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 32.96/21.55 inference(quant_intro,[status(thm)],[864])).
% 32.96/21.55 tff(866,axiom,(![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 32.96/21.55 tff(867,plain,
% 32.96/21.55 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[866, 865])).
% 32.96/21.55 tff(868,plain,
% 32.96/21.55 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[867, 863])).
% 32.96/21.55 tff(869,plain,(
% 32.96/21.55 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 32.96/21.55 inference(skolemize,[status(sab)],[868])).
% 32.96/21.55 tff(870,plain,
% 32.96/21.55 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[869, 862])).
% 32.96/21.55 tff(871,plain,
% 32.96/21.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0))),
% 32.96/21.55 inference(rewrite,[status(thm)],[])).
% 32.96/21.55 tff(872,plain,
% 32.96/21.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0))),
% 32.96/21.55 inference(quant_inst,[status(thm)],[])).
% 32.96/21.55 tff(873,plain,
% 32.96/21.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0)),
% 32.96/21.55 inference(modus_ponens,[status(thm)],[872, 871])).
% 32.96/21.55 tff(874,plain,
% 32.96/21.55 ((~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0)),
% 32.96/21.55 inference(unit_resolution,[status(thm)],[873, 870, 575])).
% 32.96/21.55 tff(875,plain,
% 32.96/21.55 (v129(constB2, bitIndex0)),
% 32.96/21.55 inference(unit_resolution,[status(thm)],[874, 860])).
% 32.96/21.55 tff(876,plain,
% 32.96/21.55 (^[VarNext: $i] : refl((v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))))),
% 32.96/21.55 inference(bind,[status(th)],[])).
% 32.96/21.55 tff(877,plain,
% 32.96/21.55 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 32.96/21.55 inference(quant_intro,[status(thm)],[876])).
% 32.96/21.55 tff(878,plain,
% 32.96/21.55 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 32.96/21.56 inference(rewrite,[status(thm)],[])).
% 32.96/21.56 tff(879,plain,
% 32.96/21.56 (^[VarNext: $i] : trans(monotonicity(rewrite((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> (v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0)))), (((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))))), rewrite(((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))), (((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))))),
% 32.96/21.56 inference(bind,[status(th)],[])).
% 32.96/21.56 tff(880,plain,
% 32.96/21.56 (![VarNext: $i] : ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 32.96/21.56 inference(quant_intro,[status(thm)],[879])).
% 32.96/21.56 tff(881,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_1')).
% 32.96/21.56 tff(882,plain,
% 32.96/21.56 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 32.96/21.56 inference(modus_ponens,[status(thm)],[881, 880])).
% 32.96/21.56 tff(883,plain,
% 32.96/21.56 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 32.96/21.56 inference(modus_ponens,[status(thm)],[882, 878])).
% 32.96/21.56 tff(884,plain,(
% 32.96/21.56 ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 32.96/21.56 inference(skolemize,[status(sab)],[883])).
% 32.96/21.56 tff(885,plain,
% 32.96/21.56 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 32.96/21.56 inference(modus_ponens,[status(thm)],[884, 877])).
% 32.96/21.56 tff(886,plain,
% 32.96/21.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))),
% 32.96/21.56 inference(rewrite,[status(thm)],[])).
% 32.96/21.56 tff(887,plain,
% 32.96/21.56 ((v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0))) <=> (v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))),
% 32.96/21.56 inference(rewrite,[status(thm)],[])).
% 32.96/21.56 tff(888,plain,
% 32.96/21.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2))))),
% 32.96/21.56 inference(monotonicity,[status(thm)],[887])).
% 32.96/21.56 tff(889,plain,
% 32.96/21.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))),
% 32.96/21.56 inference(transitivity,[status(thm)],[888, 886])).
% 32.96/21.56 tff(890,plain,
% 32.96/21.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0)))),
% 32.96/21.56 inference(quant_inst,[status(thm)],[])).
% 32.96/21.56 tff(891,plain,
% 32.96/21.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2))),
% 32.96/21.56 inference(modus_ponens,[status(thm)],[890, 889])).
% 32.96/21.56 tff(892,plain,
% 32.96/21.56 (v90(constB2, bitIndex0) | (~v100(constB2))),
% 32.96/21.56 inference(unit_resolution,[status(thm)],[891, 885, 875])).
% 32.96/21.56 tff(893,plain,
% 32.96/21.56 (v90(constB2, bitIndex0)),
% 32.96/21.56 inference(unit_resolution,[status(thm)],[892, 665])).
% 32.96/21.56 tff(894,plain,
% 32.96/21.56 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)))),
% 32.96/21.56 inference(bind,[status(th)],[])).
% 32.96/21.56 tff(895,plain,
% 32.96/21.56 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 32.96/21.56 inference(quant_intro,[status(thm)],[894])).
% 32.96/21.56 tff(896,plain,
% 32.96/21.56 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 32.96/21.56 inference(rewrite,[status(thm)],[])).
% 32.96/21.56 tff(897,plain,
% 32.96/21.56 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarNext, bitIndex0))), (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarNext, bitIndex0)) | v100(VarNext)))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarNext, bitIndex0)) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))), (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)))), ((((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))), ((((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))))),
% 32.96/21.56 inference(bind,[status(th)],[])).
% 32.96/21.56 tff(898,plain,
% 32.96/21.56 (![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 32.96/21.56 inference(quant_intro,[status(thm)],[897])).
% 32.96/21.56 tff(899,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_1')).
% 32.96/21.56 tff(900,plain,
% 32.96/21.56 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 32.96/21.56 inference(modus_ponens,[status(thm)],[899, 898])).
% 32.96/21.56 tff(901,plain,
% 32.96/21.56 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 32.96/21.56 inference(modus_ponens,[status(thm)],[900, 896])).
% 32.96/21.56 tff(902,plain,(
% 32.96/21.56 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 32.96/21.56 inference(skolemize,[status(sab)],[901])).
% 32.96/21.56 tff(903,plain,
% 32.96/21.56 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 32.96/21.56 inference(modus_ponens,[status(thm)],[902, 895])).
% 32.96/21.56 tff(904,plain,
% 32.96/21.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))),
% 32.96/21.56 inference(rewrite,[status(thm)],[])).
% 32.96/21.56 tff(905,plain,
% 32.96/21.56 (((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0)) <=> ((~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))),
% 32.96/21.56 inference(rewrite,[status(thm)],[])).
% 32.96/21.56 tff(906,plain,
% 32.96/21.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0)))),
% 32.96/21.56 inference(monotonicity,[status(thm)],[905])).
% 32.96/21.56 tff(907,plain,
% 32.96/21.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))),
% 32.96/21.56 inference(transitivity,[status(thm)],[906, 904])).
% 32.96/21.56 tff(908,plain,
% 32.96/21.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0))),
% 32.96/21.56 inference(quant_inst,[status(thm)],[])).
% 32.96/21.56 tff(909,plain,
% 32.96/21.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0)),
% 32.96/21.56 inference(modus_ponens,[status(thm)],[908, 907])).
% 32.96/21.56 tff(910,plain,
% 32.96/21.56 ((~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0)),
% 32.96/21.56 inference(unit_resolution,[status(thm)],[909, 903, 736])).
% 32.96/21.56 tff(911,plain,
% 32.96/21.56 ((~v90(constB2, bitIndex0)) | v90(constB3, bitIndex0)),
% 32.96/21.56 inference(unit_resolution,[status(thm)],[910, 748])).
% 32.96/21.56 tff(912,plain,
% 32.96/21.56 (v90(constB3, bitIndex0)),
% 32.96/21.56 inference(unit_resolution,[status(thm)],[911, 893])).
% 32.96/21.56 tff(913,plain,
% 32.96/21.56 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))),
% 32.96/21.56 inference(bind,[status(th)],[])).
% 32.96/21.56 tff(914,plain,
% 32.96/21.56 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 32.96/21.56 inference(quant_intro,[status(thm)],[913])).
% 32.96/21.56 tff(915,plain,
% 32.96/21.56 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 32.96/21.56 inference(rewrite,[status(thm)],[])).
% 32.96/21.56 tff(916,plain,
% 32.96/21.56 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex2))), ((((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> (((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)))), rewrite((((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 32.96/21.56 inference(bind,[status(th)],[])).
% 32.96/21.56 tff(917,plain,
% 32.96/21.56 (![VarCurr: $i] : (((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 32.96/21.56 inference(quant_intro,[status(thm)],[916])).
% 32.96/21.56 tff(918,axiom,(![VarCurr: $i] : (((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_1')).
% 32.96/21.56 tff(919,plain,
% 32.96/21.56 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 32.96/21.56 inference(modus_ponens,[status(thm)],[918, 917])).
% 32.96/21.56 tff(920,plain,
% 32.96/21.56 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 32.96/21.56 inference(modus_ponens,[status(thm)],[919, 915])).
% 32.96/21.56 tff(921,plain,(
% 32.96/21.56 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 32.96/21.56 inference(skolemize,[status(sab)],[920])).
% 32.96/21.56 tff(922,plain,
% 32.96/21.56 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 32.96/21.56 inference(modus_ponens,[status(thm)],[921, 914])).
% 32.96/21.56 tff(923,plain,
% 32.96/21.56 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))),
% 32.96/21.56 inference(rewrite,[status(thm)],[])).
% 32.96/21.56 tff(924,plain,
% 32.96/21.56 (((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2)) <=> ((~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))),
% 32.96/21.56 inference(rewrite,[status(thm)],[])).
% 32.96/21.56 tff(925,plain,
% 32.96/21.56 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3)))),
% 32.96/21.56 inference(monotonicity,[status(thm)],[924])).
% 32.96/21.56 tff(926,plain,
% 32.96/21.56 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))),
% 32.96/21.56 inference(transitivity,[status(thm)],[925, 923])).
% 32.96/21.56 tff(927,plain,
% 32.96/21.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2))),
% 32.96/21.56 inference(quant_inst,[status(thm)],[])).
% 32.96/21.56 tff(928,plain,
% 32.96/21.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3)),
% 32.96/21.56 inference(modus_ponens,[status(thm)],[927, 926])).
% 32.96/21.56 tff(929,plain,
% 32.96/21.56 (v120(constB3)),
% 32.96/21.56 inference(unit_resolution,[status(thm)],[928, 922, 912, 831, 757])).
% 32.97/21.56 tff(930,plain,
% 32.97/21.56 (^[VarCurr: $i] : refl((v118(VarCurr) | (~v120(VarCurr))) <=> (v118(VarCurr) | (~v120(VarCurr))))),
% 32.97/21.56 inference(bind,[status(th)],[])).
% 32.97/21.56 tff(931,plain,
% 32.97/21.56 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 32.97/21.56 inference(quant_intro,[status(thm)],[930])).
% 32.97/21.56 tff(932,plain,
% 32.97/21.56 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(933,axiom,(![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1')).
% 32.97/21.56 tff(934,plain,
% 32.97/21.56 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[933, 932])).
% 32.97/21.56 tff(935,plain,(
% 32.97/21.56 ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 32.97/21.56 inference(skolemize,[status(sab)],[934])).
% 32.97/21.56 tff(936,plain,
% 32.97/21.56 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[935, 931])).
% 32.97/21.56 tff(937,plain,
% 32.97/21.56 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB3) | (~v120(constB3)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB3) | (~v120(constB3)))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(938,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB3) | (~v120(constB3)))),
% 32.97/21.56 inference(quant_inst,[status(thm)],[])).
% 32.97/21.56 tff(939,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB3) | (~v120(constB3))),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[938, 937])).
% 32.97/21.56 tff(940,plain,
% 32.97/21.56 (v118(constB3)),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[939, 936, 929])).
% 32.97/21.56 tff(941,plain,
% 32.97/21.56 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB3) | (~v118(constB3)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB3) | (~v118(constB3)))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(942,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB3) | (~v118(constB3)))),
% 32.97/21.56 inference(quant_inst,[status(thm)],[])).
% 32.97/21.56 tff(943,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB3) | (~v118(constB3))),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[942, 941])).
% 32.97/21.56 tff(944,plain,
% 32.97/21.56 (v117(constB3)),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[943, 498, 940])).
% 32.97/21.56 tff(945,plain,
% 32.97/21.56 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB3) | (~v117(constB3)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB3) | (~v117(constB3)))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(946,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB3) | (~v117(constB3)))),
% 32.97/21.56 inference(quant_inst,[status(thm)],[])).
% 32.97/21.56 tff(947,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB3) | (~v117(constB3))),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[946, 945])).
% 32.97/21.56 tff(948,plain,
% 32.97/21.56 (v116(constB3)),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[947, 509, 944])).
% 32.97/21.56 tff(949,plain,
% 32.97/21.56 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB3) | (~v116(constB3)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB3) | (~v116(constB3)))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(950,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB3) | (~v116(constB3)))),
% 32.97/21.56 inference(quant_inst,[status(thm)],[])).
% 32.97/21.56 tff(951,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB3) | (~v116(constB3))),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[950, 949])).
% 32.97/21.56 tff(952,plain,
% 32.97/21.56 (v115(constB3)),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[951, 520, 948])).
% 32.97/21.56 tff(953,plain,
% 32.97/21.56 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB3) | (~v115(constB3)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB3) | (~v115(constB3)))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(954,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB3) | (~v115(constB3)))),
% 32.97/21.56 inference(quant_inst,[status(thm)],[])).
% 32.97/21.56 tff(955,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB3) | (~v115(constB3))),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[954, 953])).
% 32.97/21.56 tff(956,plain,
% 32.97/21.56 (v114(constB3)),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[955, 531, 952])).
% 32.97/21.56 tff(957,plain,
% 32.97/21.56 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB3) | (~v114(constB3)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB3) | (~v114(constB3)))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(958,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB3) | (~v114(constB3)))),
% 32.97/21.56 inference(quant_inst,[status(thm)],[])).
% 32.97/21.56 tff(959,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB3) | (~v114(constB3))),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[958, 957])).
% 32.97/21.56 tff(960,plain,
% 32.97/21.56 (v113(constB3)),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[959, 542, 956])).
% 32.97/21.56 tff(961,plain,
% 32.97/21.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | v112(constB3) | (~v113(constB3)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | v112(constB3) | (~v113(constB3)))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(962,plain,
% 32.97/21.56 ((v26(constB3) | (~v113(constB3)) | v112(constB3)) <=> (v26(constB3) | v112(constB3) | (~v113(constB3)))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(963,plain,
% 32.97/21.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | v112(constB3) | (~v113(constB3))))),
% 32.97/21.56 inference(monotonicity,[status(thm)],[962])).
% 32.97/21.56 tff(964,plain,
% 32.97/21.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | v112(constB3) | (~v113(constB3)))),
% 32.97/21.56 inference(transitivity,[status(thm)],[963, 961])).
% 32.97/21.56 tff(965,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 32.97/21.56 inference(quant_inst,[status(thm)],[])).
% 32.97/21.56 tff(966,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | v112(constB3) | (~v113(constB3))),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[965, 964])).
% 32.97/21.56 tff(967,plain,
% 32.97/21.56 (v26(constB3) | v112(constB3)),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[966, 556, 960])).
% 32.97/21.56 tff(968,plain,
% 32.97/21.56 (v112(constB3)),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[967, 361])).
% 32.97/21.56 tff(969,plain,
% 32.97/21.56 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB3) | (~v112(constB3)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB3) | (~v112(constB3)))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(970,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB3) | (~v112(constB3)))),
% 32.97/21.56 inference(quant_inst,[status(thm)],[])).
% 32.97/21.56 tff(971,plain,
% 32.97/21.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB3) | (~v112(constB3))),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[970, 969])).
% 32.97/21.56 tff(972,plain,
% 32.97/21.56 (v108(constB3)),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[971, 568, 968])).
% 32.97/21.56 tff(973,plain,
% 32.97/21.56 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(974,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 32.97/21.56 tff(975,plain,
% 32.97/21.56 (nextState(constB3, constB4)),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[974, 973])).
% 32.97/21.56 tff(976,plain,
% 32.97/21.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(977,plain,
% 32.97/21.56 (((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4)) <=> ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(978,plain,
% 32.97/21.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))))),
% 32.97/21.56 inference(monotonicity,[status(thm)],[977])).
% 32.97/21.56 tff(979,plain,
% 32.97/21.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 32.97/21.56 inference(transitivity,[status(thm)],[978, 976])).
% 32.97/21.56 tff(980,plain,
% 32.97/21.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))),
% 32.97/21.56 inference(quant_inst,[status(thm)],[])).
% 32.97/21.56 tff(981,plain,
% 32.97/21.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[980, 979])).
% 32.97/21.56 tff(982,plain,
% 32.97/21.56 (v110(constB4) | (~v108(constB3))),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[981, 585, 975])).
% 32.97/21.56 tff(983,plain,
% 32.97/21.56 (v110(constB4)),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[982, 972])).
% 32.97/21.56 tff(984,plain,
% 32.97/21.56 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(985,plain,
% 32.97/21.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 32.97/21.56 inference(quant_inst,[status(thm)],[])).
% 32.97/21.56 tff(986,plain,
% 32.97/21.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4))),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[985, 984])).
% 32.97/21.56 tff(987,plain,
% 32.97/21.56 (~v104(constB4)),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[986, 603, 975, 733])).
% 32.97/21.56 tff(988,plain,
% 32.97/21.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(989,plain,
% 32.97/21.56 (((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4)) <=> ((~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(990,plain,
% 32.97/21.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | v102(constB4)))),
% 32.97/21.56 inference(monotonicity,[status(thm)],[989])).
% 32.97/21.56 tff(991,plain,
% 32.97/21.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))),
% 32.97/21.56 inference(transitivity,[status(thm)],[990, 988])).
% 32.97/21.56 tff(992,plain,
% 32.97/21.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 32.97/21.56 inference(quant_inst,[status(thm)],[])).
% 32.97/21.56 tff(993,plain,
% 32.97/21.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | v102(constB4)),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[992, 991])).
% 32.97/21.56 tff(994,plain,
% 32.97/21.56 (v104(constB4) | v102(constB4)),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[993, 617, 975])).
% 32.97/21.56 tff(995,plain,
% 32.97/21.56 (v102(constB4)),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[994, 987])).
% 32.97/21.56 tff(996,plain,
% 32.97/21.56 (v1(constB4) <=> v1(constB4)),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(997,axiom,(v1(constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 32.97/21.56 tff(998,plain,
% 32.97/21.56 (v1(constB4)),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[997, 996])).
% 32.97/21.56 tff(999,plain,
% 32.97/21.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(1000,plain,
% 32.97/21.56 (((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4))) <=> ((~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))),
% 32.97/21.56 inference(rewrite,[status(thm)],[])).
% 32.97/21.56 tff(1001,plain,
% 32.97/21.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4))))),
% 32.97/21.56 inference(monotonicity,[status(thm)],[1000])).
% 32.97/21.56 tff(1002,plain,
% 32.97/21.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))),
% 32.97/21.56 inference(transitivity,[status(thm)],[1001, 999])).
% 32.97/21.56 tff(1003,plain,
% 32.97/21.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 32.97/21.56 inference(quant_inst,[status(thm)],[])).
% 32.97/21.56 tff(1004,plain,
% 32.97/21.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4))),
% 32.97/21.56 inference(modus_ponens,[status(thm)],[1003, 1002])).
% 32.97/21.56 tff(1005,plain,
% 32.97/21.56 (v101(constB4) | (~v102(constB4))),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[1004, 638, 975, 998])).
% 32.97/21.56 tff(1006,plain,
% 32.97/21.56 (v101(constB4)),
% 32.97/21.56 inference(unit_resolution,[status(thm)],[1005, 995])).
% 32.97/21.56 tff(1007,plain,
% 32.97/21.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1008,plain,
% 32.97/21.57 (((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4)) <=> ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1009,plain,
% 32.97/21.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))))),
% 32.97/21.57 inference(monotonicity,[status(thm)],[1008])).
% 32.97/21.57 tff(1010,plain,
% 32.97/21.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 32.97/21.57 inference(transitivity,[status(thm)],[1009, 1007])).
% 32.97/21.57 tff(1011,plain,
% 32.97/21.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))),
% 32.97/21.57 inference(quant_inst,[status(thm)],[])).
% 32.97/21.57 tff(1012,plain,
% 32.97/21.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1011, 1010])).
% 32.97/21.57 tff(1013,plain,
% 32.97/21.57 (v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1012, 656, 975])).
% 32.97/21.57 tff(1014,plain,
% 32.97/21.57 (v100(constB4) | (~v110(constB4))),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1013, 1006])).
% 32.97/21.57 tff(1015,plain,
% 32.97/21.57 (v100(constB4)),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1014, 983])).
% 32.97/21.57 tff(1016,plain,
% 32.97/21.57 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 32.97/21.57 inference(bind,[status(th)],[])).
% 32.97/21.57 tff(1017,plain,
% 32.97/21.57 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.97/21.57 inference(quant_intro,[status(thm)],[1016])).
% 32.97/21.57 tff(1018,plain,
% 32.97/21.57 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1019,plain,
% 32.97/21.57 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 32.97/21.57 inference(bind,[status(th)],[])).
% 32.97/21.57 tff(1020,plain,
% 32.97/21.57 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.97/21.57 inference(quant_intro,[status(thm)],[1019])).
% 32.97/21.57 tff(1021,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_3')).
% 32.97/21.57 tff(1022,plain,
% 32.97/21.57 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1021, 1020])).
% 32.97/21.57 tff(1023,plain,
% 32.97/21.57 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1022, 1018])).
% 32.97/21.57 tff(1024,plain,(
% 32.97/21.57 ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.97/21.57 inference(skolemize,[status(sab)],[1023])).
% 32.97/21.57 tff(1025,plain,
% 32.97/21.57 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1024, 1017])).
% 32.97/21.57 tff(1026,plain,
% 32.97/21.57 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB3)) | (~v130(constB3, bitIndex2)))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1027,plain,
% 32.97/21.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex2)))),
% 32.97/21.57 inference(quant_inst,[status(thm)],[])).
% 32.97/21.57 tff(1028,plain,
% 32.97/21.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB3)) | (~v130(constB3, bitIndex2))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1027, 1026])).
% 32.97/21.57 tff(1029,plain,
% 32.97/21.57 (~v130(constB3, bitIndex2)),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1028, 1025, 929])).
% 32.97/21.57 tff(1030,plain,
% 32.97/21.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1031,plain,
% 32.97/21.57 ((v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2))) <=> ((~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1032,plain,
% 32.97/21.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2)))),
% 32.97/21.57 inference(monotonicity,[status(thm)],[1031])).
% 32.97/21.57 tff(1033,plain,
% 32.97/21.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))),
% 32.97/21.57 inference(transitivity,[status(thm)],[1032, 1030])).
% 32.97/21.57 tff(1034,plain,
% 32.97/21.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2)))),
% 32.97/21.57 inference(quant_inst,[status(thm)],[])).
% 32.97/21.57 tff(1035,plain,
% 32.97/21.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2)),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1034, 1033])).
% 32.97/21.57 tff(1036,plain,
% 32.97/21.57 ((~v127(constB3, bitIndex2)) | v26(constB3)),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1035, 689, 1029])).
% 32.97/21.57 tff(1037,plain,
% 32.97/21.57 (~v127(constB3, bitIndex2)),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1036, 361])).
% 32.97/21.57 tff(1038,plain,
% 32.97/21.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2)))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1039,plain,
% 32.97/21.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2)))),
% 32.97/21.57 inference(quant_inst,[status(thm)],[])).
% 32.97/21.57 tff(1040,plain,
% 32.97/21.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1039, 1038])).
% 32.97/21.57 tff(1041,plain,
% 32.97/21.57 (v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2))),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1040, 707, 975])).
% 32.97/21.57 tff(1042,plain,
% 32.97/21.57 (~v129(constB4, bitIndex2)),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1041, 1037])).
% 32.97/21.57 tff(1043,plain,
% 32.97/21.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1044,plain,
% 32.97/21.57 (((~v90(constB4, bitIndex2)) | (~v100(constB4)) | v129(constB4, bitIndex2)) <=> ((~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1045,plain,
% 32.97/21.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~v100(constB4)) | v129(constB4, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4))))),
% 32.97/21.57 inference(monotonicity,[status(thm)],[1044])).
% 32.97/21.57 tff(1046,plain,
% 32.97/21.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~v100(constB4)) | v129(constB4, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))),
% 32.97/21.57 inference(transitivity,[status(thm)],[1045, 1043])).
% 32.97/21.57 tff(1047,plain,
% 32.97/21.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~v100(constB4)) | v129(constB4, bitIndex2))),
% 32.97/21.57 inference(quant_inst,[status(thm)],[])).
% 32.97/21.57 tff(1048,plain,
% 32.97/21.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1047, 1046])).
% 32.97/21.57 tff(1049,plain,
% 32.97/21.57 ((~v90(constB4, bitIndex2)) | (~v100(constB4))),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1048, 722, 1042])).
% 32.97/21.57 tff(1050,plain,
% 32.97/21.57 (~v90(constB4, bitIndex2)),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1049, 1015])).
% 32.97/21.57 tff(1051,plain,
% 32.97/21.57 ((~v1(constB5)) <=> (~v1(constB5))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1052,axiom,(~v1(constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 32.97/21.57 tff(1053,plain,
% 32.97/21.57 (~v1(constB5)),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1052, 1051])).
% 32.97/21.57 tff(1054,plain,
% 32.97/21.57 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1055,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 32.97/21.57 tff(1056,plain,
% 32.97/21.57 (nextState(constB4, constB5)),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1055, 1054])).
% 32.97/21.57 tff(1057,plain,
% 32.97/21.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1058,plain,
% 32.97/21.57 (((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1059,plain,
% 32.97/21.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))))),
% 32.97/21.57 inference(monotonicity,[status(thm)],[1058])).
% 32.97/21.57 tff(1060,plain,
% 32.97/21.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 32.97/21.57 inference(transitivity,[status(thm)],[1059, 1057])).
% 32.97/21.57 tff(1061,plain,
% 32.97/21.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))),
% 32.97/21.57 inference(quant_inst,[status(thm)],[])).
% 32.97/21.57 tff(1062,plain,
% 32.97/21.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1061, 1060])).
% 32.97/21.57 tff(1063,plain,
% 32.97/21.57 (~v101(constB5)),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1062, 381, 1056, 1053])).
% 32.97/21.57 tff(1064,plain,
% 32.97/21.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1065,plain,
% 32.97/21.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 32.97/21.57 inference(quant_inst,[status(thm)],[])).
% 32.97/21.57 tff(1066,plain,
% 32.97/21.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1065, 1064])).
% 32.97/21.57 tff(1067,plain,
% 32.97/21.57 (v101(constB5) | (~v100(constB5))),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1066, 398, 1056])).
% 32.97/21.57 tff(1068,plain,
% 32.97/21.57 (~v100(constB5)),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1067, 1063])).
% 32.97/21.57 tff(1069,plain,
% 32.97/21.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1070,plain,
% 32.97/21.57 (((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2))) <=> (v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1071,plain,
% 32.97/21.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2))))),
% 32.97/21.57 inference(monotonicity,[status(thm)],[1070])).
% 32.97/21.57 tff(1072,plain,
% 32.97/21.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 32.97/21.57 inference(transitivity,[status(thm)],[1071, 1069])).
% 32.97/21.57 tff(1073,plain,
% 32.97/21.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 32.97/21.57 inference(quant_inst,[status(thm)],[])).
% 32.97/21.57 tff(1074,plain,
% 32.97/21.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1073, 1072])).
% 32.97/21.57 tff(1075,plain,
% 32.97/21.57 (v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2))),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1074, 413, 1056])).
% 32.97/21.57 tff(1076,plain,
% 32.97/21.57 (v90(constB4, bitIndex2) | (~v90(constB5, bitIndex2))),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1075, 1068])).
% 32.97/21.57 tff(1077,plain,
% 32.97/21.57 (~v90(constB5, bitIndex2)),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1076, 1050])).
% 32.97/21.57 tff(1078,plain,
% 32.97/21.57 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 32.97/21.57 inference(bind,[status(th)],[])).
% 32.97/21.57 tff(1079,plain,
% 32.97/21.57 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 32.97/21.57 inference(quant_intro,[status(thm)],[1078])).
% 32.97/21.57 tff(1080,plain,
% 32.97/21.57 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1081,plain,
% 32.97/21.57 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 32.97/21.57 inference(bind,[status(th)],[])).
% 32.97/21.57 tff(1082,plain,
% 32.97/21.57 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 32.97/21.57 inference(quant_intro,[status(thm)],[1081])).
% 32.97/21.57 tff(1083,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_2')).
% 32.97/21.57 tff(1084,plain,
% 32.97/21.57 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1083, 1082])).
% 32.97/21.57 tff(1085,plain,
% 32.97/21.57 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1084, 1080])).
% 32.97/21.57 tff(1086,plain,(
% 32.97/21.57 ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 32.97/21.57 inference(skolemize,[status(sab)],[1085])).
% 32.97/21.57 tff(1087,plain,
% 32.97/21.57 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1086, 1079])).
% 32.97/21.57 tff(1088,plain,
% 32.97/21.57 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB3)) | v130(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB3)) | v130(constB3, bitIndex1))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1089,plain,
% 32.97/21.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB3)) | v130(constB3, bitIndex1))),
% 32.97/21.57 inference(quant_inst,[status(thm)],[])).
% 32.97/21.57 tff(1090,plain,
% 32.97/21.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB3)) | v130(constB3, bitIndex1)),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1089, 1088])).
% 32.97/21.57 tff(1091,plain,
% 32.97/21.57 (v130(constB3, bitIndex1)),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1090, 1087, 929])).
% 32.97/21.57 tff(1092,plain,
% 32.97/21.57 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)))),
% 32.97/21.57 inference(bind,[status(th)],[])).
% 32.97/21.57 tff(1093,plain,
% 32.97/21.57 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 32.97/21.57 inference(quant_intro,[status(thm)],[1092])).
% 32.97/21.57 tff(1094,plain,
% 32.97/21.57 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1095,plain,
% 32.97/21.57 (^[VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) <=> ((~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))), (((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (((~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) | v26(VarCurr)))), rewrite((((~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))), (((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))))),
% 32.97/21.57 inference(bind,[status(th)],[])).
% 32.97/21.57 tff(1096,plain,
% 32.97/21.57 (![VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 32.97/21.57 inference(quant_intro,[status(thm)],[1095])).
% 32.97/21.57 tff(1097,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 32.97/21.57 tff(1098,plain,
% 32.97/21.57 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1097, 1096])).
% 32.97/21.57 tff(1099,plain,
% 32.97/21.57 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1098, 1094])).
% 32.97/21.57 tff(1100,plain,(
% 32.97/21.57 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 32.97/21.57 inference(skolemize,[status(sab)],[1099])).
% 32.97/21.57 tff(1101,plain,
% 32.97/21.57 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1100, 1093])).
% 32.97/21.57 tff(1102,plain,
% 32.97/21.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1103,plain,
% 32.97/21.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 32.97/21.57 inference(quant_inst,[status(thm)],[])).
% 32.97/21.57 tff(1104,plain,
% 32.97/21.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1)),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1103, 1102])).
% 32.97/21.57 tff(1105,plain,
% 32.97/21.57 (v26(constB3) | v127(constB3, bitIndex1)),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1104, 1101, 1091])).
% 32.97/21.57 tff(1106,plain,
% 32.97/21.57 (v127(constB3, bitIndex1)),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1105, 361])).
% 32.97/21.57 tff(1107,plain,
% 32.97/21.57 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)))),
% 32.97/21.57 inference(bind,[status(th)],[])).
% 32.97/21.57 tff(1108,plain,
% 32.97/21.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 32.97/21.57 inference(quant_intro,[status(thm)],[1107])).
% 32.97/21.57 tff(1109,plain,
% 32.97/21.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1110,plain,
% 32.97/21.57 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ((~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> (((~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))))),
% 32.97/21.57 inference(bind,[status(th)],[])).
% 32.97/21.57 tff(1111,plain,
% 32.97/21.57 (![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 32.97/21.57 inference(quant_intro,[status(thm)],[1110])).
% 32.97/21.57 tff(1112,axiom,(![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 32.97/21.57 tff(1113,plain,
% 32.97/21.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1112, 1111])).
% 32.97/21.57 tff(1114,plain,
% 32.97/21.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1113, 1109])).
% 32.97/21.57 tff(1115,plain,(
% 32.97/21.57 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 32.97/21.57 inference(skolemize,[status(sab)],[1114])).
% 32.97/21.57 tff(1116,plain,
% 32.97/21.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1115, 1108])).
% 32.97/21.57 tff(1117,plain,
% 32.97/21.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1118,plain,
% 32.97/21.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 32.97/21.57 inference(quant_inst,[status(thm)],[])).
% 32.97/21.57 tff(1119,plain,
% 32.97/21.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1118, 1117])).
% 32.97/21.57 tff(1120,plain,
% 32.97/21.57 ((~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1119, 1116, 975])).
% 32.97/21.57 tff(1121,plain,
% 32.97/21.57 (v129(constB4, bitIndex1)),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1120, 1106])).
% 32.97/21.57 tff(1122,plain,
% 32.97/21.57 (^[VarNext: $i] : refl((v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))))),
% 32.97/21.57 inference(bind,[status(th)],[])).
% 32.97/21.57 tff(1123,plain,
% 32.97/21.57 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 32.97/21.57 inference(quant_intro,[status(thm)],[1122])).
% 32.97/21.57 tff(1124,plain,
% 32.97/21.57 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1125,plain,
% 32.97/21.57 (^[VarNext: $i] : trans(monotonicity(rewrite((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> (v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1)))), (((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))))), rewrite(((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))), (((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))))),
% 32.97/21.57 inference(bind,[status(th)],[])).
% 32.97/21.57 tff(1126,plain,
% 32.97/21.57 (![VarNext: $i] : ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 32.97/21.57 inference(quant_intro,[status(thm)],[1125])).
% 32.97/21.57 tff(1127,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_3')).
% 32.97/21.57 tff(1128,plain,
% 32.97/21.57 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 32.97/21.57 tff(1129,plain,
% 32.97/21.57 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1128, 1124])).
% 32.97/21.57 tff(1130,plain,(
% 32.97/21.57 ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 32.97/21.57 inference(skolemize,[status(sab)],[1129])).
% 32.97/21.57 tff(1131,plain,
% 32.97/21.57 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1130, 1123])).
% 32.97/21.57 tff(1132,plain,
% 32.97/21.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1133,plain,
% 32.97/21.57 ((v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1))) <=> (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 32.97/21.57 inference(rewrite,[status(thm)],[])).
% 32.97/21.57 tff(1134,plain,
% 32.97/21.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))))),
% 32.97/21.57 inference(monotonicity,[status(thm)],[1133])).
% 32.97/21.57 tff(1135,plain,
% 32.97/21.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 32.97/21.57 inference(transitivity,[status(thm)],[1134, 1132])).
% 32.97/21.57 tff(1136,plain,
% 32.97/21.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))),
% 32.97/21.57 inference(quant_inst,[status(thm)],[])).
% 32.97/21.57 tff(1137,plain,
% 32.97/21.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))),
% 32.97/21.57 inference(modus_ponens,[status(thm)],[1136, 1135])).
% 32.97/21.57 tff(1138,plain,
% 32.97/21.57 (v90(constB4, bitIndex1) | (~v100(constB4))),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1137, 1131, 1121])).
% 32.97/21.57 tff(1139,plain,
% 32.97/21.57 (v90(constB4, bitIndex1)),
% 32.97/21.57 inference(unit_resolution,[status(thm)],[1138, 1015])).
% 32.97/21.58 tff(1140,plain,
% 32.97/21.58 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)))),
% 32.97/21.58 inference(bind,[status(th)],[])).
% 32.97/21.58 tff(1141,plain,
% 32.97/21.58 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 32.97/21.58 inference(quant_intro,[status(thm)],[1140])).
% 32.97/21.58 tff(1142,plain,
% 32.97/21.58 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1143,plain,
% 32.97/21.58 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex1)) | v90(VarNext, bitIndex1))), (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) <=> (((~v90(VarCurr, bitIndex1)) | v90(VarNext, bitIndex1)) | v100(VarNext)))), rewrite((((~v90(VarCurr, bitIndex1)) | v90(VarNext, bitIndex1)) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))), (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)))), ((((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))), ((((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))))),
% 32.97/21.58 inference(bind,[status(th)],[])).
% 32.97/21.58 tff(1144,plain,
% 32.97/21.58 (![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 32.97/21.58 inference(quant_intro,[status(thm)],[1143])).
% 32.97/21.58 tff(1145,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_3')).
% 32.97/21.58 tff(1146,plain,
% 32.97/21.58 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1145, 1144])).
% 32.97/21.58 tff(1147,plain,
% 32.97/21.58 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1146, 1142])).
% 32.97/21.58 tff(1148,plain,(
% 32.97/21.58 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 32.97/21.58 inference(skolemize,[status(sab)],[1147])).
% 32.97/21.58 tff(1149,plain,
% 32.97/21.58 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1148, 1141])).
% 32.97/21.58 tff(1150,plain,
% 32.97/21.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1151,plain,
% 32.97/21.58 (((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)) <=> ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1152,plain,
% 32.97/21.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1)))),
% 32.97/21.58 inference(monotonicity,[status(thm)],[1151])).
% 32.97/21.58 tff(1153,plain,
% 32.97/21.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 32.97/21.58 inference(transitivity,[status(thm)],[1152, 1150])).
% 32.97/21.58 tff(1154,plain,
% 32.97/21.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))),
% 32.97/21.58 inference(quant_inst,[status(thm)],[])).
% 32.97/21.58 tff(1155,plain,
% 32.97/21.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1)),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1154, 1153])).
% 32.97/21.58 tff(1156,plain,
% 32.97/21.58 ((~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1155, 1149, 1056])).
% 32.97/21.58 tff(1157,plain,
% 32.97/21.58 ((~v90(constB4, bitIndex1)) | v90(constB5, bitIndex1)),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1156, 1068])).
% 32.97/21.58 tff(1158,plain,
% 32.97/21.58 (v90(constB5, bitIndex1)),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1157, 1139])).
% 32.97/21.58 tff(1159,plain,
% 32.97/21.58 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 32.97/21.58 inference(bind,[status(th)],[])).
% 32.97/21.58 tff(1160,plain,
% 32.97/21.58 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 32.97/21.58 inference(quant_intro,[status(thm)],[1159])).
% 32.97/21.58 tff(1161,plain,
% 32.97/21.58 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1162,plain,
% 32.97/21.58 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 32.97/21.58 inference(bind,[status(th)],[])).
% 32.97/21.58 tff(1163,plain,
% 32.97/21.58 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 32.97/21.58 inference(quant_intro,[status(thm)],[1162])).
% 32.97/21.58 tff(1164,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_1')).
% 32.97/21.58 tff(1165,plain,
% 32.97/21.58 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1164, 1163])).
% 32.97/21.58 tff(1166,plain,
% 32.97/21.58 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1165, 1161])).
% 32.97/21.58 tff(1167,plain,(
% 32.97/21.58 ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 32.97/21.58 inference(skolemize,[status(sab)],[1166])).
% 32.97/21.58 tff(1168,plain,
% 32.97/21.58 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1167, 1160])).
% 32.97/21.58 tff(1169,plain,
% 32.97/21.58 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB3)) | (~v130(constB3, bitIndex0)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1170,plain,
% 32.97/21.58 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex0)))),
% 32.97/21.58 inference(quant_inst,[status(thm)],[])).
% 32.97/21.58 tff(1171,plain,
% 32.97/21.58 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB3)) | (~v130(constB3, bitIndex0))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 32.97/21.58 tff(1172,plain,
% 32.97/21.58 (~v130(constB3, bitIndex0)),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1171, 1168, 929])).
% 32.97/21.58 tff(1173,plain,
% 32.97/21.58 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))))),
% 32.97/21.58 inference(bind,[status(th)],[])).
% 32.97/21.58 tff(1174,plain,
% 32.97/21.58 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 32.97/21.58 inference(quant_intro,[status(thm)],[1173])).
% 32.97/21.58 tff(1175,plain,
% 32.97/21.58 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1176,plain,
% 32.97/21.58 (^[VarCurr: $i] : trans(monotonicity(rewrite((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> (v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))), (((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)))), rewrite(((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))), (((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))))),
% 32.97/21.58 inference(bind,[status(th)],[])).
% 32.97/21.58 tff(1177,plain,
% 32.97/21.58 (![VarCurr: $i] : ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 32.97/21.58 inference(quant_intro,[status(thm)],[1176])).
% 32.97/21.58 tff(1178,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 32.97/21.58 tff(1179,plain,
% 32.97/21.58 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 32.97/21.58 tff(1180,plain,
% 32.97/21.58 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1179, 1175])).
% 32.97/21.58 tff(1181,plain,(
% 32.97/21.58 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 32.97/21.58 inference(skolemize,[status(sab)],[1180])).
% 32.97/21.58 tff(1182,plain,
% 32.97/21.58 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1181, 1174])).
% 32.97/21.58 tff(1183,plain,
% 32.97/21.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1184,plain,
% 32.97/21.58 ((v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0))) <=> ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1185,plain,
% 32.97/21.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)))),
% 32.97/21.58 inference(monotonicity,[status(thm)],[1184])).
% 32.97/21.58 tff(1186,plain,
% 32.97/21.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 32.97/21.58 inference(transitivity,[status(thm)],[1185, 1183])).
% 32.97/21.58 tff(1187,plain,
% 32.97/21.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))),
% 32.97/21.58 inference(quant_inst,[status(thm)],[])).
% 32.97/21.58 tff(1188,plain,
% 32.97/21.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1187, 1186])).
% 32.97/21.58 tff(1189,plain,
% 32.97/21.58 ((~v127(constB3, bitIndex0)) | v26(constB3)),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1188, 1182, 1172])).
% 32.97/21.58 tff(1190,plain,
% 32.97/21.58 (~v127(constB3, bitIndex0)),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1189, 361])).
% 32.97/21.58 tff(1191,plain,
% 32.97/21.58 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))))),
% 32.97/21.58 inference(bind,[status(th)],[])).
% 32.97/21.58 tff(1192,plain,
% 32.97/21.58 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 32.97/21.58 inference(quant_intro,[status(thm)],[1191])).
% 32.97/21.58 tff(1193,plain,
% 32.97/21.58 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1194,plain,
% 32.97/21.58 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> (v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))), (((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))))), rewrite(((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))), (((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))))),
% 32.97/21.58 inference(bind,[status(th)],[])).
% 32.97/21.58 tff(1195,plain,
% 32.97/21.58 (![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 32.97/21.58 inference(quant_intro,[status(thm)],[1194])).
% 32.97/21.58 tff(1196,axiom,(![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 32.97/21.58 tff(1197,plain,
% 32.97/21.58 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1196, 1195])).
% 32.97/21.58 tff(1198,plain,
% 32.97/21.58 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1197, 1193])).
% 32.97/21.58 tff(1199,plain,(
% 32.97/21.58 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 32.97/21.58 inference(skolemize,[status(sab)],[1198])).
% 32.97/21.58 tff(1200,plain,
% 32.97/21.58 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1199, 1192])).
% 32.97/21.58 tff(1201,plain,
% 32.97/21.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1202,plain,
% 32.97/21.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 32.97/21.58 inference(quant_inst,[status(thm)],[])).
% 32.97/21.58 tff(1203,plain,
% 32.97/21.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1202, 1201])).
% 32.97/21.58 tff(1204,plain,
% 32.97/21.58 (v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1203, 1200, 975])).
% 32.97/21.58 tff(1205,plain,
% 32.97/21.58 (~v129(constB4, bitIndex0)),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1204, 1190])).
% 32.97/21.58 tff(1206,plain,
% 32.97/21.58 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)))),
% 32.97/21.58 inference(bind,[status(th)],[])).
% 32.97/21.58 tff(1207,plain,
% 32.97/21.58 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 32.97/21.58 inference(quant_intro,[status(thm)],[1206])).
% 32.97/21.58 tff(1208,plain,
% 32.97/21.58 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1209,plain,
% 32.97/21.58 (^[VarNext: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) <=> ((~v90(VarNext, bitIndex0)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext))) <=> (((~v90(VarNext, bitIndex0)) | v129(VarNext, bitIndex0)) | (~v100(VarNext))))), rewrite((((~v90(VarNext, bitIndex0)) | v129(VarNext, bitIndex0)) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))))),
% 32.97/21.58 inference(bind,[status(th)],[])).
% 32.97/21.58 tff(1210,plain,
% 32.97/21.58 (![VarNext: $i] : ((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 32.97/21.58 inference(quant_intro,[status(thm)],[1209])).
% 32.97/21.58 tff(1211,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_2')).
% 32.97/21.58 tff(1212,plain,
% 32.97/21.58 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1211, 1210])).
% 32.97/21.58 tff(1213,plain,
% 32.97/21.58 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1212, 1208])).
% 32.97/21.58 tff(1214,plain,(
% 32.97/21.58 ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 32.97/21.58 inference(skolemize,[status(sab)],[1213])).
% 32.97/21.58 tff(1215,plain,
% 32.97/21.58 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1214, 1207])).
% 32.97/21.58 tff(1216,plain,
% 32.97/21.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1217,plain,
% 32.97/21.58 (((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0)) <=> ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1218,plain,
% 32.97/21.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))))),
% 32.97/21.58 inference(monotonicity,[status(thm)],[1217])).
% 32.97/21.58 tff(1219,plain,
% 32.97/21.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 32.97/21.58 inference(transitivity,[status(thm)],[1218, 1216])).
% 32.97/21.58 tff(1220,plain,
% 32.97/21.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))),
% 32.97/21.58 inference(quant_inst,[status(thm)],[])).
% 32.97/21.58 tff(1221,plain,
% 32.97/21.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 32.97/21.58 tff(1222,plain,
% 32.97/21.58 ((~v90(constB4, bitIndex0)) | (~v100(constB4))),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1221, 1215, 1205])).
% 32.97/21.58 tff(1223,plain,
% 32.97/21.58 (~v90(constB4, bitIndex0)),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1222, 1015])).
% 32.97/21.58 tff(1224,plain,
% 32.97/21.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1225,plain,
% 32.97/21.58 (((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))) <=> (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1226,plain,
% 32.97/21.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0))))),
% 32.97/21.58 inference(monotonicity,[status(thm)],[1225])).
% 32.97/21.58 tff(1227,plain,
% 32.97/21.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 32.97/21.58 inference(transitivity,[status(thm)],[1226, 1224])).
% 32.97/21.58 tff(1228,plain,
% 32.97/21.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 32.97/21.58 inference(quant_inst,[status(thm)],[])).
% 32.97/21.58 tff(1229,plain,
% 32.97/21.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1228, 1227])).
% 32.97/21.58 tff(1230,plain,
% 32.97/21.58 (v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1229, 455, 1056])).
% 32.97/21.58 tff(1231,plain,
% 32.97/21.58 (v90(constB4, bitIndex0) | (~v90(constB5, bitIndex0))),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1230, 1068])).
% 32.97/21.58 tff(1232,plain,
% 32.97/21.58 (~v90(constB5, bitIndex0)),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1231, 1223])).
% 32.97/21.58 tff(1233,plain,
% 32.97/21.58 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)))),
% 32.97/21.58 inference(bind,[status(th)],[])).
% 32.97/21.58 tff(1234,plain,
% 32.97/21.58 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 32.97/21.58 inference(quant_intro,[status(thm)],[1233])).
% 32.97/21.58 tff(1235,plain,
% 32.97/21.58 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1236,plain,
% 32.97/21.58 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))), ((((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> (((~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) | v90(VarCurr, bitIndex0)))), rewrite((((~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))), ((((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))))),
% 32.97/21.58 inference(bind,[status(th)],[])).
% 32.97/21.58 tff(1237,plain,
% 32.97/21.58 (![VarCurr: $i] : (((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 32.97/21.58 inference(quant_intro,[status(thm)],[1236])).
% 32.97/21.58 tff(1238,axiom,(![VarCurr: $i] : (((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 32.97/21.58 tff(1239,plain,
% 32.97/21.58 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1238, 1237])).
% 32.97/21.58 tff(1240,plain,
% 32.97/21.58 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1239, 1235])).
% 32.97/21.58 tff(1241,plain,(
% 32.97/21.58 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 32.97/21.58 inference(skolemize,[status(sab)],[1240])).
% 32.97/21.58 tff(1242,plain,
% 32.97/21.58 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1241, 1234])).
% 32.97/21.58 tff(1243,plain,
% 32.97/21.58 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1244,plain,
% 32.97/21.58 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5))),
% 32.97/21.58 inference(quant_inst,[status(thm)],[])).
% 32.97/21.58 tff(1245,plain,
% 32.97/21.58 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5)),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1244, 1243])).
% 32.97/21.58 tff(1246,plain,
% 32.97/21.58 (v121(constB5)),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1245, 1242, 1232, 1158, 1077])).
% 32.97/21.58 tff(1247,plain,
% 32.97/21.58 (^[VarCurr: $i] : refl((v117(VarCurr) | (~v121(VarCurr))) <=> (v117(VarCurr) | (~v121(VarCurr))))),
% 32.97/21.58 inference(bind,[status(th)],[])).
% 32.97/21.58 tff(1248,plain,
% 32.97/21.58 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 32.97/21.58 inference(quant_intro,[status(thm)],[1247])).
% 32.97/21.58 tff(1249,plain,
% 32.97/21.58 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1250,axiom,(![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 32.97/21.58 tff(1251,plain,
% 32.97/21.58 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 32.97/21.58 tff(1252,plain,(
% 32.97/21.58 ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 32.97/21.58 inference(skolemize,[status(sab)],[1251])).
% 32.97/21.58 tff(1253,plain,
% 32.97/21.58 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1252, 1248])).
% 32.97/21.58 tff(1254,plain,
% 32.97/21.58 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB5) | (~v121(constB5)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB5) | (~v121(constB5)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1255,plain,
% 32.97/21.58 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB5) | (~v121(constB5)))),
% 32.97/21.58 inference(quant_inst,[status(thm)],[])).
% 32.97/21.58 tff(1256,plain,
% 32.97/21.58 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB5) | (~v121(constB5))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 32.97/21.58 tff(1257,plain,
% 32.97/21.58 (v117(constB5)),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1256, 1253, 1246])).
% 32.97/21.58 tff(1258,plain,
% 32.97/21.58 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB5) | (~v117(constB5)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB5) | (~v117(constB5)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1259,plain,
% 32.97/21.58 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB5) | (~v117(constB5)))),
% 32.97/21.58 inference(quant_inst,[status(thm)],[])).
% 32.97/21.58 tff(1260,plain,
% 32.97/21.58 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB5) | (~v117(constB5))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1259, 1258])).
% 32.97/21.58 tff(1261,plain,
% 32.97/21.58 (v116(constB5)),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1260, 509, 1257])).
% 32.97/21.58 tff(1262,plain,
% 32.97/21.58 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB5) | (~v116(constB5)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB5) | (~v116(constB5)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1263,plain,
% 32.97/21.58 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB5) | (~v116(constB5)))),
% 32.97/21.58 inference(quant_inst,[status(thm)],[])).
% 32.97/21.58 tff(1264,plain,
% 32.97/21.58 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB5) | (~v116(constB5))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1263, 1262])).
% 32.97/21.58 tff(1265,plain,
% 32.97/21.58 (v115(constB5)),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1264, 520, 1261])).
% 32.97/21.58 tff(1266,plain,
% 32.97/21.58 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB5) | (~v115(constB5)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB5) | (~v115(constB5)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1267,plain,
% 32.97/21.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB5) | (~v115(constB5)))),
% 32.97/21.58 inference(quant_inst,[status(thm)],[])).
% 32.97/21.58 tff(1268,plain,
% 32.97/21.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB5) | (~v115(constB5))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1267, 1266])).
% 32.97/21.58 tff(1269,plain,
% 32.97/21.58 (v114(constB5)),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1268, 531, 1265])).
% 32.97/21.58 tff(1270,plain,
% 32.97/21.58 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB5) | (~v114(constB5)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB5) | (~v114(constB5)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1271,plain,
% 32.97/21.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB5) | (~v114(constB5)))),
% 32.97/21.58 inference(quant_inst,[status(thm)],[])).
% 32.97/21.58 tff(1272,plain,
% 32.97/21.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB5) | (~v114(constB5))),
% 32.97/21.58 inference(modus_ponens,[status(thm)],[1271, 1270])).
% 32.97/21.58 tff(1273,plain,
% 32.97/21.58 (v113(constB5)),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1272, 542, 1269])).
% 32.97/21.58 tff(1274,assumption,(v26(constB5)), introduced(assumption)).
% 32.97/21.58 tff(1275,plain,
% 32.97/21.58 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB5))),
% 32.97/21.58 inference(quant_inst,[status(thm)],[])).
% 32.97/21.58 tff(1276,plain,
% 32.97/21.58 ($false),
% 32.97/21.58 inference(unit_resolution,[status(thm)],[1275, 120, 1274])).
% 32.97/21.58 tff(1277,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 32.97/21.58 tff(1278,plain,
% 32.97/21.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | v112(constB5) | (~v113(constB5)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 32.97/21.58 inference(rewrite,[status(thm)],[])).
% 32.97/21.58 tff(1279,plain,
% 32.97/21.59 ((v26(constB5) | (~v113(constB5)) | v112(constB5)) <=> (v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1280,plain,
% 32.97/21.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | v112(constB5) | (~v113(constB5))))),
% 32.97/21.59 inference(monotonicity,[status(thm)],[1279])).
% 32.97/21.59 tff(1281,plain,
% 32.97/21.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 32.97/21.59 inference(transitivity,[status(thm)],[1280, 1278])).
% 32.97/21.59 tff(1282,plain,
% 32.97/21.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1283,plain,
% 32.97/21.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1282, 1281])).
% 32.97/21.59 tff(1284,plain,
% 32.97/21.59 (v112(constB5) | (~v113(constB5))),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1283, 556, 1277])).
% 32.97/21.59 tff(1285,plain,
% 32.97/21.59 (v112(constB5)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1284, 1273])).
% 32.97/21.59 tff(1286,plain,
% 32.97/21.59 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB5) | (~v112(constB5)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB5) | (~v112(constB5)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1287,plain,
% 32.97/21.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB5) | (~v112(constB5)))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1288,plain,
% 32.97/21.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB5) | (~v112(constB5))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1287, 1286])).
% 32.97/21.59 tff(1289,plain,
% 32.97/21.59 (v108(constB5)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1288, 568, 1285])).
% 32.97/21.59 tff(1290,plain,
% 32.97/21.59 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1291,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 32.97/21.59 tff(1292,plain,
% 32.97/21.59 (nextState(constB5, constB6)),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1291, 1290])).
% 32.97/21.59 tff(1293,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1294,plain,
% 32.97/21.59 (((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6)) <=> ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1295,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))))),
% 32.97/21.59 inference(monotonicity,[status(thm)],[1294])).
% 32.97/21.59 tff(1296,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 32.97/21.59 inference(transitivity,[status(thm)],[1295, 1293])).
% 32.97/21.59 tff(1297,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1298,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1297, 1296])).
% 32.97/21.59 tff(1299,plain,
% 32.97/21.59 (v110(constB6) | (~v108(constB5))),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1298, 585, 1292])).
% 32.97/21.59 tff(1300,plain,
% 32.97/21.59 (v110(constB6)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1299, 1289])).
% 32.97/21.59 tff(1301,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1302,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1303,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1302, 1301])).
% 32.97/21.59 tff(1304,plain,
% 32.97/21.59 (~v104(constB6)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1303, 603, 1292, 1053])).
% 32.97/21.59 tff(1305,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1306,plain,
% 32.97/21.59 (((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6)) <=> ((~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1307,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v102(constB6)))),
% 32.97/21.59 inference(monotonicity,[status(thm)],[1306])).
% 32.97/21.59 tff(1308,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))),
% 32.97/21.59 inference(transitivity,[status(thm)],[1307, 1305])).
% 32.97/21.59 tff(1309,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1310,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | v102(constB6)),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1309, 1308])).
% 32.97/21.59 tff(1311,plain,
% 32.97/21.59 (v104(constB6) | v102(constB6)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1310, 617, 1292])).
% 32.97/21.59 tff(1312,plain,
% 32.97/21.59 (v102(constB6)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1311, 1304])).
% 32.97/21.59 tff(1313,plain,
% 32.97/21.59 (v1(constB6) <=> v1(constB6)),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1314,axiom,(v1(constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 32.97/21.59 tff(1315,plain,
% 32.97/21.59 (v1(constB6)),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1314, 1313])).
% 32.97/21.59 tff(1316,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1317,plain,
% 32.97/21.59 (((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6))) <=> ((~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1318,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6))))),
% 32.97/21.59 inference(monotonicity,[status(thm)],[1317])).
% 32.97/21.59 tff(1319,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))),
% 32.97/21.59 inference(transitivity,[status(thm)],[1318, 1316])).
% 32.97/21.59 tff(1320,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1321,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 32.97/21.59 tff(1322,plain,
% 32.97/21.59 (v101(constB6) | (~v102(constB6))),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1321, 638, 1292, 1315])).
% 32.97/21.59 tff(1323,plain,
% 32.97/21.59 (v101(constB6)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1322, 1312])).
% 32.97/21.59 tff(1324,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1325,plain,
% 32.97/21.59 (((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6)) <=> ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1326,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))))),
% 32.97/21.59 inference(monotonicity,[status(thm)],[1325])).
% 32.97/21.59 tff(1327,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 32.97/21.59 inference(transitivity,[status(thm)],[1326, 1324])).
% 32.97/21.59 tff(1328,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1329,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1328, 1327])).
% 32.97/21.59 tff(1330,plain,
% 32.97/21.59 (v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1329, 656, 1292])).
% 32.97/21.59 tff(1331,plain,
% 32.97/21.59 (v100(constB6) | (~v110(constB6))),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1330, 1323])).
% 32.97/21.59 tff(1332,plain,
% 32.97/21.59 (v100(constB6)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1331, 1300])).
% 32.97/21.59 tff(1333,plain,
% 32.97/21.59 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 32.97/21.59 inference(bind,[status(th)],[])).
% 32.97/21.59 tff(1334,plain,
% 32.97/21.59 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.97/21.59 inference(quant_intro,[status(thm)],[1333])).
% 32.97/21.59 tff(1335,plain,
% 32.97/21.59 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1336,plain,
% 32.97/21.59 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 32.97/21.59 inference(bind,[status(th)],[])).
% 32.97/21.59 tff(1337,plain,
% 32.97/21.59 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.97/21.59 inference(quant_intro,[status(thm)],[1336])).
% 32.97/21.59 tff(1338,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_3')).
% 32.97/21.59 tff(1339,plain,
% 32.97/21.59 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1338, 1337])).
% 32.97/21.59 tff(1340,plain,
% 32.97/21.59 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1339, 1335])).
% 32.97/21.59 tff(1341,plain,(
% 32.97/21.59 ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.97/21.59 inference(skolemize,[status(sab)],[1340])).
% 32.97/21.59 tff(1342,plain,
% 32.97/21.59 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1341, 1334])).
% 32.97/21.59 tff(1343,plain,
% 32.97/21.59 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB5)) | (~v130(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB5)) | (~v130(constB5, bitIndex2)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1344,plain,
% 32.97/21.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB5)) | (~v130(constB5, bitIndex2)))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1345,plain,
% 32.97/21.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB5)) | (~v130(constB5, bitIndex2))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1344, 1343])).
% 32.97/21.59 tff(1346,plain,
% 32.97/21.59 (~v130(constB5, bitIndex2)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1345, 1342, 1246])).
% 32.97/21.59 tff(1347,plain,
% 32.97/21.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1348,plain,
% 32.97/21.59 ((v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2))) <=> ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1349,plain,
% 32.97/21.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)))),
% 32.97/21.59 inference(monotonicity,[status(thm)],[1348])).
% 32.97/21.59 tff(1350,plain,
% 32.97/21.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 32.97/21.59 inference(transitivity,[status(thm)],[1349, 1347])).
% 32.97/21.59 tff(1351,plain,
% 32.97/21.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1352,plain,
% 32.97/21.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1351, 1350])).
% 32.97/21.59 tff(1353,plain,
% 32.97/21.59 ((~v127(constB5, bitIndex2)) | v130(constB5, bitIndex2)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1352, 689, 1277])).
% 32.97/21.59 tff(1354,plain,
% 32.97/21.59 (~v127(constB5, bitIndex2)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1353, 1346])).
% 32.97/21.59 tff(1355,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1356,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1357,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1356, 1355])).
% 32.97/21.59 tff(1358,plain,
% 32.97/21.59 (v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1357, 707, 1292])).
% 32.97/21.59 tff(1359,plain,
% 32.97/21.59 (~v129(constB6, bitIndex2)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1358, 1354])).
% 32.97/21.59 tff(1360,plain,
% 32.97/21.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1361,plain,
% 32.97/21.59 (((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2)) <=> ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1362,plain,
% 32.97/21.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6))))),
% 32.97/21.59 inference(monotonicity,[status(thm)],[1361])).
% 32.97/21.59 tff(1363,plain,
% 32.97/21.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 32.97/21.59 inference(transitivity,[status(thm)],[1362, 1360])).
% 32.97/21.59 tff(1364,plain,
% 32.97/21.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1365,plain,
% 32.97/21.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 32.97/21.59 tff(1366,plain,
% 32.97/21.59 ((~v90(constB6, bitIndex2)) | (~v100(constB6))),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1365, 722, 1359])).
% 32.97/21.59 tff(1367,plain,
% 32.97/21.59 (~v90(constB6, bitIndex2)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1366, 1332])).
% 32.97/21.59 tff(1368,plain,
% 32.97/21.59 ((~v1(constB7)) <=> (~v1(constB7))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1369,axiom,(~v1(constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 32.97/21.59 tff(1370,plain,
% 32.97/21.59 (~v1(constB7)),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1369, 1368])).
% 32.97/21.59 tff(1371,plain,
% 32.97/21.59 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1372,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 32.97/21.59 tff(1373,plain,
% 32.97/21.59 (nextState(constB6, constB7)),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1372, 1371])).
% 32.97/21.59 tff(1374,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1375,plain,
% 32.97/21.59 (((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1376,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))))),
% 32.97/21.59 inference(monotonicity,[status(thm)],[1375])).
% 32.97/21.59 tff(1377,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 32.97/21.59 inference(transitivity,[status(thm)],[1376, 1374])).
% 32.97/21.59 tff(1378,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1379,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1378, 1377])).
% 32.97/21.59 tff(1380,plain,
% 32.97/21.59 (~v101(constB7)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1379, 381, 1373, 1370])).
% 32.97/21.59 tff(1381,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1382,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1383,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1382, 1381])).
% 32.97/21.59 tff(1384,plain,
% 32.97/21.59 (v101(constB7) | (~v100(constB7))),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1383, 398, 1373])).
% 32.97/21.59 tff(1385,plain,
% 32.97/21.59 (~v100(constB7)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1384, 1380])).
% 32.97/21.59 tff(1386,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1387,plain,
% 32.97/21.59 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))) <=> (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1388,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2))))),
% 32.97/21.59 inference(monotonicity,[status(thm)],[1387])).
% 32.97/21.59 tff(1389,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 32.97/21.59 inference(transitivity,[status(thm)],[1388, 1386])).
% 32.97/21.59 tff(1390,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1391,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1390, 1389])).
% 32.97/21.59 tff(1392,plain,
% 32.97/21.59 (v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1391, 413, 1373])).
% 32.97/21.59 tff(1393,plain,
% 32.97/21.59 (v90(constB6, bitIndex2) | (~v90(constB7, bitIndex2))),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1392, 1385])).
% 32.97/21.59 tff(1394,plain,
% 32.97/21.59 (~v90(constB7, bitIndex2)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1393, 1367])).
% 32.97/21.59 tff(1395,plain,
% 32.97/21.59 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 32.97/21.59 inference(bind,[status(th)],[])).
% 32.97/21.59 tff(1396,plain,
% 32.97/21.59 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 32.97/21.59 inference(quant_intro,[status(thm)],[1395])).
% 32.97/21.59 tff(1397,plain,
% 32.97/21.59 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1398,plain,
% 32.97/21.59 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 32.97/21.59 inference(bind,[status(th)],[])).
% 32.97/21.59 tff(1399,plain,
% 32.97/21.59 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 32.97/21.59 inference(quant_intro,[status(thm)],[1398])).
% 32.97/21.59 tff(1400,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_2')).
% 32.97/21.59 tff(1401,plain,
% 32.97/21.59 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1400, 1399])).
% 32.97/21.59 tff(1402,plain,
% 32.97/21.59 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1401, 1397])).
% 32.97/21.59 tff(1403,plain,(
% 32.97/21.59 ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 32.97/21.59 inference(skolemize,[status(sab)],[1402])).
% 32.97/21.59 tff(1404,plain,
% 32.97/21.59 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1403, 1396])).
% 32.97/21.59 tff(1405,plain,
% 32.97/21.59 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB5)) | v130(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB5)) | v130(constB5, bitIndex1))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1406,plain,
% 32.97/21.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB5)) | v130(constB5, bitIndex1))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1407,plain,
% 32.97/21.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB5)) | v130(constB5, bitIndex1)),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1406, 1405])).
% 32.97/21.59 tff(1408,plain,
% 32.97/21.59 (v130(constB5, bitIndex1)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1407, 1404, 1246])).
% 32.97/21.59 tff(1409,plain,
% 32.97/21.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1410,plain,
% 32.97/21.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1411,plain,
% 32.97/21.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1)),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1410, 1409])).
% 32.97/21.59 tff(1412,plain,
% 32.97/21.59 ((~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1411, 1101, 1277])).
% 32.97/21.59 tff(1413,plain,
% 32.97/21.59 (v127(constB5, bitIndex1)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1412, 1408])).
% 32.97/21.59 tff(1414,plain,
% 32.97/21.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1415,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1))),
% 32.97/21.59 inference(quant_inst,[status(thm)],[])).
% 32.97/21.59 tff(1416,plain,
% 32.97/21.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1)),
% 32.97/21.59 inference(modus_ponens,[status(thm)],[1415, 1414])).
% 32.97/21.59 tff(1417,plain,
% 32.97/21.59 ((~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1416, 1116, 1292])).
% 32.97/21.59 tff(1418,plain,
% 32.97/21.59 (v129(constB6, bitIndex1)),
% 32.97/21.59 inference(unit_resolution,[status(thm)],[1417, 1413])).
% 32.97/21.59 tff(1419,plain,
% 32.97/21.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))),
% 32.97/21.59 inference(rewrite,[status(thm)],[])).
% 32.97/21.59 tff(1420,plain,
% 32.97/21.59 ((v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1))) <=> (v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1421,plain,
% 32.97/21.60 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6))))),
% 32.97/21.60 inference(monotonicity,[status(thm)],[1420])).
% 32.97/21.60 tff(1422,plain,
% 32.97/21.60 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))),
% 32.97/21.60 inference(transitivity,[status(thm)],[1421, 1419])).
% 32.97/21.60 tff(1423,plain,
% 32.97/21.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1)))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1424,plain,
% 32.97/21.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1423, 1422])).
% 32.97/21.60 tff(1425,plain,
% 32.97/21.60 (v90(constB6, bitIndex1) | (~v100(constB6))),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1424, 1131, 1418])).
% 32.97/21.60 tff(1426,plain,
% 32.97/21.60 (v90(constB6, bitIndex1)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1425, 1332])).
% 32.97/21.60 tff(1427,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1428,plain,
% 32.97/21.60 (((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1)) <=> ((~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1429,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1)))),
% 32.97/21.60 inference(monotonicity,[status(thm)],[1428])).
% 32.97/21.60 tff(1430,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))),
% 32.97/21.60 inference(transitivity,[status(thm)],[1429, 1427])).
% 32.97/21.60 tff(1431,plain,
% 32.97/21.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1432,plain,
% 32.97/21.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1)),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1431, 1430])).
% 32.97/21.60 tff(1433,plain,
% 32.97/21.60 ((~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1432, 1149, 1373])).
% 32.97/21.60 tff(1434,plain,
% 32.97/21.60 ((~v90(constB6, bitIndex1)) | v90(constB7, bitIndex1)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1433, 1385])).
% 32.97/21.60 tff(1435,plain,
% 32.97/21.60 (v90(constB7, bitIndex1)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1434, 1426])).
% 32.97/21.60 tff(1436,plain,
% 32.97/21.60 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 32.97/21.60 inference(bind,[status(th)],[])).
% 32.97/21.60 tff(1437,plain,
% 32.97/21.60 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 32.97/21.60 inference(quant_intro,[status(thm)],[1436])).
% 32.97/21.60 tff(1438,plain,
% 32.97/21.60 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1439,plain,
% 32.97/21.60 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 32.97/21.60 inference(bind,[status(th)],[])).
% 32.97/21.60 tff(1440,plain,
% 32.97/21.60 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 32.97/21.60 inference(quant_intro,[status(thm)],[1439])).
% 32.97/21.60 tff(1441,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_1')).
% 32.97/21.60 tff(1442,plain,
% 32.97/21.60 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1441, 1440])).
% 32.97/21.60 tff(1443,plain,
% 32.97/21.60 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1442, 1438])).
% 32.97/21.60 tff(1444,plain,(
% 32.97/21.60 ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 32.97/21.60 inference(skolemize,[status(sab)],[1443])).
% 32.97/21.60 tff(1445,plain,
% 32.97/21.60 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1444, 1437])).
% 32.97/21.60 tff(1446,plain,
% 32.97/21.60 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB5)) | v130(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB5)) | v130(constB5, bitIndex0))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1447,plain,
% 32.97/21.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB5)) | v130(constB5, bitIndex0))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1448,plain,
% 32.97/21.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB5)) | v130(constB5, bitIndex0)),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1447, 1446])).
% 32.97/21.60 tff(1449,plain,
% 32.97/21.60 (v130(constB5, bitIndex0)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1448, 1445, 1246])).
% 32.97/21.60 tff(1450,plain,
% 32.97/21.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1451,plain,
% 32.97/21.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1452,plain,
% 32.97/21.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0)),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1451, 1450])).
% 32.97/21.60 tff(1453,plain,
% 32.97/21.60 ((~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1452, 855, 1277])).
% 32.97/21.60 tff(1454,plain,
% 32.97/21.60 (v127(constB5, bitIndex0)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1453, 1449])).
% 32.97/21.60 tff(1455,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1456,plain,
% 32.97/21.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1457,plain,
% 32.97/21.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1456, 1455])).
% 32.97/21.60 tff(1458,plain,
% 32.97/21.60 ((~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1457, 870, 1292])).
% 32.97/21.60 tff(1459,plain,
% 32.97/21.60 (v129(constB6, bitIndex0)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1458, 1454])).
% 32.97/21.60 tff(1460,plain,
% 32.97/21.60 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1461,plain,
% 32.97/21.60 ((v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0))) <=> (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1462,plain,
% 32.97/21.60 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))))),
% 32.97/21.60 inference(monotonicity,[status(thm)],[1461])).
% 32.97/21.60 tff(1463,plain,
% 32.97/21.60 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 32.97/21.60 inference(transitivity,[status(thm)],[1462, 1460])).
% 32.97/21.60 tff(1464,plain,
% 32.97/21.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1465,plain,
% 32.97/21.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1464, 1463])).
% 32.97/21.60 tff(1466,plain,
% 32.97/21.60 (v90(constB6, bitIndex0) | (~v100(constB6))),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1465, 885, 1459])).
% 32.97/21.60 tff(1467,plain,
% 32.97/21.60 (v90(constB6, bitIndex0)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1466, 1332])).
% 32.97/21.60 tff(1468,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1469,plain,
% 32.97/21.60 (((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)) <=> ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1470,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0)))),
% 32.97/21.60 inference(monotonicity,[status(thm)],[1469])).
% 32.97/21.60 tff(1471,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 32.97/21.60 inference(transitivity,[status(thm)],[1470, 1468])).
% 32.97/21.60 tff(1472,plain,
% 32.97/21.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1473,plain,
% 32.97/21.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0)),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1472, 1471])).
% 32.97/21.60 tff(1474,plain,
% 32.97/21.60 ((~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1473, 903, 1373])).
% 32.97/21.60 tff(1475,plain,
% 32.97/21.60 ((~v90(constB6, bitIndex0)) | v90(constB7, bitIndex0)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1474, 1385])).
% 32.97/21.60 tff(1476,plain,
% 32.97/21.60 (v90(constB7, bitIndex0)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1475, 1467])).
% 32.97/21.60 tff(1477,plain,
% 32.97/21.60 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)))),
% 32.97/21.60 inference(bind,[status(th)],[])).
% 32.97/21.60 tff(1478,plain,
% 32.97/21.60 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 32.97/21.60 inference(quant_intro,[status(thm)],[1477])).
% 32.97/21.60 tff(1479,plain,
% 32.97/21.60 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1480,plain,
% 32.97/21.60 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v122(VarCurr))), ((((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> (((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v122(VarCurr)) | v90(VarCurr, bitIndex2)))), rewrite((((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v122(VarCurr)) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))), ((((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))))),
% 32.97/21.60 inference(bind,[status(th)],[])).
% 32.97/21.60 tff(1481,plain,
% 32.97/21.60 (![VarCurr: $i] : (((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 32.97/21.60 inference(quant_intro,[status(thm)],[1480])).
% 32.97/21.60 tff(1482,axiom,(![VarCurr: $i] : (((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 32.97/21.60 tff(1483,plain,
% 32.97/21.60 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1482, 1481])).
% 32.97/21.60 tff(1484,plain,
% 32.97/21.60 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1483, 1479])).
% 32.97/21.60 tff(1485,plain,(
% 32.97/21.60 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 32.97/21.60 inference(skolemize,[status(sab)],[1484])).
% 32.97/21.60 tff(1486,plain,
% 32.97/21.60 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1485, 1478])).
% 32.97/21.60 tff(1487,plain,
% 32.97/21.60 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1488,plain,
% 32.97/21.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1489,plain,
% 32.97/21.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7)),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1488, 1487])).
% 32.97/21.60 tff(1490,plain,
% 32.97/21.60 (v122(constB7)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1489, 1486, 1476, 1435, 1394])).
% 32.97/21.60 tff(1491,plain,
% 32.97/21.60 (^[VarCurr: $i] : refl((v116(VarCurr) | (~v122(VarCurr))) <=> (v116(VarCurr) | (~v122(VarCurr))))),
% 32.97/21.60 inference(bind,[status(th)],[])).
% 32.97/21.60 tff(1492,plain,
% 32.97/21.60 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 32.97/21.60 inference(quant_intro,[status(thm)],[1491])).
% 32.97/21.60 tff(1493,plain,
% 32.97/21.60 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1494,axiom,(![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 32.97/21.60 tff(1495,plain,
% 32.97/21.60 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1494, 1493])).
% 32.97/21.60 tff(1496,plain,(
% 32.97/21.60 ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 32.97/21.60 inference(skolemize,[status(sab)],[1495])).
% 32.97/21.60 tff(1497,plain,
% 32.97/21.60 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1496, 1492])).
% 32.97/21.60 tff(1498,plain,
% 32.97/21.60 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB7) | (~v122(constB7)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB7) | (~v122(constB7)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1499,plain,
% 32.97/21.60 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB7) | (~v122(constB7)))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1500,plain,
% 32.97/21.60 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB7) | (~v122(constB7))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1499, 1498])).
% 32.97/21.60 tff(1501,plain,
% 32.97/21.60 (v116(constB7)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1500, 1497, 1490])).
% 32.97/21.60 tff(1502,plain,
% 32.97/21.60 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB7) | (~v116(constB7)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB7) | (~v116(constB7)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1503,plain,
% 32.97/21.60 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB7) | (~v116(constB7)))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1504,plain,
% 32.97/21.60 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB7) | (~v116(constB7))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1503, 1502])).
% 32.97/21.60 tff(1505,plain,
% 32.97/21.60 (v115(constB7)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1504, 520, 1501])).
% 32.97/21.60 tff(1506,plain,
% 32.97/21.60 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB7) | (~v115(constB7)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB7) | (~v115(constB7)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1507,plain,
% 32.97/21.60 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB7) | (~v115(constB7)))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1508,plain,
% 32.97/21.60 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB7) | (~v115(constB7))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1507, 1506])).
% 32.97/21.60 tff(1509,plain,
% 32.97/21.60 (v114(constB7)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1508, 531, 1505])).
% 32.97/21.60 tff(1510,plain,
% 32.97/21.60 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB7) | (~v114(constB7)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB7) | (~v114(constB7)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1511,plain,
% 32.97/21.60 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB7) | (~v114(constB7)))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1512,plain,
% 32.97/21.60 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB7) | (~v114(constB7))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1511, 1510])).
% 32.97/21.60 tff(1513,plain,
% 32.97/21.60 (v113(constB7)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1512, 542, 1509])).
% 32.97/21.60 tff(1514,plain,
% 32.97/21.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1515,plain,
% 32.97/21.60 ((v26(constB7) | (~v113(constB7)) | v112(constB7)) <=> (v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1516,plain,
% 32.97/21.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7))))),
% 32.97/21.60 inference(monotonicity,[status(thm)],[1515])).
% 32.97/21.60 tff(1517,plain,
% 32.97/21.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 32.97/21.60 inference(transitivity,[status(thm)],[1516, 1514])).
% 32.97/21.60 tff(1518,plain,
% 32.97/21.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1519,plain,
% 32.97/21.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1518, 1517])).
% 32.97/21.60 tff(1520,plain,
% 32.97/21.60 (v26(constB7) | v112(constB7)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1519, 556, 1513])).
% 32.97/21.60 tff(1521,plain,
% 32.97/21.60 (v112(constB7)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1520, 357])).
% 32.97/21.60 tff(1522,plain,
% 32.97/21.60 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB7) | (~v112(constB7)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB7) | (~v112(constB7)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1523,plain,
% 32.97/21.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB7) | (~v112(constB7)))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1524,plain,
% 32.97/21.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB7) | (~v112(constB7))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1523, 1522])).
% 32.97/21.60 tff(1525,plain,
% 32.97/21.60 (v108(constB7)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1524, 568, 1521])).
% 32.97/21.60 tff(1526,plain,
% 32.97/21.60 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1527,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 32.97/21.60 tff(1528,plain,
% 32.97/21.60 (nextState(constB7, constB8)),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1527, 1526])).
% 32.97/21.60 tff(1529,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1530,plain,
% 32.97/21.60 (((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8)) <=> ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1531,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))))),
% 32.97/21.60 inference(monotonicity,[status(thm)],[1530])).
% 32.97/21.60 tff(1532,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 32.97/21.60 inference(transitivity,[status(thm)],[1531, 1529])).
% 32.97/21.60 tff(1533,plain,
% 32.97/21.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1534,plain,
% 32.97/21.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1533, 1532])).
% 32.97/21.60 tff(1535,plain,
% 32.97/21.60 (v110(constB8) | (~v108(constB7))),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1534, 585, 1528])).
% 32.97/21.60 tff(1536,plain,
% 32.97/21.60 (v110(constB8)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1535, 1525])).
% 32.97/21.60 tff(1537,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1538,plain,
% 32.97/21.60 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1539,plain,
% 32.97/21.60 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8))),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1538, 1537])).
% 32.97/21.60 tff(1540,plain,
% 32.97/21.60 (~v104(constB8)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1539, 603, 1528, 1370])).
% 32.97/21.60 tff(1541,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1542,plain,
% 32.97/21.60 (((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8)) <=> ((~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1543,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | v102(constB8)))),
% 32.97/21.60 inference(monotonicity,[status(thm)],[1542])).
% 32.97/21.60 tff(1544,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))),
% 32.97/21.60 inference(transitivity,[status(thm)],[1543, 1541])).
% 32.97/21.60 tff(1545,plain,
% 32.97/21.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 32.97/21.60 inference(quant_inst,[status(thm)],[])).
% 32.97/21.60 tff(1546,plain,
% 32.97/21.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | v102(constB8)),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1545, 1544])).
% 32.97/21.60 tff(1547,plain,
% 32.97/21.60 (v104(constB8) | v102(constB8)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1546, 617, 1528])).
% 32.97/21.60 tff(1548,plain,
% 32.97/21.60 (v102(constB8)),
% 32.97/21.60 inference(unit_resolution,[status(thm)],[1547, 1540])).
% 32.97/21.60 tff(1549,plain,
% 32.97/21.60 (v1(constB8) <=> v1(constB8)),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1550,axiom,(v1(constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 32.97/21.60 tff(1551,plain,
% 32.97/21.60 (v1(constB8)),
% 32.97/21.60 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 32.97/21.60 tff(1552,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1553,plain,
% 32.97/21.60 (((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8))) <=> ((~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))),
% 32.97/21.60 inference(rewrite,[status(thm)],[])).
% 32.97/21.60 tff(1554,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8))))),
% 32.97/21.60 inference(monotonicity,[status(thm)],[1553])).
% 32.97/21.60 tff(1555,plain,
% 32.97/21.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))),
% 32.97/21.61 inference(transitivity,[status(thm)],[1554, 1552])).
% 32.97/21.61 tff(1556,plain,
% 32.97/21.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 32.97/21.61 inference(quant_inst,[status(thm)],[])).
% 32.97/21.61 tff(1557,plain,
% 32.97/21.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 32.97/21.61 tff(1558,plain,
% 32.97/21.61 (v101(constB8) | (~v102(constB8))),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1557, 638, 1528, 1551])).
% 32.97/21.61 tff(1559,plain,
% 32.97/21.61 (v101(constB8)),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1558, 1548])).
% 32.97/21.61 tff(1560,plain,
% 32.97/21.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1561,plain,
% 32.97/21.61 (((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8)) <=> ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1562,plain,
% 32.97/21.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))))),
% 32.97/21.61 inference(monotonicity,[status(thm)],[1561])).
% 32.97/21.61 tff(1563,plain,
% 32.97/21.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 32.97/21.61 inference(transitivity,[status(thm)],[1562, 1560])).
% 32.97/21.61 tff(1564,plain,
% 32.97/21.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))),
% 32.97/21.61 inference(quant_inst,[status(thm)],[])).
% 32.97/21.61 tff(1565,plain,
% 32.97/21.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1564, 1563])).
% 32.97/21.61 tff(1566,plain,
% 32.97/21.61 (v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1565, 656, 1528])).
% 32.97/21.61 tff(1567,plain,
% 32.97/21.61 (v100(constB8) | (~v110(constB8))),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1566, 1559])).
% 32.97/21.61 tff(1568,plain,
% 32.97/21.61 (v100(constB8)),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1567, 1536])).
% 32.97/21.61 tff(1569,plain,
% 32.97/21.61 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 32.97/21.61 inference(bind,[status(th)],[])).
% 32.97/21.61 tff(1570,plain,
% 32.97/21.61 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 32.97/21.61 inference(quant_intro,[status(thm)],[1569])).
% 32.97/21.61 tff(1571,plain,
% 32.97/21.61 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1572,plain,
% 32.97/21.61 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 32.97/21.61 inference(bind,[status(th)],[])).
% 32.97/21.61 tff(1573,plain,
% 32.97/21.61 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 32.97/21.61 inference(quant_intro,[status(thm)],[1572])).
% 32.97/21.61 tff(1574,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 32.97/21.61 tff(1575,plain,
% 32.97/21.61 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1574, 1573])).
% 32.97/21.61 tff(1576,plain,
% 32.97/21.61 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1575, 1571])).
% 32.97/21.61 tff(1577,plain,(
% 32.97/21.61 ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 32.97/21.61 inference(skolemize,[status(sab)],[1576])).
% 32.97/21.61 tff(1578,plain,
% 32.97/21.61 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1577, 1570])).
% 32.97/21.61 tff(1579,plain,
% 32.97/21.61 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB7)) | v130(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB7)) | v130(constB7, bitIndex2))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1580,plain,
% 32.97/21.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB7)) | v130(constB7, bitIndex2))),
% 32.97/21.61 inference(quant_inst,[status(thm)],[])).
% 32.97/21.61 tff(1581,plain,
% 32.97/21.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB7)) | v130(constB7, bitIndex2)),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1580, 1579])).
% 32.97/21.61 tff(1582,plain,
% 32.97/21.61 (v130(constB7, bitIndex2)),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1581, 1578, 1490])).
% 32.97/21.61 tff(1583,plain,
% 32.97/21.61 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)))),
% 32.97/21.61 inference(bind,[status(th)],[])).
% 32.97/21.61 tff(1584,plain,
% 32.97/21.61 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 32.97/21.61 inference(quant_intro,[status(thm)],[1583])).
% 32.97/21.61 tff(1585,plain,
% 32.97/21.61 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1586,plain,
% 32.97/21.61 (^[VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) <=> ((~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))), (((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (((~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) | v26(VarCurr)))), rewrite((((~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))), (((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))))),
% 32.97/21.61 inference(bind,[status(th)],[])).
% 32.97/21.61 tff(1587,plain,
% 32.97/21.61 (![VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 32.97/21.61 inference(quant_intro,[status(thm)],[1586])).
% 32.97/21.61 tff(1588,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 32.97/21.61 tff(1589,plain,
% 32.97/21.61 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1588, 1587])).
% 32.97/21.61 tff(1590,plain,
% 32.97/21.61 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1589, 1585])).
% 32.97/21.61 tff(1591,plain,(
% 32.97/21.61 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 32.97/21.61 inference(skolemize,[status(sab)],[1590])).
% 32.97/21.61 tff(1592,plain,
% 32.97/21.61 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1591, 1584])).
% 32.97/21.61 tff(1593,plain,
% 32.97/21.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1594,plain,
% 32.97/21.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2))),
% 32.97/21.61 inference(quant_inst,[status(thm)],[])).
% 32.97/21.61 tff(1595,plain,
% 32.97/21.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2)),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1594, 1593])).
% 32.97/21.61 tff(1596,plain,
% 32.97/21.61 (v26(constB7) | v127(constB7, bitIndex2)),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1595, 1592, 1582])).
% 32.97/21.61 tff(1597,plain,
% 32.97/21.61 (v127(constB7, bitIndex2)),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1596, 357])).
% 32.97/21.61 tff(1598,plain,
% 32.97/21.61 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)))),
% 32.97/21.61 inference(bind,[status(th)],[])).
% 32.97/21.61 tff(1599,plain,
% 32.97/21.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 32.97/21.61 inference(quant_intro,[status(thm)],[1598])).
% 32.97/21.61 tff(1600,plain,
% 32.97/21.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1601,plain,
% 32.97/21.61 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ((~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> (((~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))))),
% 32.97/21.61 inference(bind,[status(th)],[])).
% 32.97/21.61 tff(1602,plain,
% 32.97/21.61 (![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 32.97/21.61 inference(quant_intro,[status(thm)],[1601])).
% 32.97/21.61 tff(1603,axiom,(![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 32.97/21.61 tff(1604,plain,
% 32.97/21.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1603, 1602])).
% 32.97/21.61 tff(1605,plain,
% 32.97/21.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1604, 1600])).
% 32.97/21.61 tff(1606,plain,(
% 32.97/21.61 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 32.97/21.61 inference(skolemize,[status(sab)],[1605])).
% 32.97/21.61 tff(1607,plain,
% 32.97/21.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1606, 1599])).
% 32.97/21.61 tff(1608,plain,
% 32.97/21.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1609,plain,
% 32.97/21.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2))),
% 32.97/21.61 inference(quant_inst,[status(thm)],[])).
% 32.97/21.61 tff(1610,plain,
% 32.97/21.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2)),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1609, 1608])).
% 32.97/21.61 tff(1611,plain,
% 32.97/21.61 ((~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2)),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1610, 1607, 1528])).
% 32.97/21.61 tff(1612,plain,
% 32.97/21.61 (v129(constB8, bitIndex2)),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1611, 1597])).
% 32.97/21.61 tff(1613,plain,
% 32.97/21.61 (^[VarNext: $i] : refl((v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))))),
% 32.97/21.61 inference(bind,[status(th)],[])).
% 32.97/21.61 tff(1614,plain,
% 32.97/21.61 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 32.97/21.61 inference(quant_intro,[status(thm)],[1613])).
% 32.97/21.61 tff(1615,plain,
% 32.97/21.61 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1616,plain,
% 32.97/21.61 (^[VarNext: $i] : trans(monotonicity(rewrite((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> (v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2)))), (((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))))), rewrite(((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))), (((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))))),
% 32.97/21.61 inference(bind,[status(th)],[])).
% 32.97/21.61 tff(1617,plain,
% 32.97/21.61 (![VarNext: $i] : ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 32.97/21.61 inference(quant_intro,[status(thm)],[1616])).
% 32.97/21.61 tff(1618,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_5')).
% 32.97/21.61 tff(1619,plain,
% 32.97/21.61 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 32.97/21.61 tff(1620,plain,
% 32.97/21.61 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1619, 1615])).
% 32.97/21.61 tff(1621,plain,(
% 32.97/21.61 ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 32.97/21.61 inference(skolemize,[status(sab)],[1620])).
% 32.97/21.61 tff(1622,plain,
% 32.97/21.61 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1621, 1614])).
% 32.97/21.61 tff(1623,plain,
% 32.97/21.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1624,plain,
% 32.97/21.61 ((v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2))) <=> (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1625,plain,
% 32.97/21.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8))))),
% 32.97/21.61 inference(monotonicity,[status(thm)],[1624])).
% 32.97/21.61 tff(1626,plain,
% 32.97/21.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))),
% 32.97/21.61 inference(transitivity,[status(thm)],[1625, 1623])).
% 32.97/21.61 tff(1627,plain,
% 32.97/21.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2)))),
% 32.97/21.61 inference(quant_inst,[status(thm)],[])).
% 32.97/21.61 tff(1628,plain,
% 32.97/21.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1627, 1626])).
% 32.97/21.61 tff(1629,plain,
% 32.97/21.61 (v90(constB8, bitIndex2) | (~v100(constB8))),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1628, 1622, 1612])).
% 32.97/21.61 tff(1630,plain,
% 32.97/21.61 (v90(constB8, bitIndex2)),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1629, 1568])).
% 32.97/21.61 tff(1631,plain,
% 32.97/21.61 ((~v1(constB9)) <=> (~v1(constB9))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1632,axiom,(~v1(constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 32.97/21.61 tff(1633,plain,
% 32.97/21.61 (~v1(constB9)),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1632, 1631])).
% 32.97/21.61 tff(1634,plain,
% 32.97/21.61 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1635,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 32.97/21.61 tff(1636,plain,
% 32.97/21.61 (nextState(constB8, constB9)),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1635, 1634])).
% 32.97/21.61 tff(1637,plain,
% 32.97/21.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1638,plain,
% 32.97/21.61 (((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1639,plain,
% 32.97/21.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))))),
% 32.97/21.61 inference(monotonicity,[status(thm)],[1638])).
% 32.97/21.61 tff(1640,plain,
% 32.97/21.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 32.97/21.61 inference(transitivity,[status(thm)],[1639, 1637])).
% 32.97/21.61 tff(1641,plain,
% 32.97/21.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))),
% 32.97/21.61 inference(quant_inst,[status(thm)],[])).
% 32.97/21.61 tff(1642,plain,
% 32.97/21.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1641, 1640])).
% 32.97/21.61 tff(1643,plain,
% 32.97/21.61 (~v101(constB9)),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1642, 381, 1636, 1633])).
% 32.97/21.61 tff(1644,plain,
% 32.97/21.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1645,plain,
% 32.97/21.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 32.97/21.61 inference(quant_inst,[status(thm)],[])).
% 32.97/21.61 tff(1646,plain,
% 32.97/21.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1645, 1644])).
% 32.97/21.61 tff(1647,plain,
% 32.97/21.61 (v101(constB9) | (~v100(constB9))),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1646, 398, 1636])).
% 32.97/21.61 tff(1648,plain,
% 32.97/21.61 (~v100(constB9)),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1647, 1643])).
% 32.97/21.61 tff(1649,plain,
% 32.97/21.61 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)))),
% 32.97/21.61 inference(bind,[status(th)],[])).
% 32.97/21.61 tff(1650,plain,
% 32.97/21.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 32.97/21.61 inference(quant_intro,[status(thm)],[1649])).
% 32.97/21.61 tff(1651,plain,
% 32.97/21.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1652,plain,
% 32.97/21.61 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex2)) | v90(VarNext, bitIndex2))), (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) <=> (((~v90(VarCurr, bitIndex2)) | v90(VarNext, bitIndex2)) | v100(VarNext)))), rewrite((((~v90(VarCurr, bitIndex2)) | v90(VarNext, bitIndex2)) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))), (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)))), ((((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))), ((((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))))),
% 32.97/21.61 inference(bind,[status(th)],[])).
% 32.97/21.61 tff(1653,plain,
% 32.97/21.61 (![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 32.97/21.61 inference(quant_intro,[status(thm)],[1652])).
% 32.97/21.61 tff(1654,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_5')).
% 32.97/21.61 tff(1655,plain,
% 32.97/21.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1654, 1653])).
% 32.97/21.61 tff(1656,plain,
% 32.97/21.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1655, 1651])).
% 32.97/21.61 tff(1657,plain,(
% 32.97/21.61 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 32.97/21.61 inference(skolemize,[status(sab)],[1656])).
% 32.97/21.61 tff(1658,plain,
% 32.97/21.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1657, 1650])).
% 32.97/21.61 tff(1659,plain,
% 32.97/21.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1660,plain,
% 32.97/21.61 (((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2)) <=> ((~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1661,plain,
% 32.97/21.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2)))),
% 32.97/21.61 inference(monotonicity,[status(thm)],[1660])).
% 32.97/21.61 tff(1662,plain,
% 32.97/21.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))),
% 32.97/21.61 inference(transitivity,[status(thm)],[1661, 1659])).
% 32.97/21.61 tff(1663,plain,
% 32.97/21.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2))),
% 32.97/21.61 inference(quant_inst,[status(thm)],[])).
% 32.97/21.61 tff(1664,plain,
% 32.97/21.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2)),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1663, 1662])).
% 32.97/21.61 tff(1665,plain,
% 32.97/21.61 ((~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2)),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1664, 1658, 1636])).
% 32.97/21.61 tff(1666,plain,
% 32.97/21.61 ((~v90(constB8, bitIndex2)) | v90(constB9, bitIndex2)),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1665, 1648])).
% 32.97/21.61 tff(1667,plain,
% 32.97/21.61 (v90(constB9, bitIndex2)),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1666, 1630])).
% 32.97/21.61 tff(1668,plain,
% 32.97/21.61 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 32.97/21.61 inference(bind,[status(th)],[])).
% 32.97/21.61 tff(1669,plain,
% 32.97/21.61 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 32.97/21.61 inference(quant_intro,[status(thm)],[1668])).
% 32.97/21.61 tff(1670,plain,
% 32.97/21.61 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1671,plain,
% 32.97/21.61 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 32.97/21.61 inference(bind,[status(th)],[])).
% 32.97/21.61 tff(1672,plain,
% 32.97/21.61 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 32.97/21.61 inference(quant_intro,[status(thm)],[1671])).
% 32.97/21.61 tff(1673,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 32.97/21.61 tff(1674,plain,
% 32.97/21.61 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1673, 1672])).
% 32.97/21.61 tff(1675,plain,
% 32.97/21.61 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1674, 1670])).
% 32.97/21.61 tff(1676,plain,(
% 32.97/21.61 ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 32.97/21.61 inference(skolemize,[status(sab)],[1675])).
% 32.97/21.61 tff(1677,plain,
% 32.97/21.61 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1676, 1669])).
% 32.97/21.61 tff(1678,plain,
% 32.97/21.61 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB7)) | (~v130(constB7, bitIndex1)))),
% 32.97/21.61 inference(rewrite,[status(thm)],[])).
% 32.97/21.61 tff(1679,plain,
% 32.97/21.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex1)))),
% 32.97/21.61 inference(quant_inst,[status(thm)],[])).
% 32.97/21.61 tff(1680,plain,
% 32.97/21.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB7)) | (~v130(constB7, bitIndex1))),
% 32.97/21.61 inference(modus_ponens,[status(thm)],[1679, 1678])).
% 32.97/21.61 tff(1681,plain,
% 32.97/21.61 (~v130(constB7, bitIndex1)),
% 32.97/21.61 inference(unit_resolution,[status(thm)],[1680, 1677, 1490])).
% 32.97/21.61 tff(1682,plain,
% 32.97/21.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1683,plain,
% 32.97/21.62 ((v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1))) <=> ((~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1684,plain,
% 32.97/21.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1)))),
% 32.97/21.62 inference(monotonicity,[status(thm)],[1683])).
% 32.97/21.62 tff(1685,plain,
% 32.97/21.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))),
% 32.97/21.62 inference(transitivity,[status(thm)],[1684, 1682])).
% 32.97/21.62 tff(1686,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1)))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1687,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1)),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 32.97/21.62 tff(1688,plain,
% 32.97/21.62 ((~v127(constB7, bitIndex1)) | v26(constB7)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1687, 781, 1681])).
% 32.97/21.62 tff(1689,plain,
% 32.97/21.62 (~v127(constB7, bitIndex1)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1688, 357])).
% 32.97/21.62 tff(1690,plain,
% 32.97/21.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1691,plain,
% 32.97/21.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1)))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1692,plain,
% 32.97/21.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1691, 1690])).
% 32.97/21.62 tff(1693,plain,
% 32.97/21.62 (v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1))),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1692, 799, 1528])).
% 32.97/21.62 tff(1694,plain,
% 32.97/21.62 (~v129(constB8, bitIndex1)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1693, 1689])).
% 32.97/21.62 tff(1695,plain,
% 32.97/21.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1696,plain,
% 32.97/21.62 (((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1)) <=> ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1697,plain,
% 32.97/21.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8))))),
% 32.97/21.62 inference(monotonicity,[status(thm)],[1696])).
% 32.97/21.62 tff(1698,plain,
% 32.97/21.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))),
% 32.97/21.62 inference(transitivity,[status(thm)],[1697, 1695])).
% 32.97/21.62 tff(1699,plain,
% 32.97/21.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1700,plain,
% 32.97/21.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1699, 1698])).
% 32.97/21.62 tff(1701,plain,
% 32.97/21.62 ((~v90(constB8, bitIndex1)) | (~v100(constB8))),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1700, 814, 1694])).
% 32.97/21.62 tff(1702,plain,
% 32.97/21.62 (~v90(constB8, bitIndex1)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1701, 1568])).
% 32.97/21.62 tff(1703,plain,
% 32.97/21.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1704,plain,
% 32.97/21.62 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1))) <=> (v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1705,plain,
% 32.97/21.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1))))),
% 32.97/21.62 inference(monotonicity,[status(thm)],[1704])).
% 32.97/21.62 tff(1706,plain,
% 32.97/21.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 32.97/21.62 inference(transitivity,[status(thm)],[1705, 1703])).
% 32.97/21.62 tff(1707,plain,
% 32.97/21.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1708,plain,
% 32.97/21.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1707, 1706])).
% 32.97/21.62 tff(1709,plain,
% 32.97/21.62 (v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1))),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1708, 434, 1636])).
% 32.97/21.62 tff(1710,plain,
% 32.97/21.62 (v90(constB8, bitIndex1) | (~v90(constB9, bitIndex1))),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1709, 1648])).
% 32.97/21.62 tff(1711,plain,
% 32.97/21.62 (~v90(constB9, bitIndex1)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1710, 1702])).
% 32.97/21.62 tff(1712,plain,
% 32.97/21.62 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 32.97/21.62 inference(bind,[status(th)],[])).
% 32.97/21.62 tff(1713,plain,
% 32.97/21.62 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 32.97/21.62 inference(quant_intro,[status(thm)],[1712])).
% 32.97/21.62 tff(1714,plain,
% 32.97/21.62 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1715,plain,
% 32.97/21.62 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 32.97/21.62 inference(bind,[status(th)],[])).
% 32.97/21.62 tff(1716,plain,
% 32.97/21.62 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 32.97/21.62 inference(quant_intro,[status(thm)],[1715])).
% 32.97/21.62 tff(1717,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 32.97/21.62 tff(1718,plain,
% 32.97/21.62 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1717, 1716])).
% 32.97/21.62 tff(1719,plain,
% 32.97/21.62 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1718, 1714])).
% 32.97/21.62 tff(1720,plain,(
% 32.97/21.62 ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 32.97/21.62 inference(skolemize,[status(sab)],[1719])).
% 32.97/21.62 tff(1721,plain,
% 32.97/21.62 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1720, 1713])).
% 32.97/21.62 tff(1722,plain,
% 32.97/21.62 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB7)) | (~v130(constB7, bitIndex0)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1723,plain,
% 32.97/21.62 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex0)))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1724,plain,
% 32.97/21.62 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB7)) | (~v130(constB7, bitIndex0))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1723, 1722])).
% 32.97/21.62 tff(1725,plain,
% 32.97/21.62 (~v130(constB7, bitIndex0)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1724, 1721, 1490])).
% 32.97/21.62 tff(1726,plain,
% 32.97/21.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1727,plain,
% 32.97/21.62 ((v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0))) <=> ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1728,plain,
% 32.97/21.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)))),
% 32.97/21.62 inference(monotonicity,[status(thm)],[1727])).
% 32.97/21.62 tff(1729,plain,
% 32.97/21.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 32.97/21.62 inference(transitivity,[status(thm)],[1728, 1726])).
% 32.97/21.62 tff(1730,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1731,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1730, 1729])).
% 32.97/21.62 tff(1732,plain,
% 32.97/21.62 ((~v127(constB7, bitIndex0)) | v26(constB7)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1731, 1182, 1725])).
% 32.97/21.62 tff(1733,plain,
% 32.97/21.62 (~v127(constB7, bitIndex0)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1732, 357])).
% 32.97/21.62 tff(1734,plain,
% 32.97/21.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1735,plain,
% 32.97/21.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1736,plain,
% 32.97/21.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1735, 1734])).
% 32.97/21.62 tff(1737,plain,
% 32.97/21.62 (v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1736, 1200, 1528])).
% 32.97/21.62 tff(1738,plain,
% 32.97/21.62 (~v129(constB8, bitIndex0)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1737, 1733])).
% 32.97/21.62 tff(1739,plain,
% 32.97/21.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1740,plain,
% 32.97/21.62 (((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0)) <=> ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1741,plain,
% 32.97/21.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))))),
% 32.97/21.62 inference(monotonicity,[status(thm)],[1740])).
% 32.97/21.62 tff(1742,plain,
% 32.97/21.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 32.97/21.62 inference(transitivity,[status(thm)],[1741, 1739])).
% 32.97/21.62 tff(1743,plain,
% 32.97/21.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1744,plain,
% 32.97/21.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1743, 1742])).
% 32.97/21.62 tff(1745,plain,
% 32.97/21.62 ((~v90(constB8, bitIndex0)) | (~v100(constB8))),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1744, 1215, 1738])).
% 32.97/21.62 tff(1746,plain,
% 32.97/21.62 (~v90(constB8, bitIndex0)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1745, 1568])).
% 32.97/21.62 tff(1747,plain,
% 32.97/21.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1748,plain,
% 32.97/21.62 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))) <=> (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1749,plain,
% 32.97/21.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0))))),
% 32.97/21.62 inference(monotonicity,[status(thm)],[1748])).
% 32.97/21.62 tff(1750,plain,
% 32.97/21.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 32.97/21.62 inference(transitivity,[status(thm)],[1749, 1747])).
% 32.97/21.62 tff(1751,plain,
% 32.97/21.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1752,plain,
% 32.97/21.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1751, 1750])).
% 32.97/21.62 tff(1753,plain,
% 32.97/21.62 (v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1752, 455, 1636])).
% 32.97/21.62 tff(1754,plain,
% 32.97/21.62 (v90(constB8, bitIndex0) | (~v90(constB9, bitIndex0))),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1753, 1648])).
% 32.97/21.62 tff(1755,plain,
% 32.97/21.62 (~v90(constB9, bitIndex0)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1754, 1746])).
% 32.97/21.62 tff(1756,plain,
% 32.97/21.62 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)))),
% 32.97/21.62 inference(bind,[status(th)],[])).
% 32.97/21.62 tff(1757,plain,
% 32.97/21.62 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 32.97/21.62 inference(quant_intro,[status(thm)],[1756])).
% 32.97/21.62 tff(1758,plain,
% 32.97/21.62 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1759,plain,
% 32.97/21.62 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) <=> (v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))), ((((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) | v90(VarCurr, bitIndex0)))), rewrite(((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))), ((((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))))),
% 32.97/21.62 inference(bind,[status(th)],[])).
% 32.97/21.62 tff(1760,plain,
% 32.97/21.62 (![VarCurr: $i] : (((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 32.97/21.62 inference(quant_intro,[status(thm)],[1759])).
% 32.97/21.62 tff(1761,axiom,(![VarCurr: $i] : (((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_1')).
% 32.97/21.62 tff(1762,plain,
% 32.97/21.62 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1761, 1760])).
% 32.97/21.62 tff(1763,plain,
% 32.97/21.62 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1762, 1758])).
% 32.97/21.62 tff(1764,plain,(
% 32.97/21.62 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 32.97/21.62 inference(skolemize,[status(sab)],[1763])).
% 32.97/21.62 tff(1765,plain,
% 32.97/21.62 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1764, 1757])).
% 32.97/21.62 tff(1766,plain,
% 32.97/21.62 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1767,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1768,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9)),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1767, 1766])).
% 32.97/21.62 tff(1769,plain,
% 32.97/21.62 (v123(constB9)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1768, 1765, 1755, 1711, 1667])).
% 32.97/21.62 tff(1770,plain,
% 32.97/21.62 (^[VarCurr: $i] : refl((v115(VarCurr) | (~v123(VarCurr))) <=> (v115(VarCurr) | (~v123(VarCurr))))),
% 32.97/21.62 inference(bind,[status(th)],[])).
% 32.97/21.62 tff(1771,plain,
% 32.97/21.62 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 32.97/21.62 inference(quant_intro,[status(thm)],[1770])).
% 32.97/21.62 tff(1772,plain,
% 32.97/21.62 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1773,axiom,(![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1')).
% 32.97/21.62 tff(1774,plain,
% 32.97/21.62 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1773, 1772])).
% 32.97/21.62 tff(1775,plain,(
% 32.97/21.62 ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 32.97/21.62 inference(skolemize,[status(sab)],[1774])).
% 32.97/21.62 tff(1776,plain,
% 32.97/21.62 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1775, 1771])).
% 32.97/21.62 tff(1777,plain,
% 32.97/21.62 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB9) | (~v123(constB9)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB9) | (~v123(constB9)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1778,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB9) | (~v123(constB9)))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1779,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB9) | (~v123(constB9))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1778, 1777])).
% 32.97/21.62 tff(1780,plain,
% 32.97/21.62 (v115(constB9)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1779, 1776, 1769])).
% 32.97/21.62 tff(1781,plain,
% 32.97/21.62 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB9) | (~v115(constB9)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB9) | (~v115(constB9)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1782,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB9) | (~v115(constB9)))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1783,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB9) | (~v115(constB9))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1782, 1781])).
% 32.97/21.62 tff(1784,plain,
% 32.97/21.62 (v114(constB9)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1783, 531, 1780])).
% 32.97/21.62 tff(1785,plain,
% 32.97/21.62 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB9) | (~v114(constB9)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB9) | (~v114(constB9)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1786,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB9) | (~v114(constB9)))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1787,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB9) | (~v114(constB9))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1786, 1785])).
% 32.97/21.62 tff(1788,plain,
% 32.97/21.62 (v113(constB9)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1787, 542, 1784])).
% 32.97/21.62 tff(1789,plain,
% 32.97/21.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1790,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1791,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | (~v113(constB9)) | v112(constB9)),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 32.97/21.62 tff(1792,plain,
% 32.97/21.62 (v26(constB9) | v112(constB9)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1791, 556, 1788])).
% 32.97/21.62 tff(1793,plain,
% 32.97/21.62 (v112(constB9)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1792, 353])).
% 32.97/21.62 tff(1794,plain,
% 32.97/21.62 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB9) | (~v112(constB9)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB9) | (~v112(constB9)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1795,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB9) | (~v112(constB9)))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1796,plain,
% 32.97/21.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB9) | (~v112(constB9))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1795, 1794])).
% 32.97/21.62 tff(1797,plain,
% 32.97/21.62 (v108(constB9)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1796, 568, 1793])).
% 32.97/21.62 tff(1798,plain,
% 32.97/21.62 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1799,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 32.97/21.62 tff(1800,plain,
% 32.97/21.62 (nextState(constB9, constB10)),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1799, 1798])).
% 32.97/21.62 tff(1801,plain,
% 32.97/21.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1802,plain,
% 32.97/21.62 (((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10)) <=> ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1803,plain,
% 32.97/21.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))))),
% 32.97/21.62 inference(monotonicity,[status(thm)],[1802])).
% 32.97/21.62 tff(1804,plain,
% 32.97/21.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 32.97/21.62 inference(transitivity,[status(thm)],[1803, 1801])).
% 32.97/21.62 tff(1805,plain,
% 32.97/21.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1806,plain,
% 32.97/21.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1805, 1804])).
% 32.97/21.62 tff(1807,plain,
% 32.97/21.62 (v110(constB10) | (~v108(constB9))),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1806, 585, 1800])).
% 32.97/21.62 tff(1808,plain,
% 32.97/21.62 (v110(constB10)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1807, 1797])).
% 32.97/21.62 tff(1809,plain,
% 32.97/21.62 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1810,plain,
% 32.97/21.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 32.97/21.62 inference(quant_inst,[status(thm)],[])).
% 32.97/21.62 tff(1811,plain,
% 32.97/21.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10))),
% 32.97/21.62 inference(modus_ponens,[status(thm)],[1810, 1809])).
% 32.97/21.62 tff(1812,plain,
% 32.97/21.62 (~v104(constB10)),
% 32.97/21.62 inference(unit_resolution,[status(thm)],[1811, 603, 1800, 1633])).
% 32.97/21.62 tff(1813,plain,
% 32.97/21.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))),
% 32.97/21.62 inference(rewrite,[status(thm)],[])).
% 32.97/21.62 tff(1814,plain,
% 32.97/21.62 (((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10)) <=> ((~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))),
% 33.03/21.62 inference(rewrite,[status(thm)],[])).
% 33.03/21.62 tff(1815,plain,
% 33.03/21.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | v102(constB10)))),
% 33.03/21.62 inference(monotonicity,[status(thm)],[1814])).
% 33.03/21.62 tff(1816,plain,
% 33.03/21.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))),
% 33.03/21.62 inference(transitivity,[status(thm)],[1815, 1813])).
% 33.03/21.62 tff(1817,plain,
% 33.03/21.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 33.03/21.63 inference(quant_inst,[status(thm)],[])).
% 33.03/21.63 tff(1818,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | v102(constB10)),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1817, 1816])).
% 33.03/21.63 tff(1819,plain,
% 33.03/21.63 (v104(constB10) | v102(constB10)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1818, 617, 1800])).
% 33.03/21.63 tff(1820,plain,
% 33.03/21.63 (v102(constB10)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1819, 1812])).
% 33.03/21.63 tff(1821,plain,
% 33.03/21.63 (v1(constB10) <=> v1(constB10)),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1822,axiom,(v1(constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 33.03/21.63 tff(1823,plain,
% 33.03/21.63 (v1(constB10)),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1822, 1821])).
% 33.03/21.63 tff(1824,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1825,plain,
% 33.03/21.63 (((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10))) <=> ((~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1826,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10))))),
% 33.03/21.63 inference(monotonicity,[status(thm)],[1825])).
% 33.03/21.63 tff(1827,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))),
% 33.03/21.63 inference(transitivity,[status(thm)],[1826, 1824])).
% 33.03/21.63 tff(1828,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 33.03/21.63 inference(quant_inst,[status(thm)],[])).
% 33.03/21.63 tff(1829,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10))),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1828, 1827])).
% 33.03/21.63 tff(1830,plain,
% 33.03/21.63 (v101(constB10) | (~v102(constB10))),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1829, 638, 1800, 1823])).
% 33.03/21.63 tff(1831,plain,
% 33.03/21.63 (v101(constB10)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1830, 1820])).
% 33.03/21.63 tff(1832,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1833,plain,
% 33.03/21.63 (((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10)) <=> ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1834,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))))),
% 33.03/21.63 inference(monotonicity,[status(thm)],[1833])).
% 33.03/21.63 tff(1835,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 33.03/21.63 inference(transitivity,[status(thm)],[1834, 1832])).
% 33.03/21.63 tff(1836,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))),
% 33.03/21.63 inference(quant_inst,[status(thm)],[])).
% 33.03/21.63 tff(1837,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1836, 1835])).
% 33.03/21.63 tff(1838,plain,
% 33.03/21.63 (v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1837, 656, 1800])).
% 33.03/21.63 tff(1839,plain,
% 33.03/21.63 (v100(constB10) | (~v110(constB10))),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1838, 1831])).
% 33.03/21.63 tff(1840,plain,
% 33.03/21.63 (v100(constB10)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1839, 1808])).
% 33.03/21.63 tff(1841,plain,
% 33.03/21.63 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 33.03/21.63 inference(bind,[status(th)],[])).
% 33.03/21.63 tff(1842,plain,
% 33.03/21.63 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 33.03/21.63 inference(quant_intro,[status(thm)],[1841])).
% 33.03/21.63 tff(1843,plain,
% 33.03/21.63 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1844,plain,
% 33.03/21.63 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 33.03/21.63 inference(bind,[status(th)],[])).
% 33.03/21.63 tff(1845,plain,
% 33.03/21.63 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 33.03/21.63 inference(quant_intro,[status(thm)],[1844])).
% 33.03/21.63 tff(1846,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_3')).
% 33.03/21.63 tff(1847,plain,
% 33.03/21.63 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1846, 1845])).
% 33.03/21.63 tff(1848,plain,
% 33.03/21.63 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1847, 1843])).
% 33.03/21.63 tff(1849,plain,(
% 33.03/21.63 ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 33.03/21.63 inference(skolemize,[status(sab)],[1848])).
% 33.03/21.63 tff(1850,plain,
% 33.03/21.63 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1849, 1842])).
% 33.03/21.63 tff(1851,plain,
% 33.03/21.63 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB9)) | v130(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB9)) | v130(constB9, bitIndex2))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1852,plain,
% 33.03/21.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB9)) | v130(constB9, bitIndex2))),
% 33.03/21.63 inference(quant_inst,[status(thm)],[])).
% 33.03/21.63 tff(1853,plain,
% 33.03/21.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB9)) | v130(constB9, bitIndex2)),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1852, 1851])).
% 33.03/21.63 tff(1854,plain,
% 33.03/21.63 (v130(constB9, bitIndex2)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1853, 1850, 1769])).
% 33.03/21.63 tff(1855,plain,
% 33.03/21.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1856,plain,
% 33.03/21.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2))),
% 33.03/21.63 inference(quant_inst,[status(thm)],[])).
% 33.03/21.63 tff(1857,plain,
% 33.03/21.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2)),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1856, 1855])).
% 33.03/21.63 tff(1858,plain,
% 33.03/21.63 (v26(constB9) | v127(constB9, bitIndex2)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1857, 1592, 1854])).
% 33.03/21.63 tff(1859,plain,
% 33.03/21.63 (v127(constB9, bitIndex2)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1858, 353])).
% 33.03/21.63 tff(1860,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1861,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2))),
% 33.03/21.63 inference(quant_inst,[status(thm)],[])).
% 33.03/21.63 tff(1862,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2)),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1861, 1860])).
% 33.03/21.63 tff(1863,plain,
% 33.03/21.63 ((~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1862, 1607, 1800])).
% 33.03/21.63 tff(1864,plain,
% 33.03/21.63 (v129(constB10, bitIndex2)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1863, 1859])).
% 33.03/21.63 tff(1865,plain,
% 33.03/21.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1866,plain,
% 33.03/21.63 ((v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2))) <=> (v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1867,plain,
% 33.03/21.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10))))),
% 33.03/21.63 inference(monotonicity,[status(thm)],[1866])).
% 33.03/21.63 tff(1868,plain,
% 33.03/21.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))),
% 33.03/21.63 inference(transitivity,[status(thm)],[1867, 1865])).
% 33.03/21.63 tff(1869,plain,
% 33.03/21.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2)))),
% 33.03/21.63 inference(quant_inst,[status(thm)],[])).
% 33.03/21.63 tff(1870,plain,
% 33.03/21.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10))),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1869, 1868])).
% 33.03/21.63 tff(1871,plain,
% 33.03/21.63 (v90(constB10, bitIndex2) | (~v100(constB10))),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1870, 1622, 1864])).
% 33.03/21.63 tff(1872,plain,
% 33.03/21.63 (v90(constB10, bitIndex2)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1871, 1840])).
% 33.03/21.63 tff(1873,plain,
% 33.03/21.63 ((~v1(constB11)) <=> (~v1(constB11))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1874,axiom,(~v1(constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 33.03/21.63 tff(1875,plain,
% 33.03/21.63 (~v1(constB11)),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1874, 1873])).
% 33.03/21.63 tff(1876,plain,
% 33.03/21.63 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1877,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 33.03/21.63 tff(1878,plain,
% 33.03/21.63 (nextState(constB10, constB11)),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1877, 1876])).
% 33.03/21.63 tff(1879,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1880,plain,
% 33.03/21.63 (((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1881,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))))),
% 33.03/21.63 inference(monotonicity,[status(thm)],[1880])).
% 33.03/21.63 tff(1882,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 33.03/21.63 inference(transitivity,[status(thm)],[1881, 1879])).
% 33.03/21.63 tff(1883,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))),
% 33.03/21.63 inference(quant_inst,[status(thm)],[])).
% 33.03/21.63 tff(1884,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1883, 1882])).
% 33.03/21.63 tff(1885,plain,
% 33.03/21.63 (~v101(constB11)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1884, 381, 1878, 1875])).
% 33.03/21.63 tff(1886,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1887,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 33.03/21.63 inference(quant_inst,[status(thm)],[])).
% 33.03/21.63 tff(1888,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11))),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1887, 1886])).
% 33.03/21.63 tff(1889,plain,
% 33.03/21.63 (v101(constB11) | (~v100(constB11))),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1888, 398, 1878])).
% 33.03/21.63 tff(1890,plain,
% 33.03/21.63 (~v100(constB11)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1889, 1885])).
% 33.03/21.63 tff(1891,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1892,plain,
% 33.03/21.63 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2)) <=> ((~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1893,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2)))),
% 33.03/21.63 inference(monotonicity,[status(thm)],[1892])).
% 33.03/21.63 tff(1894,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))),
% 33.03/21.63 inference(transitivity,[status(thm)],[1893, 1891])).
% 33.03/21.63 tff(1895,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2))),
% 33.03/21.63 inference(quant_inst,[status(thm)],[])).
% 33.03/21.63 tff(1896,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2)),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1895, 1894])).
% 33.03/21.63 tff(1897,plain,
% 33.03/21.63 ((~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1896, 1658, 1878])).
% 33.03/21.63 tff(1898,plain,
% 33.03/21.63 ((~v90(constB10, bitIndex2)) | v90(constB11, bitIndex2)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1897, 1890])).
% 33.03/21.63 tff(1899,plain,
% 33.03/21.63 (v90(constB11, bitIndex2)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1898, 1872])).
% 33.03/21.63 tff(1900,plain,
% 33.03/21.63 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 33.03/21.63 inference(bind,[status(th)],[])).
% 33.03/21.63 tff(1901,plain,
% 33.03/21.63 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 33.03/21.63 inference(quant_intro,[status(thm)],[1900])).
% 33.03/21.63 tff(1902,plain,
% 33.03/21.63 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1903,plain,
% 33.03/21.63 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 33.03/21.63 inference(bind,[status(th)],[])).
% 33.03/21.63 tff(1904,plain,
% 33.03/21.63 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 33.03/21.63 inference(quant_intro,[status(thm)],[1903])).
% 33.03/21.63 tff(1905,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_2')).
% 33.03/21.63 tff(1906,plain,
% 33.03/21.63 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1905, 1904])).
% 33.03/21.63 tff(1907,plain,
% 33.03/21.63 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1906, 1902])).
% 33.03/21.63 tff(1908,plain,(
% 33.03/21.63 ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 33.03/21.63 inference(skolemize,[status(sab)],[1907])).
% 33.03/21.63 tff(1909,plain,
% 33.03/21.63 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1908, 1901])).
% 33.03/21.63 tff(1910,plain,
% 33.03/21.63 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB9)) | (~v130(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB9)) | (~v130(constB9, bitIndex1)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1911,plain,
% 33.03/21.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB9)) | (~v130(constB9, bitIndex1)))),
% 33.03/21.63 inference(quant_inst,[status(thm)],[])).
% 33.03/21.63 tff(1912,plain,
% 33.03/21.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB9)) | (~v130(constB9, bitIndex1))),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1911, 1910])).
% 33.03/21.63 tff(1913,plain,
% 33.03/21.63 (~v130(constB9, bitIndex1)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1912, 1909, 1769])).
% 33.03/21.63 tff(1914,plain,
% 33.03/21.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1915,plain,
% 33.03/21.63 ((v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1))) <=> ((~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1916,plain,
% 33.03/21.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1)))),
% 33.03/21.63 inference(monotonicity,[status(thm)],[1915])).
% 33.03/21.63 tff(1917,plain,
% 33.03/21.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))),
% 33.03/21.63 inference(transitivity,[status(thm)],[1916, 1914])).
% 33.03/21.63 tff(1918,plain,
% 33.03/21.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1)))),
% 33.03/21.63 inference(quant_inst,[status(thm)],[])).
% 33.03/21.63 tff(1919,plain,
% 33.03/21.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1)),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1918, 1917])).
% 33.03/21.63 tff(1920,plain,
% 33.03/21.63 ((~v127(constB9, bitIndex1)) | v26(constB9)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1919, 781, 1913])).
% 33.03/21.63 tff(1921,plain,
% 33.03/21.63 (~v127(constB9, bitIndex1)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1920, 353])).
% 33.03/21.63 tff(1922,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1923,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1)))),
% 33.03/21.63 inference(quant_inst,[status(thm)],[])).
% 33.03/21.63 tff(1924,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1))),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1923, 1922])).
% 33.03/21.63 tff(1925,plain,
% 33.03/21.63 (v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1))),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1924, 799, 1800])).
% 33.03/21.63 tff(1926,plain,
% 33.03/21.63 (~v129(constB10, bitIndex1)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1925, 1921])).
% 33.03/21.63 tff(1927,plain,
% 33.03/21.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1928,plain,
% 33.03/21.63 (((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1)) <=> ((~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1929,plain,
% 33.03/21.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10))))),
% 33.03/21.63 inference(monotonicity,[status(thm)],[1928])).
% 33.03/21.63 tff(1930,plain,
% 33.03/21.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))),
% 33.03/21.63 inference(transitivity,[status(thm)],[1929, 1927])).
% 33.03/21.63 tff(1931,plain,
% 33.03/21.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1))),
% 33.03/21.63 inference(quant_inst,[status(thm)],[])).
% 33.03/21.63 tff(1932,plain,
% 33.03/21.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10))),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1931, 1930])).
% 33.03/21.63 tff(1933,plain,
% 33.03/21.63 ((~v90(constB10, bitIndex1)) | (~v100(constB10))),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1932, 814, 1926])).
% 33.03/21.63 tff(1934,plain,
% 33.03/21.63 (~v90(constB10, bitIndex1)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1933, 1840])).
% 33.03/21.63 tff(1935,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1936,plain,
% 33.03/21.63 (((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1))) <=> (v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 33.03/21.63 inference(rewrite,[status(thm)],[])).
% 33.03/21.63 tff(1937,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1))))),
% 33.03/21.63 inference(monotonicity,[status(thm)],[1936])).
% 33.03/21.63 tff(1938,plain,
% 33.03/21.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 33.03/21.63 inference(transitivity,[status(thm)],[1937, 1935])).
% 33.03/21.63 tff(1939,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 33.03/21.63 inference(quant_inst,[status(thm)],[])).
% 33.03/21.63 tff(1940,plain,
% 33.03/21.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1))),
% 33.03/21.63 inference(modus_ponens,[status(thm)],[1939, 1938])).
% 33.03/21.63 tff(1941,plain,
% 33.03/21.63 (v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1))),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1940, 434, 1878])).
% 33.03/21.63 tff(1942,plain,
% 33.03/21.63 (v90(constB10, bitIndex1) | (~v90(constB11, bitIndex1))),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1941, 1890])).
% 33.03/21.63 tff(1943,plain,
% 33.03/21.63 (~v90(constB11, bitIndex1)),
% 33.03/21.63 inference(unit_resolution,[status(thm)],[1942, 1934])).
% 33.03/21.64 tff(1944,plain,
% 33.03/21.64 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 33.03/21.64 inference(bind,[status(th)],[])).
% 33.03/21.64 tff(1945,plain,
% 33.03/21.64 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 33.03/21.64 inference(quant_intro,[status(thm)],[1944])).
% 33.03/21.64 tff(1946,plain,
% 33.03/21.64 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(1947,plain,
% 33.03/21.64 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 33.03/21.64 inference(bind,[status(th)],[])).
% 33.03/21.64 tff(1948,plain,
% 33.03/21.64 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 33.03/21.64 inference(quant_intro,[status(thm)],[1947])).
% 33.03/21.64 tff(1949,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1')).
% 33.03/21.64 tff(1950,plain,
% 33.03/21.64 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[1949, 1948])).
% 33.03/21.64 tff(1951,plain,
% 33.03/21.64 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[1950, 1946])).
% 33.03/21.64 tff(1952,plain,(
% 33.03/21.64 ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 33.03/21.64 inference(skolemize,[status(sab)],[1951])).
% 33.03/21.64 tff(1953,plain,
% 33.03/21.64 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[1952, 1945])).
% 33.03/21.64 tff(1954,plain,
% 33.03/21.64 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB9)) | v130(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB9)) | v130(constB9, bitIndex0))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(1955,plain,
% 33.03/21.64 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB9)) | v130(constB9, bitIndex0))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(1956,plain,
% 33.03/21.64 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB9)) | v130(constB9, bitIndex0)),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[1955, 1954])).
% 33.03/21.64 tff(1957,plain,
% 33.03/21.64 (v130(constB9, bitIndex0)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[1956, 1953, 1769])).
% 33.03/21.64 tff(1958,plain,
% 33.03/21.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(1959,plain,
% 33.03/21.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(1960,plain,
% 33.03/21.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0)),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[1959, 1958])).
% 33.03/21.64 tff(1961,plain,
% 33.03/21.64 (v26(constB9) | v127(constB9, bitIndex0)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[1960, 855, 1957])).
% 33.03/21.64 tff(1962,plain,
% 33.03/21.64 (v127(constB9, bitIndex0)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[1961, 353])).
% 33.03/21.64 tff(1963,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(1964,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(1965,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 33.03/21.64 tff(1966,plain,
% 33.03/21.64 ((~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[1965, 870, 1800])).
% 33.03/21.64 tff(1967,plain,
% 33.03/21.64 (v129(constB10, bitIndex0)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[1966, 1962])).
% 33.03/21.64 tff(1968,plain,
% 33.03/21.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(1969,plain,
% 33.03/21.64 ((v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0))) <=> (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(1970,plain,
% 33.03/21.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))))),
% 33.03/21.64 inference(monotonicity,[status(thm)],[1969])).
% 33.03/21.64 tff(1971,plain,
% 33.03/21.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 33.03/21.64 inference(transitivity,[status(thm)],[1970, 1968])).
% 33.03/21.64 tff(1972,plain,
% 33.03/21.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(1973,plain,
% 33.03/21.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[1972, 1971])).
% 33.03/21.64 tff(1974,plain,
% 33.03/21.64 (v90(constB10, bitIndex0) | (~v100(constB10))),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[1973, 885, 1967])).
% 33.03/21.64 tff(1975,plain,
% 33.03/21.64 (v90(constB10, bitIndex0)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[1974, 1840])).
% 33.03/21.64 tff(1976,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(1977,plain,
% 33.03/21.64 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)) <=> ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(1978,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0)))),
% 33.03/21.64 inference(monotonicity,[status(thm)],[1977])).
% 33.03/21.64 tff(1979,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 33.03/21.64 inference(transitivity,[status(thm)],[1978, 1976])).
% 33.03/21.64 tff(1980,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(1981,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0)),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[1980, 1979])).
% 33.03/21.64 tff(1982,plain,
% 33.03/21.64 ((~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[1981, 903, 1878])).
% 33.03/21.64 tff(1983,plain,
% 33.03/21.64 ((~v90(constB10, bitIndex0)) | v90(constB11, bitIndex0)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[1982, 1890])).
% 33.03/21.64 tff(1984,plain,
% 33.03/21.64 (v90(constB11, bitIndex0)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[1983, 1975])).
% 33.03/21.64 tff(1985,plain,
% 33.03/21.64 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)))),
% 33.03/21.64 inference(bind,[status(th)],[])).
% 33.03/21.64 tff(1986,plain,
% 33.03/21.64 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 33.03/21.64 inference(quant_intro,[status(thm)],[1985])).
% 33.03/21.64 tff(1987,plain,
% 33.03/21.64 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(1988,plain,
% 33.03/21.64 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))), ((((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1)) <=> (((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) | v90(VarCurr, bitIndex1)))), rewrite((((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))), ((((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))))),
% 33.03/21.64 inference(bind,[status(th)],[])).
% 33.03/21.64 tff(1989,plain,
% 33.03/21.64 (![VarCurr: $i] : (((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 33.03/21.64 inference(quant_intro,[status(thm)],[1988])).
% 33.03/21.64 tff(1990,axiom,(![VarCurr: $i] : (((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 33.03/21.64 tff(1991,plain,
% 33.03/21.64 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[1990, 1989])).
% 33.03/21.64 tff(1992,plain,
% 33.03/21.64 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[1991, 1987])).
% 33.03/21.64 tff(1993,plain,(
% 33.03/21.64 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 33.03/21.64 inference(skolemize,[status(sab)],[1992])).
% 33.03/21.64 tff(1994,plain,
% 33.03/21.64 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[1993, 1986])).
% 33.03/21.64 tff(1995,plain,
% 33.03/21.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(1996,plain,
% 33.03/21.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(1997,plain,
% 33.03/21.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11)),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[1996, 1995])).
% 33.03/21.64 tff(1998,plain,
% 33.03/21.64 (v124(constB11)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[1997, 1994, 1984, 1943, 1899])).
% 33.03/21.64 tff(1999,plain,
% 33.03/21.64 (^[VarCurr: $i] : refl((v114(VarCurr) | (~v124(VarCurr))) <=> (v114(VarCurr) | (~v124(VarCurr))))),
% 33.03/21.64 inference(bind,[status(th)],[])).
% 33.03/21.64 tff(2000,plain,
% 33.03/21.64 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 33.03/21.64 inference(quant_intro,[status(thm)],[1999])).
% 33.03/21.64 tff(2001,plain,
% 33.03/21.64 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2002,axiom,(![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 33.03/21.64 tff(2003,plain,
% 33.03/21.64 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2002, 2001])).
% 33.03/21.64 tff(2004,plain,(
% 33.03/21.64 ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 33.03/21.64 inference(skolemize,[status(sab)],[2003])).
% 33.03/21.64 tff(2005,plain,
% 33.03/21.64 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2004, 2000])).
% 33.03/21.64 tff(2006,plain,
% 33.03/21.64 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB11) | (~v124(constB11)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB11) | (~v124(constB11)))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2007,plain,
% 33.03/21.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB11) | (~v124(constB11)))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(2008,plain,
% 33.03/21.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB11) | (~v124(constB11))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2007, 2006])).
% 33.03/21.64 tff(2009,plain,
% 33.03/21.64 (v114(constB11)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2008, 2005, 1998])).
% 33.03/21.64 tff(2010,plain,
% 33.03/21.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB11) | (~v114(constB11)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB11) | (~v114(constB11)))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2011,plain,
% 33.03/21.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB11) | (~v114(constB11)))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(2012,plain,
% 33.03/21.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB11) | (~v114(constB11))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2011, 2010])).
% 33.03/21.64 tff(2013,plain,
% 33.03/21.64 (v113(constB11)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2012, 542, 2009])).
% 33.03/21.64 tff(2014,plain,
% 33.03/21.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2015,plain,
% 33.03/21.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(2016,plain,
% 33.03/21.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | (~v113(constB11)) | v112(constB11)),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2015, 2014])).
% 33.03/21.64 tff(2017,plain,
% 33.03/21.64 (v26(constB11) | v112(constB11)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2016, 556, 2013])).
% 33.03/21.64 tff(2018,plain,
% 33.03/21.64 (v112(constB11)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2017, 349])).
% 33.03/21.64 tff(2019,plain,
% 33.03/21.64 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB11) | (~v112(constB11)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB11) | (~v112(constB11)))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2020,plain,
% 33.03/21.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB11) | (~v112(constB11)))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(2021,plain,
% 33.03/21.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB11) | (~v112(constB11))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2020, 2019])).
% 33.03/21.64 tff(2022,plain,
% 33.03/21.64 (v108(constB11)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2021, 568, 2018])).
% 33.03/21.64 tff(2023,plain,
% 33.03/21.64 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2024,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 33.03/21.64 tff(2025,plain,
% 33.03/21.64 (nextState(constB11, constB12)),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 33.03/21.64 tff(2026,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2027,plain,
% 33.03/21.64 (((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12)) <=> ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2028,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))))),
% 33.03/21.64 inference(monotonicity,[status(thm)],[2027])).
% 33.03/21.64 tff(2029,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 33.03/21.64 inference(transitivity,[status(thm)],[2028, 2026])).
% 33.03/21.64 tff(2030,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(2031,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2030, 2029])).
% 33.03/21.64 tff(2032,plain,
% 33.03/21.64 (v110(constB12) | (~v108(constB11))),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2031, 585, 2025])).
% 33.03/21.64 tff(2033,plain,
% 33.03/21.64 (v110(constB12)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2032, 2022])).
% 33.03/21.64 tff(2034,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2035,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(2036,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2035, 2034])).
% 33.03/21.64 tff(2037,plain,
% 33.03/21.64 (~v104(constB12)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2036, 603, 2025, 1875])).
% 33.03/21.64 tff(2038,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2039,plain,
% 33.03/21.64 (((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12)) <=> ((~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2040,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | v102(constB12)))),
% 33.03/21.64 inference(monotonicity,[status(thm)],[2039])).
% 33.03/21.64 tff(2041,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))),
% 33.03/21.64 inference(transitivity,[status(thm)],[2040, 2038])).
% 33.03/21.64 tff(2042,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(2043,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | v102(constB12)),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2042, 2041])).
% 33.03/21.64 tff(2044,plain,
% 33.03/21.64 (v104(constB12) | v102(constB12)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2043, 617, 2025])).
% 33.03/21.64 tff(2045,plain,
% 33.03/21.64 (v102(constB12)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2044, 2037])).
% 33.03/21.64 tff(2046,plain,
% 33.03/21.64 (v1(constB12) <=> v1(constB12)),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2047,axiom,(v1(constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 33.03/21.64 tff(2048,plain,
% 33.03/21.64 (v1(constB12)),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2047, 2046])).
% 33.03/21.64 tff(2049,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2050,plain,
% 33.03/21.64 (((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12))) <=> ((~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2051,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12))))),
% 33.03/21.64 inference(monotonicity,[status(thm)],[2050])).
% 33.03/21.64 tff(2052,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))),
% 33.03/21.64 inference(transitivity,[status(thm)],[2051, 2049])).
% 33.03/21.64 tff(2053,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(2054,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2053, 2052])).
% 33.03/21.64 tff(2055,plain,
% 33.03/21.64 (v101(constB12) | (~v102(constB12))),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2054, 638, 2025, 2048])).
% 33.03/21.64 tff(2056,plain,
% 33.03/21.64 (v101(constB12)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2055, 2045])).
% 33.03/21.64 tff(2057,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2058,plain,
% 33.03/21.64 (((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12)) <=> ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2059,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))))),
% 33.03/21.64 inference(monotonicity,[status(thm)],[2058])).
% 33.03/21.64 tff(2060,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 33.03/21.64 inference(transitivity,[status(thm)],[2059, 2057])).
% 33.03/21.64 tff(2061,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(2062,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2061, 2060])).
% 33.03/21.64 tff(2063,plain,
% 33.03/21.64 (v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2062, 656, 2025])).
% 33.03/21.64 tff(2064,plain,
% 33.03/21.64 (v100(constB12) | (~v110(constB12))),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2063, 2056])).
% 33.03/21.64 tff(2065,plain,
% 33.03/21.64 (v100(constB12)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2064, 2033])).
% 33.03/21.64 tff(2066,plain,
% 33.03/21.64 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 33.03/21.64 inference(bind,[status(th)],[])).
% 33.03/21.64 tff(2067,plain,
% 33.03/21.64 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 33.03/21.64 inference(quant_intro,[status(thm)],[2066])).
% 33.03/21.64 tff(2068,plain,
% 33.03/21.64 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2069,plain,
% 33.03/21.64 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 33.03/21.64 inference(bind,[status(th)],[])).
% 33.03/21.64 tff(2070,plain,
% 33.03/21.64 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 33.03/21.64 inference(quant_intro,[status(thm)],[2069])).
% 33.03/21.64 tff(2071,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 33.03/21.64 tff(2072,plain,
% 33.03/21.64 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2071, 2070])).
% 33.03/21.64 tff(2073,plain,
% 33.03/21.64 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2072, 2068])).
% 33.03/21.64 tff(2074,plain,(
% 33.03/21.64 ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 33.03/21.64 inference(skolemize,[status(sab)],[2073])).
% 33.03/21.64 tff(2075,plain,
% 33.03/21.64 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2074, 2067])).
% 33.03/21.64 tff(2076,plain,
% 33.03/21.64 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB11)) | v130(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB11)) | v130(constB11, bitIndex2))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2077,plain,
% 33.03/21.64 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB11)) | v130(constB11, bitIndex2))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(2078,plain,
% 33.03/21.64 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB11)) | v130(constB11, bitIndex2)),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2077, 2076])).
% 33.03/21.64 tff(2079,plain,
% 33.03/21.64 (v130(constB11, bitIndex2)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2078, 2075, 1998])).
% 33.03/21.64 tff(2080,plain,
% 33.03/21.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2081,plain,
% 33.03/21.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(2082,plain,
% 33.03/21.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2)),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2081, 2080])).
% 33.03/21.64 tff(2083,plain,
% 33.03/21.64 (v26(constB11) | v127(constB11, bitIndex2)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2082, 1592, 2079])).
% 33.03/21.64 tff(2084,plain,
% 33.03/21.64 (v127(constB11, bitIndex2)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2083, 349])).
% 33.03/21.64 tff(2085,plain,
% 33.03/21.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2086,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(2087,plain,
% 33.03/21.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 33.03/21.64 inference(modus_ponens,[status(thm)],[2086, 2085])).
% 33.03/21.64 tff(2088,plain,
% 33.03/21.64 ((~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2087, 1607, 2025])).
% 33.03/21.64 tff(2089,plain,
% 33.03/21.64 (v129(constB12, bitIndex2)),
% 33.03/21.64 inference(unit_resolution,[status(thm)],[2088, 2084])).
% 33.03/21.64 tff(2090,plain,
% 33.03/21.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2091,plain,
% 33.03/21.64 ((v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2))) <=> (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 33.03/21.64 inference(rewrite,[status(thm)],[])).
% 33.03/21.64 tff(2092,plain,
% 33.03/21.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))))),
% 33.03/21.64 inference(monotonicity,[status(thm)],[2091])).
% 33.03/21.64 tff(2093,plain,
% 33.03/21.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 33.03/21.64 inference(transitivity,[status(thm)],[2092, 2090])).
% 33.03/21.64 tff(2094,plain,
% 33.03/21.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))),
% 33.03/21.64 inference(quant_inst,[status(thm)],[])).
% 33.03/21.64 tff(2095,plain,
% 33.03/21.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2094, 2093])).
% 33.03/21.65 tff(2096,plain,
% 33.03/21.65 (v90(constB12, bitIndex2) | (~v100(constB12))),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2095, 1622, 2089])).
% 33.03/21.65 tff(2097,plain,
% 33.03/21.65 (v90(constB12, bitIndex2)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2096, 2065])).
% 33.03/21.65 tff(2098,plain,
% 33.03/21.65 ((~v1(constB13)) <=> (~v1(constB13))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2099,axiom,(~v1(constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 33.03/21.65 tff(2100,plain,
% 33.03/21.65 (~v1(constB13)),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2099, 2098])).
% 33.03/21.65 tff(2101,plain,
% 33.03/21.65 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2102,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 33.03/21.65 tff(2103,plain,
% 33.03/21.65 (nextState(constB12, constB13)),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2102, 2101])).
% 33.03/21.65 tff(2104,plain,
% 33.03/21.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2105,plain,
% 33.03/21.65 (((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2106,plain,
% 33.03/21.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))))),
% 33.03/21.65 inference(monotonicity,[status(thm)],[2105])).
% 33.03/21.65 tff(2107,plain,
% 33.03/21.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 33.03/21.65 inference(transitivity,[status(thm)],[2106, 2104])).
% 33.03/21.65 tff(2108,plain,
% 33.03/21.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))),
% 33.03/21.65 inference(quant_inst,[status(thm)],[])).
% 33.03/21.65 tff(2109,plain,
% 33.03/21.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2108, 2107])).
% 33.03/21.65 tff(2110,plain,
% 33.03/21.65 (~v101(constB13)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2109, 381, 2103, 2100])).
% 33.03/21.65 tff(2111,plain,
% 33.03/21.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2112,plain,
% 33.03/21.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 33.03/21.65 inference(quant_inst,[status(thm)],[])).
% 33.03/21.65 tff(2113,plain,
% 33.03/21.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 33.03/21.65 tff(2114,plain,
% 33.03/21.65 (v101(constB13) | (~v100(constB13))),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2113, 398, 2103])).
% 33.03/21.65 tff(2115,plain,
% 33.03/21.65 (~v100(constB13)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2114, 2110])).
% 33.03/21.65 tff(2116,plain,
% 33.03/21.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2117,plain,
% 33.03/21.65 (((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)) <=> ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2118,plain,
% 33.03/21.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2)))),
% 33.03/21.65 inference(monotonicity,[status(thm)],[2117])).
% 33.03/21.65 tff(2119,plain,
% 33.03/21.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 33.03/21.65 inference(transitivity,[status(thm)],[2118, 2116])).
% 33.03/21.65 tff(2120,plain,
% 33.03/21.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))),
% 33.03/21.65 inference(quant_inst,[status(thm)],[])).
% 33.03/21.65 tff(2121,plain,
% 33.03/21.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2)),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2120, 2119])).
% 33.03/21.65 tff(2122,plain,
% 33.03/21.65 ((~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2121, 1658, 2103])).
% 33.03/21.65 tff(2123,plain,
% 33.03/21.65 ((~v90(constB12, bitIndex2)) | v90(constB13, bitIndex2)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2122, 2115])).
% 33.03/21.65 tff(2124,plain,
% 33.03/21.65 (v90(constB13, bitIndex2)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2123, 2097])).
% 33.03/21.65 tff(2125,plain,
% 33.03/21.65 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))))),
% 33.03/21.65 inference(bind,[status(th)],[])).
% 33.03/21.65 tff(2126,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 33.03/21.65 inference(quant_intro,[status(thm)],[2125])).
% 33.03/21.65 tff(2127,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2128,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 33.03/21.65 tff(2129,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2128, 2127])).
% 33.03/21.65 tff(2130,plain,(
% 33.03/21.65 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 33.03/21.65 inference(skolemize,[status(sab)],[2129])).
% 33.03/21.65 tff(2131,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2130, 2126])).
% 33.03/21.65 tff(2132,plain,
% 33.03/21.65 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB13, bitIndex2)) | (~v122(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB13, bitIndex2)) | (~v122(constB13)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2133,plain,
% 33.03/21.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB13, bitIndex2)) | (~v122(constB13)))),
% 33.03/21.65 inference(quant_inst,[status(thm)],[])).
% 33.03/21.65 tff(2134,plain,
% 33.03/21.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB13, bitIndex2)) | (~v122(constB13))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2133, 2132])).
% 33.03/21.65 tff(2135,plain,
% 33.03/21.65 (~v122(constB13)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2134, 2131, 2124])).
% 33.03/21.65 tff(2136,plain,
% 33.03/21.65 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 33.03/21.65 inference(bind,[status(th)],[])).
% 33.03/21.65 tff(2137,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 33.03/21.65 inference(quant_intro,[status(thm)],[2136])).
% 33.03/21.65 tff(2138,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2139,plain,
% 33.03/21.65 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 33.03/21.65 inference(bind,[status(th)],[])).
% 33.03/21.65 tff(2140,plain,
% 33.03/21.65 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 33.03/21.65 inference(quant_intro,[status(thm)],[2139])).
% 33.03/21.65 tff(2141,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 33.03/21.65 tff(2142,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2141, 2140])).
% 33.03/21.65 tff(2143,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2142, 2138])).
% 33.03/21.65 tff(2144,plain,(
% 33.03/21.65 ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 33.03/21.65 inference(skolemize,[status(sab)],[2143])).
% 33.03/21.65 tff(2145,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2144, 2137])).
% 33.03/21.65 tff(2146,plain,
% 33.03/21.65 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB11)) | v130(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB11)) | v130(constB11, bitIndex1))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2147,plain,
% 33.03/21.65 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB11)) | v130(constB11, bitIndex1))),
% 33.03/21.65 inference(quant_inst,[status(thm)],[])).
% 33.03/21.65 tff(2148,plain,
% 33.03/21.65 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB11)) | v130(constB11, bitIndex1)),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2147, 2146])).
% 33.03/21.65 tff(2149,plain,
% 33.03/21.65 (v130(constB11, bitIndex1)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2148, 2145, 1998])).
% 33.03/21.65 tff(2150,plain,
% 33.03/21.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2151,plain,
% 33.03/21.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1))),
% 33.03/21.65 inference(quant_inst,[status(thm)],[])).
% 33.03/21.65 tff(2152,plain,
% 33.03/21.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1)),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2151, 2150])).
% 33.03/21.65 tff(2153,plain,
% 33.03/21.65 (v26(constB11) | v127(constB11, bitIndex1)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2152, 1101, 2149])).
% 33.03/21.65 tff(2154,plain,
% 33.03/21.65 (v127(constB11, bitIndex1)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2153, 349])).
% 33.03/21.65 tff(2155,plain,
% 33.03/21.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2156,plain,
% 33.03/21.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1))),
% 33.03/21.65 inference(quant_inst,[status(thm)],[])).
% 33.03/21.65 tff(2157,plain,
% 33.03/21.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1)),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2156, 2155])).
% 33.03/21.65 tff(2158,plain,
% 33.03/21.65 ((~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2157, 1116, 2025])).
% 33.03/21.65 tff(2159,plain,
% 33.03/21.65 (v129(constB12, bitIndex1)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2158, 2154])).
% 33.03/21.65 tff(2160,plain,
% 33.03/21.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2161,plain,
% 33.03/21.65 ((v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1))) <=> (v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2162,plain,
% 33.03/21.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12))))),
% 33.03/21.65 inference(monotonicity,[status(thm)],[2161])).
% 33.03/21.65 tff(2163,plain,
% 33.03/21.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))),
% 33.03/21.65 inference(transitivity,[status(thm)],[2162, 2160])).
% 33.03/21.65 tff(2164,plain,
% 33.03/21.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1)))),
% 33.03/21.65 inference(quant_inst,[status(thm)],[])).
% 33.03/21.65 tff(2165,plain,
% 33.03/21.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2164, 2163])).
% 33.03/21.65 tff(2166,plain,
% 33.03/21.65 (v90(constB12, bitIndex1) | (~v100(constB12))),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2165, 1131, 2159])).
% 33.03/21.65 tff(2167,plain,
% 33.03/21.65 (v90(constB12, bitIndex1)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2166, 2065])).
% 33.03/21.65 tff(2168,plain,
% 33.03/21.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2169,plain,
% 33.03/21.65 (((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1)) <=> ((~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2170,plain,
% 33.03/21.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1)))),
% 33.03/21.65 inference(monotonicity,[status(thm)],[2169])).
% 33.03/21.65 tff(2171,plain,
% 33.03/21.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))),
% 33.03/21.65 inference(transitivity,[status(thm)],[2170, 2168])).
% 33.03/21.65 tff(2172,plain,
% 33.03/21.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1))),
% 33.03/21.65 inference(quant_inst,[status(thm)],[])).
% 33.03/21.65 tff(2173,plain,
% 33.03/21.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1)),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2172, 2171])).
% 33.03/21.65 tff(2174,plain,
% 33.03/21.65 ((~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2173, 1149, 2103])).
% 33.03/21.65 tff(2175,plain,
% 33.03/21.65 ((~v90(constB12, bitIndex1)) | v90(constB13, bitIndex1)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2174, 2115])).
% 33.03/21.65 tff(2176,plain,
% 33.03/21.65 (v90(constB13, bitIndex1)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2175, 2167])).
% 33.03/21.65 tff(2177,plain,
% 33.03/21.65 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))))),
% 33.03/21.65 inference(bind,[status(th)],[])).
% 33.03/21.65 tff(2178,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 33.03/21.65 inference(quant_intro,[status(thm)],[2177])).
% 33.03/21.65 tff(2179,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2180,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_4')).
% 33.03/21.65 tff(2181,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2180, 2179])).
% 33.03/21.65 tff(2182,plain,(
% 33.03/21.65 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 33.03/21.65 inference(skolemize,[status(sab)],[2181])).
% 33.03/21.65 tff(2183,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2182, 2178])).
% 33.03/21.65 tff(2184,plain,
% 33.03/21.65 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v120(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v120(constB13)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2185,plain,
% 33.03/21.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v120(constB13)))),
% 33.03/21.65 inference(quant_inst,[status(thm)],[])).
% 33.03/21.65 tff(2186,plain,
% 33.03/21.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v120(constB13))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2185, 2184])).
% 33.03/21.65 tff(2187,plain,
% 33.03/21.65 (~v120(constB13)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2186, 2183, 2176])).
% 33.03/21.65 tff(2188,plain,
% 33.03/21.65 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))))),
% 33.03/21.65 inference(bind,[status(th)],[])).
% 33.03/21.65 tff(2189,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 33.03/21.65 inference(quant_intro,[status(thm)],[2188])).
% 33.03/21.65 tff(2190,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2191,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_3')).
% 33.03/21.65 tff(2192,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2191, 2190])).
% 33.03/21.65 tff(2193,plain,(
% 33.03/21.65 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 33.03/21.65 inference(skolemize,[status(sab)],[2192])).
% 33.03/21.65 tff(2194,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2193, 2189])).
% 33.03/21.65 tff(2195,plain,
% 33.03/21.65 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v123(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v123(constB13)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2196,plain,
% 33.03/21.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v123(constB13)))),
% 33.03/21.65 inference(quant_inst,[status(thm)],[])).
% 33.03/21.65 tff(2197,plain,
% 33.03/21.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v123(constB13))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2196, 2195])).
% 33.03/21.65 tff(2198,plain,
% 33.03/21.65 (~v123(constB13)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2197, 2194, 2176])).
% 33.03/21.65 tff(2199,plain,
% 33.03/21.65 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))))),
% 33.03/21.65 inference(bind,[status(th)],[])).
% 33.03/21.65 tff(2200,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 33.03/21.65 inference(quant_intro,[status(thm)],[2199])).
% 33.03/21.65 tff(2201,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2202,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 33.03/21.65 tff(2203,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2202, 2201])).
% 33.03/21.65 tff(2204,plain,(
% 33.03/21.65 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 33.03/21.65 inference(skolemize,[status(sab)],[2203])).
% 33.03/21.65 tff(2205,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2204, 2200])).
% 33.03/21.65 tff(2206,plain,
% 33.03/21.65 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v124(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v124(constB13)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2207,plain,
% 33.03/21.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v124(constB13)))),
% 33.03/21.65 inference(quant_inst,[status(thm)],[])).
% 33.03/21.65 tff(2208,plain,
% 33.03/21.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v124(constB13))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2207, 2206])).
% 33.03/21.65 tff(2209,plain,
% 33.03/21.65 (~v124(constB13)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2208, 2205, 2176])).
% 33.03/21.65 tff(2210,plain,
% 33.03/21.65 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))))),
% 33.03/21.65 inference(bind,[status(th)],[])).
% 33.03/21.65 tff(2211,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 33.03/21.65 inference(quant_intro,[status(thm)],[2210])).
% 33.03/21.65 tff(2212,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2213,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 33.03/21.65 tff(2214,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2213, 2212])).
% 33.03/21.65 tff(2215,plain,(
% 33.03/21.65 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 33.03/21.65 inference(skolemize,[status(sab)],[2214])).
% 33.03/21.65 tff(2216,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2215, 2211])).
% 33.03/21.65 tff(2217,plain,
% 33.03/21.65 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB13, bitIndex2)) | (~v121(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB13, bitIndex2)) | (~v121(constB13)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2218,plain,
% 33.03/21.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB13, bitIndex2)) | (~v121(constB13)))),
% 33.03/21.65 inference(quant_inst,[status(thm)],[])).
% 33.03/21.65 tff(2219,plain,
% 33.03/21.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB13, bitIndex2)) | (~v121(constB13))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2218, 2217])).
% 33.03/21.65 tff(2220,plain,
% 33.03/21.65 (~v121(constB13)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2219, 2216, 2124])).
% 33.03/21.65 tff(2221,plain,
% 33.03/21.65 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 33.03/21.65 inference(bind,[status(th)],[])).
% 33.03/21.65 tff(2222,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 33.03/21.65 inference(quant_intro,[status(thm)],[2221])).
% 33.03/21.65 tff(2223,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2224,plain,
% 33.03/21.65 (^[VarCurr: $i] : rewrite(((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 33.03/21.65 inference(bind,[status(th)],[])).
% 33.03/21.65 tff(2225,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 33.03/21.65 inference(quant_intro,[status(thm)],[2224])).
% 33.03/21.65 tff(2226,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 33.03/21.65 tff(2227,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 33.03/21.65 tff(2228,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2227, 2223])).
% 33.03/21.65 tff(2229,plain,(
% 33.03/21.65 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 33.03/21.65 inference(skolemize,[status(sab)],[2228])).
% 33.03/21.65 tff(2230,plain,
% 33.03/21.65 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2229, 2222])).
% 33.03/21.65 tff(2231,plain,
% 33.03/21.65 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB13)) | (~v90(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB13)) | (~v90(constB13, bitIndex1)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2232,plain,
% 33.03/21.65 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB13)) | (~v90(constB13, bitIndex1)))),
% 33.03/21.65 inference(quant_inst,[status(thm)],[])).
% 33.03/21.65 tff(2233,plain,
% 33.03/21.65 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB13)) | (~v90(constB13, bitIndex1))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2232, 2231])).
% 33.03/21.65 tff(2234,plain,
% 33.03/21.65 (~v119(constB13)),
% 33.03/21.65 inference(unit_resolution,[status(thm)],[2233, 2230, 2176])).
% 33.03/21.65 tff(2235,plain,
% 33.03/21.65 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))),
% 33.03/21.65 inference(bind,[status(th)],[])).
% 33.03/21.65 tff(2236,plain,
% 33.03/21.65 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 33.03/21.65 inference(quant_intro,[status(thm)],[2235])).
% 33.03/21.65 tff(2237,plain,
% 33.03/21.65 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2238,plain,
% 33.03/21.65 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) <=> (v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) <=> ((v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v123(VarCurr)))), rewrite(((v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), (((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> ((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v122(VarCurr)))), rewrite(((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), (((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), ((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> ((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v121(VarCurr)))), rewrite(((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> ((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v120(VarCurr)))), rewrite(((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), ((((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v119(VarCurr)))), rewrite(((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))))),
% 33.03/21.65 inference(bind,[status(th)],[])).
% 33.03/21.65 tff(2239,plain,
% 33.03/21.65 (![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 33.03/21.65 inference(quant_intro,[status(thm)],[2238])).
% 33.03/21.65 tff(2240,axiom,(![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_3')).
% 33.03/21.65 tff(2241,plain,
% 33.03/21.65 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2240, 2239])).
% 33.03/21.65 tff(2242,plain,
% 33.03/21.65 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2241, 2237])).
% 33.03/21.65 tff(2243,plain,(
% 33.03/21.65 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 33.03/21.65 inference(skolemize,[status(sab)],[2242])).
% 33.03/21.65 tff(2244,plain,
% 33.03/21.65 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 33.03/21.65 inference(modus_ponens,[status(thm)],[2243, 2236])).
% 33.03/21.65 tff(2245,plain,
% 33.03/21.65 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))),
% 33.03/21.65 inference(rewrite,[status(thm)],[])).
% 33.03/21.65 tff(2246,plain,
% 33.03/21.65 ((v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2))) <=> (v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))),
% 33.03/21.66 inference(rewrite,[status(thm)],[])).
% 33.03/21.66 tff(2247,plain,
% 33.03/21.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | (~v130(constB13, bitIndex2))))),
% 33.03/21.66 inference(monotonicity,[status(thm)],[2246])).
% 33.03/21.66 tff(2248,plain,
% 33.03/21.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))),
% 33.03/21.66 inference(transitivity,[status(thm)],[2247, 2245])).
% 33.03/21.66 tff(2249,plain,
% 33.03/21.66 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))),
% 33.03/21.66 inference(quant_inst,[status(thm)],[])).
% 33.03/21.66 tff(2250,plain,
% 33.03/21.66 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | (~v130(constB13, bitIndex2))),
% 33.03/21.66 inference(modus_ponens,[status(thm)],[2249, 2248])).
% 33.03/21.66 tff(2251,plain,
% 33.03/21.66 (~v130(constB13, bitIndex2)),
% 33.03/21.66 inference(unit_resolution,[status(thm)],[2250, 2244, 2234, 2220, 2209, 2198, 2187, 2135])).
% 33.03/21.66 tff(2252,plain,
% 33.03/21.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))),
% 33.03/21.66 inference(rewrite,[status(thm)],[])).
% 33.03/21.66 tff(2253,plain,
% 33.03/21.66 ((v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2))) <=> ((~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))),
% 33.03/21.66 inference(rewrite,[status(thm)],[])).
% 33.03/21.66 tff(2254,plain,
% 33.03/21.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2)))),
% 33.03/21.66 inference(monotonicity,[status(thm)],[2253])).
% 33.03/21.66 tff(2255,plain,
% 33.03/21.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))),
% 33.03/21.66 inference(transitivity,[status(thm)],[2254, 2252])).
% 33.03/21.66 tff(2256,plain,
% 33.03/21.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2)))),
% 33.03/21.66 inference(quant_inst,[status(thm)],[])).
% 33.03/21.66 tff(2257,plain,
% 33.03/21.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2)),
% 33.03/21.66 inference(modus_ponens,[status(thm)],[2256, 2255])).
% 33.03/21.66 tff(2258,plain,
% 33.03/21.66 ((~v127(constB13, bitIndex2)) | v26(constB13)),
% 33.03/21.66 inference(unit_resolution,[status(thm)],[2257, 689, 2251])).
% 33.03/21.66 tff(2259,plain,
% 33.03/21.66 (~v127(constB13, bitIndex2)),
% 33.03/21.66 inference(unit_resolution,[status(thm)],[2258, 345])).
% 33.03/21.66 tff(2260,plain,
% 33.03/21.66 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 33.03/21.66 inference(rewrite,[status(thm)],[])).
% 33.03/21.66 tff(2261,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 33.03/21.66 tff(2262,plain,
% 33.03/21.66 (nextState(constB13, constB14)),
% 33.03/21.66 inference(modus_ponens,[status(thm)],[2261, 2260])).
% 33.03/21.66 tff(2263,plain,
% 33.03/21.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2)))),
% 33.03/21.66 inference(rewrite,[status(thm)],[])).
% 33.03/21.66 tff(2264,plain,
% 33.03/21.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2)))),
% 33.03/21.66 inference(quant_inst,[status(thm)],[])).
% 33.03/21.66 tff(2265,plain,
% 33.03/21.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2))),
% 33.03/21.66 inference(modus_ponens,[status(thm)],[2264, 2263])).
% 33.03/21.66 tff(2266,plain,
% 33.03/21.66 (v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2))),
% 33.03/21.66 inference(unit_resolution,[status(thm)],[2265, 707, 2262])).
% 33.03/21.66 tff(2267,plain,
% 33.03/21.66 (~v129(constB14, bitIndex2)),
% 33.03/21.66 inference(unit_resolution,[status(thm)],[2266, 2259])).
% 33.03/21.66 tff(2268,plain,
% 33.03/21.66 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 33.03/21.66 inference(bind,[status(th)],[])).
% 33.03/21.66 tff(2269,plain,
% 33.03/21.66 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 33.03/21.66 inference(quant_intro,[status(thm)],[2268])).
% 33.03/21.66 tff(2270,plain,
% 33.03/21.66 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 33.03/21.66 inference(rewrite,[status(thm)],[])).
% 33.03/21.66 tff(2271,plain,
% 33.03/21.66 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 33.03/21.66 inference(bind,[status(th)],[])).
% 33.03/21.66 tff(2272,plain,
% 33.03/21.66 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 33.03/21.66 inference(quant_intro,[status(thm)],[2271])).
% 33.03/21.66 tff(2273,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 33.03/21.66 tff(2274,plain,
% 33.03/21.66 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 33.03/21.66 inference(modus_ponens,[status(thm)],[2273, 2272])).
% 33.03/21.66 tff(2275,plain,
% 33.03/21.66 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 33.03/21.66 inference(modus_ponens,[status(thm)],[2274, 2270])).
% 33.03/21.66 tff(2276,plain,(
% 33.03/21.66 ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 33.03/21.66 inference(skolemize,[status(sab)],[2275])).
% 33.03/21.66 tff(2277,plain,
% 33.03/21.66 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 33.03/21.66 inference(modus_ponens,[status(thm)],[2276, 2269])).
% 33.03/21.66 tff(2278,plain,
% 33.03/21.66 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB11)) | (~v130(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB11)) | (~v130(constB11, bitIndex0)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2279,plain,
% 33.07/21.66 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB11)) | (~v130(constB11, bitIndex0)))),
% 33.07/21.66 inference(quant_inst,[status(thm)],[])).
% 33.07/21.66 tff(2280,plain,
% 33.07/21.66 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB11)) | (~v130(constB11, bitIndex0))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2279, 2278])).
% 33.07/21.66 tff(2281,plain,
% 33.07/21.66 (~v130(constB11, bitIndex0)),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2280, 2277, 1998])).
% 33.07/21.66 tff(2282,plain,
% 33.07/21.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2283,plain,
% 33.07/21.66 ((v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0))) <=> ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2284,plain,
% 33.07/21.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)))),
% 33.07/21.66 inference(monotonicity,[status(thm)],[2283])).
% 33.07/21.66 tff(2285,plain,
% 33.07/21.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 33.07/21.66 inference(transitivity,[status(thm)],[2284, 2282])).
% 33.07/21.66 tff(2286,plain,
% 33.07/21.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))),
% 33.07/21.66 inference(quant_inst,[status(thm)],[])).
% 33.07/21.66 tff(2287,plain,
% 33.07/21.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2286, 2285])).
% 33.07/21.66 tff(2288,plain,
% 33.07/21.66 ((~v127(constB11, bitIndex0)) | v26(constB11)),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2287, 1182, 2281])).
% 33.07/21.66 tff(2289,plain,
% 33.07/21.66 (~v127(constB11, bitIndex0)),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2288, 349])).
% 33.07/21.66 tff(2290,plain,
% 33.07/21.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2291,plain,
% 33.07/21.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 33.07/21.66 inference(quant_inst,[status(thm)],[])).
% 33.07/21.66 tff(2292,plain,
% 33.07/21.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2291, 2290])).
% 33.07/21.66 tff(2293,plain,
% 33.07/21.66 (v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2292, 1200, 2025])).
% 33.07/21.66 tff(2294,plain,
% 33.07/21.66 (~v129(constB12, bitIndex0)),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2293, 2289])).
% 33.07/21.66 tff(2295,plain,
% 33.07/21.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2296,plain,
% 33.07/21.66 (((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0)) <=> ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2297,plain,
% 33.07/21.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))))),
% 33.07/21.66 inference(monotonicity,[status(thm)],[2296])).
% 33.07/21.66 tff(2298,plain,
% 33.07/21.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 33.07/21.66 inference(transitivity,[status(thm)],[2297, 2295])).
% 33.07/21.66 tff(2299,plain,
% 33.07/21.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))),
% 33.07/21.66 inference(quant_inst,[status(thm)],[])).
% 33.07/21.66 tff(2300,plain,
% 33.07/21.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2299, 2298])).
% 33.07/21.66 tff(2301,plain,
% 33.07/21.66 ((~v90(constB12, bitIndex0)) | (~v100(constB12))),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2300, 1215, 2294])).
% 33.07/21.66 tff(2302,plain,
% 33.07/21.66 (~v90(constB12, bitIndex0)),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2301, 2065])).
% 33.07/21.66 tff(2303,plain,
% 33.07/21.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2304,plain,
% 33.07/21.66 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))) <=> (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2305,plain,
% 33.07/21.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0))))),
% 33.07/21.66 inference(monotonicity,[status(thm)],[2304])).
% 33.07/21.66 tff(2306,plain,
% 33.07/21.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 33.07/21.66 inference(transitivity,[status(thm)],[2305, 2303])).
% 33.07/21.66 tff(2307,plain,
% 33.07/21.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 33.07/21.66 inference(quant_inst,[status(thm)],[])).
% 33.07/21.66 tff(2308,plain,
% 33.07/21.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2307, 2306])).
% 33.07/21.66 tff(2309,plain,
% 33.07/21.66 (v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2308, 455, 2103])).
% 33.07/21.66 tff(2310,plain,
% 33.07/21.66 (v90(constB12, bitIndex0) | (~v90(constB13, bitIndex0))),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2309, 2115])).
% 33.07/21.66 tff(2311,plain,
% 33.07/21.66 (~v90(constB13, bitIndex0)),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2310, 2302])).
% 33.07/21.66 tff(2312,plain,
% 33.07/21.66 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)))),
% 33.07/21.66 inference(bind,[status(th)],[])).
% 33.07/21.66 tff(2313,plain,
% 33.07/21.66 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 33.07/21.66 inference(quant_intro,[status(thm)],[2312])).
% 33.07/21.66 tff(2314,plain,
% 33.07/21.66 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2315,plain,
% 33.07/21.66 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))), ((((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0)) <=> (((~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) | v90(VarCurr, bitIndex0)))), rewrite((((~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))), ((((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))))),
% 33.07/21.66 inference(bind,[status(th)],[])).
% 33.07/21.66 tff(2316,plain,
% 33.07/21.66 (![VarCurr: $i] : (((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 33.07/21.66 inference(quant_intro,[status(thm)],[2315])).
% 33.07/21.66 tff(2317,axiom,(![VarCurr: $i] : (((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 33.07/21.66 tff(2318,plain,
% 33.07/21.66 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 33.07/21.66 tff(2319,plain,
% 33.07/21.66 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2318, 2314])).
% 33.07/21.66 tff(2320,plain,(
% 33.07/21.66 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 33.07/21.66 inference(skolemize,[status(sab)],[2319])).
% 33.07/21.66 tff(2321,plain,
% 33.07/21.66 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2320, 2313])).
% 33.07/21.66 tff(2322,plain,
% 33.07/21.66 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2323,plain,
% 33.07/21.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13))),
% 33.07/21.66 inference(quant_inst,[status(thm)],[])).
% 33.07/21.66 tff(2324,plain,
% 33.07/21.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13)),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2323, 2322])).
% 33.07/21.66 tff(2325,plain,
% 33.07/21.66 (v125(constB13)),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2324, 2321, 2311, 2176, 2124])).
% 33.07/21.66 tff(2326,plain,
% 33.07/21.66 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v125(VarCurr))) <=> (v113(VarCurr) | (~v125(VarCurr))))),
% 33.07/21.66 inference(bind,[status(th)],[])).
% 33.07/21.66 tff(2327,plain,
% 33.07/21.66 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 33.07/21.66 inference(quant_intro,[status(thm)],[2326])).
% 33.07/21.66 tff(2328,plain,
% 33.07/21.66 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2329,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 33.07/21.66 tff(2330,plain,
% 33.07/21.66 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2329, 2328])).
% 33.07/21.66 tff(2331,plain,(
% 33.07/21.66 ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 33.07/21.66 inference(skolemize,[status(sab)],[2330])).
% 33.07/21.66 tff(2332,plain,
% 33.07/21.66 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2331, 2327])).
% 33.07/21.66 tff(2333,plain,
% 33.07/21.66 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB13) | (~v125(constB13)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB13) | (~v125(constB13)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2334,plain,
% 33.07/21.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB13) | (~v125(constB13)))),
% 33.07/21.66 inference(quant_inst,[status(thm)],[])).
% 33.07/21.66 tff(2335,plain,
% 33.07/21.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB13) | (~v125(constB13))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2334, 2333])).
% 33.07/21.66 tff(2336,plain,
% 33.07/21.66 (v113(constB13)),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2335, 2332, 2325])).
% 33.07/21.66 tff(2337,assumption,(~v108(constB13)), introduced(assumption)).
% 33.07/21.66 tff(2338,plain,
% 33.07/21.66 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB13) | (~v112(constB13)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB13) | (~v112(constB13)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2339,plain,
% 33.07/21.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB13) | (~v112(constB13)))),
% 33.07/21.66 inference(quant_inst,[status(thm)],[])).
% 33.07/21.66 tff(2340,plain,
% 33.07/21.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB13) | (~v112(constB13))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 33.07/21.66 tff(2341,plain,
% 33.07/21.66 (~v112(constB13)),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2340, 568, 2337])).
% 33.07/21.66 tff(2342,plain,
% 33.07/21.66 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v26(VarCurr))) <=> (v108(VarCurr) | (~v26(VarCurr))))),
% 33.07/21.66 inference(bind,[status(th)],[])).
% 33.07/21.66 tff(2343,plain,
% 33.07/21.66 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 33.07/21.66 inference(quant_intro,[status(thm)],[2342])).
% 33.07/21.66 tff(2344,plain,
% 33.07/21.66 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2345,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 33.07/21.66 tff(2346,plain,
% 33.07/21.66 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2345, 2344])).
% 33.07/21.66 tff(2347,plain,(
% 33.07/21.66 ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 33.07/21.66 inference(skolemize,[status(sab)],[2346])).
% 33.07/21.66 tff(2348,plain,
% 33.07/21.66 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2347, 2343])).
% 33.07/21.66 tff(2349,plain,
% 33.07/21.66 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB13) | (~v26(constB13)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB13) | (~v26(constB13)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2350,plain,
% 33.07/21.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB13) | (~v26(constB13)))),
% 33.07/21.66 inference(quant_inst,[status(thm)],[])).
% 33.07/21.66 tff(2351,plain,
% 33.07/21.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB13) | (~v26(constB13))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2350, 2349])).
% 33.07/21.66 tff(2352,plain,
% 33.07/21.66 (~v26(constB13)),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2351, 2348, 2337])).
% 33.07/21.66 tff(2353,assumption,(v113(constB13)), introduced(assumption)).
% 33.07/21.66 tff(2354,plain,
% 33.07/21.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | v112(constB13) | (~v113(constB13)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2355,plain,
% 33.07/21.66 ((v26(constB13) | (~v113(constB13)) | v112(constB13)) <=> (v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2356,plain,
% 33.07/21.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | v112(constB13) | (~v113(constB13))))),
% 33.07/21.66 inference(monotonicity,[status(thm)],[2355])).
% 33.07/21.66 tff(2357,plain,
% 33.07/21.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 33.07/21.66 inference(transitivity,[status(thm)],[2356, 2354])).
% 33.07/21.66 tff(2358,plain,
% 33.07/21.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 33.07/21.66 inference(quant_inst,[status(thm)],[])).
% 33.07/21.66 tff(2359,plain,
% 33.07/21.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 33.07/21.66 tff(2360,plain,
% 33.07/21.66 (v26(constB13) | v112(constB13)),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2359, 556, 2353])).
% 33.07/21.66 tff(2361,plain,
% 33.07/21.66 ($false),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2360, 2352, 2341])).
% 33.07/21.66 tff(2362,plain,(v108(constB13) | (~v113(constB13))), inference(lemma,lemma(discharge,[]))).
% 33.07/21.66 tff(2363,plain,
% 33.07/21.66 (v108(constB13)),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2362, 2336])).
% 33.07/21.66 tff(2364,plain,
% 33.07/21.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2365,plain,
% 33.07/21.66 (((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14)) <=> ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2366,plain,
% 33.07/21.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))))),
% 33.07/21.66 inference(monotonicity,[status(thm)],[2365])).
% 33.07/21.66 tff(2367,plain,
% 33.07/21.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 33.07/21.66 inference(transitivity,[status(thm)],[2366, 2364])).
% 33.07/21.66 tff(2368,plain,
% 33.07/21.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))),
% 33.07/21.66 inference(quant_inst,[status(thm)],[])).
% 33.07/21.66 tff(2369,plain,
% 33.07/21.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2368, 2367])).
% 33.07/21.66 tff(2370,plain,
% 33.07/21.66 (v110(constB14) | (~v108(constB13))),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2369, 585, 2262])).
% 33.07/21.66 tff(2371,plain,
% 33.07/21.66 (v110(constB14)),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2370, 2363])).
% 33.07/21.66 tff(2372,plain,
% 33.07/21.66 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2373,plain,
% 33.07/21.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 33.07/21.66 inference(quant_inst,[status(thm)],[])).
% 33.07/21.66 tff(2374,plain,
% 33.07/21.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14))),
% 33.07/21.66 inference(modus_ponens,[status(thm)],[2373, 2372])).
% 33.07/21.66 tff(2375,plain,
% 33.07/21.66 (~v104(constB14)),
% 33.07/21.66 inference(unit_resolution,[status(thm)],[2374, 603, 2262, 2100])).
% 33.07/21.66 tff(2376,plain,
% 33.07/21.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2377,plain,
% 33.07/21.66 (((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14)) <=> ((~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))),
% 33.07/21.66 inference(rewrite,[status(thm)],[])).
% 33.07/21.66 tff(2378,plain,
% 33.07/21.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | v102(constB14)))),
% 33.07/21.66 inference(monotonicity,[status(thm)],[2377])).
% 33.07/21.66 tff(2379,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))),
% 33.07/21.67 inference(transitivity,[status(thm)],[2378, 2376])).
% 33.07/21.67 tff(2380,plain,
% 33.07/21.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 33.07/21.67 inference(quant_inst,[status(thm)],[])).
% 33.07/21.67 tff(2381,plain,
% 33.07/21.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | v102(constB14)),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2380, 2379])).
% 33.07/21.67 tff(2382,plain,
% 33.07/21.67 (v104(constB14) | v102(constB14)),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2381, 617, 2262])).
% 33.07/21.67 tff(2383,plain,
% 33.07/21.67 (v102(constB14)),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2382, 2375])).
% 33.07/21.67 tff(2384,plain,
% 33.07/21.67 (v1(constB14) <=> v1(constB14)),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2385,axiom,(v1(constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 33.07/21.67 tff(2386,plain,
% 33.07/21.67 (v1(constB14)),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2385, 2384])).
% 33.07/21.67 tff(2387,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2388,plain,
% 33.07/21.67 (((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14))) <=> ((~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2389,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14))))),
% 33.07/21.67 inference(monotonicity,[status(thm)],[2388])).
% 33.07/21.67 tff(2390,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))),
% 33.07/21.67 inference(transitivity,[status(thm)],[2389, 2387])).
% 33.07/21.67 tff(2391,plain,
% 33.07/21.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 33.07/21.67 inference(quant_inst,[status(thm)],[])).
% 33.07/21.67 tff(2392,plain,
% 33.07/21.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14))),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2391, 2390])).
% 33.07/21.67 tff(2393,plain,
% 33.07/21.67 (v101(constB14) | (~v102(constB14))),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2392, 638, 2262, 2386])).
% 33.07/21.67 tff(2394,plain,
% 33.07/21.67 (v101(constB14)),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2393, 2383])).
% 33.07/21.67 tff(2395,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2396,plain,
% 33.07/21.67 (((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14)) <=> ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2397,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))))),
% 33.07/21.67 inference(monotonicity,[status(thm)],[2396])).
% 33.07/21.67 tff(2398,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 33.07/21.67 inference(transitivity,[status(thm)],[2397, 2395])).
% 33.07/21.67 tff(2399,plain,
% 33.07/21.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))),
% 33.07/21.67 inference(quant_inst,[status(thm)],[])).
% 33.07/21.67 tff(2400,plain,
% 33.07/21.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2399, 2398])).
% 33.07/21.67 tff(2401,plain,
% 33.07/21.67 (v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2400, 656, 2262])).
% 33.07/21.67 tff(2402,plain,
% 33.07/21.67 (v100(constB14) | (~v110(constB14))),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2401, 2394])).
% 33.07/21.67 tff(2403,plain,
% 33.07/21.67 (v100(constB14)),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2402, 2371])).
% 33.07/21.67 tff(2404,plain,
% 33.07/21.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2405,plain,
% 33.07/21.67 (((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2)) <=> ((~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2406,plain,
% 33.07/21.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14))))),
% 33.07/21.67 inference(monotonicity,[status(thm)],[2405])).
% 33.07/21.67 tff(2407,plain,
% 33.07/21.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))),
% 33.07/21.67 inference(transitivity,[status(thm)],[2406, 2404])).
% 33.07/21.67 tff(2408,plain,
% 33.07/21.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2))),
% 33.07/21.67 inference(quant_inst,[status(thm)],[])).
% 33.07/21.67 tff(2409,plain,
% 33.07/21.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14))),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2408, 2407])).
% 33.07/21.67 tff(2410,plain,
% 33.07/21.67 ((~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2)),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2409, 722, 2403])).
% 33.07/21.67 tff(2411,plain,
% 33.07/21.67 (~v90(constB14, bitIndex2)),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2410, 2267])).
% 33.07/21.67 tff(2412,plain,
% 33.07/21.67 ((~v1(constB15)) <=> (~v1(constB15))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2413,axiom,(~v1(constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 33.07/21.67 tff(2414,plain,
% 33.07/21.67 (~v1(constB15)),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2413, 2412])).
% 33.07/21.67 tff(2415,plain,
% 33.07/21.67 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2416,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 33.07/21.67 tff(2417,plain,
% 33.07/21.67 (nextState(constB14, constB15)),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2416, 2415])).
% 33.07/21.67 tff(2418,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2419,plain,
% 33.07/21.67 (((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2420,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))))),
% 33.07/21.67 inference(monotonicity,[status(thm)],[2419])).
% 33.07/21.67 tff(2421,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 33.07/21.67 inference(transitivity,[status(thm)],[2420, 2418])).
% 33.07/21.67 tff(2422,plain,
% 33.07/21.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))),
% 33.07/21.67 inference(quant_inst,[status(thm)],[])).
% 33.07/21.67 tff(2423,plain,
% 33.07/21.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 33.07/21.67 tff(2424,plain,
% 33.07/21.67 (~v101(constB15)),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2423, 381, 2417, 2414])).
% 33.07/21.67 tff(2425,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2426,plain,
% 33.07/21.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 33.07/21.67 inference(quant_inst,[status(thm)],[])).
% 33.07/21.67 tff(2427,plain,
% 33.07/21.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15))),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 33.07/21.67 tff(2428,plain,
% 33.07/21.67 (v101(constB15) | (~v100(constB15))),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2427, 398, 2417])).
% 33.07/21.67 tff(2429,plain,
% 33.07/21.67 (~v100(constB15)),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2428, 2424])).
% 33.07/21.67 tff(2430,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2431,plain,
% 33.07/21.67 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2))) <=> (v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2432,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2))))),
% 33.07/21.67 inference(monotonicity,[status(thm)],[2431])).
% 33.07/21.67 tff(2433,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 33.07/21.67 inference(transitivity,[status(thm)],[2432, 2430])).
% 33.07/21.67 tff(2434,plain,
% 33.07/21.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 33.07/21.67 inference(quant_inst,[status(thm)],[])).
% 33.07/21.67 tff(2435,plain,
% 33.07/21.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2))),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 33.07/21.67 tff(2436,plain,
% 33.07/21.67 (v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2))),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2435, 413, 2417])).
% 33.07/21.67 tff(2437,plain,
% 33.07/21.67 (v90(constB14, bitIndex2) | (~v90(constB15, bitIndex2))),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2436, 2429])).
% 33.07/21.67 tff(2438,plain,
% 33.07/21.67 (~v90(constB15, bitIndex2)),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2437, 2411])).
% 33.07/21.67 tff(2439,plain,
% 33.07/21.67 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))),
% 33.07/21.67 inference(bind,[status(th)],[])).
% 33.07/21.67 tff(2440,plain,
% 33.07/21.67 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 33.07/21.67 inference(quant_intro,[status(thm)],[2439])).
% 33.07/21.67 tff(2441,plain,
% 33.07/21.67 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2442,plain,
% 33.07/21.67 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) <=> (v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) <=> ((v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v123(VarCurr)))), rewrite(((v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), (((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> ((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v122(VarCurr)))), rewrite(((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), (((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), ((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> ((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v121(VarCurr)))), rewrite(((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> ((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v120(VarCurr)))), rewrite(((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), ((((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v119(VarCurr)))), rewrite(((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))))),
% 33.07/21.67 inference(bind,[status(th)],[])).
% 33.07/21.67 tff(2443,plain,
% 33.07/21.67 (![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 33.07/21.67 inference(quant_intro,[status(thm)],[2442])).
% 33.07/21.67 tff(2444,axiom,(![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_2')).
% 33.07/21.67 tff(2445,plain,
% 33.07/21.67 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2444, 2443])).
% 33.07/21.67 tff(2446,plain,
% 33.07/21.67 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2445, 2441])).
% 33.07/21.67 tff(2447,plain,(
% 33.07/21.67 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 33.07/21.67 inference(skolemize,[status(sab)],[2446])).
% 33.07/21.67 tff(2448,plain,
% 33.07/21.67 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2447, 2440])).
% 33.07/21.67 tff(2449,plain,
% 33.07/21.67 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2450,plain,
% 33.07/21.67 ((v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1))) <=> (v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2451,plain,
% 33.07/21.67 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | (~v130(constB13, bitIndex1))))),
% 33.07/21.67 inference(monotonicity,[status(thm)],[2450])).
% 33.07/21.67 tff(2452,plain,
% 33.07/21.67 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))),
% 33.07/21.67 inference(transitivity,[status(thm)],[2451, 2449])).
% 33.07/21.67 tff(2453,plain,
% 33.07/21.67 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))),
% 33.07/21.67 inference(quant_inst,[status(thm)],[])).
% 33.07/21.67 tff(2454,plain,
% 33.07/21.67 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | (~v130(constB13, bitIndex1))),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2453, 2452])).
% 33.07/21.67 tff(2455,plain,
% 33.07/21.67 (~v130(constB13, bitIndex1)),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2454, 2448, 2234, 2220, 2209, 2198, 2187, 2135])).
% 33.07/21.67 tff(2456,plain,
% 33.07/21.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2457,plain,
% 33.07/21.67 ((v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1))) <=> ((~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2458,plain,
% 33.07/21.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1)))),
% 33.07/21.67 inference(monotonicity,[status(thm)],[2457])).
% 33.07/21.67 tff(2459,plain,
% 33.07/21.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))),
% 33.07/21.67 inference(transitivity,[status(thm)],[2458, 2456])).
% 33.07/21.67 tff(2460,plain,
% 33.07/21.67 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1)))),
% 33.07/21.67 inference(quant_inst,[status(thm)],[])).
% 33.07/21.67 tff(2461,plain,
% 33.07/21.67 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1)),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2460, 2459])).
% 33.07/21.67 tff(2462,plain,
% 33.07/21.67 ((~v127(constB13, bitIndex1)) | v26(constB13)),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2461, 781, 2455])).
% 33.07/21.67 tff(2463,plain,
% 33.07/21.67 (~v127(constB13, bitIndex1)),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2462, 345])).
% 33.07/21.67 tff(2464,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2465,plain,
% 33.07/21.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1)))),
% 33.07/21.67 inference(quant_inst,[status(thm)],[])).
% 33.07/21.67 tff(2466,plain,
% 33.07/21.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1))),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 33.07/21.67 tff(2467,plain,
% 33.07/21.67 (v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1))),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2466, 799, 2262])).
% 33.07/21.67 tff(2468,plain,
% 33.07/21.67 (~v129(constB14, bitIndex1)),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2467, 2463])).
% 33.07/21.67 tff(2469,plain,
% 33.07/21.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2470,plain,
% 33.07/21.67 (((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1)) <=> ((~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2471,plain,
% 33.07/21.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14))))),
% 33.07/21.67 inference(monotonicity,[status(thm)],[2470])).
% 33.07/21.67 tff(2472,plain,
% 33.07/21.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))),
% 33.07/21.67 inference(transitivity,[status(thm)],[2471, 2469])).
% 33.07/21.67 tff(2473,plain,
% 33.07/21.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1))),
% 33.07/21.67 inference(quant_inst,[status(thm)],[])).
% 33.07/21.67 tff(2474,plain,
% 33.07/21.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14))),
% 33.07/21.67 inference(modus_ponens,[status(thm)],[2473, 2472])).
% 33.07/21.67 tff(2475,plain,
% 33.07/21.67 ((~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1)),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2474, 814, 2403])).
% 33.07/21.67 tff(2476,plain,
% 33.07/21.67 (~v90(constB14, bitIndex1)),
% 33.07/21.67 inference(unit_resolution,[status(thm)],[2475, 2468])).
% 33.07/21.67 tff(2477,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2478,plain,
% 33.07/21.67 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1))) <=> (v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 33.07/21.67 inference(rewrite,[status(thm)],[])).
% 33.07/21.67 tff(2479,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1))))),
% 33.07/21.67 inference(monotonicity,[status(thm)],[2478])).
% 33.07/21.67 tff(2480,plain,
% 33.07/21.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 33.07/21.67 inference(transitivity,[status(thm)],[2479, 2477])).
% 33.07/21.67 tff(2481,plain,
% 33.07/21.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2482,plain,
% 33.07/21.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1))),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2481, 2480])).
% 33.07/21.68 tff(2483,plain,
% 33.07/21.68 (v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1))),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2482, 434, 2417])).
% 33.07/21.68 tff(2484,plain,
% 33.07/21.68 (v90(constB14, bitIndex1) | (~v90(constB15, bitIndex1))),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2483, 2429])).
% 33.07/21.68 tff(2485,plain,
% 33.07/21.68 (~v90(constB15, bitIndex1)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2484, 2476])).
% 33.07/21.68 tff(2486,plain,
% 33.07/21.68 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))),
% 33.07/21.68 inference(bind,[status(th)],[])).
% 33.07/21.68 tff(2487,plain,
% 33.07/21.68 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 33.07/21.68 inference(quant_intro,[status(thm)],[2486])).
% 33.07/21.68 tff(2488,plain,
% 33.07/21.68 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2489,plain,
% 33.07/21.68 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((v130(VarCurr, bitIndex0) | v124(VarCurr)) <=> (v124(VarCurr) | v130(VarCurr, bitIndex0))), (((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) <=> ((v124(VarCurr) | v130(VarCurr, bitIndex0)) | v123(VarCurr)))), rewrite(((v124(VarCurr) | v130(VarCurr, bitIndex0)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), (((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), ((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> ((v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v122(VarCurr)))), rewrite(((v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), ((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), (((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> ((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v121(VarCurr)))), rewrite(((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), (((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> ((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v120(VarCurr)))), rewrite(((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), (((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v119(VarCurr)))), rewrite(((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), (((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))))),
% 33.07/21.68 inference(bind,[status(th)],[])).
% 33.07/21.68 tff(2490,plain,
% 33.07/21.68 (![VarCurr: $i] : ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 33.07/21.68 inference(quant_intro,[status(thm)],[2489])).
% 33.07/21.68 tff(2491,axiom,(![VarCurr: $i] : ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1')).
% 33.07/21.68 tff(2492,plain,
% 33.07/21.68 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2491, 2490])).
% 33.07/21.68 tff(2493,plain,
% 33.07/21.68 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2492, 2488])).
% 33.07/21.68 tff(2494,plain,(
% 33.07/21.68 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 33.07/21.68 inference(skolemize,[status(sab)],[2493])).
% 33.07/21.68 tff(2495,plain,
% 33.07/21.68 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2494, 2487])).
% 33.07/21.68 tff(2496,plain,
% 33.07/21.68 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | v130(constB13, bitIndex0))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2497,plain,
% 33.07/21.68 ((v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0)) <=> (v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | v130(constB13, bitIndex0))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2498,plain,
% 33.07/21.68 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | v130(constB13, bitIndex0)))),
% 33.07/21.68 inference(monotonicity,[status(thm)],[2497])).
% 33.07/21.68 tff(2499,plain,
% 33.07/21.68 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | v130(constB13, bitIndex0))),
% 33.07/21.68 inference(transitivity,[status(thm)],[2498, 2496])).
% 33.07/21.68 tff(2500,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2501,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB13) | v120(constB13) | v121(constB13) | v119(constB13) | v122(constB13) | v124(constB13) | v130(constB13, bitIndex0)),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2500, 2499])).
% 33.07/21.68 tff(2502,plain,
% 33.07/21.68 (v130(constB13, bitIndex0)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2501, 2495, 2234, 2220, 2209, 2198, 2187, 2135])).
% 33.07/21.68 tff(2503,plain,
% 33.07/21.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2504,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2505,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0)),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2504, 2503])).
% 33.07/21.68 tff(2506,plain,
% 33.07/21.68 (v26(constB13) | v127(constB13, bitIndex0)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2505, 855, 2502])).
% 33.07/21.68 tff(2507,plain,
% 33.07/21.68 (v127(constB13, bitIndex0)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2506, 345])).
% 33.07/21.68 tff(2508,plain,
% 33.07/21.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2509,plain,
% 33.07/21.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2510,plain,
% 33.07/21.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0)),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2509, 2508])).
% 33.07/21.68 tff(2511,plain,
% 33.07/21.68 ((~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2510, 870, 2262])).
% 33.07/21.68 tff(2512,plain,
% 33.07/21.68 (v129(constB14, bitIndex0)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2511, 2507])).
% 33.07/21.68 tff(2513,plain,
% 33.07/21.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2514,plain,
% 33.07/21.68 ((v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0))) <=> (v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2515,plain,
% 33.07/21.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14))))),
% 33.07/21.68 inference(monotonicity,[status(thm)],[2514])).
% 33.07/21.68 tff(2516,plain,
% 33.07/21.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))),
% 33.07/21.68 inference(transitivity,[status(thm)],[2515, 2513])).
% 33.07/21.68 tff(2517,plain,
% 33.07/21.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0)))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2518,plain,
% 33.07/21.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14))),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2517, 2516])).
% 33.07/21.68 tff(2519,plain,
% 33.07/21.68 (v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0))),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2518, 885, 2403])).
% 33.07/21.68 tff(2520,plain,
% 33.07/21.68 (v90(constB14, bitIndex0)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2519, 2512])).
% 33.07/21.68 tff(2521,plain,
% 33.07/21.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2522,plain,
% 33.07/21.68 (((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0)) <=> ((~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2523,plain,
% 33.07/21.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0)))),
% 33.07/21.68 inference(monotonicity,[status(thm)],[2522])).
% 33.07/21.68 tff(2524,plain,
% 33.07/21.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))),
% 33.07/21.68 inference(transitivity,[status(thm)],[2523, 2521])).
% 33.07/21.68 tff(2525,plain,
% 33.07/21.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2526,plain,
% 33.07/21.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0)),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2525, 2524])).
% 33.07/21.68 tff(2527,plain,
% 33.07/21.68 ((~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2526, 903, 2417])).
% 33.07/21.68 tff(2528,plain,
% 33.07/21.68 ((~v90(constB14, bitIndex0)) | v90(constB15, bitIndex0)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2527, 2429])).
% 33.07/21.68 tff(2529,plain,
% 33.07/21.68 (v90(constB15, bitIndex0)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2528, 2520])).
% 33.07/21.68 tff(2530,plain,
% 33.07/21.68 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2531,plain,
% 33.07/21.68 (((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2)) <=> ((~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2532,plain,
% 33.07/21.68 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15)))),
% 33.07/21.68 inference(monotonicity,[status(thm)],[2531])).
% 33.07/21.68 tff(2533,plain,
% 33.07/21.68 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))),
% 33.07/21.68 inference(transitivity,[status(thm)],[2532, 2530])).
% 33.07/21.68 tff(2534,plain,
% 33.07/21.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2535,plain,
% 33.07/21.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15)),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2534, 2533])).
% 33.07/21.68 tff(2536,plain,
% 33.07/21.68 (v120(constB15)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2535, 922, 2529, 2485, 2438])).
% 33.07/21.68 tff(2537,plain,
% 33.07/21.68 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB15) | (~v120(constB15)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB15) | (~v120(constB15)))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2538,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB15) | (~v120(constB15)))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2539,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB15) | (~v120(constB15))),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2538, 2537])).
% 33.07/21.68 tff(2540,plain,
% 33.07/21.68 (v118(constB15)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2539, 936, 2536])).
% 33.07/21.68 tff(2541,plain,
% 33.07/21.68 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB15) | (~v118(constB15)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB15) | (~v118(constB15)))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2542,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB15) | (~v118(constB15)))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2543,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB15) | (~v118(constB15))),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2542, 2541])).
% 33.07/21.68 tff(2544,plain,
% 33.07/21.68 (v117(constB15)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2543, 498, 2540])).
% 33.07/21.68 tff(2545,plain,
% 33.07/21.68 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB15) | (~v117(constB15)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB15) | (~v117(constB15)))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2546,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB15) | (~v117(constB15)))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2547,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB15) | (~v117(constB15))),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2546, 2545])).
% 33.07/21.68 tff(2548,plain,
% 33.07/21.68 (v116(constB15)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2547, 509, 2544])).
% 33.07/21.68 tff(2549,plain,
% 33.07/21.68 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB15) | (~v116(constB15)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB15) | (~v116(constB15)))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2550,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB15) | (~v116(constB15)))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2551,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB15) | (~v116(constB15))),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2550, 2549])).
% 33.07/21.68 tff(2552,plain,
% 33.07/21.68 (v115(constB15)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2551, 520, 2548])).
% 33.07/21.68 tff(2553,plain,
% 33.07/21.68 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB15) | (~v115(constB15)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB15) | (~v115(constB15)))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2554,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB15) | (~v115(constB15)))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2555,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB15) | (~v115(constB15))),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2554, 2553])).
% 33.07/21.68 tff(2556,plain,
% 33.07/21.68 (v114(constB15)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2555, 531, 2552])).
% 33.07/21.68 tff(2557,plain,
% 33.07/21.68 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB15) | (~v114(constB15)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB15) | (~v114(constB15)))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2558,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB15) | (~v114(constB15)))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2559,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB15) | (~v114(constB15))),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2558, 2557])).
% 33.07/21.68 tff(2560,plain,
% 33.07/21.68 (v113(constB15)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2559, 542, 2556])).
% 33.07/21.68 tff(2561,assumption,(v26(constB15)), introduced(assumption)).
% 33.07/21.68 tff(2562,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB15))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2563,plain,
% 33.07/21.68 ($false),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2562, 120, 2561])).
% 33.07/21.68 tff(2564,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 33.07/21.68 tff(2565,plain,
% 33.07/21.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2566,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2567,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | (~v113(constB15)) | v112(constB15)),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2566, 2565])).
% 33.07/21.68 tff(2568,plain,
% 33.07/21.68 ((~v113(constB15)) | v112(constB15)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2567, 556, 2564])).
% 33.07/21.68 tff(2569,plain,
% 33.07/21.68 (v112(constB15)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2568, 2560])).
% 33.07/21.68 tff(2570,plain,
% 33.07/21.68 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB15) | (~v112(constB15)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB15) | (~v112(constB15)))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2571,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB15) | (~v112(constB15)))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2572,plain,
% 33.07/21.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB15) | (~v112(constB15))),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2571, 2570])).
% 33.07/21.68 tff(2573,plain,
% 33.07/21.68 (v108(constB15)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2572, 568, 2569])).
% 33.07/21.68 tff(2574,plain,
% 33.07/21.68 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2575,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 33.07/21.68 tff(2576,plain,
% 33.07/21.68 (nextState(constB15, constB16)),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2575, 2574])).
% 33.07/21.68 tff(2577,plain,
% 33.07/21.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2578,plain,
% 33.07/21.68 (((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16)) <=> ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2579,plain,
% 33.07/21.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))))),
% 33.07/21.68 inference(monotonicity,[status(thm)],[2578])).
% 33.07/21.68 tff(2580,plain,
% 33.07/21.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 33.07/21.68 inference(transitivity,[status(thm)],[2579, 2577])).
% 33.07/21.68 tff(2581,plain,
% 33.07/21.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2582,plain,
% 33.07/21.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2581, 2580])).
% 33.07/21.68 tff(2583,plain,
% 33.07/21.68 (v110(constB16) | (~v108(constB15))),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2582, 585, 2576])).
% 33.07/21.68 tff(2584,plain,
% 33.07/21.68 (v110(constB16)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2583, 2573])).
% 33.07/21.68 tff(2585,plain,
% 33.07/21.68 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2586,plain,
% 33.07/21.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2587,plain,
% 33.07/21.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16))),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2586, 2585])).
% 33.07/21.68 tff(2588,plain,
% 33.07/21.68 (~v104(constB16)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2587, 603, 2576, 2414])).
% 33.07/21.68 tff(2589,plain,
% 33.07/21.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2590,plain,
% 33.07/21.68 (((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16)) <=> ((~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2591,plain,
% 33.07/21.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | v102(constB16)))),
% 33.07/21.68 inference(monotonicity,[status(thm)],[2590])).
% 33.07/21.68 tff(2592,plain,
% 33.07/21.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))),
% 33.07/21.68 inference(transitivity,[status(thm)],[2591, 2589])).
% 33.07/21.68 tff(2593,plain,
% 33.07/21.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 33.07/21.68 inference(quant_inst,[status(thm)],[])).
% 33.07/21.68 tff(2594,plain,
% 33.07/21.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | v102(constB16)),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2593, 2592])).
% 33.07/21.68 tff(2595,plain,
% 33.07/21.68 (v104(constB16) | v102(constB16)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2594, 617, 2576])).
% 33.07/21.68 tff(2596,plain,
% 33.07/21.68 (v102(constB16)),
% 33.07/21.68 inference(unit_resolution,[status(thm)],[2595, 2588])).
% 33.07/21.68 tff(2597,plain,
% 33.07/21.68 (v1(constB16) <=> v1(constB16)),
% 33.07/21.68 inference(rewrite,[status(thm)],[])).
% 33.07/21.68 tff(2598,axiom,(v1(constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 33.07/21.68 tff(2599,plain,
% 33.07/21.68 (v1(constB16)),
% 33.07/21.68 inference(modus_ponens,[status(thm)],[2598, 2597])).
% 33.07/21.68 tff(2600,plain,
% 33.07/21.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2601,plain,
% 33.07/21.69 (((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16))) <=> ((~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2602,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16))))),
% 33.07/21.69 inference(monotonicity,[status(thm)],[2601])).
% 33.07/21.69 tff(2603,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))),
% 33.07/21.69 inference(transitivity,[status(thm)],[2602, 2600])).
% 33.07/21.69 tff(2604,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2605,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16))),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2604, 2603])).
% 33.07/21.69 tff(2606,plain,
% 33.07/21.69 (v101(constB16) | (~v102(constB16))),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2605, 638, 2576, 2599])).
% 33.07/21.69 tff(2607,plain,
% 33.07/21.69 (v101(constB16)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2606, 2596])).
% 33.07/21.69 tff(2608,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2609,plain,
% 33.07/21.69 (((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16)) <=> ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2610,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))))),
% 33.07/21.69 inference(monotonicity,[status(thm)],[2609])).
% 33.07/21.69 tff(2611,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 33.07/21.69 inference(transitivity,[status(thm)],[2610, 2608])).
% 33.07/21.69 tff(2612,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2613,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2612, 2611])).
% 33.07/21.69 tff(2614,plain,
% 33.07/21.69 (v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2613, 656, 2576])).
% 33.07/21.69 tff(2615,plain,
% 33.07/21.69 (v100(constB16) | (~v110(constB16))),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2614, 2607])).
% 33.07/21.69 tff(2616,plain,
% 33.07/21.69 (v100(constB16)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2615, 2584])).
% 33.07/21.69 tff(2617,plain,
% 33.07/21.69 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB15)) | (~v130(constB15, bitIndex2)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2618,plain,
% 33.07/21.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex2)))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2619,plain,
% 33.07/21.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB15)) | (~v130(constB15, bitIndex2))),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2618, 2617])).
% 33.07/21.69 tff(2620,plain,
% 33.07/21.69 (~v130(constB15, bitIndex2)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2619, 1025, 2536])).
% 33.07/21.69 tff(2621,plain,
% 33.07/21.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2622,plain,
% 33.07/21.69 ((v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2))) <=> ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2623,plain,
% 33.07/21.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)))),
% 33.07/21.69 inference(monotonicity,[status(thm)],[2622])).
% 33.07/21.69 tff(2624,plain,
% 33.07/21.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 33.07/21.69 inference(transitivity,[status(thm)],[2623, 2621])).
% 33.07/21.69 tff(2625,plain,
% 33.07/21.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2626,plain,
% 33.07/21.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2625, 2624])).
% 33.07/21.69 tff(2627,plain,
% 33.07/21.69 ((~v127(constB15, bitIndex2)) | v130(constB15, bitIndex2)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2626, 689, 2564])).
% 33.07/21.69 tff(2628,plain,
% 33.07/21.69 (~v127(constB15, bitIndex2)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2627, 2620])).
% 33.07/21.69 tff(2629,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2630,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2631,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2630, 2629])).
% 33.07/21.69 tff(2632,plain,
% 33.07/21.69 (v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2631, 707, 2576])).
% 33.07/21.69 tff(2633,plain,
% 33.07/21.69 (~v129(constB16, bitIndex2)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2632, 2628])).
% 33.07/21.69 tff(2634,plain,
% 33.07/21.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2635,plain,
% 33.07/21.69 (((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2)) <=> ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2636,plain,
% 33.07/21.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16))))),
% 33.07/21.69 inference(monotonicity,[status(thm)],[2635])).
% 33.07/21.69 tff(2637,plain,
% 33.07/21.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 33.07/21.69 inference(transitivity,[status(thm)],[2636, 2634])).
% 33.07/21.69 tff(2638,plain,
% 33.07/21.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2639,plain,
% 33.07/21.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16))),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2638, 2637])).
% 33.07/21.69 tff(2640,plain,
% 33.07/21.69 ((~v90(constB16, bitIndex2)) | (~v100(constB16))),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2639, 722, 2633])).
% 33.07/21.69 tff(2641,plain,
% 33.07/21.69 (~v90(constB16, bitIndex2)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2640, 2616])).
% 33.07/21.69 tff(2642,plain,
% 33.07/21.69 ((~v1(constB17)) <=> (~v1(constB17))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2643,axiom,(~v1(constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 33.07/21.69 tff(2644,plain,
% 33.07/21.69 (~v1(constB17)),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2643, 2642])).
% 33.07/21.69 tff(2645,plain,
% 33.07/21.69 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2646,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 33.07/21.69 tff(2647,plain,
% 33.07/21.69 (nextState(constB16, constB17)),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2646, 2645])).
% 33.07/21.69 tff(2648,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2649,plain,
% 33.07/21.69 (((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2650,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))))),
% 33.07/21.69 inference(monotonicity,[status(thm)],[2649])).
% 33.07/21.69 tff(2651,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 33.07/21.69 inference(transitivity,[status(thm)],[2650, 2648])).
% 33.07/21.69 tff(2652,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2653,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2652, 2651])).
% 33.07/21.69 tff(2654,plain,
% 33.07/21.69 (~v101(constB17)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2653, 381, 2647, 2644])).
% 33.07/21.69 tff(2655,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2656,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2657,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17))),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2656, 2655])).
% 33.07/21.69 tff(2658,plain,
% 33.07/21.69 (v101(constB17) | (~v100(constB17))),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2657, 398, 2647])).
% 33.07/21.69 tff(2659,plain,
% 33.07/21.69 (~v100(constB17)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2658, 2654])).
% 33.07/21.69 tff(2660,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2661,plain,
% 33.07/21.69 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))) <=> (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2662,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2))))),
% 33.07/21.69 inference(monotonicity,[status(thm)],[2661])).
% 33.07/21.69 tff(2663,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 33.07/21.69 inference(transitivity,[status(thm)],[2662, 2660])).
% 33.07/21.69 tff(2664,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2665,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 33.07/21.69 tff(2666,plain,
% 33.07/21.69 (v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2665, 413, 2647])).
% 33.07/21.69 tff(2667,plain,
% 33.07/21.69 (v90(constB16, bitIndex2) | (~v90(constB17, bitIndex2))),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2666, 2659])).
% 33.07/21.69 tff(2668,plain,
% 33.07/21.69 (~v90(constB17, bitIndex2)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2667, 2641])).
% 33.07/21.69 tff(2669,plain,
% 33.07/21.69 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB15)) | v130(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB15)) | v130(constB15, bitIndex1))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2670,plain,
% 33.07/21.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB15)) | v130(constB15, bitIndex1))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2671,plain,
% 33.07/21.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB15)) | v130(constB15, bitIndex1)),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2670, 2669])).
% 33.07/21.69 tff(2672,plain,
% 33.07/21.69 (v130(constB15, bitIndex1)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2671, 1087, 2536])).
% 33.07/21.69 tff(2673,plain,
% 33.07/21.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2674,plain,
% 33.07/21.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2675,plain,
% 33.07/21.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1)),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2674, 2673])).
% 33.07/21.69 tff(2676,plain,
% 33.07/21.69 ((~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2675, 1101, 2564])).
% 33.07/21.69 tff(2677,plain,
% 33.07/21.69 (v127(constB15, bitIndex1)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2676, 2672])).
% 33.07/21.69 tff(2678,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2679,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2680,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1)),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2679, 2678])).
% 33.07/21.69 tff(2681,plain,
% 33.07/21.69 ((~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2680, 1116, 2576])).
% 33.07/21.69 tff(2682,plain,
% 33.07/21.69 (v129(constB16, bitIndex1)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2681, 2677])).
% 33.07/21.69 tff(2683,plain,
% 33.07/21.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2684,plain,
% 33.07/21.69 ((v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1))) <=> (v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2685,plain,
% 33.07/21.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16))))),
% 33.07/21.69 inference(monotonicity,[status(thm)],[2684])).
% 33.07/21.69 tff(2686,plain,
% 33.07/21.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))),
% 33.07/21.69 inference(transitivity,[status(thm)],[2685, 2683])).
% 33.07/21.69 tff(2687,plain,
% 33.07/21.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1)))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2688,plain,
% 33.07/21.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16))),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2687, 2686])).
% 33.07/21.69 tff(2689,plain,
% 33.07/21.69 (v90(constB16, bitIndex1) | (~v100(constB16))),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2688, 1131, 2682])).
% 33.07/21.69 tff(2690,plain,
% 33.07/21.69 (v90(constB16, bitIndex1)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2689, 2616])).
% 33.07/21.69 tff(2691,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2692,plain,
% 33.07/21.69 (((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1)) <=> ((~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2693,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1)))),
% 33.07/21.69 inference(monotonicity,[status(thm)],[2692])).
% 33.07/21.69 tff(2694,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))),
% 33.07/21.69 inference(transitivity,[status(thm)],[2693, 2691])).
% 33.07/21.69 tff(2695,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2696,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1)),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2695, 2694])).
% 33.07/21.69 tff(2697,plain,
% 33.07/21.69 ((~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2696, 1149, 2647])).
% 33.07/21.69 tff(2698,plain,
% 33.07/21.69 ((~v90(constB16, bitIndex1)) | v90(constB17, bitIndex1)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2697, 2659])).
% 33.07/21.69 tff(2699,plain,
% 33.07/21.69 (v90(constB17, bitIndex1)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2698, 2690])).
% 33.07/21.69 tff(2700,plain,
% 33.07/21.69 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB15)) | (~v130(constB15, bitIndex0)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2701,plain,
% 33.07/21.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex0)))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2702,plain,
% 33.07/21.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB15)) | (~v130(constB15, bitIndex0))),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2701, 2700])).
% 33.07/21.69 tff(2703,plain,
% 33.07/21.69 (~v130(constB15, bitIndex0)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2702, 1168, 2536])).
% 33.07/21.69 tff(2704,plain,
% 33.07/21.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2705,plain,
% 33.07/21.69 ((v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0))) <=> ((~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2706,plain,
% 33.07/21.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0)))),
% 33.07/21.69 inference(monotonicity,[status(thm)],[2705])).
% 33.07/21.69 tff(2707,plain,
% 33.07/21.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))),
% 33.07/21.69 inference(transitivity,[status(thm)],[2706, 2704])).
% 33.07/21.69 tff(2708,plain,
% 33.07/21.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0)))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2709,plain,
% 33.07/21.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0)),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2708, 2707])).
% 33.07/21.69 tff(2710,plain,
% 33.07/21.69 ((~v127(constB15, bitIndex0)) | v130(constB15, bitIndex0)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2709, 1182, 2564])).
% 33.07/21.69 tff(2711,plain,
% 33.07/21.69 (~v127(constB15, bitIndex0)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2710, 2703])).
% 33.07/21.69 tff(2712,plain,
% 33.07/21.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2713,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0)))),
% 33.07/21.69 inference(quant_inst,[status(thm)],[])).
% 33.07/21.69 tff(2714,plain,
% 33.07/21.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0))),
% 33.07/21.69 inference(modus_ponens,[status(thm)],[2713, 2712])).
% 33.07/21.69 tff(2715,plain,
% 33.07/21.69 (v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0))),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2714, 1200, 2576])).
% 33.07/21.69 tff(2716,plain,
% 33.07/21.69 (~v129(constB16, bitIndex0)),
% 33.07/21.69 inference(unit_resolution,[status(thm)],[2715, 2711])).
% 33.07/21.69 tff(2717,plain,
% 33.07/21.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2718,plain,
% 33.07/21.69 (((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0)) <=> ((~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))),
% 33.07/21.69 inference(rewrite,[status(thm)],[])).
% 33.07/21.69 tff(2719,plain,
% 33.07/21.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16))))),
% 33.07/21.69 inference(monotonicity,[status(thm)],[2718])).
% 33.07/21.69 tff(2720,plain,
% 33.07/21.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))),
% 33.07/21.70 inference(transitivity,[status(thm)],[2719, 2717])).
% 33.07/21.70 tff(2721,plain,
% 33.07/21.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2722,plain,
% 33.07/21.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2721, 2720])).
% 33.07/21.70 tff(2723,plain,
% 33.07/21.70 ((~v90(constB16, bitIndex0)) | (~v100(constB16))),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2722, 1215, 2716])).
% 33.07/21.70 tff(2724,plain,
% 33.07/21.70 (~v90(constB16, bitIndex0)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2723, 2616])).
% 33.07/21.70 tff(2725,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2726,plain,
% 33.07/21.70 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0))) <=> (v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2727,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0))))),
% 33.07/21.70 inference(monotonicity,[status(thm)],[2726])).
% 33.07/21.70 tff(2728,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 33.07/21.70 inference(transitivity,[status(thm)],[2727, 2725])).
% 33.07/21.70 tff(2729,plain,
% 33.07/21.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2730,plain,
% 33.07/21.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2729, 2728])).
% 33.07/21.70 tff(2731,plain,
% 33.07/21.70 (v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0))),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2730, 455, 2647])).
% 33.07/21.70 tff(2732,plain,
% 33.07/21.70 (v90(constB16, bitIndex0) | (~v90(constB17, bitIndex0))),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2731, 2659])).
% 33.07/21.70 tff(2733,plain,
% 33.07/21.70 (~v90(constB17, bitIndex0)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2732, 2724])).
% 33.07/21.70 tff(2734,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2735,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2736,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17)),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2735, 2734])).
% 33.07/21.70 tff(2737,plain,
% 33.07/21.70 (v121(constB17)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2736, 1242, 2733, 2699, 2668])).
% 33.07/21.70 tff(2738,plain,
% 33.07/21.70 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB17)) | (~v130(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB17)) | (~v130(constB17, bitIndex2)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2739,plain,
% 33.07/21.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB17)) | (~v130(constB17, bitIndex2)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2740,plain,
% 33.07/21.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB17)) | (~v130(constB17, bitIndex2))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2739, 2738])).
% 33.07/21.70 tff(2741,plain,
% 33.07/21.70 (~v130(constB17, bitIndex2)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2740, 1342, 2737])).
% 33.07/21.70 tff(2742,assumption,(v26(constB17)), introduced(assumption)).
% 33.07/21.70 tff(2743,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB17))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2744,plain,
% 33.07/21.70 ($false),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2743, 120, 2742])).
% 33.07/21.70 tff(2745,plain,(~v26(constB17)), inference(lemma,lemma(discharge,[]))).
% 33.07/21.70 tff(2746,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2747,plain,
% 33.07/21.70 ((v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2))) <=> ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2748,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)))),
% 33.07/21.70 inference(monotonicity,[status(thm)],[2747])).
% 33.07/21.70 tff(2749,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 33.07/21.70 inference(transitivity,[status(thm)],[2748, 2746])).
% 33.07/21.70 tff(2750,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2751,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2750, 2749])).
% 33.07/21.70 tff(2752,plain,
% 33.07/21.70 ((~v127(constB17, bitIndex2)) | v130(constB17, bitIndex2)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2751, 689, 2745])).
% 33.07/21.70 tff(2753,plain,
% 33.07/21.70 (~v127(constB17, bitIndex2)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2752, 2741])).
% 33.07/21.70 tff(2754,plain,
% 33.07/21.70 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2755,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 33.07/21.70 tff(2756,plain,
% 33.07/21.70 (nextState(constB17, constB18)),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2755, 2754])).
% 33.07/21.70 tff(2757,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2758,plain,
% 33.07/21.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2759,plain,
% 33.07/21.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2758, 2757])).
% 33.07/21.70 tff(2760,plain,
% 33.07/21.70 (v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2759, 707, 2756])).
% 33.07/21.70 tff(2761,plain,
% 33.07/21.70 (~v129(constB18, bitIndex2)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2760, 2753])).
% 33.07/21.70 tff(2762,assumption,(~v100(constB18)), introduced(assumption)).
% 33.07/21.70 tff(2763,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2764,plain,
% 33.07/21.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2765,plain,
% 33.07/21.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 33.07/21.70 tff(2766,plain,
% 33.07/21.70 (~v104(constB18)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2765, 603, 2756, 2644])).
% 33.07/21.70 tff(2767,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2768,plain,
% 33.07/21.70 (((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18)) <=> ((~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2769,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v102(constB18)))),
% 33.07/21.70 inference(monotonicity,[status(thm)],[2768])).
% 33.07/21.70 tff(2770,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))),
% 33.07/21.70 inference(transitivity,[status(thm)],[2769, 2767])).
% 33.07/21.70 tff(2771,plain,
% 33.07/21.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2772,plain,
% 33.07/21.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | v102(constB18)),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2771, 2770])).
% 33.07/21.70 tff(2773,plain,
% 33.07/21.70 (v104(constB18) | v102(constB18)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2772, 617, 2756])).
% 33.07/21.70 tff(2774,plain,
% 33.07/21.70 (v102(constB18)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2773, 2766])).
% 33.07/21.70 tff(2775,plain,
% 33.07/21.70 (v1(constB18) <=> v1(constB18)),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2776,axiom,(v1(constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 33.07/21.70 tff(2777,plain,
% 33.07/21.70 (v1(constB18)),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2776, 2775])).
% 33.07/21.70 tff(2778,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2779,plain,
% 33.07/21.70 (((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18))) <=> ((~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2780,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18))))),
% 33.07/21.70 inference(monotonicity,[status(thm)],[2779])).
% 33.07/21.70 tff(2781,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))),
% 33.07/21.70 inference(transitivity,[status(thm)],[2780, 2778])).
% 33.07/21.70 tff(2782,plain,
% 33.07/21.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2783,plain,
% 33.07/21.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2782, 2781])).
% 33.07/21.70 tff(2784,plain,
% 33.07/21.70 (v101(constB18) | (~v102(constB18))),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2783, 638, 2756, 2777])).
% 33.07/21.70 tff(2785,plain,
% 33.07/21.70 (v101(constB18)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2784, 2774])).
% 33.07/21.70 tff(2786,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2787,plain,
% 33.07/21.70 (((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18)) <=> ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2788,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))))),
% 33.07/21.70 inference(monotonicity,[status(thm)],[2787])).
% 33.07/21.70 tff(2789,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 33.07/21.70 inference(transitivity,[status(thm)],[2788, 2786])).
% 33.07/21.70 tff(2790,plain,
% 33.07/21.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2791,plain,
% 33.07/21.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2790, 2789])).
% 33.07/21.70 tff(2792,plain,
% 33.07/21.70 (v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2791, 656, 2756])).
% 33.07/21.70 tff(2793,plain,
% 33.07/21.70 (v100(constB18) | (~v110(constB18))),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2792, 2785])).
% 33.07/21.70 tff(2794,plain,
% 33.07/21.70 (~v110(constB18)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2793, 2762])).
% 33.07/21.70 tff(2795,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2796,plain,
% 33.07/21.70 (((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18)) <=> ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2797,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))))),
% 33.07/21.70 inference(monotonicity,[status(thm)],[2796])).
% 33.07/21.70 tff(2798,plain,
% 33.07/21.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 33.07/21.70 inference(transitivity,[status(thm)],[2797, 2795])).
% 33.07/21.70 tff(2799,plain,
% 33.07/21.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2800,plain,
% 33.07/21.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2799, 2798])).
% 33.07/21.70 tff(2801,plain,
% 33.07/21.70 (v110(constB18) | (~v108(constB17))),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2800, 585, 2756])).
% 33.07/21.70 tff(2802,plain,
% 33.07/21.70 (~v108(constB17)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2801, 2794])).
% 33.07/21.70 tff(2803,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB17) | (~v112(constB17)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB17) | (~v112(constB17)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2804,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB17) | (~v112(constB17)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2805,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB17) | (~v112(constB17))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2804, 2803])).
% 33.07/21.70 tff(2806,plain,
% 33.07/21.70 (~v112(constB17)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2805, 568, 2802])).
% 33.07/21.70 tff(2807,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB17) | (~v26(constB17)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB17) | (~v26(constB17)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2808,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB17) | (~v26(constB17)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2809,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB17) | (~v26(constB17))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2808, 2807])).
% 33.07/21.70 tff(2810,plain,
% 33.07/21.70 (~v26(constB17)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2809, 2348, 2802])).
% 33.07/21.70 tff(2811,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2812,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2813,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | (~v113(constB17)) | v112(constB17)),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2812, 2811])).
% 33.07/21.70 tff(2814,plain,
% 33.07/21.70 (~v113(constB17)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2813, 556, 2810, 2806])).
% 33.07/21.70 tff(2815,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB17) | (~v114(constB17)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB17) | (~v114(constB17)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2816,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB17) | (~v114(constB17)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2817,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB17) | (~v114(constB17))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2816, 2815])).
% 33.07/21.70 tff(2818,plain,
% 33.07/21.70 (~v114(constB17)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2817, 542, 2814])).
% 33.07/21.70 tff(2819,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB17) | (~v115(constB17)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB17) | (~v115(constB17)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2820,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB17) | (~v115(constB17)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2821,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB17) | (~v115(constB17))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2820, 2819])).
% 33.07/21.70 tff(2822,plain,
% 33.07/21.70 (~v115(constB17)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2821, 531, 2818])).
% 33.07/21.70 tff(2823,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB17) | (~v116(constB17)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB17) | (~v116(constB17)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2824,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB17) | (~v116(constB17)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2825,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB17) | (~v116(constB17))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2824, 2823])).
% 33.07/21.70 tff(2826,plain,
% 33.07/21.70 (~v116(constB17)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2825, 520, 2822])).
% 33.07/21.70 tff(2827,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB17) | (~v117(constB17)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB17) | (~v117(constB17)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2828,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB17) | (~v117(constB17)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2829,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB17) | (~v117(constB17))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2828, 2827])).
% 33.07/21.70 tff(2830,plain,
% 33.07/21.70 (~v117(constB17)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2829, 509, 2826])).
% 33.07/21.70 tff(2831,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB17) | (~v121(constB17)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB17) | (~v121(constB17)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2832,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB17) | (~v121(constB17)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2833,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB17) | (~v121(constB17))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2832, 2831])).
% 33.07/21.70 tff(2834,plain,
% 33.07/21.70 (~v121(constB17)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2833, 1253, 2830])).
% 33.07/21.70 tff(2835,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB17) | (~v118(constB17)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB17) | (~v118(constB17)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2836,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB17) | (~v118(constB17)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2837,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB17) | (~v118(constB17))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2836, 2835])).
% 33.07/21.70 tff(2838,plain,
% 33.07/21.70 (~v118(constB17)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2837, 498, 2830])).
% 33.07/21.70 tff(2839,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB17) | (~v119(constB17)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB17) | (~v119(constB17)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2840,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB17) | (~v119(constB17)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2841,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB17) | (~v119(constB17))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 33.07/21.70 tff(2842,plain,
% 33.07/21.70 (~v119(constB17)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2841, 487, 2838])).
% 33.07/21.70 tff(2843,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB17) | (~v122(constB17)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB17) | (~v122(constB17)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2844,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB17) | (~v122(constB17)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2845,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB17) | (~v122(constB17))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2844, 2843])).
% 33.07/21.70 tff(2846,plain,
% 33.07/21.70 (~v122(constB17)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2845, 1497, 2826])).
% 33.07/21.70 tff(2847,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB17) | (~v120(constB17)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB17) | (~v120(constB17)))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2848,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB17) | (~v120(constB17)))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2849,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB17) | (~v120(constB17))),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2848, 2847])).
% 33.07/21.70 tff(2850,plain,
% 33.07/21.70 (~v120(constB17)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2849, 936, 2838])).
% 33.07/21.70 tff(2851,assumption,(~v90(constB17, bitIndex2)), introduced(assumption)).
% 33.07/21.70 tff(2852,assumption,(~v121(constB17)), introduced(assumption)).
% 33.07/21.70 tff(2853,assumption,(~v119(constB17)), introduced(assumption)).
% 33.07/21.70 tff(2854,assumption,(~v90(constB17, bitIndex0)), introduced(assumption)).
% 33.07/21.70 tff(2855,plain,
% 33.07/21.70 (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2736, 1242, 2852])).
% 33.07/21.70 tff(2856,plain,
% 33.07/21.70 (~v90(constB17, bitIndex1)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2855, 2854, 2851])).
% 33.07/21.70 tff(2857,plain,
% 33.07/21.70 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB17) | v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB17) | v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2858,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB17) | v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2))),
% 33.07/21.70 inference(quant_inst,[status(thm)],[])).
% 33.07/21.70 tff(2859,plain,
% 33.07/21.70 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB17) | v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2)),
% 33.07/21.70 inference(modus_ponens,[status(thm)],[2858, 2857])).
% 33.07/21.70 tff(2860,plain,
% 33.07/21.70 (v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2859, 476, 2853])).
% 33.07/21.70 tff(2861,plain,
% 33.07/21.70 ($false),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2860, 2856, 2854, 2851])).
% 33.07/21.70 tff(2862,plain,(v90(constB17, bitIndex0) | v90(constB17, bitIndex2) | v119(constB17) | v121(constB17)), inference(lemma,lemma(discharge,[]))).
% 33.07/21.70 tff(2863,plain,
% 33.07/21.70 (v90(constB17, bitIndex0)),
% 33.07/21.70 inference(unit_resolution,[status(thm)],[2862, 2851, 2853, 2852])).
% 33.07/21.70 tff(2864,assumption,(~v122(constB17)), introduced(assumption)).
% 33.07/21.70 tff(2865,plain,
% 33.07/21.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB17, bitIndex0)) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v122(constB17))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB17, bitIndex0)) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v122(constB17))),
% 33.07/21.70 inference(rewrite,[status(thm)],[])).
% 33.07/21.70 tff(2866,plain,
% 33.07/21.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB17, bitIndex0)) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v122(constB17))),
% 33.07/21.71 inference(quant_inst,[status(thm)],[])).
% 33.07/21.71 tff(2867,plain,
% 33.07/21.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB17, bitIndex0)) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v122(constB17)),
% 33.07/21.71 inference(modus_ponens,[status(thm)],[2866, 2865])).
% 33.07/21.71 tff(2868,plain,
% 33.07/21.71 ((~v90(constB17, bitIndex0)) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2867, 1486, 2864])).
% 33.07/21.71 tff(2869,plain,
% 33.07/21.71 (~v90(constB17, bitIndex1)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2868, 2863, 2851])).
% 33.07/21.71 tff(2870,assumption,(~v120(constB17)), introduced(assumption)).
% 33.07/21.71 tff(2871,plain,
% 33.07/21.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2872,plain,
% 33.07/21.71 (((~v90(constB17, bitIndex0)) | v120(constB17) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2)) <=> ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2873,plain,
% 33.07/21.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB17, bitIndex0)) | v120(constB17) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17)))),
% 33.07/21.71 inference(monotonicity,[status(thm)],[2872])).
% 33.07/21.71 tff(2874,plain,
% 33.07/21.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB17, bitIndex0)) | v120(constB17) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))),
% 33.07/21.71 inference(transitivity,[status(thm)],[2873, 2871])).
% 33.07/21.71 tff(2875,plain,
% 33.07/21.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB17, bitIndex0)) | v120(constB17) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2))),
% 33.07/21.71 inference(quant_inst,[status(thm)],[])).
% 33.07/21.71 tff(2876,plain,
% 33.07/21.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17)),
% 33.07/21.71 inference(modus_ponens,[status(thm)],[2875, 2874])).
% 33.07/21.71 tff(2877,plain,
% 33.07/21.71 ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2876, 922, 2870])).
% 33.07/21.71 tff(2878,plain,
% 33.07/21.71 ($false),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2877, 2869, 2863, 2851])).
% 33.07/21.71 tff(2879,plain,(v90(constB17, bitIndex2) | v120(constB17) | v122(constB17) | v119(constB17) | v121(constB17)), inference(lemma,lemma(discharge,[]))).
% 33.07/21.71 tff(2880,plain,
% 33.07/21.71 (v90(constB17, bitIndex2)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2879, 2850, 2846, 2842, 2834])).
% 33.07/21.71 tff(2881,plain,
% 33.07/21.71 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB17) | (~v124(constB17)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB17) | (~v124(constB17)))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2882,plain,
% 33.07/21.71 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB17) | (~v124(constB17)))),
% 33.07/21.71 inference(quant_inst,[status(thm)],[])).
% 33.07/21.71 tff(2883,plain,
% 33.07/21.71 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB17) | (~v124(constB17))),
% 33.07/21.71 inference(modus_ponens,[status(thm)],[2882, 2881])).
% 33.07/21.71 tff(2884,plain,
% 33.07/21.71 (~v124(constB17)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2883, 2005, 2818])).
% 33.07/21.71 tff(2885,plain,
% 33.07/21.71 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB17) | (~v123(constB17)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB17) | (~v123(constB17)))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2886,plain,
% 33.07/21.71 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB17) | (~v123(constB17)))),
% 33.07/21.71 inference(quant_inst,[status(thm)],[])).
% 33.07/21.71 tff(2887,plain,
% 33.07/21.71 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB17) | (~v123(constB17))),
% 33.07/21.71 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 33.07/21.71 tff(2888,plain,
% 33.07/21.71 (~v123(constB17)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2887, 1776, 2822])).
% 33.07/21.71 tff(2889,assumption,(v90(constB17, bitIndex2)), introduced(assumption)).
% 33.07/21.71 tff(2890,assumption,(~v90(constB17, bitIndex1)), introduced(assumption)).
% 33.07/21.71 tff(2891,assumption,(~v124(constB17)), introduced(assumption)).
% 33.07/21.71 tff(2892,plain,
% 33.07/21.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v124(constB17))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v124(constB17))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2893,plain,
% 33.07/21.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v124(constB17))),
% 33.07/21.71 inference(quant_inst,[status(thm)],[])).
% 33.07/21.71 tff(2894,plain,
% 33.07/21.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v124(constB17)),
% 33.07/21.71 inference(modus_ponens,[status(thm)],[2893, 2892])).
% 33.07/21.71 tff(2895,plain,
% 33.07/21.71 ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2))),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2894, 1994, 2891])).
% 33.07/21.71 tff(2896,plain,
% 33.07/21.71 (~v90(constB17, bitIndex0)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2895, 2890, 2889])).
% 33.07/21.71 tff(2897,assumption,(~v123(constB17)), introduced(assumption)).
% 33.07/21.71 tff(2898,plain,
% 33.07/21.71 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v123(constB17))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v123(constB17))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2899,plain,
% 33.07/21.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v123(constB17))),
% 33.07/21.71 inference(quant_inst,[status(thm)],[])).
% 33.07/21.71 tff(2900,plain,
% 33.07/21.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v123(constB17)),
% 33.07/21.71 inference(modus_ponens,[status(thm)],[2899, 2898])).
% 33.07/21.71 tff(2901,plain,
% 33.07/21.71 (v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2))),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2900, 1765, 2897])).
% 33.07/21.71 tff(2902,plain,
% 33.07/21.71 ($false),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2901, 2896, 2890, 2889])).
% 33.07/21.71 tff(2903,plain,(v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v123(constB17) | v124(constB17)), inference(lemma,lemma(discharge,[]))).
% 33.07/21.71 tff(2904,plain,
% 33.07/21.71 (v90(constB17, bitIndex1)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2903, 2880, 2888, 2884])).
% 33.07/21.71 tff(2905,plain,
% 33.07/21.71 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB17) | (~v125(constB17)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB17) | (~v125(constB17)))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2906,plain,
% 33.07/21.71 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB17) | (~v125(constB17)))),
% 33.07/21.71 inference(quant_inst,[status(thm)],[])).
% 33.07/21.71 tff(2907,plain,
% 33.07/21.71 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB17) | (~v125(constB17))),
% 33.07/21.71 inference(modus_ponens,[status(thm)],[2906, 2905])).
% 33.07/21.71 tff(2908,plain,
% 33.07/21.71 (~v125(constB17)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2907, 2332, 2814])).
% 33.07/21.71 tff(2909,plain,
% 33.07/21.71 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | (~v90(constB17, bitIndex2)) | v125(constB17))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | (~v90(constB17, bitIndex2)) | v125(constB17))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2910,plain,
% 33.07/21.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | (~v90(constB17, bitIndex2)) | v125(constB17))),
% 33.07/21.71 inference(quant_inst,[status(thm)],[])).
% 33.07/21.71 tff(2911,plain,
% 33.07/21.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | (~v90(constB17, bitIndex2)) | v125(constB17)),
% 33.07/21.71 inference(modus_ponens,[status(thm)],[2910, 2909])).
% 33.07/21.71 tff(2912,plain,
% 33.07/21.71 (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | (~v90(constB17, bitIndex2))),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2911, 2321, 2908])).
% 33.07/21.71 tff(2913,plain,
% 33.07/21.71 (v90(constB17, bitIndex0)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2912, 2904, 2880])).
% 33.07/21.71 tff(2914,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB17, bitIndex2)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB17, bitIndex2)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex2))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2915,plain,
% 33.07/21.71 (((~nextState(constB17, constB18)) | (~v90(constB17, bitIndex2)) | v100(constB18) | v90(constB18, bitIndex2)) <=> ((~v90(constB17, bitIndex2)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex2))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2916,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB17, constB18)) | (~v90(constB17, bitIndex2)) | v100(constB18) | v90(constB18, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB17, bitIndex2)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex2)))),
% 33.07/21.71 inference(monotonicity,[status(thm)],[2915])).
% 33.07/21.71 tff(2917,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB17, constB18)) | (~v90(constB17, bitIndex2)) | v100(constB18) | v90(constB18, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB17, bitIndex2)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex2))),
% 33.07/21.71 inference(transitivity,[status(thm)],[2916, 2914])).
% 33.07/21.71 tff(2918,plain,
% 33.07/21.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB17, constB18)) | (~v90(constB17, bitIndex2)) | v100(constB18) | v90(constB18, bitIndex2))),
% 33.07/21.71 inference(quant_inst,[status(thm)],[])).
% 33.07/21.71 tff(2919,plain,
% 33.07/21.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB17, bitIndex2)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex2)),
% 33.07/21.71 inference(modus_ponens,[status(thm)],[2918, 2917])).
% 33.07/21.71 tff(2920,plain,
% 33.07/21.71 ((~v90(constB17, bitIndex2)) | v100(constB18) | v90(constB18, bitIndex2)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2919, 1658, 2756])).
% 33.07/21.71 tff(2921,plain,
% 33.07/21.71 (v90(constB18, bitIndex2)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2920, 2880, 2762])).
% 33.07/21.71 tff(2922,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex1))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2923,plain,
% 33.07/21.71 (((~nextState(constB17, constB18)) | (~v90(constB17, bitIndex1)) | v100(constB18) | v90(constB18, bitIndex1)) <=> ((~v90(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex1))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2924,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v90(constB17, bitIndex1)) | v100(constB18) | v90(constB18, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex1)))),
% 33.07/21.71 inference(monotonicity,[status(thm)],[2923])).
% 33.07/21.71 tff(2925,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v90(constB17, bitIndex1)) | v100(constB18) | v90(constB18, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex1))),
% 33.07/21.71 inference(transitivity,[status(thm)],[2924, 2922])).
% 33.07/21.71 tff(2926,plain,
% 33.07/21.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v90(constB17, bitIndex1)) | v100(constB18) | v90(constB18, bitIndex1))),
% 33.07/21.71 inference(quant_inst,[status(thm)],[])).
% 33.07/21.71 tff(2927,plain,
% 33.07/21.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex1)),
% 33.07/21.71 inference(modus_ponens,[status(thm)],[2926, 2925])).
% 33.07/21.71 tff(2928,plain,
% 33.07/21.71 ((~v90(constB17, bitIndex1)) | v100(constB18) | v90(constB18, bitIndex1)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2927, 1149, 2756])).
% 33.07/21.71 tff(2929,plain,
% 33.07/21.71 (v90(constB18, bitIndex1)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2928, 2904, 2762])).
% 33.07/21.71 tff(2930,assumption,(v90(constB18, bitIndex0)), introduced(assumption)).
% 33.07/21.71 tff(2931,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex0)))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2932,plain,
% 33.07/21.71 (((~nextState(constB17, constB18)) | v90(constB17, bitIndex0) | v100(constB18) | (~v90(constB18, bitIndex0))) <=> (v90(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex0)))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2933,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex0) | v100(constB18) | (~v90(constB18, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex0))))),
% 33.07/21.71 inference(monotonicity,[status(thm)],[2932])).
% 33.07/21.71 tff(2934,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex0) | v100(constB18) | (~v90(constB18, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex0)))),
% 33.07/21.71 inference(transitivity,[status(thm)],[2933, 2931])).
% 33.07/21.71 tff(2935,plain,
% 33.07/21.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex0) | v100(constB18) | (~v90(constB18, bitIndex0)))),
% 33.07/21.71 inference(quant_inst,[status(thm)],[])).
% 33.07/21.71 tff(2936,plain,
% 33.07/21.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex0))),
% 33.07/21.71 inference(modus_ponens,[status(thm)],[2935, 2934])).
% 33.07/21.71 tff(2937,plain,
% 33.07/21.71 (v90(constB17, bitIndex0) | v100(constB18) | (~v90(constB18, bitIndex0))),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2936, 455, 2756])).
% 33.07/21.71 tff(2938,plain,
% 33.07/21.71 (v90(constB17, bitIndex0)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2937, 2762, 2930])).
% 33.07/21.71 tff(2939,plain,
% 33.07/21.71 (v90(constB16, bitIndex0)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2732, 2938])).
% 33.07/21.71 tff(2940,assumption,(v90(constB18, bitIndex1)), introduced(assumption)).
% 33.07/21.71 tff(2941,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex1)))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2942,plain,
% 33.07/21.71 (((~nextState(constB17, constB18)) | v90(constB17, bitIndex1) | v100(constB18) | (~v90(constB18, bitIndex1))) <=> (v90(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex1)))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2943,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex1) | v100(constB18) | (~v90(constB18, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex1))))),
% 33.07/21.71 inference(monotonicity,[status(thm)],[2942])).
% 33.07/21.71 tff(2944,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex1) | v100(constB18) | (~v90(constB18, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex1)))),
% 33.07/21.71 inference(transitivity,[status(thm)],[2943, 2941])).
% 33.07/21.71 tff(2945,plain,
% 33.07/21.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex1) | v100(constB18) | (~v90(constB18, bitIndex1)))),
% 33.07/21.71 inference(quant_inst,[status(thm)],[])).
% 33.07/21.71 tff(2946,plain,
% 33.07/21.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex1))),
% 33.07/21.71 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 33.07/21.71 tff(2947,plain,
% 33.07/21.71 (v90(constB17, bitIndex1) | v100(constB18) | (~v90(constB18, bitIndex1))),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2946, 434, 2756])).
% 33.07/21.71 tff(2948,plain,
% 33.07/21.71 (v90(constB17, bitIndex1)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2947, 2762, 2940])).
% 33.07/21.71 tff(2949,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2950,plain,
% 33.07/21.71 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1))) <=> (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2951,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1))))),
% 33.07/21.71 inference(monotonicity,[status(thm)],[2950])).
% 33.07/21.71 tff(2952,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 33.07/21.71 inference(transitivity,[status(thm)],[2951, 2949])).
% 33.07/21.71 tff(2953,plain,
% 33.07/21.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 33.07/21.71 inference(quant_inst,[status(thm)],[])).
% 33.07/21.71 tff(2954,plain,
% 33.07/21.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1))),
% 33.07/21.71 inference(modus_ponens,[status(thm)],[2953, 2952])).
% 33.07/21.71 tff(2955,plain,
% 33.07/21.71 (v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1))),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2954, 434, 2647])).
% 33.07/21.71 tff(2956,plain,
% 33.07/21.71 (v90(constB16, bitIndex1) | (~v90(constB17, bitIndex1))),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2955, 2659])).
% 33.07/21.71 tff(2957,plain,
% 33.07/21.71 (v90(constB16, bitIndex1)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2956, 2948])).
% 33.07/21.71 tff(2958,assumption,(v90(constB16, bitIndex1)), introduced(assumption)).
% 33.07/21.71 tff(2959,assumption,(~v100(constB16)), introduced(assumption)).
% 33.07/21.71 tff(2960,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex1)))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2961,plain,
% 33.07/21.71 (((~nextState(constB15, constB16)) | v90(constB15, bitIndex1) | v100(constB16) | (~v90(constB16, bitIndex1))) <=> (v90(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex1)))),
% 33.07/21.71 inference(rewrite,[status(thm)],[])).
% 33.07/21.71 tff(2962,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v90(constB15, bitIndex1) | v100(constB16) | (~v90(constB16, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex1))))),
% 33.07/21.71 inference(monotonicity,[status(thm)],[2961])).
% 33.07/21.71 tff(2963,plain,
% 33.07/21.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v90(constB15, bitIndex1) | v100(constB16) | (~v90(constB16, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex1)))),
% 33.07/21.71 inference(transitivity,[status(thm)],[2962, 2960])).
% 33.07/21.71 tff(2964,plain,
% 33.07/21.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v90(constB15, bitIndex1) | v100(constB16) | (~v90(constB16, bitIndex1)))),
% 33.07/21.71 inference(quant_inst,[status(thm)],[])).
% 33.07/21.71 tff(2965,plain,
% 33.07/21.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex1))),
% 33.07/21.71 inference(modus_ponens,[status(thm)],[2964, 2963])).
% 33.07/21.71 tff(2966,plain,
% 33.07/21.71 (v90(constB15, bitIndex1) | v100(constB16) | (~v90(constB16, bitIndex1))),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2965, 434, 2576])).
% 33.07/21.71 tff(2967,plain,
% 33.07/21.71 (v90(constB15, bitIndex1)),
% 33.07/21.71 inference(unit_resolution,[status(thm)],[2966, 2959, 2958])).
% 33.07/21.71 tff(2968,plain,
% 33.07/21.72 (v90(constB14, bitIndex1)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2484, 2967])).
% 33.07/21.72 tff(2969,plain,
% 33.07/21.72 (v129(constB14, bitIndex1)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2475, 2968])).
% 33.07/21.72 tff(2970,plain,
% 33.07/21.72 (v127(constB13, bitIndex1)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2467, 2969])).
% 33.07/21.72 tff(2971,plain,
% 33.07/21.72 (v26(constB13)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2462, 2970])).
% 33.07/21.72 tff(2972,assumption,(v90(constB16, bitIndex0)), introduced(assumption)).
% 33.07/21.72 tff(2973,plain,
% 33.07/21.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex0)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(2974,plain,
% 33.07/21.72 (((~nextState(constB15, constB16)) | v90(constB15, bitIndex0) | v100(constB16) | (~v90(constB16, bitIndex0))) <=> (v90(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex0)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(2975,plain,
% 33.07/21.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v90(constB15, bitIndex0) | v100(constB16) | (~v90(constB16, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex0))))),
% 33.07/21.72 inference(monotonicity,[status(thm)],[2974])).
% 33.07/21.72 tff(2976,plain,
% 33.07/21.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v90(constB15, bitIndex0) | v100(constB16) | (~v90(constB16, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex0)))),
% 33.07/21.72 inference(transitivity,[status(thm)],[2975, 2973])).
% 33.07/21.72 tff(2977,plain,
% 33.07/21.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v90(constB15, bitIndex0) | v100(constB16) | (~v90(constB16, bitIndex0)))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(2978,plain,
% 33.07/21.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex0))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[2977, 2976])).
% 33.07/21.72 tff(2979,plain,
% 33.07/21.72 (v90(constB15, bitIndex0) | v100(constB16) | (~v90(constB16, bitIndex0))),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2978, 455, 2576])).
% 33.07/21.72 tff(2980,plain,
% 33.07/21.72 (v90(constB15, bitIndex0)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2979, 2959, 2972])).
% 33.07/21.72 tff(2981,plain,
% 33.07/21.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(2982,plain,
% 33.07/21.72 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0))) <=> (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(2983,plain,
% 33.07/21.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0))))),
% 33.07/21.72 inference(monotonicity,[status(thm)],[2982])).
% 33.07/21.72 tff(2984,plain,
% 33.07/21.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 33.07/21.72 inference(transitivity,[status(thm)],[2983, 2981])).
% 33.07/21.72 tff(2985,plain,
% 33.07/21.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(2986,plain,
% 33.07/21.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[2985, 2984])).
% 33.07/21.72 tff(2987,plain,
% 33.07/21.72 (v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0))),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2986, 455, 2417])).
% 33.07/21.72 tff(2988,plain,
% 33.07/21.72 (v90(constB14, bitIndex0) | (~v90(constB15, bitIndex0))),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2987, 2429])).
% 33.07/21.72 tff(2989,plain,
% 33.07/21.72 (v90(constB14, bitIndex0)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2988, 2980])).
% 33.07/21.72 tff(2990,plain,
% 33.07/21.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(2991,plain,
% 33.07/21.72 (((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0)) <=> ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(2992,plain,
% 33.07/21.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14))))),
% 33.07/21.72 inference(monotonicity,[status(thm)],[2991])).
% 33.07/21.72 tff(2993,plain,
% 33.07/21.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 33.07/21.72 inference(transitivity,[status(thm)],[2992, 2990])).
% 33.07/21.72 tff(2994,plain,
% 33.07/21.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(2995,plain,
% 33.07/21.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 33.07/21.72 tff(2996,plain,
% 33.07/21.72 ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2995, 1215, 2403])).
% 33.07/21.72 tff(2997,plain,
% 33.07/21.72 (v129(constB14, bitIndex0)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2996, 2989])).
% 33.07/21.72 tff(2998,plain,
% 33.07/21.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(2999,plain,
% 33.07/21.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(3000,plain,
% 33.07/21.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[2999, 2998])).
% 33.07/21.72 tff(3001,plain,
% 33.07/21.72 (v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0))),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3000, 1200, 2262])).
% 33.07/21.72 tff(3002,plain,
% 33.07/21.72 (v127(constB13, bitIndex0)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3001, 2997])).
% 33.07/21.72 tff(3003,plain,
% 33.07/21.72 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))))),
% 33.07/21.72 inference(bind,[status(th)],[])).
% 33.07/21.72 tff(3004,plain,
% 33.07/21.72 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 33.07/21.72 inference(quant_intro,[status(thm)],[3003])).
% 33.07/21.72 tff(3005,plain,
% 33.07/21.72 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3006,plain,
% 33.07/21.72 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))))),
% 33.07/21.72 inference(bind,[status(th)],[])).
% 33.07/21.72 tff(3007,plain,
% 33.07/21.72 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 33.07/21.72 inference(quant_intro,[status(thm)],[3006])).
% 33.07/21.72 tff(3008,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 33.07/21.72 tff(3009,plain,
% 33.07/21.72 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[3008, 3007])).
% 33.07/21.72 tff(3010,plain,
% 33.07/21.72 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[3009, 3005])).
% 33.07/21.72 tff(3011,plain,(
% 33.07/21.72 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 33.07/21.72 inference(skolemize,[status(sab)],[3010])).
% 33.07/21.72 tff(3012,plain,
% 33.07/21.72 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[3011, 3004])).
% 33.07/21.72 tff(3013,plain,
% 33.07/21.72 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB13)) | (~v127(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB13)) | (~v127(constB13, bitIndex0)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3014,plain,
% 33.07/21.72 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB13)) | (~v127(constB13, bitIndex0)))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(3015,plain,
% 33.07/21.72 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB13)) | (~v127(constB13, bitIndex0))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[3014, 3013])).
% 33.07/21.72 tff(3016,plain,
% 33.07/21.72 ($false),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3015, 3012, 3002, 2971])).
% 33.07/21.72 tff(3017,plain,(v100(constB16) | (~v90(constB16, bitIndex1)) | (~v90(constB16, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 33.07/21.72 tff(3018,plain,
% 33.07/21.72 (v100(constB16)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3017, 2957, 2939])).
% 33.07/21.72 tff(3019,plain,
% 33.07/21.72 (v129(constB16, bitIndex0) | (~v100(constB16))),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2722, 1215, 2939])).
% 33.07/21.72 tff(3020,plain,
% 33.07/21.72 (v129(constB16, bitIndex0)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3019, 3018])).
% 33.07/21.72 tff(3021,plain,
% 33.07/21.72 (v127(constB15, bitIndex0)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2715, 3020])).
% 33.07/21.72 tff(3022,plain,
% 33.07/21.72 (v130(constB15, bitIndex0)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2710, 3021])).
% 33.07/21.72 tff(3023,plain,
% 33.07/21.72 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB15)) | (~v130(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB15)) | (~v130(constB15, bitIndex0)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3024,plain,
% 33.07/21.72 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB15)) | (~v130(constB15, bitIndex0)))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(3025,plain,
% 33.07/21.72 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB15)) | (~v130(constB15, bitIndex0))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[3024, 3023])).
% 33.07/21.72 tff(3026,plain,
% 33.07/21.72 (~v124(constB15)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3025, 2277, 3022])).
% 33.07/21.72 tff(3027,plain,
% 33.07/21.72 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB15)) | (~v130(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB15)) | (~v130(constB15, bitIndex0)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3028,plain,
% 33.07/21.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB15)) | (~v130(constB15, bitIndex0)))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(3029,plain,
% 33.07/21.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB15)) | (~v130(constB15, bitIndex0))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[3028, 3027])).
% 33.07/21.72 tff(3030,plain,
% 33.07/21.72 (~v122(constB15)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3029, 1721, 3022])).
% 33.07/21.72 tff(3031,plain,
% 33.07/21.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3032,plain,
% 33.07/21.72 (((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1)) <=> ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3033,plain,
% 33.07/21.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16))))),
% 33.07/21.72 inference(monotonicity,[status(thm)],[3032])).
% 33.07/21.72 tff(3034,plain,
% 33.07/21.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 33.07/21.72 inference(transitivity,[status(thm)],[3033, 3031])).
% 33.07/21.72 tff(3035,plain,
% 33.07/21.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(3036,plain,
% 33.07/21.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[3035, 3034])).
% 33.07/21.72 tff(3037,plain,
% 33.07/21.72 (v129(constB16, bitIndex1) | (~v100(constB16))),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3036, 814, 2957])).
% 33.07/21.72 tff(3038,plain,
% 33.07/21.72 (v129(constB16, bitIndex1)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3037, 3018])).
% 33.07/21.72 tff(3039,plain,
% 33.07/21.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3040,plain,
% 33.07/21.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(3041,plain,
% 33.07/21.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[3040, 3039])).
% 33.07/21.72 tff(3042,plain,
% 33.07/21.72 (v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1))),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3041, 799, 2576])).
% 33.07/21.72 tff(3043,plain,
% 33.07/21.72 (v127(constB15, bitIndex1)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3042, 3038])).
% 33.07/21.72 tff(3044,plain,
% 33.07/21.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3045,plain,
% 33.07/21.72 ((v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1))) <=> ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3046,plain,
% 33.07/21.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1)))),
% 33.07/21.72 inference(monotonicity,[status(thm)],[3045])).
% 33.07/21.72 tff(3047,plain,
% 33.07/21.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 33.07/21.72 inference(transitivity,[status(thm)],[3046, 3044])).
% 33.07/21.72 tff(3048,plain,
% 33.07/21.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(3049,plain,
% 33.07/21.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1)),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[3048, 3047])).
% 33.07/21.72 tff(3050,plain,
% 33.07/21.72 ((~v127(constB15, bitIndex1)) | v130(constB15, bitIndex1)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3049, 781, 2564])).
% 33.07/21.72 tff(3051,plain,
% 33.07/21.72 (v130(constB15, bitIndex1)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3050, 3043])).
% 33.07/21.72 tff(3052,plain,
% 33.07/21.72 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB15)) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB15)) | (~v130(constB15, bitIndex1)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3053,plain,
% 33.07/21.72 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB15)) | (~v130(constB15, bitIndex1)))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(3054,plain,
% 33.07/21.72 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB15)) | (~v130(constB15, bitIndex1))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[3053, 3052])).
% 33.07/21.72 tff(3055,plain,
% 33.07/21.72 (~v119(constB15)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3054, 767, 3051])).
% 33.07/21.72 tff(3056,plain,
% 33.07/21.72 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB15)) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB15)) | (~v130(constB15, bitIndex1)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3057,plain,
% 33.07/21.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB15)) | (~v130(constB15, bitIndex1)))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(3058,plain,
% 33.07/21.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB15)) | (~v130(constB15, bitIndex1))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[3057, 3056])).
% 33.07/21.72 tff(3059,plain,
% 33.07/21.72 (~v123(constB15)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3058, 1909, 3051])).
% 33.07/21.72 tff(3060,assumption,(v90(constB18, bitIndex2)), introduced(assumption)).
% 33.07/21.72 tff(3061,plain,
% 33.07/21.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex2)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3062,plain,
% 33.07/21.72 (((~nextState(constB17, constB18)) | v90(constB17, bitIndex2) | v100(constB18) | (~v90(constB18, bitIndex2))) <=> (v90(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex2)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3063,plain,
% 33.07/21.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex2) | v100(constB18) | (~v90(constB18, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex2))))),
% 33.07/21.72 inference(monotonicity,[status(thm)],[3062])).
% 33.07/21.72 tff(3064,plain,
% 33.07/21.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex2) | v100(constB18) | (~v90(constB18, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex2)))),
% 33.07/21.72 inference(transitivity,[status(thm)],[3063, 3061])).
% 33.07/21.72 tff(3065,plain,
% 33.07/21.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex2) | v100(constB18) | (~v90(constB18, bitIndex2)))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(3066,plain,
% 33.07/21.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex2))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[3065, 3064])).
% 33.07/21.72 tff(3067,plain,
% 33.07/21.72 (v90(constB17, bitIndex2) | v100(constB18) | (~v90(constB18, bitIndex2))),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3066, 413, 2756])).
% 33.07/21.72 tff(3068,plain,
% 33.07/21.72 (v90(constB17, bitIndex2)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3067, 2762, 3060])).
% 33.07/21.72 tff(3069,plain,
% 33.07/21.72 (v90(constB16, bitIndex2)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2667, 3068])).
% 33.07/21.72 tff(3070,plain,
% 33.07/21.72 (v129(constB16, bitIndex2) | (~v100(constB16))),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2639, 722, 3069])).
% 33.07/21.72 tff(3071,plain,
% 33.07/21.72 (v129(constB16, bitIndex2)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3070, 3018])).
% 33.07/21.72 tff(3072,plain,
% 33.07/21.72 (v127(constB15, bitIndex2)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2632, 3071])).
% 33.07/21.72 tff(3073,plain,
% 33.07/21.72 (v130(constB15, bitIndex2)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2627, 3072])).
% 33.07/21.72 tff(3074,plain,
% 33.07/21.72 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB15)) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB15)) | (~v130(constB15, bitIndex2)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3075,plain,
% 33.07/21.72 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB15)) | (~v130(constB15, bitIndex2)))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(3076,plain,
% 33.07/21.72 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB15)) | (~v130(constB15, bitIndex2))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[3075, 3074])).
% 33.07/21.72 tff(3077,plain,
% 33.07/21.72 (~v121(constB15)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3076, 1342, 3073])).
% 33.07/21.72 tff(3078,assumption,(v120(constB15)), introduced(assumption)).
% 33.07/21.72 tff(3079,plain,
% 33.07/21.72 (v118(constB15)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2539, 936, 3078])).
% 33.07/21.72 tff(3080,plain,
% 33.07/21.72 (v117(constB15)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2543, 498, 3079])).
% 33.07/21.72 tff(3081,plain,
% 33.07/21.72 (v116(constB15)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2547, 509, 3080])).
% 33.07/21.72 tff(3082,plain,
% 33.07/21.72 (v115(constB15)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2551, 520, 3081])).
% 33.07/21.72 tff(3083,plain,
% 33.07/21.72 (v114(constB15)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2555, 531, 3082])).
% 33.07/21.72 tff(3084,plain,
% 33.07/21.72 (v113(constB15)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2559, 542, 3083])).
% 33.07/21.72 tff(3085,plain,
% 33.07/21.72 (v112(constB15)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2568, 3084])).
% 33.07/21.72 tff(3086,plain,
% 33.07/21.72 (v108(constB15)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2572, 568, 3085])).
% 33.07/21.72 tff(3087,plain,
% 33.07/21.72 (v110(constB16)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2583, 3086])).
% 33.07/21.72 tff(3088,plain,
% 33.07/21.72 (v100(constB16)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2615, 3087])).
% 33.07/21.72 tff(3089,plain,
% 33.07/21.72 (~v130(constB15, bitIndex0)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2702, 1168, 3078])).
% 33.07/21.72 tff(3090,plain,
% 33.07/21.72 (~v127(constB15, bitIndex0)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2710, 3089])).
% 33.07/21.72 tff(3091,plain,
% 33.07/21.72 (~v129(constB16, bitIndex0)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2715, 3090])).
% 33.07/21.72 tff(3092,plain,
% 33.07/21.72 ((~v90(constB16, bitIndex0)) | (~v100(constB16))),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2722, 1215, 3091])).
% 33.07/21.72 tff(3093,plain,
% 33.07/21.72 (~v90(constB16, bitIndex0)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3092, 3088])).
% 33.07/21.72 tff(3094,plain,
% 33.07/21.72 (~v90(constB17, bitIndex0)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2732, 3093])).
% 33.07/21.72 tff(3095,plain,
% 33.07/21.72 (v100(constB18)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[2937, 3094, 2930])).
% 33.07/21.72 tff(3096,plain,
% 33.07/21.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3097,plain,
% 33.07/21.72 (((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0)) <=> ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3098,plain,
% 33.07/21.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18))))),
% 33.07/21.72 inference(monotonicity,[status(thm)],[3097])).
% 33.07/21.72 tff(3099,plain,
% 33.07/21.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 33.07/21.72 inference(transitivity,[status(thm)],[3098, 3096])).
% 33.07/21.72 tff(3100,plain,
% 33.07/21.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(3101,plain,
% 33.07/21.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[3100, 3099])).
% 33.07/21.72 tff(3102,plain,
% 33.07/21.72 (v129(constB18, bitIndex0) | (~v100(constB18))),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3101, 1215, 2930])).
% 33.07/21.72 tff(3103,plain,
% 33.07/21.72 (v129(constB18, bitIndex0)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3102, 3095])).
% 33.07/21.72 tff(3104,plain,
% 33.07/21.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3105,plain,
% 33.07/21.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(3106,plain,
% 33.07/21.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0))),
% 33.07/21.72 inference(modus_ponens,[status(thm)],[3105, 3104])).
% 33.07/21.72 tff(3107,plain,
% 33.07/21.72 (v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0))),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3106, 1200, 2756])).
% 33.07/21.72 tff(3108,plain,
% 33.07/21.72 (v127(constB17, bitIndex0)),
% 33.07/21.72 inference(unit_resolution,[status(thm)],[3107, 3103])).
% 33.07/21.72 tff(3109,plain,
% 33.07/21.72 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB17)) | (~v127(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB17)) | (~v127(constB17, bitIndex0)))),
% 33.07/21.72 inference(rewrite,[status(thm)],[])).
% 33.07/21.72 tff(3110,plain,
% 33.07/21.72 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB17)) | (~v127(constB17, bitIndex0)))),
% 33.07/21.72 inference(quant_inst,[status(thm)],[])).
% 33.07/21.72 tff(3111,plain,
% 33.07/21.72 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB17)) | (~v127(constB17, bitIndex0))),
% 33.07/21.73 inference(modus_ponens,[status(thm)],[3110, 3109])).
% 33.07/21.73 tff(3112,plain,
% 33.07/21.73 (~v26(constB17)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3111, 3012, 3108])).
% 33.07/21.73 tff(3113,plain,
% 33.07/21.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 33.07/21.73 inference(rewrite,[status(thm)],[])).
% 33.07/21.73 tff(3114,plain,
% 33.07/21.73 (((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2)) <=> ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 33.07/21.73 inference(rewrite,[status(thm)],[])).
% 33.07/21.73 tff(3115,plain,
% 33.07/21.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18))))),
% 33.07/21.73 inference(monotonicity,[status(thm)],[3114])).
% 33.07/21.73 tff(3116,plain,
% 33.07/21.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 33.07/21.73 inference(transitivity,[status(thm)],[3115, 3113])).
% 33.07/21.73 tff(3117,plain,
% 33.07/21.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2))),
% 33.07/21.73 inference(quant_inst,[status(thm)],[])).
% 33.07/21.73 tff(3118,plain,
% 33.07/21.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18))),
% 33.07/21.73 inference(modus_ponens,[status(thm)],[3117, 3116])).
% 33.07/21.73 tff(3119,plain,
% 33.07/21.73 (v129(constB18, bitIndex2) | (~v100(constB18))),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3118, 722, 3060])).
% 33.07/21.73 tff(3120,plain,
% 33.07/21.73 (v129(constB18, bitIndex2)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3119, 3095])).
% 33.07/21.73 tff(3121,plain,
% 33.07/21.73 (v127(constB17, bitIndex2)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[2760, 3120])).
% 33.07/21.73 tff(3122,plain,
% 33.07/21.73 (v130(constB17, bitIndex2)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[2751, 689, 3121, 3112])).
% 33.07/21.73 tff(3123,plain,
% 33.07/21.73 (~v130(constB15, bitIndex2)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[2619, 1025, 3078])).
% 33.07/21.73 tff(3124,plain,
% 33.07/21.73 (~v127(constB15, bitIndex2)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[2627, 3123])).
% 33.07/21.73 tff(3125,plain,
% 33.07/21.73 (~v129(constB16, bitIndex2)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[2632, 3124])).
% 33.07/21.73 tff(3126,plain,
% 33.07/21.73 ((~v90(constB16, bitIndex2)) | (~v100(constB16))),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[2639, 722, 3125])).
% 33.07/21.73 tff(3127,plain,
% 33.07/21.73 (~v90(constB16, bitIndex2)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3126, 3088])).
% 33.07/21.73 tff(3128,plain,
% 33.07/21.73 (~v90(constB17, bitIndex2)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[2667, 3127])).
% 33.07/21.73 tff(3129,plain,
% 33.07/21.73 (v130(constB15, bitIndex1)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[2671, 1087, 3078])).
% 33.07/21.73 tff(3130,plain,
% 33.07/21.73 (v127(constB15, bitIndex1)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[2676, 3129])).
% 33.07/21.73 tff(3131,plain,
% 33.07/21.73 (v129(constB16, bitIndex1)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[2681, 3130])).
% 33.07/21.73 tff(3132,plain,
% 33.07/21.73 (v90(constB16, bitIndex1) | (~v100(constB16))),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[2688, 1131, 3131])).
% 33.07/21.73 tff(3133,plain,
% 33.07/21.73 (v90(constB16, bitIndex1)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3132, 3088])).
% 33.07/21.73 tff(3134,plain,
% 33.07/21.73 (v90(constB17, bitIndex1)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[2698, 3133])).
% 33.07/21.73 tff(3135,plain,
% 33.07/21.73 (v121(constB17)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[2736, 1242, 3094, 3134, 3128])).
% 33.07/21.73 tff(3136,plain,
% 33.07/21.73 ($false),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[2740, 1342, 3135, 3122])).
% 33.07/21.73 tff(3137,plain,((~v120(constB15)) | (~v90(constB18, bitIndex2)) | (~v90(constB18, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 33.07/21.73 tff(3138,plain,
% 33.07/21.73 (~v120(constB15)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3137, 3060, 2930])).
% 33.07/21.73 tff(3139,plain,
% 33.07/21.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))),
% 33.07/21.73 inference(rewrite,[status(thm)],[])).
% 33.07/21.73 tff(3140,plain,
% 33.07/21.73 ((v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1))) <=> (v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))),
% 33.07/21.73 inference(rewrite,[status(thm)],[])).
% 33.07/21.73 tff(3141,plain,
% 33.07/21.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex1))))),
% 33.07/21.73 inference(monotonicity,[status(thm)],[3140])).
% 33.07/21.73 tff(3142,plain,
% 33.07/21.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))),
% 33.07/21.73 inference(transitivity,[status(thm)],[3141, 3139])).
% 33.07/21.73 tff(3143,plain,
% 33.07/21.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))),
% 33.07/21.73 inference(quant_inst,[status(thm)],[])).
% 33.07/21.73 tff(3144,plain,
% 33.07/21.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex1))),
% 33.07/21.73 inference(modus_ponens,[status(thm)],[3143, 3142])).
% 33.07/21.73 tff(3145,plain,
% 33.07/21.73 (v123(constB15) | v121(constB15) | v119(constB15) | v122(constB15) | v124(constB15) | (~v130(constB15, bitIndex1))),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3144, 2448, 3138])).
% 33.07/21.73 tff(3146,plain,
% 33.07/21.73 ($false),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3145, 3077, 3059, 3051, 3055, 3030, 3026])).
% 33.07/21.73 tff(3147,plain,(v100(constB18) | (~v90(constB18, bitIndex2)) | (~v90(constB18, bitIndex1)) | (~v90(constB18, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 33.07/21.73 tff(3148,plain,
% 33.07/21.73 (~v90(constB18, bitIndex0)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3147, 2929, 2762, 2921])).
% 33.07/21.73 tff(3149,plain,
% 33.07/21.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex0))),
% 33.07/21.73 inference(rewrite,[status(thm)],[])).
% 33.07/21.73 tff(3150,plain,
% 33.07/21.73 (((~nextState(constB17, constB18)) | (~v90(constB17, bitIndex0)) | v100(constB18) | v90(constB18, bitIndex0)) <=> ((~v90(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex0))),
% 33.07/21.73 inference(rewrite,[status(thm)],[])).
% 33.07/21.73 tff(3151,plain,
% 33.07/21.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v90(constB17, bitIndex0)) | v100(constB18) | v90(constB18, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex0)))),
% 33.07/21.73 inference(monotonicity,[status(thm)],[3150])).
% 33.07/21.73 tff(3152,plain,
% 33.07/21.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v90(constB17, bitIndex0)) | v100(constB18) | v90(constB18, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex0))),
% 33.07/21.73 inference(transitivity,[status(thm)],[3151, 3149])).
% 33.07/21.73 tff(3153,plain,
% 33.07/21.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v90(constB17, bitIndex0)) | v100(constB18) | v90(constB18, bitIndex0))),
% 33.07/21.73 inference(quant_inst,[status(thm)],[])).
% 33.07/21.73 tff(3154,plain,
% 33.07/21.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex0)),
% 33.07/21.73 inference(modus_ponens,[status(thm)],[3153, 3152])).
% 33.07/21.73 tff(3155,plain,
% 33.07/21.73 ((~v90(constB17, bitIndex0)) | v100(constB18) | v90(constB18, bitIndex0)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3154, 903, 2756])).
% 33.07/21.73 tff(3156,plain,
% 33.07/21.73 ($false),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3155, 3148, 2913, 2762])).
% 33.07/21.73 tff(3157,plain,(v100(constB18)), inference(lemma,lemma(discharge,[]))).
% 33.07/21.73 tff(3158,plain,
% 33.07/21.73 ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3118, 722, 3157])).
% 33.07/21.73 tff(3159,plain,
% 33.07/21.73 (~v90(constB18, bitIndex2)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3158, 2761])).
% 33.07/21.73 tff(3160,plain,
% 33.07/21.73 ((~v1(constB19)) <=> (~v1(constB19))),
% 33.07/21.73 inference(rewrite,[status(thm)],[])).
% 33.07/21.73 tff(3161,axiom,(~v1(constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 33.07/21.73 tff(3162,plain,
% 33.07/21.73 (~v1(constB19)),
% 33.07/21.73 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 33.07/21.73 tff(3163,plain,
% 33.07/21.73 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 33.07/21.73 inference(rewrite,[status(thm)],[])).
% 33.07/21.73 tff(3164,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 33.07/21.73 tff(3165,plain,
% 33.07/21.73 (nextState(constB18, constB19)),
% 33.07/21.73 inference(modus_ponens,[status(thm)],[3164, 3163])).
% 33.07/21.73 tff(3166,plain,
% 33.07/21.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 33.07/21.73 inference(rewrite,[status(thm)],[])).
% 33.07/21.73 tff(3167,plain,
% 33.07/21.73 (((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 33.07/21.73 inference(rewrite,[status(thm)],[])).
% 33.07/21.73 tff(3168,plain,
% 33.07/21.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))))),
% 33.07/21.73 inference(monotonicity,[status(thm)],[3167])).
% 33.07/21.73 tff(3169,plain,
% 33.07/21.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 33.07/21.73 inference(transitivity,[status(thm)],[3168, 3166])).
% 33.07/21.73 tff(3170,plain,
% 33.07/21.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))),
% 33.07/21.73 inference(quant_inst,[status(thm)],[])).
% 33.07/21.73 tff(3171,plain,
% 33.07/21.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))),
% 33.07/21.73 inference(modus_ponens,[status(thm)],[3170, 3169])).
% 33.07/21.73 tff(3172,plain,
% 33.07/21.73 (~v101(constB19)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3171, 381, 3165, 3162])).
% 33.07/21.73 tff(3173,plain,
% 33.07/21.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 33.07/21.73 inference(rewrite,[status(thm)],[])).
% 33.07/21.73 tff(3174,plain,
% 33.07/21.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 33.07/21.73 inference(quant_inst,[status(thm)],[])).
% 33.07/21.73 tff(3175,plain,
% 33.07/21.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19))),
% 33.07/21.73 inference(modus_ponens,[status(thm)],[3174, 3173])).
% 33.07/21.73 tff(3176,plain,
% 33.07/21.73 (v101(constB19) | (~v100(constB19))),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3175, 398, 3165])).
% 33.07/21.73 tff(3177,plain,
% 33.07/21.73 (~v100(constB19)),
% 33.07/21.73 inference(unit_resolution,[status(thm)],[3176, 3172])).
% 33.07/21.73 tff(3178,plain,
% 33.07/21.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 33.07/21.73 inference(rewrite,[status(thm)],[])).
% 33.07/21.73 tff(3179,plain,
% 33.07/21.73 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))) <=> (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 33.07/21.73 inference(rewrite,[status(thm)],[])).
% 33.07/21.73 tff(3180,plain,
% 33.07/21.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2))))),
% 33.14/21.73 inference(monotonicity,[status(thm)],[3179])).
% 33.14/21.73 tff(3181,plain,
% 33.14/21.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 33.14/21.73 inference(transitivity,[status(thm)],[3180, 3178])).
% 33.14/21.73 tff(3182,plain,
% 33.14/21.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 33.14/21.73 inference(quant_inst,[status(thm)],[])).
% 33.14/21.73 tff(3183,plain,
% 33.14/21.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 33.14/21.73 inference(modus_ponens,[status(thm)],[3182, 3181])).
% 33.14/21.73 tff(3184,plain,
% 33.14/21.73 (v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 33.14/21.73 inference(unit_resolution,[status(thm)],[3183, 413, 3165])).
% 33.14/21.73 tff(3185,plain,
% 33.14/21.73 (v90(constB18, bitIndex2) | (~v90(constB19, bitIndex2))),
% 33.14/21.73 inference(unit_resolution,[status(thm)],[3184, 3177])).
% 33.14/21.73 tff(3186,plain,
% 33.14/21.73 (~v90(constB19, bitIndex2)),
% 33.14/21.73 inference(unit_resolution,[status(thm)],[3185, 3159])).
% 33.14/21.73 tff(3187,plain,
% 33.14/21.73 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB17)) | v130(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB17)) | v130(constB17, bitIndex1))),
% 33.14/21.73 inference(rewrite,[status(thm)],[])).
% 33.14/21.73 tff(3188,plain,
% 33.14/21.73 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB17)) | v130(constB17, bitIndex1))),
% 33.14/21.73 inference(quant_inst,[status(thm)],[])).
% 33.14/21.73 tff(3189,plain,
% 33.14/21.73 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB17)) | v130(constB17, bitIndex1)),
% 33.14/21.73 inference(modus_ponens,[status(thm)],[3188, 3187])).
% 33.14/21.73 tff(3190,plain,
% 33.14/21.73 (v130(constB17, bitIndex1)),
% 33.14/21.73 inference(unit_resolution,[status(thm)],[3189, 1404, 2737])).
% 33.14/21.73 tff(3191,plain,
% 33.14/21.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 33.14/21.73 inference(rewrite,[status(thm)],[])).
% 33.14/21.73 tff(3192,plain,
% 33.14/21.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 33.14/21.73 inference(quant_inst,[status(thm)],[])).
% 33.14/21.73 tff(3193,plain,
% 33.14/21.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1)),
% 33.14/21.73 inference(modus_ponens,[status(thm)],[3192, 3191])).
% 33.14/21.73 tff(3194,plain,
% 33.14/21.73 ((~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1)),
% 33.14/21.73 inference(unit_resolution,[status(thm)],[3193, 1101, 2745])).
% 33.14/21.73 tff(3195,plain,
% 33.14/21.73 (v127(constB17, bitIndex1)),
% 33.14/21.73 inference(unit_resolution,[status(thm)],[3194, 3190])).
% 33.14/21.73 tff(3196,plain,
% 33.14/21.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 33.14/21.73 inference(rewrite,[status(thm)],[])).
% 33.14/21.73 tff(3197,plain,
% 33.14/21.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 33.14/21.73 inference(quant_inst,[status(thm)],[])).
% 33.14/21.73 tff(3198,plain,
% 33.14/21.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 33.14/21.73 inference(modus_ponens,[status(thm)],[3197, 3196])).
% 33.14/21.73 tff(3199,plain,
% 33.14/21.73 ((~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 33.14/21.73 inference(unit_resolution,[status(thm)],[3198, 1116, 2756])).
% 33.14/21.73 tff(3200,plain,
% 33.14/21.73 (v129(constB18, bitIndex1)),
% 33.14/21.73 inference(unit_resolution,[status(thm)],[3199, 3195])).
% 33.14/21.73 tff(3201,plain,
% 33.14/21.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 33.14/21.73 inference(rewrite,[status(thm)],[])).
% 33.14/21.73 tff(3202,plain,
% 33.14/21.73 ((v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1))) <=> (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 33.14/21.73 inference(rewrite,[status(thm)],[])).
% 33.14/21.73 tff(3203,plain,
% 33.14/21.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))))),
% 33.14/21.73 inference(monotonicity,[status(thm)],[3202])).
% 33.14/21.73 tff(3204,plain,
% 33.14/21.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 33.14/21.73 inference(transitivity,[status(thm)],[3203, 3201])).
% 33.14/21.73 tff(3205,plain,
% 33.14/21.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))),
% 33.14/21.73 inference(quant_inst,[status(thm)],[])).
% 33.14/21.73 tff(3206,plain,
% 33.14/21.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))),
% 33.14/21.73 inference(modus_ponens,[status(thm)],[3205, 3204])).
% 33.14/21.73 tff(3207,plain,
% 33.14/21.73 (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1))),
% 33.14/21.73 inference(unit_resolution,[status(thm)],[3206, 1131, 3157])).
% 33.14/21.73 tff(3208,plain,
% 33.14/21.73 (v90(constB18, bitIndex1)),
% 33.14/21.73 inference(unit_resolution,[status(thm)],[3207, 3200])).
% 33.14/21.73 tff(3209,plain,
% 33.14/21.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 33.14/21.73 inference(rewrite,[status(thm)],[])).
% 33.14/21.73 tff(3210,plain,
% 33.14/21.73 (((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)) <=> ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 33.14/21.73 inference(rewrite,[status(thm)],[])).
% 33.14/21.73 tff(3211,plain,
% 33.14/21.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1)))),
% 33.14/21.73 inference(monotonicity,[status(thm)],[3210])).
% 33.14/21.73 tff(3212,plain,
% 33.14/21.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 33.14/21.73 inference(transitivity,[status(thm)],[3211, 3209])).
% 33.14/21.73 tff(3213,plain,
% 33.14/21.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))),
% 33.14/21.73 inference(quant_inst,[status(thm)],[])).
% 33.14/21.73 tff(3214,plain,
% 33.14/21.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1)),
% 33.14/21.73 inference(modus_ponens,[status(thm)],[3213, 3212])).
% 33.14/21.73 tff(3215,plain,
% 33.14/21.73 ((~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)),
% 33.14/21.73 inference(unit_resolution,[status(thm)],[3214, 1149, 3165])).
% 33.14/21.73 tff(3216,plain,
% 33.14/21.73 ((~v90(constB18, bitIndex1)) | v90(constB19, bitIndex1)),
% 33.14/21.73 inference(unit_resolution,[status(thm)],[3215, 3177])).
% 33.14/21.73 tff(3217,plain,
% 33.14/21.73 (v90(constB19, bitIndex1)),
% 33.14/21.73 inference(unit_resolution,[status(thm)],[3216, 3208])).
% 33.14/21.73 tff(3218,plain,
% 33.14/21.73 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB17)) | v130(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB17)) | v130(constB17, bitIndex0))),
% 33.14/21.73 inference(rewrite,[status(thm)],[])).
% 33.14/21.73 tff(3219,plain,
% 33.14/21.73 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB17)) | v130(constB17, bitIndex0))),
% 33.14/21.73 inference(quant_inst,[status(thm)],[])).
% 33.14/21.73 tff(3220,plain,
% 33.14/21.73 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB17)) | v130(constB17, bitIndex0)),
% 33.14/21.73 inference(modus_ponens,[status(thm)],[3219, 3218])).
% 33.14/21.73 tff(3221,plain,
% 33.14/21.73 (v130(constB17, bitIndex0)),
% 33.14/21.73 inference(unit_resolution,[status(thm)],[3220, 1445, 2737])).
% 33.14/21.73 tff(3222,plain,
% 33.14/21.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0))),
% 33.14/21.73 inference(rewrite,[status(thm)],[])).
% 33.14/21.73 tff(3223,plain,
% 33.14/21.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0))),
% 33.14/21.73 inference(quant_inst,[status(thm)],[])).
% 33.14/21.73 tff(3224,plain,
% 33.14/21.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0)),
% 33.14/21.73 inference(modus_ponens,[status(thm)],[3223, 3222])).
% 33.14/21.74 tff(3225,plain,
% 33.14/21.74 ((~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3224, 855, 2745])).
% 33.14/21.74 tff(3226,plain,
% 33.14/21.74 (v127(constB17, bitIndex0)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3225, 3221])).
% 33.14/21.74 tff(3227,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3228,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3229,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0)),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3228, 3227])).
% 33.14/21.74 tff(3230,plain,
% 33.14/21.74 ((~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3229, 870, 2756])).
% 33.14/21.74 tff(3231,plain,
% 33.14/21.74 (v129(constB18, bitIndex0)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3230, 3226])).
% 33.14/21.74 tff(3232,plain,
% 33.14/21.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3233,plain,
% 33.14/21.74 ((v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0))) <=> (v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3234,plain,
% 33.14/21.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18))))),
% 33.14/21.74 inference(monotonicity,[status(thm)],[3233])).
% 33.14/21.74 tff(3235,plain,
% 33.14/21.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))),
% 33.14/21.74 inference(transitivity,[status(thm)],[3234, 3232])).
% 33.14/21.74 tff(3236,plain,
% 33.14/21.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0)))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3237,plain,
% 33.14/21.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18))),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3236, 3235])).
% 33.14/21.74 tff(3238,plain,
% 33.14/21.74 (v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0))),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3237, 885, 3157])).
% 33.14/21.74 tff(3239,plain,
% 33.14/21.74 (v90(constB18, bitIndex0)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3238, 3231])).
% 33.14/21.74 tff(3240,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3241,plain,
% 33.14/21.74 (((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0)) <=> ((~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3242,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0)))),
% 33.14/21.74 inference(monotonicity,[status(thm)],[3241])).
% 33.14/21.74 tff(3243,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))),
% 33.14/21.74 inference(transitivity,[status(thm)],[3242, 3240])).
% 33.14/21.74 tff(3244,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3245,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0)),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3244, 3243])).
% 33.14/21.74 tff(3246,plain,
% 33.14/21.74 ((~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3245, 903, 3165])).
% 33.14/21.74 tff(3247,plain,
% 33.14/21.74 ((~v90(constB18, bitIndex0)) | v90(constB19, bitIndex0)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3246, 3177])).
% 33.14/21.74 tff(3248,plain,
% 33.14/21.74 (v90(constB19, bitIndex0)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3247, 3239])).
% 33.14/21.74 tff(3249,plain,
% 33.14/21.74 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3250,plain,
% 33.14/21.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3251,plain,
% 33.14/21.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19)),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3250, 3249])).
% 33.14/21.74 tff(3252,plain,
% 33.14/21.74 (v122(constB19)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3251, 1486, 3248, 3217, 3186])).
% 33.14/21.74 tff(3253,plain,
% 33.14/21.74 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB19) | (~v122(constB19)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB19) | (~v122(constB19)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3254,plain,
% 33.14/21.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB19) | (~v122(constB19)))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3255,plain,
% 33.14/21.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB19) | (~v122(constB19))),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3254, 3253])).
% 33.14/21.74 tff(3256,plain,
% 33.14/21.74 (v116(constB19)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3255, 1497, 3252])).
% 33.14/21.74 tff(3257,plain,
% 33.14/21.74 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB19) | (~v116(constB19)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB19) | (~v116(constB19)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3258,plain,
% 33.14/21.74 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB19) | (~v116(constB19)))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3259,plain,
% 33.14/21.74 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB19) | (~v116(constB19))),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3258, 3257])).
% 33.14/21.74 tff(3260,plain,
% 33.14/21.74 (v115(constB19)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3259, 520, 3256])).
% 33.14/21.74 tff(3261,plain,
% 33.14/21.74 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB19) | (~v115(constB19)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB19) | (~v115(constB19)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3262,plain,
% 33.14/21.74 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB19) | (~v115(constB19)))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3263,plain,
% 33.14/21.74 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB19) | (~v115(constB19))),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3262, 3261])).
% 33.14/21.74 tff(3264,plain,
% 33.14/21.74 (v114(constB19)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3263, 531, 3260])).
% 33.14/21.74 tff(3265,plain,
% 33.14/21.74 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB19) | (~v114(constB19)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB19) | (~v114(constB19)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3266,plain,
% 33.14/21.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB19) | (~v114(constB19)))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3267,plain,
% 33.14/21.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB19) | (~v114(constB19))),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3266, 3265])).
% 33.14/21.74 tff(3268,plain,
% 33.14/21.74 (v113(constB19)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3267, 542, 3264])).
% 33.14/21.74 tff(3269,assumption,(v26(constB19)), introduced(assumption)).
% 33.14/21.74 tff(3270,plain,
% 33.14/21.74 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB19))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3271,plain,
% 33.14/21.74 ($false),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3270, 120, 3269])).
% 33.14/21.74 tff(3272,plain,(~v26(constB19)), inference(lemma,lemma(discharge,[]))).
% 33.14/21.74 tff(3273,plain,
% 33.14/21.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | v112(constB19) | (~v113(constB19)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3274,plain,
% 33.14/21.74 ((v26(constB19) | (~v113(constB19)) | v112(constB19)) <=> (v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3275,plain,
% 33.14/21.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | v112(constB19) | (~v113(constB19))))),
% 33.14/21.74 inference(monotonicity,[status(thm)],[3274])).
% 33.14/21.74 tff(3276,plain,
% 33.14/21.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 33.14/21.74 inference(transitivity,[status(thm)],[3275, 3273])).
% 33.14/21.74 tff(3277,plain,
% 33.14/21.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3278,plain,
% 33.14/21.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19))),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3277, 3276])).
% 33.14/21.74 tff(3279,plain,
% 33.14/21.74 (v112(constB19) | (~v113(constB19))),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3278, 556, 3272])).
% 33.14/21.74 tff(3280,plain,
% 33.14/21.74 (v112(constB19)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3279, 3268])).
% 33.14/21.74 tff(3281,plain,
% 33.14/21.74 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB19) | (~v112(constB19)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB19) | (~v112(constB19)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3282,plain,
% 33.14/21.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB19) | (~v112(constB19)))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3283,plain,
% 33.14/21.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB19) | (~v112(constB19))),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3282, 3281])).
% 33.14/21.74 tff(3284,plain,
% 33.14/21.74 (v108(constB19)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3283, 568, 3280])).
% 33.14/21.74 tff(3285,plain,
% 33.14/21.74 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3286,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 33.14/21.74 tff(3287,plain,
% 33.14/21.74 (nextState(constB19, constB20)),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3286, 3285])).
% 33.14/21.74 tff(3288,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3289,plain,
% 33.14/21.74 (((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20)) <=> ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3290,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))))),
% 33.14/21.74 inference(monotonicity,[status(thm)],[3289])).
% 33.14/21.74 tff(3291,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 33.14/21.74 inference(transitivity,[status(thm)],[3290, 3288])).
% 33.14/21.74 tff(3292,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3293,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3292, 3291])).
% 33.14/21.74 tff(3294,plain,
% 33.14/21.74 (v110(constB20) | (~v108(constB19))),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3293, 585, 3287])).
% 33.14/21.74 tff(3295,plain,
% 33.14/21.74 (v110(constB20)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3294, 3284])).
% 33.14/21.74 tff(3296,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3297,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3298,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20))),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3297, 3296])).
% 33.14/21.74 tff(3299,plain,
% 33.14/21.74 (~v104(constB20)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3298, 603, 3287, 3162])).
% 33.14/21.74 tff(3300,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3301,plain,
% 33.14/21.74 (((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20)) <=> ((~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3302,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | v102(constB20)))),
% 33.14/21.74 inference(monotonicity,[status(thm)],[3301])).
% 33.14/21.74 tff(3303,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))),
% 33.14/21.74 inference(transitivity,[status(thm)],[3302, 3300])).
% 33.14/21.74 tff(3304,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3305,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | v102(constB20)),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 33.14/21.74 tff(3306,plain,
% 33.14/21.74 (v104(constB20) | v102(constB20)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3305, 617, 3287])).
% 33.14/21.74 tff(3307,plain,
% 33.14/21.74 (v102(constB20)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3306, 3299])).
% 33.14/21.74 tff(3308,plain,
% 33.14/21.74 (v1(constB20) <=> v1(constB20)),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3309,axiom,(v1(constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 33.14/21.74 tff(3310,plain,
% 33.14/21.74 (v1(constB20)),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3309, 3308])).
% 33.14/21.74 tff(3311,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3312,plain,
% 33.14/21.74 (((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20))) <=> ((~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3313,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20))))),
% 33.14/21.74 inference(monotonicity,[status(thm)],[3312])).
% 33.14/21.74 tff(3314,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))),
% 33.14/21.74 inference(transitivity,[status(thm)],[3313, 3311])).
% 33.14/21.74 tff(3315,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3316,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20))),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3315, 3314])).
% 33.14/21.74 tff(3317,plain,
% 33.14/21.74 (v101(constB20) | (~v102(constB20))),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3316, 638, 3287, 3310])).
% 33.14/21.74 tff(3318,plain,
% 33.14/21.74 (v101(constB20)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3317, 3307])).
% 33.14/21.74 tff(3319,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3320,plain,
% 33.14/21.74 (((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20)) <=> ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3321,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))))),
% 33.14/21.74 inference(monotonicity,[status(thm)],[3320])).
% 33.14/21.74 tff(3322,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 33.14/21.74 inference(transitivity,[status(thm)],[3321, 3319])).
% 33.14/21.74 tff(3323,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3324,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3323, 3322])).
% 33.14/21.74 tff(3325,plain,
% 33.14/21.74 (v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3324, 656, 3287])).
% 33.14/21.74 tff(3326,plain,
% 33.14/21.74 (v100(constB20) | (~v110(constB20))),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3325, 3318])).
% 33.14/21.74 tff(3327,plain,
% 33.14/21.74 (v100(constB20)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3326, 3295])).
% 33.14/21.74 tff(3328,plain,
% 33.14/21.74 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB19)) | (~v130(constB19, bitIndex0)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3329,plain,
% 33.14/21.74 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex0)))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3330,plain,
% 33.14/21.74 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB19)) | (~v130(constB19, bitIndex0))),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 33.14/21.74 tff(3331,plain,
% 33.14/21.74 (~v130(constB19, bitIndex0)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3330, 1721, 3252])).
% 33.14/21.74 tff(3332,plain,
% 33.14/21.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3333,plain,
% 33.14/21.74 ((v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0))) <=> ((~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3334,plain,
% 33.14/21.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0)))),
% 33.14/21.74 inference(monotonicity,[status(thm)],[3333])).
% 33.14/21.74 tff(3335,plain,
% 33.14/21.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))),
% 33.14/21.74 inference(transitivity,[status(thm)],[3334, 3332])).
% 33.14/21.74 tff(3336,plain,
% 33.14/21.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0)))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3337,plain,
% 33.14/21.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0)),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3336, 3335])).
% 33.14/21.74 tff(3338,plain,
% 33.14/21.74 ((~v127(constB19, bitIndex0)) | v130(constB19, bitIndex0)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3337, 1182, 3272])).
% 33.14/21.74 tff(3339,plain,
% 33.14/21.74 (~v127(constB19, bitIndex0)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3338, 3331])).
% 33.14/21.74 tff(3340,plain,
% 33.14/21.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3341,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3342,plain,
% 33.14/21.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0))),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3341, 3340])).
% 33.14/21.74 tff(3343,plain,
% 33.14/21.74 (v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0))),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3342, 1200, 3287])).
% 33.14/21.74 tff(3344,plain,
% 33.14/21.74 (~v129(constB20, bitIndex0)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3343, 3339])).
% 33.14/21.74 tff(3345,plain,
% 33.14/21.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3346,plain,
% 33.14/21.74 (((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0)) <=> ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3347,plain,
% 33.14/21.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20))))),
% 33.14/21.74 inference(monotonicity,[status(thm)],[3346])).
% 33.14/21.74 tff(3348,plain,
% 33.14/21.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 33.14/21.74 inference(transitivity,[status(thm)],[3347, 3345])).
% 33.14/21.74 tff(3349,plain,
% 33.14/21.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3350,plain,
% 33.14/21.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20))),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3349, 3348])).
% 33.14/21.74 tff(3351,plain,
% 33.14/21.74 ((~v90(constB20, bitIndex0)) | (~v100(constB20))),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3350, 1215, 3344])).
% 33.14/21.74 tff(3352,plain,
% 33.14/21.74 (~v90(constB20, bitIndex0)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3351, 3327])).
% 33.14/21.74 tff(3353,plain,
% 33.14/21.74 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB19)) | (~v130(constB19, bitIndex1)))),
% 33.14/21.74 inference(rewrite,[status(thm)],[])).
% 33.14/21.74 tff(3354,plain,
% 33.14/21.74 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex1)))),
% 33.14/21.74 inference(quant_inst,[status(thm)],[])).
% 33.14/21.74 tff(3355,plain,
% 33.14/21.74 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB19)) | (~v130(constB19, bitIndex1))),
% 33.14/21.74 inference(modus_ponens,[status(thm)],[3354, 3353])).
% 33.14/21.74 tff(3356,plain,
% 33.14/21.74 (~v130(constB19, bitIndex1)),
% 33.14/21.74 inference(unit_resolution,[status(thm)],[3355, 1677, 3252])).
% 33.14/21.74 tff(3357,plain,
% 33.14/21.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3358,plain,
% 33.14/21.75 ((v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1))) <=> ((~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3359,plain,
% 33.14/21.75 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1)))),
% 33.14/21.75 inference(monotonicity,[status(thm)],[3358])).
% 33.14/21.75 tff(3360,plain,
% 33.14/21.75 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))),
% 33.14/21.75 inference(transitivity,[status(thm)],[3359, 3357])).
% 33.14/21.75 tff(3361,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1)))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3362,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1)),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3361, 3360])).
% 33.14/21.75 tff(3363,plain,
% 33.14/21.75 ((~v127(constB19, bitIndex1)) | v130(constB19, bitIndex1)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3362, 781, 3272])).
% 33.14/21.75 tff(3364,plain,
% 33.14/21.75 (~v127(constB19, bitIndex1)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3363, 3356])).
% 33.14/21.75 tff(3365,plain,
% 33.14/21.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1)))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3366,plain,
% 33.14/21.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1)))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3367,plain,
% 33.14/21.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1))),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3366, 3365])).
% 33.14/21.75 tff(3368,plain,
% 33.14/21.75 (v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1))),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3367, 799, 3287])).
% 33.14/21.75 tff(3369,plain,
% 33.14/21.75 (~v129(constB20, bitIndex1)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3368, 3364])).
% 33.14/21.75 tff(3370,plain,
% 33.14/21.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3371,plain,
% 33.14/21.75 (((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1)) <=> ((~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3372,plain,
% 33.14/21.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20))))),
% 33.14/21.75 inference(monotonicity,[status(thm)],[3371])).
% 33.14/21.75 tff(3373,plain,
% 33.14/21.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))),
% 33.14/21.75 inference(transitivity,[status(thm)],[3372, 3370])).
% 33.14/21.75 tff(3374,plain,
% 33.14/21.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3375,plain,
% 33.14/21.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20))),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3374, 3373])).
% 33.14/21.75 tff(3376,plain,
% 33.14/21.75 ((~v90(constB20, bitIndex1)) | (~v100(constB20))),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3375, 814, 3369])).
% 33.14/21.75 tff(3377,plain,
% 33.14/21.75 (~v90(constB20, bitIndex1)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3376, 3327])).
% 33.14/21.75 tff(3378,assumption,(~v90(constB20, bitIndex0)), introduced(assumption)).
% 33.14/21.75 tff(3379,assumption,(~v90(constB20, bitIndex1)), introduced(assumption)).
% 33.14/21.75 tff(3380,assumption,(~v90(constB20, bitIndex2)), introduced(assumption)).
% 33.14/21.75 tff(3381,assumption,(~v100(constB20)), introduced(assumption)).
% 33.14/21.75 tff(3382,plain,
% 33.14/21.75 (~v110(constB20)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3326, 3381])).
% 33.14/21.75 tff(3383,plain,
% 33.14/21.75 (~v108(constB19)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3294, 3382])).
% 33.14/21.75 tff(3384,plain,
% 33.14/21.75 (~v112(constB19)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3283, 568, 3383])).
% 33.14/21.75 tff(3385,plain,
% 33.14/21.75 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB19) | (~v26(constB19)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB19) | (~v26(constB19)))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3386,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB19) | (~v26(constB19)))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3387,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB19) | (~v26(constB19))),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3386, 3385])).
% 33.14/21.75 tff(3388,plain,
% 33.14/21.75 (~v26(constB19)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3387, 2348, 3383])).
% 33.14/21.75 tff(3389,plain,
% 33.14/21.75 (~v113(constB19)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3278, 556, 3388, 3384])).
% 33.14/21.75 tff(3390,plain,
% 33.14/21.75 (~v114(constB19)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3267, 542, 3389])).
% 33.14/21.75 tff(3391,plain,
% 33.14/21.75 (~v115(constB19)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3263, 531, 3390])).
% 33.14/21.75 tff(3392,plain,
% 33.14/21.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3393,plain,
% 33.14/21.75 (((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex2)) | v100(constB20) | v90(constB20, bitIndex2)) <=> ((~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3394,plain,
% 33.14/21.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex2)) | v100(constB20) | v90(constB20, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2)))),
% 33.14/21.75 inference(monotonicity,[status(thm)],[3393])).
% 33.14/21.75 tff(3395,plain,
% 33.14/21.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex2)) | v100(constB20) | v90(constB20, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2))),
% 33.14/21.75 inference(transitivity,[status(thm)],[3394, 3392])).
% 33.14/21.75 tff(3396,plain,
% 33.14/21.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex2)) | v100(constB20) | v90(constB20, bitIndex2))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3397,plain,
% 33.14/21.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2)),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 33.14/21.75 tff(3398,plain,
% 33.14/21.75 ((~v90(constB19, bitIndex2)) | v100(constB20) | v90(constB20, bitIndex2)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3397, 1658, 3287])).
% 33.14/21.75 tff(3399,plain,
% 33.14/21.75 (~v90(constB19, bitIndex2)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3398, 3381, 3380])).
% 33.14/21.75 tff(3400,plain,
% 33.14/21.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3401,plain,
% 33.14/21.75 (((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex1)) | v100(constB20) | v90(constB20, bitIndex1)) <=> ((~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3402,plain,
% 33.14/21.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex1)) | v100(constB20) | v90(constB20, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1)))),
% 33.14/21.75 inference(monotonicity,[status(thm)],[3401])).
% 33.14/21.75 tff(3403,plain,
% 33.14/21.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex1)) | v100(constB20) | v90(constB20, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1))),
% 33.14/21.75 inference(transitivity,[status(thm)],[3402, 3400])).
% 33.14/21.75 tff(3404,plain,
% 33.14/21.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex1)) | v100(constB20) | v90(constB20, bitIndex1))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3405,plain,
% 33.14/21.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1)),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3404, 3403])).
% 33.14/21.75 tff(3406,plain,
% 33.14/21.75 ((~v90(constB19, bitIndex1)) | v100(constB20) | v90(constB20, bitIndex1)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3405, 1149, 3287])).
% 33.14/21.75 tff(3407,plain,
% 33.14/21.75 (~v90(constB19, bitIndex1)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3406, 3381, 3379])).
% 33.14/21.75 tff(3408,plain,
% 33.14/21.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3409,plain,
% 33.14/21.75 (((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex0)) | v100(constB20) | v90(constB20, bitIndex0)) <=> ((~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3410,plain,
% 33.14/21.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex0)) | v100(constB20) | v90(constB20, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0)))),
% 33.14/21.75 inference(monotonicity,[status(thm)],[3409])).
% 33.14/21.75 tff(3411,plain,
% 33.14/21.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex0)) | v100(constB20) | v90(constB20, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0))),
% 33.14/21.75 inference(transitivity,[status(thm)],[3410, 3408])).
% 33.14/21.75 tff(3412,plain,
% 33.14/21.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex0)) | v100(constB20) | v90(constB20, bitIndex0))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3413,plain,
% 33.14/21.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0)),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3412, 3411])).
% 33.14/21.75 tff(3414,plain,
% 33.14/21.75 ((~v90(constB19, bitIndex0)) | v100(constB20) | v90(constB20, bitIndex0)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3413, 903, 3287])).
% 33.14/21.75 tff(3415,plain,
% 33.14/21.75 (~v90(constB19, bitIndex0)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3414, 3381, 3378])).
% 33.14/21.75 tff(3416,plain,
% 33.14/21.75 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB19) | v90(constB19, bitIndex0) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB19) | v90(constB19, bitIndex0) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3417,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB19) | v90(constB19, bitIndex0) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3418,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB19) | v90(constB19, bitIndex0) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2)),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3417, 3416])).
% 33.14/21.75 tff(3419,plain,
% 33.14/21.75 (v119(constB19)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3418, 476, 3415, 3407, 3399])).
% 33.14/21.75 tff(3420,plain,
% 33.14/21.75 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB19) | (~v119(constB19)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB19) | (~v119(constB19)))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3421,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB19) | (~v119(constB19)))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3422,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB19) | (~v119(constB19))),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3421, 3420])).
% 33.14/21.75 tff(3423,plain,
% 33.14/21.75 (v118(constB19)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3422, 487, 3419])).
% 33.14/21.75 tff(3424,plain,
% 33.14/21.75 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB19) | (~v118(constB19)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB19) | (~v118(constB19)))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3425,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB19) | (~v118(constB19)))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3426,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB19) | (~v118(constB19))),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3425, 3424])).
% 33.14/21.75 tff(3427,plain,
% 33.14/21.75 (v117(constB19)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3426, 498, 3423])).
% 33.14/21.75 tff(3428,plain,
% 33.14/21.75 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB19) | (~v117(constB19)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB19) | (~v117(constB19)))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3429,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB19) | (~v117(constB19)))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3430,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB19) | (~v117(constB19))),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3429, 3428])).
% 33.14/21.75 tff(3431,plain,
% 33.14/21.75 (v116(constB19)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3430, 509, 3427])).
% 33.14/21.75 tff(3432,plain,
% 33.14/21.75 ($false),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3259, 520, 3431, 3391])).
% 33.14/21.75 tff(3433,plain,(v100(constB20) | v90(constB20, bitIndex2) | v90(constB20, bitIndex0) | v90(constB20, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 33.14/21.75 tff(3434,plain,
% 33.14/21.75 (v100(constB20)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3433, 3380, 3378, 3379])).
% 33.14/21.75 tff(3435,plain,
% 33.14/21.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3436,plain,
% 33.14/21.75 ((v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2))) <=> (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3437,plain,
% 33.14/21.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20))))),
% 33.14/21.75 inference(monotonicity,[status(thm)],[3436])).
% 33.14/21.75 tff(3438,plain,
% 33.14/21.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 33.14/21.75 inference(transitivity,[status(thm)],[3437, 3435])).
% 33.14/21.75 tff(3439,plain,
% 33.14/21.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3440,plain,
% 33.14/21.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20))),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3439, 3438])).
% 33.14/21.75 tff(3441,plain,
% 33.14/21.75 (~v129(constB20, bitIndex2)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3440, 1622, 3434, 3380])).
% 33.14/21.75 tff(3442,plain,
% 33.14/21.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3443,plain,
% 33.14/21.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3444,plain,
% 33.14/21.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2)),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3443, 3442])).
% 33.14/21.75 tff(3445,plain,
% 33.14/21.75 ((~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3444, 1607, 3287])).
% 33.14/21.75 tff(3446,plain,
% 33.14/21.75 (~v127(constB19, bitIndex2)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3445, 3441])).
% 33.14/21.75 tff(3447,plain,
% 33.14/21.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3448,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3449,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2)),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3448, 3447])).
% 33.14/21.75 tff(3450,plain,
% 33.14/21.75 ((~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3449, 1592, 3272])).
% 33.14/21.75 tff(3451,plain,
% 33.14/21.75 (~v130(constB19, bitIndex2)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3450, 3446])).
% 33.14/21.75 tff(3452,plain,
% 33.14/21.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3453,plain,
% 33.14/21.75 ((v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0))) <=> (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3454,plain,
% 33.14/21.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20))))),
% 33.14/21.75 inference(monotonicity,[status(thm)],[3453])).
% 33.14/21.75 tff(3455,plain,
% 33.14/21.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 33.14/21.75 inference(transitivity,[status(thm)],[3454, 3452])).
% 33.14/21.75 tff(3456,plain,
% 33.14/21.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3457,plain,
% 33.14/21.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20))),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3456, 3455])).
% 33.14/21.75 tff(3458,plain,
% 33.14/21.75 ((~v129(constB20, bitIndex0)) | (~v100(constB20))),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3457, 885, 3378])).
% 33.14/21.75 tff(3459,plain,
% 33.14/21.75 (~v129(constB20, bitIndex0)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3458, 3434])).
% 33.14/21.75 tff(3460,plain,
% 33.14/21.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3461,plain,
% 33.14/21.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3462,plain,
% 33.14/21.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0)),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3461, 3460])).
% 33.14/21.75 tff(3463,plain,
% 33.14/21.75 ((~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3462, 870, 3287])).
% 33.14/21.75 tff(3464,plain,
% 33.14/21.75 (~v127(constB19, bitIndex0)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3463, 3459])).
% 33.14/21.75 tff(3465,plain,
% 33.14/21.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3466,plain,
% 33.14/21.75 ((v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1))) <=> (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3467,plain,
% 33.14/21.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20))))),
% 33.14/21.75 inference(monotonicity,[status(thm)],[3466])).
% 33.14/21.75 tff(3468,plain,
% 33.14/21.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 33.14/21.75 inference(transitivity,[status(thm)],[3467, 3465])).
% 33.14/21.75 tff(3469,plain,
% 33.14/21.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3470,plain,
% 33.14/21.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20))),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3469, 3468])).
% 33.14/21.75 tff(3471,plain,
% 33.14/21.75 ((~v129(constB20, bitIndex1)) | (~v100(constB20))),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3470, 1131, 3379])).
% 33.14/21.75 tff(3472,plain,
% 33.14/21.75 (~v129(constB20, bitIndex1)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3471, 3434])).
% 33.14/21.75 tff(3473,plain,
% 33.14/21.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3474,plain,
% 33.14/21.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3475,plain,
% 33.14/21.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1)),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3474, 3473])).
% 33.14/21.75 tff(3476,plain,
% 33.14/21.75 ((~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3475, 1116, 3287])).
% 33.14/21.75 tff(3477,plain,
% 33.14/21.75 (~v127(constB19, bitIndex1)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3476, 3472])).
% 33.14/21.75 tff(3478,plain,
% 33.14/21.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))),
% 33.14/21.75 inference(rewrite,[status(thm)],[])).
% 33.14/21.75 tff(3479,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))),
% 33.14/21.75 inference(quant_inst,[status(thm)],[])).
% 33.14/21.75 tff(3480,plain,
% 33.14/21.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0)),
% 33.14/21.75 inference(modus_ponens,[status(thm)],[3479, 3478])).
% 33.14/21.75 tff(3481,plain,
% 33.14/21.75 ((~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3480, 855, 3272])).
% 33.14/21.75 tff(3482,plain,
% 33.14/21.75 (~v130(constB19, bitIndex0)),
% 33.14/21.75 inference(unit_resolution,[status(thm)],[3481, 3464])).
% 33.14/21.75 tff(3483,plain,
% 33.14/21.75 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB19)) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB19)) | v130(constB19, bitIndex0))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3484,plain,
% 33.14/21.76 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB19)) | v130(constB19, bitIndex0))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3485,plain,
% 33.14/21.76 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB19)) | v130(constB19, bitIndex0)),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3484, 3483])).
% 33.14/21.76 tff(3486,plain,
% 33.14/21.76 (~v121(constB19)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3485, 1445, 3482])).
% 33.14/21.76 tff(3487,assumption,(~v26(constB19)), introduced(assumption)).
% 33.14/21.76 tff(3488,assumption,(~v127(constB19, bitIndex0)), introduced(assumption)).
% 33.14/21.76 tff(3489,plain,
% 33.14/21.76 (v26(constB19) | (~v130(constB19, bitIndex0))),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3480, 855, 3488])).
% 33.14/21.76 tff(3490,plain,
% 33.14/21.76 (~v130(constB19, bitIndex0)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3489, 3487])).
% 33.14/21.76 tff(3491,plain,
% 33.14/21.76 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB19)) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB19)) | v130(constB19, bitIndex0))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3492,plain,
% 33.14/21.76 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB19)) | v130(constB19, bitIndex0))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3493,plain,
% 33.14/21.76 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB19)) | v130(constB19, bitIndex0)),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3492, 3491])).
% 33.14/21.76 tff(3494,plain,
% 33.14/21.76 (~v119(constB19)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3493, 841, 3490])).
% 33.14/21.76 tff(3495,assumption,(~v127(constB19, bitIndex1)), introduced(assumption)).
% 33.14/21.76 tff(3496,plain,
% 33.14/21.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3497,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3498,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1)),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3497, 3496])).
% 33.14/21.76 tff(3499,plain,
% 33.14/21.76 (v26(constB19) | (~v130(constB19, bitIndex1))),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3498, 1101, 3495])).
% 33.14/21.76 tff(3500,plain,
% 33.14/21.76 (~v130(constB19, bitIndex1)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3499, 3487])).
% 33.14/21.76 tff(3501,plain,
% 33.14/21.76 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB19)) | v130(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB19)) | v130(constB19, bitIndex1))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3502,plain,
% 33.14/21.76 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB19)) | v130(constB19, bitIndex1))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3503,plain,
% 33.14/21.76 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB19)) | v130(constB19, bitIndex1)),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 33.14/21.76 tff(3504,plain,
% 33.14/21.76 (~v120(constB19)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3503, 1087, 3500])).
% 33.14/21.76 tff(3505,plain,
% 33.14/21.76 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB19)) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB19)) | v130(constB19, bitIndex0))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3506,plain,
% 33.14/21.76 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB19)) | v130(constB19, bitIndex0))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3507,plain,
% 33.14/21.76 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB19)) | v130(constB19, bitIndex0)),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3506, 3505])).
% 33.14/21.76 tff(3508,plain,
% 33.14/21.76 (~v123(constB19)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3507, 1953, 3490])).
% 33.14/21.76 tff(3509,plain,
% 33.14/21.76 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB19)) | v130(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB19)) | v130(constB19, bitIndex1))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3510,plain,
% 33.14/21.76 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB19)) | v130(constB19, bitIndex1))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3511,plain,
% 33.14/21.76 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB19)) | v130(constB19, bitIndex1)),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3510, 3509])).
% 33.14/21.76 tff(3512,plain,
% 33.14/21.76 (~v124(constB19)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3511, 2145, 3500])).
% 33.14/21.76 tff(3513,assumption,(~v121(constB19)), introduced(assumption)).
% 33.14/21.76 tff(3514,assumption,(~v122(constB19)), introduced(assumption)).
% 33.14/21.76 tff(3515,plain,
% 33.14/21.76 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB19) | v123(constB19) | v121(constB19) | v119(constB19) | v122(constB19) | v120(constB19) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB19) | v123(constB19) | v121(constB19) | v119(constB19) | v122(constB19) | v120(constB19) | v130(constB19, bitIndex0))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3516,plain,
% 33.14/21.76 ((v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, bitIndex0)) <=> (v124(constB19) | v123(constB19) | v121(constB19) | v119(constB19) | v122(constB19) | v120(constB19) | v130(constB19, bitIndex0))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3517,plain,
% 33.14/21.76 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB19) | v123(constB19) | v121(constB19) | v119(constB19) | v122(constB19) | v120(constB19) | v130(constB19, bitIndex0)))),
% 33.14/21.76 inference(monotonicity,[status(thm)],[3516])).
% 33.14/21.76 tff(3518,plain,
% 33.14/21.76 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB19) | v123(constB19) | v121(constB19) | v119(constB19) | v122(constB19) | v120(constB19) | v130(constB19, bitIndex0))),
% 33.14/21.76 inference(transitivity,[status(thm)],[3517, 3515])).
% 33.14/21.76 tff(3519,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, bitIndex0))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3520,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB19) | v123(constB19) | v121(constB19) | v119(constB19) | v122(constB19) | v120(constB19) | v130(constB19, bitIndex0)),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3519, 3518])).
% 33.14/21.76 tff(3521,plain,
% 33.14/21.76 (v124(constB19) | v123(constB19) | v119(constB19) | v120(constB19) | v130(constB19, bitIndex0)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3520, 2495, 3514, 3513])).
% 33.14/21.76 tff(3522,plain,
% 33.14/21.76 ($false),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3521, 3512, 3508, 3490, 3504, 3494])).
% 33.14/21.76 tff(3523,plain,(v26(constB19) | v122(constB19) | v121(constB19) | v127(constB19, bitIndex1) | v127(constB19, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 33.14/21.76 tff(3524,plain,
% 33.14/21.76 (v122(constB19)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3523, 3486, 3272, 3477, 3464])).
% 33.14/21.76 tff(3525,plain,
% 33.14/21.76 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB19)) | v130(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB19)) | v130(constB19, bitIndex2))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3526,plain,
% 33.14/21.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB19)) | v130(constB19, bitIndex2))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3527,plain,
% 33.14/21.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB19)) | v130(constB19, bitIndex2)),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3526, 3525])).
% 33.14/21.76 tff(3528,plain,
% 33.14/21.76 ($false),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3527, 1578, 3524, 3451])).
% 33.14/21.76 tff(3529,plain,(v90(constB20, bitIndex2) | v90(constB20, bitIndex1) | v90(constB20, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 33.14/21.76 tff(3530,plain,
% 33.14/21.76 (v90(constB20, bitIndex2)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3529, 3379, 3378])).
% 33.14/21.76 tff(3531,plain,
% 33.14/21.76 ((~v1(constB21)) <=> (~v1(constB21))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3532,axiom,(~v1(constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 33.14/21.76 tff(3533,plain,
% 33.14/21.76 (~v1(constB21)),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3532, 3531])).
% 33.14/21.76 tff(3534,plain,
% 33.14/21.76 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3535,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 33.14/21.76 tff(3536,plain,
% 33.14/21.76 (nextState(constB20, constB21)),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3535, 3534])).
% 33.14/21.76 tff(3537,plain,
% 33.14/21.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3538,plain,
% 33.14/21.76 (((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3539,plain,
% 33.14/21.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))))),
% 33.14/21.76 inference(monotonicity,[status(thm)],[3538])).
% 33.14/21.76 tff(3540,plain,
% 33.14/21.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 33.14/21.76 inference(transitivity,[status(thm)],[3539, 3537])).
% 33.14/21.76 tff(3541,plain,
% 33.14/21.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3542,plain,
% 33.14/21.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3541, 3540])).
% 33.14/21.76 tff(3543,plain,
% 33.14/21.76 (~v101(constB21)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3542, 381, 3536, 3533])).
% 33.14/21.76 tff(3544,plain,
% 33.14/21.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3545,plain,
% 33.14/21.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3546,plain,
% 33.14/21.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21))),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3545, 3544])).
% 33.14/21.76 tff(3547,plain,
% 33.14/21.76 (v101(constB21) | (~v100(constB21))),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3546, 398, 3536])).
% 33.14/21.76 tff(3548,plain,
% 33.14/21.76 (~v100(constB21)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3547, 3543])).
% 33.14/21.76 tff(3549,plain,
% 33.14/21.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3550,plain,
% 33.14/21.76 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1))) <=> (v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3551,plain,
% 33.14/21.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1))))),
% 33.14/21.76 inference(monotonicity,[status(thm)],[3550])).
% 33.14/21.76 tff(3552,plain,
% 33.14/21.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 33.14/21.76 inference(transitivity,[status(thm)],[3551, 3549])).
% 33.14/21.76 tff(3553,plain,
% 33.14/21.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3554,plain,
% 33.14/21.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1))),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3553, 3552])).
% 33.14/21.76 tff(3555,plain,
% 33.14/21.76 (v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1))),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3554, 434, 3536])).
% 33.14/21.76 tff(3556,plain,
% 33.14/21.76 (v90(constB20, bitIndex1) | (~v90(constB21, bitIndex1))),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3555, 3548])).
% 33.14/21.76 tff(3557,plain,
% 33.14/21.76 (~v90(constB21, bitIndex1)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3556, 3379])).
% 33.14/21.76 tff(3558,assumption,(~v123(constB21)), introduced(assumption)).
% 33.14/21.76 tff(3559,plain,
% 33.14/21.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3560,plain,
% 33.14/21.76 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0))) <=> (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3561,plain,
% 33.14/21.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0))))),
% 33.14/21.76 inference(monotonicity,[status(thm)],[3560])).
% 33.14/21.76 tff(3562,plain,
% 33.14/21.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 33.14/21.76 inference(transitivity,[status(thm)],[3561, 3559])).
% 33.14/21.76 tff(3563,plain,
% 33.14/21.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3564,plain,
% 33.14/21.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0))),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3563, 3562])).
% 33.14/21.76 tff(3565,plain,
% 33.14/21.76 (v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0))),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3564, 455, 3536])).
% 33.14/21.76 tff(3566,plain,
% 33.14/21.76 (v90(constB20, bitIndex0) | (~v90(constB21, bitIndex0))),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3565, 3548])).
% 33.14/21.76 tff(3567,plain,
% 33.14/21.76 (~v90(constB21, bitIndex0)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3566, 3378])).
% 33.14/21.76 tff(3568,plain,
% 33.14/21.76 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3569,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3570,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21)),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3569, 3568])).
% 33.14/21.76 tff(3571,plain,
% 33.14/21.76 (v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2))),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3570, 1765, 3567, 3558])).
% 33.14/21.76 tff(3572,plain,
% 33.14/21.76 (~v90(constB21, bitIndex2)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3571, 3557])).
% 33.14/21.76 tff(3573,plain,
% 33.14/21.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3574,plain,
% 33.14/21.76 (((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2)) <=> ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3575,plain,
% 33.14/21.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2)))),
% 33.14/21.76 inference(monotonicity,[status(thm)],[3574])).
% 33.14/21.76 tff(3576,plain,
% 33.14/21.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 33.14/21.76 inference(transitivity,[status(thm)],[3575, 3573])).
% 33.14/21.76 tff(3577,plain,
% 33.14/21.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3578,plain,
% 33.14/21.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2)),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3577, 3576])).
% 33.14/21.76 tff(3579,plain,
% 33.14/21.76 ((~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3578, 1658, 3536])).
% 33.14/21.76 tff(3580,plain,
% 33.14/21.76 ((~v90(constB20, bitIndex2)) | v90(constB21, bitIndex2)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3579, 3548])).
% 33.14/21.76 tff(3581,plain,
% 33.14/21.76 ($false),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3580, 3572, 3530])).
% 33.14/21.76 tff(3582,plain,(v90(constB20, bitIndex1) | v123(constB21) | v90(constB20, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 33.14/21.76 tff(3583,plain,
% 33.14/21.76 (v123(constB21)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3582, 3377, 3352])).
% 33.14/21.76 tff(3584,plain,
% 33.14/21.76 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB21) | (~v123(constB21)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB21) | (~v123(constB21)))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3585,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB21) | (~v123(constB21)))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3586,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB21) | (~v123(constB21))),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3585, 3584])).
% 33.14/21.76 tff(3587,plain,
% 33.14/21.76 (v115(constB21)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3586, 1776, 3583])).
% 33.14/21.76 tff(3588,plain,
% 33.14/21.76 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB21) | (~v115(constB21)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB21) | (~v115(constB21)))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3589,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB21) | (~v115(constB21)))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3590,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB21) | (~v115(constB21))),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3589, 3588])).
% 33.14/21.76 tff(3591,plain,
% 33.14/21.76 (v114(constB21)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3590, 531, 3587])).
% 33.14/21.76 tff(3592,plain,
% 33.14/21.76 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB21) | (~v114(constB21)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB21) | (~v114(constB21)))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3593,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB21) | (~v114(constB21)))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3594,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB21) | (~v114(constB21))),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3593, 3592])).
% 33.14/21.76 tff(3595,plain,
% 33.14/21.76 (v113(constB21)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3594, 542, 3591])).
% 33.14/21.76 tff(3596,assumption,(v26(constB21)), introduced(assumption)).
% 33.14/21.76 tff(3597,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB21))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3598,plain,
% 33.14/21.76 ($false),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3597, 120, 3596])).
% 33.14/21.76 tff(3599,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 33.14/21.76 tff(3600,plain,
% 33.14/21.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | v112(constB21) | (~v113(constB21)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3601,plain,
% 33.14/21.76 ((v26(constB21) | (~v113(constB21)) | v112(constB21)) <=> (v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3602,plain,
% 33.14/21.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | v112(constB21) | (~v113(constB21))))),
% 33.14/21.76 inference(monotonicity,[status(thm)],[3601])).
% 33.14/21.76 tff(3603,plain,
% 33.14/21.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 33.14/21.76 inference(transitivity,[status(thm)],[3602, 3600])).
% 33.14/21.76 tff(3604,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3605,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21))),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3604, 3603])).
% 33.14/21.76 tff(3606,plain,
% 33.14/21.76 (v112(constB21) | (~v113(constB21))),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3605, 556, 3599])).
% 33.14/21.76 tff(3607,plain,
% 33.14/21.76 (v112(constB21)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3606, 3595])).
% 33.14/21.76 tff(3608,plain,
% 33.14/21.76 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB21) | (~v112(constB21)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB21) | (~v112(constB21)))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3609,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB21) | (~v112(constB21)))),
% 33.14/21.76 inference(quant_inst,[status(thm)],[])).
% 33.14/21.76 tff(3610,plain,
% 33.14/21.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB21) | (~v112(constB21))),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3609, 3608])).
% 33.14/21.76 tff(3611,plain,
% 33.14/21.76 (v108(constB21)),
% 33.14/21.76 inference(unit_resolution,[status(thm)],[3610, 568, 3607])).
% 33.14/21.76 tff(3612,plain,
% 33.14/21.76 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3613,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 33.14/21.76 tff(3614,plain,
% 33.14/21.76 (nextState(constB21, constB22)),
% 33.14/21.76 inference(modus_ponens,[status(thm)],[3613, 3612])).
% 33.14/21.76 tff(3615,plain,
% 33.14/21.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3616,plain,
% 33.14/21.76 (((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22)) <=> ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 33.14/21.76 inference(rewrite,[status(thm)],[])).
% 33.14/21.76 tff(3617,plain,
% 33.14/21.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))))),
% 33.14/21.77 inference(monotonicity,[status(thm)],[3616])).
% 33.14/21.77 tff(3618,plain,
% 33.14/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 33.14/21.77 inference(transitivity,[status(thm)],[3617, 3615])).
% 33.14/21.77 tff(3619,plain,
% 33.14/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))),
% 33.14/21.77 inference(quant_inst,[status(thm)],[])).
% 33.14/21.77 tff(3620,plain,
% 33.14/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))),
% 33.14/21.77 inference(modus_ponens,[status(thm)],[3619, 3618])).
% 33.14/21.77 tff(3621,plain,
% 33.14/21.77 (v110(constB22) | (~v108(constB21))),
% 33.14/21.77 inference(unit_resolution,[status(thm)],[3620, 585, 3614])).
% 33.14/21.77 tff(3622,plain,
% 33.14/21.77 (v110(constB22)),
% 33.14/21.77 inference(unit_resolution,[status(thm)],[3621, 3611])).
% 33.14/21.77 tff(3623,plain,
% 33.14/21.77 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 33.14/21.77 inference(rewrite,[status(thm)],[])).
% 33.14/21.77 tff(3624,plain,
% 33.14/21.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 33.14/21.77 inference(quant_inst,[status(thm)],[])).
% 33.14/21.77 tff(3625,plain,
% 33.14/21.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22))),
% 33.14/21.77 inference(modus_ponens,[status(thm)],[3624, 3623])).
% 33.14/21.77 tff(3626,plain,
% 33.14/21.77 (~v104(constB22)),
% 33.14/21.77 inference(unit_resolution,[status(thm)],[3625, 603, 3614, 3533])).
% 33.14/21.77 tff(3627,plain,
% 33.14/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))),
% 33.14/21.77 inference(rewrite,[status(thm)],[])).
% 33.14/21.77 tff(3628,plain,
% 33.14/21.77 (((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22)) <=> ((~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))),
% 33.14/21.77 inference(rewrite,[status(thm)],[])).
% 33.14/21.77 tff(3629,plain,
% 33.14/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | v102(constB22)))),
% 33.14/21.77 inference(monotonicity,[status(thm)],[3628])).
% 33.14/21.77 tff(3630,plain,
% 33.14/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))),
% 33.14/21.77 inference(transitivity,[status(thm)],[3629, 3627])).
% 33.14/21.77 tff(3631,plain,
% 33.14/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 33.14/21.77 inference(quant_inst,[status(thm)],[])).
% 33.14/21.77 tff(3632,plain,
% 33.14/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | v102(constB22)),
% 33.14/21.77 inference(modus_ponens,[status(thm)],[3631, 3630])).
% 33.14/21.77 tff(3633,plain,
% 33.14/21.77 (v104(constB22) | v102(constB22)),
% 33.14/21.77 inference(unit_resolution,[status(thm)],[3632, 617, 3614])).
% 33.14/21.77 tff(3634,plain,
% 33.14/21.77 (v102(constB22)),
% 33.14/21.77 inference(unit_resolution,[status(thm)],[3633, 3626])).
% 33.14/21.77 tff(3635,plain,
% 33.14/21.77 (v1(constB22) <=> v1(constB22)),
% 33.14/21.77 inference(rewrite,[status(thm)],[])).
% 33.14/21.77 tff(3636,axiom,(v1(constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 33.14/21.77 tff(3637,plain,
% 33.14/21.77 (v1(constB22)),
% 33.14/21.77 inference(modus_ponens,[status(thm)],[3636, 3635])).
% 33.14/21.77 tff(3638,plain,
% 33.14/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))),
% 33.14/21.77 inference(rewrite,[status(thm)],[])).
% 33.14/21.77 tff(3639,plain,
% 33.14/21.77 (((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22))) <=> ((~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))),
% 33.14/21.77 inference(rewrite,[status(thm)],[])).
% 33.14/21.77 tff(3640,plain,
% 33.14/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22))))),
% 33.18/21.77 inference(monotonicity,[status(thm)],[3639])).
% 33.18/21.77 tff(3641,plain,
% 33.18/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))),
% 33.18/21.77 inference(transitivity,[status(thm)],[3640, 3638])).
% 33.18/21.77 tff(3642,plain,
% 33.18/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 33.18/21.77 inference(quant_inst,[status(thm)],[])).
% 33.18/21.77 tff(3643,plain,
% 33.18/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22))),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3642, 3641])).
% 33.18/21.77 tff(3644,plain,
% 33.18/21.77 (v101(constB22) | (~v102(constB22))),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3643, 638, 3614, 3637])).
% 33.18/21.77 tff(3645,plain,
% 33.18/21.77 (v101(constB22)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3644, 3634])).
% 33.18/21.77 tff(3646,plain,
% 33.18/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3647,plain,
% 33.18/21.77 (((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22)) <=> ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3648,plain,
% 33.18/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))))),
% 33.18/21.77 inference(monotonicity,[status(thm)],[3647])).
% 33.18/21.77 tff(3649,plain,
% 33.18/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 33.18/21.77 inference(transitivity,[status(thm)],[3648, 3646])).
% 33.18/21.77 tff(3650,plain,
% 33.18/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))),
% 33.18/21.77 inference(quant_inst,[status(thm)],[])).
% 33.18/21.77 tff(3651,plain,
% 33.18/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3650, 3649])).
% 33.18/21.77 tff(3652,plain,
% 33.18/21.77 (v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3651, 656, 3614])).
% 33.18/21.77 tff(3653,plain,
% 33.18/21.77 (v100(constB22) | (~v110(constB22))),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3652, 3645])).
% 33.18/21.77 tff(3654,plain,
% 33.18/21.77 (v100(constB22)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3653, 3622])).
% 33.18/21.77 tff(3655,plain,
% 33.18/21.77 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB21)) | v130(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB21)) | v130(constB21, bitIndex2))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3656,plain,
% 33.18/21.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB21)) | v130(constB21, bitIndex2))),
% 33.18/21.77 inference(quant_inst,[status(thm)],[])).
% 33.18/21.77 tff(3657,plain,
% 33.18/21.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB21)) | v130(constB21, bitIndex2)),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3656, 3655])).
% 33.18/21.77 tff(3658,plain,
% 33.18/21.77 (v130(constB21, bitIndex2)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3657, 1850, 3583])).
% 33.18/21.77 tff(3659,plain,
% 33.18/21.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3660,plain,
% 33.18/21.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 33.18/21.77 inference(quant_inst,[status(thm)],[])).
% 33.18/21.77 tff(3661,plain,
% 33.18/21.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3660, 3659])).
% 33.18/21.77 tff(3662,plain,
% 33.18/21.77 ((~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3661, 1592, 3599])).
% 33.18/21.77 tff(3663,plain,
% 33.18/21.77 (v127(constB21, bitIndex2)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3662, 3658])).
% 33.18/21.77 tff(3664,plain,
% 33.18/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3665,plain,
% 33.18/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 33.18/21.77 inference(quant_inst,[status(thm)],[])).
% 33.18/21.77 tff(3666,plain,
% 33.18/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3665, 3664])).
% 33.18/21.77 tff(3667,plain,
% 33.18/21.77 ((~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3666, 1607, 3614])).
% 33.18/21.77 tff(3668,plain,
% 33.18/21.77 (v129(constB22, bitIndex2)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3667, 3663])).
% 33.18/21.77 tff(3669,plain,
% 33.18/21.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3670,plain,
% 33.18/21.77 ((v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2))) <=> (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3671,plain,
% 33.18/21.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))))),
% 33.18/21.77 inference(monotonicity,[status(thm)],[3670])).
% 33.18/21.77 tff(3672,plain,
% 33.18/21.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 33.18/21.77 inference(transitivity,[status(thm)],[3671, 3669])).
% 33.18/21.77 tff(3673,plain,
% 33.18/21.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))),
% 33.18/21.77 inference(quant_inst,[status(thm)],[])).
% 33.18/21.77 tff(3674,plain,
% 33.18/21.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3673, 3672])).
% 33.18/21.77 tff(3675,plain,
% 33.18/21.77 (v90(constB22, bitIndex2) | (~v100(constB22))),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3674, 1622, 3668])).
% 33.18/21.77 tff(3676,plain,
% 33.18/21.77 (v90(constB22, bitIndex2)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3675, 3654])).
% 33.18/21.77 tff(3677,plain,
% 33.18/21.77 ((~v1(constB23)) <=> (~v1(constB23))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3678,axiom,(~v1(constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 33.18/21.77 tff(3679,plain,
% 33.18/21.77 (~v1(constB23)),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3678, 3677])).
% 33.18/21.77 tff(3680,plain,
% 33.18/21.77 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3681,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 33.18/21.77 tff(3682,plain,
% 33.18/21.77 (nextState(constB22, constB23)),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3681, 3680])).
% 33.18/21.77 tff(3683,plain,
% 33.18/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3684,plain,
% 33.18/21.77 (((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3685,plain,
% 33.18/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))))),
% 33.18/21.77 inference(monotonicity,[status(thm)],[3684])).
% 33.18/21.77 tff(3686,plain,
% 33.18/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 33.18/21.77 inference(transitivity,[status(thm)],[3685, 3683])).
% 33.18/21.77 tff(3687,plain,
% 33.18/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))),
% 33.18/21.77 inference(quant_inst,[status(thm)],[])).
% 33.18/21.77 tff(3688,plain,
% 33.18/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3687, 3686])).
% 33.18/21.77 tff(3689,plain,
% 33.18/21.77 (~v101(constB23)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3688, 381, 3682, 3679])).
% 33.18/21.77 tff(3690,plain,
% 33.18/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3691,plain,
% 33.18/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 33.18/21.77 inference(quant_inst,[status(thm)],[])).
% 33.18/21.77 tff(3692,plain,
% 33.18/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23))),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3691, 3690])).
% 33.18/21.77 tff(3693,plain,
% 33.18/21.77 (v101(constB23) | (~v100(constB23))),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3692, 398, 3682])).
% 33.18/21.77 tff(3694,plain,
% 33.18/21.77 (~v100(constB23)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3693, 3689])).
% 33.18/21.77 tff(3695,plain,
% 33.18/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3696,plain,
% 33.18/21.77 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)) <=> ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3697,plain,
% 33.18/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2)))),
% 33.18/21.77 inference(monotonicity,[status(thm)],[3696])).
% 33.18/21.77 tff(3698,plain,
% 33.18/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 33.18/21.77 inference(transitivity,[status(thm)],[3697, 3695])).
% 33.18/21.77 tff(3699,plain,
% 33.18/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))),
% 33.18/21.77 inference(quant_inst,[status(thm)],[])).
% 33.18/21.77 tff(3700,plain,
% 33.18/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2)),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3699, 3698])).
% 33.18/21.77 tff(3701,plain,
% 33.18/21.77 ((~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3700, 1658, 3682])).
% 33.18/21.77 tff(3702,plain,
% 33.18/21.77 ((~v90(constB22, bitIndex2)) | v90(constB23, bitIndex2)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3701, 3694])).
% 33.18/21.77 tff(3703,plain,
% 33.18/21.77 (v90(constB23, bitIndex2)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3702, 3676])).
% 33.18/21.77 tff(3704,plain,
% 33.18/21.77 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB21)) | (~v130(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB21)) | (~v130(constB21, bitIndex1)))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3705,plain,
% 33.18/21.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB21)) | (~v130(constB21, bitIndex1)))),
% 33.18/21.77 inference(quant_inst,[status(thm)],[])).
% 33.18/21.77 tff(3706,plain,
% 33.18/21.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB21)) | (~v130(constB21, bitIndex1))),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3705, 3704])).
% 33.18/21.77 tff(3707,plain,
% 33.18/21.77 (~v130(constB21, bitIndex1)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3706, 1909, 3583])).
% 33.18/21.77 tff(3708,assumption,(v127(constB21, bitIndex1)), introduced(assumption)).
% 33.18/21.77 tff(3709,assumption,(~v130(constB21, bitIndex1)), introduced(assumption)).
% 33.18/21.77 tff(3710,plain,
% 33.18/21.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3711,plain,
% 33.18/21.77 ((v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1))) <=> ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3712,plain,
% 33.18/21.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)))),
% 33.18/21.77 inference(monotonicity,[status(thm)],[3711])).
% 33.18/21.77 tff(3713,plain,
% 33.18/21.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 33.18/21.77 inference(transitivity,[status(thm)],[3712, 3710])).
% 33.18/21.77 tff(3714,plain,
% 33.18/21.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))),
% 33.18/21.77 inference(quant_inst,[status(thm)],[])).
% 33.18/21.77 tff(3715,plain,
% 33.18/21.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3714, 3713])).
% 33.18/21.77 tff(3716,plain,
% 33.18/21.77 ((~v127(constB21, bitIndex1)) | v26(constB21)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3715, 781, 3709])).
% 33.18/21.77 tff(3717,plain,
% 33.18/21.77 (v26(constB21)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3716, 3708])).
% 33.18/21.77 tff(3718,plain,
% 33.18/21.77 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))))),
% 33.18/21.77 inference(bind,[status(th)],[])).
% 33.18/21.77 tff(3719,plain,
% 33.18/21.77 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 33.18/21.77 inference(quant_intro,[status(thm)],[3718])).
% 33.18/21.77 tff(3720,plain,
% 33.18/21.77 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3721,plain,
% 33.18/21.77 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))))),
% 33.18/21.77 inference(bind,[status(th)],[])).
% 33.18/21.77 tff(3722,plain,
% 33.18/21.77 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 33.18/21.77 inference(quant_intro,[status(thm)],[3721])).
% 33.18/21.77 tff(3723,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_2')).
% 33.18/21.77 tff(3724,plain,
% 33.18/21.77 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3723, 3722])).
% 33.18/21.77 tff(3725,plain,
% 33.18/21.77 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3724, 3720])).
% 33.18/21.77 tff(3726,plain,(
% 33.18/21.77 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 33.18/21.77 inference(skolemize,[status(sab)],[3725])).
% 33.18/21.77 tff(3727,plain,
% 33.18/21.77 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3726, 3719])).
% 33.18/21.77 tff(3728,plain,
% 33.18/21.77 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB21)) | (~v127(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB21)) | (~v127(constB21, bitIndex1)))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3729,plain,
% 33.18/21.77 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB21)) | (~v127(constB21, bitIndex1)))),
% 33.18/21.77 inference(quant_inst,[status(thm)],[])).
% 33.18/21.77 tff(3730,plain,
% 33.18/21.77 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB21)) | (~v127(constB21, bitIndex1))),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 33.18/21.77 tff(3731,plain,
% 33.18/21.77 ($false),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3730, 3727, 3708, 3717])).
% 33.18/21.77 tff(3732,plain,((~v127(constB21, bitIndex1)) | v130(constB21, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 33.18/21.77 tff(3733,plain,
% 33.18/21.77 (~v127(constB21, bitIndex1)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3732, 3707])).
% 33.18/21.77 tff(3734,plain,
% 33.18/21.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3735,plain,
% 33.18/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 33.18/21.77 inference(quant_inst,[status(thm)],[])).
% 33.18/21.77 tff(3736,plain,
% 33.18/21.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 33.18/21.77 inference(modus_ponens,[status(thm)],[3735, 3734])).
% 33.18/21.77 tff(3737,plain,
% 33.18/21.77 (v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3736, 799, 3614])).
% 33.18/21.77 tff(3738,plain,
% 33.18/21.77 (~v129(constB22, bitIndex1)),
% 33.18/21.77 inference(unit_resolution,[status(thm)],[3737, 3733])).
% 33.18/21.77 tff(3739,plain,
% 33.18/21.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3740,plain,
% 33.18/21.77 (((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1)) <=> ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 33.18/21.77 inference(rewrite,[status(thm)],[])).
% 33.18/21.77 tff(3741,plain,
% 33.18/21.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))))),
% 33.18/21.78 inference(monotonicity,[status(thm)],[3740])).
% 33.18/21.78 tff(3742,plain,
% 33.18/21.78 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 33.18/21.78 inference(transitivity,[status(thm)],[3741, 3739])).
% 33.18/21.78 tff(3743,plain,
% 33.18/21.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3744,plain,
% 33.18/21.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3743, 3742])).
% 33.18/21.78 tff(3745,plain,
% 33.18/21.78 ((~v90(constB22, bitIndex1)) | (~v100(constB22))),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3744, 814, 3738])).
% 33.18/21.78 tff(3746,plain,
% 33.18/21.78 (~v90(constB22, bitIndex1)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3745, 3654])).
% 33.18/21.78 tff(3747,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3748,plain,
% 33.18/21.78 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))) <=> (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3749,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1))))),
% 33.18/21.78 inference(monotonicity,[status(thm)],[3748])).
% 33.18/21.78 tff(3750,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 33.18/21.78 inference(transitivity,[status(thm)],[3749, 3747])).
% 33.18/21.78 tff(3751,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3752,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3751, 3750])).
% 33.18/21.78 tff(3753,plain,
% 33.18/21.78 (v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3752, 434, 3682])).
% 33.18/21.78 tff(3754,plain,
% 33.18/21.78 (v90(constB22, bitIndex1) | (~v90(constB23, bitIndex1))),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3753, 3694])).
% 33.18/21.78 tff(3755,plain,
% 33.18/21.78 (~v90(constB23, bitIndex1)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3754, 3746])).
% 33.18/21.78 tff(3756,plain,
% 33.18/21.78 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB21)) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB21)) | v130(constB21, bitIndex0))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3757,plain,
% 33.18/21.78 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB21)) | v130(constB21, bitIndex0))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3758,plain,
% 33.18/21.78 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB21)) | v130(constB21, bitIndex0)),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3757, 3756])).
% 33.18/21.78 tff(3759,plain,
% 33.18/21.78 (v130(constB21, bitIndex0)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3758, 1953, 3583])).
% 33.18/21.78 tff(3760,plain,
% 33.18/21.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3761,plain,
% 33.18/21.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3762,plain,
% 33.18/21.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0)),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3761, 3760])).
% 33.18/21.78 tff(3763,plain,
% 33.18/21.78 ((~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3762, 855, 3599])).
% 33.18/21.78 tff(3764,plain,
% 33.18/21.78 (v127(constB21, bitIndex0)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3763, 3759])).
% 33.18/21.78 tff(3765,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3766,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3767,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0)),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3766, 3765])).
% 33.18/21.78 tff(3768,plain,
% 33.18/21.78 ((~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3767, 870, 3614])).
% 33.18/21.78 tff(3769,plain,
% 33.18/21.78 (v129(constB22, bitIndex0)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3768, 3764])).
% 33.18/21.78 tff(3770,plain,
% 33.18/21.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3771,plain,
% 33.18/21.78 ((v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0))) <=> (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3772,plain,
% 33.18/21.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22))))),
% 33.18/21.78 inference(monotonicity,[status(thm)],[3771])).
% 33.18/21.78 tff(3773,plain,
% 33.18/21.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 33.18/21.78 inference(transitivity,[status(thm)],[3772, 3770])).
% 33.18/21.78 tff(3774,plain,
% 33.18/21.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3775,plain,
% 33.18/21.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22))),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3774, 3773])).
% 33.18/21.78 tff(3776,plain,
% 33.18/21.78 (v90(constB22, bitIndex0) | (~v100(constB22))),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3775, 885, 3769])).
% 33.18/21.78 tff(3777,plain,
% 33.18/21.78 (v90(constB22, bitIndex0)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3776, 3654])).
% 33.18/21.78 tff(3778,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3779,plain,
% 33.18/21.78 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0)) <=> ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3780,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0)))),
% 33.18/21.78 inference(monotonicity,[status(thm)],[3779])).
% 33.18/21.78 tff(3781,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 33.18/21.78 inference(transitivity,[status(thm)],[3780, 3778])).
% 33.18/21.78 tff(3782,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3783,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0)),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3782, 3781])).
% 33.18/21.78 tff(3784,plain,
% 33.18/21.78 ((~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3783, 903, 3682])).
% 33.18/21.78 tff(3785,plain,
% 33.18/21.78 ((~v90(constB22, bitIndex0)) | v90(constB23, bitIndex0)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3784, 3694])).
% 33.18/21.78 tff(3786,plain,
% 33.18/21.78 (v90(constB23, bitIndex0)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3785, 3777])).
% 33.18/21.78 tff(3787,plain,
% 33.18/21.78 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3788,plain,
% 33.18/21.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3789,plain,
% 33.18/21.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23)),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3788, 3787])).
% 33.18/21.78 tff(3790,plain,
% 33.18/21.78 (v124(constB23)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3789, 1994, 3786, 3755, 3703])).
% 33.18/21.78 tff(3791,plain,
% 33.18/21.78 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB23) | (~v124(constB23)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB23) | (~v124(constB23)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3792,plain,
% 33.18/21.78 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB23) | (~v124(constB23)))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3793,plain,
% 33.18/21.78 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB23) | (~v124(constB23))),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3792, 3791])).
% 33.18/21.78 tff(3794,plain,
% 33.18/21.78 (v114(constB23)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3793, 2005, 3790])).
% 33.18/21.78 tff(3795,plain,
% 33.18/21.78 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB23) | (~v114(constB23)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB23) | (~v114(constB23)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3796,plain,
% 33.18/21.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB23) | (~v114(constB23)))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3797,plain,
% 33.18/21.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB23) | (~v114(constB23))),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3796, 3795])).
% 33.18/21.78 tff(3798,plain,
% 33.18/21.78 (v113(constB23)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3797, 542, 3794])).
% 33.18/21.78 tff(3799,assumption,(v26(constB23)), introduced(assumption)).
% 33.18/21.78 tff(3800,plain,
% 33.18/21.78 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB23))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3801,plain,
% 33.18/21.78 ($false),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3800, 120, 3799])).
% 33.18/21.78 tff(3802,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 33.18/21.78 tff(3803,plain,
% 33.18/21.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | v112(constB23) | (~v113(constB23)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3804,plain,
% 33.18/21.78 ((v26(constB23) | (~v113(constB23)) | v112(constB23)) <=> (v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3805,plain,
% 33.18/21.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | v112(constB23) | (~v113(constB23))))),
% 33.18/21.78 inference(monotonicity,[status(thm)],[3804])).
% 33.18/21.78 tff(3806,plain,
% 33.18/21.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 33.18/21.78 inference(transitivity,[status(thm)],[3805, 3803])).
% 33.18/21.78 tff(3807,plain,
% 33.18/21.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3808,plain,
% 33.18/21.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23))),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3807, 3806])).
% 33.18/21.78 tff(3809,plain,
% 33.18/21.78 (v112(constB23) | (~v113(constB23))),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3808, 556, 3802])).
% 33.18/21.78 tff(3810,plain,
% 33.18/21.78 (v112(constB23)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3809, 3798])).
% 33.18/21.78 tff(3811,plain,
% 33.18/21.78 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB23) | (~v112(constB23)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB23) | (~v112(constB23)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3812,plain,
% 33.18/21.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB23) | (~v112(constB23)))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3813,plain,
% 33.18/21.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB23) | (~v112(constB23))),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 33.18/21.78 tff(3814,plain,
% 33.18/21.78 (v108(constB23)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3813, 568, 3810])).
% 33.18/21.78 tff(3815,plain,
% 33.18/21.78 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3816,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 33.18/21.78 tff(3817,plain,
% 33.18/21.78 (nextState(constB23, constB24)),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3816, 3815])).
% 33.18/21.78 tff(3818,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3819,plain,
% 33.18/21.78 (((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24)) <=> ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3820,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))))),
% 33.18/21.78 inference(monotonicity,[status(thm)],[3819])).
% 33.18/21.78 tff(3821,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 33.18/21.78 inference(transitivity,[status(thm)],[3820, 3818])).
% 33.18/21.78 tff(3822,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3823,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3822, 3821])).
% 33.18/21.78 tff(3824,plain,
% 33.18/21.78 (v110(constB24) | (~v108(constB23))),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3823, 585, 3817])).
% 33.18/21.78 tff(3825,plain,
% 33.18/21.78 (v110(constB24)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3824, 3814])).
% 33.18/21.78 tff(3826,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3827,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3828,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24))),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3827, 3826])).
% 33.18/21.78 tff(3829,plain,
% 33.18/21.78 (~v104(constB24)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3828, 603, 3817, 3679])).
% 33.18/21.78 tff(3830,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3831,plain,
% 33.18/21.78 (((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24)) <=> ((~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3832,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | v102(constB24)))),
% 33.18/21.78 inference(monotonicity,[status(thm)],[3831])).
% 33.18/21.78 tff(3833,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))),
% 33.18/21.78 inference(transitivity,[status(thm)],[3832, 3830])).
% 33.18/21.78 tff(3834,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3835,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | v102(constB24)),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3834, 3833])).
% 33.18/21.78 tff(3836,plain,
% 33.18/21.78 (v104(constB24) | v102(constB24)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3835, 617, 3817])).
% 33.18/21.78 tff(3837,plain,
% 33.18/21.78 (v102(constB24)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3836, 3829])).
% 33.18/21.78 tff(3838,plain,
% 33.18/21.78 (v1(constB24) <=> v1(constB24)),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3839,axiom,(v1(constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 33.18/21.78 tff(3840,plain,
% 33.18/21.78 (v1(constB24)),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 33.18/21.78 tff(3841,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3842,plain,
% 33.18/21.78 (((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24))) <=> ((~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3843,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24))))),
% 33.18/21.78 inference(monotonicity,[status(thm)],[3842])).
% 33.18/21.78 tff(3844,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))),
% 33.18/21.78 inference(transitivity,[status(thm)],[3843, 3841])).
% 33.18/21.78 tff(3845,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3846,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24))),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3845, 3844])).
% 33.18/21.78 tff(3847,plain,
% 33.18/21.78 (v101(constB24) | (~v102(constB24))),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3846, 638, 3817, 3840])).
% 33.18/21.78 tff(3848,plain,
% 33.18/21.78 (v101(constB24)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3847, 3837])).
% 33.18/21.78 tff(3849,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3850,plain,
% 33.18/21.78 (((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24)) <=> ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3851,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))))),
% 33.18/21.78 inference(monotonicity,[status(thm)],[3850])).
% 33.18/21.78 tff(3852,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 33.18/21.78 inference(transitivity,[status(thm)],[3851, 3849])).
% 33.18/21.78 tff(3853,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3854,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3853, 3852])).
% 33.18/21.78 tff(3855,plain,
% 33.18/21.78 (v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3854, 656, 3817])).
% 33.18/21.78 tff(3856,plain,
% 33.18/21.78 (v100(constB24) | (~v110(constB24))),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3855, 3848])).
% 33.18/21.78 tff(3857,plain,
% 33.18/21.78 (v100(constB24)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3856, 3825])).
% 33.18/21.78 tff(3858,plain,
% 33.18/21.78 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB23)) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB23)) | v130(constB23, bitIndex1))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3859,plain,
% 33.18/21.78 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB23)) | v130(constB23, bitIndex1))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3860,plain,
% 33.18/21.78 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB23)) | v130(constB23, bitIndex1)),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3859, 3858])).
% 33.18/21.78 tff(3861,plain,
% 33.18/21.78 (v130(constB23, bitIndex1)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3860, 2145, 3790])).
% 33.18/21.78 tff(3862,plain,
% 33.18/21.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3863,plain,
% 33.18/21.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3864,plain,
% 33.18/21.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 33.18/21.78 inference(modus_ponens,[status(thm)],[3863, 3862])).
% 33.18/21.78 tff(3865,plain,
% 33.18/21.78 ((~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3864, 1101, 3802])).
% 33.18/21.78 tff(3866,plain,
% 33.18/21.78 (v127(constB23, bitIndex1)),
% 33.18/21.78 inference(unit_resolution,[status(thm)],[3865, 3861])).
% 33.18/21.78 tff(3867,plain,
% 33.18/21.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 33.18/21.78 inference(rewrite,[status(thm)],[])).
% 33.18/21.78 tff(3868,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 33.18/21.78 inference(quant_inst,[status(thm)],[])).
% 33.18/21.78 tff(3869,plain,
% 33.18/21.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3868, 3867])).
% 33.18/21.79 tff(3870,plain,
% 33.18/21.79 ((~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3869, 1116, 3817])).
% 33.18/21.79 tff(3871,plain,
% 33.18/21.79 (v129(constB24, bitIndex1)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3870, 3866])).
% 33.18/21.79 tff(3872,plain,
% 33.18/21.79 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3873,plain,
% 33.18/21.79 ((v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1))) <=> (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3874,plain,
% 33.18/21.79 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))))),
% 33.18/21.79 inference(monotonicity,[status(thm)],[3873])).
% 33.18/21.79 tff(3875,plain,
% 33.18/21.79 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 33.18/21.79 inference(transitivity,[status(thm)],[3874, 3872])).
% 33.18/21.79 tff(3876,plain,
% 33.18/21.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3877,plain,
% 33.18/21.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3876, 3875])).
% 33.18/21.79 tff(3878,plain,
% 33.18/21.79 (v90(constB24, bitIndex1) | (~v100(constB24))),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3877, 1131, 3871])).
% 33.18/21.79 tff(3879,plain,
% 33.18/21.79 (v90(constB24, bitIndex1)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3878, 3857])).
% 33.18/21.79 tff(3880,plain,
% 33.18/21.79 ((~v1(constB25)) <=> (~v1(constB25))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3881,axiom,(~v1(constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 33.18/21.79 tff(3882,plain,
% 33.18/21.79 (~v1(constB25)),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3881, 3880])).
% 33.18/21.79 tff(3883,plain,
% 33.18/21.79 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3884,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 33.18/21.79 tff(3885,plain,
% 33.18/21.79 (nextState(constB24, constB25)),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3884, 3883])).
% 33.18/21.79 tff(3886,plain,
% 33.18/21.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3887,plain,
% 33.18/21.79 (((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3888,plain,
% 33.18/21.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))))),
% 33.18/21.79 inference(monotonicity,[status(thm)],[3887])).
% 33.18/21.79 tff(3889,plain,
% 33.18/21.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 33.18/21.79 inference(transitivity,[status(thm)],[3888, 3886])).
% 33.18/21.79 tff(3890,plain,
% 33.18/21.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3891,plain,
% 33.18/21.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3890, 3889])).
% 33.18/21.79 tff(3892,plain,
% 33.18/21.79 (~v101(constB25)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3891, 381, 3885, 3882])).
% 33.18/21.79 tff(3893,plain,
% 33.18/21.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3894,plain,
% 33.18/21.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3895,plain,
% 33.18/21.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25))),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3894, 3893])).
% 33.18/21.79 tff(3896,plain,
% 33.18/21.79 (v101(constB25) | (~v100(constB25))),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3895, 398, 3885])).
% 33.18/21.79 tff(3897,plain,
% 33.18/21.79 (~v100(constB25)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3896, 3892])).
% 33.18/21.79 tff(3898,plain,
% 33.18/21.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3899,plain,
% 33.18/21.79 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)) <=> ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3900,plain,
% 33.18/21.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1)))),
% 33.18/21.79 inference(monotonicity,[status(thm)],[3899])).
% 33.18/21.79 tff(3901,plain,
% 33.18/21.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 33.18/21.79 inference(transitivity,[status(thm)],[3900, 3898])).
% 33.18/21.79 tff(3902,plain,
% 33.18/21.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3903,plain,
% 33.18/21.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1)),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3902, 3901])).
% 33.18/21.79 tff(3904,plain,
% 33.18/21.79 ((~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3903, 1149, 3885])).
% 33.18/21.79 tff(3905,plain,
% 33.18/21.79 ((~v90(constB24, bitIndex1)) | v90(constB25, bitIndex1)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3904, 3897])).
% 33.18/21.79 tff(3906,plain,
% 33.18/21.79 (v90(constB25, bitIndex1)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3905, 3879])).
% 33.18/21.79 tff(3907,plain,
% 33.18/21.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v120(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v120(constB25)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3908,plain,
% 33.18/21.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v120(constB25)))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3909,plain,
% 33.18/21.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v120(constB25))),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3908, 3907])).
% 33.18/21.79 tff(3910,plain,
% 33.18/21.79 (~v120(constB25)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3909, 2183, 3906])).
% 33.18/21.79 tff(3911,plain,
% 33.18/21.79 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB23)) | v130(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB23)) | v130(constB23, bitIndex2))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3912,plain,
% 33.18/21.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB23)) | v130(constB23, bitIndex2))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3913,plain,
% 33.18/21.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB23)) | v130(constB23, bitIndex2)),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3912, 3911])).
% 33.18/21.79 tff(3914,plain,
% 33.18/21.79 (v130(constB23, bitIndex2)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3913, 2075, 3790])).
% 33.18/21.79 tff(3915,plain,
% 33.18/21.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3916,plain,
% 33.18/21.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3917,plain,
% 33.18/21.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3916, 3915])).
% 33.18/21.79 tff(3918,plain,
% 33.18/21.79 ((~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3917, 1592, 3802])).
% 33.18/21.79 tff(3919,plain,
% 33.18/21.79 (v127(constB23, bitIndex2)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3918, 3914])).
% 33.18/21.79 tff(3920,plain,
% 33.18/21.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3921,plain,
% 33.18/21.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3922,plain,
% 33.18/21.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3921, 3920])).
% 33.18/21.79 tff(3923,plain,
% 33.18/21.79 ((~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3922, 1607, 3817])).
% 33.18/21.79 tff(3924,plain,
% 33.18/21.79 (v129(constB24, bitIndex2)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3923, 3919])).
% 33.18/21.79 tff(3925,plain,
% 33.18/21.79 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3926,plain,
% 33.18/21.79 ((v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2))) <=> (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3927,plain,
% 33.18/21.79 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))))),
% 33.18/21.79 inference(monotonicity,[status(thm)],[3926])).
% 33.18/21.79 tff(3928,plain,
% 33.18/21.79 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 33.18/21.79 inference(transitivity,[status(thm)],[3927, 3925])).
% 33.18/21.79 tff(3929,plain,
% 33.18/21.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3930,plain,
% 33.18/21.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3929, 3928])).
% 33.18/21.79 tff(3931,plain,
% 33.18/21.79 (v90(constB24, bitIndex2) | (~v100(constB24))),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3930, 1622, 3924])).
% 33.18/21.79 tff(3932,plain,
% 33.18/21.79 (v90(constB24, bitIndex2)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3931, 3857])).
% 33.18/21.79 tff(3933,plain,
% 33.18/21.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3934,plain,
% 33.18/21.79 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)) <=> ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3935,plain,
% 33.18/21.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2)))),
% 33.18/21.79 inference(monotonicity,[status(thm)],[3934])).
% 33.18/21.79 tff(3936,plain,
% 33.18/21.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 33.18/21.79 inference(transitivity,[status(thm)],[3935, 3933])).
% 33.18/21.79 tff(3937,plain,
% 33.18/21.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3938,plain,
% 33.18/21.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2)),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3937, 3936])).
% 33.18/21.79 tff(3939,plain,
% 33.18/21.79 ((~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3938, 1658, 3885])).
% 33.18/21.79 tff(3940,plain,
% 33.18/21.79 ((~v90(constB24, bitIndex2)) | v90(constB25, bitIndex2)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3939, 3897])).
% 33.18/21.79 tff(3941,plain,
% 33.18/21.79 (v90(constB25, bitIndex2)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3940, 3932])).
% 33.18/21.79 tff(3942,plain,
% 33.18/21.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v121(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v121(constB25)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3943,plain,
% 33.18/21.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v121(constB25)))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3944,plain,
% 33.18/21.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v121(constB25))),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3943, 3942])).
% 33.18/21.79 tff(3945,plain,
% 33.18/21.79 (~v121(constB25)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3944, 2216, 3941])).
% 33.18/21.79 tff(3946,plain,
% 33.18/21.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v124(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v124(constB25)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3947,plain,
% 33.18/21.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v124(constB25)))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3948,plain,
% 33.18/21.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v124(constB25))),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3947, 3946])).
% 33.18/21.79 tff(3949,plain,
% 33.18/21.79 (~v124(constB25)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3948, 2205, 3906])).
% 33.18/21.79 tff(3950,plain,
% 33.18/21.79 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB23)) | (~v130(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB23)) | (~v130(constB23, bitIndex0)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3951,plain,
% 33.18/21.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB23)) | (~v130(constB23, bitIndex0)))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3952,plain,
% 33.18/21.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB23)) | (~v130(constB23, bitIndex0))),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3951, 3950])).
% 33.18/21.79 tff(3953,plain,
% 33.18/21.79 (~v130(constB23, bitIndex0)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3952, 2277, 3790])).
% 33.18/21.79 tff(3954,plain,
% 33.18/21.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3955,plain,
% 33.18/21.79 ((v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0))) <=> ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3956,plain,
% 33.18/21.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)))),
% 33.18/21.79 inference(monotonicity,[status(thm)],[3955])).
% 33.18/21.79 tff(3957,plain,
% 33.18/21.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 33.18/21.79 inference(transitivity,[status(thm)],[3956, 3954])).
% 33.18/21.79 tff(3958,plain,
% 33.18/21.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3959,plain,
% 33.18/21.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3958, 3957])).
% 33.18/21.79 tff(3960,plain,
% 33.18/21.79 ((~v127(constB23, bitIndex0)) | v130(constB23, bitIndex0)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3959, 1182, 3802])).
% 33.18/21.79 tff(3961,plain,
% 33.18/21.79 (~v127(constB23, bitIndex0)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3960, 3953])).
% 33.18/21.79 tff(3962,plain,
% 33.18/21.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3963,plain,
% 33.18/21.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3964,plain,
% 33.18/21.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3963, 3962])).
% 33.18/21.79 tff(3965,plain,
% 33.18/21.79 (v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3964, 1200, 3817])).
% 33.18/21.79 tff(3966,plain,
% 33.18/21.79 (~v129(constB24, bitIndex0)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3965, 3961])).
% 33.18/21.79 tff(3967,plain,
% 33.18/21.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3968,plain,
% 33.18/21.79 (((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0)) <=> ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3969,plain,
% 33.18/21.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))))),
% 33.18/21.79 inference(monotonicity,[status(thm)],[3968])).
% 33.18/21.79 tff(3970,plain,
% 33.18/21.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 33.18/21.79 inference(transitivity,[status(thm)],[3969, 3967])).
% 33.18/21.79 tff(3971,plain,
% 33.18/21.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))),
% 33.18/21.79 inference(quant_inst,[status(thm)],[])).
% 33.18/21.79 tff(3972,plain,
% 33.18/21.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))),
% 33.18/21.79 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 33.18/21.79 tff(3973,plain,
% 33.18/21.79 ((~v90(constB24, bitIndex0)) | (~v100(constB24))),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3972, 1215, 3966])).
% 33.18/21.79 tff(3974,plain,
% 33.18/21.79 (~v90(constB24, bitIndex0)),
% 33.18/21.79 inference(unit_resolution,[status(thm)],[3973, 3857])).
% 33.18/21.79 tff(3975,plain,
% 33.18/21.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3976,plain,
% 33.18/21.79 (((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))) <=> (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 33.18/21.79 inference(rewrite,[status(thm)],[])).
% 33.18/21.79 tff(3977,plain,
% 33.18/21.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0))))),
% 33.18/21.80 inference(monotonicity,[status(thm)],[3976])).
% 33.18/21.80 tff(3978,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 33.18/21.80 inference(transitivity,[status(thm)],[3977, 3975])).
% 33.18/21.80 tff(3979,plain,
% 33.18/21.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(3980,plain,
% 33.18/21.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[3979, 3978])).
% 33.18/21.80 tff(3981,plain,
% 33.18/21.80 (v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[3980, 455, 3885])).
% 33.18/21.80 tff(3982,plain,
% 33.18/21.80 (v90(constB24, bitIndex0) | (~v90(constB25, bitIndex0))),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[3981, 3897])).
% 33.18/21.80 tff(3983,plain,
% 33.18/21.80 (~v90(constB25, bitIndex0)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[3982, 3974])).
% 33.18/21.80 tff(3984,plain,
% 33.18/21.80 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v123(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v123(constB25)))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(3985,plain,
% 33.18/21.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v123(constB25)))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(3986,plain,
% 33.18/21.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v123(constB25))),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[3985, 3984])).
% 33.18/21.80 tff(3987,plain,
% 33.18/21.80 (~v123(constB25)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[3986, 2194, 3906])).
% 33.18/21.80 tff(3988,assumption,(~v90(constB25, bitIndex0)), introduced(assumption)).
% 33.18/21.80 tff(3989,assumption,(~v121(constB25)), introduced(assumption)).
% 33.18/21.80 tff(3990,assumption,(~v123(constB25)), introduced(assumption)).
% 33.18/21.80 tff(3991,assumption,(~v120(constB25)), introduced(assumption)).
% 33.18/21.80 tff(3992,assumption,(~v124(constB25)), introduced(assumption)).
% 33.18/21.80 tff(3993,assumption,(~v90(constB24, bitIndex1)), introduced(assumption)).
% 33.18/21.80 tff(3994,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex1)))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(3995,plain,
% 33.18/21.80 (((~nextState(constB24, constB25)) | v90(constB24, bitIndex1) | v100(constB25) | (~v90(constB25, bitIndex1))) <=> (v90(constB24, bitIndex1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex1)))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(3996,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex1) | v100(constB25) | (~v90(constB25, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex1))))),
% 33.18/21.80 inference(monotonicity,[status(thm)],[3995])).
% 33.18/21.80 tff(3997,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex1) | v100(constB25) | (~v90(constB25, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex1)))),
% 33.18/21.80 inference(transitivity,[status(thm)],[3996, 3994])).
% 33.18/21.80 tff(3998,plain,
% 33.18/21.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex1) | v100(constB25) | (~v90(constB25, bitIndex1)))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(3999,plain,
% 33.18/21.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex1))),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[3998, 3997])).
% 33.18/21.80 tff(4000,plain,
% 33.18/21.80 (v90(constB24, bitIndex1) | v100(constB25) | (~v90(constB25, bitIndex1))),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[3999, 434, 3885])).
% 33.18/21.80 tff(4001,plain,
% 33.18/21.80 (v90(constB24, bitIndex1) | (~v90(constB25, bitIndex1))),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4000, 3897])).
% 33.18/21.80 tff(4002,plain,
% 33.18/21.80 (~v90(constB25, bitIndex1)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4001, 3993])).
% 33.18/21.80 tff(4003,assumption,(~v90(constB24, bitIndex0)), introduced(assumption)).
% 33.18/21.80 tff(4004,assumption,(~v100(constB24)), introduced(assumption)).
% 33.18/21.80 tff(4005,plain,
% 33.18/21.80 (~v110(constB24)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[3856, 4004])).
% 33.18/21.80 tff(4006,plain,
% 33.18/21.80 (~v108(constB23)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[3824, 4005])).
% 33.18/21.80 tff(4007,plain,
% 33.18/21.80 (~v112(constB23)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[3813, 568, 4006])).
% 33.18/21.80 tff(4008,plain,
% 33.18/21.80 (~v113(constB23)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[3809, 4007])).
% 33.18/21.80 tff(4009,plain,
% 33.18/21.80 (~v114(constB23)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[3797, 542, 4008])).
% 33.18/21.80 tff(4010,assumption,(~v90(constB24, bitIndex2)), introduced(assumption)).
% 33.18/21.80 tff(4011,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex2))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4012,plain,
% 33.18/21.80 (((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex2)) | v100(constB24) | v90(constB24, bitIndex2)) <=> ((~v90(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex2))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4013,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex2)) | v100(constB24) | v90(constB24, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex2)))),
% 33.18/21.80 inference(monotonicity,[status(thm)],[4012])).
% 33.18/21.80 tff(4014,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex2)) | v100(constB24) | v90(constB24, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex2))),
% 33.18/21.80 inference(transitivity,[status(thm)],[4013, 4011])).
% 33.18/21.80 tff(4015,plain,
% 33.18/21.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex2)) | v100(constB24) | v90(constB24, bitIndex2))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(4016,plain,
% 33.18/21.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB23, bitIndex2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex2)),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[4015, 4014])).
% 33.18/21.80 tff(4017,plain,
% 33.18/21.80 ((~v90(constB23, bitIndex2)) | v100(constB24) | v90(constB24, bitIndex2)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4016, 1658, 3817])).
% 33.18/21.80 tff(4018,plain,
% 33.18/21.80 (~v90(constB23, bitIndex2)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4017, 4004, 4010])).
% 33.18/21.80 tff(4019,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex1))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4020,plain,
% 33.18/21.80 (((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex1)) | v100(constB24) | v90(constB24, bitIndex1)) <=> ((~v90(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex1))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4021,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex1)) | v100(constB24) | v90(constB24, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex1)))),
% 33.18/21.80 inference(monotonicity,[status(thm)],[4020])).
% 33.18/21.80 tff(4022,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex1)) | v100(constB24) | v90(constB24, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex1))),
% 33.18/21.80 inference(transitivity,[status(thm)],[4021, 4019])).
% 33.18/21.80 tff(4023,plain,
% 33.18/21.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex1)) | v100(constB24) | v90(constB24, bitIndex1))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(4024,plain,
% 33.18/21.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB23, bitIndex1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex1)),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[4023, 4022])).
% 33.18/21.80 tff(4025,plain,
% 33.18/21.80 ((~v90(constB23, bitIndex1)) | v100(constB24) | v90(constB24, bitIndex1)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4024, 1149, 3817])).
% 33.18/21.80 tff(4026,plain,
% 33.18/21.80 (~v90(constB23, bitIndex1)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4025, 4004, 3993])).
% 33.18/21.80 tff(4027,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex0))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4028,plain,
% 33.18/21.80 (((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex0)) | v100(constB24) | v90(constB24, bitIndex0)) <=> ((~v90(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex0))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4029,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex0)) | v100(constB24) | v90(constB24, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex0)))),
% 33.18/21.80 inference(monotonicity,[status(thm)],[4028])).
% 33.18/21.80 tff(4030,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex0)) | v100(constB24) | v90(constB24, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex0))),
% 33.18/21.80 inference(transitivity,[status(thm)],[4029, 4027])).
% 33.18/21.80 tff(4031,plain,
% 33.18/21.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex0)) | v100(constB24) | v90(constB24, bitIndex0))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(4032,plain,
% 33.18/21.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex0)),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 33.18/21.80 tff(4033,plain,
% 33.18/21.80 ((~v90(constB23, bitIndex0)) | v100(constB24) | v90(constB24, bitIndex0)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4032, 903, 3817])).
% 33.18/21.80 tff(4034,plain,
% 33.18/21.80 (~v90(constB23, bitIndex0)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4033, 4004, 4003])).
% 33.18/21.80 tff(4035,plain,
% 33.18/21.80 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB23) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB23) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4036,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB23) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(4037,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB23) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2)),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[4036, 4035])).
% 33.18/21.80 tff(4038,plain,
% 33.18/21.80 (v119(constB23)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4037, 476, 4034, 4026, 4018])).
% 33.18/21.80 tff(4039,plain,
% 33.18/21.80 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB23) | (~v119(constB23)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB23) | (~v119(constB23)))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4040,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB23) | (~v119(constB23)))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(4041,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB23) | (~v119(constB23))),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[4040, 4039])).
% 33.18/21.80 tff(4042,plain,
% 33.18/21.80 (v118(constB23)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4041, 487, 4038])).
% 33.18/21.80 tff(4043,plain,
% 33.18/21.80 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB23) | (~v118(constB23)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB23) | (~v118(constB23)))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4044,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB23) | (~v118(constB23)))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(4045,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB23) | (~v118(constB23))),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[4044, 4043])).
% 33.18/21.80 tff(4046,plain,
% 33.18/21.80 (v117(constB23)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4045, 498, 4042])).
% 33.18/21.80 tff(4047,plain,
% 33.18/21.80 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB23) | (~v117(constB23)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB23) | (~v117(constB23)))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4048,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB23) | (~v117(constB23)))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(4049,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB23) | (~v117(constB23))),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[4048, 4047])).
% 33.18/21.80 tff(4050,plain,
% 33.18/21.80 (v116(constB23)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4049, 509, 4046])).
% 33.18/21.80 tff(4051,plain,
% 33.18/21.80 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB23) | (~v115(constB23)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB23) | (~v115(constB23)))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4052,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB23) | (~v115(constB23)))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(4053,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB23) | (~v115(constB23))),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[4052, 4051])).
% 33.18/21.80 tff(4054,plain,
% 33.18/21.80 (~v115(constB23)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4053, 531, 4009])).
% 33.18/21.80 tff(4055,plain,
% 33.18/21.80 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB23) | (~v116(constB23)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB23) | (~v116(constB23)))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4056,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB23) | (~v116(constB23)))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(4057,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB23) | (~v116(constB23))),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[4056, 4055])).
% 33.18/21.80 tff(4058,plain,
% 33.18/21.80 ($false),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4057, 520, 4054, 4050])).
% 33.18/21.80 tff(4059,plain,(v100(constB24) | v90(constB24, bitIndex1) | v90(constB24, bitIndex2) | v90(constB24, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 33.18/21.80 tff(4060,plain,
% 33.18/21.80 (v90(constB24, bitIndex2)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4059, 4004, 3993, 4003])).
% 33.18/21.80 tff(4061,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2)))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4062,plain,
% 33.18/21.80 (((~nextState(constB23, constB24)) | v90(constB23, bitIndex2) | v100(constB24) | (~v90(constB24, bitIndex2))) <=> (v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2)))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4063,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex2) | v100(constB24) | (~v90(constB24, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2))))),
% 33.18/21.80 inference(monotonicity,[status(thm)],[4062])).
% 33.18/21.80 tff(4064,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex2) | v100(constB24) | (~v90(constB24, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2)))),
% 33.18/21.80 inference(transitivity,[status(thm)],[4063, 4061])).
% 33.18/21.80 tff(4065,plain,
% 33.18/21.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex2) | v100(constB24) | (~v90(constB24, bitIndex2)))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(4066,plain,
% 33.18/21.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB23, bitIndex2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex2))),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[4065, 4064])).
% 33.18/21.80 tff(4067,plain,
% 33.18/21.80 (v90(constB23, bitIndex2) | v100(constB24) | (~v90(constB24, bitIndex2))),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4066, 413, 3817])).
% 33.18/21.80 tff(4068,plain,
% 33.18/21.80 (v90(constB23, bitIndex2)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4067, 4004, 4060])).
% 33.18/21.80 tff(4069,plain,
% 33.18/21.80 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4070,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(4071,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23)),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[4070, 4069])).
% 33.18/21.80 tff(4072,plain,
% 33.18/21.80 (v123(constB23)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4071, 1765, 4034, 4026, 4068])).
% 33.18/21.80 tff(4073,plain,
% 33.18/21.80 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB23) | (~v123(constB23)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB23) | (~v123(constB23)))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4074,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB23) | (~v123(constB23)))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(4075,plain,
% 33.18/21.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB23) | (~v123(constB23))),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[4074, 4073])).
% 33.18/21.80 tff(4076,plain,
% 33.18/21.80 (v115(constB23)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4075, 1776, 4072])).
% 33.18/21.80 tff(4077,plain,
% 33.18/21.80 ($false),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4053, 531, 4076, 4009])).
% 33.18/21.80 tff(4078,plain,(v100(constB24) | v90(constB24, bitIndex1) | v90(constB24, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 33.18/21.80 tff(4079,plain,
% 33.18/21.80 (v100(constB24)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4078, 4003, 3993])).
% 33.18/21.80 tff(4080,plain,
% 33.18/21.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~v129(constB24, bitIndex0)) | (~v100(constB24)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~v129(constB24, bitIndex0)) | (~v100(constB24)))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4081,plain,
% 33.18/21.80 ((v90(constB24, bitIndex0) | (~v100(constB24)) | (~v129(constB24, bitIndex0))) <=> (v90(constB24, bitIndex0) | (~v129(constB24, bitIndex0)) | (~v100(constB24)))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4082,plain,
% 33.18/21.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~v100(constB24)) | (~v129(constB24, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~v129(constB24, bitIndex0)) | (~v100(constB24))))),
% 33.18/21.80 inference(monotonicity,[status(thm)],[4081])).
% 33.18/21.80 tff(4083,plain,
% 33.18/21.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~v100(constB24)) | (~v129(constB24, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~v129(constB24, bitIndex0)) | (~v100(constB24)))),
% 33.18/21.80 inference(transitivity,[status(thm)],[4082, 4080])).
% 33.18/21.80 tff(4084,plain,
% 33.18/21.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~v100(constB24)) | (~v129(constB24, bitIndex0)))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(4085,plain,
% 33.18/21.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~v129(constB24, bitIndex0)) | (~v100(constB24))),
% 33.18/21.80 inference(modus_ponens,[status(thm)],[4084, 4083])).
% 33.18/21.80 tff(4086,plain,
% 33.18/21.80 (~v129(constB24, bitIndex0)),
% 33.18/21.80 inference(unit_resolution,[status(thm)],[4085, 885, 4079, 4003])).
% 33.18/21.80 tff(4087,plain,
% 33.18/21.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex0)) | v129(constB24, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex0)) | v129(constB24, bitIndex0))),
% 33.18/21.80 inference(rewrite,[status(thm)],[])).
% 33.18/21.80 tff(4088,plain,
% 33.18/21.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex0)) | v129(constB24, bitIndex0))),
% 33.18/21.80 inference(quant_inst,[status(thm)],[])).
% 33.18/21.80 tff(4089,plain,
% 33.18/21.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex0)) | v129(constB24, bitIndex0)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4088, 4087])).
% 33.18/21.81 tff(4090,plain,
% 33.18/21.81 ((~v127(constB23, bitIndex0)) | v129(constB24, bitIndex0)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4089, 870, 3817])).
% 33.18/21.81 tff(4091,plain,
% 33.18/21.81 (~v127(constB23, bitIndex0)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4090, 4086])).
% 33.18/21.81 tff(4092,plain,
% 33.18/21.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB23) | (~v130(constB23, bitIndex0)) | v127(constB23, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB23) | (~v130(constB23, bitIndex0)) | v127(constB23, bitIndex0))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4093,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB23) | (~v130(constB23, bitIndex0)) | v127(constB23, bitIndex0))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4094,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB23) | (~v130(constB23, bitIndex0)) | v127(constB23, bitIndex0)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4093, 4092])).
% 33.18/21.81 tff(4095,plain,
% 33.18/21.81 ((~v130(constB23, bitIndex0)) | v127(constB23, bitIndex0)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4094, 855, 3802])).
% 33.18/21.81 tff(4096,plain,
% 33.18/21.81 (~v130(constB23, bitIndex0)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4095, 4091])).
% 33.18/21.81 tff(4097,plain,
% 33.18/21.81 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB23)) | v130(constB23, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB23)) | v130(constB23, bitIndex0))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4098,plain,
% 33.18/21.81 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB23)) | v130(constB23, bitIndex0))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4099,plain,
% 33.18/21.81 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB23)) | v130(constB23, bitIndex0)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4098, 4097])).
% 33.18/21.81 tff(4100,plain,
% 33.18/21.81 (~v123(constB23)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4099, 1953, 4096])).
% 33.18/21.81 tff(4101,plain,
% 33.18/21.81 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB23)) | v130(constB23, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB23)) | v130(constB23, bitIndex0))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4102,plain,
% 33.18/21.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB23)) | v130(constB23, bitIndex0))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4103,plain,
% 33.18/21.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB23)) | v130(constB23, bitIndex0)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4102, 4101])).
% 33.18/21.81 tff(4104,plain,
% 33.18/21.81 (~v119(constB23)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4103, 841, 4096])).
% 33.18/21.81 tff(4105,plain,
% 33.18/21.81 (~v90(constB25, bitIndex0)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[3982, 4003])).
% 33.18/21.81 tff(4106,plain,
% 33.18/21.81 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | v123(constB25))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | v123(constB25))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4107,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | v123(constB25))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4108,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | v123(constB25)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4107, 4106])).
% 33.18/21.81 tff(4109,plain,
% 33.18/21.81 (v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2))),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4108, 1765, 3990])).
% 33.18/21.81 tff(4110,plain,
% 33.18/21.81 (~v90(constB25, bitIndex2)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4109, 4105, 4002])).
% 33.18/21.81 tff(4111,plain,
% 33.18/21.81 (~v90(constB24, bitIndex2)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[3940, 4110])).
% 33.18/21.81 tff(4112,plain,
% 33.18/21.81 (~v129(constB24, bitIndex2)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[3930, 1622, 4079, 4111])).
% 33.18/21.81 tff(4113,plain,
% 33.18/21.81 (~v127(constB23, bitIndex2)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[3923, 4112])).
% 33.18/21.81 tff(4114,plain,
% 33.18/21.81 (~v130(constB23, bitIndex2)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[3918, 4113])).
% 33.18/21.81 tff(4115,plain,
% 33.18/21.81 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB23)) | v130(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB23)) | v130(constB23, bitIndex2))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4116,plain,
% 33.18/21.81 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB23)) | v130(constB23, bitIndex2))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4117,plain,
% 33.18/21.81 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB23)) | v130(constB23, bitIndex2)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4116, 4115])).
% 33.18/21.81 tff(4118,plain,
% 33.18/21.81 (~v122(constB23)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4117, 1578, 4114])).
% 33.18/21.81 tff(4119,plain,
% 33.18/21.81 ((~v129(constB24, bitIndex1)) | (~v100(constB24))),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[3877, 1131, 3993])).
% 33.18/21.81 tff(4120,plain,
% 33.18/21.81 (~v129(constB24, bitIndex1)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4119, 4079])).
% 33.18/21.81 tff(4121,plain,
% 33.18/21.81 (~v127(constB23, bitIndex1)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[3870, 4120])).
% 33.18/21.81 tff(4122,plain,
% 33.18/21.81 (~v130(constB23, bitIndex1)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[3865, 4121])).
% 33.18/21.81 tff(4123,plain,
% 33.18/21.81 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB23)) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB23)) | v130(constB23, bitIndex1))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4124,plain,
% 33.18/21.81 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB23)) | v130(constB23, bitIndex1))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4125,plain,
% 33.18/21.81 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB23)) | v130(constB23, bitIndex1)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4124, 4123])).
% 33.18/21.81 tff(4126,plain,
% 33.18/21.81 (~v121(constB23)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4125, 1404, 4122])).
% 33.18/21.81 tff(4127,plain,
% 33.18/21.81 (~v124(constB23)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[3860, 2145, 4122])).
% 33.18/21.81 tff(4128,plain,
% 33.18/21.81 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB23)) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB23)) | v130(constB23, bitIndex1))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4129,plain,
% 33.18/21.81 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB23)) | v130(constB23, bitIndex1))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4130,plain,
% 33.18/21.81 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB23)) | v130(constB23, bitIndex1)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4129, 4128])).
% 33.18/21.81 tff(4131,plain,
% 33.18/21.81 (~v120(constB23)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4130, 1087, 4122])).
% 33.18/21.81 tff(4132,plain,
% 33.18/21.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB23, bitIndex0) | v119(constB23) | v120(constB23) | v124(constB23) | v121(constB23) | v122(constB23) | v123(constB23))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB23, bitIndex0) | v119(constB23) | v120(constB23) | v124(constB23) | v121(constB23) | v122(constB23) | v123(constB23))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4133,plain,
% 33.18/21.81 ((v120(constB23) | v119(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | v130(constB23, bitIndex0)) <=> (v130(constB23, bitIndex0) | v119(constB23) | v120(constB23) | v124(constB23) | v121(constB23) | v122(constB23) | v123(constB23))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4134,plain,
% 33.18/21.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB23) | v119(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | v130(constB23, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB23, bitIndex0) | v119(constB23) | v120(constB23) | v124(constB23) | v121(constB23) | v122(constB23) | v123(constB23)))),
% 33.18/21.81 inference(monotonicity,[status(thm)],[4133])).
% 33.18/21.81 tff(4135,plain,
% 33.18/21.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB23) | v119(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | v130(constB23, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB23, bitIndex0) | v119(constB23) | v120(constB23) | v124(constB23) | v121(constB23) | v122(constB23) | v123(constB23))),
% 33.18/21.81 inference(transitivity,[status(thm)],[4134, 4132])).
% 33.18/21.81 tff(4136,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB23) | v119(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | v130(constB23, bitIndex0))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4137,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB23, bitIndex0) | v119(constB23) | v120(constB23) | v124(constB23) | v121(constB23) | v122(constB23) | v123(constB23)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4136, 4135])).
% 33.18/21.81 tff(4138,plain,
% 33.18/21.81 (v119(constB23) | v122(constB23) | v123(constB23)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4137, 2495, 4096, 4131, 4127, 4126])).
% 33.18/21.81 tff(4139,plain,
% 33.18/21.81 ($false),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4138, 4118, 4104, 4100])).
% 33.18/21.81 tff(4140,plain,(v90(constB24, bitIndex0) | v90(constB24, bitIndex1) | v123(constB25)), inference(lemma,lemma(discharge,[]))).
% 33.18/21.81 tff(4141,plain,
% 33.18/21.81 (v90(constB24, bitIndex0)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4140, 3993, 3990])).
% 33.18/21.81 tff(4142,plain,
% 33.18/21.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex0))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4143,plain,
% 33.18/21.81 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex0)) | v100(constB25) | v90(constB25, bitIndex0)) <=> ((~v90(constB24, bitIndex0)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex0))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4144,plain,
% 33.18/21.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex0)) | v100(constB25) | v90(constB25, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex0)))),
% 33.18/21.81 inference(monotonicity,[status(thm)],[4143])).
% 33.18/21.81 tff(4145,plain,
% 33.18/21.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex0)) | v100(constB25) | v90(constB25, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex0))),
% 33.18/21.81 inference(transitivity,[status(thm)],[4144, 4142])).
% 33.18/21.81 tff(4146,plain,
% 33.18/21.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex0)) | v100(constB25) | v90(constB25, bitIndex0))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4147,plain,
% 33.18/21.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex0)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4146, 4145])).
% 33.18/21.81 tff(4148,plain,
% 33.18/21.81 ((~v90(constB24, bitIndex0)) | v100(constB25) | v90(constB25, bitIndex0)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4147, 903, 3885])).
% 33.18/21.81 tff(4149,plain,
% 33.18/21.81 ((~v90(constB24, bitIndex0)) | v90(constB25, bitIndex0)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4148, 3897])).
% 33.18/21.81 tff(4150,plain,
% 33.18/21.81 (v90(constB25, bitIndex0)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4149, 4141])).
% 33.18/21.81 tff(4151,plain,
% 33.18/21.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex0)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | v120(constB25))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex0)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | v120(constB25))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4152,plain,
% 33.18/21.81 (((~v90(constB25, bitIndex0)) | v120(constB25) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)) <=> ((~v90(constB25, bitIndex0)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | v120(constB25))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4153,plain,
% 33.18/21.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex0)) | v120(constB25) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex0)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | v120(constB25)))),
% 33.18/21.81 inference(monotonicity,[status(thm)],[4152])).
% 33.18/21.81 tff(4154,plain,
% 33.18/21.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex0)) | v120(constB25) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex0)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | v120(constB25))),
% 33.18/21.81 inference(transitivity,[status(thm)],[4153, 4151])).
% 33.18/21.81 tff(4155,plain,
% 33.18/21.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex0)) | v120(constB25) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4156,plain,
% 33.18/21.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex0)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | v120(constB25)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4155, 4154])).
% 33.18/21.81 tff(4157,plain,
% 33.18/21.81 ((~v90(constB25, bitIndex0)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4156, 922, 3991])).
% 33.18/21.81 tff(4158,plain,
% 33.18/21.81 (v90(constB25, bitIndex2)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4157, 4150, 4002])).
% 33.18/21.81 tff(4159,plain,
% 33.18/21.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB25, bitIndex0)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | v124(constB25))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB25, bitIndex0)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | v124(constB25))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4160,plain,
% 33.18/21.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB25, bitIndex0)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | v124(constB25))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4161,plain,
% 33.18/21.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB25, bitIndex0)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | v124(constB25)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4160, 4159])).
% 33.18/21.81 tff(4162,plain,
% 33.18/21.81 ((~v90(constB25, bitIndex0)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2))),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4161, 1994, 3992])).
% 33.18/21.81 tff(4163,plain,
% 33.18/21.81 ($false),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4162, 4158, 4150, 4002])).
% 33.18/21.81 tff(4164,plain,(v90(constB24, bitIndex1) | v124(constB25) | v120(constB25) | v123(constB25)), inference(lemma,lemma(discharge,[]))).
% 33.18/21.81 tff(4165,plain,
% 33.18/21.81 (v90(constB24, bitIndex1)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4164, 3992, 3991, 3990])).
% 33.18/21.81 tff(4166,plain,
% 33.18/21.81 (v90(constB25, bitIndex1)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[3905, 4165])).
% 33.18/21.81 tff(4167,plain,
% 33.18/21.81 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex2) | v121(constB25))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex2) | v121(constB25))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4168,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex2) | v121(constB25))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4169,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex2) | v121(constB25)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4168, 4167])).
% 33.18/21.81 tff(4170,plain,
% 33.18/21.81 (v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | v121(constB25)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4169, 1242, 4166])).
% 33.18/21.81 tff(4171,plain,
% 33.18/21.81 (v90(constB25, bitIndex2)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4170, 3988, 3989])).
% 33.18/21.81 tff(4172,plain,
% 33.18/21.81 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4173,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4174,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4173, 4172])).
% 33.18/21.81 tff(4175,plain,
% 33.18/21.81 (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2)) | v125(constB25)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4174, 2321, 4166])).
% 33.18/21.81 tff(4176,plain,
% 33.18/21.81 (v125(constB25)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4175, 4171, 3988])).
% 33.18/21.81 tff(4177,plain,
% 33.18/21.81 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB25) | (~v125(constB25)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB25) | (~v125(constB25)))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4178,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB25) | (~v125(constB25)))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4179,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB25) | (~v125(constB25))),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4178, 4177])).
% 33.18/21.81 tff(4180,plain,
% 33.18/21.81 (v113(constB25)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4179, 2332, 4176])).
% 33.18/21.81 tff(4181,assumption,(v26(constB25)), introduced(assumption)).
% 33.18/21.81 tff(4182,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB25))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4183,plain,
% 33.18/21.81 ($false),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4182, 120, 4181])).
% 33.18/21.81 tff(4184,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 33.18/21.81 tff(4185,plain,
% 33.18/21.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4186,plain,
% 33.18/21.81 ((v26(constB25) | (~v113(constB25)) | v112(constB25)) <=> (v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4187,plain,
% 33.18/21.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25))))),
% 33.18/21.81 inference(monotonicity,[status(thm)],[4186])).
% 33.18/21.81 tff(4188,plain,
% 33.18/21.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 33.18/21.81 inference(transitivity,[status(thm)],[4187, 4185])).
% 33.18/21.81 tff(4189,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4190,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25))),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4189, 4188])).
% 33.18/21.81 tff(4191,plain,
% 33.18/21.81 (v112(constB25) | (~v113(constB25))),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4190, 556, 4184])).
% 33.18/21.81 tff(4192,plain,
% 33.18/21.81 (v112(constB25)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4191, 4180])).
% 33.18/21.81 tff(4193,plain,
% 33.18/21.81 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB25) | (~v112(constB25)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB25) | (~v112(constB25)))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4194,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB25) | (~v112(constB25)))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4195,plain,
% 33.18/21.81 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB25) | (~v112(constB25))),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4194, 4193])).
% 33.18/21.81 tff(4196,plain,
% 33.18/21.81 (v108(constB25)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4195, 568, 4192])).
% 33.18/21.81 tff(4197,plain,
% 33.18/21.81 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4198,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 33.18/21.81 tff(4199,plain,
% 33.18/21.81 (nextState(constB25, constB26)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4198, 4197])).
% 33.18/21.81 tff(4200,plain,
% 33.18/21.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4201,plain,
% 33.18/21.81 (((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26)) <=> ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4202,plain,
% 33.18/21.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))))),
% 33.18/21.81 inference(monotonicity,[status(thm)],[4201])).
% 33.18/21.81 tff(4203,plain,
% 33.18/21.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 33.18/21.81 inference(transitivity,[status(thm)],[4202, 4200])).
% 33.18/21.81 tff(4204,plain,
% 33.18/21.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4205,plain,
% 33.18/21.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4204, 4203])).
% 33.18/21.81 tff(4206,plain,
% 33.18/21.81 (v110(constB26) | (~v108(constB25))),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4205, 585, 4199])).
% 33.18/21.81 tff(4207,plain,
% 33.18/21.81 (v110(constB26)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4206, 4196])).
% 33.18/21.81 tff(4208,plain,
% 33.18/21.81 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4209,plain,
% 33.18/21.81 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4210,plain,
% 33.18/21.81 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26))),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4209, 4208])).
% 33.18/21.81 tff(4211,plain,
% 33.18/21.81 (~v104(constB26)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4210, 603, 4199, 3882])).
% 33.18/21.81 tff(4212,plain,
% 33.18/21.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4213,plain,
% 33.18/21.81 (((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26)) <=> ((~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4214,plain,
% 33.18/21.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v102(constB26)))),
% 33.18/21.81 inference(monotonicity,[status(thm)],[4213])).
% 33.18/21.81 tff(4215,plain,
% 33.18/21.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))),
% 33.18/21.81 inference(transitivity,[status(thm)],[4214, 4212])).
% 33.18/21.81 tff(4216,plain,
% 33.18/21.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4217,plain,
% 33.18/21.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | v102(constB26)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4216, 4215])).
% 33.18/21.81 tff(4218,plain,
% 33.18/21.81 (v104(constB26) | v102(constB26)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4217, 617, 4199])).
% 33.18/21.81 tff(4219,plain,
% 33.18/21.81 (v102(constB26)),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4218, 4211])).
% 33.18/21.81 tff(4220,plain,
% 33.18/21.81 (v1(constB26) <=> v1(constB26)),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4221,axiom,(v1(constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 33.18/21.81 tff(4222,plain,
% 33.18/21.81 (v1(constB26)),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4221, 4220])).
% 33.18/21.81 tff(4223,plain,
% 33.18/21.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4224,plain,
% 33.18/21.81 (((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26))) <=> ((~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))),
% 33.18/21.81 inference(rewrite,[status(thm)],[])).
% 33.18/21.81 tff(4225,plain,
% 33.18/21.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26))))),
% 33.18/21.81 inference(monotonicity,[status(thm)],[4224])).
% 33.18/21.81 tff(4226,plain,
% 33.18/21.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))),
% 33.18/21.81 inference(transitivity,[status(thm)],[4225, 4223])).
% 33.18/21.81 tff(4227,plain,
% 33.18/21.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 33.18/21.81 inference(quant_inst,[status(thm)],[])).
% 33.18/21.81 tff(4228,plain,
% 33.18/21.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26))),
% 33.18/21.81 inference(modus_ponens,[status(thm)],[4227, 4226])).
% 33.18/21.81 tff(4229,plain,
% 33.18/21.81 (v101(constB26) | (~v102(constB26))),
% 33.18/21.81 inference(unit_resolution,[status(thm)],[4228, 638, 4199, 4222])).
% 33.18/21.81 tff(4230,plain,
% 33.18/21.81 (v101(constB26)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4229, 4219])).
% 33.18/21.82 tff(4231,plain,
% 33.18/21.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4232,plain,
% 33.18/21.82 (((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26)) <=> ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4233,plain,
% 33.18/21.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))))),
% 33.18/21.82 inference(monotonicity,[status(thm)],[4232])).
% 33.18/21.82 tff(4234,plain,
% 33.18/21.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 33.18/21.82 inference(transitivity,[status(thm)],[4233, 4231])).
% 33.18/21.82 tff(4235,plain,
% 33.18/21.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))),
% 33.18/21.82 inference(quant_inst,[status(thm)],[])).
% 33.18/21.82 tff(4236,plain,
% 33.18/21.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4235, 4234])).
% 33.18/21.82 tff(4237,plain,
% 33.18/21.82 (v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4236, 656, 4199])).
% 33.18/21.82 tff(4238,plain,
% 33.18/21.82 (v100(constB26) | (~v110(constB26))),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4237, 4230])).
% 33.18/21.82 tff(4239,plain,
% 33.18/21.82 (v100(constB26)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4238, 4207])).
% 33.18/21.82 tff(4240,plain,
% 33.18/21.82 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4241,plain,
% 33.18/21.82 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 33.18/21.82 inference(quant_inst,[status(thm)],[])).
% 33.18/21.82 tff(4242,plain,
% 33.18/21.82 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1))),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4241, 4240])).
% 33.18/21.82 tff(4243,plain,
% 33.18/21.82 (~v119(constB25)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4242, 2230, 4166])).
% 33.18/21.82 tff(4244,plain,
% 33.18/21.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v122(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v122(constB25)))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4245,plain,
% 33.18/21.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v122(constB25)))),
% 33.18/21.82 inference(quant_inst,[status(thm)],[])).
% 33.18/21.82 tff(4246,plain,
% 33.18/21.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v122(constB25))),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4245, 4244])).
% 33.18/21.82 tff(4247,plain,
% 33.18/21.82 (~v122(constB25)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4246, 2131, 4171])).
% 33.18/21.82 tff(4248,plain,
% 33.18/21.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB25, bitIndex2)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB25, bitIndex2)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4249,plain,
% 33.18/21.82 ((v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2))) <=> ((~v130(constB25, bitIndex2)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4250,plain,
% 33.18/21.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB25, bitIndex2)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)))),
% 33.18/21.82 inference(monotonicity,[status(thm)],[4249])).
% 33.18/21.82 tff(4251,plain,
% 33.18/21.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB25, bitIndex2)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 33.18/21.82 inference(transitivity,[status(thm)],[4250, 4248])).
% 33.18/21.82 tff(4252,plain,
% 33.18/21.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))),
% 33.18/21.82 inference(quant_inst,[status(thm)],[])).
% 33.18/21.82 tff(4253,plain,
% 33.18/21.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB25, bitIndex2)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4252, 4251])).
% 33.18/21.82 tff(4254,plain,
% 33.18/21.82 ((~v130(constB25, bitIndex2)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v124(constB25)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4253, 2244, 3990])).
% 33.18/21.82 tff(4255,plain,
% 33.18/21.82 (~v130(constB25, bitIndex2)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4254, 4247, 3991, 3992, 3989, 4243])).
% 33.18/21.82 tff(4256,plain,
% 33.18/21.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4257,plain,
% 33.18/21.82 ((v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2))) <=> ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4258,plain,
% 33.18/21.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)))),
% 33.18/21.82 inference(monotonicity,[status(thm)],[4257])).
% 33.18/21.82 tff(4259,plain,
% 33.18/21.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 33.18/21.82 inference(transitivity,[status(thm)],[4258, 4256])).
% 33.18/21.82 tff(4260,plain,
% 33.18/21.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))),
% 33.18/21.82 inference(quant_inst,[status(thm)],[])).
% 33.18/21.82 tff(4261,plain,
% 33.18/21.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4260, 4259])).
% 33.18/21.82 tff(4262,plain,
% 33.18/21.82 ((~v127(constB25, bitIndex2)) | v130(constB25, bitIndex2)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4261, 689, 4184])).
% 33.18/21.82 tff(4263,plain,
% 33.18/21.82 (~v127(constB25, bitIndex2)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4262, 4255])).
% 33.18/21.82 tff(4264,plain,
% 33.18/21.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4265,plain,
% 33.18/21.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 33.18/21.82 inference(quant_inst,[status(thm)],[])).
% 33.18/21.82 tff(4266,plain,
% 33.18/21.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4265, 4264])).
% 33.18/21.82 tff(4267,plain,
% 33.18/21.82 (v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4266, 707, 4199])).
% 33.18/21.82 tff(4268,plain,
% 33.18/21.82 (~v129(constB26, bitIndex2)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4267, 4263])).
% 33.18/21.82 tff(4269,plain,
% 33.18/21.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4270,plain,
% 33.18/21.82 (((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2)) <=> ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4271,plain,
% 33.18/21.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26))))),
% 33.18/21.82 inference(monotonicity,[status(thm)],[4270])).
% 33.18/21.82 tff(4272,plain,
% 33.18/21.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 33.18/21.82 inference(transitivity,[status(thm)],[4271, 4269])).
% 33.18/21.82 tff(4273,plain,
% 33.18/21.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2))),
% 33.18/21.82 inference(quant_inst,[status(thm)],[])).
% 33.18/21.82 tff(4274,plain,
% 33.18/21.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26))),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4273, 4272])).
% 33.18/21.82 tff(4275,plain,
% 33.18/21.82 ((~v90(constB26, bitIndex2)) | (~v100(constB26))),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4274, 722, 4268])).
% 33.18/21.82 tff(4276,plain,
% 33.18/21.82 (~v90(constB26, bitIndex2)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4275, 4239])).
% 33.18/21.82 tff(4277,plain,
% 33.18/21.82 ((~v1(constB27)) <=> (~v1(constB27))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4278,axiom,(~v1(constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 33.18/21.82 tff(4279,plain,
% 33.18/21.82 (~v1(constB27)),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4278, 4277])).
% 33.18/21.82 tff(4280,plain,
% 33.18/21.82 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4281,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 33.18/21.82 tff(4282,plain,
% 33.18/21.82 (nextState(constB26, constB27)),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4281, 4280])).
% 33.18/21.82 tff(4283,plain,
% 33.18/21.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4284,plain,
% 33.18/21.82 (((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4285,plain,
% 33.18/21.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))))),
% 33.18/21.82 inference(monotonicity,[status(thm)],[4284])).
% 33.18/21.82 tff(4286,plain,
% 33.18/21.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 33.18/21.82 inference(transitivity,[status(thm)],[4285, 4283])).
% 33.18/21.82 tff(4287,plain,
% 33.18/21.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))),
% 33.18/21.82 inference(quant_inst,[status(thm)],[])).
% 33.18/21.82 tff(4288,plain,
% 33.18/21.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4287, 4286])).
% 33.18/21.82 tff(4289,plain,
% 33.18/21.82 (~v101(constB27)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4288, 381, 4282, 4279])).
% 33.18/21.82 tff(4290,plain,
% 33.18/21.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4291,plain,
% 33.18/21.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 33.18/21.82 inference(quant_inst,[status(thm)],[])).
% 33.18/21.82 tff(4292,plain,
% 33.18/21.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27))),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4291, 4290])).
% 33.18/21.82 tff(4293,plain,
% 33.18/21.82 (v101(constB27) | (~v100(constB27))),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4292, 398, 4282])).
% 33.18/21.82 tff(4294,plain,
% 33.18/21.82 (~v100(constB27)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4293, 4289])).
% 33.18/21.82 tff(4295,plain,
% 33.18/21.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4296,plain,
% 33.18/21.82 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))) <=> (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4297,plain,
% 33.18/21.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2))))),
% 33.18/21.82 inference(monotonicity,[status(thm)],[4296])).
% 33.18/21.82 tff(4298,plain,
% 33.18/21.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 33.18/21.82 inference(transitivity,[status(thm)],[4297, 4295])).
% 33.18/21.82 tff(4299,plain,
% 33.18/21.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 33.18/21.82 inference(quant_inst,[status(thm)],[])).
% 33.18/21.82 tff(4300,plain,
% 33.18/21.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4299, 4298])).
% 33.18/21.82 tff(4301,plain,
% 33.18/21.82 (v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4300, 413, 4282])).
% 33.18/21.82 tff(4302,plain,
% 33.18/21.82 (v90(constB26, bitIndex2) | (~v90(constB27, bitIndex2))),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4301, 4294])).
% 33.18/21.82 tff(4303,plain,
% 33.18/21.82 (~v90(constB27, bitIndex2)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4302, 4276])).
% 33.18/21.82 tff(4304,plain,
% 33.18/21.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB25, bitIndex0) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB25, bitIndex0) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4305,plain,
% 33.18/21.82 ((v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0)) <=> (v130(constB25, bitIndex0) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4306,plain,
% 33.18/21.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB25, bitIndex0) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)))),
% 33.18/21.82 inference(monotonicity,[status(thm)],[4305])).
% 33.18/21.82 tff(4307,plain,
% 33.18/21.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB25, bitIndex0) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 33.18/21.82 inference(transitivity,[status(thm)],[4306, 4304])).
% 33.18/21.82 tff(4308,plain,
% 33.18/21.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))),
% 33.18/21.82 inference(quant_inst,[status(thm)],[])).
% 33.18/21.82 tff(4309,plain,
% 33.18/21.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB25, bitIndex0) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4308, 4307])).
% 33.18/21.82 tff(4310,plain,
% 33.18/21.82 (v130(constB25, bitIndex0) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v124(constB25)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4309, 2495, 3990])).
% 33.18/21.82 tff(4311,plain,
% 33.18/21.82 (v130(constB25, bitIndex0)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4310, 4247, 3991, 3992, 3989, 4243])).
% 33.18/21.82 tff(4312,plain,
% 33.18/21.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4313,plain,
% 33.18/21.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 33.18/21.82 inference(quant_inst,[status(thm)],[])).
% 33.18/21.82 tff(4314,plain,
% 33.18/21.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4313, 4312])).
% 33.18/21.82 tff(4315,plain,
% 33.18/21.82 ((~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4314, 855, 4184])).
% 33.18/21.82 tff(4316,plain,
% 33.18/21.82 (v127(constB25, bitIndex0)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4315, 4311])).
% 33.18/21.82 tff(4317,plain,
% 33.18/21.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4318,plain,
% 33.18/21.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 33.18/21.82 inference(quant_inst,[status(thm)],[])).
% 33.18/21.82 tff(4319,plain,
% 33.18/21.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 33.18/21.82 tff(4320,plain,
% 33.18/21.82 ((~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4319, 870, 4199])).
% 33.18/21.82 tff(4321,plain,
% 33.18/21.82 (v129(constB26, bitIndex0)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4320, 4316])).
% 33.18/21.82 tff(4322,plain,
% 33.18/21.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4323,plain,
% 33.18/21.82 ((v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0))) <=> (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4324,plain,
% 33.18/21.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))))),
% 33.18/21.82 inference(monotonicity,[status(thm)],[4323])).
% 33.18/21.82 tff(4325,plain,
% 33.18/21.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 33.18/21.82 inference(transitivity,[status(thm)],[4324, 4322])).
% 33.18/21.82 tff(4326,plain,
% 33.18/21.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))),
% 33.18/21.82 inference(quant_inst,[status(thm)],[])).
% 33.18/21.82 tff(4327,plain,
% 33.18/21.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4326, 4325])).
% 33.18/21.82 tff(4328,plain,
% 33.18/21.82 (v90(constB26, bitIndex0) | (~v100(constB26))),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4327, 885, 4321])).
% 33.18/21.82 tff(4329,plain,
% 33.18/21.82 (v90(constB26, bitIndex0)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4328, 4239])).
% 33.18/21.82 tff(4330,plain,
% 33.18/21.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4331,plain,
% 33.18/21.82 (((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)) <=> ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 33.18/21.82 inference(rewrite,[status(thm)],[])).
% 33.18/21.82 tff(4332,plain,
% 33.18/21.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0)))),
% 33.18/21.82 inference(monotonicity,[status(thm)],[4331])).
% 33.18/21.82 tff(4333,plain,
% 33.18/21.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 33.18/21.82 inference(transitivity,[status(thm)],[4332, 4330])).
% 33.18/21.82 tff(4334,plain,
% 33.18/21.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))),
% 33.18/21.82 inference(quant_inst,[status(thm)],[])).
% 33.18/21.82 tff(4335,plain,
% 33.18/21.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0)),
% 33.18/21.82 inference(modus_ponens,[status(thm)],[4334, 4333])).
% 33.18/21.82 tff(4336,plain,
% 33.18/21.82 ((~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4335, 903, 4282])).
% 33.18/21.82 tff(4337,plain,
% 33.18/21.82 ((~v90(constB26, bitIndex0)) | v90(constB27, bitIndex0)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4336, 4294])).
% 33.18/21.82 tff(4338,plain,
% 33.18/21.82 (v90(constB27, bitIndex0)),
% 33.18/21.82 inference(unit_resolution,[status(thm)],[4337, 4329])).
% 33.18/21.82 tff(4339,plain,
% 33.18/21.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB25, bitIndex1)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB25, bitIndex1)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4340,plain,
% 33.18/21.83 ((v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1))) <=> ((~v130(constB25, bitIndex1)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4341,plain,
% 33.18/21.83 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB25, bitIndex1)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)))),
% 33.18/21.83 inference(monotonicity,[status(thm)],[4340])).
% 33.18/21.83 tff(4342,plain,
% 33.18/21.83 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB25, bitIndex1)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25))),
% 33.18/21.83 inference(transitivity,[status(thm)],[4341, 4339])).
% 33.18/21.83 tff(4343,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4344,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB25, bitIndex1)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4343, 4342])).
% 33.18/21.83 tff(4345,plain,
% 33.18/21.83 ((~v130(constB25, bitIndex1)) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v124(constB25)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4344, 2448, 3990])).
% 33.18/21.83 tff(4346,plain,
% 33.18/21.83 (~v130(constB25, bitIndex1)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4345, 4247, 3991, 3992, 3989, 4243])).
% 33.18/21.83 tff(4347,plain,
% 33.18/21.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4348,plain,
% 33.18/21.83 ((v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1))) <=> ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4349,plain,
% 33.18/21.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)))),
% 33.18/21.83 inference(monotonicity,[status(thm)],[4348])).
% 33.18/21.83 tff(4350,plain,
% 33.18/21.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 33.18/21.83 inference(transitivity,[status(thm)],[4349, 4347])).
% 33.18/21.83 tff(4351,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4352,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4351, 4350])).
% 33.18/21.83 tff(4353,plain,
% 33.18/21.83 ((~v127(constB25, bitIndex1)) | v130(constB25, bitIndex1)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4352, 781, 4184])).
% 33.18/21.83 tff(4354,plain,
% 33.18/21.83 (~v127(constB25, bitIndex1)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4353, 4346])).
% 33.18/21.83 tff(4355,plain,
% 33.18/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4356,plain,
% 33.18/21.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4357,plain,
% 33.18/21.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4356, 4355])).
% 33.18/21.83 tff(4358,plain,
% 33.18/21.83 (v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4357, 799, 4199])).
% 33.18/21.83 tff(4359,plain,
% 33.18/21.83 (~v129(constB26, bitIndex1)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4358, 4354])).
% 33.18/21.83 tff(4360,plain,
% 33.18/21.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4361,plain,
% 33.18/21.83 (((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1)) <=> ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4362,plain,
% 33.18/21.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))))),
% 33.18/21.83 inference(monotonicity,[status(thm)],[4361])).
% 33.18/21.83 tff(4363,plain,
% 33.18/21.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 33.18/21.83 inference(transitivity,[status(thm)],[4362, 4360])).
% 33.18/21.83 tff(4364,plain,
% 33.18/21.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4365,plain,
% 33.18/21.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4364, 4363])).
% 33.18/21.83 tff(4366,plain,
% 33.18/21.83 ((~v90(constB26, bitIndex1)) | (~v100(constB26))),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4365, 814, 4359])).
% 33.18/21.83 tff(4367,plain,
% 33.18/21.83 (~v90(constB26, bitIndex1)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4366, 4239])).
% 33.18/21.83 tff(4368,plain,
% 33.18/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4369,plain,
% 33.18/21.83 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))) <=> (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4370,plain,
% 33.18/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1))))),
% 33.18/21.83 inference(monotonicity,[status(thm)],[4369])).
% 33.18/21.83 tff(4371,plain,
% 33.18/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 33.18/21.83 inference(transitivity,[status(thm)],[4370, 4368])).
% 33.18/21.83 tff(4372,plain,
% 33.18/21.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4373,plain,
% 33.18/21.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4372, 4371])).
% 33.18/21.83 tff(4374,plain,
% 33.18/21.83 (v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4373, 434, 4282])).
% 33.18/21.83 tff(4375,plain,
% 33.18/21.83 (v90(constB26, bitIndex1) | (~v90(constB27, bitIndex1))),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4374, 4294])).
% 33.18/21.83 tff(4376,plain,
% 33.18/21.83 (~v90(constB27, bitIndex1)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4375, 4367])).
% 33.18/21.83 tff(4377,assumption,(~v120(constB27)), introduced(assumption)).
% 33.18/21.83 tff(4378,plain,
% 33.18/21.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4379,plain,
% 33.18/21.83 (((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)) <=> ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4380,plain,
% 33.18/21.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27)))),
% 33.18/21.83 inference(monotonicity,[status(thm)],[4379])).
% 33.18/21.83 tff(4381,plain,
% 33.18/21.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 33.18/21.83 inference(transitivity,[status(thm)],[4380, 4378])).
% 33.18/21.83 tff(4382,plain,
% 33.18/21.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4383,plain,
% 33.18/21.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27)),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4382, 4381])).
% 33.18/21.83 tff(4384,plain,
% 33.18/21.83 ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4383, 922, 4377])).
% 33.18/21.83 tff(4385,plain,
% 33.18/21.83 ($false),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4384, 4376, 4338, 4303])).
% 33.18/21.83 tff(4386,plain,(v90(constB25, bitIndex0) | v120(constB27) | v120(constB25) | v124(constB25) | v121(constB25) | v123(constB25)), inference(lemma,lemma(discharge,[]))).
% 33.18/21.83 tff(4387,plain,
% 33.18/21.83 (v120(constB27)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4386, 3987, 3983, 3949, 3945, 3910])).
% 33.18/21.83 tff(4388,plain,
% 33.18/21.83 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB27) | (~v120(constB27)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB27) | (~v120(constB27)))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4389,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB27) | (~v120(constB27)))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4390,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB27) | (~v120(constB27))),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4389, 4388])).
% 33.18/21.83 tff(4391,plain,
% 33.18/21.83 (v118(constB27)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4390, 936, 4387])).
% 33.18/21.83 tff(4392,plain,
% 33.18/21.83 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB27) | (~v118(constB27)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB27) | (~v118(constB27)))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4393,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB27) | (~v118(constB27)))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4394,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB27) | (~v118(constB27))),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4393, 4392])).
% 33.18/21.83 tff(4395,plain,
% 33.18/21.83 (v117(constB27)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4394, 498, 4391])).
% 33.18/21.83 tff(4396,plain,
% 33.18/21.83 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB27) | (~v117(constB27)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB27) | (~v117(constB27)))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4397,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB27) | (~v117(constB27)))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4398,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB27) | (~v117(constB27))),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4397, 4396])).
% 33.18/21.83 tff(4399,plain,
% 33.18/21.83 (v116(constB27)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4398, 509, 4395])).
% 33.18/21.83 tff(4400,plain,
% 33.18/21.83 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB27) | (~v116(constB27)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB27) | (~v116(constB27)))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4401,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB27) | (~v116(constB27)))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4402,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB27) | (~v116(constB27))),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4401, 4400])).
% 33.18/21.83 tff(4403,plain,
% 33.18/21.83 (v115(constB27)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4402, 520, 4399])).
% 33.18/21.83 tff(4404,plain,
% 33.18/21.83 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB27) | (~v115(constB27)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB27) | (~v115(constB27)))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4405,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB27) | (~v115(constB27)))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4406,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB27) | (~v115(constB27))),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4405, 4404])).
% 33.18/21.83 tff(4407,plain,
% 33.18/21.83 (v114(constB27)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4406, 531, 4403])).
% 33.18/21.83 tff(4408,plain,
% 33.18/21.83 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB27) | (~v114(constB27)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB27) | (~v114(constB27)))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4409,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB27) | (~v114(constB27)))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4410,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB27) | (~v114(constB27))),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 33.18/21.83 tff(4411,plain,
% 33.18/21.83 (v113(constB27)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4410, 542, 4407])).
% 33.18/21.83 tff(4412,assumption,(v26(constB27)), introduced(assumption)).
% 33.18/21.83 tff(4413,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB27))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4414,plain,
% 33.18/21.83 ($false),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4413, 120, 4412])).
% 33.18/21.83 tff(4415,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 33.18/21.83 tff(4416,plain,
% 33.18/21.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4417,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4418,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27)),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4417, 4416])).
% 33.18/21.83 tff(4419,plain,
% 33.18/21.83 ((~v113(constB27)) | v112(constB27)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4418, 556, 4415])).
% 33.18/21.83 tff(4420,plain,
% 33.18/21.83 (v112(constB27)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4419, 4411])).
% 33.18/21.83 tff(4421,plain,
% 33.18/21.83 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB27) | (~v112(constB27)))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4422,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB27) | (~v112(constB27)))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4423,plain,
% 33.18/21.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB27) | (~v112(constB27))),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4422, 4421])).
% 33.18/21.83 tff(4424,plain,
% 33.18/21.83 (v108(constB27)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4423, 568, 4420])).
% 33.18/21.83 tff(4425,plain,
% 33.18/21.83 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4426,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 33.18/21.83 tff(4427,plain,
% 33.18/21.83 (nextState(constB27, constB28)),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4426, 4425])).
% 33.18/21.83 tff(4428,plain,
% 33.18/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4429,plain,
% 33.18/21.83 (((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28)) <=> ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4430,plain,
% 33.18/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))))),
% 33.18/21.83 inference(monotonicity,[status(thm)],[4429])).
% 33.18/21.83 tff(4431,plain,
% 33.18/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 33.18/21.83 inference(transitivity,[status(thm)],[4430, 4428])).
% 33.18/21.83 tff(4432,plain,
% 33.18/21.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4433,plain,
% 33.18/21.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4432, 4431])).
% 33.18/21.83 tff(4434,plain,
% 33.18/21.83 (v110(constB28) | (~v108(constB27))),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4433, 585, 4427])).
% 33.18/21.83 tff(4435,plain,
% 33.18/21.83 (v110(constB28)),
% 33.18/21.83 inference(unit_resolution,[status(thm)],[4434, 4424])).
% 33.18/21.83 tff(4436,plain,
% 33.18/21.83 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 33.18/21.83 inference(rewrite,[status(thm)],[])).
% 33.18/21.83 tff(4437,plain,
% 33.18/21.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 33.18/21.83 inference(quant_inst,[status(thm)],[])).
% 33.18/21.83 tff(4438,plain,
% 33.18/21.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28))),
% 33.18/21.83 inference(modus_ponens,[status(thm)],[4437, 4436])).
% 33.24/21.83 tff(4439,plain,
% 33.24/21.83 (~v104(constB28)),
% 33.24/21.83 inference(unit_resolution,[status(thm)],[4438, 603, 4427, 4279])).
% 33.24/21.83 tff(4440,plain,
% 33.24/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))),
% 33.24/21.83 inference(rewrite,[status(thm)],[])).
% 33.24/21.83 tff(4441,plain,
% 33.24/21.83 (((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28)) <=> ((~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))),
% 33.24/21.83 inference(rewrite,[status(thm)],[])).
% 33.24/21.83 tff(4442,plain,
% 33.24/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | v102(constB28)))),
% 33.24/21.83 inference(monotonicity,[status(thm)],[4441])).
% 33.24/21.83 tff(4443,plain,
% 33.24/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))),
% 33.24/21.83 inference(transitivity,[status(thm)],[4442, 4440])).
% 33.24/21.83 tff(4444,plain,
% 33.24/21.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 33.24/21.83 inference(quant_inst,[status(thm)],[])).
% 33.24/21.83 tff(4445,plain,
% 33.24/21.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | v102(constB28)),
% 33.24/21.83 inference(modus_ponens,[status(thm)],[4444, 4443])).
% 33.24/21.83 tff(4446,plain,
% 33.24/21.83 (v104(constB28) | v102(constB28)),
% 33.24/21.83 inference(unit_resolution,[status(thm)],[4445, 617, 4427])).
% 33.24/21.83 tff(4447,plain,
% 33.24/21.83 (v102(constB28)),
% 33.24/21.83 inference(unit_resolution,[status(thm)],[4446, 4439])).
% 33.24/21.83 tff(4448,plain,
% 33.24/21.83 (v1(constB28) <=> v1(constB28)),
% 33.24/21.83 inference(rewrite,[status(thm)],[])).
% 33.24/21.83 tff(4449,axiom,(v1(constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 33.24/21.83 tff(4450,plain,
% 33.24/21.83 (v1(constB28)),
% 33.24/21.83 inference(modus_ponens,[status(thm)],[4449, 4448])).
% 33.24/21.83 tff(4451,plain,
% 33.24/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))),
% 33.24/21.83 inference(rewrite,[status(thm)],[])).
% 33.24/21.83 tff(4452,plain,
% 33.24/21.83 (((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28))) <=> ((~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))),
% 33.24/21.83 inference(rewrite,[status(thm)],[])).
% 33.24/21.83 tff(4453,plain,
% 33.24/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28))))),
% 33.24/21.83 inference(monotonicity,[status(thm)],[4452])).
% 33.24/21.83 tff(4454,plain,
% 33.24/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))),
% 33.24/21.83 inference(transitivity,[status(thm)],[4453, 4451])).
% 33.24/21.83 tff(4455,plain,
% 33.24/21.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 33.24/21.83 inference(quant_inst,[status(thm)],[])).
% 33.24/21.83 tff(4456,plain,
% 33.24/21.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28))),
% 33.24/21.83 inference(modus_ponens,[status(thm)],[4455, 4454])).
% 33.24/21.83 tff(4457,plain,
% 33.24/21.83 (v101(constB28) | (~v102(constB28))),
% 33.24/21.83 inference(unit_resolution,[status(thm)],[4456, 638, 4427, 4450])).
% 33.24/21.83 tff(4458,plain,
% 33.24/21.83 (v101(constB28)),
% 33.24/21.83 inference(unit_resolution,[status(thm)],[4457, 4447])).
% 33.24/21.83 tff(4459,plain,
% 33.24/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 33.24/21.83 inference(rewrite,[status(thm)],[])).
% 33.24/21.83 tff(4460,plain,
% 33.24/21.83 (((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28)) <=> ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 33.24/21.83 inference(rewrite,[status(thm)],[])).
% 33.24/21.83 tff(4461,plain,
% 33.24/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))))),
% 33.24/21.83 inference(monotonicity,[status(thm)],[4460])).
% 33.24/21.83 tff(4462,plain,
% 33.24/21.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 33.24/21.83 inference(transitivity,[status(thm)],[4461, 4459])).
% 33.24/21.83 tff(4463,plain,
% 33.24/21.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))),
% 33.24/21.83 inference(quant_inst,[status(thm)],[])).
% 33.24/21.83 tff(4464,plain,
% 33.24/21.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 33.24/21.83 inference(modus_ponens,[status(thm)],[4463, 4462])).
% 33.24/21.83 tff(4465,plain,
% 33.24/21.83 (v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 33.24/21.83 inference(unit_resolution,[status(thm)],[4464, 656, 4427])).
% 33.24/21.83 tff(4466,plain,
% 33.24/21.83 (v100(constB28) | (~v110(constB28))),
% 33.24/21.83 inference(unit_resolution,[status(thm)],[4465, 4458])).
% 33.24/21.83 tff(4467,plain,
% 33.24/21.83 (v100(constB28)),
% 33.24/21.83 inference(unit_resolution,[status(thm)],[4466, 4435])).
% 33.24/21.83 tff(4468,plain,
% 33.24/21.83 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 33.24/21.83 inference(rewrite,[status(thm)],[])).
% 33.24/21.83 tff(4469,plain,
% 33.24/21.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4470,plain,
% 33.24/21.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4469, 4468])).
% 33.24/21.84 tff(4471,plain,
% 33.24/21.84 (~v130(constB27, bitIndex0)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4470, 1168, 4387])).
% 33.24/21.84 tff(4472,assumption,(v127(constB27, bitIndex0)), introduced(assumption)).
% 33.24/21.84 tff(4473,assumption,(~v130(constB27, bitIndex0)), introduced(assumption)).
% 33.24/21.84 tff(4474,plain,
% 33.24/21.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4475,plain,
% 33.24/21.84 ((v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0))) <=> ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4476,plain,
% 33.24/21.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)))),
% 33.24/21.84 inference(monotonicity,[status(thm)],[4475])).
% 33.24/21.84 tff(4477,plain,
% 33.24/21.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 33.24/21.84 inference(transitivity,[status(thm)],[4476, 4474])).
% 33.24/21.84 tff(4478,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4479,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4478, 4477])).
% 33.24/21.84 tff(4480,plain,
% 33.24/21.84 ((~v127(constB27, bitIndex0)) | v26(constB27)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4479, 1182, 4473])).
% 33.24/21.84 tff(4481,plain,
% 33.24/21.84 (v26(constB27)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4480, 4472])).
% 33.24/21.84 tff(4482,plain,
% 33.24/21.84 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB27)) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB27)) | (~v127(constB27, bitIndex0)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4483,plain,
% 33.24/21.84 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB27)) | (~v127(constB27, bitIndex0)))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4484,plain,
% 33.24/21.84 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB27)) | (~v127(constB27, bitIndex0))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4483, 4482])).
% 33.24/21.84 tff(4485,plain,
% 33.24/21.84 ($false),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4484, 3012, 4472, 4481])).
% 33.24/21.84 tff(4486,plain,((~v127(constB27, bitIndex0)) | v130(constB27, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 33.24/21.84 tff(4487,plain,
% 33.24/21.84 (~v127(constB27, bitIndex0)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4486, 4471])).
% 33.24/21.84 tff(4488,plain,
% 33.24/21.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4489,plain,
% 33.24/21.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4490,plain,
% 33.24/21.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4489, 4488])).
% 33.24/21.84 tff(4491,plain,
% 33.24/21.84 (v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4490, 1200, 4427])).
% 33.24/21.84 tff(4492,plain,
% 33.24/21.84 (~v129(constB28, bitIndex0)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4491, 4487])).
% 33.24/21.84 tff(4493,plain,
% 33.24/21.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4494,plain,
% 33.24/21.84 (((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0)) <=> ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4495,plain,
% 33.24/21.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))))),
% 33.24/21.84 inference(monotonicity,[status(thm)],[4494])).
% 33.24/21.84 tff(4496,plain,
% 33.24/21.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 33.24/21.84 inference(transitivity,[status(thm)],[4495, 4493])).
% 33.24/21.84 tff(4497,plain,
% 33.24/21.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4498,plain,
% 33.24/21.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4497, 4496])).
% 33.24/21.84 tff(4499,plain,
% 33.24/21.84 ((~v90(constB28, bitIndex0)) | (~v100(constB28))),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4498, 1215, 4492])).
% 33.24/21.84 tff(4500,plain,
% 33.24/21.84 (~v90(constB28, bitIndex0)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4499, 4467])).
% 33.24/21.84 tff(4501,plain,
% 33.24/21.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4502,plain,
% 33.24/21.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4503,plain,
% 33.24/21.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4502, 4501])).
% 33.24/21.84 tff(4504,plain,
% 33.24/21.84 (~v130(constB27, bitIndex2)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4503, 1025, 4387])).
% 33.24/21.84 tff(4505,plain,
% 33.24/21.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4506,plain,
% 33.24/21.84 ((v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2))) <=> ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4507,plain,
% 33.24/21.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)))),
% 33.24/21.84 inference(monotonicity,[status(thm)],[4506])).
% 33.24/21.84 tff(4508,plain,
% 33.24/21.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 33.24/21.84 inference(transitivity,[status(thm)],[4507, 4505])).
% 33.24/21.84 tff(4509,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4510,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4509, 4508])).
% 33.24/21.84 tff(4511,plain,
% 33.24/21.84 ((~v127(constB27, bitIndex2)) | v130(constB27, bitIndex2)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4510, 689, 4415])).
% 33.24/21.84 tff(4512,plain,
% 33.24/21.84 (~v127(constB27, bitIndex2)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4511, 4504])).
% 33.24/21.84 tff(4513,plain,
% 33.24/21.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4514,plain,
% 33.24/21.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4515,plain,
% 33.24/21.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4514, 4513])).
% 33.24/21.84 tff(4516,plain,
% 33.24/21.84 (v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4515, 707, 4427])).
% 33.24/21.84 tff(4517,plain,
% 33.24/21.84 (~v129(constB28, bitIndex2)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4516, 4512])).
% 33.24/21.84 tff(4518,plain,
% 33.24/21.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4519,plain,
% 33.24/21.84 (((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2)) <=> ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4520,plain,
% 33.24/21.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28))))),
% 33.24/21.84 inference(monotonicity,[status(thm)],[4519])).
% 33.24/21.84 tff(4521,plain,
% 33.24/21.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 33.24/21.84 inference(transitivity,[status(thm)],[4520, 4518])).
% 33.24/21.84 tff(4522,plain,
% 33.24/21.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4523,plain,
% 33.24/21.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4522, 4521])).
% 33.24/21.84 tff(4524,plain,
% 33.24/21.84 ((~v90(constB28, bitIndex2)) | (~v100(constB28))),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4523, 722, 4517])).
% 33.24/21.84 tff(4525,plain,
% 33.24/21.84 (~v90(constB28, bitIndex2)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4524, 4467])).
% 33.24/21.84 tff(4526,assumption,(~v90(constB28, bitIndex2)), introduced(assumption)).
% 33.24/21.84 tff(4527,assumption,(~v90(constB28, bitIndex0)), introduced(assumption)).
% 33.24/21.84 tff(4528,assumption,(~v90(constB28, bitIndex1)), introduced(assumption)).
% 33.24/21.84 tff(4529,plain,
% 33.24/21.84 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> (v90(VarCurr, bitIndex1) | (~v121(VarCurr))))),
% 33.24/21.84 inference(bind,[status(th)],[])).
% 33.24/21.84 tff(4530,plain,
% 33.24/21.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 33.24/21.84 inference(quant_intro,[status(thm)],[4529])).
% 33.24/21.84 tff(4531,plain,
% 33.24/21.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4532,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 33.24/21.84 tff(4533,plain,
% 33.24/21.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4532, 4531])).
% 33.24/21.84 tff(4534,plain,(
% 33.24/21.84 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 33.24/21.84 inference(skolemize,[status(sab)],[4533])).
% 33.24/21.84 tff(4535,plain,
% 33.24/21.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4534, 4530])).
% 33.24/21.84 tff(4536,plain,
% 33.24/21.84 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB28, bitIndex1) | (~v121(constB28)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB28, bitIndex1) | (~v121(constB28)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4537,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB28, bitIndex1) | (~v121(constB28)))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4538,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB28, bitIndex1) | (~v121(constB28))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4537, 4536])).
% 33.24/21.84 tff(4539,plain,
% 33.24/21.84 (~v121(constB28)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4538, 4535, 4528])).
% 33.24/21.84 tff(4540,plain,
% 33.24/21.84 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v125(VarCurr))) <=> (v90(VarCurr, bitIndex2) | (~v125(VarCurr))))),
% 33.24/21.84 inference(bind,[status(th)],[])).
% 33.24/21.84 tff(4541,plain,
% 33.24/21.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))),
% 33.24/21.84 inference(quant_intro,[status(thm)],[4540])).
% 33.24/21.84 tff(4542,plain,
% 33.24/21.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4543,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_2')).
% 33.24/21.84 tff(4544,plain,
% 33.24/21.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4543, 4542])).
% 33.24/21.84 tff(4545,plain,(
% 33.24/21.84 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))),
% 33.24/21.84 inference(skolemize,[status(sab)],[4544])).
% 33.24/21.84 tff(4546,plain,
% 33.24/21.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4545, 4541])).
% 33.24/21.84 tff(4547,plain,
% 33.24/21.84 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | (v90(constB28, bitIndex2) | (~v125(constB28)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | v90(constB28, bitIndex2) | (~v125(constB28)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4548,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | (v90(constB28, bitIndex2) | (~v125(constB28)))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4549,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | v90(constB28, bitIndex2) | (~v125(constB28))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4548, 4547])).
% 33.24/21.84 tff(4550,plain,
% 33.24/21.84 (~v125(constB28)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4549, 4546, 4526])).
% 33.24/21.84 tff(4551,plain,
% 33.24/21.84 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> (v90(VarCurr, bitIndex2) | (~v123(VarCurr))))),
% 33.24/21.84 inference(bind,[status(th)],[])).
% 33.24/21.84 tff(4552,plain,
% 33.24/21.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 33.24/21.84 inference(quant_intro,[status(thm)],[4551])).
% 33.24/21.84 tff(4553,plain,
% 33.24/21.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4554,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_2')).
% 33.24/21.84 tff(4555,plain,
% 33.24/21.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4554, 4553])).
% 33.24/21.84 tff(4556,plain,(
% 33.24/21.84 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 33.24/21.84 inference(skolemize,[status(sab)],[4555])).
% 33.24/21.84 tff(4557,plain,
% 33.24/21.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4556, 4552])).
% 33.24/21.84 tff(4558,plain,
% 33.24/21.84 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB28, bitIndex2) | (~v123(constB28)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB28, bitIndex2) | (~v123(constB28)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4559,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB28, bitIndex2) | (~v123(constB28)))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4560,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB28, bitIndex2) | (~v123(constB28))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4559, 4558])).
% 33.24/21.84 tff(4561,plain,
% 33.24/21.84 (~v123(constB28)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4560, 4557, 4526])).
% 33.24/21.84 tff(4562,assumption,(~v26(constB27)), introduced(assumption)).
% 33.24/21.84 tff(4563,assumption,(~v127(constB27, bitIndex0)), introduced(assumption)).
% 33.24/21.84 tff(4564,plain,
% 33.24/21.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB27) | (~v130(constB27, bitIndex0)) | v127(constB27, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB27) | (~v130(constB27, bitIndex0)) | v127(constB27, bitIndex0))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4565,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB27) | (~v130(constB27, bitIndex0)) | v127(constB27, bitIndex0))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4566,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB27) | (~v130(constB27, bitIndex0)) | v127(constB27, bitIndex0)),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4565, 4564])).
% 33.24/21.84 tff(4567,plain,
% 33.24/21.84 ((~v130(constB27, bitIndex0)) | v127(constB27, bitIndex0)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4566, 855, 4562])).
% 33.24/21.84 tff(4568,plain,
% 33.24/21.84 (~v130(constB27, bitIndex0)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4567, 4563])).
% 33.24/21.84 tff(4569,plain,
% 33.24/21.84 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB27)) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB27)) | v130(constB27, bitIndex0))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4570,plain,
% 33.24/21.84 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB27)) | v130(constB27, bitIndex0))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4571,plain,
% 33.24/21.84 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB27)) | v130(constB27, bitIndex0)),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4570, 4569])).
% 33.24/21.84 tff(4572,plain,
% 33.24/21.84 (~v119(constB27)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4571, 841, 4568])).
% 33.24/21.84 tff(4573,assumption,(~v123(constB28)), introduced(assumption)).
% 33.24/21.84 tff(4574,plain,
% 33.24/21.84 (~v129(constB28, bitIndex0)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4491, 4563])).
% 33.24/21.84 tff(4575,assumption,(v122(constB27)), introduced(assumption)).
% 33.24/21.84 tff(4576,plain,
% 33.24/21.84 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB27) | (~v122(constB27)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB27) | (~v122(constB27)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4577,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB27) | (~v122(constB27)))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4578,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB27) | (~v122(constB27))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4577, 4576])).
% 33.24/21.84 tff(4579,plain,
% 33.24/21.84 (v116(constB27)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4578, 1497, 4575])).
% 33.24/21.84 tff(4580,plain,
% 33.24/21.84 (v115(constB27)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4402, 520, 4579])).
% 33.24/21.84 tff(4581,plain,
% 33.24/21.84 (v114(constB27)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4406, 531, 4580])).
% 33.24/21.84 tff(4582,plain,
% 33.24/21.84 (v113(constB27)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4410, 542, 4581])).
% 33.24/21.84 tff(4583,plain,
% 33.24/21.84 ((~v113(constB27)) | v112(constB27)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4418, 556, 4562])).
% 33.24/21.84 tff(4584,plain,
% 33.24/21.84 (v112(constB27)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4583, 4582])).
% 33.24/21.84 tff(4585,plain,
% 33.24/21.84 (v108(constB27)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4423, 568, 4584])).
% 33.24/21.84 tff(4586,plain,
% 33.24/21.84 (v110(constB28)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4434, 4585])).
% 33.24/21.84 tff(4587,plain,
% 33.24/21.84 (v100(constB28)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4466, 4586])).
% 33.24/21.84 tff(4588,plain,
% 33.24/21.84 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB27)) | v130(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB27)) | v130(constB27, bitIndex2))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4589,plain,
% 33.24/21.84 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB27)) | v130(constB27, bitIndex2))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4590,plain,
% 33.24/21.84 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB27)) | v130(constB27, bitIndex2)),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4589, 4588])).
% 33.24/21.84 tff(4591,plain,
% 33.24/21.84 (v130(constB27, bitIndex2)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4590, 1578, 4575])).
% 33.24/21.84 tff(4592,plain,
% 33.24/21.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB27) | (~v130(constB27, bitIndex2)) | v127(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB27) | (~v130(constB27, bitIndex2)) | v127(constB27, bitIndex2))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4593,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB27) | (~v130(constB27, bitIndex2)) | v127(constB27, bitIndex2))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4594,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB27) | (~v130(constB27, bitIndex2)) | v127(constB27, bitIndex2)),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4593, 4592])).
% 33.24/21.84 tff(4595,plain,
% 33.24/21.84 ((~v130(constB27, bitIndex2)) | v127(constB27, bitIndex2)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4594, 1592, 4562])).
% 33.24/21.84 tff(4596,plain,
% 33.24/21.84 (v127(constB27, bitIndex2)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4595, 4591])).
% 33.24/21.84 tff(4597,plain,
% 33.24/21.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex2)) | v129(constB28, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex2)) | v129(constB28, bitIndex2))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4598,plain,
% 33.24/21.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex2)) | v129(constB28, bitIndex2))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4599,plain,
% 33.24/21.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex2)) | v129(constB28, bitIndex2)),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4598, 4597])).
% 33.24/21.84 tff(4600,plain,
% 33.24/21.84 ((~v127(constB27, bitIndex2)) | v129(constB28, bitIndex2)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4599, 1607, 4427])).
% 33.24/21.84 tff(4601,plain,
% 33.24/21.84 (v129(constB28, bitIndex2)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4600, 4596])).
% 33.24/21.84 tff(4602,plain,
% 33.24/21.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4603,plain,
% 33.24/21.84 ((v90(constB28, bitIndex2) | (~v100(constB28)) | (~v129(constB28, bitIndex2))) <=> (v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4604,plain,
% 33.24/21.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~v100(constB28)) | (~v129(constB28, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28))))),
% 33.24/21.84 inference(monotonicity,[status(thm)],[4603])).
% 33.24/21.84 tff(4605,plain,
% 33.24/21.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~v100(constB28)) | (~v129(constB28, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28)))),
% 33.24/21.84 inference(transitivity,[status(thm)],[4604, 4602])).
% 33.24/21.84 tff(4606,plain,
% 33.24/21.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~v100(constB28)) | (~v129(constB28, bitIndex2)))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4607,plain,
% 33.24/21.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4606, 4605])).
% 33.24/21.84 tff(4608,plain,
% 33.24/21.84 (v90(constB28, bitIndex2) | (~v100(constB28))),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4607, 1622, 4601])).
% 33.24/21.84 tff(4609,plain,
% 33.24/21.84 (v90(constB28, bitIndex2)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4608, 4587])).
% 33.24/21.84 tff(4610,assumption,(~v129(constB28, bitIndex0)), introduced(assumption)).
% 33.24/21.84 tff(4611,plain,
% 33.24/21.84 ((~v90(constB28, bitIndex0)) | (~v100(constB28))),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4498, 1215, 4610])).
% 33.24/21.84 tff(4612,plain,
% 33.24/21.84 (~v90(constB28, bitIndex0)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4611, 4587])).
% 33.24/21.84 tff(4613,plain,
% 33.24/21.84 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB27)) | (~v130(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB27)) | (~v130(constB27, bitIndex1)))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4614,plain,
% 33.24/21.84 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB27)) | (~v130(constB27, bitIndex1)))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4615,plain,
% 33.24/21.84 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB27)) | (~v130(constB27, bitIndex1))),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4614, 4613])).
% 33.24/21.84 tff(4616,plain,
% 33.24/21.84 (~v130(constB27, bitIndex1)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4615, 1677, 4575])).
% 33.24/21.84 tff(4617,plain,
% 33.24/21.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4618,plain,
% 33.24/21.84 ((v26(constB27) | v130(constB27, bitIndex1) | (~v127(constB27, bitIndex1))) <=> ((~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1))),
% 33.24/21.84 inference(rewrite,[status(thm)],[])).
% 33.24/21.84 tff(4619,plain,
% 33.24/21.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB27) | v130(constB27, bitIndex1) | (~v127(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1)))),
% 33.24/21.84 inference(monotonicity,[status(thm)],[4618])).
% 33.24/21.84 tff(4620,plain,
% 33.24/21.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB27) | v130(constB27, bitIndex1) | (~v127(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1))),
% 33.24/21.84 inference(transitivity,[status(thm)],[4619, 4617])).
% 33.24/21.84 tff(4621,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB27) | v130(constB27, bitIndex1) | (~v127(constB27, bitIndex1)))),
% 33.24/21.84 inference(quant_inst,[status(thm)],[])).
% 33.24/21.84 tff(4622,plain,
% 33.24/21.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1)),
% 33.24/21.84 inference(modus_ponens,[status(thm)],[4621, 4620])).
% 33.24/21.84 tff(4623,plain,
% 33.24/21.84 ((~v127(constB27, bitIndex1)) | v130(constB27, bitIndex1)),
% 33.24/21.84 inference(unit_resolution,[status(thm)],[4622, 781, 4562])).
% 33.24/21.85 tff(4624,plain,
% 33.24/21.85 (~v127(constB27, bitIndex1)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4623, 4616])).
% 33.24/21.85 tff(4625,plain,
% 33.24/21.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex1) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex1) | (~v129(constB28, bitIndex1)))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4626,plain,
% 33.24/21.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex1) | (~v129(constB28, bitIndex1)))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4627,plain,
% 33.24/21.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex1) | (~v129(constB28, bitIndex1))),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4626, 4625])).
% 33.24/21.85 tff(4628,plain,
% 33.24/21.85 (v127(constB27, bitIndex1) | (~v129(constB28, bitIndex1))),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4627, 799, 4427])).
% 33.24/21.85 tff(4629,plain,
% 33.24/21.85 (~v129(constB28, bitIndex1)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4628, 4624])).
% 33.24/21.85 tff(4630,plain,
% 33.24/21.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | v129(constB28, bitIndex1) | (~v100(constB28)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | v129(constB28, bitIndex1) | (~v100(constB28)))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4631,plain,
% 33.24/21.85 (((~v90(constB28, bitIndex1)) | (~v100(constB28)) | v129(constB28, bitIndex1)) <=> ((~v90(constB28, bitIndex1)) | v129(constB28, bitIndex1) | (~v100(constB28)))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4632,plain,
% 33.24/21.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~v100(constB28)) | v129(constB28, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | v129(constB28, bitIndex1) | (~v100(constB28))))),
% 33.24/21.85 inference(monotonicity,[status(thm)],[4631])).
% 33.24/21.85 tff(4633,plain,
% 33.24/21.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~v100(constB28)) | v129(constB28, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | v129(constB28, bitIndex1) | (~v100(constB28)))),
% 33.24/21.85 inference(transitivity,[status(thm)],[4632, 4630])).
% 33.24/21.85 tff(4634,plain,
% 33.24/21.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~v100(constB28)) | v129(constB28, bitIndex1))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4635,plain,
% 33.24/21.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | v129(constB28, bitIndex1) | (~v100(constB28))),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4634, 4633])).
% 33.24/21.85 tff(4636,plain,
% 33.24/21.85 ((~v90(constB28, bitIndex1)) | (~v100(constB28))),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4635, 814, 4629])).
% 33.24/21.85 tff(4637,plain,
% 33.24/21.85 (~v90(constB28, bitIndex1)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4636, 4587])).
% 33.24/21.85 tff(4638,plain,
% 33.24/21.85 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB28, bitIndex0) | v90(constB28, bitIndex1) | (~v90(constB28, bitIndex2)) | v123(constB28))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB28, bitIndex0) | v90(constB28, bitIndex1) | (~v90(constB28, bitIndex2)) | v123(constB28))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4639,plain,
% 33.24/21.85 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB28, bitIndex0) | v90(constB28, bitIndex1) | (~v90(constB28, bitIndex2)) | v123(constB28))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4640,plain,
% 33.24/21.85 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB28, bitIndex0) | v90(constB28, bitIndex1) | (~v90(constB28, bitIndex2)) | v123(constB28)),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4639, 4638])).
% 33.24/21.85 tff(4641,plain,
% 33.24/21.85 (v90(constB28, bitIndex0) | v90(constB28, bitIndex1) | (~v90(constB28, bitIndex2))),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4640, 1765, 4573])).
% 33.24/21.85 tff(4642,plain,
% 33.24/21.85 ($false),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4641, 4637, 4612, 4609])).
% 33.24/21.85 tff(4643,plain,((~v122(constB27)) | v123(constB28) | v129(constB28, bitIndex0) | v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 33.24/21.85 tff(4644,plain,
% 33.24/21.85 (~v122(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4643, 4574, 4573, 4562])).
% 33.24/21.85 tff(4645,plain,
% 33.24/21.85 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB27)) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB27)) | v130(constB27, bitIndex0))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4646,plain,
% 33.24/21.85 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB27)) | v130(constB27, bitIndex0))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4647,plain,
% 33.24/21.85 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB27)) | v130(constB27, bitIndex0)),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4646, 4645])).
% 33.24/21.85 tff(4648,plain,
% 33.24/21.85 (~v123(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4647, 1953, 4568])).
% 33.24/21.85 tff(4649,plain,
% 33.24/21.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB27)) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB27)) | v130(constB27, bitIndex0))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4650,plain,
% 33.24/21.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB27)) | v130(constB27, bitIndex0))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4651,plain,
% 33.24/21.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB27)) | v130(constB27, bitIndex0)),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4650, 4649])).
% 33.24/21.85 tff(4652,plain,
% 33.24/21.85 (~v121(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4651, 1445, 4568])).
% 33.24/21.85 tff(4653,assumption,(~v125(constB28)), introduced(assumption)).
% 33.24/21.85 tff(4654,assumption,(v124(constB27)), introduced(assumption)).
% 33.24/21.85 tff(4655,plain,
% 33.24/21.85 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB27) | (~v124(constB27)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB27) | (~v124(constB27)))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4656,plain,
% 33.24/21.85 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB27) | (~v124(constB27)))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4657,plain,
% 33.24/21.85 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB27) | (~v124(constB27))),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4656, 4655])).
% 33.24/21.85 tff(4658,plain,
% 33.24/21.85 (v114(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4657, 2005, 4654])).
% 33.24/21.85 tff(4659,plain,
% 33.24/21.85 (v113(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4410, 542, 4658])).
% 33.24/21.85 tff(4660,plain,
% 33.24/21.85 (v112(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4583, 4659])).
% 33.24/21.85 tff(4661,plain,
% 33.24/21.85 (v108(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4423, 568, 4660])).
% 33.24/21.85 tff(4662,plain,
% 33.24/21.85 (v110(constB28)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4434, 4661])).
% 33.24/21.85 tff(4663,plain,
% 33.24/21.85 (v100(constB28)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4466, 4662])).
% 33.24/21.85 tff(4664,plain,
% 33.24/21.85 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB27)) | v130(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB27)) | v130(constB27, bitIndex2))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4665,plain,
% 33.24/21.85 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB27)) | v130(constB27, bitIndex2))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4666,plain,
% 33.24/21.85 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB27)) | v130(constB27, bitIndex2)),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4665, 4664])).
% 33.24/21.85 tff(4667,plain,
% 33.24/21.85 (v130(constB27, bitIndex2)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4666, 2075, 4654])).
% 33.24/21.85 tff(4668,plain,
% 33.24/21.85 (v127(constB27, bitIndex2)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4595, 4667])).
% 33.24/21.85 tff(4669,plain,
% 33.24/21.85 (v129(constB28, bitIndex2)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4600, 4668])).
% 33.24/21.85 tff(4670,plain,
% 33.24/21.85 (v90(constB28, bitIndex2) | (~v100(constB28))),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4607, 1622, 4669])).
% 33.24/21.85 tff(4671,plain,
% 33.24/21.85 (v90(constB28, bitIndex2)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4670, 4663])).
% 33.24/21.85 tff(4672,plain,
% 33.24/21.85 (~v90(constB28, bitIndex0)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4611, 4663])).
% 33.24/21.85 tff(4673,plain,
% 33.24/21.85 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB27)) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB27)) | v130(constB27, bitIndex1))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4674,plain,
% 33.24/21.85 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB27)) | v130(constB27, bitIndex1))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4675,plain,
% 33.24/21.85 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB27)) | v130(constB27, bitIndex1)),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4674, 4673])).
% 33.24/21.85 tff(4676,plain,
% 33.24/21.85 (v130(constB27, bitIndex1)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4675, 2145, 4654])).
% 33.24/21.85 tff(4677,plain,
% 33.24/21.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4678,plain,
% 33.24/21.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4679,plain,
% 33.24/21.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4678, 4677])).
% 33.24/21.85 tff(4680,plain,
% 33.24/21.85 ((~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4679, 1101, 4562])).
% 33.24/21.85 tff(4681,plain,
% 33.24/21.85 (v127(constB27, bitIndex1)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4680, 4676])).
% 33.24/21.85 tff(4682,plain,
% 33.24/21.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4683,plain,
% 33.24/21.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4684,plain,
% 33.24/21.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4683, 4682])).
% 33.24/21.85 tff(4685,plain,
% 33.24/21.85 ((~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4684, 1116, 4427])).
% 33.24/21.85 tff(4686,plain,
% 33.24/21.85 (v129(constB28, bitIndex1)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4685, 4681])).
% 33.24/21.85 tff(4687,plain,
% 33.24/21.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4688,plain,
% 33.24/21.85 ((v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1))) <=> (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4689,plain,
% 33.24/21.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))))),
% 33.24/21.85 inference(monotonicity,[status(thm)],[4688])).
% 33.24/21.85 tff(4690,plain,
% 33.24/21.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 33.24/21.85 inference(transitivity,[status(thm)],[4689, 4687])).
% 33.24/21.85 tff(4691,plain,
% 33.24/21.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4692,plain,
% 33.24/21.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4691, 4690])).
% 33.24/21.85 tff(4693,plain,
% 33.24/21.85 (v90(constB28, bitIndex1) | (~v100(constB28))),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4692, 1131, 4686])).
% 33.24/21.85 tff(4694,plain,
% 33.24/21.85 (v90(constB28, bitIndex1)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4693, 4663])).
% 33.24/21.85 tff(4695,plain,
% 33.24/21.85 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB28, bitIndex0) | (~v90(constB28, bitIndex1)) | (~v90(constB28, bitIndex2)) | v125(constB28))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB28, bitIndex0) | (~v90(constB28, bitIndex1)) | (~v90(constB28, bitIndex2)) | v125(constB28))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4696,plain,
% 33.24/21.85 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB28, bitIndex0) | (~v90(constB28, bitIndex1)) | (~v90(constB28, bitIndex2)) | v125(constB28))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4697,plain,
% 33.24/21.85 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB28, bitIndex0) | (~v90(constB28, bitIndex1)) | (~v90(constB28, bitIndex2)) | v125(constB28)),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4696, 4695])).
% 33.24/21.85 tff(4698,plain,
% 33.24/21.85 (v90(constB28, bitIndex0) | (~v90(constB28, bitIndex1)) | (~v90(constB28, bitIndex2))),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4697, 2321, 4653])).
% 33.24/21.85 tff(4699,plain,
% 33.24/21.85 ($false),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4698, 4694, 4672, 4671])).
% 33.24/21.85 tff(4700,plain,((~v124(constB27)) | v125(constB28) | v129(constB28, bitIndex0) | v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 33.24/21.85 tff(4701,plain,
% 33.24/21.85 (~v124(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4700, 4574, 4653, 4562])).
% 33.24/21.85 tff(4702,plain,
% 33.24/21.85 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v122(constB27) | v120(constB27) | v121(constB27) | v123(constB27) | v124(constB27) | v119(constB27) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v122(constB27) | v120(constB27) | v121(constB27) | v123(constB27) | v124(constB27) | v119(constB27) | v130(constB27, bitIndex0))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4703,plain,
% 33.24/21.85 ((v120(constB27) | v119(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, bitIndex0)) <=> (v122(constB27) | v120(constB27) | v121(constB27) | v123(constB27) | v124(constB27) | v119(constB27) | v130(constB27, bitIndex0))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4704,plain,
% 33.24/21.85 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB27) | v119(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v122(constB27) | v120(constB27) | v121(constB27) | v123(constB27) | v124(constB27) | v119(constB27) | v130(constB27, bitIndex0)))),
% 33.24/21.85 inference(monotonicity,[status(thm)],[4703])).
% 33.24/21.85 tff(4705,plain,
% 33.24/21.85 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB27) | v119(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v122(constB27) | v120(constB27) | v121(constB27) | v123(constB27) | v124(constB27) | v119(constB27) | v130(constB27, bitIndex0))),
% 33.24/21.85 inference(transitivity,[status(thm)],[4704, 4702])).
% 33.24/21.85 tff(4706,plain,
% 33.24/21.85 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB27) | v119(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, bitIndex0))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4707,plain,
% 33.24/21.85 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v122(constB27) | v120(constB27) | v121(constB27) | v123(constB27) | v124(constB27) | v119(constB27) | v130(constB27, bitIndex0)),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4706, 4705])).
% 33.24/21.85 tff(4708,plain,
% 33.24/21.85 (v122(constB27) | v120(constB27) | v121(constB27) | v123(constB27) | v124(constB27) | v119(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4707, 2495, 4568])).
% 33.24/21.85 tff(4709,plain,
% 33.24/21.85 (v120(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4708, 4701, 4652, 4648, 4644, 4572])).
% 33.24/21.85 tff(4710,plain,
% 33.24/21.85 (v118(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4390, 936, 4709])).
% 33.24/21.85 tff(4711,plain,
% 33.24/21.85 (v117(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4394, 498, 4710])).
% 33.24/21.85 tff(4712,plain,
% 33.24/21.85 (v116(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4398, 509, 4711])).
% 33.24/21.85 tff(4713,plain,
% 33.24/21.85 (v115(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4402, 520, 4712])).
% 33.24/21.85 tff(4714,plain,
% 33.24/21.85 (v114(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4406, 531, 4713])).
% 33.24/21.85 tff(4715,plain,
% 33.24/21.85 (v113(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4410, 542, 4714])).
% 33.24/21.85 tff(4716,plain,
% 33.24/21.85 (v112(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4583, 4715])).
% 33.24/21.85 tff(4717,plain,
% 33.24/21.85 (v108(constB27)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4423, 568, 4716])).
% 33.24/21.85 tff(4718,plain,
% 33.24/21.85 (v110(constB28)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4434, 4717])).
% 33.24/21.85 tff(4719,plain,
% 33.24/21.85 (v100(constB28)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4466, 4718])).
% 33.24/21.85 tff(4720,plain,
% 33.24/21.85 (~v130(constB27, bitIndex2)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4503, 1025, 4709])).
% 33.24/21.85 tff(4721,plain,
% 33.24/21.85 ((~v127(constB27, bitIndex2)) | v130(constB27, bitIndex2)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4510, 689, 4562])).
% 33.24/21.85 tff(4722,plain,
% 33.24/21.85 (~v127(constB27, bitIndex2)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4721, 4720])).
% 33.24/21.85 tff(4723,plain,
% 33.24/21.85 (~v129(constB28, bitIndex2)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4516, 4722])).
% 33.24/21.85 tff(4724,plain,
% 33.24/21.85 ((~v90(constB28, bitIndex2)) | (~v100(constB28))),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4523, 722, 4723])).
% 33.24/21.85 tff(4725,plain,
% 33.24/21.85 (~v90(constB28, bitIndex2)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4724, 4719])).
% 33.24/21.85 tff(4726,plain,
% 33.24/21.85 ((~v90(constB28, bitIndex0)) | (~v100(constB28))),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4498, 1215, 4574])).
% 33.24/21.85 tff(4727,plain,
% 33.24/21.85 (~v90(constB28, bitIndex0)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4726, 4719])).
% 33.24/21.85 tff(4728,plain,
% 33.24/21.85 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4729,plain,
% 33.24/21.85 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4730,plain,
% 33.24/21.85 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1)),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4729, 4728])).
% 33.24/21.85 tff(4731,plain,
% 33.24/21.85 (v130(constB27, bitIndex1)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4730, 1087, 4709])).
% 33.24/21.85 tff(4732,plain,
% 33.24/21.85 (v127(constB27, bitIndex1)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4680, 4731])).
% 33.24/21.85 tff(4733,plain,
% 33.24/21.85 (v129(constB28, bitIndex1)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4685, 4732])).
% 33.24/21.85 tff(4734,plain,
% 33.24/21.85 (v90(constB28, bitIndex1) | (~v100(constB28))),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4692, 1131, 4733])).
% 33.24/21.85 tff(4735,plain,
% 33.24/21.85 (v90(constB28, bitIndex1)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4734, 4719])).
% 33.24/21.85 tff(4736,assumption,(~v121(constB28)), introduced(assumption)).
% 33.24/21.85 tff(4737,plain,
% 33.24/21.85 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB28, bitIndex0) | (~v90(constB28, bitIndex1)) | v90(constB28, bitIndex2) | v121(constB28))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB28, bitIndex0) | (~v90(constB28, bitIndex1)) | v90(constB28, bitIndex2) | v121(constB28))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4738,plain,
% 33.24/21.85 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB28, bitIndex0) | (~v90(constB28, bitIndex1)) | v90(constB28, bitIndex2) | v121(constB28))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4739,plain,
% 33.24/21.85 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB28, bitIndex0) | (~v90(constB28, bitIndex1)) | v90(constB28, bitIndex2) | v121(constB28)),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4738, 4737])).
% 33.24/21.85 tff(4740,plain,
% 33.24/21.85 (v90(constB28, bitIndex0) | (~v90(constB28, bitIndex1)) | v90(constB28, bitIndex2)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4739, 1242, 4736])).
% 33.24/21.85 tff(4741,plain,
% 33.24/21.85 ($false),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4740, 4735, 4727, 4725])).
% 33.24/21.85 tff(4742,plain,(v127(constB27, bitIndex0) | v121(constB28) | v26(constB27) | v125(constB28) | v123(constB28)), inference(lemma,lemma(discharge,[]))).
% 33.24/21.85 tff(4743,plain,
% 33.24/21.85 (v127(constB27, bitIndex0)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4742, 4562, 4561, 4550, 4539])).
% 33.24/21.85 tff(4744,plain,
% 33.24/21.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex0)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex0)) | v129(constB28, bitIndex0))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4745,plain,
% 33.24/21.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex0)) | v129(constB28, bitIndex0))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4746,plain,
% 33.24/21.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex0)) | v129(constB28, bitIndex0)),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4745, 4744])).
% 33.24/21.85 tff(4747,plain,
% 33.24/21.85 ((~v127(constB27, bitIndex0)) | v129(constB28, bitIndex0)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4746, 870, 4427])).
% 33.24/21.85 tff(4748,plain,
% 33.24/21.85 (v129(constB28, bitIndex0)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4747, 4743])).
% 33.24/21.85 tff(4749,plain,
% 33.24/21.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28)))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4750,plain,
% 33.24/21.85 ((v90(constB28, bitIndex0) | (~v100(constB28)) | (~v129(constB28, bitIndex0))) <=> (v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28)))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4751,plain,
% 33.24/21.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~v100(constB28)) | (~v129(constB28, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28))))),
% 33.24/21.85 inference(monotonicity,[status(thm)],[4750])).
% 33.24/21.85 tff(4752,plain,
% 33.24/21.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~v100(constB28)) | (~v129(constB28, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28)))),
% 33.24/21.85 inference(transitivity,[status(thm)],[4751, 4749])).
% 33.24/21.85 tff(4753,plain,
% 33.24/21.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~v100(constB28)) | (~v129(constB28, bitIndex0)))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4754,plain,
% 33.24/21.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28))),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4753, 4752])).
% 33.24/21.85 tff(4755,plain,
% 33.24/21.85 ((~v129(constB28, bitIndex0)) | (~v100(constB28))),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4754, 885, 4527])).
% 33.24/21.85 tff(4756,plain,
% 33.24/21.85 (~v100(constB28)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4755, 4748])).
% 33.24/21.85 tff(4757,plain,
% 33.24/21.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4758,plain,
% 33.24/21.85 (((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2)) <=> ((~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4759,plain,
% 33.24/21.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2)))),
% 33.24/21.85 inference(monotonicity,[status(thm)],[4758])).
% 33.24/21.85 tff(4760,plain,
% 33.24/21.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))),
% 33.24/21.85 inference(transitivity,[status(thm)],[4759, 4757])).
% 33.24/21.85 tff(4761,plain,
% 33.24/21.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2))),
% 33.24/21.85 inference(quant_inst,[status(thm)],[])).
% 33.24/21.85 tff(4762,plain,
% 33.24/21.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2)),
% 33.24/21.85 inference(modus_ponens,[status(thm)],[4761, 4760])).
% 33.24/21.85 tff(4763,plain,
% 33.24/21.85 ((~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4762, 1658, 4427])).
% 33.24/21.85 tff(4764,plain,
% 33.24/21.85 (~v90(constB27, bitIndex2)),
% 33.24/21.85 inference(unit_resolution,[status(thm)],[4763, 4756, 4526])).
% 33.24/21.85 tff(4765,plain,
% 33.24/21.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4766,plain,
% 33.24/21.85 (((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1)) <=> ((~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))),
% 33.24/21.85 inference(rewrite,[status(thm)],[])).
% 33.24/21.85 tff(4767,plain,
% 33.24/21.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1)))),
% 33.24/21.86 inference(monotonicity,[status(thm)],[4766])).
% 33.24/21.86 tff(4768,plain,
% 33.24/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))),
% 33.24/21.86 inference(transitivity,[status(thm)],[4767, 4765])).
% 33.24/21.86 tff(4769,plain,
% 33.24/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1))),
% 33.24/21.86 inference(quant_inst,[status(thm)],[])).
% 33.24/21.86 tff(4770,plain,
% 33.24/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1)),
% 33.24/21.86 inference(modus_ponens,[status(thm)],[4769, 4768])).
% 33.24/21.86 tff(4771,plain,
% 33.24/21.86 ((~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4770, 1149, 4427])).
% 33.24/21.86 tff(4772,plain,
% 33.24/21.86 (~v90(constB27, bitIndex1)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4771, 4756, 4528])).
% 33.24/21.86 tff(4773,plain,
% 33.24/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))),
% 33.24/21.86 inference(rewrite,[status(thm)],[])).
% 33.24/21.86 tff(4774,plain,
% 33.24/21.86 (((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0)) <=> ((~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))),
% 33.24/21.86 inference(rewrite,[status(thm)],[])).
% 33.24/21.86 tff(4775,plain,
% 33.24/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0)))),
% 33.24/21.86 inference(monotonicity,[status(thm)],[4774])).
% 33.24/21.86 tff(4776,plain,
% 33.24/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))),
% 33.24/21.86 inference(transitivity,[status(thm)],[4775, 4773])).
% 33.24/21.86 tff(4777,plain,
% 33.24/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0))),
% 33.24/21.86 inference(quant_inst,[status(thm)],[])).
% 33.24/21.86 tff(4778,plain,
% 33.24/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0)),
% 33.24/21.86 inference(modus_ponens,[status(thm)],[4777, 4776])).
% 33.24/21.86 tff(4779,plain,
% 33.24/21.86 ((~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4778, 903, 4427])).
% 33.24/21.86 tff(4780,plain,
% 33.24/21.86 (~v90(constB27, bitIndex0)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4779, 4756, 4527])).
% 33.24/21.86 tff(4781,plain,
% 33.24/21.86 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB27) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB27) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))),
% 33.24/21.86 inference(rewrite,[status(thm)],[])).
% 33.24/21.86 tff(4782,plain,
% 33.24/21.86 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB27) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))),
% 33.24/21.86 inference(quant_inst,[status(thm)],[])).
% 33.24/21.86 tff(4783,plain,
% 33.24/21.86 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB27) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)),
% 33.24/21.86 inference(modus_ponens,[status(thm)],[4782, 4781])).
% 33.24/21.86 tff(4784,plain,
% 33.24/21.86 (v119(constB27)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4783, 476, 4780, 4772, 4764])).
% 33.24/21.86 tff(4785,plain,
% 33.24/21.86 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB27) | (~v119(constB27)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB27) | (~v119(constB27)))),
% 33.24/21.86 inference(rewrite,[status(thm)],[])).
% 33.24/21.86 tff(4786,plain,
% 33.24/21.86 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB27) | (~v119(constB27)))),
% 33.24/21.86 inference(quant_inst,[status(thm)],[])).
% 33.24/21.86 tff(4787,plain,
% 33.24/21.86 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB27) | (~v119(constB27))),
% 33.24/21.86 inference(modus_ponens,[status(thm)],[4786, 4785])).
% 33.24/21.86 tff(4788,plain,
% 33.24/21.86 (v118(constB27)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4787, 487, 4784])).
% 33.24/21.86 tff(4789,plain,
% 33.24/21.86 (v117(constB27)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4394, 498, 4788])).
% 33.24/21.86 tff(4790,plain,
% 33.24/21.86 (v116(constB27)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4398, 509, 4789])).
% 33.24/21.86 tff(4791,plain,
% 33.24/21.86 (~v110(constB28)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4466, 4756])).
% 33.24/21.86 tff(4792,plain,
% 33.24/21.86 (~v108(constB27)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4434, 4791])).
% 33.24/21.86 tff(4793,plain,
% 33.24/21.86 (~v112(constB27)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4423, 568, 4792])).
% 33.24/21.86 tff(4794,plain,
% 33.24/21.86 (~v113(constB27)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4583, 4793])).
% 33.24/21.86 tff(4795,plain,
% 33.24/21.86 (~v114(constB27)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4410, 542, 4794])).
% 33.24/21.86 tff(4796,plain,
% 33.24/21.86 (~v115(constB27)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4406, 531, 4795])).
% 33.24/21.86 tff(4797,plain,
% 33.24/21.86 ($false),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4402, 520, 4796, 4790])).
% 33.24/21.86 tff(4798,plain,(v26(constB27) | v90(constB28, bitIndex1) | v90(constB28, bitIndex0) | v90(constB28, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 33.24/21.86 tff(4799,plain,
% 33.24/21.86 (v90(constB28, bitIndex1)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4798, 4527, 4415, 4526])).
% 33.24/21.86 tff(4800,plain,
% 33.24/21.86 ((~v1(constB29)) <=> (~v1(constB29))),
% 33.24/21.86 inference(rewrite,[status(thm)],[])).
% 33.24/21.86 tff(4801,axiom,(~v1(constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 33.24/21.86 tff(4802,plain,
% 33.24/21.86 (~v1(constB29)),
% 33.24/21.86 inference(modus_ponens,[status(thm)],[4801, 4800])).
% 33.24/21.86 tff(4803,plain,
% 33.24/21.86 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 33.24/21.86 inference(rewrite,[status(thm)],[])).
% 33.24/21.86 tff(4804,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 33.24/21.86 tff(4805,plain,
% 33.24/21.86 (nextState(constB28, constB29)),
% 33.24/21.86 inference(modus_ponens,[status(thm)],[4804, 4803])).
% 33.24/21.86 tff(4806,plain,
% 33.24/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 33.24/21.86 inference(rewrite,[status(thm)],[])).
% 33.24/21.86 tff(4807,plain,
% 33.24/21.86 (((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 33.24/21.86 inference(rewrite,[status(thm)],[])).
% 33.24/21.86 tff(4808,plain,
% 33.24/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))))),
% 33.24/21.86 inference(monotonicity,[status(thm)],[4807])).
% 33.24/21.86 tff(4809,plain,
% 33.24/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 33.24/21.86 inference(transitivity,[status(thm)],[4808, 4806])).
% 33.24/21.86 tff(4810,plain,
% 33.24/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))),
% 33.24/21.86 inference(quant_inst,[status(thm)],[])).
% 33.24/21.86 tff(4811,plain,
% 33.24/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))),
% 33.24/21.86 inference(modus_ponens,[status(thm)],[4810, 4809])).
% 33.24/21.86 tff(4812,plain,
% 33.24/21.86 (~v101(constB29)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4811, 381, 4805, 4802])).
% 33.24/21.86 tff(4813,plain,
% 33.24/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 33.24/21.86 inference(rewrite,[status(thm)],[])).
% 33.24/21.86 tff(4814,plain,
% 33.24/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 33.24/21.86 inference(quant_inst,[status(thm)],[])).
% 33.24/21.86 tff(4815,plain,
% 33.24/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29))),
% 33.24/21.86 inference(modus_ponens,[status(thm)],[4814, 4813])).
% 33.24/21.86 tff(4816,plain,
% 33.24/21.86 (v101(constB29) | (~v100(constB29))),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4815, 398, 4805])).
% 33.24/21.86 tff(4817,plain,
% 33.24/21.86 (~v100(constB29)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4816, 4812])).
% 33.24/21.86 tff(4818,plain,
% 33.24/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 33.24/21.86 inference(rewrite,[status(thm)],[])).
% 33.24/21.86 tff(4819,plain,
% 33.24/21.86 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))) <=> (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 33.24/21.86 inference(rewrite,[status(thm)],[])).
% 33.24/21.86 tff(4820,plain,
% 33.24/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2))))),
% 33.24/21.86 inference(monotonicity,[status(thm)],[4819])).
% 33.24/21.86 tff(4821,plain,
% 33.24/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 33.24/21.86 inference(transitivity,[status(thm)],[4820, 4818])).
% 33.24/21.86 tff(4822,plain,
% 33.24/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 33.24/21.86 inference(quant_inst,[status(thm)],[])).
% 33.24/21.86 tff(4823,plain,
% 33.24/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 33.24/21.86 inference(modus_ponens,[status(thm)],[4822, 4821])).
% 33.24/21.86 tff(4824,plain,
% 33.24/21.86 (v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4823, 413, 4805])).
% 33.24/21.86 tff(4825,plain,
% 33.24/21.86 (v90(constB28, bitIndex2) | (~v90(constB29, bitIndex2))),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4824, 4817])).
% 33.24/21.86 tff(4826,plain,
% 33.24/21.86 (~v90(constB29, bitIndex2)),
% 33.24/21.86 inference(unit_resolution,[status(thm)],[4825, 4526])).
% 33.24/21.86 tff(4827,plain,
% 33.24/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 33.24/21.86 inference(rewrite,[status(thm)],[])).
% 33.24/21.86 tff(4828,plain,
% 33.24/21.86 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))) <=> (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 33.24/21.86 inference(rewrite,[status(thm)],[])).
% 33.24/21.86 tff(4829,plain,
% 33.24/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0))))),
% 33.24/21.86 inference(monotonicity,[status(thm)],[4828])).
% 33.24/21.86 tff(4830,plain,
% 33.24/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 33.27/21.86 inference(transitivity,[status(thm)],[4829, 4827])).
% 33.27/21.86 tff(4831,plain,
% 33.27/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 33.27/21.86 inference(quant_inst,[status(thm)],[])).
% 33.27/21.86 tff(4832,plain,
% 33.27/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 33.27/21.86 inference(modus_ponens,[status(thm)],[4831, 4830])).
% 33.27/21.86 tff(4833,plain,
% 33.27/21.86 (v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4832, 455, 4805])).
% 33.27/21.86 tff(4834,plain,
% 33.27/21.86 (v90(constB28, bitIndex0) | (~v90(constB29, bitIndex0))),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4833, 4817])).
% 33.27/21.86 tff(4835,plain,
% 33.27/21.86 (~v90(constB29, bitIndex0)),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4834, 4527])).
% 33.27/21.86 tff(4836,assumption,(~v121(constB29)), introduced(assumption)).
% 33.27/21.86 tff(4837,plain,
% 33.27/21.86 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4838,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 33.27/21.86 inference(quant_inst,[status(thm)],[])).
% 33.27/21.86 tff(4839,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29)),
% 33.27/21.86 inference(modus_ponens,[status(thm)],[4838, 4837])).
% 33.27/21.86 tff(4840,plain,
% 33.27/21.86 (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2)),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4839, 1242, 4836])).
% 33.27/21.86 tff(4841,plain,
% 33.27/21.86 (~v90(constB29, bitIndex1)),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4840, 4835, 4826])).
% 33.27/21.86 tff(4842,plain,
% 33.27/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4843,plain,
% 33.27/21.86 (((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)) <=> ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4844,plain,
% 33.27/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1)))),
% 33.27/21.86 inference(monotonicity,[status(thm)],[4843])).
% 33.27/21.86 tff(4845,plain,
% 33.27/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 33.27/21.86 inference(transitivity,[status(thm)],[4844, 4842])).
% 33.27/21.86 tff(4846,plain,
% 33.27/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))),
% 33.27/21.86 inference(quant_inst,[status(thm)],[])).
% 33.27/21.86 tff(4847,plain,
% 33.27/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1)),
% 33.27/21.86 inference(modus_ponens,[status(thm)],[4846, 4845])).
% 33.27/21.86 tff(4848,plain,
% 33.27/21.86 ((~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4847, 1149, 4805])).
% 33.27/21.86 tff(4849,plain,
% 33.27/21.86 ((~v90(constB28, bitIndex1)) | v90(constB29, bitIndex1)),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4848, 4817])).
% 33.27/21.86 tff(4850,plain,
% 33.27/21.86 ($false),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4849, 4841, 4799])).
% 33.27/21.86 tff(4851,plain,(v90(constB28, bitIndex0) | v121(constB29) | v90(constB28, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 33.27/21.86 tff(4852,plain,
% 33.27/21.86 (v121(constB29)),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4851, 4525, 4500])).
% 33.27/21.86 tff(4853,plain,
% 33.27/21.86 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB29) | (~v121(constB29)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB29) | (~v121(constB29)))),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4854,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB29) | (~v121(constB29)))),
% 33.27/21.86 inference(quant_inst,[status(thm)],[])).
% 33.27/21.86 tff(4855,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB29) | (~v121(constB29))),
% 33.27/21.86 inference(modus_ponens,[status(thm)],[4854, 4853])).
% 33.27/21.86 tff(4856,plain,
% 33.27/21.86 (v117(constB29)),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4855, 1253, 4852])).
% 33.27/21.86 tff(4857,plain,
% 33.27/21.86 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB29) | (~v117(constB29)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB29) | (~v117(constB29)))),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4858,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB29) | (~v117(constB29)))),
% 33.27/21.86 inference(quant_inst,[status(thm)],[])).
% 33.27/21.86 tff(4859,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB29) | (~v117(constB29))),
% 33.27/21.86 inference(modus_ponens,[status(thm)],[4858, 4857])).
% 33.27/21.86 tff(4860,plain,
% 33.27/21.86 (v116(constB29)),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4859, 509, 4856])).
% 33.27/21.86 tff(4861,plain,
% 33.27/21.86 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB29) | (~v116(constB29)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB29) | (~v116(constB29)))),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4862,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB29) | (~v116(constB29)))),
% 33.27/21.86 inference(quant_inst,[status(thm)],[])).
% 33.27/21.86 tff(4863,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB29) | (~v116(constB29))),
% 33.27/21.86 inference(modus_ponens,[status(thm)],[4862, 4861])).
% 33.27/21.86 tff(4864,plain,
% 33.27/21.86 (v115(constB29)),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4863, 520, 4860])).
% 33.27/21.86 tff(4865,plain,
% 33.27/21.86 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB29) | (~v115(constB29)))),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4866,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB29) | (~v115(constB29)))),
% 33.27/21.86 inference(quant_inst,[status(thm)],[])).
% 33.27/21.86 tff(4867,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB29) | (~v115(constB29))),
% 33.27/21.86 inference(modus_ponens,[status(thm)],[4866, 4865])).
% 33.27/21.86 tff(4868,plain,
% 33.27/21.86 (v114(constB29)),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4867, 531, 4864])).
% 33.27/21.86 tff(4869,plain,
% 33.27/21.86 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB29) | (~v114(constB29)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB29) | (~v114(constB29)))),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4870,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB29) | (~v114(constB29)))),
% 33.27/21.86 inference(quant_inst,[status(thm)],[])).
% 33.27/21.86 tff(4871,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB29) | (~v114(constB29))),
% 33.27/21.86 inference(modus_ponens,[status(thm)],[4870, 4869])).
% 33.27/21.86 tff(4872,plain,
% 33.27/21.86 (v113(constB29)),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4871, 542, 4868])).
% 33.27/21.86 tff(4873,assumption,(v26(constB29)), introduced(assumption)).
% 33.27/21.86 tff(4874,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB29))),
% 33.27/21.86 inference(quant_inst,[status(thm)],[])).
% 33.27/21.86 tff(4875,plain,
% 33.27/21.86 ($false),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4874, 120, 4873])).
% 33.27/21.86 tff(4876,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 33.27/21.86 tff(4877,plain,
% 33.27/21.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | v112(constB29) | (~v113(constB29)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4878,plain,
% 33.27/21.86 ((v26(constB29) | (~v113(constB29)) | v112(constB29)) <=> (v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4879,plain,
% 33.27/21.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | v112(constB29) | (~v113(constB29))))),
% 33.27/21.86 inference(monotonicity,[status(thm)],[4878])).
% 33.27/21.86 tff(4880,plain,
% 33.27/21.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 33.27/21.86 inference(transitivity,[status(thm)],[4879, 4877])).
% 33.27/21.86 tff(4881,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 33.27/21.86 inference(quant_inst,[status(thm)],[])).
% 33.27/21.86 tff(4882,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29))),
% 33.27/21.86 inference(modus_ponens,[status(thm)],[4881, 4880])).
% 33.27/21.86 tff(4883,plain,
% 33.27/21.86 (v112(constB29) | (~v113(constB29))),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4882, 556, 4876])).
% 33.27/21.86 tff(4884,plain,
% 33.27/21.86 (v112(constB29)),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4883, 4872])).
% 33.27/21.86 tff(4885,plain,
% 33.27/21.86 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB29) | (~v112(constB29)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB29) | (~v112(constB29)))),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4886,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB29) | (~v112(constB29)))),
% 33.27/21.86 inference(quant_inst,[status(thm)],[])).
% 33.27/21.86 tff(4887,plain,
% 33.27/21.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB29) | (~v112(constB29))),
% 33.27/21.86 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 33.27/21.86 tff(4888,plain,
% 33.27/21.86 (v108(constB29)),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4887, 568, 4884])).
% 33.27/21.86 tff(4889,plain,
% 33.27/21.86 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4890,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 33.27/21.86 tff(4891,plain,
% 33.27/21.86 (nextState(constB29, constB30)),
% 33.27/21.86 inference(modus_ponens,[status(thm)],[4890, 4889])).
% 33.27/21.86 tff(4892,plain,
% 33.27/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4893,plain,
% 33.27/21.86 (((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30)) <=> ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4894,plain,
% 33.27/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))))),
% 33.27/21.86 inference(monotonicity,[status(thm)],[4893])).
% 33.27/21.86 tff(4895,plain,
% 33.27/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 33.27/21.86 inference(transitivity,[status(thm)],[4894, 4892])).
% 33.27/21.86 tff(4896,plain,
% 33.27/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))),
% 33.27/21.86 inference(quant_inst,[status(thm)],[])).
% 33.27/21.86 tff(4897,plain,
% 33.27/21.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))),
% 33.27/21.86 inference(modus_ponens,[status(thm)],[4896, 4895])).
% 33.27/21.86 tff(4898,plain,
% 33.27/21.86 (v110(constB30) | (~v108(constB29))),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4897, 585, 4891])).
% 33.27/21.86 tff(4899,plain,
% 33.27/21.86 (v110(constB30)),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4898, 4888])).
% 33.27/21.86 tff(4900,plain,
% 33.27/21.86 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4901,plain,
% 33.27/21.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 33.27/21.86 inference(quant_inst,[status(thm)],[])).
% 33.27/21.86 tff(4902,plain,
% 33.27/21.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30))),
% 33.27/21.86 inference(modus_ponens,[status(thm)],[4901, 4900])).
% 33.27/21.86 tff(4903,plain,
% 33.27/21.86 (~v104(constB30)),
% 33.27/21.86 inference(unit_resolution,[status(thm)],[4902, 603, 4891, 4802])).
% 33.27/21.86 tff(4904,plain,
% 33.27/21.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))),
% 33.27/21.86 inference(rewrite,[status(thm)],[])).
% 33.27/21.86 tff(4905,plain,
% 33.27/21.86 (((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30)) <=> ((~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4906,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | v102(constB30)))),
% 33.27/21.87 inference(monotonicity,[status(thm)],[4905])).
% 33.27/21.87 tff(4907,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))),
% 33.27/21.87 inference(transitivity,[status(thm)],[4906, 4904])).
% 33.27/21.87 tff(4908,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 33.27/21.87 inference(quant_inst,[status(thm)],[])).
% 33.27/21.87 tff(4909,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | v102(constB30)),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4908, 4907])).
% 33.27/21.87 tff(4910,plain,
% 33.27/21.87 (v104(constB30) | v102(constB30)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4909, 617, 4891])).
% 33.27/21.87 tff(4911,plain,
% 33.27/21.87 (v102(constB30)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4910, 4903])).
% 33.27/21.87 tff(4912,plain,
% 33.27/21.87 (v1(constB30) <=> v1(constB30)),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4913,axiom,(v1(constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 33.27/21.87 tff(4914,plain,
% 33.27/21.87 (v1(constB30)),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4913, 4912])).
% 33.27/21.87 tff(4915,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4916,plain,
% 33.27/21.87 (((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30))) <=> ((~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4917,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30))))),
% 33.27/21.87 inference(monotonicity,[status(thm)],[4916])).
% 33.27/21.87 tff(4918,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))),
% 33.27/21.87 inference(transitivity,[status(thm)],[4917, 4915])).
% 33.27/21.87 tff(4919,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 33.27/21.87 inference(quant_inst,[status(thm)],[])).
% 33.27/21.87 tff(4920,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30))),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4919, 4918])).
% 33.27/21.87 tff(4921,plain,
% 33.27/21.87 (v101(constB30) | (~v102(constB30))),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4920, 638, 4891, 4914])).
% 33.27/21.87 tff(4922,plain,
% 33.27/21.87 (v101(constB30)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4921, 4911])).
% 33.27/21.87 tff(4923,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4924,plain,
% 33.27/21.87 (((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30)) <=> ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4925,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))))),
% 33.27/21.87 inference(monotonicity,[status(thm)],[4924])).
% 33.27/21.87 tff(4926,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 33.27/21.87 inference(transitivity,[status(thm)],[4925, 4923])).
% 33.27/21.87 tff(4927,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))),
% 33.27/21.87 inference(quant_inst,[status(thm)],[])).
% 33.27/21.87 tff(4928,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4927, 4926])).
% 33.27/21.87 tff(4929,plain,
% 33.27/21.87 (v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4928, 656, 4891])).
% 33.27/21.87 tff(4930,plain,
% 33.27/21.87 (v100(constB30) | (~v110(constB30))),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4929, 4922])).
% 33.27/21.87 tff(4931,plain,
% 33.27/21.87 (v100(constB30)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4930, 4899])).
% 33.27/21.87 tff(4932,plain,
% 33.27/21.87 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4933,plain,
% 33.27/21.87 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 33.27/21.87 inference(quant_inst,[status(thm)],[])).
% 33.27/21.87 tff(4934,plain,
% 33.27/21.87 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2))),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4933, 4932])).
% 33.27/21.87 tff(4935,plain,
% 33.27/21.87 (~v130(constB29, bitIndex2)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4934, 1342, 4852])).
% 33.27/21.87 tff(4936,plain,
% 33.27/21.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4937,plain,
% 33.27/21.87 ((v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2))) <=> ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4938,plain,
% 33.27/21.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)))),
% 33.27/21.87 inference(monotonicity,[status(thm)],[4937])).
% 33.27/21.87 tff(4939,plain,
% 33.27/21.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 33.27/21.87 inference(transitivity,[status(thm)],[4938, 4936])).
% 33.27/21.87 tff(4940,plain,
% 33.27/21.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))),
% 33.27/21.87 inference(quant_inst,[status(thm)],[])).
% 33.27/21.87 tff(4941,plain,
% 33.27/21.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4940, 4939])).
% 33.27/21.87 tff(4942,plain,
% 33.27/21.87 ((~v127(constB29, bitIndex2)) | v130(constB29, bitIndex2)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4941, 689, 4876])).
% 33.27/21.87 tff(4943,plain,
% 33.27/21.87 (~v127(constB29, bitIndex2)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4942, 4935])).
% 33.27/21.87 tff(4944,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4945,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 33.27/21.87 inference(quant_inst,[status(thm)],[])).
% 33.27/21.87 tff(4946,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4945, 4944])).
% 33.27/21.87 tff(4947,plain,
% 33.27/21.87 (v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4946, 707, 4891])).
% 33.27/21.87 tff(4948,plain,
% 33.27/21.87 (~v129(constB30, bitIndex2)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4947, 4943])).
% 33.27/21.87 tff(4949,plain,
% 33.27/21.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4950,plain,
% 33.27/21.87 (((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2)) <=> ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4951,plain,
% 33.27/21.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30))))),
% 33.27/21.87 inference(monotonicity,[status(thm)],[4950])).
% 33.27/21.87 tff(4952,plain,
% 33.27/21.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 33.27/21.87 inference(transitivity,[status(thm)],[4951, 4949])).
% 33.27/21.87 tff(4953,plain,
% 33.27/21.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2))),
% 33.27/21.87 inference(quant_inst,[status(thm)],[])).
% 33.27/21.87 tff(4954,plain,
% 33.27/21.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30))),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4953, 4952])).
% 33.27/21.87 tff(4955,plain,
% 33.27/21.87 ((~v90(constB30, bitIndex2)) | (~v100(constB30))),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4954, 722, 4948])).
% 33.27/21.87 tff(4956,plain,
% 33.27/21.87 (~v90(constB30, bitIndex2)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4955, 4931])).
% 33.27/21.87 tff(4957,plain,
% 33.27/21.87 ((~v1(constB31)) <=> (~v1(constB31))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4958,axiom,(~v1(constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 33.27/21.87 tff(4959,plain,
% 33.27/21.87 (~v1(constB31)),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4958, 4957])).
% 33.27/21.87 tff(4960,plain,
% 33.27/21.87 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4961,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 33.27/21.87 tff(4962,plain,
% 33.27/21.87 (nextState(constB30, constB31)),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4961, 4960])).
% 33.27/21.87 tff(4963,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4964,plain,
% 33.27/21.87 (((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4965,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))))),
% 33.27/21.87 inference(monotonicity,[status(thm)],[4964])).
% 33.27/21.87 tff(4966,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 33.27/21.87 inference(transitivity,[status(thm)],[4965, 4963])).
% 33.27/21.87 tff(4967,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))),
% 33.27/21.87 inference(quant_inst,[status(thm)],[])).
% 33.27/21.87 tff(4968,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4967, 4966])).
% 33.27/21.87 tff(4969,plain,
% 33.27/21.87 (~v101(constB31)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4968, 381, 4962, 4959])).
% 33.27/21.87 tff(4970,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4971,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 33.27/21.87 inference(quant_inst,[status(thm)],[])).
% 33.27/21.87 tff(4972,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31))),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4971, 4970])).
% 33.27/21.87 tff(4973,plain,
% 33.27/21.87 (v101(constB31) | (~v100(constB31))),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4972, 398, 4962])).
% 33.27/21.87 tff(4974,plain,
% 33.27/21.87 (~v100(constB31)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4973, 4969])).
% 33.27/21.87 tff(4975,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4976,plain,
% 33.27/21.87 (((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))) <=> (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4977,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2))))),
% 33.27/21.87 inference(monotonicity,[status(thm)],[4976])).
% 33.27/21.87 tff(4978,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 33.27/21.87 inference(transitivity,[status(thm)],[4977, 4975])).
% 33.27/21.87 tff(4979,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 33.27/21.87 inference(quant_inst,[status(thm)],[])).
% 33.27/21.87 tff(4980,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4979, 4978])).
% 33.27/21.87 tff(4981,plain,
% 33.27/21.87 (v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4980, 413, 4962])).
% 33.27/21.87 tff(4982,plain,
% 33.27/21.87 (v90(constB30, bitIndex2) | (~v90(constB31, bitIndex2))),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4981, 4974])).
% 33.27/21.87 tff(4983,plain,
% 33.27/21.87 (~v90(constB31, bitIndex2)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4982, 4956])).
% 33.27/21.87 tff(4984,plain,
% 33.27/21.87 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4985,plain,
% 33.27/21.87 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))),
% 33.27/21.87 inference(quant_inst,[status(thm)],[])).
% 33.27/21.87 tff(4986,plain,
% 33.27/21.87 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1)),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 33.27/21.87 tff(4987,plain,
% 33.27/21.87 (v130(constB29, bitIndex1)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4986, 1404, 4852])).
% 33.27/21.87 tff(4988,plain,
% 33.27/21.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4989,plain,
% 33.27/21.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 33.27/21.87 inference(quant_inst,[status(thm)],[])).
% 33.27/21.87 tff(4990,plain,
% 33.27/21.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4989, 4988])).
% 33.27/21.87 tff(4991,plain,
% 33.27/21.87 ((~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4990, 1101, 4876])).
% 33.27/21.87 tff(4992,plain,
% 33.27/21.87 (v127(constB29, bitIndex1)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4991, 4987])).
% 33.27/21.87 tff(4993,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4994,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 33.27/21.87 inference(quant_inst,[status(thm)],[])).
% 33.27/21.87 tff(4995,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[4994, 4993])).
% 33.27/21.87 tff(4996,plain,
% 33.27/21.87 ((~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4995, 1116, 4891])).
% 33.27/21.87 tff(4997,plain,
% 33.27/21.87 (v129(constB30, bitIndex1)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[4996, 4992])).
% 33.27/21.87 tff(4998,plain,
% 33.27/21.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(4999,plain,
% 33.27/21.87 ((v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1))) <=> (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(5000,plain,
% 33.27/21.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))))),
% 33.27/21.87 inference(monotonicity,[status(thm)],[4999])).
% 33.27/21.87 tff(5001,plain,
% 33.27/21.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 33.27/21.87 inference(transitivity,[status(thm)],[5000, 4998])).
% 33.27/21.87 tff(5002,plain,
% 33.27/21.87 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))),
% 33.27/21.87 inference(quant_inst,[status(thm)],[])).
% 33.27/21.87 tff(5003,plain,
% 33.27/21.87 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))),
% 33.27/21.87 inference(modus_ponens,[status(thm)],[5002, 5001])).
% 33.27/21.87 tff(5004,plain,
% 33.27/21.87 (v90(constB30, bitIndex1) | (~v100(constB30))),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[5003, 1131, 4997])).
% 33.27/21.87 tff(5005,plain,
% 33.27/21.87 (v90(constB30, bitIndex1)),
% 33.27/21.87 inference(unit_resolution,[status(thm)],[5004, 4931])).
% 33.27/21.87 tff(5006,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(5007,plain,
% 33.27/21.87 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)) <=> ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 33.27/21.87 inference(rewrite,[status(thm)],[])).
% 33.27/21.87 tff(5008,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1)))),
% 33.27/21.87 inference(monotonicity,[status(thm)],[5007])).
% 33.27/21.87 tff(5009,plain,
% 33.27/21.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 33.27/21.87 inference(transitivity,[status(thm)],[5008, 5006])).
% 33.27/21.87 tff(5010,plain,
% 33.27/21.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5011,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1)),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 33.27/21.88 tff(5012,plain,
% 33.27/21.88 ((~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5011, 1149, 4962])).
% 33.27/21.88 tff(5013,plain,
% 33.27/21.88 ((~v90(constB30, bitIndex1)) | v90(constB31, bitIndex1)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5012, 4974])).
% 33.27/21.88 tff(5014,plain,
% 33.27/21.88 (v90(constB31, bitIndex1)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5013, 5005])).
% 33.27/21.88 tff(5015,plain,
% 33.27/21.88 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5016,plain,
% 33.27/21.88 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5017,plain,
% 33.27/21.88 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0)),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5016, 5015])).
% 33.27/21.88 tff(5018,plain,
% 33.27/21.88 (v130(constB29, bitIndex0)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5017, 1445, 4852])).
% 33.27/21.88 tff(5019,plain,
% 33.27/21.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5020,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5021,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5020, 5019])).
% 33.27/21.88 tff(5022,plain,
% 33.27/21.88 ((~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5021, 855, 4876])).
% 33.27/21.88 tff(5023,plain,
% 33.27/21.88 (v127(constB29, bitIndex0)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5022, 5018])).
% 33.27/21.88 tff(5024,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5025,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5026,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5025, 5024])).
% 33.27/21.88 tff(5027,plain,
% 33.27/21.88 ((~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5026, 870, 4891])).
% 33.27/21.88 tff(5028,plain,
% 33.27/21.88 (v129(constB30, bitIndex0)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5027, 5023])).
% 33.27/21.88 tff(5029,plain,
% 33.27/21.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5030,plain,
% 33.27/21.88 ((v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0))) <=> (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5031,plain,
% 33.27/21.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))))),
% 33.27/21.88 inference(monotonicity,[status(thm)],[5030])).
% 33.27/21.88 tff(5032,plain,
% 33.27/21.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 33.27/21.88 inference(transitivity,[status(thm)],[5031, 5029])).
% 33.27/21.88 tff(5033,plain,
% 33.27/21.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5034,plain,
% 33.27/21.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5033, 5032])).
% 33.27/21.88 tff(5035,plain,
% 33.27/21.88 (v90(constB30, bitIndex0) | (~v100(constB30))),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5034, 885, 5028])).
% 33.27/21.88 tff(5036,plain,
% 33.27/21.88 (v90(constB30, bitIndex0)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5035, 4931])).
% 33.27/21.88 tff(5037,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5038,plain,
% 33.27/21.88 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)) <=> ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5039,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0)))),
% 33.27/21.88 inference(monotonicity,[status(thm)],[5038])).
% 33.27/21.88 tff(5040,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 33.27/21.88 inference(transitivity,[status(thm)],[5039, 5037])).
% 33.27/21.88 tff(5041,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5042,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0)),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5041, 5040])).
% 33.27/21.88 tff(5043,plain,
% 33.27/21.88 ((~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5042, 903, 4962])).
% 33.27/21.88 tff(5044,plain,
% 33.27/21.88 ((~v90(constB30, bitIndex0)) | v90(constB31, bitIndex0)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5043, 4974])).
% 33.27/21.88 tff(5045,plain,
% 33.27/21.88 (v90(constB31, bitIndex0)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5044, 5036])).
% 33.27/21.88 tff(5046,plain,
% 33.27/21.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5047,plain,
% 33.27/21.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5048,plain,
% 33.27/21.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31)),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5047, 5046])).
% 33.27/21.88 tff(5049,plain,
% 33.27/21.88 (v122(constB31)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5048, 1486, 5045, 5014, 4983])).
% 33.27/21.88 tff(5050,plain,
% 33.27/21.88 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5051,plain,
% 33.27/21.88 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5052,plain,
% 33.27/21.88 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1))),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5051, 5050])).
% 33.27/21.88 tff(5053,plain,
% 33.27/21.88 (~v130(constB31, bitIndex1)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5052, 1677, 5049])).
% 33.27/21.88 tff(5054,assumption,(v26(constB31)), introduced(assumption)).
% 33.27/21.88 tff(5055,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB31))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5056,plain,
% 33.27/21.88 ($false),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5055, 120, 5054])).
% 33.27/21.88 tff(5057,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 33.27/21.88 tff(5058,plain,
% 33.27/21.88 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5059,plain,
% 33.27/21.88 ((v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1))) <=> ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5060,plain,
% 33.27/21.88 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)))),
% 33.27/21.88 inference(monotonicity,[status(thm)],[5059])).
% 33.27/21.88 tff(5061,plain,
% 33.27/21.88 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 33.27/21.88 inference(transitivity,[status(thm)],[5060, 5058])).
% 33.27/21.88 tff(5062,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5063,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5062, 5061])).
% 33.27/21.88 tff(5064,plain,
% 33.27/21.88 ((~v127(constB31, bitIndex1)) | v130(constB31, bitIndex1)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5063, 781, 5057])).
% 33.27/21.88 tff(5065,plain,
% 33.27/21.88 (~v127(constB31, bitIndex1)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5064, 5053])).
% 33.27/21.88 tff(5066,plain,
% 33.27/21.88 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5067,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 33.27/21.88 tff(5068,plain,
% 33.27/21.88 (nextState(constB31, constB32)),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5067, 5066])).
% 33.27/21.88 tff(5069,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5070,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5071,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5070, 5069])).
% 33.27/21.88 tff(5072,plain,
% 33.27/21.88 (v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5071, 799, 5068])).
% 33.27/21.88 tff(5073,plain,
% 33.27/21.88 (~v129(constB32, bitIndex1)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5072, 5065])).
% 33.27/21.88 tff(5074,assumption,(v122(constB31)), introduced(assumption)).
% 33.27/21.88 tff(5075,plain,
% 33.27/21.88 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB31) | (~v122(constB31)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB31) | (~v122(constB31)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5076,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB31) | (~v122(constB31)))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5077,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB31) | (~v122(constB31))),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5076, 5075])).
% 33.27/21.88 tff(5078,plain,
% 33.27/21.88 (v116(constB31)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5077, 1497, 5074])).
% 33.27/21.88 tff(5079,plain,
% 33.27/21.88 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB31) | (~v116(constB31)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB31) | (~v116(constB31)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5080,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB31) | (~v116(constB31)))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5081,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB31) | (~v116(constB31))),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5080, 5079])).
% 33.27/21.88 tff(5082,plain,
% 33.27/21.88 (v115(constB31)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5081, 520, 5078])).
% 33.27/21.88 tff(5083,plain,
% 33.27/21.88 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB31) | (~v115(constB31)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB31) | (~v115(constB31)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5084,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB31) | (~v115(constB31)))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5085,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB31) | (~v115(constB31))),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5084, 5083])).
% 33.27/21.88 tff(5086,plain,
% 33.27/21.88 (v114(constB31)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5085, 531, 5082])).
% 33.27/21.88 tff(5087,plain,
% 33.27/21.88 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB31) | (~v114(constB31)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB31) | (~v114(constB31)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5088,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB31) | (~v114(constB31)))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5089,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB31) | (~v114(constB31))),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 33.27/21.88 tff(5090,plain,
% 33.27/21.88 (v113(constB31)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5089, 542, 5086])).
% 33.27/21.88 tff(5091,assumption,(~v26(constB31)), introduced(assumption)).
% 33.27/21.88 tff(5092,plain,
% 33.27/21.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | v112(constB31) | (~v113(constB31)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5093,plain,
% 33.27/21.88 ((v26(constB31) | (~v113(constB31)) | v112(constB31)) <=> (v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5094,plain,
% 33.27/21.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | v112(constB31) | (~v113(constB31))))),
% 33.27/21.88 inference(monotonicity,[status(thm)],[5093])).
% 33.27/21.88 tff(5095,plain,
% 33.27/21.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 33.27/21.88 inference(transitivity,[status(thm)],[5094, 5092])).
% 33.27/21.88 tff(5096,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5097,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31))),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5096, 5095])).
% 33.27/21.88 tff(5098,plain,
% 33.27/21.88 (v112(constB31) | (~v113(constB31))),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5097, 556, 5091])).
% 33.27/21.88 tff(5099,plain,
% 33.27/21.88 (v112(constB31)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5098, 5090])).
% 33.27/21.88 tff(5100,plain,
% 33.27/21.88 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB31) | (~v112(constB31)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB31) | (~v112(constB31)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5101,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB31) | (~v112(constB31)))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5102,plain,
% 33.27/21.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB31) | (~v112(constB31))),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5101, 5100])).
% 33.27/21.88 tff(5103,plain,
% 33.27/21.88 (v108(constB31)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5102, 568, 5099])).
% 33.27/21.88 tff(5104,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5105,plain,
% 33.27/21.88 (((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32)) <=> ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5106,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))))),
% 33.27/21.88 inference(monotonicity,[status(thm)],[5105])).
% 33.27/21.88 tff(5107,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 33.27/21.88 inference(transitivity,[status(thm)],[5106, 5104])).
% 33.27/21.88 tff(5108,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5109,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5108, 5107])).
% 33.27/21.88 tff(5110,plain,
% 33.27/21.88 (v110(constB32) | (~v108(constB31))),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5109, 585, 5068])).
% 33.27/21.88 tff(5111,plain,
% 33.27/21.88 (v110(constB32)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5110, 5103])).
% 33.27/21.88 tff(5112,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5113,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5114,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32))),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5113, 5112])).
% 33.27/21.88 tff(5115,plain,
% 33.27/21.88 (~v104(constB32)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5114, 603, 5068, 4959])).
% 33.27/21.88 tff(5116,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5117,plain,
% 33.27/21.88 (((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32)) <=> ((~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5118,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | v102(constB32)))),
% 33.27/21.88 inference(monotonicity,[status(thm)],[5117])).
% 33.27/21.88 tff(5119,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))),
% 33.27/21.88 inference(transitivity,[status(thm)],[5118, 5116])).
% 33.27/21.88 tff(5120,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5121,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | v102(constB32)),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5120, 5119])).
% 33.27/21.88 tff(5122,plain,
% 33.27/21.88 (v104(constB32) | v102(constB32)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5121, 617, 5068])).
% 33.27/21.88 tff(5123,plain,
% 33.27/21.88 (v102(constB32)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5122, 5115])).
% 33.27/21.88 tff(5124,plain,
% 33.27/21.88 (v1(constB32) <=> v1(constB32)),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5125,axiom,(v1(constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 33.27/21.88 tff(5126,plain,
% 33.27/21.88 (v1(constB32)),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5125, 5124])).
% 33.27/21.88 tff(5127,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5128,plain,
% 33.27/21.88 (((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32))) <=> ((~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5129,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32))))),
% 33.27/21.88 inference(monotonicity,[status(thm)],[5128])).
% 33.27/21.88 tff(5130,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))),
% 33.27/21.88 inference(transitivity,[status(thm)],[5129, 5127])).
% 33.27/21.88 tff(5131,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5132,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32))),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5131, 5130])).
% 33.27/21.88 tff(5133,plain,
% 33.27/21.88 (v101(constB32) | (~v102(constB32))),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5132, 638, 5068, 5126])).
% 33.27/21.88 tff(5134,plain,
% 33.27/21.88 (v101(constB32)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5133, 5123])).
% 33.27/21.88 tff(5135,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5136,plain,
% 33.27/21.88 (((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32)) <=> ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5137,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))))),
% 33.27/21.88 inference(monotonicity,[status(thm)],[5136])).
% 33.27/21.88 tff(5138,plain,
% 33.27/21.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 33.27/21.88 inference(transitivity,[status(thm)],[5137, 5135])).
% 33.27/21.88 tff(5139,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5140,plain,
% 33.27/21.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5139, 5138])).
% 33.27/21.88 tff(5141,plain,
% 33.27/21.88 (v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5140, 656, 5068])).
% 33.27/21.88 tff(5142,plain,
% 33.27/21.88 (v100(constB32) | (~v110(constB32))),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5141, 5134])).
% 33.27/21.88 tff(5143,plain,
% 33.27/21.88 (v100(constB32)),
% 33.27/21.88 inference(unit_resolution,[status(thm)],[5142, 5111])).
% 33.27/21.88 tff(5144,plain,
% 33.27/21.88 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2))),
% 33.27/21.88 inference(rewrite,[status(thm)],[])).
% 33.27/21.88 tff(5145,plain,
% 33.27/21.88 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))),
% 33.27/21.88 inference(quant_inst,[status(thm)],[])).
% 33.27/21.88 tff(5146,plain,
% 33.27/21.88 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2)),
% 33.27/21.88 inference(modus_ponens,[status(thm)],[5145, 5144])).
% 33.27/21.88 tff(5147,plain,
% 33.27/21.88 (v130(constB31, bitIndex2)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5146, 1578, 5074])).
% 33.27/21.89 tff(5148,plain,
% 33.27/21.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5149,plain,
% 33.27/21.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5150,plain,
% 33.27/21.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5149, 5148])).
% 33.27/21.89 tff(5151,plain,
% 33.27/21.89 ((~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5150, 1592, 5091])).
% 33.27/21.89 tff(5152,plain,
% 33.27/21.89 (v127(constB31, bitIndex2)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5151, 5147])).
% 33.27/21.89 tff(5153,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5154,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5155,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5154, 5153])).
% 33.27/21.89 tff(5156,plain,
% 33.27/21.89 ((~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5155, 1607, 5068])).
% 33.27/21.89 tff(5157,plain,
% 33.27/21.89 (v129(constB32, bitIndex2)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5156, 5152])).
% 33.27/21.89 tff(5158,plain,
% 33.27/21.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5159,plain,
% 33.27/21.89 ((v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2))) <=> (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5160,plain,
% 33.27/21.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))))),
% 33.27/21.89 inference(monotonicity,[status(thm)],[5159])).
% 33.27/21.89 tff(5161,plain,
% 33.27/21.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 33.27/21.89 inference(transitivity,[status(thm)],[5160, 5158])).
% 33.27/21.89 tff(5162,plain,
% 33.27/21.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5163,plain,
% 33.27/21.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5162, 5161])).
% 33.27/21.89 tff(5164,plain,
% 33.27/21.89 (v90(constB32, bitIndex2) | (~v100(constB32))),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5163, 1622, 5157])).
% 33.27/21.89 tff(5165,plain,
% 33.27/21.89 (v90(constB32, bitIndex2)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5164, 5143])).
% 33.27/21.89 tff(5166,plain,
% 33.27/21.89 ((~v1(constB33)) <=> (~v1(constB33))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5167,axiom,(~v1(constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 33.27/21.89 tff(5168,plain,
% 33.27/21.89 (~v1(constB33)),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 33.27/21.89 tff(5169,plain,
% 33.27/21.89 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5170,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 33.27/21.89 tff(5171,plain,
% 33.27/21.89 (nextState(constB32, constB33)),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5170, 5169])).
% 33.27/21.89 tff(5172,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5173,plain,
% 33.27/21.89 (((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5174,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))))),
% 33.27/21.89 inference(monotonicity,[status(thm)],[5173])).
% 33.27/21.89 tff(5175,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 33.27/21.89 inference(transitivity,[status(thm)],[5174, 5172])).
% 33.27/21.89 tff(5176,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5177,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5176, 5175])).
% 33.27/21.89 tff(5178,plain,
% 33.27/21.89 (~v101(constB33)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5177, 381, 5171, 5168])).
% 33.27/21.89 tff(5179,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5180,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5181,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33))),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5180, 5179])).
% 33.27/21.89 tff(5182,plain,
% 33.27/21.89 (v101(constB33) | (~v100(constB33))),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5181, 398, 5171])).
% 33.27/21.89 tff(5183,plain,
% 33.27/21.89 (~v100(constB33)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5182, 5178])).
% 33.27/21.89 tff(5184,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5185,plain,
% 33.27/21.89 (((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)) <=> ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5186,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2)))),
% 33.27/21.89 inference(monotonicity,[status(thm)],[5185])).
% 33.27/21.89 tff(5187,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 33.27/21.89 inference(transitivity,[status(thm)],[5186, 5184])).
% 33.27/21.89 tff(5188,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5189,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2)),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5188, 5187])).
% 33.27/21.89 tff(5190,plain,
% 33.27/21.89 ((~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5189, 1658, 5171])).
% 33.27/21.89 tff(5191,plain,
% 33.27/21.89 ((~v90(constB32, bitIndex2)) | v90(constB33, bitIndex2)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5190, 5183])).
% 33.27/21.89 tff(5192,plain,
% 33.27/21.89 (v90(constB33, bitIndex2)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5191, 5165])).
% 33.27/21.89 tff(5193,assumption,(~v129(constB32, bitIndex1)), introduced(assumption)).
% 33.27/21.89 tff(5194,plain,
% 33.27/21.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5195,plain,
% 33.27/21.89 (((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1)) <=> ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5196,plain,
% 33.27/21.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))))),
% 33.27/21.89 inference(monotonicity,[status(thm)],[5195])).
% 33.27/21.89 tff(5197,plain,
% 33.27/21.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 33.27/21.89 inference(transitivity,[status(thm)],[5196, 5194])).
% 33.27/21.89 tff(5198,plain,
% 33.27/21.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5199,plain,
% 33.27/21.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5198, 5197])).
% 33.27/21.89 tff(5200,plain,
% 33.27/21.89 ((~v90(constB32, bitIndex1)) | (~v100(constB32))),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5199, 814, 5193])).
% 33.27/21.89 tff(5201,plain,
% 33.27/21.89 (~v90(constB32, bitIndex1)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5200, 5143])).
% 33.27/21.89 tff(5202,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5203,plain,
% 33.27/21.89 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))) <=> (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5204,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1))))),
% 33.27/21.89 inference(monotonicity,[status(thm)],[5203])).
% 33.27/21.89 tff(5205,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 33.27/21.89 inference(transitivity,[status(thm)],[5204, 5202])).
% 33.27/21.89 tff(5206,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5207,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5206, 5205])).
% 33.27/21.89 tff(5208,plain,
% 33.27/21.89 (v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5207, 434, 5171])).
% 33.27/21.89 tff(5209,plain,
% 33.27/21.89 (v90(constB32, bitIndex1) | (~v90(constB33, bitIndex1))),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5208, 5183])).
% 33.27/21.89 tff(5210,plain,
% 33.27/21.89 (~v90(constB33, bitIndex1)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5209, 5201])).
% 33.27/21.89 tff(5211,plain,
% 33.27/21.89 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5212,plain,
% 33.27/21.89 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5213,plain,
% 33.27/21.89 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0))),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5212, 5211])).
% 33.27/21.89 tff(5214,plain,
% 33.27/21.89 (~v130(constB31, bitIndex0)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5213, 1721, 5074])).
% 33.27/21.89 tff(5215,plain,
% 33.27/21.89 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5216,plain,
% 33.27/21.89 ((v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0))) <=> ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5217,plain,
% 33.27/21.89 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)))),
% 33.27/21.89 inference(monotonicity,[status(thm)],[5216])).
% 33.27/21.89 tff(5218,plain,
% 33.27/21.89 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 33.27/21.89 inference(transitivity,[status(thm)],[5217, 5215])).
% 33.27/21.89 tff(5219,plain,
% 33.27/21.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5220,plain,
% 33.27/21.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5219, 5218])).
% 33.27/21.89 tff(5221,plain,
% 33.27/21.89 ((~v127(constB31, bitIndex0)) | v130(constB31, bitIndex0)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5220, 1182, 5091])).
% 33.27/21.89 tff(5222,plain,
% 33.27/21.89 (~v127(constB31, bitIndex0)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5221, 5214])).
% 33.27/21.89 tff(5223,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5224,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5225,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5224, 5223])).
% 33.27/21.89 tff(5226,plain,
% 33.27/21.89 (v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5225, 1200, 5068])).
% 33.27/21.89 tff(5227,plain,
% 33.27/21.89 (~v129(constB32, bitIndex0)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5226, 5222])).
% 33.27/21.89 tff(5228,plain,
% 33.27/21.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5229,plain,
% 33.27/21.89 (((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0)) <=> ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5230,plain,
% 33.27/21.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))))),
% 33.27/21.89 inference(monotonicity,[status(thm)],[5229])).
% 33.27/21.89 tff(5231,plain,
% 33.27/21.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 33.27/21.89 inference(transitivity,[status(thm)],[5230, 5228])).
% 33.27/21.89 tff(5232,plain,
% 33.27/21.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5233,plain,
% 33.27/21.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5232, 5231])).
% 33.27/21.89 tff(5234,plain,
% 33.27/21.89 ((~v90(constB32, bitIndex0)) | (~v100(constB32))),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5233, 1215, 5227])).
% 33.27/21.89 tff(5235,plain,
% 33.27/21.89 (~v90(constB32, bitIndex0)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5234, 5143])).
% 33.27/21.89 tff(5236,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5237,plain,
% 33.27/21.89 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))) <=> (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5238,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0))))),
% 33.27/21.89 inference(monotonicity,[status(thm)],[5237])).
% 33.27/21.89 tff(5239,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 33.27/21.89 inference(transitivity,[status(thm)],[5238, 5236])).
% 33.27/21.89 tff(5240,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5241,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5240, 5239])).
% 33.27/21.89 tff(5242,plain,
% 33.27/21.89 (v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5241, 455, 5171])).
% 33.27/21.89 tff(5243,plain,
% 33.27/21.89 (v90(constB32, bitIndex0) | (~v90(constB33, bitIndex0))),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5242, 5183])).
% 33.27/21.89 tff(5244,plain,
% 33.27/21.89 (~v90(constB33, bitIndex0)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5243, 5235])).
% 33.27/21.89 tff(5245,assumption,(~v123(constB33)), introduced(assumption)).
% 33.27/21.89 tff(5246,plain,
% 33.27/21.89 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5247,plain,
% 33.27/21.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5248,plain,
% 33.27/21.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33)),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5247, 5246])).
% 33.27/21.89 tff(5249,plain,
% 33.27/21.89 (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5248, 1765, 5245])).
% 33.27/21.89 tff(5250,plain,
% 33.27/21.89 ($false),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5249, 5244, 5210, 5192])).
% 33.27/21.89 tff(5251,plain,((~v122(constB31)) | v123(constB33) | v129(constB32, bitIndex1) | v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 33.27/21.89 tff(5252,plain,
% 33.27/21.89 ((~v122(constB31)) | v123(constB33) | v129(constB32, bitIndex1)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5251, 5057])).
% 33.27/21.89 tff(5253,plain,
% 33.27/21.89 (v123(constB33)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5252, 5073, 5049])).
% 33.27/21.89 tff(5254,plain,
% 33.27/21.89 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB33)) | v130(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB33)) | v130(constB33, bitIndex0))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5255,plain,
% 33.27/21.89 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB33)) | v130(constB33, bitIndex0))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5256,plain,
% 33.27/21.89 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB33)) | v130(constB33, bitIndex0)),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5255, 5254])).
% 33.27/21.89 tff(5257,plain,
% 33.27/21.89 (v130(constB33, bitIndex0)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5256, 1953, 5253])).
% 33.27/21.89 tff(5258,assumption,(v26(constB33)), introduced(assumption)).
% 33.27/21.89 tff(5259,plain,
% 33.27/21.89 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB33))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5260,plain,
% 33.27/21.89 ($false),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5259, 120, 5258])).
% 33.27/21.89 tff(5261,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 33.27/21.89 tff(5262,plain,
% 33.27/21.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5263,plain,
% 33.27/21.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5264,plain,
% 33.27/21.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0)),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5263, 5262])).
% 33.27/21.89 tff(5265,plain,
% 33.27/21.89 ((~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5264, 855, 5261])).
% 33.27/21.89 tff(5266,plain,
% 33.27/21.89 (v127(constB33, bitIndex0)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5265, 5257])).
% 33.27/21.89 tff(5267,plain,
% 33.27/21.89 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5268,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 33.27/21.89 tff(5269,plain,
% 33.27/21.89 (nextState(constB33, constB34)),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5268, 5267])).
% 33.27/21.89 tff(5270,plain,
% 33.27/21.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0))),
% 33.27/21.89 inference(rewrite,[status(thm)],[])).
% 33.27/21.89 tff(5271,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0))),
% 33.27/21.89 inference(quant_inst,[status(thm)],[])).
% 33.27/21.89 tff(5272,plain,
% 33.27/21.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0)),
% 33.27/21.89 inference(modus_ponens,[status(thm)],[5271, 5270])).
% 33.27/21.89 tff(5273,plain,
% 33.27/21.89 ((~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5272, 870, 5269])).
% 33.27/21.89 tff(5274,plain,
% 33.27/21.89 (v129(constB34, bitIndex0)),
% 33.27/21.89 inference(unit_resolution,[status(thm)],[5273, 5266])).
% 33.27/21.89 tff(5275,assumption,(~v100(constB34)), introduced(assumption)).
% 33.27/21.89 tff(5276,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5277,plain,
% 33.27/21.90 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5278,plain,
% 33.27/21.90 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5277, 5276])).
% 33.27/21.90 tff(5279,plain,
% 33.27/21.90 (~v104(constB34)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5278, 603, 5269, 5168])).
% 33.27/21.90 tff(5280,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5281,plain,
% 33.27/21.90 (((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34)) <=> ((~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5282,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | v102(constB34)))),
% 33.27/21.90 inference(monotonicity,[status(thm)],[5281])).
% 33.27/21.90 tff(5283,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))),
% 33.27/21.90 inference(transitivity,[status(thm)],[5282, 5280])).
% 33.27/21.90 tff(5284,plain,
% 33.27/21.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5285,plain,
% 33.27/21.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | v102(constB34)),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5284, 5283])).
% 33.27/21.90 tff(5286,plain,
% 33.27/21.90 (v104(constB34) | v102(constB34)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5285, 617, 5269])).
% 33.27/21.90 tff(5287,plain,
% 33.27/21.90 (v102(constB34)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5286, 5279])).
% 33.27/21.90 tff(5288,plain,
% 33.27/21.90 (v1(constB34) <=> v1(constB34)),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5289,axiom,(v1(constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 33.27/21.90 tff(5290,plain,
% 33.27/21.90 (v1(constB34)),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5289, 5288])).
% 33.27/21.90 tff(5291,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5292,plain,
% 33.27/21.90 (((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34))) <=> ((~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5293,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34))))),
% 33.27/21.90 inference(monotonicity,[status(thm)],[5292])).
% 33.27/21.90 tff(5294,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))),
% 33.27/21.90 inference(transitivity,[status(thm)],[5293, 5291])).
% 33.27/21.90 tff(5295,plain,
% 33.27/21.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5296,plain,
% 33.27/21.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5295, 5294])).
% 33.27/21.90 tff(5297,plain,
% 33.27/21.90 (v101(constB34) | (~v102(constB34))),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5296, 638, 5269, 5290])).
% 33.27/21.90 tff(5298,plain,
% 33.27/21.90 (v101(constB34)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5297, 5287])).
% 33.27/21.90 tff(5299,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5300,plain,
% 33.27/21.90 (((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34)) <=> ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5301,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))))),
% 33.27/21.90 inference(monotonicity,[status(thm)],[5300])).
% 33.27/21.90 tff(5302,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 33.27/21.90 inference(transitivity,[status(thm)],[5301, 5299])).
% 33.27/21.90 tff(5303,plain,
% 33.27/21.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5304,plain,
% 33.27/21.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5303, 5302])).
% 33.27/21.90 tff(5305,plain,
% 33.27/21.90 (v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5304, 656, 5269])).
% 33.27/21.90 tff(5306,plain,
% 33.27/21.90 (v100(constB34) | (~v110(constB34))),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5305, 5298])).
% 33.27/21.90 tff(5307,plain,
% 33.27/21.90 (~v110(constB34)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5306, 5275])).
% 33.27/21.90 tff(5308,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5309,plain,
% 33.27/21.90 (((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34)) <=> ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5310,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))))),
% 33.27/21.90 inference(monotonicity,[status(thm)],[5309])).
% 33.27/21.90 tff(5311,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 33.27/21.90 inference(transitivity,[status(thm)],[5310, 5308])).
% 33.27/21.90 tff(5312,plain,
% 33.27/21.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5313,plain,
% 33.27/21.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5312, 5311])).
% 33.27/21.90 tff(5314,plain,
% 33.27/21.90 (v110(constB34) | (~v108(constB33))),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5313, 585, 5269])).
% 33.27/21.90 tff(5315,plain,
% 33.27/21.90 (~v108(constB33)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5314, 5307])).
% 33.27/21.90 tff(5316,assumption,(~v108(constB33)), introduced(assumption)).
% 33.27/21.90 tff(5317,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB33) | (~v112(constB33)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB33) | (~v112(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5318,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB33) | (~v112(constB33)))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5319,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB33) | (~v112(constB33))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5318, 5317])).
% 33.27/21.90 tff(5320,plain,
% 33.27/21.90 (~v112(constB33)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5319, 568, 5316])).
% 33.27/21.90 tff(5321,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB33) | (~v26(constB33)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB33) | (~v26(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5322,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB33) | (~v26(constB33)))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5323,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB33) | (~v26(constB33))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5322, 5321])).
% 33.27/21.90 tff(5324,plain,
% 33.27/21.90 (~v26(constB33)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5323, 2348, 5316])).
% 33.27/21.90 tff(5325,assumption,(v113(constB33)), introduced(assumption)).
% 33.27/21.90 tff(5326,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | v112(constB33) | (~v113(constB33)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | v112(constB33) | (~v113(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5327,plain,
% 33.27/21.90 ((v26(constB33) | (~v113(constB33)) | v112(constB33)) <=> (v26(constB33) | v112(constB33) | (~v113(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5328,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | v112(constB33) | (~v113(constB33))))),
% 33.27/21.90 inference(monotonicity,[status(thm)],[5327])).
% 33.27/21.90 tff(5329,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | v112(constB33) | (~v113(constB33)))),
% 33.27/21.90 inference(transitivity,[status(thm)],[5328, 5326])).
% 33.27/21.90 tff(5330,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5331,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | v112(constB33) | (~v113(constB33))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5330, 5329])).
% 33.27/21.90 tff(5332,plain,
% 33.27/21.90 (v26(constB33) | v112(constB33)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5331, 556, 5325])).
% 33.27/21.90 tff(5333,plain,
% 33.27/21.90 ($false),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5332, 5324, 5320])).
% 33.27/21.90 tff(5334,plain,(v108(constB33) | (~v113(constB33))), inference(lemma,lemma(discharge,[]))).
% 33.27/21.90 tff(5335,plain,
% 33.27/21.90 (~v113(constB33)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5334, 5315])).
% 33.27/21.90 tff(5336,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB33) | (~v114(constB33)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB33) | (~v114(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5337,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB33) | (~v114(constB33)))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5338,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB33) | (~v114(constB33))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5337, 5336])).
% 33.27/21.90 tff(5339,plain,
% 33.27/21.90 (~v114(constB33)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5338, 542, 5335])).
% 33.27/21.90 tff(5340,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB33) | (~v115(constB33)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB33) | (~v115(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5341,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB33) | (~v115(constB33)))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5342,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB33) | (~v115(constB33))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5341, 5340])).
% 33.27/21.90 tff(5343,plain,
% 33.27/21.90 (~v115(constB33)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5342, 531, 5339])).
% 33.27/21.90 tff(5344,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB33) | (~v116(constB33)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB33) | (~v116(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5345,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB33) | (~v116(constB33)))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5346,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB33) | (~v116(constB33))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5345, 5344])).
% 33.27/21.90 tff(5347,plain,
% 33.27/21.90 (~v116(constB33)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5346, 520, 5343])).
% 33.27/21.90 tff(5348,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB33) | (~v117(constB33)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB33) | (~v117(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5349,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB33) | (~v117(constB33)))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5350,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB33) | (~v117(constB33))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5349, 5348])).
% 33.27/21.90 tff(5351,plain,
% 33.27/21.90 (~v117(constB33)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5350, 509, 5347])).
% 33.27/21.90 tff(5352,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB33) | (~v121(constB33)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB33) | (~v121(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5353,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB33) | (~v121(constB33)))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5354,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB33) | (~v121(constB33))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5353, 5352])).
% 33.27/21.90 tff(5355,plain,
% 33.27/21.90 (~v121(constB33)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5354, 1253, 5351])).
% 33.27/21.90 tff(5356,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB33) | (~v123(constB33)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB33) | (~v123(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5357,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB33) | (~v123(constB33)))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5358,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB33) | (~v123(constB33))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5357, 5356])).
% 33.27/21.90 tff(5359,plain,
% 33.27/21.90 (~v123(constB33)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5358, 1776, 5343])).
% 33.27/21.90 tff(5360,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB33) | (~v125(constB33)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB33) | (~v125(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5361,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB33) | (~v125(constB33)))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5362,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB33) | (~v125(constB33))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5361, 5360])).
% 33.27/21.90 tff(5363,plain,
% 33.27/21.90 (~v125(constB33)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5362, 2332, 5335])).
% 33.27/21.90 tff(5364,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB33) | (~v118(constB33)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB33) | (~v118(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5365,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB33) | (~v118(constB33)))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5366,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB33) | (~v118(constB33))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5365, 5364])).
% 33.27/21.90 tff(5367,plain,
% 33.27/21.90 (~v118(constB33)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5366, 498, 5351])).
% 33.27/21.90 tff(5368,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB33) | (~v119(constB33)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB33) | (~v119(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5369,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB33) | (~v119(constB33)))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5370,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB33) | (~v119(constB33))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5369, 5368])).
% 33.27/21.90 tff(5371,plain,
% 33.27/21.90 (~v119(constB33)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5370, 487, 5367])).
% 33.27/21.90 tff(5372,assumption,(~v90(constB33, bitIndex0)), introduced(assumption)).
% 33.27/21.90 tff(5373,assumption,(~v121(constB33)), introduced(assumption)).
% 33.27/21.90 tff(5374,assumption,(~v119(constB33)), introduced(assumption)).
% 33.27/21.90 tff(5375,assumption,(~v90(constB33, bitIndex2)), introduced(assumption)).
% 33.27/21.90 tff(5376,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5377,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5378,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33)),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5377, 5376])).
% 33.27/21.90 tff(5379,plain,
% 33.27/21.90 (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5378, 1242, 5373])).
% 33.27/21.90 tff(5380,plain,
% 33.27/21.90 (~v90(constB33, bitIndex1)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5379, 5375, 5372])).
% 33.27/21.90 tff(5381,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB33) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB33) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5382,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB33) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5383,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB33) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2)),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 33.27/21.90 tff(5384,plain,
% 33.27/21.90 (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5383, 476, 5374])).
% 33.27/21.90 tff(5385,plain,
% 33.27/21.90 ($false),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5384, 5380, 5375, 5372])).
% 33.27/21.90 tff(5386,plain,(v90(constB33, bitIndex2) | v90(constB33, bitIndex0) | v119(constB33) | v121(constB33)), inference(lemma,lemma(discharge,[]))).
% 33.27/21.90 tff(5387,plain,
% 33.27/21.90 (v90(constB33, bitIndex2)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5386, 5372, 5374, 5373])).
% 33.27/21.90 tff(5388,assumption,(~v125(constB33)), introduced(assumption)).
% 33.27/21.90 tff(5389,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5390,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5391,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33)),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5390, 5389])).
% 33.27/21.90 tff(5392,plain,
% 33.27/21.90 (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2))),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5391, 2321, 5388])).
% 33.27/21.90 tff(5393,plain,
% 33.27/21.90 (~v90(constB33, bitIndex1)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5392, 5387, 5372])).
% 33.27/21.90 tff(5394,plain,
% 33.27/21.90 ($false),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5249, 5393, 5387, 5372])).
% 33.27/21.90 tff(5395,plain,(v90(constB33, bitIndex0) | v123(constB33) | v125(constB33) | v119(constB33) | v121(constB33)), inference(lemma,lemma(discharge,[]))).
% 33.27/21.90 tff(5396,plain,
% 33.27/21.90 (v90(constB33, bitIndex0)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5395, 5371, 5363, 5359, 5355])).
% 33.27/21.90 tff(5397,plain,
% 33.27/21.90 (v90(constB32, bitIndex0)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5243, 5396])).
% 33.27/21.90 tff(5398,assumption,(v90(constB32, bitIndex0)), introduced(assumption)).
% 33.27/21.90 tff(5399,assumption,(v100(constB32)), introduced(assumption)).
% 33.27/21.90 tff(5400,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex0))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5401,plain,
% 33.27/21.90 (((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex0)) | v100(constB33) | v90(constB33, bitIndex0)) <=> ((~v90(constB32, bitIndex0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex0))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5402,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex0)) | v100(constB33) | v90(constB33, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex0)))),
% 33.27/21.90 inference(monotonicity,[status(thm)],[5401])).
% 33.27/21.90 tff(5403,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex0)) | v100(constB33) | v90(constB33, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex0))),
% 33.27/21.90 inference(transitivity,[status(thm)],[5402, 5400])).
% 33.27/21.90 tff(5404,plain,
% 33.27/21.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex0)) | v100(constB33) | v90(constB33, bitIndex0))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5405,plain,
% 33.27/21.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex0)),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5404, 5403])).
% 33.27/21.90 tff(5406,plain,
% 33.27/21.90 ((~v90(constB32, bitIndex0)) | v100(constB33) | v90(constB33, bitIndex0)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5405, 903, 5171])).
% 33.27/21.90 tff(5407,plain,
% 33.27/21.90 ((~v90(constB32, bitIndex0)) | v90(constB33, bitIndex0)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5406, 5183])).
% 33.27/21.90 tff(5408,plain,
% 33.27/21.90 (v90(constB33, bitIndex0)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5407, 5398])).
% 33.27/21.90 tff(5409,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB33, bitIndex0)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB33, bitIndex0)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex0))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5410,plain,
% 33.27/21.90 (((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex0)) | v100(constB34) | v90(constB34, bitIndex0)) <=> ((~v90(constB33, bitIndex0)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex0))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5411,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex0)) | v100(constB34) | v90(constB34, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB33, bitIndex0)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex0)))),
% 33.27/21.90 inference(monotonicity,[status(thm)],[5410])).
% 33.27/21.90 tff(5412,plain,
% 33.27/21.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex0)) | v100(constB34) | v90(constB34, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB33, bitIndex0)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex0))),
% 33.27/21.90 inference(transitivity,[status(thm)],[5411, 5409])).
% 33.27/21.90 tff(5413,plain,
% 33.27/21.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex0)) | v100(constB34) | v90(constB34, bitIndex0))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5414,plain,
% 33.27/21.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB33, bitIndex0)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex0)),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5413, 5412])).
% 33.27/21.90 tff(5415,plain,
% 33.27/21.90 ((~v90(constB33, bitIndex0)) | v100(constB34) | v90(constB34, bitIndex0)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5414, 903, 5269])).
% 33.27/21.90 tff(5416,plain,
% 33.27/21.90 (v90(constB34, bitIndex0)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5415, 5275, 5408])).
% 33.27/21.90 tff(5417,plain,
% 33.27/21.90 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB33) | (~v122(constB33)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB33) | (~v122(constB33)))),
% 33.27/21.90 inference(rewrite,[status(thm)],[])).
% 33.27/21.90 tff(5418,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB33) | (~v122(constB33)))),
% 33.27/21.90 inference(quant_inst,[status(thm)],[])).
% 33.27/21.90 tff(5419,plain,
% 33.27/21.90 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB33) | (~v122(constB33))),
% 33.27/21.90 inference(modus_ponens,[status(thm)],[5418, 5417])).
% 33.27/21.90 tff(5420,plain,
% 33.27/21.90 (~v122(constB33)),
% 33.27/21.90 inference(unit_resolution,[status(thm)],[5419, 1497, 5347])).
% 33.27/21.90 tff(5421,assumption,(~v122(constB33)), introduced(assumption)).
% 33.27/21.91 tff(5422,assumption,(~v90(constB34, bitIndex2)), introduced(assumption)).
% 33.27/21.91 tff(5423,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5424,plain,
% 33.27/21.91 (((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex2)) | v100(constB34) | v90(constB34, bitIndex2)) <=> ((~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5425,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex2)) | v100(constB34) | v90(constB34, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2)))),
% 33.27/21.91 inference(monotonicity,[status(thm)],[5424])).
% 33.27/21.91 tff(5426,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex2)) | v100(constB34) | v90(constB34, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2))),
% 33.27/21.91 inference(transitivity,[status(thm)],[5425, 5423])).
% 33.27/21.91 tff(5427,plain,
% 33.27/21.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex2)) | v100(constB34) | v90(constB34, bitIndex2))),
% 33.27/21.91 inference(quant_inst,[status(thm)],[])).
% 33.27/21.91 tff(5428,plain,
% 33.27/21.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB33, bitIndex2)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex2)),
% 33.27/21.91 inference(modus_ponens,[status(thm)],[5427, 5426])).
% 33.27/21.91 tff(5429,plain,
% 33.27/21.91 ((~v90(constB33, bitIndex2)) | v100(constB34) | v90(constB34, bitIndex2)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5428, 1658, 5269])).
% 33.27/21.91 tff(5430,plain,
% 33.27/21.91 (~v90(constB33, bitIndex2)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5429, 5275, 5422])).
% 33.27/21.91 tff(5431,assumption,(v90(constB34, bitIndex0)), introduced(assumption)).
% 33.27/21.91 tff(5432,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB33, bitIndex0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB33, bitIndex0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex0)))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5433,plain,
% 33.27/21.91 (((~nextState(constB33, constB34)) | v90(constB33, bitIndex0) | v100(constB34) | (~v90(constB34, bitIndex0))) <=> (v90(constB33, bitIndex0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex0)))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5434,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex0) | v100(constB34) | (~v90(constB34, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB33, bitIndex0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex0))))),
% 33.27/21.91 inference(monotonicity,[status(thm)],[5433])).
% 33.27/21.91 tff(5435,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex0) | v100(constB34) | (~v90(constB34, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB33, bitIndex0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex0)))),
% 33.27/21.91 inference(transitivity,[status(thm)],[5434, 5432])).
% 33.27/21.91 tff(5436,plain,
% 33.27/21.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex0) | v100(constB34) | (~v90(constB34, bitIndex0)))),
% 33.27/21.91 inference(quant_inst,[status(thm)],[])).
% 33.27/21.91 tff(5437,plain,
% 33.27/21.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB33, bitIndex0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex0))),
% 33.27/21.91 inference(modus_ponens,[status(thm)],[5436, 5435])).
% 33.27/21.91 tff(5438,plain,
% 33.27/21.91 (v90(constB33, bitIndex0) | v100(constB34) | (~v90(constB34, bitIndex0))),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5437, 455, 5269])).
% 33.27/21.91 tff(5439,plain,
% 33.27/21.91 (v90(constB33, bitIndex0)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5438, 5275, 5431])).
% 33.27/21.91 tff(5440,assumption,(v90(constB33, bitIndex0)), introduced(assumption)).
% 33.27/21.91 tff(5441,plain,
% 33.27/21.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5442,plain,
% 33.27/21.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33))),
% 33.27/21.91 inference(quant_inst,[status(thm)],[])).
% 33.27/21.91 tff(5443,plain,
% 33.27/21.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33)),
% 33.27/21.91 inference(modus_ponens,[status(thm)],[5442, 5441])).
% 33.27/21.91 tff(5444,plain,
% 33.27/21.91 ((~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5443, 1486, 5421])).
% 33.27/21.91 tff(5445,plain,
% 33.27/21.91 (~v90(constB33, bitIndex1)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5444, 5375, 5440])).
% 33.27/21.91 tff(5446,assumption,(~v120(constB33)), introduced(assumption)).
% 33.27/21.91 tff(5447,plain,
% 33.27/21.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5448,plain,
% 33.27/21.91 (((~v90(constB33, bitIndex0)) | v120(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2)) <=> ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5449,plain,
% 33.27/21.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB33, bitIndex0)) | v120(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33)))),
% 33.27/21.91 inference(monotonicity,[status(thm)],[5448])).
% 33.27/21.91 tff(5450,plain,
% 33.27/21.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB33, bitIndex0)) | v120(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33))),
% 33.27/21.91 inference(transitivity,[status(thm)],[5449, 5447])).
% 33.27/21.91 tff(5451,plain,
% 33.27/21.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB33, bitIndex0)) | v120(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))),
% 33.27/21.91 inference(quant_inst,[status(thm)],[])).
% 33.27/21.91 tff(5452,plain,
% 33.27/21.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33)),
% 33.27/21.91 inference(modus_ponens,[status(thm)],[5451, 5450])).
% 33.27/21.91 tff(5453,plain,
% 33.27/21.91 ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5452, 922, 5446])).
% 33.27/21.91 tff(5454,plain,
% 33.27/21.91 ($false),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5453, 5445, 5375, 5440])).
% 33.27/21.91 tff(5455,plain,(v90(constB33, bitIndex2) | (~v90(constB33, bitIndex0)) | v120(constB33) | v122(constB33)), inference(lemma,lemma(discharge,[]))).
% 33.27/21.91 tff(5456,plain,
% 33.27/21.91 (v120(constB33)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5455, 5439, 5430, 5421])).
% 33.27/21.91 tff(5457,plain,
% 33.27/21.91 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB33) | (~v120(constB33)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB33) | (~v120(constB33)))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5458,plain,
% 33.27/21.91 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB33) | (~v120(constB33)))),
% 33.27/21.91 inference(quant_inst,[status(thm)],[])).
% 33.27/21.91 tff(5459,plain,
% 33.27/21.91 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB33) | (~v120(constB33))),
% 33.27/21.91 inference(modus_ponens,[status(thm)],[5458, 5457])).
% 33.27/21.91 tff(5460,plain,
% 33.27/21.91 (v118(constB33)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5459, 936, 5456])).
% 33.27/21.91 tff(5461,plain,
% 33.27/21.91 (v117(constB33)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5366, 498, 5460])).
% 33.27/21.91 tff(5462,plain,
% 33.27/21.91 (v116(constB33)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5350, 509, 5461])).
% 33.27/21.91 tff(5463,plain,
% 33.27/21.91 ($false),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5346, 520, 5343, 5462])).
% 33.27/21.91 tff(5464,plain,(v100(constB34) | v122(constB33) | (~v90(constB34, bitIndex0)) | v90(constB34, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 33.27/21.91 tff(5465,plain,
% 33.27/21.91 (v90(constB34, bitIndex2)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5464, 5420, 5416, 5275])).
% 33.27/21.91 tff(5466,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB33, bitIndex2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB33, bitIndex2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex2)))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5467,plain,
% 33.27/21.91 (((~nextState(constB33, constB34)) | v90(constB33, bitIndex2) | v100(constB34) | (~v90(constB34, bitIndex2))) <=> (v90(constB33, bitIndex2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex2)))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5468,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex2) | v100(constB34) | (~v90(constB34, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB33, bitIndex2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex2))))),
% 33.27/21.91 inference(monotonicity,[status(thm)],[5467])).
% 33.27/21.91 tff(5469,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex2) | v100(constB34) | (~v90(constB34, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB33, bitIndex2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex2)))),
% 33.27/21.91 inference(transitivity,[status(thm)],[5468, 5466])).
% 33.27/21.91 tff(5470,plain,
% 33.27/21.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex2) | v100(constB34) | (~v90(constB34, bitIndex2)))),
% 33.27/21.91 inference(quant_inst,[status(thm)],[])).
% 33.27/21.91 tff(5471,plain,
% 33.27/21.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB33, bitIndex2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex2))),
% 33.27/21.91 inference(modus_ponens,[status(thm)],[5470, 5469])).
% 33.27/21.91 tff(5472,plain,
% 33.27/21.91 (v90(constB33, bitIndex2) | v100(constB34) | (~v90(constB34, bitIndex2))),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5471, 413, 5269])).
% 33.27/21.91 tff(5473,plain,
% 33.27/21.91 (v90(constB33, bitIndex2)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5472, 5465, 5275])).
% 33.27/21.91 tff(5474,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5475,plain,
% 33.27/21.91 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2))) <=> (v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5476,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2))))),
% 33.27/21.91 inference(monotonicity,[status(thm)],[5475])).
% 33.27/21.91 tff(5477,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 33.27/21.91 inference(transitivity,[status(thm)],[5476, 5474])).
% 33.27/21.91 tff(5478,plain,
% 33.27/21.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 33.27/21.91 inference(quant_inst,[status(thm)],[])).
% 33.27/21.91 tff(5479,plain,
% 33.27/21.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2))),
% 33.27/21.91 inference(modus_ponens,[status(thm)],[5478, 5477])).
% 33.27/21.91 tff(5480,plain,
% 33.27/21.91 (v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2))),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5479, 413, 5171])).
% 33.27/21.91 tff(5481,plain,
% 33.27/21.91 (v90(constB32, bitIndex2) | (~v90(constB33, bitIndex2))),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5480, 5183])).
% 33.27/21.91 tff(5482,plain,
% 33.27/21.91 (v90(constB32, bitIndex2)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5481, 5473])).
% 33.27/21.91 tff(5483,assumption,(v90(constB34, bitIndex2)), introduced(assumption)).
% 33.27/21.91 tff(5484,plain,
% 33.27/21.91 (v90(constB33, bitIndex2)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5472, 5275, 5483])).
% 33.27/21.91 tff(5485,assumption,(~v90(constB34, bitIndex1)), introduced(assumption)).
% 33.27/21.91 tff(5486,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB33, bitIndex1)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB33, bitIndex1)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex1))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5487,plain,
% 33.27/21.91 (((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex1)) | v100(constB34) | v90(constB34, bitIndex1)) <=> ((~v90(constB33, bitIndex1)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex1))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5488,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex1)) | v100(constB34) | v90(constB34, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB33, bitIndex1)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex1)))),
% 33.27/21.91 inference(monotonicity,[status(thm)],[5487])).
% 33.27/21.91 tff(5489,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex1)) | v100(constB34) | v90(constB34, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB33, bitIndex1)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex1))),
% 33.27/21.91 inference(transitivity,[status(thm)],[5488, 5486])).
% 33.27/21.91 tff(5490,plain,
% 33.27/21.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v90(constB33, bitIndex1)) | v100(constB34) | v90(constB34, bitIndex1))),
% 33.27/21.91 inference(quant_inst,[status(thm)],[])).
% 33.27/21.91 tff(5491,plain,
% 33.27/21.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB33, bitIndex1)) | (~nextState(constB33, constB34)) | v100(constB34) | v90(constB34, bitIndex1)),
% 33.27/21.91 inference(modus_ponens,[status(thm)],[5490, 5489])).
% 33.27/21.91 tff(5492,plain,
% 33.27/21.91 ((~v90(constB33, bitIndex1)) | v100(constB34) | v90(constB34, bitIndex1)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5491, 1149, 5269])).
% 33.27/21.91 tff(5493,plain,
% 33.27/21.91 (~v90(constB33, bitIndex1)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5492, 5275, 5485])).
% 33.27/21.91 tff(5494,assumption,(v124(constB33)), introduced(assumption)).
% 33.27/21.91 tff(5495,plain,
% 33.27/21.91 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB33) | (~v124(constB33)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB33) | (~v124(constB33)))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5496,plain,
% 33.27/21.91 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB33) | (~v124(constB33)))),
% 33.27/21.91 inference(quant_inst,[status(thm)],[])).
% 33.27/21.91 tff(5497,plain,
% 33.27/21.91 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB33) | (~v124(constB33))),
% 33.27/21.91 inference(modus_ponens,[status(thm)],[5496, 5495])).
% 33.27/21.91 tff(5498,plain,
% 33.27/21.91 (v114(constB33)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5497, 2005, 5494])).
% 33.27/21.91 tff(5499,plain,
% 33.27/21.91 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB33)) | (~v130(constB33, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB33)) | (~v130(constB33, bitIndex0)))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5500,plain,
% 33.27/21.91 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB33)) | (~v130(constB33, bitIndex0)))),
% 33.27/21.91 inference(quant_inst,[status(thm)],[])).
% 33.27/21.91 tff(5501,plain,
% 33.27/21.91 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB33)) | (~v130(constB33, bitIndex0))),
% 33.27/21.91 inference(modus_ponens,[status(thm)],[5500, 5499])).
% 33.27/21.91 tff(5502,plain,
% 33.27/21.91 (~v130(constB33, bitIndex0)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5501, 2277, 5494])).
% 33.27/21.91 tff(5503,plain,
% 33.27/21.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5504,plain,
% 33.27/21.91 ((v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0))) <=> ((~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5505,plain,
% 33.27/21.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0)))),
% 33.27/21.91 inference(monotonicity,[status(thm)],[5504])).
% 33.27/21.91 tff(5506,plain,
% 33.27/21.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))),
% 33.27/21.91 inference(transitivity,[status(thm)],[5505, 5503])).
% 33.27/21.91 tff(5507,plain,
% 33.27/21.91 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0)))),
% 33.27/21.91 inference(quant_inst,[status(thm)],[])).
% 33.27/21.91 tff(5508,plain,
% 33.27/21.91 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0)),
% 33.27/21.91 inference(modus_ponens,[status(thm)],[5507, 5506])).
% 33.27/21.91 tff(5509,plain,
% 33.27/21.91 ((~v127(constB33, bitIndex0)) | v130(constB33, bitIndex0)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5508, 1182, 5261])).
% 33.27/21.91 tff(5510,plain,
% 33.27/21.91 (~v127(constB33, bitIndex0)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5509, 5502])).
% 33.27/21.91 tff(5511,plain,
% 33.27/21.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0)))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5512,plain,
% 33.27/21.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0)))),
% 33.27/21.91 inference(quant_inst,[status(thm)],[])).
% 33.27/21.91 tff(5513,plain,
% 33.27/21.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0))),
% 33.27/21.91 inference(modus_ponens,[status(thm)],[5512, 5511])).
% 33.27/21.91 tff(5514,plain,
% 33.27/21.91 (v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0))),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5513, 1200, 5269])).
% 33.27/21.91 tff(5515,plain,
% 33.27/21.91 (~v129(constB34, bitIndex0)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5514, 5510])).
% 33.27/21.91 tff(5516,plain,
% 33.27/21.91 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5517,plain,
% 33.27/21.91 (((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0)) <=> ((~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))),
% 33.27/21.91 inference(rewrite,[status(thm)],[])).
% 33.27/21.91 tff(5518,plain,
% 33.27/21.91 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34))))),
% 33.27/21.91 inference(monotonicity,[status(thm)],[5517])).
% 33.27/21.91 tff(5519,plain,
% 33.27/21.91 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))),
% 33.27/21.91 inference(transitivity,[status(thm)],[5518, 5516])).
% 33.27/21.91 tff(5520,plain,
% 33.27/21.91 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0))),
% 33.27/21.91 inference(quant_inst,[status(thm)],[])).
% 33.27/21.91 tff(5521,plain,
% 33.27/21.91 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34))),
% 33.27/21.91 inference(modus_ponens,[status(thm)],[5520, 5519])).
% 33.27/21.91 tff(5522,plain,
% 33.27/21.91 (v129(constB34, bitIndex0) | (~v100(constB34))),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5521, 1215, 5431])).
% 33.27/21.91 tff(5523,plain,
% 33.27/21.91 (~v100(constB34)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5522, 5515])).
% 33.27/21.91 tff(5524,plain,
% 33.27/21.91 (~v110(constB34)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5306, 5523])).
% 33.27/21.91 tff(5525,plain,
% 33.27/21.91 (~v108(constB33)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5314, 5524])).
% 33.27/21.91 tff(5526,plain,
% 33.27/21.91 (~v113(constB33)),
% 33.27/21.91 inference(unit_resolution,[status(thm)],[5334, 5525])).
% 33.27/21.92 tff(5527,plain,
% 33.27/21.92 ($false),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5338, 542, 5526, 5498])).
% 33.27/21.92 tff(5528,plain,((~v124(constB33)) | (~v90(constB34, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 33.27/21.92 tff(5529,plain,
% 33.27/21.92 (~v124(constB33)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5528, 5431])).
% 33.27/21.92 tff(5530,plain,
% 33.27/21.92 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5531,plain,
% 33.27/21.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33))),
% 33.27/21.92 inference(quant_inst,[status(thm)],[])).
% 33.27/21.92 tff(5532,plain,
% 33.27/21.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33)),
% 33.27/21.92 inference(modus_ponens,[status(thm)],[5531, 5530])).
% 33.27/21.92 tff(5533,plain,
% 33.27/21.92 ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5532, 1994, 5529])).
% 33.27/21.92 tff(5534,plain,
% 33.27/21.92 ($false),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5533, 5439, 5493, 5484])).
% 33.27/21.92 tff(5535,plain,(v100(constB34) | (~v90(constB34, bitIndex2)) | (~v90(constB34, bitIndex0)) | v90(constB34, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 33.27/21.92 tff(5536,plain,
% 33.27/21.92 (v90(constB34, bitIndex1)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5535, 5465, 5275, 5416])).
% 33.27/21.92 tff(5537,plain,
% 33.27/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB33, bitIndex1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB33, bitIndex1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex1)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5538,plain,
% 33.27/21.92 (((~nextState(constB33, constB34)) | v90(constB33, bitIndex1) | v100(constB34) | (~v90(constB34, bitIndex1))) <=> (v90(constB33, bitIndex1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex1)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5539,plain,
% 33.27/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex1) | v100(constB34) | (~v90(constB34, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB33, bitIndex1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex1))))),
% 33.27/21.92 inference(monotonicity,[status(thm)],[5538])).
% 33.27/21.92 tff(5540,plain,
% 33.27/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex1) | v100(constB34) | (~v90(constB34, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB33, bitIndex1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex1)))),
% 33.27/21.92 inference(transitivity,[status(thm)],[5539, 5537])).
% 33.27/21.92 tff(5541,plain,
% 33.27/21.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v90(constB33, bitIndex1) | v100(constB34) | (~v90(constB34, bitIndex1)))),
% 33.27/21.92 inference(quant_inst,[status(thm)],[])).
% 33.27/21.92 tff(5542,plain,
% 33.27/21.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB33, bitIndex1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, bitIndex1))),
% 33.27/21.92 inference(modus_ponens,[status(thm)],[5541, 5540])).
% 33.27/21.92 tff(5543,plain,
% 33.27/21.92 (v90(constB33, bitIndex1) | v100(constB34) | (~v90(constB34, bitIndex1))),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5542, 434, 5269])).
% 33.27/21.92 tff(5544,plain,
% 33.27/21.92 (v90(constB33, bitIndex1)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5543, 5536, 5275])).
% 33.27/21.92 tff(5545,plain,
% 33.27/21.92 (v90(constB32, bitIndex1)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5209, 5544])).
% 33.27/21.92 tff(5546,assumption,(v90(constB32, bitIndex2)), introduced(assumption)).
% 33.27/21.92 tff(5547,plain,
% 33.27/21.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | v129(constB32, bitIndex2) | (~v100(constB32)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | v129(constB32, bitIndex2) | (~v100(constB32)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5548,plain,
% 33.27/21.92 (((~v90(constB32, bitIndex2)) | (~v100(constB32)) | v129(constB32, bitIndex2)) <=> ((~v90(constB32, bitIndex2)) | v129(constB32, bitIndex2) | (~v100(constB32)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5549,plain,
% 33.27/21.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~v100(constB32)) | v129(constB32, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | v129(constB32, bitIndex2) | (~v100(constB32))))),
% 33.27/21.92 inference(monotonicity,[status(thm)],[5548])).
% 33.27/21.92 tff(5550,plain,
% 33.27/21.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~v100(constB32)) | v129(constB32, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | v129(constB32, bitIndex2) | (~v100(constB32)))),
% 33.27/21.92 inference(transitivity,[status(thm)],[5549, 5547])).
% 33.27/21.92 tff(5551,plain,
% 33.27/21.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~v100(constB32)) | v129(constB32, bitIndex2))),
% 33.27/21.92 inference(quant_inst,[status(thm)],[])).
% 33.27/21.92 tff(5552,plain,
% 33.27/21.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | v129(constB32, bitIndex2) | (~v100(constB32))),
% 33.27/21.92 inference(modus_ponens,[status(thm)],[5551, 5550])).
% 33.27/21.92 tff(5553,plain,
% 33.27/21.92 (v129(constB32, bitIndex2) | (~v100(constB32))),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5552, 722, 5546])).
% 33.27/21.92 tff(5554,plain,
% 33.27/21.92 (v129(constB32, bitIndex2)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5553, 5399])).
% 33.27/21.92 tff(5555,plain,
% 33.27/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex2) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex2) | (~v129(constB32, bitIndex2)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5556,plain,
% 33.27/21.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex2) | (~v129(constB32, bitIndex2)))),
% 33.27/21.92 inference(quant_inst,[status(thm)],[])).
% 33.27/21.92 tff(5557,plain,
% 33.27/21.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex2) | (~v129(constB32, bitIndex2))),
% 33.27/21.92 inference(modus_ponens,[status(thm)],[5556, 5555])).
% 33.27/21.92 tff(5558,plain,
% 33.27/21.92 (v127(constB31, bitIndex2) | (~v129(constB32, bitIndex2))),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5557, 707, 5068])).
% 33.27/21.92 tff(5559,plain,
% 33.27/21.92 (v127(constB31, bitIndex2)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5558, 5554])).
% 33.27/21.92 tff(5560,plain,
% 33.27/21.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB31, bitIndex2)) | v26(constB31) | v130(constB31, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB31, bitIndex2)) | v26(constB31) | v130(constB31, bitIndex2))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5561,plain,
% 33.27/21.92 ((v26(constB31) | v130(constB31, bitIndex2) | (~v127(constB31, bitIndex2))) <=> ((~v127(constB31, bitIndex2)) | v26(constB31) | v130(constB31, bitIndex2))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5562,plain,
% 33.27/21.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB31) | v130(constB31, bitIndex2) | (~v127(constB31, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB31, bitIndex2)) | v26(constB31) | v130(constB31, bitIndex2)))),
% 33.27/21.92 inference(monotonicity,[status(thm)],[5561])).
% 33.27/21.92 tff(5563,plain,
% 33.27/21.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB31) | v130(constB31, bitIndex2) | (~v127(constB31, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB31, bitIndex2)) | v26(constB31) | v130(constB31, bitIndex2))),
% 33.27/21.92 inference(transitivity,[status(thm)],[5562, 5560])).
% 33.27/21.92 tff(5564,plain,
% 33.27/21.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB31) | v130(constB31, bitIndex2) | (~v127(constB31, bitIndex2)))),
% 33.27/21.92 inference(quant_inst,[status(thm)],[])).
% 33.27/21.92 tff(5565,plain,
% 33.27/21.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB31, bitIndex2)) | v26(constB31) | v130(constB31, bitIndex2)),
% 33.27/21.92 inference(modus_ponens,[status(thm)],[5564, 5563])).
% 33.27/21.92 tff(5566,plain,
% 33.27/21.92 ((~v127(constB31, bitIndex2)) | v130(constB31, bitIndex2)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5565, 689, 5057])).
% 33.27/21.92 tff(5567,plain,
% 33.27/21.92 (v130(constB31, bitIndex2)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5566, 5559])).
% 33.27/21.92 tff(5568,plain,
% 33.27/21.92 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB31)) | (~v130(constB31, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB31)) | (~v130(constB31, bitIndex2)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5569,plain,
% 33.27/21.92 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB31)) | (~v130(constB31, bitIndex2)))),
% 33.27/21.92 inference(quant_inst,[status(thm)],[])).
% 33.27/21.92 tff(5570,plain,
% 33.27/21.92 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB31)) | (~v130(constB31, bitIndex2))),
% 33.27/21.92 inference(modus_ponens,[status(thm)],[5569, 5568])).
% 33.27/21.92 tff(5571,plain,
% 33.27/21.92 (~v119(constB31)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5570, 675, 5567])).
% 33.27/21.92 tff(5572,assumption,(v90(constB32, bitIndex1)), introduced(assumption)).
% 33.27/21.92 tff(5573,plain,
% 33.27/21.92 (v129(constB32, bitIndex1) | (~v100(constB32))),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5199, 814, 5572])).
% 33.27/21.92 tff(5574,plain,
% 33.27/21.92 (v129(constB32, bitIndex1)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5573, 5399])).
% 33.27/21.92 tff(5575,plain,
% 33.27/21.92 (v127(constB31, bitIndex1)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5072, 5574])).
% 33.27/21.92 tff(5576,plain,
% 33.27/21.92 (v130(constB31, bitIndex1)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5064, 5575])).
% 33.27/21.92 tff(5577,plain,
% 33.27/21.92 (v129(constB32, bitIndex0) | (~v100(constB32))),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5233, 1215, 5398])).
% 33.27/21.92 tff(5578,plain,
% 33.27/21.92 (v129(constB32, bitIndex0)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5577, 5399])).
% 33.27/21.92 tff(5579,plain,
% 33.27/21.92 (v127(constB31, bitIndex0)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5226, 5578])).
% 33.27/21.92 tff(5580,plain,
% 33.27/21.92 ((~v127(constB31, bitIndex0)) | v130(constB31, bitIndex0)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5220, 1182, 5057])).
% 33.27/21.92 tff(5581,plain,
% 33.27/21.92 (v130(constB31, bitIndex0)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5580, 5579])).
% 33.27/21.92 tff(5582,plain,
% 33.27/21.92 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB31)) | (~v130(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB31)) | (~v130(constB31, bitIndex0)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5583,plain,
% 33.27/21.92 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB31)) | (~v130(constB31, bitIndex0)))),
% 33.27/21.92 inference(quant_inst,[status(thm)],[])).
% 33.27/21.92 tff(5584,plain,
% 33.27/21.92 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB31)) | (~v130(constB31, bitIndex0))),
% 33.27/21.92 inference(modus_ponens,[status(thm)],[5583, 5582])).
% 33.27/21.92 tff(5585,plain,
% 33.27/21.92 (~v120(constB31)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5584, 1168, 5581])).
% 33.27/21.92 tff(5586,plain,
% 33.27/21.92 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB31)) | (~v130(constB31, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB31)) | (~v130(constB31, bitIndex2)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5587,plain,
% 33.27/21.92 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB31)) | (~v130(constB31, bitIndex2)))),
% 33.27/21.92 inference(quant_inst,[status(thm)],[])).
% 33.27/21.92 tff(5588,plain,
% 33.27/21.92 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB31)) | (~v130(constB31, bitIndex2))),
% 33.27/21.92 inference(modus_ponens,[status(thm)],[5587, 5586])).
% 33.27/21.92 tff(5589,plain,
% 33.27/21.92 (~v121(constB31)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5588, 1342, 5567])).
% 33.27/21.92 tff(5590,plain,
% 33.27/21.92 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB31)) | (~v130(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB31)) | (~v130(constB31, bitIndex0)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5591,plain,
% 33.27/21.92 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB31)) | (~v130(constB31, bitIndex0)))),
% 33.27/21.92 inference(quant_inst,[status(thm)],[])).
% 33.27/21.92 tff(5592,plain,
% 33.27/21.92 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB31)) | (~v130(constB31, bitIndex0))),
% 33.27/21.92 inference(modus_ponens,[status(thm)],[5591, 5590])).
% 33.27/21.92 tff(5593,plain,
% 33.27/21.92 (~v124(constB31)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5592, 2277, 5581])).
% 33.27/21.92 tff(5594,plain,
% 33.27/21.92 (~v122(constB31)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5213, 1721, 5581])).
% 33.27/21.92 tff(5595,plain,
% 33.27/21.92 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB31, bitIndex1)) | v123(constB31) | v121(constB31) | v119(constB31) | v124(constB31) | v120(constB31) | v122(constB31))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB31, bitIndex1)) | v123(constB31) | v121(constB31) | v119(constB31) | v124(constB31) | v120(constB31) | v122(constB31))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5596,plain,
% 33.27/21.92 ((v120(constB31) | v119(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, bitIndex1))) <=> ((~v130(constB31, bitIndex1)) | v123(constB31) | v121(constB31) | v119(constB31) | v124(constB31) | v120(constB31) | v122(constB31))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5597,plain,
% 33.27/21.92 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB31) | v119(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB31, bitIndex1)) | v123(constB31) | v121(constB31) | v119(constB31) | v124(constB31) | v120(constB31) | v122(constB31)))),
% 33.27/21.92 inference(monotonicity,[status(thm)],[5596])).
% 33.27/21.92 tff(5598,plain,
% 33.27/21.92 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB31) | v119(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB31, bitIndex1)) | v123(constB31) | v121(constB31) | v119(constB31) | v124(constB31) | v120(constB31) | v122(constB31))),
% 33.27/21.92 inference(transitivity,[status(thm)],[5597, 5595])).
% 33.27/21.92 tff(5599,plain,
% 33.27/21.92 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB31) | v119(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, bitIndex1)))),
% 33.27/21.92 inference(quant_inst,[status(thm)],[])).
% 33.27/21.92 tff(5600,plain,
% 33.27/21.92 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB31, bitIndex1)) | v123(constB31) | v121(constB31) | v119(constB31) | v124(constB31) | v120(constB31) | v122(constB31)),
% 33.27/21.92 inference(modus_ponens,[status(thm)],[5599, 5598])).
% 33.27/21.92 tff(5601,plain,
% 33.27/21.92 (v123(constB31)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5600, 2448, 5594, 5593, 5589, 5585, 5576, 5571])).
% 33.27/21.92 tff(5602,plain,
% 33.27/21.92 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB31)) | (~v130(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB31)) | (~v130(constB31, bitIndex1)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5603,plain,
% 33.27/21.92 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB31)) | (~v130(constB31, bitIndex1)))),
% 33.27/21.92 inference(quant_inst,[status(thm)],[])).
% 33.27/21.92 tff(5604,plain,
% 33.27/21.92 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB31)) | (~v130(constB31, bitIndex1))),
% 33.27/21.92 inference(modus_ponens,[status(thm)],[5603, 5602])).
% 33.27/21.92 tff(5605,plain,
% 33.27/21.92 ($false),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5604, 1909, 5576, 5601])).
% 33.27/21.92 tff(5606,plain,((~v100(constB32)) | (~v90(constB32, bitIndex1)) | (~v90(constB32, bitIndex2)) | (~v90(constB32, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 33.27/21.92 tff(5607,plain,
% 33.27/21.92 ($false),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5606, 5545, 5482, 5399, 5398])).
% 33.27/21.92 tff(5608,plain,(v100(constB34) | (~v100(constB32)) | (~v90(constB32, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 33.27/21.92 tff(5609,plain,
% 33.27/21.92 (~v100(constB32)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5608, 5397, 5275])).
% 33.27/21.92 tff(5610,plain,
% 33.27/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5611,plain,
% 33.27/21.92 (((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0))) <=> (v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5612,plain,
% 33.27/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0))))),
% 33.27/21.92 inference(monotonicity,[status(thm)],[5611])).
% 33.27/21.92 tff(5613,plain,
% 33.27/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 33.27/21.92 inference(transitivity,[status(thm)],[5612, 5610])).
% 33.27/21.92 tff(5614,plain,
% 33.27/21.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 33.27/21.92 inference(quant_inst,[status(thm)],[])).
% 33.27/21.92 tff(5615,plain,
% 33.27/21.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0))),
% 33.27/21.92 inference(modus_ponens,[status(thm)],[5614, 5613])).
% 33.27/21.92 tff(5616,plain,
% 33.27/21.92 (v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0))),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5615, 455, 5068])).
% 33.27/21.92 tff(5617,plain,
% 33.27/21.92 (v90(constB31, bitIndex0)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5616, 5609, 5397])).
% 33.27/21.92 tff(5618,plain,
% 33.27/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5619,plain,
% 33.27/21.92 (((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0))) <=> (v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5620,plain,
% 33.27/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0))))),
% 33.27/21.92 inference(monotonicity,[status(thm)],[5619])).
% 33.27/21.92 tff(5621,plain,
% 33.27/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 33.27/21.92 inference(transitivity,[status(thm)],[5620, 5618])).
% 33.27/21.92 tff(5622,plain,
% 33.27/21.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 33.27/21.92 inference(quant_inst,[status(thm)],[])).
% 33.27/21.92 tff(5623,plain,
% 33.27/21.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0))),
% 33.27/21.92 inference(modus_ponens,[status(thm)],[5622, 5621])).
% 33.27/21.92 tff(5624,plain,
% 33.27/21.92 (v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0))),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5623, 455, 4962])).
% 33.27/21.92 tff(5625,plain,
% 33.27/21.92 (v90(constB30, bitIndex0) | (~v90(constB31, bitIndex0))),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5624, 4974])).
% 33.27/21.92 tff(5626,plain,
% 33.27/21.92 (v90(constB30, bitIndex0)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5625, 5617])).
% 33.27/21.92 tff(5627,plain,
% 33.27/21.92 (~v120(constB33)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5459, 936, 5367])).
% 33.27/21.92 tff(5628,plain,
% 33.27/21.92 (v90(constB33, bitIndex2)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5455, 5396, 5627, 5420])).
% 33.27/21.92 tff(5629,plain,
% 33.27/21.92 (~v124(constB33)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5497, 2005, 5339])).
% 33.27/21.92 tff(5630,plain,
% 33.27/21.92 ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5532, 1994, 5629])).
% 33.27/21.92 tff(5631,plain,
% 33.27/21.92 (v90(constB33, bitIndex1)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5630, 5396, 5628])).
% 33.27/21.92 tff(5632,plain,
% 33.27/21.92 (v90(constB32, bitIndex1)),
% 33.27/21.92 inference(unit_resolution,[status(thm)],[5209, 5631])).
% 33.27/21.92 tff(5633,plain,
% 33.27/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB31, bitIndex1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB31, bitIndex1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex1)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5634,plain,
% 33.27/21.92 (((~nextState(constB31, constB32)) | v90(constB31, bitIndex1) | v100(constB32) | (~v90(constB32, bitIndex1))) <=> (v90(constB31, bitIndex1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex1)))),
% 33.27/21.92 inference(rewrite,[status(thm)],[])).
% 33.27/21.92 tff(5635,plain,
% 33.27/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex1) | v100(constB32) | (~v90(constB32, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB31, bitIndex1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex1))))),
% 33.27/21.92 inference(monotonicity,[status(thm)],[5634])).
% 33.27/21.92 tff(5636,plain,
% 33.27/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex1) | v100(constB32) | (~v90(constB32, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB31, bitIndex1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex1)))),
% 33.27/21.92 inference(transitivity,[status(thm)],[5635, 5633])).
% 33.27/21.92 tff(5637,plain,
% 33.27/21.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex1) | v100(constB32) | (~v90(constB32, bitIndex1)))),
% 33.33/21.92 inference(quant_inst,[status(thm)],[])).
% 33.33/21.92 tff(5638,plain,
% 33.33/21.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB31, bitIndex1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex1))),
% 33.33/21.92 inference(modus_ponens,[status(thm)],[5637, 5636])).
% 33.33/21.92 tff(5639,plain,
% 33.33/21.92 (v90(constB31, bitIndex1) | v100(constB32) | (~v90(constB32, bitIndex1))),
% 33.33/21.92 inference(unit_resolution,[status(thm)],[5638, 434, 5068])).
% 33.33/21.92 tff(5640,plain,
% 33.33/21.92 (v90(constB31, bitIndex1)),
% 33.33/21.92 inference(unit_resolution,[status(thm)],[5639, 5609, 5632])).
% 33.33/21.92 tff(5641,plain,
% 33.33/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex1)))),
% 33.33/21.92 inference(rewrite,[status(thm)],[])).
% 33.33/21.92 tff(5642,plain,
% 33.33/21.92 (((~nextState(constB30, constB31)) | v90(constB30, bitIndex1) | v100(constB31) | (~v90(constB31, bitIndex1))) <=> (v90(constB30, bitIndex1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex1)))),
% 33.33/21.92 inference(rewrite,[status(thm)],[])).
% 33.33/21.92 tff(5643,plain,
% 33.33/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex1) | v100(constB31) | (~v90(constB31, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex1))))),
% 33.33/21.92 inference(monotonicity,[status(thm)],[5642])).
% 33.33/21.92 tff(5644,plain,
% 33.33/21.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex1) | v100(constB31) | (~v90(constB31, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex1)))),
% 33.33/21.92 inference(transitivity,[status(thm)],[5643, 5641])).
% 33.33/21.92 tff(5645,plain,
% 33.33/21.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex1) | v100(constB31) | (~v90(constB31, bitIndex1)))),
% 33.33/21.92 inference(quant_inst,[status(thm)],[])).
% 33.33/21.92 tff(5646,plain,
% 33.33/21.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex1))),
% 33.33/21.92 inference(modus_ponens,[status(thm)],[5645, 5644])).
% 33.33/21.92 tff(5647,plain,
% 33.33/21.92 (v90(constB30, bitIndex1) | v100(constB31) | (~v90(constB31, bitIndex1))),
% 33.33/21.92 inference(unit_resolution,[status(thm)],[5646, 434, 4962])).
% 33.33/21.92 tff(5648,plain,
% 33.33/21.92 (v90(constB30, bitIndex1) | (~v90(constB31, bitIndex1))),
% 33.33/21.92 inference(unit_resolution,[status(thm)],[5647, 4974])).
% 33.33/21.92 tff(5649,plain,
% 33.33/21.92 (v90(constB30, bitIndex1)),
% 33.33/21.92 inference(unit_resolution,[status(thm)],[5648, 5640])).
% 33.33/21.92 tff(5650,assumption,(v120(constB27)), introduced(assumption)).
% 33.33/21.92 tff(5651,plain,
% 33.33/21.92 (v118(constB27)),
% 33.33/21.92 inference(unit_resolution,[status(thm)],[4390, 936, 5650])).
% 33.33/21.92 tff(5652,plain,
% 33.33/21.92 (v117(constB27)),
% 33.33/21.92 inference(unit_resolution,[status(thm)],[4394, 498, 5651])).
% 33.33/21.93 tff(5653,plain,
% 33.33/21.93 (v116(constB27)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4398, 509, 5652])).
% 33.33/21.93 tff(5654,plain,
% 33.33/21.93 (v115(constB27)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4402, 520, 5653])).
% 33.33/21.93 tff(5655,plain,
% 33.33/21.93 (v114(constB27)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4406, 531, 5654])).
% 33.33/21.93 tff(5656,plain,
% 33.33/21.93 (v113(constB27)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4410, 542, 5655])).
% 33.33/21.93 tff(5657,plain,
% 33.33/21.93 (v112(constB27)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4419, 5656])).
% 33.33/21.93 tff(5658,plain,
% 33.33/21.93 (v108(constB27)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4423, 568, 5657])).
% 33.33/21.93 tff(5659,plain,
% 33.33/21.93 (v110(constB28)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4434, 5658])).
% 33.33/21.93 tff(5660,plain,
% 33.33/21.93 (v100(constB28)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4466, 5659])).
% 33.33/21.93 tff(5661,plain,
% 33.33/21.93 (~v130(constB27, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4470, 1168, 5650])).
% 33.33/21.93 tff(5662,plain,
% 33.33/21.93 (~v127(constB27, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4486, 5661])).
% 33.33/21.93 tff(5663,plain,
% 33.33/21.93 (~v129(constB28, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4491, 5662])).
% 33.33/21.93 tff(5664,plain,
% 33.33/21.93 ((~v90(constB28, bitIndex0)) | (~v100(constB28))),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4498, 1215, 5663])).
% 33.33/21.93 tff(5665,plain,
% 33.33/21.93 (~v90(constB28, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5664, 5660])).
% 33.33/21.93 tff(5666,plain,
% 33.33/21.93 (~v130(constB27, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4503, 1025, 5650])).
% 33.33/21.93 tff(5667,plain,
% 33.33/21.93 (~v127(constB27, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4511, 5666])).
% 33.33/21.93 tff(5668,plain,
% 33.33/21.93 (~v129(constB28, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4516, 5667])).
% 33.33/21.93 tff(5669,plain,
% 33.33/21.93 ((~v90(constB28, bitIndex2)) | (~v100(constB28))),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4523, 722, 5668])).
% 33.33/21.93 tff(5670,plain,
% 33.33/21.93 (~v90(constB28, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5669, 5660])).
% 33.33/21.93 tff(5671,plain,
% 33.33/21.93 (v121(constB29)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4851, 5670, 5665])).
% 33.33/21.93 tff(5672,plain,
% 33.33/21.93 (v117(constB29)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4855, 1253, 5671])).
% 33.33/21.93 tff(5673,plain,
% 33.33/21.93 (v116(constB29)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4859, 509, 5672])).
% 33.33/21.93 tff(5674,plain,
% 33.33/21.93 (v115(constB29)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4863, 520, 5673])).
% 33.33/21.93 tff(5675,plain,
% 33.33/21.93 (v114(constB29)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4867, 531, 5674])).
% 33.33/21.93 tff(5676,plain,
% 33.33/21.93 (v113(constB29)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4871, 542, 5675])).
% 33.33/21.93 tff(5677,plain,
% 33.33/21.93 (v112(constB29)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4883, 5676])).
% 33.33/21.93 tff(5678,plain,
% 33.33/21.93 (v108(constB29)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4887, 568, 5677])).
% 33.33/21.93 tff(5679,plain,
% 33.33/21.93 (v110(constB30)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4898, 5678])).
% 33.33/21.93 tff(5680,plain,
% 33.33/21.93 (v100(constB30)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4930, 5679])).
% 33.33/21.93 tff(5681,plain,
% 33.33/21.93 (~v130(constB29, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4934, 1342, 5671])).
% 33.33/21.93 tff(5682,plain,
% 33.33/21.93 (~v127(constB29, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4942, 5681])).
% 33.33/21.93 tff(5683,plain,
% 33.33/21.93 (~v129(constB30, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4947, 5682])).
% 33.33/21.93 tff(5684,plain,
% 33.33/21.93 ((~v90(constB30, bitIndex2)) | (~v100(constB30))),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4954, 722, 5683])).
% 33.33/21.93 tff(5685,plain,
% 33.33/21.93 (~v90(constB30, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5684, 5680])).
% 33.33/21.93 tff(5686,plain,
% 33.33/21.93 (~v90(constB31, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4982, 5685])).
% 33.33/21.93 tff(5687,plain,
% 33.33/21.93 (v130(constB29, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5017, 1445, 5671])).
% 33.33/21.93 tff(5688,plain,
% 33.33/21.93 (v127(constB29, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5022, 5687])).
% 33.33/21.93 tff(5689,plain,
% 33.33/21.93 (v129(constB30, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5027, 5688])).
% 33.33/21.93 tff(5690,plain,
% 33.33/21.93 (v90(constB30, bitIndex0) | (~v100(constB30))),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5034, 885, 5689])).
% 33.33/21.93 tff(5691,plain,
% 33.33/21.93 (v90(constB30, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5690, 5680])).
% 33.33/21.93 tff(5692,plain,
% 33.33/21.93 (v90(constB31, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5044, 5691])).
% 33.33/21.93 tff(5693,plain,
% 33.33/21.93 (v130(constB29, bitIndex1)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4986, 1404, 5671])).
% 33.33/21.93 tff(5694,plain,
% 33.33/21.93 (v127(constB29, bitIndex1)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4991, 5693])).
% 33.33/21.93 tff(5695,plain,
% 33.33/21.93 (v129(constB30, bitIndex1)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4996, 5694])).
% 33.33/21.93 tff(5696,plain,
% 33.33/21.93 (v90(constB30, bitIndex1) | (~v100(constB30))),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5003, 1131, 5695])).
% 33.33/21.93 tff(5697,plain,
% 33.33/21.93 (v90(constB30, bitIndex1)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5696, 5680])).
% 33.33/21.93 tff(5698,plain,
% 33.33/21.93 (v90(constB31, bitIndex1)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5013, 5697])).
% 33.33/21.93 tff(5699,plain,
% 33.33/21.93 (~v90(constB29, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4834, 5665])).
% 33.33/21.93 tff(5700,assumption,(~v113(constB33)), introduced(assumption)).
% 33.33/21.93 tff(5701,plain,
% 33.33/21.93 (~v114(constB33)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5338, 542, 5700])).
% 33.33/21.93 tff(5702,plain,
% 33.33/21.93 (~v115(constB33)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5342, 531, 5701])).
% 33.33/21.93 tff(5703,plain,
% 33.33/21.93 (~v116(constB33)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5346, 520, 5702])).
% 33.33/21.93 tff(5704,plain,
% 33.33/21.93 (~v122(constB33)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5419, 1497, 5703])).
% 33.33/21.93 tff(5705,plain,
% 33.33/21.93 (~v117(constB33)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5350, 509, 5703])).
% 33.33/21.93 tff(5706,plain,
% 33.33/21.93 (~v118(constB33)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5366, 498, 5705])).
% 33.33/21.93 tff(5707,plain,
% 33.33/21.93 (~v120(constB33)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5459, 936, 5706])).
% 33.33/21.93 tff(5708,plain,
% 33.33/21.93 (~v121(constB33)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5354, 1253, 5705])).
% 33.33/21.93 tff(5709,plain,
% 33.33/21.93 (~v119(constB33)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5370, 487, 5706])).
% 33.33/21.93 tff(5710,plain,
% 33.33/21.93 (~v125(constB33)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5362, 2332, 5700])).
% 33.33/21.93 tff(5711,plain,
% 33.33/21.93 (~v123(constB33)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5358, 1776, 5702])).
% 33.33/21.93 tff(5712,plain,
% 33.33/21.93 (v90(constB33, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5395, 5711, 5710, 5709, 5708])).
% 33.33/21.93 tff(5713,plain,
% 33.33/21.93 (v90(constB33, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5455, 5712, 5707, 5704])).
% 33.33/21.93 tff(5714,plain,
% 33.33/21.93 (v90(constB32, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5481, 5713])).
% 33.33/21.93 tff(5715,plain,
% 33.33/21.93 (~v124(constB33)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5497, 2005, 5701])).
% 33.33/21.93 tff(5716,plain,
% 33.33/21.93 ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5532, 1994, 5715])).
% 33.33/21.93 tff(5717,plain,
% 33.33/21.93 (v90(constB33, bitIndex1)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5716, 5713, 5712])).
% 33.33/21.93 tff(5718,plain,
% 33.33/21.93 (v90(constB32, bitIndex1)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5209, 5717])).
% 33.33/21.93 tff(5719,plain,
% 33.33/21.93 (~v100(constB32)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5200, 5718])).
% 33.33/21.93 tff(5720,plain,
% 33.33/21.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5721,plain,
% 33.33/21.93 (((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2))) <=> (v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5722,plain,
% 33.33/21.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2))))),
% 33.33/21.93 inference(monotonicity,[status(thm)],[5721])).
% 33.33/21.93 tff(5723,plain,
% 33.33/21.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 33.33/21.93 inference(transitivity,[status(thm)],[5722, 5720])).
% 33.33/21.93 tff(5724,plain,
% 33.33/21.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 33.33/21.93 inference(quant_inst,[status(thm)],[])).
% 33.33/21.93 tff(5725,plain,
% 33.33/21.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2))),
% 33.33/21.93 inference(modus_ponens,[status(thm)],[5724, 5723])).
% 33.33/21.93 tff(5726,plain,
% 33.33/21.93 (v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2))),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5725, 413, 5068])).
% 33.33/21.93 tff(5727,plain,
% 33.33/21.93 (v90(constB31, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5726, 5719, 5714])).
% 33.33/21.93 tff(5728,plain,
% 33.33/21.93 (v90(constB30, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4982, 5727])).
% 33.33/21.93 tff(5729,assumption,(~v90(constB29, bitIndex0)), introduced(assumption)).
% 33.33/21.93 tff(5730,plain,
% 33.33/21.93 (v90(constB32, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5243, 5712])).
% 33.33/21.93 tff(5731,plain,
% 33.33/21.93 (v90(constB31, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5616, 5719, 5730])).
% 33.33/21.93 tff(5732,plain,
% 33.33/21.93 (v90(constB30, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5625, 5731])).
% 33.33/21.93 tff(5733,plain,
% 33.33/21.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5734,plain,
% 33.33/21.93 (((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0))) <=> (v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5735,plain,
% 33.33/21.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0))))),
% 33.33/21.93 inference(monotonicity,[status(thm)],[5734])).
% 33.33/21.93 tff(5736,plain,
% 33.33/21.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 33.33/21.93 inference(transitivity,[status(thm)],[5735, 5733])).
% 33.33/21.93 tff(5737,plain,
% 33.33/21.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 33.33/21.93 inference(quant_inst,[status(thm)],[])).
% 33.33/21.93 tff(5738,plain,
% 33.33/21.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0))),
% 33.33/21.93 inference(modus_ponens,[status(thm)],[5737, 5736])).
% 33.33/21.93 tff(5739,plain,
% 33.33/21.93 (v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0))),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5738, 455, 4891])).
% 33.33/21.93 tff(5740,plain,
% 33.33/21.93 (v100(constB30)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5739, 5732, 5729])).
% 33.33/21.93 tff(5741,plain,
% 33.33/21.93 (v129(constB30, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4954, 722, 5740, 5728])).
% 33.33/21.93 tff(5742,plain,
% 33.33/21.93 (v127(constB29, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4947, 5741])).
% 33.33/21.93 tff(5743,assumption,(~v130(constB29, bitIndex2)), introduced(assumption)).
% 33.33/21.93 tff(5744,plain,
% 33.33/21.93 ((~v127(constB29, bitIndex2)) | v26(constB29)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4941, 689, 5743])).
% 33.33/21.93 tff(5745,plain,
% 33.33/21.93 (v26(constB29)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5744, 5742])).
% 33.33/21.93 tff(5746,plain,
% 33.33/21.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5747,plain,
% 33.33/21.93 (((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0)) <=> ((~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5748,plain,
% 33.33/21.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30))))),
% 33.33/21.93 inference(monotonicity,[status(thm)],[5747])).
% 33.33/21.93 tff(5749,plain,
% 33.33/21.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))),
% 33.33/21.93 inference(transitivity,[status(thm)],[5748, 5746])).
% 33.33/21.93 tff(5750,plain,
% 33.33/21.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0))),
% 33.33/21.93 inference(quant_inst,[status(thm)],[])).
% 33.33/21.93 tff(5751,plain,
% 33.33/21.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30))),
% 33.33/21.93 inference(modus_ponens,[status(thm)],[5750, 5749])).
% 33.33/21.93 tff(5752,plain,
% 33.33/21.93 (v129(constB30, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5751, 1215, 5740, 5732])).
% 33.33/21.93 tff(5753,plain,
% 33.33/21.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0)))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5754,plain,
% 33.33/21.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0)))),
% 33.33/21.93 inference(quant_inst,[status(thm)],[])).
% 33.33/21.93 tff(5755,plain,
% 33.33/21.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0))),
% 33.33/21.93 inference(modus_ponens,[status(thm)],[5754, 5753])).
% 33.33/21.93 tff(5756,plain,
% 33.33/21.93 (v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0))),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5755, 1200, 4891])).
% 33.33/21.93 tff(5757,plain,
% 33.33/21.93 (v127(constB29, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5756, 5752])).
% 33.33/21.93 tff(5758,plain,
% 33.33/21.93 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB29)) | (~v127(constB29, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB29)) | (~v127(constB29, bitIndex0)))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5759,plain,
% 33.33/21.93 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB29)) | (~v127(constB29, bitIndex0)))),
% 33.33/21.93 inference(quant_inst,[status(thm)],[])).
% 33.33/21.93 tff(5760,plain,
% 33.33/21.93 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB29)) | (~v127(constB29, bitIndex0))),
% 33.33/21.93 inference(modus_ponens,[status(thm)],[5759, 5758])).
% 33.33/21.93 tff(5761,plain,
% 33.33/21.93 ($false),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5760, 3012, 5757, 5745])).
% 33.33/21.93 tff(5762,plain,(v113(constB33) | v130(constB29, bitIndex2) | v90(constB29, bitIndex0) | v129(constB32, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 33.33/21.93 tff(5763,plain,
% 33.33/21.93 (v129(constB32, bitIndex1)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5762, 5681, 5700, 5699])).
% 33.33/21.93 tff(5764,plain,
% 33.33/21.93 (v127(constB31, bitIndex1)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5072, 5763])).
% 33.33/21.93 tff(5765,plain,
% 33.33/21.93 (v130(constB31, bitIndex1)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5064, 5764])).
% 33.33/21.93 tff(5766,plain,
% 33.33/21.93 (~v122(constB31)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5052, 1677, 5765])).
% 33.33/21.93 tff(5767,plain,
% 33.33/21.93 ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5048, 1486, 5766])).
% 33.33/21.93 tff(5768,plain,
% 33.33/21.93 ($false),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5767, 5698, 5692, 5686])).
% 33.33/21.93 tff(5769,plain,((~v120(constB27)) | v113(constB33)), inference(lemma,lemma(discharge,[]))).
% 33.33/21.93 tff(5770,plain,
% 33.33/21.93 (~v120(constB27)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5769, 5335])).
% 33.33/21.93 tff(5771,plain,
% 33.33/21.93 (v90(constB32, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5481, 5628])).
% 33.33/21.93 tff(5772,plain,
% 33.33/21.93 (v90(constB31, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5726, 5609, 5771])).
% 33.33/21.93 tff(5773,plain,
% 33.33/21.93 (v90(constB30, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4982, 5772])).
% 33.33/21.93 tff(5774,assumption,(v90(constB30, bitIndex2)), introduced(assumption)).
% 33.33/21.93 tff(5775,plain,
% 33.33/21.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2)))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5776,plain,
% 33.33/21.93 (((~nextState(constB29, constB30)) | v90(constB29, bitIndex2) | v100(constB30) | (~v90(constB30, bitIndex2))) <=> (v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2)))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5777,plain,
% 33.33/21.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex2) | v100(constB30) | (~v90(constB30, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2))))),
% 33.33/21.93 inference(monotonicity,[status(thm)],[5776])).
% 33.33/21.93 tff(5778,plain,
% 33.33/21.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex2) | v100(constB30) | (~v90(constB30, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2)))),
% 33.33/21.93 inference(transitivity,[status(thm)],[5777, 5775])).
% 33.33/21.93 tff(5779,plain,
% 33.33/21.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex2) | v100(constB30) | (~v90(constB30, bitIndex2)))),
% 33.33/21.93 inference(quant_inst,[status(thm)],[])).
% 33.33/21.93 tff(5780,plain,
% 33.33/21.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2))),
% 33.33/21.93 inference(modus_ponens,[status(thm)],[5779, 5778])).
% 33.33/21.93 tff(5781,plain,
% 33.33/21.93 (v90(constB29, bitIndex2) | v100(constB30) | (~v90(constB30, bitIndex2))),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5780, 413, 4891])).
% 33.33/21.93 tff(5782,plain,
% 33.33/21.93 (v100(constB30)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5781, 4826, 5774])).
% 33.33/21.93 tff(5783,plain,
% 33.33/21.93 (v129(constB30, bitIndex2) | (~v100(constB30))),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4954, 722, 5774])).
% 33.33/21.93 tff(5784,plain,
% 33.33/21.93 (v129(constB30, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5783, 5782])).
% 33.33/21.93 tff(5785,plain,
% 33.33/21.93 (v127(constB29, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4947, 5784])).
% 33.33/21.93 tff(5786,plain,
% 33.33/21.93 (v130(constB29, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4942, 5785])).
% 33.33/21.93 tff(5787,plain,
% 33.33/21.93 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB29)) | (~v130(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB29)) | (~v130(constB29, bitIndex2)))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5788,plain,
% 33.33/21.93 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB29)) | (~v130(constB29, bitIndex2)))),
% 33.33/21.93 inference(quant_inst,[status(thm)],[])).
% 33.33/21.93 tff(5789,plain,
% 33.33/21.93 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB29)) | (~v130(constB29, bitIndex2))),
% 33.33/21.93 inference(modus_ponens,[status(thm)],[5788, 5787])).
% 33.33/21.93 tff(5790,plain,
% 33.33/21.93 (~v120(constB29)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5789, 1025, 5786])).
% 33.33/21.93 tff(5791,plain,
% 33.33/21.93 (~v121(constB29)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4934, 1342, 5786])).
% 33.33/21.93 tff(5792,assumption,(v90(constB30, bitIndex0)), introduced(assumption)).
% 33.33/21.93 tff(5793,plain,
% 33.33/21.93 (v129(constB30, bitIndex0) | (~v100(constB30))),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5751, 1215, 5792])).
% 33.33/21.93 tff(5794,plain,
% 33.33/21.93 (v129(constB30, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5793, 5782])).
% 33.33/21.93 tff(5795,plain,
% 33.33/21.93 (v127(constB29, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5756, 5794])).
% 33.33/21.93 tff(5796,plain,
% 33.33/21.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB29, bitIndex0)) | v26(constB29) | v130(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB29, bitIndex0)) | v26(constB29) | v130(constB29, bitIndex0))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5797,plain,
% 33.33/21.93 ((v26(constB29) | v130(constB29, bitIndex0) | (~v127(constB29, bitIndex0))) <=> ((~v127(constB29, bitIndex0)) | v26(constB29) | v130(constB29, bitIndex0))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5798,plain,
% 33.33/21.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB29) | v130(constB29, bitIndex0) | (~v127(constB29, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB29, bitIndex0)) | v26(constB29) | v130(constB29, bitIndex0)))),
% 33.33/21.93 inference(monotonicity,[status(thm)],[5797])).
% 33.33/21.93 tff(5799,plain,
% 33.33/21.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB29) | v130(constB29, bitIndex0) | (~v127(constB29, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB29, bitIndex0)) | v26(constB29) | v130(constB29, bitIndex0))),
% 33.33/21.93 inference(transitivity,[status(thm)],[5798, 5796])).
% 33.33/21.93 tff(5800,plain,
% 33.33/21.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB29) | v130(constB29, bitIndex0) | (~v127(constB29, bitIndex0)))),
% 33.33/21.93 inference(quant_inst,[status(thm)],[])).
% 33.33/21.93 tff(5801,plain,
% 33.33/21.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB29, bitIndex0)) | v26(constB29) | v130(constB29, bitIndex0)),
% 33.33/21.93 inference(modus_ponens,[status(thm)],[5800, 5799])).
% 33.33/21.93 tff(5802,plain,
% 33.33/21.93 ((~v127(constB29, bitIndex0)) | v130(constB29, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5801, 1182, 4876])).
% 33.33/21.93 tff(5803,plain,
% 33.33/21.93 (v130(constB29, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5802, 5795])).
% 33.33/21.93 tff(5804,plain,
% 33.33/21.93 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB29)) | (~v130(constB29, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB29)) | (~v130(constB29, bitIndex0)))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5805,plain,
% 33.33/21.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB29)) | (~v130(constB29, bitIndex0)))),
% 33.33/21.93 inference(quant_inst,[status(thm)],[])).
% 33.33/21.93 tff(5806,plain,
% 33.33/21.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB29)) | (~v130(constB29, bitIndex0))),
% 33.33/21.93 inference(modus_ponens,[status(thm)],[5805, 5804])).
% 33.33/21.93 tff(5807,plain,
% 33.33/21.93 (~v122(constB29)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5806, 1721, 5803])).
% 33.33/21.93 tff(5808,plain,
% 33.33/21.93 (v90(constB28, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[4851, 4526, 4836])).
% 33.33/21.93 tff(5809,plain,
% 33.33/21.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex0))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5810,plain,
% 33.33/21.93 (((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex0)) | v100(constB29) | v90(constB29, bitIndex0)) <=> ((~v90(constB28, bitIndex0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex0))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5811,plain,
% 33.33/21.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex0)) | v100(constB29) | v90(constB29, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex0)))),
% 33.33/21.93 inference(monotonicity,[status(thm)],[5810])).
% 33.33/21.93 tff(5812,plain,
% 33.33/21.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex0)) | v100(constB29) | v90(constB29, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex0))),
% 33.33/21.93 inference(transitivity,[status(thm)],[5811, 5809])).
% 33.33/21.93 tff(5813,plain,
% 33.33/21.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex0)) | v100(constB29) | v90(constB29, bitIndex0))),
% 33.33/21.93 inference(quant_inst,[status(thm)],[])).
% 33.33/21.93 tff(5814,plain,
% 33.33/21.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex0)),
% 33.33/21.93 inference(modus_ponens,[status(thm)],[5813, 5812])).
% 33.33/21.93 tff(5815,plain,
% 33.33/21.93 ((~v90(constB28, bitIndex0)) | v100(constB29) | v90(constB29, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5814, 903, 4805])).
% 33.33/21.93 tff(5816,plain,
% 33.33/21.93 ((~v90(constB28, bitIndex0)) | v90(constB29, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5815, 4817])).
% 33.33/21.93 tff(5817,plain,
% 33.33/21.93 (v90(constB29, bitIndex0)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5816, 5808])).
% 33.33/21.93 tff(5818,assumption,(~v122(constB29)), introduced(assumption)).
% 33.33/21.93 tff(5819,plain,
% 33.33/21.93 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v122(constB29))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v122(constB29))),
% 33.33/21.93 inference(rewrite,[status(thm)],[])).
% 33.33/21.93 tff(5820,plain,
% 33.33/21.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v122(constB29))),
% 33.33/21.93 inference(quant_inst,[status(thm)],[])).
% 33.33/21.93 tff(5821,plain,
% 33.33/21.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v122(constB29)),
% 33.33/21.93 inference(modus_ponens,[status(thm)],[5820, 5819])).
% 33.33/21.93 tff(5822,plain,
% 33.33/21.93 ((~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5821, 1486, 5818])).
% 33.33/21.93 tff(5823,plain,
% 33.33/21.93 (~v90(constB29, bitIndex1)),
% 33.33/21.93 inference(unit_resolution,[status(thm)],[5822, 5817, 4826])).
% 33.33/21.93 tff(5824,assumption,(~v120(constB29)), introduced(assumption)).
% 33.33/21.93 tff(5825,plain,
% 33.33/21.93 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2) | v120(constB29))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2) | v120(constB29))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5826,plain,
% 33.33/21.94 (((~v90(constB29, bitIndex0)) | v120(constB29) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2)) <=> ((~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2) | v120(constB29))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5827,plain,
% 33.33/21.94 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB29, bitIndex0)) | v120(constB29) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2) | v120(constB29)))),
% 33.33/21.94 inference(monotonicity,[status(thm)],[5826])).
% 33.33/21.94 tff(5828,plain,
% 33.33/21.94 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB29, bitIndex0)) | v120(constB29) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2) | v120(constB29))),
% 33.33/21.94 inference(transitivity,[status(thm)],[5827, 5825])).
% 33.33/21.94 tff(5829,plain,
% 33.33/21.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB29, bitIndex0)) | v120(constB29) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5830,plain,
% 33.33/21.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2) | v120(constB29)),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5829, 5828])).
% 33.33/21.94 tff(5831,plain,
% 33.33/21.94 ((~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5830, 922, 5824])).
% 33.33/21.94 tff(5832,plain,
% 33.33/21.94 ($false),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5831, 5823, 5817, 4826])).
% 33.33/21.94 tff(5833,plain,(v90(constB28, bitIndex2) | v120(constB29) | v122(constB29) | v121(constB29)), inference(lemma,lemma(discharge,[]))).
% 33.33/21.94 tff(5834,plain,
% 33.33/21.94 ($false),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5833, 5807, 5791, 4526, 5790])).
% 33.33/21.94 tff(5835,plain,(v90(constB28, bitIndex2) | (~v90(constB30, bitIndex0)) | (~v90(constB30, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 33.33/21.94 tff(5836,plain,
% 33.33/21.94 (v90(constB28, bitIndex2)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5835, 5773, 5626])).
% 33.33/21.94 tff(5837,assumption,(v90(constB28, bitIndex2)), introduced(assumption)).
% 33.33/21.94 tff(5838,assumption,(~v100(constB30)), introduced(assumption)).
% 33.33/21.94 tff(5839,plain,
% 33.33/21.94 (v90(constB29, bitIndex0)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5739, 5838, 5792])).
% 33.33/21.94 tff(5840,plain,
% 33.33/21.94 (v90(constB28, bitIndex0)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[4834, 5839])).
% 33.33/21.94 tff(5841,assumption,(v120(constB25)), introduced(assumption)).
% 33.33/21.94 tff(5842,plain,
% 33.33/21.94 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB25) | (~v120(constB25)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB25) | (~v120(constB25)))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5843,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB25) | (~v120(constB25)))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5844,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB25) | (~v120(constB25))),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5843, 5842])).
% 33.33/21.94 tff(5845,plain,
% 33.33/21.94 (v118(constB25)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5844, 936, 5841])).
% 33.33/21.94 tff(5846,plain,
% 33.33/21.94 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB25) | (~v118(constB25)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB25) | (~v118(constB25)))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5847,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB25) | (~v118(constB25)))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5848,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB25) | (~v118(constB25))),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5847, 5846])).
% 33.33/21.94 tff(5849,plain,
% 33.33/21.94 (v117(constB25)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5848, 498, 5845])).
% 33.33/21.94 tff(5850,plain,
% 33.33/21.94 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB25) | (~v117(constB25)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB25) | (~v117(constB25)))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5851,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB25) | (~v117(constB25)))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5852,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB25) | (~v117(constB25))),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5851, 5850])).
% 33.33/21.94 tff(5853,plain,
% 33.33/21.94 (v116(constB25)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5852, 509, 5849])).
% 33.33/21.94 tff(5854,plain,
% 33.33/21.94 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB25) | (~v116(constB25)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB25) | (~v116(constB25)))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5855,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB25) | (~v116(constB25)))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5856,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB25) | (~v116(constB25))),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5855, 5854])).
% 33.33/21.94 tff(5857,plain,
% 33.33/21.94 (v115(constB25)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5856, 520, 5853])).
% 33.33/21.94 tff(5858,plain,
% 33.33/21.94 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB25) | (~v115(constB25)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB25) | (~v115(constB25)))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5859,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB25) | (~v115(constB25)))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5860,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB25) | (~v115(constB25))),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5859, 5858])).
% 33.33/21.94 tff(5861,plain,
% 33.33/21.94 (v114(constB25)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5860, 531, 5857])).
% 33.33/21.94 tff(5862,plain,
% 33.33/21.94 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB25) | (~v114(constB25)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB25) | (~v114(constB25)))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5863,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB25) | (~v114(constB25)))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5864,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB25) | (~v114(constB25))),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 33.33/21.94 tff(5865,plain,
% 33.33/21.94 (v113(constB25)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5864, 542, 5861])).
% 33.33/21.94 tff(5866,plain,
% 33.33/21.94 (v112(constB25)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[4191, 5865])).
% 33.33/21.94 tff(5867,plain,
% 33.33/21.94 (v108(constB25)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[4195, 568, 5866])).
% 33.33/21.94 tff(5868,plain,
% 33.33/21.94 (v110(constB26)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[4206, 5867])).
% 33.33/21.94 tff(5869,plain,
% 33.33/21.94 (v100(constB26)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[4238, 5868])).
% 33.33/21.94 tff(5870,plain,
% 33.33/21.94 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB25)) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB25)) | (~v130(constB25, bitIndex2)))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5871,plain,
% 33.33/21.94 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB25)) | (~v130(constB25, bitIndex2)))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5872,plain,
% 33.33/21.94 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB25)) | (~v130(constB25, bitIndex2))),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5871, 5870])).
% 33.33/21.94 tff(5873,plain,
% 33.33/21.94 (~v130(constB25, bitIndex2)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5872, 1025, 5841])).
% 33.33/21.94 tff(5874,plain,
% 33.33/21.94 (~v127(constB25, bitIndex2)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[4262, 5873])).
% 33.33/21.94 tff(5875,plain,
% 33.33/21.94 (~v129(constB26, bitIndex2)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[4267, 5874])).
% 33.33/21.94 tff(5876,plain,
% 33.33/21.94 ((~v90(constB26, bitIndex2)) | (~v100(constB26))),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[4274, 722, 5875])).
% 33.33/21.94 tff(5877,plain,
% 33.33/21.94 (~v90(constB26, bitIndex2)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5876, 5869])).
% 33.33/21.94 tff(5878,plain,
% 33.33/21.94 (~v90(constB27, bitIndex2)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[4302, 5877])).
% 33.33/21.94 tff(5879,plain,
% 33.33/21.94 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB25)) | v130(constB25, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB25)) | v130(constB25, bitIndex1))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5880,plain,
% 33.33/21.94 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB25)) | v130(constB25, bitIndex1))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5881,plain,
% 33.33/21.94 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB25)) | v130(constB25, bitIndex1)),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5880, 5879])).
% 33.33/21.94 tff(5882,plain,
% 33.33/21.94 (v130(constB25, bitIndex1)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5881, 1087, 5841])).
% 33.33/21.94 tff(5883,plain,
% 33.33/21.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB25) | (~v130(constB25, bitIndex1)) | v127(constB25, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB25) | (~v130(constB25, bitIndex1)) | v127(constB25, bitIndex1))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5884,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB25) | (~v130(constB25, bitIndex1)) | v127(constB25, bitIndex1))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5885,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB25) | (~v130(constB25, bitIndex1)) | v127(constB25, bitIndex1)),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5884, 5883])).
% 33.33/21.94 tff(5886,plain,
% 33.33/21.94 ((~v130(constB25, bitIndex1)) | v127(constB25, bitIndex1)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5885, 1101, 4184])).
% 33.33/21.94 tff(5887,plain,
% 33.33/21.94 (v127(constB25, bitIndex1)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5886, 5882])).
% 33.33/21.94 tff(5888,plain,
% 33.33/21.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex1)) | v129(constB26, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex1)) | v129(constB26, bitIndex1))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5889,plain,
% 33.33/21.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex1)) | v129(constB26, bitIndex1))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5890,plain,
% 33.33/21.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex1)) | v129(constB26, bitIndex1)),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5889, 5888])).
% 33.33/21.94 tff(5891,plain,
% 33.33/21.94 ((~v127(constB25, bitIndex1)) | v129(constB26, bitIndex1)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5890, 1116, 4199])).
% 33.33/21.94 tff(5892,plain,
% 33.33/21.94 (v129(constB26, bitIndex1)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5891, 5887])).
% 33.33/21.94 tff(5893,plain,
% 33.33/21.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~v129(constB26, bitIndex1)) | (~v100(constB26)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~v129(constB26, bitIndex1)) | (~v100(constB26)))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5894,plain,
% 33.33/21.94 ((v90(constB26, bitIndex1) | (~v100(constB26)) | (~v129(constB26, bitIndex1))) <=> (v90(constB26, bitIndex1) | (~v129(constB26, bitIndex1)) | (~v100(constB26)))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5895,plain,
% 33.33/21.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~v100(constB26)) | (~v129(constB26, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~v129(constB26, bitIndex1)) | (~v100(constB26))))),
% 33.33/21.94 inference(monotonicity,[status(thm)],[5894])).
% 33.33/21.94 tff(5896,plain,
% 33.33/21.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~v100(constB26)) | (~v129(constB26, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~v129(constB26, bitIndex1)) | (~v100(constB26)))),
% 33.33/21.94 inference(transitivity,[status(thm)],[5895, 5893])).
% 33.33/21.94 tff(5897,plain,
% 33.33/21.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~v100(constB26)) | (~v129(constB26, bitIndex1)))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5898,plain,
% 33.33/21.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~v129(constB26, bitIndex1)) | (~v100(constB26))),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5897, 5896])).
% 33.33/21.94 tff(5899,plain,
% 33.33/21.94 (v90(constB26, bitIndex1) | (~v100(constB26))),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5898, 1131, 5892])).
% 33.33/21.94 tff(5900,plain,
% 33.33/21.94 (v90(constB26, bitIndex1)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5899, 5869])).
% 33.33/21.94 tff(5901,plain,
% 33.33/21.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex1))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5902,plain,
% 33.33/21.94 (((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex1)) | v100(constB27) | v90(constB27, bitIndex1)) <=> ((~v90(constB26, bitIndex1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex1))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5903,plain,
% 33.33/21.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex1)) | v100(constB27) | v90(constB27, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex1)))),
% 33.33/21.94 inference(monotonicity,[status(thm)],[5902])).
% 33.33/21.94 tff(5904,plain,
% 33.33/21.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex1)) | v100(constB27) | v90(constB27, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex1))),
% 33.33/21.94 inference(transitivity,[status(thm)],[5903, 5901])).
% 33.33/21.94 tff(5905,plain,
% 33.33/21.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex1)) | v100(constB27) | v90(constB27, bitIndex1))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5906,plain,
% 33.33/21.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex1)),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5905, 5904])).
% 33.33/21.94 tff(5907,plain,
% 33.33/21.94 ((~v90(constB26, bitIndex1)) | v100(constB27) | v90(constB27, bitIndex1)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5906, 1149, 4282])).
% 33.33/21.94 tff(5908,plain,
% 33.33/21.94 ((~v90(constB26, bitIndex1)) | v90(constB27, bitIndex1)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5907, 4294])).
% 33.33/21.94 tff(5909,plain,
% 33.33/21.94 (v90(constB27, bitIndex1)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5908, 5900])).
% 33.33/21.94 tff(5910,plain,
% 33.33/21.94 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB25)) | (~v130(constB25, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB25)) | (~v130(constB25, bitIndex0)))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5911,plain,
% 33.33/21.94 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB25)) | (~v130(constB25, bitIndex0)))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5912,plain,
% 33.33/21.94 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB25)) | (~v130(constB25, bitIndex0))),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5911, 5910])).
% 33.33/21.94 tff(5913,plain,
% 33.33/21.94 (~v130(constB25, bitIndex0)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5912, 1168, 5841])).
% 33.33/21.94 tff(5914,plain,
% 33.33/21.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5915,plain,
% 33.33/21.94 ((v26(constB25) | v130(constB25, bitIndex0) | (~v127(constB25, bitIndex0))) <=> ((~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5916,plain,
% 33.33/21.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB25) | v130(constB25, bitIndex0) | (~v127(constB25, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0)))),
% 33.33/21.94 inference(monotonicity,[status(thm)],[5915])).
% 33.33/21.94 tff(5917,plain,
% 33.33/21.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB25) | v130(constB25, bitIndex0) | (~v127(constB25, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0))),
% 33.33/21.94 inference(transitivity,[status(thm)],[5916, 5914])).
% 33.33/21.94 tff(5918,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB25) | v130(constB25, bitIndex0) | (~v127(constB25, bitIndex0)))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5919,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0)),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5918, 5917])).
% 33.33/21.94 tff(5920,plain,
% 33.33/21.94 ((~v127(constB25, bitIndex0)) | v130(constB25, bitIndex0)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5919, 1182, 4184])).
% 33.33/21.94 tff(5921,plain,
% 33.33/21.94 (~v127(constB25, bitIndex0)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5920, 5913])).
% 33.33/21.94 tff(5922,plain,
% 33.33/21.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex0) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex0) | (~v129(constB26, bitIndex0)))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5923,plain,
% 33.33/21.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex0) | (~v129(constB26, bitIndex0)))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5924,plain,
% 33.33/21.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex0) | (~v129(constB26, bitIndex0))),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5923, 5922])).
% 33.33/21.94 tff(5925,plain,
% 33.33/21.94 (v127(constB25, bitIndex0) | (~v129(constB26, bitIndex0))),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5924, 1200, 4199])).
% 33.33/21.94 tff(5926,plain,
% 33.33/21.94 (~v129(constB26, bitIndex0)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5925, 5921])).
% 33.33/21.94 tff(5927,plain,
% 33.33/21.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | v129(constB26, bitIndex0) | (~v100(constB26)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | v129(constB26, bitIndex0) | (~v100(constB26)))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5928,plain,
% 33.33/21.94 (((~v90(constB26, bitIndex0)) | (~v100(constB26)) | v129(constB26, bitIndex0)) <=> ((~v90(constB26, bitIndex0)) | v129(constB26, bitIndex0) | (~v100(constB26)))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5929,plain,
% 33.33/21.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~v100(constB26)) | v129(constB26, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | v129(constB26, bitIndex0) | (~v100(constB26))))),
% 33.33/21.94 inference(monotonicity,[status(thm)],[5928])).
% 33.33/21.94 tff(5930,plain,
% 33.33/21.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~v100(constB26)) | v129(constB26, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | v129(constB26, bitIndex0) | (~v100(constB26)))),
% 33.33/21.94 inference(transitivity,[status(thm)],[5929, 5927])).
% 33.33/21.94 tff(5931,plain,
% 33.33/21.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~v100(constB26)) | v129(constB26, bitIndex0))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5932,plain,
% 33.33/21.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | v129(constB26, bitIndex0) | (~v100(constB26))),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5931, 5930])).
% 33.33/21.94 tff(5933,plain,
% 33.33/21.94 ((~v90(constB26, bitIndex0)) | (~v100(constB26))),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5932, 1215, 5926])).
% 33.33/21.94 tff(5934,plain,
% 33.33/21.94 (~v90(constB26, bitIndex0)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5933, 5869])).
% 33.33/21.94 tff(5935,plain,
% 33.33/21.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0)))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5936,plain,
% 33.33/21.94 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0))) <=> (v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0)))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5937,plain,
% 33.33/21.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0))))),
% 33.33/21.94 inference(monotonicity,[status(thm)],[5936])).
% 33.33/21.94 tff(5938,plain,
% 33.33/21.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0)))),
% 33.33/21.94 inference(transitivity,[status(thm)],[5937, 5935])).
% 33.33/21.94 tff(5939,plain,
% 33.33/21.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0)))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5940,plain,
% 33.33/21.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0))),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5939, 5938])).
% 33.33/21.94 tff(5941,plain,
% 33.33/21.94 (v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0))),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5940, 455, 4282])).
% 33.33/21.94 tff(5942,plain,
% 33.33/21.94 (v90(constB26, bitIndex0) | (~v90(constB27, bitIndex0))),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5941, 4294])).
% 33.33/21.94 tff(5943,plain,
% 33.33/21.94 (~v90(constB27, bitIndex0)),
% 33.33/21.94 inference(unit_resolution,[status(thm)],[5942, 5934])).
% 33.33/21.94 tff(5944,plain,
% 33.33/21.94 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27))),
% 33.33/21.94 inference(rewrite,[status(thm)],[])).
% 33.33/21.94 tff(5945,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27))),
% 33.33/21.94 inference(quant_inst,[status(thm)],[])).
% 33.33/21.94 tff(5946,plain,
% 33.33/21.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27)),
% 33.33/21.94 inference(modus_ponens,[status(thm)],[5945, 5944])).
% 33.33/21.94 tff(5947,plain,
% 33.33/21.94 (v121(constB27)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5946, 1242, 5943, 5909, 5878])).
% 33.33/21.95 tff(5948,assumption,(v90(constB28, bitIndex0)), introduced(assumption)).
% 33.33/21.95 tff(5949,plain,
% 33.33/21.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(5950,plain,
% 33.33/21.95 (((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0))) <=> (v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(5951,plain,
% 33.33/21.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0))))),
% 33.33/21.95 inference(monotonicity,[status(thm)],[5950])).
% 33.33/21.95 tff(5952,plain,
% 33.33/21.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 33.33/21.95 inference(transitivity,[status(thm)],[5951, 5949])).
% 33.33/21.95 tff(5953,plain,
% 33.33/21.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(5954,plain,
% 33.33/21.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[5953, 5952])).
% 33.33/21.95 tff(5955,plain,
% 33.33/21.95 (v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0))),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5954, 455, 4427])).
% 33.33/21.95 tff(5956,plain,
% 33.33/21.95 (v100(constB28)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5955, 5943, 5948])).
% 33.33/21.95 tff(5957,plain,
% 33.33/21.95 (v129(constB28, bitIndex2) | (~v100(constB28))),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4523, 722, 5837])).
% 33.33/21.95 tff(5958,plain,
% 33.33/21.95 (v129(constB28, bitIndex2)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5957, 5956])).
% 33.33/21.95 tff(5959,plain,
% 33.33/21.95 (v127(constB27, bitIndex2)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4516, 5958])).
% 33.33/21.95 tff(5960,plain,
% 33.33/21.95 (v130(constB27, bitIndex2)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4511, 5959])).
% 33.33/21.95 tff(5961,plain,
% 33.33/21.95 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB27)) | (~v130(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB27)) | (~v130(constB27, bitIndex2)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(5962,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB27)) | (~v130(constB27, bitIndex2)))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(5963,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB27)) | (~v130(constB27, bitIndex2))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[5962, 5961])).
% 33.33/21.95 tff(5964,plain,
% 33.33/21.95 ($false),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5963, 1342, 5960, 5947])).
% 33.33/21.95 tff(5965,plain,((~v120(constB25)) | (~v90(constB28, bitIndex2)) | (~v90(constB28, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 33.33/21.95 tff(5966,plain,
% 33.33/21.95 (~v120(constB25)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5965, 5840, 5837])).
% 33.33/21.95 tff(5967,plain,
% 33.33/21.95 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))))),
% 33.33/21.95 inference(bind,[status(th)],[])).
% 33.33/21.95 tff(5968,plain,
% 33.33/21.95 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 33.33/21.95 inference(quant_intro,[status(thm)],[5967])).
% 33.33/21.95 tff(5969,plain,
% 33.33/21.95 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(5970,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_4')).
% 33.33/21.95 tff(5971,plain,
% 33.33/21.95 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[5970, 5969])).
% 33.33/21.95 tff(5972,plain,(
% 33.33/21.95 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 33.33/21.95 inference(skolemize,[status(sab)],[5971])).
% 33.33/21.95 tff(5973,plain,
% 33.33/21.95 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[5972, 5968])).
% 33.33/21.95 tff(5974,plain,
% 33.33/21.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | ((~v90(constB28, bitIndex0)) | (~v125(constB28)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | (~v90(constB28, bitIndex0)) | (~v125(constB28)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(5975,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | ((~v90(constB28, bitIndex0)) | (~v125(constB28)))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(5976,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | (~v90(constB28, bitIndex0)) | (~v125(constB28))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[5975, 5974])).
% 33.33/21.95 tff(5977,plain,
% 33.33/21.95 (~v125(constB28)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5976, 5973, 5840])).
% 33.33/21.95 tff(5978,plain,
% 33.33/21.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB28, bitIndex2)) | (~v121(constB28)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB28, bitIndex2)) | (~v121(constB28)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(5979,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB28, bitIndex2)) | (~v121(constB28)))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(5980,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB28, bitIndex2)) | (~v121(constB28))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[5979, 5978])).
% 33.33/21.95 tff(5981,plain,
% 33.33/21.95 (~v121(constB28)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5980, 2216, 5837])).
% 33.33/21.95 tff(5982,plain,
% 33.33/21.95 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))))),
% 33.33/21.95 inference(bind,[status(th)],[])).
% 33.33/21.95 tff(5983,plain,
% 33.33/21.95 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 33.33/21.95 inference(quant_intro,[status(thm)],[5982])).
% 33.33/21.95 tff(5984,plain,
% 33.33/21.95 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(5985,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_4')).
% 33.33/21.95 tff(5986,plain,
% 33.33/21.95 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[5985, 5984])).
% 33.33/21.95 tff(5987,plain,(
% 33.33/21.95 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 33.33/21.95 inference(skolemize,[status(sab)],[5986])).
% 33.33/21.95 tff(5988,plain,
% 33.33/21.95 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[5987, 5983])).
% 33.33/21.95 tff(5989,plain,
% 33.33/21.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB28, bitIndex0)) | (~v123(constB28)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB28, bitIndex0)) | (~v123(constB28)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(5990,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB28, bitIndex0)) | (~v123(constB28)))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(5991,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB28, bitIndex0)) | (~v123(constB28))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[5990, 5989])).
% 33.33/21.95 tff(5992,plain,
% 33.33/21.95 (~v123(constB28)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5991, 5988, 5840])).
% 33.33/21.95 tff(5993,plain,
% 33.33/21.95 (v127(constB27, bitIndex0) | v121(constB28) | v125(constB28) | v123(constB28)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4742, 4415])).
% 33.33/21.95 tff(5994,plain,
% 33.33/21.95 (v127(constB27, bitIndex0)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5993, 5992, 5981, 5977])).
% 33.33/21.95 tff(5995,plain,
% 33.33/21.95 (v130(constB27, bitIndex0)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4486, 5994])).
% 33.33/21.95 tff(5996,plain,
% 33.33/21.95 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB27)) | (~v130(constB27, bitIndex0)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(5997,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB27)) | (~v130(constB27, bitIndex0)))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(5998,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB27)) | (~v130(constB27, bitIndex0))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[5997, 5996])).
% 33.33/21.95 tff(5999,plain,
% 33.33/21.95 (~v122(constB27)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5998, 1721, 5995])).
% 33.33/21.95 tff(6000,assumption,(v121(constB25)), introduced(assumption)).
% 33.33/21.95 tff(6001,plain,
% 33.33/21.95 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB25) | (~v121(constB25)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB25) | (~v121(constB25)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6002,plain,
% 33.33/21.95 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB25) | (~v121(constB25)))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6003,plain,
% 33.33/21.95 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB25) | (~v121(constB25))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6002, 6001])).
% 33.33/21.95 tff(6004,plain,
% 33.33/21.95 (v117(constB25)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6003, 1253, 6000])).
% 33.33/21.95 tff(6005,plain,
% 33.33/21.95 (v116(constB25)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5852, 509, 6004])).
% 33.33/21.95 tff(6006,plain,
% 33.33/21.95 (v115(constB25)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5856, 520, 6005])).
% 33.33/21.95 tff(6007,plain,
% 33.33/21.95 (v114(constB25)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5860, 531, 6006])).
% 33.33/21.95 tff(6008,plain,
% 33.33/21.95 (v113(constB25)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5864, 542, 6007])).
% 33.33/21.95 tff(6009,plain,
% 33.33/21.95 (v112(constB25)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4191, 6008])).
% 33.33/21.95 tff(6010,plain,
% 33.33/21.95 (v108(constB25)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4195, 568, 6009])).
% 33.33/21.95 tff(6011,plain,
% 33.33/21.95 (v110(constB26)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4206, 6010])).
% 33.33/21.95 tff(6012,plain,
% 33.33/21.95 (v100(constB26)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4238, 6011])).
% 33.33/21.95 tff(6013,plain,
% 33.33/21.95 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v130(constB25, bitIndex2)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6014,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v130(constB25, bitIndex2)))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6015,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v130(constB25, bitIndex2))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6014, 6013])).
% 33.33/21.95 tff(6016,plain,
% 33.33/21.95 (~v130(constB25, bitIndex2)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6015, 1342, 6000])).
% 33.33/21.95 tff(6017,plain,
% 33.33/21.95 (~v127(constB25, bitIndex2)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4262, 6016])).
% 33.33/21.95 tff(6018,plain,
% 33.33/21.95 (~v129(constB26, bitIndex2)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4267, 6017])).
% 33.33/21.95 tff(6019,plain,
% 33.33/21.95 ((~v90(constB26, bitIndex2)) | (~v100(constB26))),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4274, 722, 6018])).
% 33.33/21.95 tff(6020,plain,
% 33.33/21.95 (~v90(constB26, bitIndex2)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6019, 6012])).
% 33.33/21.95 tff(6021,plain,
% 33.33/21.95 (~v90(constB27, bitIndex2)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4302, 6020])).
% 33.33/21.95 tff(6022,plain,
% 33.33/21.95 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB25)) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB25)) | v130(constB25, bitIndex0))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6023,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB25)) | v130(constB25, bitIndex0))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6024,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB25)) | v130(constB25, bitIndex0)),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6023, 6022])).
% 33.33/21.95 tff(6025,plain,
% 33.33/21.95 (v130(constB25, bitIndex0)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6024, 1445, 6000])).
% 33.33/21.95 tff(6026,plain,
% 33.33/21.95 (v127(constB25, bitIndex0)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4315, 6025])).
% 33.33/21.95 tff(6027,plain,
% 33.33/21.95 (v129(constB26, bitIndex0)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4320, 6026])).
% 33.33/21.95 tff(6028,plain,
% 33.33/21.95 (v90(constB26, bitIndex0) | (~v100(constB26))),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4327, 885, 6027])).
% 33.33/21.95 tff(6029,plain,
% 33.33/21.95 (v90(constB26, bitIndex0)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6028, 6012])).
% 33.33/21.95 tff(6030,plain,
% 33.33/21.95 (v90(constB27, bitIndex0)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4337, 6029])).
% 33.33/21.95 tff(6031,plain,
% 33.33/21.95 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB25)) | v130(constB25, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB25)) | v130(constB25, bitIndex1))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6032,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB25)) | v130(constB25, bitIndex1))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6033,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB25)) | v130(constB25, bitIndex1)),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6032, 6031])).
% 33.33/21.95 tff(6034,plain,
% 33.33/21.95 (v130(constB25, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6033, 1404, 6000])).
% 33.33/21.95 tff(6035,plain,
% 33.33/21.95 (v127(constB25, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5886, 6034])).
% 33.33/21.95 tff(6036,plain,
% 33.33/21.95 (v129(constB26, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5891, 6035])).
% 33.33/21.95 tff(6037,plain,
% 33.33/21.95 (v90(constB26, bitIndex1) | (~v100(constB26))),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5898, 1131, 6036])).
% 33.33/21.95 tff(6038,plain,
% 33.33/21.95 (v90(constB26, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6037, 6012])).
% 33.33/21.95 tff(6039,plain,
% 33.33/21.95 (v90(constB27, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5908, 6038])).
% 33.33/21.95 tff(6040,assumption,(~v122(constB27)), introduced(assumption)).
% 33.33/21.95 tff(6041,plain,
% 33.33/21.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6042,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6043,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27)),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6042, 6041])).
% 33.33/21.95 tff(6044,plain,
% 33.33/21.95 ((~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6043, 1486, 6040])).
% 33.33/21.95 tff(6045,plain,
% 33.33/21.95 ($false),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6044, 6039, 6030, 6021])).
% 33.33/21.95 tff(6046,plain,((~v121(constB25)) | v122(constB27)), inference(lemma,lemma(discharge,[]))).
% 33.33/21.95 tff(6047,plain,
% 33.33/21.95 (~v121(constB25)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6046, 5999])).
% 33.33/21.95 tff(6048,assumption,(v90(constB30, bitIndex1)), introduced(assumption)).
% 33.33/21.95 tff(6049,plain,
% 33.33/21.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6050,plain,
% 33.33/21.95 (((~nextState(constB29, constB30)) | v90(constB29, bitIndex1) | v100(constB30) | (~v90(constB30, bitIndex1))) <=> (v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6051,plain,
% 33.33/21.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex1) | v100(constB30) | (~v90(constB30, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1))))),
% 33.33/21.95 inference(monotonicity,[status(thm)],[6050])).
% 33.33/21.95 tff(6052,plain,
% 33.33/21.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex1) | v100(constB30) | (~v90(constB30, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1)))),
% 33.33/21.95 inference(transitivity,[status(thm)],[6051, 6049])).
% 33.33/21.95 tff(6053,plain,
% 33.33/21.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex1) | v100(constB30) | (~v90(constB30, bitIndex1)))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6054,plain,
% 33.33/21.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6053, 6052])).
% 33.33/21.95 tff(6055,plain,
% 33.33/21.95 (v90(constB29, bitIndex1) | v100(constB30) | (~v90(constB30, bitIndex1))),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6054, 434, 4891])).
% 33.33/21.95 tff(6056,plain,
% 33.33/21.95 (v90(constB29, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6055, 5838, 6048])).
% 33.33/21.95 tff(6057,plain,
% 33.33/21.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex1)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6058,plain,
% 33.33/21.95 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex1) | v100(constB29) | (~v90(constB29, bitIndex1))) <=> (v90(constB28, bitIndex1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex1)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6059,plain,
% 33.33/21.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex1) | v100(constB29) | (~v90(constB29, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex1))))),
% 33.33/21.95 inference(monotonicity,[status(thm)],[6058])).
% 33.33/21.95 tff(6060,plain,
% 33.33/21.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex1) | v100(constB29) | (~v90(constB29, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex1)))),
% 33.33/21.95 inference(transitivity,[status(thm)],[6059, 6057])).
% 33.33/21.95 tff(6061,plain,
% 33.33/21.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex1) | v100(constB29) | (~v90(constB29, bitIndex1)))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6062,plain,
% 33.33/21.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex1))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6061, 6060])).
% 33.33/21.95 tff(6063,plain,
% 33.33/21.95 (v90(constB28, bitIndex1) | v100(constB29) | (~v90(constB29, bitIndex1))),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6062, 434, 4805])).
% 33.33/21.95 tff(6064,plain,
% 33.33/21.95 (v90(constB28, bitIndex1) | (~v90(constB29, bitIndex1))),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6063, 4817])).
% 33.33/21.95 tff(6065,plain,
% 33.33/21.95 (v90(constB28, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6064, 6056])).
% 33.33/21.95 tff(6066,assumption,(v124(constB25)), introduced(assumption)).
% 33.33/21.95 tff(6067,plain,
% 33.33/21.95 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB25) | (~v124(constB25)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB25) | (~v124(constB25)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6068,plain,
% 33.33/21.95 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB25) | (~v124(constB25)))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6069,plain,
% 33.33/21.95 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB25) | (~v124(constB25))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6068, 6067])).
% 33.33/21.95 tff(6070,plain,
% 33.33/21.95 (v114(constB25)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6069, 2005, 6066])).
% 33.33/21.95 tff(6071,plain,
% 33.33/21.95 (v113(constB25)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5864, 542, 6070])).
% 33.33/21.95 tff(6072,plain,
% 33.33/21.95 (v112(constB25)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4191, 6071])).
% 33.33/21.95 tff(6073,plain,
% 33.33/21.95 (v108(constB25)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4195, 568, 6072])).
% 33.33/21.95 tff(6074,plain,
% 33.33/21.95 (v110(constB26)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4206, 6073])).
% 33.33/21.95 tff(6075,plain,
% 33.33/21.95 (v100(constB26)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4238, 6074])).
% 33.33/21.95 tff(6076,plain,
% 33.33/21.95 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB25)) | v130(constB25, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB25)) | v130(constB25, bitIndex1))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6077,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB25)) | v130(constB25, bitIndex1))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6078,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB25)) | v130(constB25, bitIndex1)),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6077, 6076])).
% 33.33/21.95 tff(6079,plain,
% 33.33/21.95 (v130(constB25, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6078, 2145, 6066])).
% 33.33/21.95 tff(6080,plain,
% 33.33/21.95 (v127(constB25, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5886, 6079])).
% 33.33/21.95 tff(6081,plain,
% 33.33/21.95 (v129(constB26, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5891, 6080])).
% 33.33/21.95 tff(6082,plain,
% 33.33/21.95 (v90(constB26, bitIndex1) | (~v100(constB26))),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5898, 1131, 6081])).
% 33.33/21.95 tff(6083,plain,
% 33.33/21.95 (v90(constB26, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6082, 6075])).
% 33.33/21.95 tff(6084,plain,
% 33.33/21.95 (v90(constB27, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5908, 6083])).
% 33.33/21.95 tff(6085,plain,
% 33.33/21.95 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB27)) | (~v90(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB27)) | (~v90(constB27, bitIndex1)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6086,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB27)) | (~v90(constB27, bitIndex1)))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6087,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB27)) | (~v90(constB27, bitIndex1))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6086, 6085])).
% 33.33/21.95 tff(6088,plain,
% 33.33/21.95 (~v119(constB27)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6087, 2230, 6084])).
% 33.33/21.95 tff(6089,plain,
% 33.33/21.95 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB25)) | (~v130(constB25, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB25)) | (~v130(constB25, bitIndex0)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6090,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB25)) | (~v130(constB25, bitIndex0)))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6091,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB25)) | (~v130(constB25, bitIndex0))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6090, 6089])).
% 33.33/21.95 tff(6092,plain,
% 33.33/21.95 (~v130(constB25, bitIndex0)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6091, 2277, 6066])).
% 33.33/21.95 tff(6093,plain,
% 33.33/21.95 (~v127(constB25, bitIndex0)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5920, 6092])).
% 33.33/21.95 tff(6094,plain,
% 33.33/21.95 (~v129(constB26, bitIndex0)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5925, 6093])).
% 33.33/21.95 tff(6095,plain,
% 33.33/21.95 ((~v90(constB26, bitIndex0)) | (~v100(constB26))),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5932, 1215, 6094])).
% 33.33/21.95 tff(6096,plain,
% 33.33/21.95 (~v90(constB26, bitIndex0)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6095, 6075])).
% 33.33/21.95 tff(6097,plain,
% 33.33/21.95 (~v90(constB27, bitIndex0)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5942, 6096])).
% 33.33/21.95 tff(6098,plain,
% 33.33/21.95 (v100(constB28)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[5955, 6097, 5948])).
% 33.33/21.95 tff(6099,assumption,(v90(constB28, bitIndex1)), introduced(assumption)).
% 33.33/21.95 tff(6100,plain,
% 33.33/21.95 (v129(constB28, bitIndex1) | (~v100(constB28))),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4635, 814, 6099])).
% 33.33/21.95 tff(6101,plain,
% 33.33/21.95 (v129(constB28, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6100, 6098])).
% 33.33/21.95 tff(6102,plain,
% 33.33/21.95 (v127(constB27, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4628, 6101])).
% 33.33/21.95 tff(6103,plain,
% 33.33/21.95 ((~v127(constB27, bitIndex1)) | v130(constB27, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[4622, 781, 4415])).
% 33.33/21.95 tff(6104,plain,
% 33.33/21.95 (v130(constB27, bitIndex1)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6103, 6102])).
% 33.33/21.95 tff(6105,plain,
% 33.33/21.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB27, bitIndex1)) | (~v123(constB27)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB27, bitIndex1)) | (~v123(constB27)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6106,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB27, bitIndex1)) | (~v123(constB27)))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6107,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB27, bitIndex1)) | (~v123(constB27))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6106, 6105])).
% 33.33/21.95 tff(6108,plain,
% 33.33/21.95 (~v123(constB27)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6107, 2194, 6084])).
% 33.33/21.95 tff(6109,plain,
% 33.33/21.95 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB25)) | v130(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB25)) | v130(constB25, bitIndex2))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6110,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB25)) | v130(constB25, bitIndex2))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6111,plain,
% 33.33/21.95 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB25)) | v130(constB25, bitIndex2)),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6110, 6109])).
% 33.33/21.95 tff(6112,plain,
% 33.33/21.95 (v130(constB25, bitIndex2)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6111, 2075, 6066])).
% 33.33/21.95 tff(6113,plain,
% 33.33/21.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB25) | (~v130(constB25, bitIndex2)) | v127(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB25) | (~v130(constB25, bitIndex2)) | v127(constB25, bitIndex2))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6114,plain,
% 33.33/21.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB25) | (~v130(constB25, bitIndex2)) | v127(constB25, bitIndex2))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6115,plain,
% 33.33/21.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB25) | (~v130(constB25, bitIndex2)) | v127(constB25, bitIndex2)),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6114, 6113])).
% 33.33/21.95 tff(6116,plain,
% 33.33/21.95 ((~v130(constB25, bitIndex2)) | v127(constB25, bitIndex2)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6115, 1592, 4184])).
% 33.33/21.95 tff(6117,plain,
% 33.33/21.95 (v127(constB25, bitIndex2)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6116, 6112])).
% 33.33/21.95 tff(6118,plain,
% 33.33/21.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex2)) | v129(constB26, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex2)) | v129(constB26, bitIndex2))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6119,plain,
% 33.33/21.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex2)) | v129(constB26, bitIndex2))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6120,plain,
% 33.33/21.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex2)) | v129(constB26, bitIndex2)),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6119, 6118])).
% 33.33/21.95 tff(6121,plain,
% 33.33/21.95 ((~v127(constB25, bitIndex2)) | v129(constB26, bitIndex2)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6120, 1607, 4199])).
% 33.33/21.95 tff(6122,plain,
% 33.33/21.95 (v129(constB26, bitIndex2)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6121, 6117])).
% 33.33/21.95 tff(6123,plain,
% 33.33/21.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~v129(constB26, bitIndex2)) | (~v100(constB26)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~v129(constB26, bitIndex2)) | (~v100(constB26)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6124,plain,
% 33.33/21.95 ((v90(constB26, bitIndex2) | (~v100(constB26)) | (~v129(constB26, bitIndex2))) <=> (v90(constB26, bitIndex2) | (~v129(constB26, bitIndex2)) | (~v100(constB26)))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6125,plain,
% 33.33/21.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~v100(constB26)) | (~v129(constB26, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~v129(constB26, bitIndex2)) | (~v100(constB26))))),
% 33.33/21.95 inference(monotonicity,[status(thm)],[6124])).
% 33.33/21.95 tff(6126,plain,
% 33.33/21.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~v100(constB26)) | (~v129(constB26, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~v129(constB26, bitIndex2)) | (~v100(constB26)))),
% 33.33/21.95 inference(transitivity,[status(thm)],[6125, 6123])).
% 33.33/21.95 tff(6127,plain,
% 33.33/21.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~v100(constB26)) | (~v129(constB26, bitIndex2)))),
% 33.33/21.95 inference(quant_inst,[status(thm)],[])).
% 33.33/21.95 tff(6128,plain,
% 33.33/21.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~v129(constB26, bitIndex2)) | (~v100(constB26))),
% 33.33/21.95 inference(modus_ponens,[status(thm)],[6127, 6126])).
% 33.33/21.95 tff(6129,plain,
% 33.33/21.95 (v90(constB26, bitIndex2) | (~v100(constB26))),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6128, 1622, 6122])).
% 33.33/21.95 tff(6130,plain,
% 33.33/21.95 (v90(constB26, bitIndex2)),
% 33.33/21.95 inference(unit_resolution,[status(thm)],[6129, 6075])).
% 33.33/21.95 tff(6131,plain,
% 33.33/21.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex2))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6132,plain,
% 33.33/21.95 (((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex2)) | v100(constB27) | v90(constB27, bitIndex2)) <=> ((~v90(constB26, bitIndex2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex2))),
% 33.33/21.95 inference(rewrite,[status(thm)],[])).
% 33.33/21.95 tff(6133,plain,
% 33.33/21.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex2)) | v100(constB27) | v90(constB27, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex2)))),
% 33.33/21.96 inference(monotonicity,[status(thm)],[6132])).
% 33.33/21.96 tff(6134,plain,
% 33.33/21.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex2)) | v100(constB27) | v90(constB27, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex2))),
% 33.33/21.96 inference(transitivity,[status(thm)],[6133, 6131])).
% 33.33/21.96 tff(6135,plain,
% 33.33/21.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex2)) | v100(constB27) | v90(constB27, bitIndex2))),
% 33.33/21.96 inference(quant_inst,[status(thm)],[])).
% 33.33/21.96 tff(6136,plain,
% 33.33/21.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex2)),
% 33.33/21.96 inference(modus_ponens,[status(thm)],[6135, 6134])).
% 33.33/21.96 tff(6137,plain,
% 33.33/21.96 ((~v90(constB26, bitIndex2)) | v100(constB27) | v90(constB27, bitIndex2)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[6136, 1658, 4282])).
% 33.33/21.96 tff(6138,plain,
% 33.33/21.96 ((~v90(constB26, bitIndex2)) | v90(constB27, bitIndex2)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[6137, 4294])).
% 33.33/21.96 tff(6139,plain,
% 33.33/21.96 (v90(constB27, bitIndex2)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[6138, 6130])).
% 33.33/21.96 tff(6140,plain,
% 33.33/21.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB27, bitIndex2)) | (~v121(constB27)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB27, bitIndex2)) | (~v121(constB27)))),
% 33.33/21.96 inference(rewrite,[status(thm)],[])).
% 33.33/21.96 tff(6141,plain,
% 33.33/21.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB27, bitIndex2)) | (~v121(constB27)))),
% 33.33/21.96 inference(quant_inst,[status(thm)],[])).
% 33.33/21.96 tff(6142,plain,
% 33.33/21.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB27, bitIndex2)) | (~v121(constB27))),
% 33.33/21.96 inference(modus_ponens,[status(thm)],[6141, 6140])).
% 33.33/21.96 tff(6143,plain,
% 33.33/21.96 (~v121(constB27)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[6142, 2216, 6139])).
% 33.33/21.96 tff(6144,plain,
% 33.33/21.96 (~v123(constB28)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[5991, 5988, 5948])).
% 33.33/21.96 tff(6145,plain,
% 33.33/21.96 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))))),
% 33.33/21.96 inference(bind,[status(th)],[])).
% 33.33/21.96 tff(6146,plain,
% 33.33/21.96 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 33.33/21.96 inference(quant_intro,[status(thm)],[6145])).
% 33.33/21.96 tff(6147,plain,
% 33.33/21.96 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 33.33/21.96 inference(rewrite,[status(thm)],[])).
% 33.33/21.96 tff(6148,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 33.33/21.96 tff(6149,plain,
% 33.33/21.96 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 33.33/21.96 inference(modus_ponens,[status(thm)],[6148, 6147])).
% 33.33/21.96 tff(6150,plain,(
% 33.33/21.96 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 33.33/21.96 inference(skolemize,[status(sab)],[6149])).
% 33.33/21.96 tff(6151,plain,
% 33.33/21.96 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 33.33/21.96 inference(modus_ponens,[status(thm)],[6150, 6146])).
% 33.33/21.96 tff(6152,plain,
% 33.33/21.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB28, bitIndex0)) | (~v121(constB28)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB28, bitIndex0)) | (~v121(constB28)))),
% 33.33/21.96 inference(rewrite,[status(thm)],[])).
% 33.33/21.96 tff(6153,plain,
% 33.33/21.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB28, bitIndex0)) | (~v121(constB28)))),
% 33.33/21.96 inference(quant_inst,[status(thm)],[])).
% 33.33/21.96 tff(6154,plain,
% 33.33/21.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB28, bitIndex0)) | (~v121(constB28))),
% 33.33/21.96 inference(modus_ponens,[status(thm)],[6153, 6152])).
% 33.33/21.96 tff(6155,plain,
% 33.33/21.96 (~v121(constB28)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[6154, 6151, 5948])).
% 33.33/21.96 tff(6156,plain,
% 33.33/21.96 (~v125(constB28)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[5976, 5973, 5948])).
% 33.33/21.96 tff(6157,plain,
% 33.33/21.96 (v127(constB27, bitIndex0)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[5993, 6156, 6155, 6144])).
% 33.33/21.96 tff(6158,plain,
% 33.33/21.96 (v130(constB27, bitIndex0)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[4486, 6157])).
% 33.33/21.96 tff(6159,plain,
% 33.33/21.96 (~v120(constB27)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[4470, 1168, 6158])).
% 33.33/21.96 tff(6160,plain,
% 33.33/21.96 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB27)) | (~v130(constB27, bitIndex0)))),
% 33.33/21.96 inference(rewrite,[status(thm)],[])).
% 33.33/21.96 tff(6161,plain,
% 33.33/21.96 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB27)) | (~v130(constB27, bitIndex0)))),
% 33.33/21.96 inference(quant_inst,[status(thm)],[])).
% 33.33/21.96 tff(6162,plain,
% 33.33/21.96 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB27)) | (~v130(constB27, bitIndex0))),
% 33.33/21.96 inference(modus_ponens,[status(thm)],[6161, 6160])).
% 33.33/21.96 tff(6163,plain,
% 33.33/21.96 (~v124(constB27)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[6162, 2277, 6158])).
% 33.33/21.96 tff(6164,plain,
% 33.33/21.96 (~v122(constB27)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[5998, 1721, 6158])).
% 33.33/21.96 tff(6165,plain,
% 33.33/21.96 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v122(constB27) | v120(constB27) | v121(constB27) | v123(constB27) | v124(constB27) | v119(constB27) | (~v130(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v122(constB27) | v120(constB27) | v121(constB27) | v123(constB27) | v124(constB27) | v119(constB27) | (~v130(constB27, bitIndex1)))),
% 33.33/21.96 inference(rewrite,[status(thm)],[])).
% 33.33/21.96 tff(6166,plain,
% 33.33/21.96 ((v120(constB27) | v119(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, bitIndex1))) <=> (v122(constB27) | v120(constB27) | v121(constB27) | v123(constB27) | v124(constB27) | v119(constB27) | (~v130(constB27, bitIndex1)))),
% 33.33/21.96 inference(rewrite,[status(thm)],[])).
% 33.33/21.96 tff(6167,plain,
% 33.33/21.96 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB27) | v119(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v122(constB27) | v120(constB27) | v121(constB27) | v123(constB27) | v124(constB27) | v119(constB27) | (~v130(constB27, bitIndex1))))),
% 33.33/21.96 inference(monotonicity,[status(thm)],[6166])).
% 33.33/21.96 tff(6168,plain,
% 33.33/21.96 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB27) | v119(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v122(constB27) | v120(constB27) | v121(constB27) | v123(constB27) | v124(constB27) | v119(constB27) | (~v130(constB27, bitIndex1)))),
% 33.33/21.96 inference(transitivity,[status(thm)],[6167, 6165])).
% 33.33/21.96 tff(6169,plain,
% 33.33/21.96 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB27) | v119(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, bitIndex1)))),
% 33.33/21.96 inference(quant_inst,[status(thm)],[])).
% 33.33/21.96 tff(6170,plain,
% 33.33/21.96 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v122(constB27) | v120(constB27) | v121(constB27) | v123(constB27) | v124(constB27) | v119(constB27) | (~v130(constB27, bitIndex1))),
% 33.33/21.96 inference(modus_ponens,[status(thm)],[6169, 6168])).
% 33.33/21.96 tff(6171,plain,
% 33.33/21.96 (v121(constB27) | v123(constB27) | v119(constB27) | (~v130(constB27, bitIndex1))),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[6170, 2448, 6164, 6163, 6159])).
% 33.33/21.96 tff(6172,plain,
% 33.33/21.96 ($false),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[6171, 6143, 6108, 6104, 6088])).
% 33.33/21.96 tff(6173,plain,((~v124(constB25)) | (~v90(constB28, bitIndex1)) | (~v90(constB28, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 33.33/21.96 tff(6174,plain,
% 33.33/21.96 (~v124(constB25)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[6173, 5840, 6065])).
% 33.33/21.96 tff(6175,plain,
% 33.33/21.96 (~v124(constB27)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[6162, 2277, 5995])).
% 33.33/21.96 tff(6176,assumption,(v123(constB25)), introduced(assumption)).
% 33.33/21.96 tff(6177,plain,
% 33.33/21.96 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB25) | (~v123(constB25)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB25) | (~v123(constB25)))),
% 33.33/21.96 inference(rewrite,[status(thm)],[])).
% 33.33/21.96 tff(6178,plain,
% 33.33/21.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB25) | (~v123(constB25)))),
% 33.33/21.96 inference(quant_inst,[status(thm)],[])).
% 33.33/21.96 tff(6179,plain,
% 33.33/21.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB25) | (~v123(constB25))),
% 33.33/21.96 inference(modus_ponens,[status(thm)],[6178, 6177])).
% 33.33/21.96 tff(6180,plain,
% 33.33/21.96 (v115(constB25)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[6179, 1776, 6176])).
% 33.33/21.96 tff(6181,plain,
% 33.33/21.96 (v114(constB25)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[5860, 531, 6180])).
% 33.33/21.96 tff(6182,plain,
% 33.33/21.96 (v113(constB25)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[5864, 542, 6181])).
% 33.33/21.96 tff(6183,plain,
% 33.33/21.96 (v112(constB25)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[4191, 6182])).
% 33.33/21.96 tff(6184,plain,
% 33.33/21.96 (v108(constB25)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[4195, 568, 6183])).
% 33.33/21.96 tff(6185,plain,
% 33.33/21.96 (v110(constB26)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[4206, 6184])).
% 33.33/21.96 tff(6186,plain,
% 33.33/21.96 (v100(constB26)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[4238, 6185])).
% 33.33/21.96 tff(6187,plain,
% 33.33/21.96 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB25)) | v130(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB25)) | v130(constB25, bitIndex2))),
% 33.33/21.96 inference(rewrite,[status(thm)],[])).
% 33.33/21.96 tff(6188,plain,
% 33.33/21.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB25)) | v130(constB25, bitIndex2))),
% 33.33/21.96 inference(quant_inst,[status(thm)],[])).
% 33.33/21.96 tff(6189,plain,
% 33.33/21.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB25)) | v130(constB25, bitIndex2)),
% 33.33/21.96 inference(modus_ponens,[status(thm)],[6188, 6187])).
% 33.33/21.96 tff(6190,plain,
% 33.33/21.96 (v130(constB25, bitIndex2)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[6189, 1850, 6176])).
% 33.33/21.96 tff(6191,plain,
% 33.33/21.96 (v127(constB25, bitIndex2)),
% 33.33/21.96 inference(unit_resolution,[status(thm)],[6116, 6190])).
% 33.33/21.96 tff(6192,plain,
% 33.37/21.96 (v129(constB26, bitIndex2)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6121, 6191])).
% 33.37/21.96 tff(6193,plain,
% 33.37/21.96 (v90(constB26, bitIndex2) | (~v100(constB26))),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6128, 1622, 6192])).
% 33.37/21.96 tff(6194,plain,
% 33.37/21.96 (v90(constB26, bitIndex2)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6193, 6186])).
% 33.37/21.96 tff(6195,plain,
% 33.37/21.96 (v90(constB27, bitIndex2)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6138, 6194])).
% 33.37/21.96 tff(6196,plain,
% 33.37/21.96 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB25)) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB25)) | v130(constB25, bitIndex0))),
% 33.37/21.96 inference(rewrite,[status(thm)],[])).
% 33.37/21.96 tff(6197,plain,
% 33.37/21.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB25)) | v130(constB25, bitIndex0))),
% 33.37/21.96 inference(quant_inst,[status(thm)],[])).
% 33.37/21.96 tff(6198,plain,
% 33.37/21.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB25)) | v130(constB25, bitIndex0)),
% 33.37/21.96 inference(modus_ponens,[status(thm)],[6197, 6196])).
% 33.37/21.96 tff(6199,plain,
% 33.37/21.96 (v130(constB25, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6198, 1953, 6176])).
% 33.37/21.96 tff(6200,plain,
% 33.37/21.96 (v127(constB25, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4315, 6199])).
% 33.37/21.96 tff(6201,plain,
% 33.37/21.96 (v129(constB26, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4320, 6200])).
% 33.37/21.96 tff(6202,plain,
% 33.37/21.96 (v90(constB26, bitIndex0) | (~v100(constB26))),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4327, 885, 6201])).
% 33.37/21.96 tff(6203,plain,
% 33.37/21.96 (v90(constB26, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6202, 6186])).
% 33.37/21.96 tff(6204,plain,
% 33.37/21.96 (v90(constB27, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4337, 6203])).
% 33.37/21.96 tff(6205,plain,
% 33.37/21.96 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB25)) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB25)) | (~v130(constB25, bitIndex1)))),
% 33.37/21.96 inference(rewrite,[status(thm)],[])).
% 33.37/21.96 tff(6206,plain,
% 33.37/21.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB25)) | (~v130(constB25, bitIndex1)))),
% 33.37/21.96 inference(quant_inst,[status(thm)],[])).
% 33.37/21.96 tff(6207,plain,
% 33.37/21.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB25)) | (~v130(constB25, bitIndex1))),
% 33.37/21.96 inference(modus_ponens,[status(thm)],[6206, 6205])).
% 33.37/21.96 tff(6208,plain,
% 33.37/21.96 (~v130(constB25, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6207, 1909, 6176])).
% 33.37/21.96 tff(6209,plain,
% 33.37/21.96 (~v127(constB25, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4353, 6208])).
% 33.37/21.96 tff(6210,plain,
% 33.37/21.96 (~v129(constB26, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4358, 6209])).
% 33.37/21.96 tff(6211,plain,
% 33.37/21.96 ((~v90(constB26, bitIndex1)) | (~v100(constB26))),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4365, 814, 6210])).
% 33.37/21.96 tff(6212,plain,
% 33.37/21.96 (~v90(constB26, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6211, 6186])).
% 33.37/21.96 tff(6213,plain,
% 33.37/21.96 (~v90(constB27, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4375, 6212])).
% 33.37/21.96 tff(6214,assumption,(~v124(constB27)), introduced(assumption)).
% 33.37/21.96 tff(6215,plain,
% 33.37/21.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v124(constB27))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v124(constB27))),
% 33.37/21.96 inference(rewrite,[status(thm)],[])).
% 33.37/21.96 tff(6216,plain,
% 33.37/21.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v124(constB27))),
% 33.37/21.96 inference(quant_inst,[status(thm)],[])).
% 33.37/21.96 tff(6217,plain,
% 33.37/21.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v124(constB27)),
% 33.37/21.96 inference(modus_ponens,[status(thm)],[6216, 6215])).
% 33.37/21.96 tff(6218,plain,
% 33.37/21.96 ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2))),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6217, 1994, 6214])).
% 33.37/21.96 tff(6219,plain,
% 33.37/21.96 ($false),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6218, 6213, 6204, 6195])).
% 33.37/21.96 tff(6220,plain,((~v123(constB25)) | v124(constB27)), inference(lemma,lemma(discharge,[]))).
% 33.37/21.96 tff(6221,plain,
% 33.37/21.96 (~v123(constB25)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6220, 6175])).
% 33.37/21.96 tff(6222,plain,
% 33.37/21.96 (v90(constB25, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4386, 6221, 4377, 6174, 6047, 5966])).
% 33.37/21.96 tff(6223,plain,
% 33.37/21.96 (v90(constB24, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[3982, 6222])).
% 33.37/21.96 tff(6224,plain,
% 33.37/21.96 (v90(constB24, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4164, 6221, 6174, 5966])).
% 33.37/21.96 tff(6225,assumption,(v120(constB23)), introduced(assumption)).
% 33.37/21.96 tff(6226,plain,
% 33.37/21.96 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB23) | (~v120(constB23)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB23) | (~v120(constB23)))),
% 33.37/21.96 inference(rewrite,[status(thm)],[])).
% 33.37/21.96 tff(6227,plain,
% 33.37/21.96 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB23) | (~v120(constB23)))),
% 33.37/21.96 inference(quant_inst,[status(thm)],[])).
% 33.37/21.96 tff(6228,plain,
% 33.37/21.96 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB23) | (~v120(constB23))),
% 33.37/21.96 inference(modus_ponens,[status(thm)],[6227, 6226])).
% 33.37/21.96 tff(6229,plain,
% 33.37/21.96 (v118(constB23)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6228, 936, 6225])).
% 33.37/21.96 tff(6230,plain,
% 33.37/21.96 (v117(constB23)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4045, 498, 6229])).
% 33.37/21.96 tff(6231,plain,
% 33.37/21.96 (v116(constB23)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4049, 509, 6230])).
% 33.37/21.96 tff(6232,plain,
% 33.37/21.96 (v115(constB23)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4057, 520, 6231])).
% 33.37/21.96 tff(6233,plain,
% 33.37/21.96 (v114(constB23)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4053, 531, 6232])).
% 33.37/21.96 tff(6234,plain,
% 33.37/21.96 (v113(constB23)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[3797, 542, 6233])).
% 33.37/21.96 tff(6235,plain,
% 33.37/21.96 (v112(constB23)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[3809, 6234])).
% 33.37/21.96 tff(6236,plain,
% 33.37/21.96 (v108(constB23)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[3813, 568, 6235])).
% 33.37/21.96 tff(6237,plain,
% 33.37/21.96 (v110(constB24)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[3824, 6236])).
% 33.37/21.96 tff(6238,plain,
% 33.37/21.96 (v100(constB24)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[3856, 6237])).
% 33.37/21.96 tff(6239,plain,
% 33.37/21.96 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB23)) | (~v130(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB23)) | (~v130(constB23, bitIndex0)))),
% 33.37/21.96 inference(rewrite,[status(thm)],[])).
% 33.37/21.96 tff(6240,plain,
% 33.37/21.96 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB23)) | (~v130(constB23, bitIndex0)))),
% 33.37/21.96 inference(quant_inst,[status(thm)],[])).
% 33.37/21.96 tff(6241,plain,
% 33.37/21.96 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB23)) | (~v130(constB23, bitIndex0))),
% 33.37/21.96 inference(modus_ponens,[status(thm)],[6240, 6239])).
% 33.37/21.96 tff(6242,plain,
% 33.37/21.96 (~v130(constB23, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6241, 1168, 6225])).
% 33.37/21.96 tff(6243,plain,
% 33.37/21.96 (~v127(constB23, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[3960, 6242])).
% 33.37/21.96 tff(6244,plain,
% 33.37/21.96 (~v129(constB24, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[3965, 6243])).
% 33.37/21.96 tff(6245,plain,
% 33.37/21.96 ((~v90(constB24, bitIndex0)) | (~v100(constB24))),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[3972, 1215, 6244])).
% 33.37/21.96 tff(6246,plain,
% 33.37/21.96 (~v90(constB24, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6245, 6238])).
% 33.37/21.96 tff(6247,plain,
% 33.37/21.96 (~v90(constB25, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[3982, 6246])).
% 33.37/21.96 tff(6248,plain,
% 33.37/21.96 (v124(constB25)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4386, 6247, 4377, 3990, 3989, 3991])).
% 33.37/21.96 tff(6249,plain,
% 33.37/21.96 (v130(constB23, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4130, 1087, 6225])).
% 33.37/21.96 tff(6250,plain,
% 33.37/21.96 (v127(constB23, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[3865, 6249])).
% 33.37/21.96 tff(6251,plain,
% 33.37/21.96 (v129(constB24, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[3870, 6250])).
% 33.37/21.96 tff(6252,plain,
% 33.37/21.96 (v90(constB24, bitIndex1) | (~v100(constB24))),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[3877, 1131, 6251])).
% 33.37/21.96 tff(6253,plain,
% 33.37/21.96 (v90(constB24, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6252, 6238])).
% 33.37/21.96 tff(6254,plain,
% 33.37/21.96 (v90(constB25, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[3905, 6253])).
% 33.37/21.96 tff(6255,plain,
% 33.37/21.96 ($false),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[3948, 2205, 6254, 6248])).
% 33.37/21.96 tff(6256,plain,((~v120(constB23)) | v120(constB27) | v123(constB25) | v121(constB25) | v120(constB25)), inference(lemma,lemma(discharge,[]))).
% 33.37/21.96 tff(6257,plain,
% 33.37/21.96 (~v120(constB23)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6256, 6221, 4377, 6047, 5966])).
% 33.37/21.96 tff(6258,assumption,(v100(constB28)), introduced(assumption)).
% 33.37/21.96 tff(6259,plain,
% 33.37/21.96 (v129(constB28, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6100, 6258])).
% 33.37/21.96 tff(6260,plain,
% 33.37/21.96 (v127(constB27, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4628, 6259])).
% 33.37/21.96 tff(6261,plain,
% 33.37/21.96 (v130(constB27, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6103, 6260])).
% 33.37/21.96 tff(6262,plain,
% 33.37/21.96 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB27)) | (~v130(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB27)) | (~v130(constB27, bitIndex1)))),
% 33.37/21.96 inference(rewrite,[status(thm)],[])).
% 33.37/21.96 tff(6263,plain,
% 33.37/21.96 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB27)) | (~v130(constB27, bitIndex1)))),
% 33.37/21.96 inference(quant_inst,[status(thm)],[])).
% 33.37/21.96 tff(6264,plain,
% 33.37/21.96 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB27)) | (~v130(constB27, bitIndex1))),
% 33.37/21.96 inference(modus_ponens,[status(thm)],[6263, 6262])).
% 33.37/21.96 tff(6265,plain,
% 33.37/21.96 (~v119(constB27)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6264, 767, 6261])).
% 33.37/21.96 tff(6266,plain,
% 33.37/21.96 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB27)) | (~v130(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB27)) | (~v130(constB27, bitIndex1)))),
% 33.37/21.96 inference(rewrite,[status(thm)],[])).
% 33.37/21.96 tff(6267,plain,
% 33.37/21.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB27)) | (~v130(constB27, bitIndex1)))),
% 33.37/21.96 inference(quant_inst,[status(thm)],[])).
% 33.37/21.96 tff(6268,plain,
% 33.37/21.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB27)) | (~v130(constB27, bitIndex1))),
% 33.37/21.96 inference(modus_ponens,[status(thm)],[6267, 6266])).
% 33.37/21.96 tff(6269,plain,
% 33.37/21.96 (~v123(constB27)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6268, 1909, 6261])).
% 33.37/21.96 tff(6270,plain,
% 33.37/21.96 (v129(constB28, bitIndex2)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[5957, 6258])).
% 33.37/21.96 tff(6271,plain,
% 33.37/21.96 (v127(constB27, bitIndex2)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4516, 6270])).
% 33.37/21.96 tff(6272,plain,
% 33.37/21.96 (v130(constB27, bitIndex2)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4511, 6271])).
% 33.37/21.96 tff(6273,plain,
% 33.37/21.96 (~v121(constB27)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[5963, 1342, 6272])).
% 33.37/21.96 tff(6274,plain,
% 33.37/21.96 (v121(constB27) | v123(constB27) | v119(constB27) | (~v130(constB27, bitIndex1))),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6170, 2448, 6040, 6214, 4377])).
% 33.37/21.96 tff(6275,plain,
% 33.37/21.96 ($false),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6274, 6273, 6269, 6261, 6265])).
% 33.37/21.96 tff(6276,plain,((~v100(constB28)) | v122(constB27) | v124(constB27) | v120(constB27) | (~v90(constB28, bitIndex2)) | (~v90(constB28, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 33.37/21.96 tff(6277,plain,
% 33.37/21.96 (~v100(constB28)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6276, 6175, 5837, 6065, 4377, 5999])).
% 33.37/21.96 tff(6278,plain,
% 33.37/21.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 33.37/21.96 inference(rewrite,[status(thm)],[])).
% 33.37/21.96 tff(6279,plain,
% 33.37/21.96 (((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2))) <=> (v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 33.37/21.96 inference(rewrite,[status(thm)],[])).
% 33.37/21.96 tff(6280,plain,
% 33.37/21.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2))))),
% 33.37/21.96 inference(monotonicity,[status(thm)],[6279])).
% 33.37/21.96 tff(6281,plain,
% 33.37/21.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 33.37/21.96 inference(transitivity,[status(thm)],[6280, 6278])).
% 33.37/21.96 tff(6282,plain,
% 33.37/21.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 33.37/21.96 inference(quant_inst,[status(thm)],[])).
% 33.37/21.96 tff(6283,plain,
% 33.37/21.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2))),
% 33.37/21.96 inference(modus_ponens,[status(thm)],[6282, 6281])).
% 33.37/21.96 tff(6284,plain,
% 33.37/21.96 (v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2))),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6283, 413, 4427])).
% 33.37/21.96 tff(6285,plain,
% 33.37/21.96 (v90(constB27, bitIndex2)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6284, 6277, 5837])).
% 33.37/21.96 tff(6286,plain,
% 33.37/21.96 (v90(constB26, bitIndex2)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4302, 6285])).
% 33.37/21.96 tff(6287,plain,
% 33.37/21.96 (v90(constB27, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[5955, 6277, 5840])).
% 33.37/21.96 tff(6288,plain,
% 33.37/21.96 (v90(constB26, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[5942, 6287])).
% 33.37/21.96 tff(6289,plain,
% 33.37/21.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 33.37/21.96 inference(rewrite,[status(thm)],[])).
% 33.37/21.96 tff(6290,plain,
% 33.37/21.96 (((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1))) <=> (v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 33.37/21.96 inference(rewrite,[status(thm)],[])).
% 33.37/21.96 tff(6291,plain,
% 33.37/21.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1))))),
% 33.37/21.96 inference(monotonicity,[status(thm)],[6290])).
% 33.37/21.96 tff(6292,plain,
% 33.37/21.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 33.37/21.96 inference(transitivity,[status(thm)],[6291, 6289])).
% 33.37/21.96 tff(6293,plain,
% 33.37/21.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 33.37/21.96 inference(quant_inst,[status(thm)],[])).
% 33.37/21.96 tff(6294,plain,
% 33.37/21.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1))),
% 33.37/21.96 inference(modus_ponens,[status(thm)],[6293, 6292])).
% 33.37/21.96 tff(6295,plain,
% 33.37/21.96 (v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1))),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6294, 434, 4427])).
% 33.37/21.96 tff(6296,plain,
% 33.37/21.96 (v90(constB27, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6295, 6277, 6065])).
% 33.37/21.96 tff(6297,plain,
% 33.37/21.96 (v90(constB26, bitIndex1)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4375, 6296])).
% 33.37/21.96 tff(6298,assumption,(v100(constB26)), introduced(assumption)).
% 33.37/21.96 tff(6299,assumption,(v90(constB26, bitIndex0)), introduced(assumption)).
% 33.37/21.96 tff(6300,plain,
% 33.37/21.96 (v129(constB26, bitIndex0) | (~v100(constB26))),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[5932, 1215, 6299])).
% 33.37/21.96 tff(6301,plain,
% 33.37/21.96 (v129(constB26, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6300, 6298])).
% 33.37/21.96 tff(6302,plain,
% 33.37/21.96 (v127(constB25, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[5925, 6301])).
% 33.37/21.96 tff(6303,plain,
% 33.37/21.96 (v130(constB25, bitIndex0)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[5920, 6302])).
% 33.37/21.96 tff(6304,plain,
% 33.37/21.96 (~v124(constB25)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6091, 2277, 6303])).
% 33.37/21.96 tff(6305,plain,
% 33.37/21.96 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB25)) | (~v130(constB25, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB25)) | (~v130(constB25, bitIndex0)))),
% 33.37/21.96 inference(rewrite,[status(thm)],[])).
% 33.37/21.96 tff(6306,plain,
% 33.37/21.96 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB25)) | (~v130(constB25, bitIndex0)))),
% 33.37/21.96 inference(quant_inst,[status(thm)],[])).
% 33.37/21.96 tff(6307,plain,
% 33.37/21.96 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB25)) | (~v130(constB25, bitIndex0))),
% 33.37/21.96 inference(modus_ponens,[status(thm)],[6306, 6305])).
% 33.37/21.96 tff(6308,plain,
% 33.37/21.96 (~v122(constB25)),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[6307, 1721, 6303])).
% 33.37/21.96 tff(6309,assumption,(v90(constB26, bitIndex2)), introduced(assumption)).
% 33.37/21.96 tff(6310,plain,
% 33.37/21.96 (v129(constB26, bitIndex2) | (~v100(constB26))),
% 33.37/21.96 inference(unit_resolution,[status(thm)],[4274, 722, 6309])).
% 33.37/21.97 tff(6311,plain,
% 33.37/21.97 (v129(constB26, bitIndex2)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6310, 6298])).
% 33.37/21.97 tff(6312,plain,
% 33.37/21.97 (v127(constB25, bitIndex2)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[4267, 6311])).
% 33.37/21.97 tff(6313,plain,
% 33.37/21.97 (v130(constB25, bitIndex2)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[4262, 6312])).
% 33.37/21.97 tff(6314,plain,
% 33.37/21.97 (~v121(constB25)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6015, 1342, 6313])).
% 33.37/21.97 tff(6315,plain,
% 33.37/21.97 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB25)) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB25)) | (~v130(constB25, bitIndex2)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6316,plain,
% 33.37/21.97 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB25)) | (~v130(constB25, bitIndex2)))),
% 33.37/21.97 inference(quant_inst,[status(thm)],[])).
% 33.37/21.97 tff(6317,plain,
% 33.37/21.97 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB25)) | (~v130(constB25, bitIndex2))),
% 33.37/21.97 inference(modus_ponens,[status(thm)],[6316, 6315])).
% 33.37/21.97 tff(6318,plain,
% 33.37/21.97 (~v119(constB25)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6317, 675, 6313])).
% 33.37/21.97 tff(6319,plain,
% 33.37/21.97 (~v120(constB25)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[5872, 1025, 6313])).
% 33.37/21.97 tff(6320,assumption,(v90(constB26, bitIndex1)), introduced(assumption)).
% 33.37/21.97 tff(6321,plain,
% 33.37/21.97 (v129(constB26, bitIndex1) | (~v100(constB26))),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[4365, 814, 6320])).
% 33.37/21.97 tff(6322,plain,
% 33.37/21.97 (v129(constB26, bitIndex1)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6321, 6298])).
% 33.37/21.97 tff(6323,plain,
% 33.37/21.97 (v127(constB25, bitIndex1)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[4358, 6322])).
% 33.37/21.97 tff(6324,plain,
% 33.37/21.97 (v130(constB25, bitIndex1)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[4353, 6323])).
% 33.37/21.97 tff(6325,plain,
% 33.37/21.97 (v123(constB25)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[4344, 2448, 6324, 6319, 6318, 6314, 6308, 6304])).
% 33.37/21.97 tff(6326,plain,
% 33.37/21.97 ($false),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6207, 1909, 6324, 6325])).
% 33.37/21.97 tff(6327,plain,((~v100(constB26)) | (~v90(constB26, bitIndex1)) | (~v90(constB26, bitIndex0)) | (~v90(constB26, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 33.37/21.97 tff(6328,plain,
% 33.37/21.97 (~v100(constB26)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6327, 6286, 6297, 6288])).
% 33.37/21.97 tff(6329,plain,
% 33.37/21.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6330,plain,
% 33.37/21.97 (((~nextState(constB25, constB26)) | v90(constB25, bitIndex2) | v100(constB26) | (~v90(constB26, bitIndex2))) <=> (v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6331,plain,
% 33.37/21.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex2) | v100(constB26) | (~v90(constB26, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2))))),
% 33.37/21.97 inference(monotonicity,[status(thm)],[6330])).
% 33.37/21.97 tff(6332,plain,
% 33.37/21.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex2) | v100(constB26) | (~v90(constB26, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2)))),
% 33.37/21.97 inference(transitivity,[status(thm)],[6331, 6329])).
% 33.37/21.97 tff(6333,plain,
% 33.37/21.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex2) | v100(constB26) | (~v90(constB26, bitIndex2)))),
% 33.37/21.97 inference(quant_inst,[status(thm)],[])).
% 33.37/21.97 tff(6334,plain,
% 33.37/21.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2))),
% 33.37/21.97 inference(modus_ponens,[status(thm)],[6333, 6332])).
% 33.37/21.97 tff(6335,plain,
% 33.37/21.97 (v90(constB25, bitIndex2) | v100(constB26) | (~v90(constB26, bitIndex2))),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6334, 413, 4199])).
% 33.37/21.97 tff(6336,plain,
% 33.37/21.97 (v90(constB25, bitIndex2)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6335, 6328, 6286])).
% 33.37/21.97 tff(6337,plain,
% 33.37/21.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex2)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6338,plain,
% 33.37/21.97 (((~nextState(constB24, constB25)) | v90(constB24, bitIndex2) | v100(constB25) | (~v90(constB25, bitIndex2))) <=> (v90(constB24, bitIndex2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex2)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6339,plain,
% 33.37/21.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex2) | v100(constB25) | (~v90(constB25, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex2))))),
% 33.37/21.97 inference(monotonicity,[status(thm)],[6338])).
% 33.37/21.97 tff(6340,plain,
% 33.37/21.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex2) | v100(constB25) | (~v90(constB25, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex2)))),
% 33.37/21.97 inference(transitivity,[status(thm)],[6339, 6337])).
% 33.37/21.97 tff(6341,plain,
% 33.37/21.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex2) | v100(constB25) | (~v90(constB25, bitIndex2)))),
% 33.37/21.97 inference(quant_inst,[status(thm)],[])).
% 33.37/21.97 tff(6342,plain,
% 33.37/21.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex2))),
% 33.37/21.97 inference(modus_ponens,[status(thm)],[6341, 6340])).
% 33.37/21.97 tff(6343,plain,
% 33.37/21.97 (v90(constB24, bitIndex2) | v100(constB25) | (~v90(constB25, bitIndex2))),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6342, 413, 3885])).
% 33.37/21.97 tff(6344,plain,
% 33.37/21.97 (v90(constB24, bitIndex2) | (~v90(constB25, bitIndex2))),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6343, 3897])).
% 33.37/21.97 tff(6345,plain,
% 33.37/21.97 (v90(constB24, bitIndex2)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6344, 6336])).
% 33.37/21.97 tff(6346,assumption,(v100(constB24)), introduced(assumption)).
% 33.37/21.97 tff(6347,assumption,(v90(constB24, bitIndex1)), introduced(assumption)).
% 33.37/21.97 tff(6348,plain,
% 33.37/21.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | v129(constB24, bitIndex1) | (~v100(constB24)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | v129(constB24, bitIndex1) | (~v100(constB24)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6349,plain,
% 33.37/21.97 (((~v90(constB24, bitIndex1)) | (~v100(constB24)) | v129(constB24, bitIndex1)) <=> ((~v90(constB24, bitIndex1)) | v129(constB24, bitIndex1) | (~v100(constB24)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6350,plain,
% 33.37/21.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~v100(constB24)) | v129(constB24, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | v129(constB24, bitIndex1) | (~v100(constB24))))),
% 33.37/21.97 inference(monotonicity,[status(thm)],[6349])).
% 33.37/21.97 tff(6351,plain,
% 33.37/21.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~v100(constB24)) | v129(constB24, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | v129(constB24, bitIndex1) | (~v100(constB24)))),
% 33.37/21.97 inference(transitivity,[status(thm)],[6350, 6348])).
% 33.37/21.97 tff(6352,plain,
% 33.37/21.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~v100(constB24)) | v129(constB24, bitIndex1))),
% 33.37/21.97 inference(quant_inst,[status(thm)],[])).
% 33.37/21.97 tff(6353,plain,
% 33.37/21.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | v129(constB24, bitIndex1) | (~v100(constB24))),
% 33.37/21.97 inference(modus_ponens,[status(thm)],[6352, 6351])).
% 33.37/21.97 tff(6354,plain,
% 33.37/21.97 (v129(constB24, bitIndex1) | (~v100(constB24))),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6353, 814, 6347])).
% 33.37/21.97 tff(6355,plain,
% 33.37/21.97 (v129(constB24, bitIndex1)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6354, 6346])).
% 33.37/21.97 tff(6356,plain,
% 33.37/21.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex1) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex1) | (~v129(constB24, bitIndex1)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6357,plain,
% 33.37/21.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex1) | (~v129(constB24, bitIndex1)))),
% 33.37/21.97 inference(quant_inst,[status(thm)],[])).
% 33.37/21.97 tff(6358,plain,
% 33.37/21.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex1) | (~v129(constB24, bitIndex1))),
% 33.37/21.97 inference(modus_ponens,[status(thm)],[6357, 6356])).
% 33.37/21.97 tff(6359,plain,
% 33.37/21.97 (v127(constB23, bitIndex1) | (~v129(constB24, bitIndex1))),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6358, 799, 3817])).
% 33.37/21.97 tff(6360,plain,
% 33.37/21.97 (v127(constB23, bitIndex1)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6359, 6355])).
% 33.37/21.97 tff(6361,plain,
% 33.37/21.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB23, bitIndex1)) | v26(constB23) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB23, bitIndex1)) | v26(constB23) | v130(constB23, bitIndex1))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6362,plain,
% 33.37/21.97 ((v26(constB23) | v130(constB23, bitIndex1) | (~v127(constB23, bitIndex1))) <=> ((~v127(constB23, bitIndex1)) | v26(constB23) | v130(constB23, bitIndex1))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6363,plain,
% 33.37/21.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB23) | v130(constB23, bitIndex1) | (~v127(constB23, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB23, bitIndex1)) | v26(constB23) | v130(constB23, bitIndex1)))),
% 33.37/21.97 inference(monotonicity,[status(thm)],[6362])).
% 33.37/21.97 tff(6364,plain,
% 33.37/21.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB23) | v130(constB23, bitIndex1) | (~v127(constB23, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB23, bitIndex1)) | v26(constB23) | v130(constB23, bitIndex1))),
% 33.37/21.97 inference(transitivity,[status(thm)],[6363, 6361])).
% 33.37/21.97 tff(6365,plain,
% 33.37/21.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB23) | v130(constB23, bitIndex1) | (~v127(constB23, bitIndex1)))),
% 33.37/21.97 inference(quant_inst,[status(thm)],[])).
% 33.37/21.97 tff(6366,plain,
% 33.37/21.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB23, bitIndex1)) | v26(constB23) | v130(constB23, bitIndex1)),
% 33.37/21.97 inference(modus_ponens,[status(thm)],[6365, 6364])).
% 33.37/21.97 tff(6367,plain,
% 33.37/21.97 ((~v127(constB23, bitIndex1)) | v130(constB23, bitIndex1)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6366, 781, 3802])).
% 33.37/21.97 tff(6368,plain,
% 33.37/21.97 (v130(constB23, bitIndex1)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6367, 6360])).
% 33.37/21.97 tff(6369,plain,
% 33.37/21.97 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB23)) | (~v130(constB23, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB23)) | (~v130(constB23, bitIndex1)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6370,plain,
% 33.37/21.97 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB23)) | (~v130(constB23, bitIndex1)))),
% 33.37/21.97 inference(quant_inst,[status(thm)],[])).
% 33.37/21.97 tff(6371,plain,
% 33.37/21.97 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB23)) | (~v130(constB23, bitIndex1))),
% 33.37/21.97 inference(modus_ponens,[status(thm)],[6370, 6369])).
% 33.37/21.97 tff(6372,plain,
% 33.37/21.97 (~v119(constB23)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6371, 767, 6368])).
% 33.37/21.97 tff(6373,assumption,(v90(constB24, bitIndex0)), introduced(assumption)).
% 33.37/21.97 tff(6374,plain,
% 33.37/21.97 (v129(constB24, bitIndex0) | (~v100(constB24))),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[3972, 1215, 6373])).
% 33.37/21.97 tff(6375,plain,
% 33.37/21.97 (v129(constB24, bitIndex0)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6374, 6346])).
% 33.37/21.97 tff(6376,plain,
% 33.37/21.97 (v127(constB23, bitIndex0)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[3965, 6375])).
% 33.37/21.97 tff(6377,plain,
% 33.37/21.97 (v130(constB23, bitIndex0)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[3960, 6376])).
% 33.37/21.97 tff(6378,plain,
% 33.37/21.97 (~v124(constB23)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[3952, 2277, 6377])).
% 33.37/21.97 tff(6379,plain,
% 33.37/21.97 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB23)) | (~v130(constB23, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB23)) | (~v130(constB23, bitIndex1)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6380,plain,
% 33.37/21.97 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB23)) | (~v130(constB23, bitIndex1)))),
% 33.37/21.97 inference(quant_inst,[status(thm)],[])).
% 33.37/21.97 tff(6381,plain,
% 33.37/21.97 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB23)) | (~v130(constB23, bitIndex1))),
% 33.37/21.97 inference(modus_ponens,[status(thm)],[6380, 6379])).
% 33.37/21.97 tff(6382,plain,
% 33.37/21.97 (~v123(constB23)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6381, 1909, 6368])).
% 33.37/21.97 tff(6383,plain,
% 33.37/21.97 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB23)) | (~v130(constB23, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB23)) | (~v130(constB23, bitIndex1)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6384,plain,
% 33.37/21.97 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB23)) | (~v130(constB23, bitIndex1)))),
% 33.37/21.97 inference(quant_inst,[status(thm)],[])).
% 33.37/21.97 tff(6385,plain,
% 33.37/21.97 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB23)) | (~v130(constB23, bitIndex1))),
% 33.37/21.97 inference(modus_ponens,[status(thm)],[6384, 6383])).
% 33.37/21.97 tff(6386,plain,
% 33.37/21.97 (~v122(constB23)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6385, 1677, 6368])).
% 33.37/21.97 tff(6387,assumption,(~v120(constB23)), introduced(assumption)).
% 33.37/21.97 tff(6388,assumption,(v90(constB24, bitIndex2)), introduced(assumption)).
% 33.37/21.97 tff(6389,plain,
% 33.37/21.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | v129(constB24, bitIndex2) | (~v100(constB24)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | v129(constB24, bitIndex2) | (~v100(constB24)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6390,plain,
% 33.37/21.97 (((~v90(constB24, bitIndex2)) | (~v100(constB24)) | v129(constB24, bitIndex2)) <=> ((~v90(constB24, bitIndex2)) | v129(constB24, bitIndex2) | (~v100(constB24)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6391,plain,
% 33.37/21.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~v100(constB24)) | v129(constB24, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | v129(constB24, bitIndex2) | (~v100(constB24))))),
% 33.37/21.97 inference(monotonicity,[status(thm)],[6390])).
% 33.37/21.97 tff(6392,plain,
% 33.37/21.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~v100(constB24)) | v129(constB24, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | v129(constB24, bitIndex2) | (~v100(constB24)))),
% 33.37/21.97 inference(transitivity,[status(thm)],[6391, 6389])).
% 33.37/21.97 tff(6393,plain,
% 33.37/21.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~v100(constB24)) | v129(constB24, bitIndex2))),
% 33.37/21.97 inference(quant_inst,[status(thm)],[])).
% 33.37/21.97 tff(6394,plain,
% 33.37/21.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | v129(constB24, bitIndex2) | (~v100(constB24))),
% 33.37/21.97 inference(modus_ponens,[status(thm)],[6393, 6392])).
% 33.37/21.97 tff(6395,plain,
% 33.37/21.97 (v129(constB24, bitIndex2) | (~v100(constB24))),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6394, 722, 6388])).
% 33.37/21.97 tff(6396,plain,
% 33.37/21.97 (v129(constB24, bitIndex2)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6395, 6346])).
% 33.37/21.97 tff(6397,plain,
% 33.37/21.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex2) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex2) | (~v129(constB24, bitIndex2)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6398,plain,
% 33.37/21.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex2) | (~v129(constB24, bitIndex2)))),
% 33.37/21.97 inference(quant_inst,[status(thm)],[])).
% 33.37/21.97 tff(6399,plain,
% 33.37/21.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex2) | (~v129(constB24, bitIndex2))),
% 33.37/21.97 inference(modus_ponens,[status(thm)],[6398, 6397])).
% 33.37/21.97 tff(6400,plain,
% 33.37/21.97 (v127(constB23, bitIndex2) | (~v129(constB24, bitIndex2))),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6399, 707, 3817])).
% 33.37/21.97 tff(6401,plain,
% 33.37/21.97 (v127(constB23, bitIndex2)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6400, 6396])).
% 33.37/21.97 tff(6402,plain,
% 33.37/21.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB23, bitIndex2)) | v26(constB23) | v130(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB23, bitIndex2)) | v26(constB23) | v130(constB23, bitIndex2))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6403,plain,
% 33.37/21.97 ((v26(constB23) | v130(constB23, bitIndex2) | (~v127(constB23, bitIndex2))) <=> ((~v127(constB23, bitIndex2)) | v26(constB23) | v130(constB23, bitIndex2))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6404,plain,
% 33.37/21.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB23) | v130(constB23, bitIndex2) | (~v127(constB23, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB23, bitIndex2)) | v26(constB23) | v130(constB23, bitIndex2)))),
% 33.37/21.97 inference(monotonicity,[status(thm)],[6403])).
% 33.37/21.97 tff(6405,plain,
% 33.37/21.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB23) | v130(constB23, bitIndex2) | (~v127(constB23, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB23, bitIndex2)) | v26(constB23) | v130(constB23, bitIndex2))),
% 33.37/21.97 inference(transitivity,[status(thm)],[6404, 6402])).
% 33.37/21.97 tff(6406,plain,
% 33.37/21.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB23) | v130(constB23, bitIndex2) | (~v127(constB23, bitIndex2)))),
% 33.37/21.97 inference(quant_inst,[status(thm)],[])).
% 33.37/21.97 tff(6407,plain,
% 33.37/21.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB23, bitIndex2)) | v26(constB23) | v130(constB23, bitIndex2)),
% 33.37/21.97 inference(modus_ponens,[status(thm)],[6406, 6405])).
% 33.37/21.97 tff(6408,plain,
% 33.37/21.97 ((~v127(constB23, bitIndex2)) | v130(constB23, bitIndex2)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6407, 689, 3802])).
% 33.37/21.97 tff(6409,plain,
% 33.37/21.97 (v130(constB23, bitIndex2)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6408, 6401])).
% 33.37/21.97 tff(6410,plain,
% 33.37/21.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB23) | (~v130(constB23, bitIndex2)) | v120(constB23) | v124(constB23) | v121(constB23) | v122(constB23) | v123(constB23))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB23) | (~v130(constB23, bitIndex2)) | v120(constB23) | v124(constB23) | v121(constB23) | v122(constB23) | v123(constB23))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6411,plain,
% 33.37/21.97 ((v120(constB23) | v119(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, bitIndex2))) <=> (v119(constB23) | (~v130(constB23, bitIndex2)) | v120(constB23) | v124(constB23) | v121(constB23) | v122(constB23) | v123(constB23))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6412,plain,
% 33.37/21.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB23) | v119(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB23) | (~v130(constB23, bitIndex2)) | v120(constB23) | v124(constB23) | v121(constB23) | v122(constB23) | v123(constB23)))),
% 33.37/21.97 inference(monotonicity,[status(thm)],[6411])).
% 33.37/21.97 tff(6413,plain,
% 33.37/21.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB23) | v119(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB23) | (~v130(constB23, bitIndex2)) | v120(constB23) | v124(constB23) | v121(constB23) | v122(constB23) | v123(constB23))),
% 33.37/21.97 inference(transitivity,[status(thm)],[6412, 6410])).
% 33.37/21.97 tff(6414,plain,
% 33.37/21.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB23) | v119(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, bitIndex2)))),
% 33.37/21.97 inference(quant_inst,[status(thm)],[])).
% 33.37/21.97 tff(6415,plain,
% 33.37/21.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB23) | (~v130(constB23, bitIndex2)) | v120(constB23) | v124(constB23) | v121(constB23) | v122(constB23) | v123(constB23)),
% 33.37/21.97 inference(modus_ponens,[status(thm)],[6414, 6413])).
% 33.37/21.97 tff(6416,plain,
% 33.37/21.97 (v121(constB23)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6415, 2244, 6409, 6387, 6386, 6382, 6378, 6372])).
% 33.37/21.97 tff(6417,plain,
% 33.37/21.97 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB23)) | (~v130(constB23, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB23)) | (~v130(constB23, bitIndex2)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6418,plain,
% 33.37/21.97 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB23)) | (~v130(constB23, bitIndex2)))),
% 33.37/21.97 inference(quant_inst,[status(thm)],[])).
% 33.37/21.97 tff(6419,plain,
% 33.37/21.97 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB23)) | (~v130(constB23, bitIndex2))),
% 33.37/21.97 inference(modus_ponens,[status(thm)],[6418, 6417])).
% 33.37/21.97 tff(6420,plain,
% 33.37/21.97 ($false),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6419, 1342, 6409, 6416])).
% 33.37/21.97 tff(6421,plain,((~v100(constB24)) | v120(constB23) | (~v90(constB24, bitIndex2)) | (~v90(constB24, bitIndex0)) | (~v90(constB24, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 33.37/21.97 tff(6422,plain,
% 33.37/21.97 (~v100(constB24)),
% 33.37/21.97 inference(unit_resolution,[status(thm)],[6421, 6345, 6223, 6257, 6224])).
% 33.37/21.97 tff(6423,plain,
% 33.37/21.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6424,plain,
% 33.37/21.97 (((~nextState(constB23, constB24)) | v90(constB23, bitIndex0) | v100(constB24) | (~v90(constB24, bitIndex0))) <=> (v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0)))),
% 33.37/21.97 inference(rewrite,[status(thm)],[])).
% 33.37/21.97 tff(6425,plain,
% 33.37/21.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex0) | v100(constB24) | (~v90(constB24, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0))))),
% 33.37/21.97 inference(monotonicity,[status(thm)],[6424])).
% 33.37/21.97 tff(6426,plain,
% 33.37/21.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex0) | v100(constB24) | (~v90(constB24, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0)))),
% 33.37/21.97 inference(transitivity,[status(thm)],[6425, 6423])).
% 33.37/21.97 tff(6427,plain,
% 33.37/21.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex0) | v100(constB24) | (~v90(constB24, bitIndex0)))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6428,plain,
% 33.37/21.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0))),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6427, 6426])).
% 33.37/21.98 tff(6429,plain,
% 33.37/21.98 (v90(constB23, bitIndex0) | v100(constB24) | (~v90(constB24, bitIndex0))),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6428, 455, 3817])).
% 33.37/21.98 tff(6430,plain,
% 33.37/21.98 (v90(constB23, bitIndex0)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6429, 6422, 6223])).
% 33.37/21.98 tff(6431,plain,
% 33.37/21.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6432,plain,
% 33.37/21.98 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0))) <=> (v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6433,plain,
% 33.37/21.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0))))),
% 33.37/21.98 inference(monotonicity,[status(thm)],[6432])).
% 33.37/21.98 tff(6434,plain,
% 33.37/21.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 33.37/21.98 inference(transitivity,[status(thm)],[6433, 6431])).
% 33.37/21.98 tff(6435,plain,
% 33.37/21.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6436,plain,
% 33.37/21.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0))),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6435, 6434])).
% 33.37/21.98 tff(6437,plain,
% 33.37/21.98 (v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0))),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6436, 455, 3682])).
% 33.37/21.98 tff(6438,plain,
% 33.37/21.98 (v90(constB22, bitIndex0) | (~v90(constB23, bitIndex0))),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6437, 3694])).
% 33.37/21.98 tff(6439,plain,
% 33.37/21.98 (v90(constB22, bitIndex0)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6438, 6430])).
% 33.37/21.98 tff(6440,plain,
% 33.37/21.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6441,plain,
% 33.37/21.98 (((~nextState(constB23, constB24)) | v90(constB23, bitIndex1) | v100(constB24) | (~v90(constB24, bitIndex1))) <=> (v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6442,plain,
% 33.37/21.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex1) | v100(constB24) | (~v90(constB24, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1))))),
% 33.37/21.98 inference(monotonicity,[status(thm)],[6441])).
% 33.37/21.98 tff(6443,plain,
% 33.37/21.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex1) | v100(constB24) | (~v90(constB24, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1)))),
% 33.37/21.98 inference(transitivity,[status(thm)],[6442, 6440])).
% 33.37/21.98 tff(6444,plain,
% 33.37/21.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex1) | v100(constB24) | (~v90(constB24, bitIndex1)))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6445,plain,
% 33.37/21.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB23, bitIndex1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex1))),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6444, 6443])).
% 33.37/21.98 tff(6446,plain,
% 33.37/21.98 (v90(constB23, bitIndex1) | v100(constB24) | (~v90(constB24, bitIndex1))),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6445, 434, 3817])).
% 33.37/21.98 tff(6447,plain,
% 33.37/21.98 (v90(constB23, bitIndex1)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6446, 6422, 6224])).
% 33.37/21.98 tff(6448,plain,
% 33.37/21.98 (v90(constB22, bitIndex1)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[3754, 6447])).
% 33.37/21.98 tff(6449,assumption,(v120(constB21)), introduced(assumption)).
% 33.37/21.98 tff(6450,plain,
% 33.37/21.98 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB21) | (~v120(constB21)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB21) | (~v120(constB21)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6451,plain,
% 33.37/21.98 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB21) | (~v120(constB21)))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6452,plain,
% 33.37/21.98 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB21) | (~v120(constB21))),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6451, 6450])).
% 33.37/21.98 tff(6453,plain,
% 33.37/21.98 (v118(constB21)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6452, 936, 6449])).
% 33.37/21.98 tff(6454,plain,
% 33.37/21.98 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB21) | (~v118(constB21)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB21) | (~v118(constB21)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6455,plain,
% 33.37/21.98 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB21) | (~v118(constB21)))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6456,plain,
% 33.37/21.98 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB21) | (~v118(constB21))),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6455, 6454])).
% 33.37/21.98 tff(6457,plain,
% 33.37/21.98 (v117(constB21)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6456, 498, 6453])).
% 33.37/21.98 tff(6458,plain,
% 33.37/21.98 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB21) | (~v117(constB21)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB21) | (~v117(constB21)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6459,plain,
% 33.37/21.98 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB21) | (~v117(constB21)))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6460,plain,
% 33.37/21.98 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB21) | (~v117(constB21))),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6459, 6458])).
% 33.37/21.98 tff(6461,plain,
% 33.37/21.98 (v116(constB21)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6460, 509, 6457])).
% 33.37/21.98 tff(6462,plain,
% 33.37/21.98 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB21) | (~v116(constB21)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB21) | (~v116(constB21)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6463,plain,
% 33.37/21.98 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB21) | (~v116(constB21)))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6464,plain,
% 33.37/21.98 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB21) | (~v116(constB21))),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6463, 6462])).
% 33.37/21.98 tff(6465,plain,
% 33.37/21.98 (v115(constB21)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6464, 520, 6461])).
% 33.37/21.98 tff(6466,plain,
% 33.37/21.98 (v114(constB21)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[3590, 531, 6465])).
% 33.37/21.98 tff(6467,plain,
% 33.37/21.98 (v113(constB21)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[3594, 542, 6466])).
% 33.37/21.98 tff(6468,plain,
% 33.37/21.98 (v112(constB21)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[3606, 6467])).
% 33.37/21.98 tff(6469,plain,
% 33.37/21.98 (v108(constB21)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[3610, 568, 6468])).
% 33.37/21.98 tff(6470,plain,
% 33.37/21.98 (v110(constB22)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[3621, 6469])).
% 33.37/21.98 tff(6471,plain,
% 33.37/21.98 (v100(constB22)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[3653, 6470])).
% 33.37/21.98 tff(6472,plain,
% 33.37/21.98 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB21)) | (~v130(constB21, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB21)) | (~v130(constB21, bitIndex2)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6473,plain,
% 33.37/21.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB21)) | (~v130(constB21, bitIndex2)))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6474,plain,
% 33.37/21.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB21)) | (~v130(constB21, bitIndex2))),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6473, 6472])).
% 33.37/21.98 tff(6475,plain,
% 33.37/21.98 (~v130(constB21, bitIndex2)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6474, 1025, 6449])).
% 33.37/21.98 tff(6476,plain,
% 33.37/21.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6477,plain,
% 33.37/21.98 ((v26(constB21) | v130(constB21, bitIndex2) | (~v127(constB21, bitIndex2))) <=> ((~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6478,plain,
% 33.37/21.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB21) | v130(constB21, bitIndex2) | (~v127(constB21, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2)))),
% 33.37/21.98 inference(monotonicity,[status(thm)],[6477])).
% 33.37/21.98 tff(6479,plain,
% 33.37/21.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB21) | v130(constB21, bitIndex2) | (~v127(constB21, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2))),
% 33.37/21.98 inference(transitivity,[status(thm)],[6478, 6476])).
% 33.37/21.98 tff(6480,plain,
% 33.37/21.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB21) | v130(constB21, bitIndex2) | (~v127(constB21, bitIndex2)))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6481,plain,
% 33.37/21.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB21, bitIndex2)) | v26(constB21) | v130(constB21, bitIndex2)),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6480, 6479])).
% 33.37/21.98 tff(6482,plain,
% 33.37/21.98 ((~v127(constB21, bitIndex2)) | v130(constB21, bitIndex2)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6481, 689, 3599])).
% 33.37/21.98 tff(6483,plain,
% 33.37/21.98 (~v127(constB21, bitIndex2)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6482, 6475])).
% 33.37/21.98 tff(6484,plain,
% 33.37/21.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex2) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex2) | (~v129(constB22, bitIndex2)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6485,plain,
% 33.37/21.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex2) | (~v129(constB22, bitIndex2)))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6486,plain,
% 33.37/21.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex2) | (~v129(constB22, bitIndex2))),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6485, 6484])).
% 33.37/21.98 tff(6487,plain,
% 33.37/21.98 (v127(constB21, bitIndex2) | (~v129(constB22, bitIndex2))),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6486, 707, 3614])).
% 33.37/21.98 tff(6488,plain,
% 33.37/21.98 (~v129(constB22, bitIndex2)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6487, 6483])).
% 33.37/21.98 tff(6489,plain,
% 33.37/21.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6490,plain,
% 33.37/21.98 (((~v90(constB22, bitIndex2)) | (~v100(constB22)) | v129(constB22, bitIndex2)) <=> ((~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6491,plain,
% 33.37/21.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~v100(constB22)) | v129(constB22, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22))))),
% 33.37/21.98 inference(monotonicity,[status(thm)],[6490])).
% 33.37/21.98 tff(6492,plain,
% 33.37/21.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~v100(constB22)) | v129(constB22, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22)))),
% 33.37/21.98 inference(transitivity,[status(thm)],[6491, 6489])).
% 33.37/21.98 tff(6493,plain,
% 33.37/21.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~v100(constB22)) | v129(constB22, bitIndex2))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6494,plain,
% 33.37/21.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | v129(constB22, bitIndex2) | (~v100(constB22))),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6493, 6492])).
% 33.37/21.98 tff(6495,plain,
% 33.37/21.98 ((~v90(constB22, bitIndex2)) | (~v100(constB22))),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6494, 722, 6488])).
% 33.37/21.98 tff(6496,plain,
% 33.37/21.98 (~v90(constB22, bitIndex2)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6495, 6471])).
% 33.37/21.98 tff(6497,plain,
% 33.37/21.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6498,plain,
% 33.37/21.98 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex2) | v100(constB23) | (~v90(constB23, bitIndex2))) <=> (v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6499,plain,
% 33.37/21.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex2) | v100(constB23) | (~v90(constB23, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2))))),
% 33.37/21.98 inference(monotonicity,[status(thm)],[6498])).
% 33.37/21.98 tff(6500,plain,
% 33.37/21.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex2) | v100(constB23) | (~v90(constB23, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2)))),
% 33.37/21.98 inference(transitivity,[status(thm)],[6499, 6497])).
% 33.37/21.98 tff(6501,plain,
% 33.37/21.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex2) | v100(constB23) | (~v90(constB23, bitIndex2)))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6502,plain,
% 33.37/21.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex2))),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6501, 6500])).
% 33.37/21.98 tff(6503,plain,
% 33.37/21.98 (v90(constB22, bitIndex2) | v100(constB23) | (~v90(constB23, bitIndex2))),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6502, 413, 3682])).
% 33.37/21.98 tff(6504,plain,
% 33.37/21.98 (v90(constB22, bitIndex2) | (~v90(constB23, bitIndex2))),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6503, 3694])).
% 33.37/21.98 tff(6505,plain,
% 33.37/21.98 (~v90(constB23, bitIndex2)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6504, 6496])).
% 33.37/21.98 tff(6506,plain,
% 33.37/21.98 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB21)) | v130(constB21, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB21)) | v130(constB21, bitIndex1))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6507,plain,
% 33.37/21.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB21)) | v130(constB21, bitIndex1))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6508,plain,
% 33.37/21.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB21)) | v130(constB21, bitIndex1)),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6507, 6506])).
% 33.37/21.98 tff(6509,plain,
% 33.37/21.98 (v130(constB21, bitIndex1)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6508, 1087, 6449])).
% 33.37/21.98 tff(6510,plain,
% 33.37/21.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB21) | (~v130(constB21, bitIndex1)) | v127(constB21, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB21) | (~v130(constB21, bitIndex1)) | v127(constB21, bitIndex1))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6511,plain,
% 33.37/21.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB21) | (~v130(constB21, bitIndex1)) | v127(constB21, bitIndex1))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6512,plain,
% 33.37/21.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB21) | (~v130(constB21, bitIndex1)) | v127(constB21, bitIndex1)),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6511, 6510])).
% 33.37/21.98 tff(6513,plain,
% 33.37/21.98 ((~v130(constB21, bitIndex1)) | v127(constB21, bitIndex1)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6512, 1101, 3599])).
% 33.37/21.98 tff(6514,plain,
% 33.37/21.98 (v127(constB21, bitIndex1)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6513, 6509])).
% 33.37/21.98 tff(6515,plain,
% 33.37/21.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex1)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex1)) | v129(constB22, bitIndex1))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6516,plain,
% 33.37/21.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex1)) | v129(constB22, bitIndex1))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6517,plain,
% 33.37/21.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex1)) | v129(constB22, bitIndex1)),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 33.37/21.98 tff(6518,plain,
% 33.37/21.98 ((~v127(constB21, bitIndex1)) | v129(constB22, bitIndex1)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6517, 1116, 3614])).
% 33.37/21.98 tff(6519,plain,
% 33.37/21.98 (v129(constB22, bitIndex1)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6518, 6514])).
% 33.37/21.98 tff(6520,plain,
% 33.37/21.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~v129(constB22, bitIndex1)) | (~v100(constB22)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~v129(constB22, bitIndex1)) | (~v100(constB22)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6521,plain,
% 33.37/21.98 ((v90(constB22, bitIndex1) | (~v100(constB22)) | (~v129(constB22, bitIndex1))) <=> (v90(constB22, bitIndex1) | (~v129(constB22, bitIndex1)) | (~v100(constB22)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6522,plain,
% 33.37/21.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~v100(constB22)) | (~v129(constB22, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~v129(constB22, bitIndex1)) | (~v100(constB22))))),
% 33.37/21.98 inference(monotonicity,[status(thm)],[6521])).
% 33.37/21.98 tff(6523,plain,
% 33.37/21.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~v100(constB22)) | (~v129(constB22, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~v129(constB22, bitIndex1)) | (~v100(constB22)))),
% 33.37/21.98 inference(transitivity,[status(thm)],[6522, 6520])).
% 33.37/21.98 tff(6524,plain,
% 33.37/21.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~v100(constB22)) | (~v129(constB22, bitIndex1)))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6525,plain,
% 33.37/21.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~v129(constB22, bitIndex1)) | (~v100(constB22))),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6524, 6523])).
% 33.37/21.98 tff(6526,plain,
% 33.37/21.98 (v90(constB22, bitIndex1) | (~v100(constB22))),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6525, 1131, 6519])).
% 33.37/21.98 tff(6527,plain,
% 33.37/21.98 (v90(constB22, bitIndex1)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6526, 6471])).
% 33.37/21.98 tff(6528,plain,
% 33.37/21.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex1))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6529,plain,
% 33.37/21.98 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex1)) | v100(constB23) | v90(constB23, bitIndex1)) <=> ((~v90(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex1))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6530,plain,
% 33.37/21.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex1)) | v100(constB23) | v90(constB23, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex1)))),
% 33.37/21.98 inference(monotonicity,[status(thm)],[6529])).
% 33.37/21.98 tff(6531,plain,
% 33.37/21.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex1)) | v100(constB23) | v90(constB23, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex1))),
% 33.37/21.98 inference(transitivity,[status(thm)],[6530, 6528])).
% 33.37/21.98 tff(6532,plain,
% 33.37/21.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex1)) | v100(constB23) | v90(constB23, bitIndex1))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6533,plain,
% 33.37/21.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex1)),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6532, 6531])).
% 33.37/21.98 tff(6534,plain,
% 33.37/21.98 ((~v90(constB22, bitIndex1)) | v100(constB23) | v90(constB23, bitIndex1)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6533, 1149, 3682])).
% 33.37/21.98 tff(6535,plain,
% 33.37/21.98 ((~v90(constB22, bitIndex1)) | v90(constB23, bitIndex1)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6534, 3694])).
% 33.37/21.98 tff(6536,plain,
% 33.37/21.98 (v90(constB23, bitIndex1)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6535, 6527])).
% 33.37/21.98 tff(6537,plain,
% 33.37/21.98 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB21)) | (~v130(constB21, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB21)) | (~v130(constB21, bitIndex0)))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6538,plain,
% 33.37/21.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB21)) | (~v130(constB21, bitIndex0)))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6539,plain,
% 33.37/21.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB21)) | (~v130(constB21, bitIndex0))),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6538, 6537])).
% 33.37/21.98 tff(6540,plain,
% 33.37/21.98 (~v130(constB21, bitIndex0)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6539, 1168, 6449])).
% 33.37/21.98 tff(6541,plain,
% 33.37/21.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6542,plain,
% 33.37/21.98 ((v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0))) <=> ((~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))),
% 33.37/21.98 inference(rewrite,[status(thm)],[])).
% 33.37/21.98 tff(6543,plain,
% 33.37/21.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0)))),
% 33.37/21.98 inference(monotonicity,[status(thm)],[6542])).
% 33.37/21.98 tff(6544,plain,
% 33.37/21.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))),
% 33.37/21.98 inference(transitivity,[status(thm)],[6543, 6541])).
% 33.37/21.98 tff(6545,plain,
% 33.37/21.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0)))),
% 33.37/21.98 inference(quant_inst,[status(thm)],[])).
% 33.37/21.98 tff(6546,plain,
% 33.37/21.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0)),
% 33.37/21.98 inference(modus_ponens,[status(thm)],[6545, 6544])).
% 33.37/21.98 tff(6547,plain,
% 33.37/21.98 ((~v127(constB21, bitIndex0)) | v130(constB21, bitIndex0)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6546, 1182, 3599])).
% 33.37/21.98 tff(6548,plain,
% 33.37/21.98 (~v127(constB21, bitIndex0)),
% 33.37/21.98 inference(unit_resolution,[status(thm)],[6547, 6540])).
% 33.37/21.98 tff(6549,plain,
% 33.37/21.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6550,plain,
% 33.37/21.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0)))),
% 33.37/21.99 inference(quant_inst,[status(thm)],[])).
% 33.37/21.99 tff(6551,plain,
% 33.37/21.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0))),
% 33.37/21.99 inference(modus_ponens,[status(thm)],[6550, 6549])).
% 33.37/21.99 tff(6552,plain,
% 33.37/21.99 (v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0))),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6551, 1200, 3614])).
% 33.37/21.99 tff(6553,plain,
% 33.37/21.99 (~v129(constB22, bitIndex0)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6552, 6548])).
% 33.37/21.99 tff(6554,plain,
% 33.37/21.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6555,plain,
% 33.37/21.99 (((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0)) <=> ((~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6556,plain,
% 33.37/21.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22))))),
% 33.37/21.99 inference(monotonicity,[status(thm)],[6555])).
% 33.37/21.99 tff(6557,plain,
% 33.37/21.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))),
% 33.37/21.99 inference(transitivity,[status(thm)],[6556, 6554])).
% 33.37/21.99 tff(6558,plain,
% 33.37/21.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0))),
% 33.37/21.99 inference(quant_inst,[status(thm)],[])).
% 33.37/21.99 tff(6559,plain,
% 33.37/21.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22))),
% 33.37/21.99 inference(modus_ponens,[status(thm)],[6558, 6557])).
% 33.37/21.99 tff(6560,plain,
% 33.37/21.99 ((~v90(constB22, bitIndex0)) | (~v100(constB22))),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6559, 1215, 6553])).
% 33.37/21.99 tff(6561,plain,
% 33.37/21.99 (~v90(constB22, bitIndex0)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6560, 6471])).
% 33.37/21.99 tff(6562,plain,
% 33.37/21.99 (~v90(constB23, bitIndex0)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6438, 6561])).
% 33.37/21.99 tff(6563,plain,
% 33.37/21.99 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB23, bitIndex0) | (~v90(constB23, bitIndex1)) | v90(constB23, bitIndex2) | v121(constB23))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB23, bitIndex0) | (~v90(constB23, bitIndex1)) | v90(constB23, bitIndex2) | v121(constB23))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6564,plain,
% 33.37/21.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB23, bitIndex0) | (~v90(constB23, bitIndex1)) | v90(constB23, bitIndex2) | v121(constB23))),
% 33.37/21.99 inference(quant_inst,[status(thm)],[])).
% 33.37/21.99 tff(6565,plain,
% 33.37/21.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB23, bitIndex0) | (~v90(constB23, bitIndex1)) | v90(constB23, bitIndex2) | v121(constB23)),
% 33.37/21.99 inference(modus_ponens,[status(thm)],[6564, 6563])).
% 33.37/21.99 tff(6566,plain,
% 33.37/21.99 (v121(constB23)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6565, 1242, 6562, 6536, 6505])).
% 33.37/21.99 tff(6567,plain,
% 33.37/21.99 (v100(constB24)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6429, 6562, 6373])).
% 33.37/21.99 tff(6568,plain,
% 33.37/21.99 (v129(constB24, bitIndex2)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6395, 6567])).
% 33.37/21.99 tff(6569,plain,
% 33.37/21.99 (v127(constB23, bitIndex2)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6400, 6568])).
% 33.37/21.99 tff(6570,plain,
% 33.37/21.99 (v130(constB23, bitIndex2)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6408, 6569])).
% 33.37/21.99 tff(6571,plain,
% 33.37/21.99 ($false),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6419, 1342, 6570, 6566])).
% 33.37/21.99 tff(6572,plain,((~v120(constB21)) | (~v90(constB24, bitIndex2)) | (~v90(constB24, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 33.37/21.99 tff(6573,plain,
% 33.37/21.99 (~v120(constB21)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6572, 6345, 6223])).
% 33.37/21.99 tff(6574,plain,
% 33.37/21.99 (v90(constB23, bitIndex2)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[4067, 6422, 6345])).
% 33.37/21.99 tff(6575,plain,
% 33.37/21.99 (v90(constB22, bitIndex2)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6504, 6574])).
% 33.37/21.99 tff(6576,assumption,(v100(constB22)), introduced(assumption)).
% 33.37/21.99 tff(6577,assumption,(v90(constB22, bitIndex2)), introduced(assumption)).
% 33.37/21.99 tff(6578,plain,
% 33.37/21.99 (v129(constB22, bitIndex2) | (~v100(constB22))),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6494, 722, 6577])).
% 33.37/21.99 tff(6579,plain,
% 33.37/21.99 (v129(constB22, bitIndex2)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6578, 6576])).
% 33.37/21.99 tff(6580,plain,
% 33.37/21.99 (v127(constB21, bitIndex2)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6487, 6579])).
% 33.37/21.99 tff(6581,plain,
% 33.37/21.99 (v130(constB21, bitIndex2)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6482, 6580])).
% 33.37/21.99 tff(6582,plain,
% 33.37/21.99 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB21)) | (~v130(constB21, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB21)) | (~v130(constB21, bitIndex2)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6583,plain,
% 33.37/21.99 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB21)) | (~v130(constB21, bitIndex2)))),
% 33.37/21.99 inference(quant_inst,[status(thm)],[])).
% 33.37/21.99 tff(6584,plain,
% 33.37/21.99 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB21)) | (~v130(constB21, bitIndex2))),
% 33.37/21.99 inference(modus_ponens,[status(thm)],[6583, 6582])).
% 33.37/21.99 tff(6585,plain,
% 33.37/21.99 (~v121(constB21)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6584, 1342, 6581])).
% 33.37/21.99 tff(6586,assumption,(v90(constB22, bitIndex1)), introduced(assumption)).
% 33.37/21.99 tff(6587,plain,
% 33.37/21.99 (v129(constB22, bitIndex1) | (~v100(constB22))),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[3744, 814, 6586])).
% 33.37/21.99 tff(6588,plain,
% 33.37/21.99 (v129(constB22, bitIndex1)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6587, 6576])).
% 33.37/21.99 tff(6589,plain,
% 33.37/21.99 (v127(constB21, bitIndex1)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[3737, 6588])).
% 33.37/21.99 tff(6590,plain,
% 33.37/21.99 (v130(constB21, bitIndex1)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[3732, 6589])).
% 33.37/21.99 tff(6591,plain,
% 33.37/21.99 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB21)) | (~v130(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB21)) | (~v130(constB21, bitIndex1)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6592,plain,
% 33.37/21.99 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB21)) | (~v130(constB21, bitIndex1)))),
% 33.37/21.99 inference(quant_inst,[status(thm)],[])).
% 33.37/21.99 tff(6593,plain,
% 33.37/21.99 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB21)) | (~v130(constB21, bitIndex1))),
% 33.37/21.99 inference(modus_ponens,[status(thm)],[6592, 6591])).
% 33.37/21.99 tff(6594,plain,
% 33.37/21.99 (~v119(constB21)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6593, 767, 6590])).
% 33.37/21.99 tff(6595,plain,
% 33.37/21.99 (~v123(constB21)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[3706, 1909, 6590])).
% 33.37/21.99 tff(6596,plain,
% 33.37/21.99 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB21)) | (~v130(constB21, bitIndex1)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6597,plain,
% 33.37/21.99 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex1)))),
% 33.37/21.99 inference(quant_inst,[status(thm)],[])).
% 33.37/21.99 tff(6598,plain,
% 33.37/21.99 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB21)) | (~v130(constB21, bitIndex1))),
% 33.37/21.99 inference(modus_ponens,[status(thm)],[6597, 6596])).
% 33.37/21.99 tff(6599,plain,
% 33.37/21.99 (~v122(constB21)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6598, 1677, 6590])).
% 33.37/21.99 tff(6600,assumption,(v90(constB22, bitIndex0)), introduced(assumption)).
% 33.37/21.99 tff(6601,plain,
% 33.37/21.99 (v129(constB22, bitIndex0) | (~v100(constB22))),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6559, 1215, 6600])).
% 33.37/21.99 tff(6602,plain,
% 33.37/21.99 (v129(constB22, bitIndex0)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6601, 6576])).
% 33.37/21.99 tff(6603,plain,
% 33.37/21.99 (v127(constB21, bitIndex0)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6552, 6602])).
% 33.37/21.99 tff(6604,plain,
% 33.37/21.99 (v130(constB21, bitIndex0)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6547, 6603])).
% 33.37/21.99 tff(6605,plain,
% 33.37/21.99 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB21)) | (~v130(constB21, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB21)) | (~v130(constB21, bitIndex0)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6606,plain,
% 33.37/21.99 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB21)) | (~v130(constB21, bitIndex0)))),
% 33.37/21.99 inference(quant_inst,[status(thm)],[])).
% 33.37/21.99 tff(6607,plain,
% 33.37/21.99 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB21)) | (~v130(constB21, bitIndex0))),
% 33.37/21.99 inference(modus_ponens,[status(thm)],[6606, 6605])).
% 33.37/21.99 tff(6608,plain,
% 33.37/21.99 (~v124(constB21)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6607, 2277, 6604])).
% 33.37/21.99 tff(6609,assumption,(~v120(constB21)), introduced(assumption)).
% 33.37/21.99 tff(6610,plain,
% 33.37/21.99 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB21, bitIndex1)) | v124(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21) | v123(constB21))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB21, bitIndex1)) | v124(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21) | v123(constB21))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6611,plain,
% 33.37/21.99 ((v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, bitIndex1))) <=> ((~v130(constB21, bitIndex1)) | v124(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21) | v123(constB21))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6612,plain,
% 33.37/21.99 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB21, bitIndex1)) | v124(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21) | v123(constB21)))),
% 33.37/21.99 inference(monotonicity,[status(thm)],[6611])).
% 33.37/21.99 tff(6613,plain,
% 33.37/21.99 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB21, bitIndex1)) | v124(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21) | v123(constB21))),
% 33.37/21.99 inference(transitivity,[status(thm)],[6612, 6610])).
% 33.37/21.99 tff(6614,plain,
% 33.37/21.99 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, bitIndex1)))),
% 33.37/21.99 inference(quant_inst,[status(thm)],[])).
% 33.37/21.99 tff(6615,plain,
% 33.37/21.99 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB21, bitIndex1)) | v124(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21) | v123(constB21)),
% 33.37/21.99 inference(modus_ponens,[status(thm)],[6614, 6613])).
% 33.37/21.99 tff(6616,plain,
% 33.37/21.99 (v124(constB21) | v121(constB21) | v119(constB21) | v122(constB21) | v123(constB21)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6615, 2448, 6590, 6609])).
% 33.37/21.99 tff(6617,plain,
% 33.37/21.99 ($false),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6616, 6608, 6599, 6595, 6594, 6585])).
% 33.37/21.99 tff(6618,plain,((~v100(constB22)) | v120(constB21) | (~v90(constB22, bitIndex0)) | (~v90(constB22, bitIndex2)) | (~v90(constB22, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 33.37/21.99 tff(6619,plain,
% 33.37/21.99 (~v100(constB22)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6618, 6575, 6573, 6439, 6448])).
% 33.37/21.99 tff(6620,plain,
% 33.37/21.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6621,plain,
% 33.37/21.99 (((~nextState(constB21, constB22)) | v90(constB21, bitIndex0) | v100(constB22) | (~v90(constB22, bitIndex0))) <=> (v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6622,plain,
% 33.37/21.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex0) | v100(constB22) | (~v90(constB22, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0))))),
% 33.37/21.99 inference(monotonicity,[status(thm)],[6621])).
% 33.37/21.99 tff(6623,plain,
% 33.37/21.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex0) | v100(constB22) | (~v90(constB22, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0)))),
% 33.37/21.99 inference(transitivity,[status(thm)],[6622, 6620])).
% 33.37/21.99 tff(6624,plain,
% 33.37/21.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex0) | v100(constB22) | (~v90(constB22, bitIndex0)))),
% 33.37/21.99 inference(quant_inst,[status(thm)],[])).
% 33.37/21.99 tff(6625,plain,
% 33.37/21.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0))),
% 33.37/21.99 inference(modus_ponens,[status(thm)],[6624, 6623])).
% 33.37/21.99 tff(6626,plain,
% 33.37/21.99 (v90(constB21, bitIndex0) | v100(constB22) | (~v90(constB22, bitIndex0))),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6625, 455, 3614])).
% 33.37/21.99 tff(6627,plain,
% 33.37/21.99 (v90(constB21, bitIndex0)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6626, 6619, 6439])).
% 33.37/21.99 tff(6628,plain,
% 33.37/21.99 (v90(constB20, bitIndex0)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[3566, 6627])).
% 33.37/21.99 tff(6629,plain,
% 33.37/21.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex2)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6630,plain,
% 33.37/21.99 (((~nextState(constB21, constB22)) | v90(constB21, bitIndex2) | v100(constB22) | (~v90(constB22, bitIndex2))) <=> (v90(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex2)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6631,plain,
% 33.37/21.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex2) | v100(constB22) | (~v90(constB22, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex2))))),
% 33.37/21.99 inference(monotonicity,[status(thm)],[6630])).
% 33.37/21.99 tff(6632,plain,
% 33.37/21.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex2) | v100(constB22) | (~v90(constB22, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex2)))),
% 33.37/21.99 inference(transitivity,[status(thm)],[6631, 6629])).
% 33.37/21.99 tff(6633,plain,
% 33.37/21.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex2) | v100(constB22) | (~v90(constB22, bitIndex2)))),
% 33.37/21.99 inference(quant_inst,[status(thm)],[])).
% 33.37/21.99 tff(6634,plain,
% 33.37/21.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex2))),
% 33.37/21.99 inference(modus_ponens,[status(thm)],[6633, 6632])).
% 33.37/21.99 tff(6635,plain,
% 33.37/21.99 (v90(constB21, bitIndex2) | v100(constB22) | (~v90(constB22, bitIndex2))),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6634, 413, 3614])).
% 33.37/21.99 tff(6636,plain,
% 33.37/21.99 (v90(constB21, bitIndex2)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6635, 6619, 6575])).
% 33.37/21.99 tff(6637,plain,
% 33.37/21.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6638,plain,
% 33.37/21.99 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2))) <=> (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6639,plain,
% 33.37/21.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2))))),
% 33.37/21.99 inference(monotonicity,[status(thm)],[6638])).
% 33.37/21.99 tff(6640,plain,
% 33.37/21.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 33.37/21.99 inference(transitivity,[status(thm)],[6639, 6637])).
% 33.37/21.99 tff(6641,plain,
% 33.37/21.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 33.37/21.99 inference(quant_inst,[status(thm)],[])).
% 33.37/21.99 tff(6642,plain,
% 33.37/21.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2))),
% 33.37/21.99 inference(modus_ponens,[status(thm)],[6641, 6640])).
% 33.37/21.99 tff(6643,plain,
% 33.37/21.99 (v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2))),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6642, 413, 3536])).
% 33.37/21.99 tff(6644,plain,
% 33.37/21.99 (v90(constB20, bitIndex2) | (~v90(constB21, bitIndex2))),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6643, 3548])).
% 33.37/21.99 tff(6645,plain,
% 33.37/21.99 (v90(constB20, bitIndex2)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6644, 6636])).
% 33.37/21.99 tff(6646,plain,
% 33.37/21.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex1)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6647,plain,
% 33.37/21.99 (((~nextState(constB21, constB22)) | v90(constB21, bitIndex1) | v100(constB22) | (~v90(constB22, bitIndex1))) <=> (v90(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex1)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6648,plain,
% 33.37/21.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex1) | v100(constB22) | (~v90(constB22, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex1))))),
% 33.37/21.99 inference(monotonicity,[status(thm)],[6647])).
% 33.37/21.99 tff(6649,plain,
% 33.37/21.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex1) | v100(constB22) | (~v90(constB22, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex1)))),
% 33.37/21.99 inference(transitivity,[status(thm)],[6648, 6646])).
% 33.37/21.99 tff(6650,plain,
% 33.37/21.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex1) | v100(constB22) | (~v90(constB22, bitIndex1)))),
% 33.37/21.99 inference(quant_inst,[status(thm)],[])).
% 33.37/21.99 tff(6651,plain,
% 33.37/21.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex1))),
% 33.37/21.99 inference(modus_ponens,[status(thm)],[6650, 6649])).
% 33.37/21.99 tff(6652,plain,
% 33.37/21.99 (v90(constB21, bitIndex1) | v100(constB22) | (~v90(constB22, bitIndex1))),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6651, 434, 3614])).
% 33.37/21.99 tff(6653,plain,
% 33.37/21.99 (v90(constB21, bitIndex1)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[6652, 6619, 6448])).
% 33.37/21.99 tff(6654,plain,
% 33.37/21.99 (v90(constB20, bitIndex1)),
% 33.37/21.99 inference(unit_resolution,[status(thm)],[3556, 6653])).
% 33.37/21.99 tff(6655,assumption,(v90(constB20, bitIndex0)), introduced(assumption)).
% 33.37/21.99 tff(6656,plain,
% 33.37/21.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6657,plain,
% 33.37/21.99 (((~nextState(constB19, constB20)) | v90(constB19, bitIndex0) | v100(constB20) | (~v90(constB20, bitIndex0))) <=> (v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0)))),
% 33.37/21.99 inference(rewrite,[status(thm)],[])).
% 33.37/21.99 tff(6658,plain,
% 33.37/21.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex0) | v100(constB20) | (~v90(constB20, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0))))),
% 33.37/21.99 inference(monotonicity,[status(thm)],[6657])).
% 33.37/21.99 tff(6659,plain,
% 33.37/21.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex0) | v100(constB20) | (~v90(constB20, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0)))),
% 33.37/21.99 inference(transitivity,[status(thm)],[6658, 6656])).
% 33.37/22.00 tff(6660,plain,
% 33.37/22.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex0) | v100(constB20) | (~v90(constB20, bitIndex0)))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6661,plain,
% 33.37/22.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0))),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6660, 6659])).
% 33.37/22.00 tff(6662,plain,
% 33.37/22.00 (v90(constB19, bitIndex0) | v100(constB20) | (~v90(constB20, bitIndex0))),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6661, 455, 3287])).
% 33.37/22.00 tff(6663,plain,
% 33.37/22.00 (v90(constB19, bitIndex0)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6662, 3381, 6655])).
% 33.37/22.00 tff(6664,plain,
% 33.37/22.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6665,plain,
% 33.37/22.00 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0))) <=> (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6666,plain,
% 33.37/22.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0))))),
% 33.37/22.00 inference(monotonicity,[status(thm)],[6665])).
% 33.37/22.00 tff(6667,plain,
% 33.37/22.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 33.37/22.00 inference(transitivity,[status(thm)],[6666, 6664])).
% 33.37/22.00 tff(6668,plain,
% 33.37/22.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6669,plain,
% 33.37/22.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0))),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6668, 6667])).
% 33.37/22.00 tff(6670,plain,
% 33.37/22.00 (v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0))),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6669, 455, 3165])).
% 33.37/22.00 tff(6671,plain,
% 33.37/22.00 (v90(constB18, bitIndex0) | (~v90(constB19, bitIndex0))),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6670, 3177])).
% 33.37/22.00 tff(6672,plain,
% 33.37/22.00 (v90(constB18, bitIndex0)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6671, 6663])).
% 33.37/22.00 tff(6673,assumption,(v90(constB20, bitIndex1)), introduced(assumption)).
% 33.37/22.00 tff(6674,plain,
% 33.37/22.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex1)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6675,plain,
% 33.37/22.00 (((~nextState(constB19, constB20)) | v90(constB19, bitIndex1) | v100(constB20) | (~v90(constB20, bitIndex1))) <=> (v90(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex1)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6676,plain,
% 33.37/22.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex1) | v100(constB20) | (~v90(constB20, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex1))))),
% 33.37/22.00 inference(monotonicity,[status(thm)],[6675])).
% 33.37/22.00 tff(6677,plain,
% 33.37/22.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex1) | v100(constB20) | (~v90(constB20, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex1)))),
% 33.37/22.00 inference(transitivity,[status(thm)],[6676, 6674])).
% 33.37/22.00 tff(6678,plain,
% 33.37/22.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex1) | v100(constB20) | (~v90(constB20, bitIndex1)))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6679,plain,
% 33.37/22.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex1))),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6678, 6677])).
% 33.37/22.00 tff(6680,plain,
% 33.37/22.00 (v90(constB19, bitIndex1) | v100(constB20) | (~v90(constB20, bitIndex1))),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6679, 434, 3287])).
% 33.37/22.00 tff(6681,plain,
% 33.37/22.00 (v90(constB19, bitIndex1)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6680, 3381, 6673])).
% 33.37/22.00 tff(6682,plain,
% 33.37/22.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex1)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6683,plain,
% 33.37/22.00 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex1) | v100(constB19) | (~v90(constB19, bitIndex1))) <=> (v90(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex1)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6684,plain,
% 33.37/22.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex1) | v100(constB19) | (~v90(constB19, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex1))))),
% 33.37/22.00 inference(monotonicity,[status(thm)],[6683])).
% 33.37/22.00 tff(6685,plain,
% 33.37/22.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex1) | v100(constB19) | (~v90(constB19, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex1)))),
% 33.37/22.00 inference(transitivity,[status(thm)],[6684, 6682])).
% 33.37/22.00 tff(6686,plain,
% 33.37/22.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex1) | v100(constB19) | (~v90(constB19, bitIndex1)))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6687,plain,
% 33.37/22.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex1))),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6686, 6685])).
% 33.37/22.00 tff(6688,plain,
% 33.37/22.00 (v90(constB18, bitIndex1) | v100(constB19) | (~v90(constB19, bitIndex1))),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6687, 434, 3165])).
% 33.37/22.00 tff(6689,plain,
% 33.37/22.00 (v90(constB18, bitIndex1) | (~v90(constB19, bitIndex1))),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6688, 3177])).
% 33.37/22.00 tff(6690,plain,
% 33.37/22.00 (v90(constB18, bitIndex1)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6689, 6681])).
% 33.37/22.00 tff(6691,assumption,(v90(constB20, bitIndex2)), introduced(assumption)).
% 33.37/22.00 tff(6692,plain,
% 33.37/22.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6693,plain,
% 33.37/22.00 (((~nextState(constB19, constB20)) | v90(constB19, bitIndex2) | v100(constB20) | (~v90(constB20, bitIndex2))) <=> (v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6694,plain,
% 33.37/22.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex2) | v100(constB20) | (~v90(constB20, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2))))),
% 33.37/22.00 inference(monotonicity,[status(thm)],[6693])).
% 33.37/22.00 tff(6695,plain,
% 33.37/22.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex2) | v100(constB20) | (~v90(constB20, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2)))),
% 33.37/22.00 inference(transitivity,[status(thm)],[6694, 6692])).
% 33.37/22.00 tff(6696,plain,
% 33.37/22.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex2) | v100(constB20) | (~v90(constB20, bitIndex2)))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6697,plain,
% 33.37/22.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2))),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6696, 6695])).
% 33.37/22.00 tff(6698,plain,
% 33.37/22.00 (v90(constB19, bitIndex2) | v100(constB20) | (~v90(constB20, bitIndex2))),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6697, 413, 3287])).
% 33.37/22.00 tff(6699,plain,
% 33.37/22.00 (v90(constB19, bitIndex2)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6698, 3381, 6691])).
% 33.37/22.00 tff(6700,plain,
% 33.37/22.00 (v90(constB18, bitIndex2)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[3185, 6699])).
% 33.37/22.00 tff(6701,plain,
% 33.37/22.00 (v100(constB18)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[3147, 6700, 6690, 6672])).
% 33.37/22.00 tff(6702,plain,
% 33.37/22.00 (v129(constB18, bitIndex0) | (~v100(constB18))),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[3101, 1215, 6672])).
% 33.37/22.00 tff(6703,plain,
% 33.37/22.00 (v129(constB18, bitIndex0)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6702, 6701])).
% 33.37/22.00 tff(6704,plain,
% 33.37/22.00 (v127(constB17, bitIndex0)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[3107, 6703])).
% 33.37/22.00 tff(6705,plain,
% 33.37/22.00 (~v26(constB17)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[3111, 3012, 6704])).
% 33.37/22.00 tff(6706,plain,
% 33.37/22.00 (v129(constB18, bitIndex2) | (~v100(constB18))),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[3118, 722, 6700])).
% 33.37/22.00 tff(6707,plain,
% 33.37/22.00 (v129(constB18, bitIndex2)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6706, 6701])).
% 33.37/22.00 tff(6708,plain,
% 33.37/22.00 (v127(constB17, bitIndex2)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[2760, 6707])).
% 33.37/22.00 tff(6709,plain,
% 33.37/22.00 (v130(constB17, bitIndex2)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[2751, 689, 6708, 6705])).
% 33.37/22.00 tff(6710,plain,
% 33.37/22.00 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB17)) | (~v130(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB17)) | (~v130(constB17, bitIndex2)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6711,plain,
% 33.37/22.00 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB17)) | (~v130(constB17, bitIndex2)))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6712,plain,
% 33.37/22.00 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB17)) | (~v130(constB17, bitIndex2))),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6711, 6710])).
% 33.37/22.00 tff(6713,plain,
% 33.37/22.00 (~v119(constB17)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6712, 675, 6709])).
% 33.37/22.00 tff(6714,plain,
% 33.37/22.00 (~v121(constB17)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[2740, 1342, 6709])).
% 33.37/22.00 tff(6715,plain,
% 33.37/22.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6716,plain,
% 33.37/22.00 ((v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0))) <=> ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6717,plain,
% 33.37/22.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0)))),
% 33.37/22.00 inference(monotonicity,[status(thm)],[6716])).
% 33.37/22.00 tff(6718,plain,
% 33.37/22.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 33.37/22.00 inference(transitivity,[status(thm)],[6717, 6715])).
% 33.37/22.00 tff(6719,plain,
% 33.37/22.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6720,plain,
% 33.37/22.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0)),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6719, 6718])).
% 33.37/22.00 tff(6721,plain,
% 33.37/22.00 (v130(constB17, bitIndex0)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6720, 1182, 6704, 6705])).
% 33.37/22.00 tff(6722,plain,
% 33.37/22.00 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB17)) | (~v130(constB17, bitIndex0)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6723,plain,
% 33.37/22.00 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex0)))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6724,plain,
% 33.37/22.00 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB17)) | (~v130(constB17, bitIndex0))),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6723, 6722])).
% 33.37/22.00 tff(6725,plain,
% 33.37/22.00 (~v120(constB17)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6724, 1168, 6721])).
% 33.37/22.00 tff(6726,plain,
% 33.37/22.00 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB17)) | (~v130(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB17)) | (~v130(constB17, bitIndex0)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6727,plain,
% 33.37/22.00 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB17)) | (~v130(constB17, bitIndex0)))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6728,plain,
% 33.37/22.00 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB17)) | (~v130(constB17, bitIndex0))),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6727, 6726])).
% 33.37/22.00 tff(6729,plain,
% 33.37/22.00 (~v122(constB17)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6728, 1721, 6721])).
% 33.37/22.00 tff(6730,plain,
% 33.37/22.00 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB17)) | (~v130(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB17)) | (~v130(constB17, bitIndex0)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6731,plain,
% 33.37/22.00 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB17)) | (~v130(constB17, bitIndex0)))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6732,plain,
% 33.37/22.00 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB17)) | (~v130(constB17, bitIndex0))),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6731, 6730])).
% 33.37/22.00 tff(6733,plain,
% 33.37/22.00 (~v124(constB17)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6732, 2277, 6721])).
% 33.37/22.00 tff(6734,plain,
% 33.37/22.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | v129(constB18, bitIndex1) | (~v100(constB18)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | v129(constB18, bitIndex1) | (~v100(constB18)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6735,plain,
% 33.37/22.00 (((~v90(constB18, bitIndex1)) | (~v100(constB18)) | v129(constB18, bitIndex1)) <=> ((~v90(constB18, bitIndex1)) | v129(constB18, bitIndex1) | (~v100(constB18)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6736,plain,
% 33.37/22.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~v100(constB18)) | v129(constB18, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | v129(constB18, bitIndex1) | (~v100(constB18))))),
% 33.37/22.00 inference(monotonicity,[status(thm)],[6735])).
% 33.37/22.00 tff(6737,plain,
% 33.37/22.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~v100(constB18)) | v129(constB18, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | v129(constB18, bitIndex1) | (~v100(constB18)))),
% 33.37/22.00 inference(transitivity,[status(thm)],[6736, 6734])).
% 33.37/22.00 tff(6738,plain,
% 33.37/22.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~v100(constB18)) | v129(constB18, bitIndex1))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6739,plain,
% 33.37/22.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | v129(constB18, bitIndex1) | (~v100(constB18))),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6738, 6737])).
% 33.37/22.00 tff(6740,plain,
% 33.37/22.00 (v129(constB18, bitIndex1) | (~v100(constB18))),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6739, 814, 6690])).
% 33.37/22.00 tff(6741,plain,
% 33.37/22.00 (v129(constB18, bitIndex1)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6740, 6701])).
% 33.37/22.00 tff(6742,plain,
% 33.37/22.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex1) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex1) | (~v129(constB18, bitIndex1)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6743,plain,
% 33.37/22.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex1) | (~v129(constB18, bitIndex1)))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6744,plain,
% 33.37/22.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex1) | (~v129(constB18, bitIndex1))),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6743, 6742])).
% 33.37/22.00 tff(6745,plain,
% 33.37/22.00 (v127(constB17, bitIndex1) | (~v129(constB18, bitIndex1))),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6744, 799, 2756])).
% 33.37/22.00 tff(6746,plain,
% 33.37/22.00 (v127(constB17, bitIndex1)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6745, 6741])).
% 33.37/22.00 tff(6747,plain,
% 33.37/22.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB17, bitIndex1)) | v26(constB17) | v130(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB17, bitIndex1)) | v26(constB17) | v130(constB17, bitIndex1))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6748,plain,
% 33.37/22.00 ((v26(constB17) | v130(constB17, bitIndex1) | (~v127(constB17, bitIndex1))) <=> ((~v127(constB17, bitIndex1)) | v26(constB17) | v130(constB17, bitIndex1))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6749,plain,
% 33.37/22.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB17) | v130(constB17, bitIndex1) | (~v127(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB17, bitIndex1)) | v26(constB17) | v130(constB17, bitIndex1)))),
% 33.37/22.00 inference(monotonicity,[status(thm)],[6748])).
% 33.37/22.00 tff(6750,plain,
% 33.37/22.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB17) | v130(constB17, bitIndex1) | (~v127(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB17, bitIndex1)) | v26(constB17) | v130(constB17, bitIndex1))),
% 33.37/22.00 inference(transitivity,[status(thm)],[6749, 6747])).
% 33.37/22.00 tff(6751,plain,
% 33.37/22.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB17) | v130(constB17, bitIndex1) | (~v127(constB17, bitIndex1)))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6752,plain,
% 33.37/22.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB17, bitIndex1)) | v26(constB17) | v130(constB17, bitIndex1)),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6751, 6750])).
% 33.37/22.00 tff(6753,plain,
% 33.37/22.00 (v130(constB17, bitIndex1)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6752, 781, 6746, 6705])).
% 33.37/22.00 tff(6754,plain,
% 33.37/22.00 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB17) | v120(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v119(constB17) | (~v130(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB17) | v120(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v119(constB17) | (~v130(constB17, bitIndex1)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6755,plain,
% 33.37/22.00 ((v120(constB17) | v119(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, bitIndex1))) <=> (v124(constB17) | v120(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v119(constB17) | (~v130(constB17, bitIndex1)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6756,plain,
% 33.37/22.00 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB17) | v119(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB17) | v120(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v119(constB17) | (~v130(constB17, bitIndex1))))),
% 33.37/22.00 inference(monotonicity,[status(thm)],[6755])).
% 33.37/22.00 tff(6757,plain,
% 33.37/22.00 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB17) | v119(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB17) | v120(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v119(constB17) | (~v130(constB17, bitIndex1)))),
% 33.37/22.00 inference(transitivity,[status(thm)],[6756, 6754])).
% 33.37/22.00 tff(6758,plain,
% 33.37/22.00 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB17) | v119(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, bitIndex1)))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6759,plain,
% 33.37/22.00 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB17) | v120(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v119(constB17) | (~v130(constB17, bitIndex1))),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6758, 6757])).
% 33.37/22.00 tff(6760,plain,
% 33.37/22.00 (v123(constB17)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6759, 2448, 6753, 6733, 6729, 6725, 6714, 6713])).
% 33.37/22.00 tff(6761,plain,
% 33.37/22.00 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB17)) | (~v130(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB17)) | (~v130(constB17, bitIndex1)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6762,plain,
% 33.37/22.00 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB17)) | (~v130(constB17, bitIndex1)))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6763,plain,
% 33.37/22.00 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB17)) | (~v130(constB17, bitIndex1))),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6762, 6761])).
% 33.37/22.00 tff(6764,plain,
% 33.37/22.00 ($false),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6763, 1909, 6753, 6760])).
% 33.37/22.00 tff(6765,plain,(v100(constB20) | (~v90(constB20, bitIndex1)) | (~v90(constB20, bitIndex2)) | (~v90(constB20, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 33.37/22.00 tff(6766,plain,
% 33.37/22.00 (v100(constB20)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6765, 6654, 6645, 6628])).
% 33.37/22.00 tff(6767,plain,
% 33.37/22.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6768,plain,
% 33.37/22.00 (((~v90(constB20, bitIndex2)) | (~v100(constB20)) | v129(constB20, bitIndex2)) <=> ((~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6769,plain,
% 33.37/22.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~v100(constB20)) | v129(constB20, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20))))),
% 33.37/22.00 inference(monotonicity,[status(thm)],[6768])).
% 33.37/22.00 tff(6770,plain,
% 33.37/22.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~v100(constB20)) | v129(constB20, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))),
% 33.37/22.00 inference(transitivity,[status(thm)],[6769, 6767])).
% 33.37/22.00 tff(6771,plain,
% 33.37/22.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~v100(constB20)) | v129(constB20, bitIndex2))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6772,plain,
% 33.37/22.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20))),
% 33.37/22.00 inference(modus_ponens,[status(thm)],[6771, 6770])).
% 33.37/22.00 tff(6773,plain,
% 33.37/22.00 (v129(constB20, bitIndex2) | (~v100(constB20))),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6772, 722, 6645])).
% 33.37/22.00 tff(6774,plain,
% 33.37/22.00 (v129(constB20, bitIndex2)),
% 33.37/22.00 inference(unit_resolution,[status(thm)],[6773, 6766])).
% 33.37/22.00 tff(6775,plain,
% 33.37/22.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))),
% 33.37/22.00 inference(rewrite,[status(thm)],[])).
% 33.37/22.00 tff(6776,plain,
% 33.37/22.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))),
% 33.37/22.00 inference(quant_inst,[status(thm)],[])).
% 33.37/22.00 tff(6777,plain,
% 33.37/22.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6776, 6775])).
% 33.37/22.01 tff(6778,plain,
% 33.37/22.01 (v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2))),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6777, 707, 3287])).
% 33.37/22.01 tff(6779,plain,
% 33.37/22.01 (v127(constB19, bitIndex2)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6778, 6774])).
% 33.37/22.01 tff(6780,plain,
% 33.37/22.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6781,plain,
% 33.37/22.01 ((v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2))) <=> ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6782,plain,
% 33.37/22.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2)))),
% 33.37/22.01 inference(monotonicity,[status(thm)],[6781])).
% 33.37/22.01 tff(6783,plain,
% 33.37/22.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 33.37/22.01 inference(transitivity,[status(thm)],[6782, 6780])).
% 33.37/22.01 tff(6784,plain,
% 33.37/22.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6785,plain,
% 33.37/22.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2)),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6784, 6783])).
% 33.37/22.01 tff(6786,plain,
% 33.37/22.01 ((~v127(constB19, bitIndex2)) | v130(constB19, bitIndex2)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6785, 689, 3272])).
% 33.37/22.01 tff(6787,plain,
% 33.37/22.01 (v130(constB19, bitIndex2)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6786, 6779])).
% 33.37/22.01 tff(6788,plain,
% 33.37/22.01 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB19)) | (~v130(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB19)) | (~v130(constB19, bitIndex2)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6789,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB19)) | (~v130(constB19, bitIndex2)))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6790,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB19)) | (~v130(constB19, bitIndex2))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6789, 6788])).
% 33.37/22.01 tff(6791,plain,
% 33.37/22.01 (~v120(constB19)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6790, 1025, 6787])).
% 33.37/22.01 tff(6792,plain,
% 33.37/22.01 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB19)) | (~v130(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB19)) | (~v130(constB19, bitIndex2)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6793,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB19)) | (~v130(constB19, bitIndex2)))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6794,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB19)) | (~v130(constB19, bitIndex2))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6793, 6792])).
% 33.37/22.01 tff(6795,plain,
% 33.37/22.01 (~v119(constB19)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6794, 675, 6787])).
% 33.37/22.01 tff(6796,plain,
% 33.37/22.01 (v129(constB20, bitIndex0) | (~v100(constB20))),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[3350, 1215, 6628])).
% 33.37/22.01 tff(6797,plain,
% 33.37/22.01 (v129(constB20, bitIndex0)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6796, 6766])).
% 33.37/22.01 tff(6798,plain,
% 33.37/22.01 (v127(constB19, bitIndex0)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[3343, 6797])).
% 33.37/22.01 tff(6799,plain,
% 33.37/22.01 (v130(constB19, bitIndex0)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[3338, 6798])).
% 33.37/22.01 tff(6800,plain,
% 33.37/22.01 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB19)) | (~v130(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB19)) | (~v130(constB19, bitIndex0)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6801,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB19)) | (~v130(constB19, bitIndex0)))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6802,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB19)) | (~v130(constB19, bitIndex0))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6801, 6800])).
% 33.37/22.01 tff(6803,plain,
% 33.37/22.01 (~v124(constB19)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6802, 2277, 6799])).
% 33.37/22.01 tff(6804,plain,
% 33.37/22.01 (v129(constB20, bitIndex1) | (~v100(constB20))),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[3375, 814, 6654])).
% 33.37/22.01 tff(6805,plain,
% 33.37/22.01 (v129(constB20, bitIndex1)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6804, 6766])).
% 33.37/22.01 tff(6806,plain,
% 33.37/22.01 (v127(constB19, bitIndex1)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[3368, 6805])).
% 33.37/22.01 tff(6807,plain,
% 33.37/22.01 (v130(constB19, bitIndex1)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[3363, 6806])).
% 33.37/22.01 tff(6808,plain,
% 33.37/22.01 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB19)) | (~v130(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB19)) | (~v130(constB19, bitIndex2)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6809,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB19)) | (~v130(constB19, bitIndex2)))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6810,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB19)) | (~v130(constB19, bitIndex2))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6809, 6808])).
% 33.37/22.01 tff(6811,plain,
% 33.37/22.01 (~v121(constB19)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6810, 1342, 6787])).
% 33.37/22.01 tff(6812,plain,
% 33.37/22.01 (~v122(constB19)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[3330, 1721, 6799])).
% 33.37/22.01 tff(6813,plain,
% 33.37/22.01 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB19) | v123(constB19) | v121(constB19) | v119(constB19) | v122(constB19) | v120(constB19) | (~v130(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB19) | v123(constB19) | v121(constB19) | v119(constB19) | v122(constB19) | v120(constB19) | (~v130(constB19, bitIndex1)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6814,plain,
% 33.37/22.01 ((v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, bitIndex1))) <=> (v124(constB19) | v123(constB19) | v121(constB19) | v119(constB19) | v122(constB19) | v120(constB19) | (~v130(constB19, bitIndex1)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6815,plain,
% 33.37/22.01 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB19) | v123(constB19) | v121(constB19) | v119(constB19) | v122(constB19) | v120(constB19) | (~v130(constB19, bitIndex1))))),
% 33.37/22.01 inference(monotonicity,[status(thm)],[6814])).
% 33.37/22.01 tff(6816,plain,
% 33.37/22.01 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB19) | v123(constB19) | v121(constB19) | v119(constB19) | v122(constB19) | v120(constB19) | (~v130(constB19, bitIndex1)))),
% 33.37/22.01 inference(transitivity,[status(thm)],[6815, 6813])).
% 33.37/22.01 tff(6817,plain,
% 33.37/22.01 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, bitIndex1)))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6818,plain,
% 33.37/22.01 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB19) | v123(constB19) | v121(constB19) | v119(constB19) | v122(constB19) | v120(constB19) | (~v130(constB19, bitIndex1))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6817, 6816])).
% 33.37/22.01 tff(6819,plain,
% 33.37/22.01 (v123(constB19)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6818, 2448, 6812, 6811, 6807, 6803, 6795, 6791])).
% 33.37/22.01 tff(6820,plain,
% 33.37/22.01 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB19)) | (~v130(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB19)) | (~v130(constB19, bitIndex1)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6821,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB19)) | (~v130(constB19, bitIndex1)))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6822,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB19)) | (~v130(constB19, bitIndex1))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6821, 6820])).
% 33.37/22.01 tff(6823,plain,
% 33.37/22.01 ($false),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6822, 1909, 6807, 6819])).
% 33.37/22.01 tff(6824,plain,(v100(constB30) | (~v90(constB28, bitIndex2)) | v120(constB27) | (~v90(constB30, bitIndex1)) | (~v90(constB30, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 33.37/22.01 tff(6825,plain,
% 33.37/22.01 (v100(constB30)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6824, 5836, 5770, 5649, 5626])).
% 33.37/22.01 tff(6826,plain,
% 33.37/22.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | v129(constB30, bitIndex1) | (~v100(constB30)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | v129(constB30, bitIndex1) | (~v100(constB30)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6827,plain,
% 33.37/22.01 (((~v90(constB30, bitIndex1)) | (~v100(constB30)) | v129(constB30, bitIndex1)) <=> ((~v90(constB30, bitIndex1)) | v129(constB30, bitIndex1) | (~v100(constB30)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6828,plain,
% 33.37/22.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~v100(constB30)) | v129(constB30, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | v129(constB30, bitIndex1) | (~v100(constB30))))),
% 33.37/22.01 inference(monotonicity,[status(thm)],[6827])).
% 33.37/22.01 tff(6829,plain,
% 33.37/22.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~v100(constB30)) | v129(constB30, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | v129(constB30, bitIndex1) | (~v100(constB30)))),
% 33.37/22.01 inference(transitivity,[status(thm)],[6828, 6826])).
% 33.37/22.01 tff(6830,plain,
% 33.37/22.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~v100(constB30)) | v129(constB30, bitIndex1))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6831,plain,
% 33.37/22.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | v129(constB30, bitIndex1) | (~v100(constB30))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6830, 6829])).
% 33.37/22.01 tff(6832,plain,
% 33.37/22.01 (v129(constB30, bitIndex1) | (~v100(constB30))),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6831, 814, 5649])).
% 33.37/22.01 tff(6833,plain,
% 33.37/22.01 (v129(constB30, bitIndex1)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6832, 6825])).
% 33.37/22.01 tff(6834,plain,
% 33.37/22.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex1) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex1) | (~v129(constB30, bitIndex1)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6835,plain,
% 33.37/22.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex1) | (~v129(constB30, bitIndex1)))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6836,plain,
% 33.37/22.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex1) | (~v129(constB30, bitIndex1))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6835, 6834])).
% 33.37/22.01 tff(6837,plain,
% 33.37/22.01 (v127(constB29, bitIndex1) | (~v129(constB30, bitIndex1))),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6836, 799, 4891])).
% 33.37/22.01 tff(6838,plain,
% 33.37/22.01 (v127(constB29, bitIndex1)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6837, 6833])).
% 33.37/22.01 tff(6839,plain,
% 33.37/22.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB29, bitIndex1)) | v26(constB29) | v130(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB29, bitIndex1)) | v26(constB29) | v130(constB29, bitIndex1))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6840,plain,
% 33.37/22.01 ((v26(constB29) | v130(constB29, bitIndex1) | (~v127(constB29, bitIndex1))) <=> ((~v127(constB29, bitIndex1)) | v26(constB29) | v130(constB29, bitIndex1))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6841,plain,
% 33.37/22.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB29) | v130(constB29, bitIndex1) | (~v127(constB29, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB29, bitIndex1)) | v26(constB29) | v130(constB29, bitIndex1)))),
% 33.37/22.01 inference(monotonicity,[status(thm)],[6840])).
% 33.37/22.01 tff(6842,plain,
% 33.37/22.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB29) | v130(constB29, bitIndex1) | (~v127(constB29, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB29, bitIndex1)) | v26(constB29) | v130(constB29, bitIndex1))),
% 33.37/22.01 inference(transitivity,[status(thm)],[6841, 6839])).
% 33.37/22.01 tff(6843,plain,
% 33.37/22.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB29) | v130(constB29, bitIndex1) | (~v127(constB29, bitIndex1)))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6844,plain,
% 33.37/22.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB29, bitIndex1)) | v26(constB29) | v130(constB29, bitIndex1)),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6843, 6842])).
% 33.37/22.01 tff(6845,plain,
% 33.37/22.01 ((~v127(constB29, bitIndex1)) | v130(constB29, bitIndex1)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6844, 781, 4876])).
% 33.37/22.01 tff(6846,plain,
% 33.37/22.01 (v130(constB29, bitIndex1)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6845, 6838])).
% 33.37/22.01 tff(6847,plain,
% 33.37/22.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex2))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6848,plain,
% 33.37/22.01 (((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex2)) | v100(constB29) | v90(constB29, bitIndex2)) <=> ((~v90(constB28, bitIndex2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex2))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6849,plain,
% 33.37/22.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex2)) | v100(constB29) | v90(constB29, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex2)))),
% 33.37/22.01 inference(monotonicity,[status(thm)],[6848])).
% 33.37/22.01 tff(6850,plain,
% 33.37/22.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex2)) | v100(constB29) | v90(constB29, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex2))),
% 33.37/22.01 inference(transitivity,[status(thm)],[6849, 6847])).
% 33.37/22.01 tff(6851,plain,
% 33.37/22.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex2)) | v100(constB29) | v90(constB29, bitIndex2))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6852,plain,
% 33.37/22.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex2)),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6851, 6850])).
% 33.37/22.01 tff(6853,plain,
% 33.37/22.01 ((~v90(constB28, bitIndex2)) | v100(constB29) | v90(constB29, bitIndex2)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6852, 1658, 4805])).
% 33.37/22.01 tff(6854,plain,
% 33.37/22.01 ((~v90(constB28, bitIndex2)) | v90(constB29, bitIndex2)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6853, 4817])).
% 33.37/22.01 tff(6855,plain,
% 33.37/22.01 (v90(constB29, bitIndex2)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6854, 5836])).
% 33.37/22.01 tff(6856,plain,
% 33.37/22.01 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 33.37/22.01 inference(bind,[status(th)],[])).
% 33.37/22.01 tff(6857,plain,
% 33.37/22.01 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 33.37/22.01 inference(quant_intro,[status(thm)],[6856])).
% 33.37/22.01 tff(6858,plain,
% 33.37/22.01 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6859,plain,
% 33.37/22.01 (^[VarCurr: $i] : rewrite(((~v90(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 33.37/22.01 inference(bind,[status(th)],[])).
% 33.37/22.01 tff(6860,plain,
% 33.37/22.01 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 33.37/22.01 inference(quant_intro,[status(thm)],[6859])).
% 33.37/22.01 tff(6861,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_2')).
% 33.37/22.01 tff(6862,plain,
% 33.37/22.01 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6861, 6860])).
% 33.37/22.01 tff(6863,plain,
% 33.37/22.01 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6862, 6858])).
% 33.37/22.01 tff(6864,plain,(
% 33.37/22.01 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 33.37/22.01 inference(skolemize,[status(sab)],[6863])).
% 33.37/22.01 tff(6865,plain,
% 33.37/22.01 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6864, 6857])).
% 33.37/22.01 tff(6866,plain,
% 33.37/22.01 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB29)) | (~v90(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB29)) | (~v90(constB29, bitIndex2)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6867,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB29)) | (~v90(constB29, bitIndex2)))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6868,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB29)) | (~v90(constB29, bitIndex2))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6867, 6866])).
% 33.37/22.01 tff(6869,plain,
% 33.37/22.01 (~v119(constB29)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6868, 6865, 6855])).
% 33.37/22.01 tff(6870,assumption,(v124(constB29)), introduced(assumption)).
% 33.37/22.01 tff(6871,plain,
% 33.37/22.01 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB29) | (~v124(constB29)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB29) | (~v124(constB29)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6872,plain,
% 33.37/22.01 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB29) | (~v124(constB29)))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6873,plain,
% 33.37/22.01 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB29) | (~v124(constB29))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6872, 6871])).
% 33.37/22.01 tff(6874,plain,
% 33.37/22.01 (v114(constB29)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6873, 2005, 6870])).
% 33.37/22.01 tff(6875,plain,
% 33.37/22.01 (v113(constB29)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[4871, 542, 6874])).
% 33.37/22.01 tff(6876,plain,
% 33.37/22.01 (v112(constB29)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[4883, 6875])).
% 33.37/22.01 tff(6877,plain,
% 33.37/22.01 (v108(constB29)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[4887, 568, 6876])).
% 33.37/22.01 tff(6878,plain,
% 33.37/22.01 (v110(constB30)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[4898, 6877])).
% 33.37/22.01 tff(6879,plain,
% 33.37/22.01 (v100(constB30)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[4930, 6878])).
% 33.37/22.01 tff(6880,plain,
% 33.37/22.01 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB29)) | v130(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB29)) | v130(constB29, bitIndex1))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6881,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB29)) | v130(constB29, bitIndex1))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6882,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB29)) | v130(constB29, bitIndex1)),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6881, 6880])).
% 33.37/22.01 tff(6883,plain,
% 33.37/22.01 (v130(constB29, bitIndex1)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6882, 2145, 6870])).
% 33.37/22.01 tff(6884,plain,
% 33.37/22.01 (v127(constB29, bitIndex1)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[4991, 6883])).
% 33.37/22.01 tff(6885,plain,
% 33.37/22.01 (v129(constB30, bitIndex1)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[4996, 6884])).
% 33.37/22.01 tff(6886,plain,
% 33.37/22.01 (v90(constB30, bitIndex1) | (~v100(constB30))),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[5003, 1131, 6885])).
% 33.37/22.01 tff(6887,plain,
% 33.37/22.01 (v90(constB30, bitIndex1)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6886, 6879])).
% 33.37/22.01 tff(6888,plain,
% 33.37/22.01 (v90(constB31, bitIndex1)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[5013, 6887])).
% 33.37/22.01 tff(6889,plain,
% 33.37/22.01 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB31)) | (~v90(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB31)) | (~v90(constB31, bitIndex1)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6890,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB31)) | (~v90(constB31, bitIndex1)))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6891,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB31)) | (~v90(constB31, bitIndex1))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6890, 6889])).
% 33.37/22.01 tff(6892,plain,
% 33.37/22.01 (~v119(constB31)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6891, 2230, 6888])).
% 33.37/22.01 tff(6893,plain,
% 33.37/22.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB31, bitIndex1)) | (~v123(constB31)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB31, bitIndex1)) | (~v123(constB31)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6894,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB31, bitIndex1)) | (~v123(constB31)))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6895,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB31, bitIndex1)) | (~v123(constB31))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6894, 6893])).
% 33.37/22.01 tff(6896,plain,
% 33.37/22.01 (~v123(constB31)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6895, 2194, 6888])).
% 33.37/22.01 tff(6897,plain,
% 33.37/22.01 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB29)) | (~v130(constB29, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB29)) | (~v130(constB29, bitIndex0)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6898,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB29)) | (~v130(constB29, bitIndex0)))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6899,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB29)) | (~v130(constB29, bitIndex0))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6898, 6897])).
% 33.37/22.01 tff(6900,plain,
% 33.37/22.01 (~v130(constB29, bitIndex0)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6899, 2277, 6870])).
% 33.37/22.01 tff(6901,plain,
% 33.37/22.01 (~v127(constB29, bitIndex0)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[5802, 6900])).
% 33.37/22.01 tff(6902,plain,
% 33.37/22.01 (~v129(constB30, bitIndex0)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[5756, 6901])).
% 33.37/22.01 tff(6903,plain,
% 33.37/22.01 ((~v90(constB30, bitIndex0)) | (~v100(constB30))),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[5751, 1215, 6902])).
% 33.37/22.01 tff(6904,plain,
% 33.37/22.01 (~v90(constB30, bitIndex0)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6903, 6879])).
% 33.37/22.01 tff(6905,plain,
% 33.37/22.01 (~v90(constB31, bitIndex0)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[5625, 6904])).
% 33.37/22.01 tff(6906,plain,
% 33.37/22.01 (v100(constB32)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[5616, 6905, 5398])).
% 33.37/22.01 tff(6907,plain,
% 33.37/22.01 (v129(constB32, bitIndex2)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[5553, 6906])).
% 33.37/22.01 tff(6908,plain,
% 33.37/22.01 (v127(constB31, bitIndex2)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[5558, 6907])).
% 33.37/22.01 tff(6909,plain,
% 33.37/22.01 (v130(constB31, bitIndex2)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[5566, 6908])).
% 33.37/22.01 tff(6910,plain,
% 33.37/22.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB31, bitIndex1)) | (~v120(constB31)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB31, bitIndex1)) | (~v120(constB31)))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6911,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB31, bitIndex1)) | (~v120(constB31)))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6912,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB31, bitIndex1)) | (~v120(constB31))),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6911, 6910])).
% 33.37/22.01 tff(6913,plain,
% 33.37/22.01 (~v120(constB31)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6912, 2183, 6888])).
% 33.37/22.01 tff(6914,plain,
% 33.37/22.01 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB29)) | v130(constB29, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB29)) | v130(constB29, bitIndex2))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6915,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB29)) | v130(constB29, bitIndex2))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6916,plain,
% 33.37/22.01 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB29)) | v130(constB29, bitIndex2)),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6915, 6914])).
% 33.37/22.01 tff(6917,plain,
% 33.37/22.01 (v130(constB29, bitIndex2)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6916, 2075, 6870])).
% 33.37/22.01 tff(6918,plain,
% 33.37/22.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB29) | (~v130(constB29, bitIndex2)) | v127(constB29, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB29) | (~v130(constB29, bitIndex2)) | v127(constB29, bitIndex2))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6919,plain,
% 33.37/22.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB29) | (~v130(constB29, bitIndex2)) | v127(constB29, bitIndex2))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6920,plain,
% 33.37/22.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB29) | (~v130(constB29, bitIndex2)) | v127(constB29, bitIndex2)),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6919, 6918])).
% 33.37/22.01 tff(6921,plain,
% 33.37/22.01 ((~v130(constB29, bitIndex2)) | v127(constB29, bitIndex2)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6920, 1592, 4876])).
% 33.37/22.01 tff(6922,plain,
% 33.37/22.01 (v127(constB29, bitIndex2)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6921, 6917])).
% 33.37/22.01 tff(6923,plain,
% 33.37/22.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex2)) | v129(constB30, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex2)) | v129(constB30, bitIndex2))),
% 33.37/22.01 inference(rewrite,[status(thm)],[])).
% 33.37/22.01 tff(6924,plain,
% 33.37/22.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex2)) | v129(constB30, bitIndex2))),
% 33.37/22.01 inference(quant_inst,[status(thm)],[])).
% 33.37/22.01 tff(6925,plain,
% 33.37/22.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex2)) | v129(constB30, bitIndex2)),
% 33.37/22.01 inference(modus_ponens,[status(thm)],[6924, 6923])).
% 33.37/22.01 tff(6926,plain,
% 33.37/22.01 ((~v127(constB29, bitIndex2)) | v129(constB30, bitIndex2)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6925, 1607, 4891])).
% 33.37/22.01 tff(6927,plain,
% 33.37/22.01 (v129(constB30, bitIndex2)),
% 33.37/22.01 inference(unit_resolution,[status(thm)],[6926, 6922])).
% 33.37/22.01 tff(6928,plain,
% 33.37/22.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~v129(constB30, bitIndex2)) | (~v100(constB30)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~v129(constB30, bitIndex2)) | (~v100(constB30)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6929,plain,
% 33.37/22.02 ((v90(constB30, bitIndex2) | (~v100(constB30)) | (~v129(constB30, bitIndex2))) <=> (v90(constB30, bitIndex2) | (~v129(constB30, bitIndex2)) | (~v100(constB30)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6930,plain,
% 33.37/22.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~v100(constB30)) | (~v129(constB30, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~v129(constB30, bitIndex2)) | (~v100(constB30))))),
% 33.37/22.02 inference(monotonicity,[status(thm)],[6929])).
% 33.37/22.02 tff(6931,plain,
% 33.37/22.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~v100(constB30)) | (~v129(constB30, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~v129(constB30, bitIndex2)) | (~v100(constB30)))),
% 33.37/22.02 inference(transitivity,[status(thm)],[6930, 6928])).
% 33.37/22.02 tff(6932,plain,
% 33.37/22.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~v100(constB30)) | (~v129(constB30, bitIndex2)))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(6933,plain,
% 33.37/22.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~v129(constB30, bitIndex2)) | (~v100(constB30))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[6932, 6931])).
% 33.37/22.02 tff(6934,plain,
% 33.37/22.02 (v90(constB30, bitIndex2) | (~v100(constB30))),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6933, 1622, 6927])).
% 33.37/22.02 tff(6935,plain,
% 33.37/22.02 (v90(constB30, bitIndex2)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6934, 6879])).
% 33.37/22.02 tff(6936,plain,
% 33.37/22.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex2))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6937,plain,
% 33.37/22.02 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex2)) | v100(constB31) | v90(constB31, bitIndex2)) <=> ((~v90(constB30, bitIndex2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex2))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6938,plain,
% 33.37/22.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex2)) | v100(constB31) | v90(constB31, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex2)))),
% 33.37/22.02 inference(monotonicity,[status(thm)],[6937])).
% 33.37/22.02 tff(6939,plain,
% 33.37/22.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex2)) | v100(constB31) | v90(constB31, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex2))),
% 33.37/22.02 inference(transitivity,[status(thm)],[6938, 6936])).
% 33.37/22.02 tff(6940,plain,
% 33.37/22.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex2)) | v100(constB31) | v90(constB31, bitIndex2))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(6941,plain,
% 33.37/22.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex2)),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[6940, 6939])).
% 33.37/22.02 tff(6942,plain,
% 33.37/22.02 ((~v90(constB30, bitIndex2)) | v100(constB31) | v90(constB31, bitIndex2)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6941, 1658, 4962])).
% 33.37/22.02 tff(6943,plain,
% 33.37/22.02 ((~v90(constB30, bitIndex2)) | v90(constB31, bitIndex2)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6942, 4974])).
% 33.37/22.02 tff(6944,plain,
% 33.37/22.02 (v90(constB31, bitIndex2)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6943, 6935])).
% 33.37/22.02 tff(6945,plain,
% 33.37/22.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB31, bitIndex2)) | (~v121(constB31)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB31, bitIndex2)) | (~v121(constB31)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6946,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB31, bitIndex2)) | (~v121(constB31)))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(6947,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB31, bitIndex2)) | (~v121(constB31))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[6946, 6945])).
% 33.37/22.02 tff(6948,plain,
% 33.37/22.02 (~v121(constB31)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6947, 2216, 6944])).
% 33.37/22.02 tff(6949,plain,
% 33.37/22.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB31, bitIndex1)) | (~v124(constB31)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB31, bitIndex1)) | (~v124(constB31)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6950,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB31, bitIndex1)) | (~v124(constB31)))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(6951,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB31, bitIndex1)) | (~v124(constB31))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[6950, 6949])).
% 33.37/22.02 tff(6952,plain,
% 33.37/22.02 (~v124(constB31)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6951, 2205, 6888])).
% 33.37/22.02 tff(6953,plain,
% 33.37/22.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB31, bitIndex2)) | (~v122(constB31)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB31, bitIndex2)) | (~v122(constB31)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6954,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB31, bitIndex2)) | (~v122(constB31)))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(6955,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB31, bitIndex2)) | (~v122(constB31))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[6954, 6953])).
% 33.37/22.02 tff(6956,plain,
% 33.37/22.02 (~v122(constB31)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6955, 2131, 6944])).
% 33.37/22.02 tff(6957,plain,
% 33.37/22.02 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB31) | v121(constB31) | v119(constB31) | v124(constB31) | v120(constB31) | v122(constB31) | (~v130(constB31, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB31) | v121(constB31) | v119(constB31) | v124(constB31) | v120(constB31) | v122(constB31) | (~v130(constB31, bitIndex2)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6958,plain,
% 33.37/22.02 ((v120(constB31) | v119(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, bitIndex2))) <=> (v123(constB31) | v121(constB31) | v119(constB31) | v124(constB31) | v120(constB31) | v122(constB31) | (~v130(constB31, bitIndex2)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6959,plain,
% 33.37/22.02 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB31) | v119(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB31) | v121(constB31) | v119(constB31) | v124(constB31) | v120(constB31) | v122(constB31) | (~v130(constB31, bitIndex2))))),
% 33.37/22.02 inference(monotonicity,[status(thm)],[6958])).
% 33.37/22.02 tff(6960,plain,
% 33.37/22.02 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB31) | v119(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB31) | v121(constB31) | v119(constB31) | v124(constB31) | v120(constB31) | v122(constB31) | (~v130(constB31, bitIndex2)))),
% 33.37/22.02 inference(transitivity,[status(thm)],[6959, 6957])).
% 33.37/22.02 tff(6961,plain,
% 33.37/22.02 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB31) | v119(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, bitIndex2)))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(6962,plain,
% 33.37/22.02 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB31) | v121(constB31) | v119(constB31) | v124(constB31) | v120(constB31) | v122(constB31) | (~v130(constB31, bitIndex2))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[6961, 6960])).
% 33.37/22.02 tff(6963,plain,
% 33.37/22.02 ($false),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6962, 2244, 6956, 6952, 6948, 6913, 6909, 6896, 6892])).
% 33.37/22.02 tff(6964,plain,((~v124(constB29)) | (~v90(constB32, bitIndex2)) | (~v90(constB32, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 33.37/22.02 tff(6965,plain,
% 33.37/22.02 (~v124(constB29)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6964, 5771, 5397])).
% 33.37/22.02 tff(6966,plain,
% 33.37/22.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB29, bitIndex2)) | (~v122(constB29)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB29, bitIndex2)) | (~v122(constB29)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6967,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB29, bitIndex2)) | (~v122(constB29)))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(6968,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB29, bitIndex2)) | (~v122(constB29))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[6967, 6966])).
% 33.37/22.02 tff(6969,plain,
% 33.37/22.02 (~v122(constB29)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6968, 2131, 6855])).
% 33.37/22.02 tff(6970,plain,
% 33.37/22.02 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))))),
% 33.37/22.02 inference(bind,[status(th)],[])).
% 33.37/22.02 tff(6971,plain,
% 33.37/22.02 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 33.37/22.02 inference(quant_intro,[status(thm)],[6970])).
% 33.37/22.02 tff(6972,plain,
% 33.37/22.02 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6973,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_3')).
% 33.37/22.02 tff(6974,plain,
% 33.37/22.02 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[6973, 6972])).
% 33.37/22.02 tff(6975,plain,(
% 33.37/22.02 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 33.37/22.02 inference(skolemize,[status(sab)],[6974])).
% 33.37/22.02 tff(6976,plain,
% 33.37/22.02 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[6975, 6971])).
% 33.37/22.02 tff(6977,plain,
% 33.37/22.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB29, bitIndex2)) | (~v120(constB29)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB29, bitIndex2)) | (~v120(constB29)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6978,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB29, bitIndex2)) | (~v120(constB29)))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(6979,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB29, bitIndex2)) | (~v120(constB29))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[6978, 6977])).
% 33.37/22.02 tff(6980,plain,
% 33.37/22.02 (~v120(constB29)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6979, 6976, 6855])).
% 33.37/22.02 tff(6981,plain,
% 33.37/22.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB29, bitIndex2)) | (~v121(constB29)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB29, bitIndex2)) | (~v121(constB29)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6982,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB29, bitIndex2)) | (~v121(constB29)))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(6983,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB29, bitIndex2)) | (~v121(constB29))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[6982, 6981])).
% 33.37/22.02 tff(6984,plain,
% 33.37/22.02 (~v121(constB29)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6983, 2216, 6855])).
% 33.37/22.02 tff(6985,plain,
% 33.37/22.02 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB29, bitIndex1)) | v124(constB29) | v121(constB29) | v120(constB29) | v119(constB29) | v122(constB29) | v123(constB29))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB29, bitIndex1)) | v124(constB29) | v121(constB29) | v120(constB29) | v119(constB29) | v122(constB29) | v123(constB29))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6986,plain,
% 33.37/22.02 ((v120(constB29) | v119(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, bitIndex1))) <=> ((~v130(constB29, bitIndex1)) | v124(constB29) | v121(constB29) | v120(constB29) | v119(constB29) | v122(constB29) | v123(constB29))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6987,plain,
% 33.37/22.02 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB29) | v119(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB29, bitIndex1)) | v124(constB29) | v121(constB29) | v120(constB29) | v119(constB29) | v122(constB29) | v123(constB29)))),
% 33.37/22.02 inference(monotonicity,[status(thm)],[6986])).
% 33.37/22.02 tff(6988,plain,
% 33.37/22.02 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB29) | v119(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB29, bitIndex1)) | v124(constB29) | v121(constB29) | v120(constB29) | v119(constB29) | v122(constB29) | v123(constB29))),
% 33.37/22.02 inference(transitivity,[status(thm)],[6987, 6985])).
% 33.37/22.02 tff(6989,plain,
% 33.37/22.02 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB29) | v119(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, bitIndex1)))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(6990,plain,
% 33.37/22.02 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB29, bitIndex1)) | v124(constB29) | v121(constB29) | v120(constB29) | v119(constB29) | v122(constB29) | v123(constB29)),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[6989, 6988])).
% 33.37/22.02 tff(6991,plain,
% 33.37/22.02 ((~v130(constB29, bitIndex1)) | v123(constB29)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6990, 2448, 6984, 6980, 6969, 6965, 6869])).
% 33.37/22.02 tff(6992,plain,
% 33.37/22.02 (v123(constB29)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6991, 6846])).
% 33.37/22.02 tff(6993,plain,
% 33.37/22.02 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB29)) | (~v130(constB29, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB29)) | (~v130(constB29, bitIndex1)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6994,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB29)) | (~v130(constB29, bitIndex1)))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(6995,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB29)) | (~v130(constB29, bitIndex1))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[6994, 6993])).
% 33.37/22.02 tff(6996,plain,
% 33.37/22.02 ($false),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[6995, 1909, 6846, 6992])).
% 33.37/22.02 tff(6997,plain,(v100(constB34)), inference(lemma,lemma(discharge,[]))).
% 33.37/22.02 tff(6998,plain,
% 33.37/22.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(6999,plain,
% 33.37/22.02 ((v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0))) <=> (v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(7000,plain,
% 33.37/22.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34))))),
% 33.37/22.02 inference(monotonicity,[status(thm)],[6999])).
% 33.37/22.02 tff(7001,plain,
% 33.37/22.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))),
% 33.37/22.02 inference(transitivity,[status(thm)],[7000, 6998])).
% 33.37/22.02 tff(7002,plain,
% 33.37/22.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0)))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(7003,plain,
% 33.37/22.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[7002, 7001])).
% 33.37/22.02 tff(7004,plain,
% 33.37/22.02 (v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0))),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[7003, 885, 6997])).
% 33.37/22.02 tff(7005,plain,
% 33.37/22.02 (v90(constB34, bitIndex0)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[7004, 5274])).
% 33.37/22.02 tff(7006,plain,
% 33.37/22.02 ((~v1(constB35)) <=> (~v1(constB35))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(7007,axiom,(~v1(constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 33.37/22.02 tff(7008,plain,
% 33.37/22.02 (~v1(constB35)),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[7007, 7006])).
% 33.37/22.02 tff(7009,plain,
% 33.37/22.02 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(7010,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 33.37/22.02 tff(7011,plain,
% 33.37/22.02 (nextState(constB34, constB35)),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[7010, 7009])).
% 33.37/22.02 tff(7012,plain,
% 33.37/22.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(7013,plain,
% 33.37/22.02 (((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(7014,plain,
% 33.37/22.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))))),
% 33.37/22.02 inference(monotonicity,[status(thm)],[7013])).
% 33.37/22.02 tff(7015,plain,
% 33.37/22.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 33.37/22.02 inference(transitivity,[status(thm)],[7014, 7012])).
% 33.37/22.02 tff(7016,plain,
% 33.37/22.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(7017,plain,
% 33.37/22.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[7016, 7015])).
% 33.37/22.02 tff(7018,plain,
% 33.37/22.02 (~v101(constB35)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[7017, 381, 7011, 7008])).
% 33.37/22.02 tff(7019,plain,
% 33.37/22.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(7020,plain,
% 33.37/22.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(7021,plain,
% 33.37/22.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[7020, 7019])).
% 33.37/22.02 tff(7022,plain,
% 33.37/22.02 (v101(constB35) | (~v100(constB35))),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[7021, 398, 7011])).
% 33.37/22.02 tff(7023,plain,
% 33.37/22.02 (~v100(constB35)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[7022, 7018])).
% 33.37/22.02 tff(7024,plain,
% 33.37/22.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(7025,plain,
% 33.37/22.02 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0)) <=> ((~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(7026,plain,
% 33.37/22.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0)))),
% 33.37/22.02 inference(monotonicity,[status(thm)],[7025])).
% 33.37/22.02 tff(7027,plain,
% 33.37/22.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))),
% 33.37/22.02 inference(transitivity,[status(thm)],[7026, 7024])).
% 33.37/22.02 tff(7028,plain,
% 33.37/22.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(7029,plain,
% 33.37/22.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0)),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[7028, 7027])).
% 33.37/22.02 tff(7030,plain,
% 33.37/22.02 ((~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[7029, 903, 7011])).
% 33.37/22.02 tff(7031,plain,
% 33.37/22.02 ((~v90(constB34, bitIndex0)) | v90(constB35, bitIndex0)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[7030, 7023])).
% 33.37/22.02 tff(7032,plain,
% 33.37/22.02 (v90(constB35, bitIndex0)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[7031, 7005])).
% 33.37/22.02 tff(7033,plain,
% 33.37/22.02 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB33)) | (~v130(constB33, bitIndex1)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(7034,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex1)))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(7035,plain,
% 33.37/22.02 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB33)) | (~v130(constB33, bitIndex1))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[7034, 7033])).
% 33.37/22.02 tff(7036,plain,
% 33.37/22.02 (~v130(constB33, bitIndex1)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[7035, 1909, 5253])).
% 33.37/22.02 tff(7037,plain,
% 33.37/22.02 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(7038,plain,
% 33.37/22.02 ((v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1))) <=> ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(7039,plain,
% 33.37/22.02 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1)))),
% 33.37/22.02 inference(monotonicity,[status(thm)],[7038])).
% 33.37/22.02 tff(7040,plain,
% 33.37/22.02 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 33.37/22.02 inference(transitivity,[status(thm)],[7039, 7037])).
% 33.37/22.02 tff(7041,plain,
% 33.37/22.02 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(7042,plain,
% 33.37/22.02 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1)),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[7041, 7040])).
% 33.37/22.02 tff(7043,plain,
% 33.37/22.02 ((~v127(constB33, bitIndex1)) | v130(constB33, bitIndex1)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[7042, 781, 5261])).
% 33.37/22.02 tff(7044,plain,
% 33.37/22.02 (~v127(constB33, bitIndex1)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[7043, 7036])).
% 33.37/22.02 tff(7045,plain,
% 33.37/22.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(7046,plain,
% 33.37/22.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))),
% 33.37/22.02 inference(quant_inst,[status(thm)],[])).
% 33.37/22.02 tff(7047,plain,
% 33.37/22.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1))),
% 33.37/22.02 inference(modus_ponens,[status(thm)],[7046, 7045])).
% 33.37/22.02 tff(7048,plain,
% 33.37/22.02 (v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1))),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[7047, 799, 5269])).
% 33.37/22.02 tff(7049,plain,
% 33.37/22.02 (~v129(constB34, bitIndex1)),
% 33.37/22.02 inference(unit_resolution,[status(thm)],[7048, 7044])).
% 33.37/22.02 tff(7050,plain,
% 33.37/22.02 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.02 tff(7051,plain,
% 33.37/22.02 (((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1)) <=> ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 33.37/22.02 inference(rewrite,[status(thm)],[])).
% 33.37/22.03 tff(7052,plain,
% 33.37/22.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34))))),
% 33.37/22.03 inference(monotonicity,[status(thm)],[7051])).
% 33.37/22.03 tff(7053,plain,
% 33.37/22.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 33.37/22.03 inference(transitivity,[status(thm)],[7052, 7050])).
% 33.37/22.03 tff(7054,plain,
% 33.37/22.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))),
% 33.37/22.03 inference(quant_inst,[status(thm)],[])).
% 33.37/22.03 tff(7055,plain,
% 33.37/22.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34))),
% 33.37/22.03 inference(modus_ponens,[status(thm)],[7054, 7053])).
% 33.37/22.03 tff(7056,plain,
% 33.37/22.03 ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[7055, 814, 6997])).
% 33.37/22.03 tff(7057,plain,
% 33.37/22.03 (~v90(constB34, bitIndex1)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[7056, 7049])).
% 33.37/22.03 tff(7058,plain,
% 33.37/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 33.37/22.03 inference(rewrite,[status(thm)],[])).
% 33.37/22.03 tff(7059,plain,
% 33.37/22.03 (((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1))) <=> (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 33.37/22.03 inference(rewrite,[status(thm)],[])).
% 33.37/22.03 tff(7060,plain,
% 33.37/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1))))),
% 33.37/22.03 inference(monotonicity,[status(thm)],[7059])).
% 33.37/22.03 tff(7061,plain,
% 33.37/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 33.37/22.03 inference(transitivity,[status(thm)],[7060, 7058])).
% 33.37/22.03 tff(7062,plain,
% 33.37/22.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 33.37/22.03 inference(quant_inst,[status(thm)],[])).
% 33.37/22.03 tff(7063,plain,
% 33.37/22.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1))),
% 33.37/22.03 inference(modus_ponens,[status(thm)],[7062, 7061])).
% 33.37/22.03 tff(7064,plain,
% 33.37/22.03 (v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1))),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[7063, 434, 7011])).
% 33.37/22.03 tff(7065,plain,
% 33.37/22.03 (v90(constB34, bitIndex1) | (~v90(constB35, bitIndex1))),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[7064, 7023])).
% 33.37/22.03 tff(7066,plain,
% 33.37/22.03 (~v90(constB35, bitIndex1)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[7065, 7057])).
% 33.37/22.03 tff(7067,plain,
% 33.37/22.03 (v122(constB31)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[5048, 1486, 5692, 5698, 5686])).
% 33.37/22.03 tff(7068,plain,
% 33.37/22.03 (~v130(constB31, bitIndex1)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[5052, 1677, 7067])).
% 33.37/22.03 tff(7069,plain,
% 33.37/22.03 (~v127(constB31, bitIndex1)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[5064, 7068])).
% 33.37/22.03 tff(7070,plain,
% 33.37/22.03 (~v129(constB32, bitIndex1)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[5072, 7069])).
% 33.37/22.03 tff(7071,plain,
% 33.37/22.03 (v113(constB33)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[5762, 7070, 5699, 5681])).
% 33.37/22.03 tff(7072,plain,
% 33.37/22.03 (v108(constB33)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[5334, 7071])).
% 33.37/22.03 tff(7073,plain,
% 33.37/22.03 (v110(constB34)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[5314, 7072])).
% 33.37/22.03 tff(7074,plain,
% 33.37/22.03 (v100(constB34)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[5306, 7073])).
% 33.37/22.03 tff(7075,plain,
% 33.37/22.03 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 33.37/22.03 inference(rewrite,[status(thm)],[])).
% 33.37/22.03 tff(7076,plain,
% 33.37/22.03 ((v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2))) <=> (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 33.37/22.03 inference(rewrite,[status(thm)],[])).
% 33.37/22.03 tff(7077,plain,
% 33.37/22.03 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))))),
% 33.37/22.03 inference(monotonicity,[status(thm)],[7076])).
% 33.37/22.03 tff(7078,plain,
% 33.37/22.03 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 33.37/22.03 inference(transitivity,[status(thm)],[7077, 7075])).
% 33.37/22.03 tff(7079,plain,
% 33.37/22.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))),
% 33.37/22.03 inference(quant_inst,[status(thm)],[])).
% 33.37/22.03 tff(7080,plain,
% 33.37/22.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))),
% 33.37/22.03 inference(modus_ponens,[status(thm)],[7079, 7078])).
% 33.37/22.03 tff(7081,plain,
% 33.37/22.03 ((~v129(constB34, bitIndex2)) | (~v100(constB34))),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[7080, 1622, 5422])).
% 33.37/22.03 tff(7082,plain,
% 33.37/22.03 (~v129(constB34, bitIndex2)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[7081, 7074])).
% 33.37/22.03 tff(7083,plain,
% 33.37/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 33.37/22.03 inference(rewrite,[status(thm)],[])).
% 33.37/22.03 tff(7084,plain,
% 33.37/22.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 33.37/22.03 inference(quant_inst,[status(thm)],[])).
% 33.37/22.03 tff(7085,plain,
% 33.37/22.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 33.37/22.03 inference(modus_ponens,[status(thm)],[7084, 7083])).
% 33.37/22.03 tff(7086,plain,
% 33.37/22.03 ((~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[7085, 1607, 5269])).
% 33.37/22.03 tff(7087,plain,
% 33.37/22.03 (~v127(constB33, bitIndex2)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[7086, 7082])).
% 33.37/22.03 tff(7088,plain,
% 33.37/22.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 33.37/22.03 inference(rewrite,[status(thm)],[])).
% 33.37/22.03 tff(7089,plain,
% 33.37/22.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 33.37/22.03 inference(quant_inst,[status(thm)],[])).
% 33.37/22.03 tff(7090,plain,
% 33.37/22.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 33.37/22.03 inference(modus_ponens,[status(thm)],[7089, 7088])).
% 33.37/22.03 tff(7091,plain,
% 33.37/22.03 ((~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[7090, 1592, 5261])).
% 33.37/22.03 tff(7092,plain,
% 33.37/22.03 (~v130(constB33, bitIndex2)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[7091, 7087])).
% 33.37/22.03 tff(7093,plain,
% 33.37/22.03 (v123(constB33)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[5252, 7070, 7067])).
% 33.37/22.03 tff(7094,plain,
% 33.37/22.03 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2))),
% 33.37/22.03 inference(rewrite,[status(thm)],[])).
% 33.37/22.03 tff(7095,plain,
% 33.37/22.03 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))),
% 33.37/22.03 inference(quant_inst,[status(thm)],[])).
% 33.37/22.03 tff(7096,plain,
% 33.37/22.03 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2)),
% 33.37/22.03 inference(modus_ponens,[status(thm)],[7095, 7094])).
% 33.37/22.03 tff(7097,plain,
% 33.37/22.03 ($false),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[7096, 1850, 7093, 7092])).
% 33.37/22.03 tff(7098,plain,((~v120(constB27)) | v90(constB34, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 33.37/22.03 tff(7099,plain,
% 33.37/22.03 (v90(constB34, bitIndex2)),
% 33.37/22.03 inference(unit_resolution,[status(thm)],[7098, 4387])).
% 33.37/22.03 tff(7100,plain,
% 33.37/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 33.37/22.03 inference(rewrite,[status(thm)],[])).
% 33.37/22.03 tff(7101,plain,
% 33.37/22.03 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)) <=> ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 33.37/22.03 inference(rewrite,[status(thm)],[])).
% 33.37/22.03 tff(7102,plain,
% 33.44/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2)))),
% 33.44/22.03 inference(monotonicity,[status(thm)],[7101])).
% 33.44/22.03 tff(7103,plain,
% 33.44/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 33.44/22.03 inference(transitivity,[status(thm)],[7102, 7100])).
% 33.44/22.03 tff(7104,plain,
% 33.44/22.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))),
% 33.44/22.03 inference(quant_inst,[status(thm)],[])).
% 33.44/22.03 tff(7105,plain,
% 33.44/22.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2)),
% 33.44/22.03 inference(modus_ponens,[status(thm)],[7104, 7103])).
% 33.44/22.03 tff(7106,plain,
% 33.44/22.03 ((~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7105, 1658, 7011])).
% 33.44/22.03 tff(7107,plain,
% 33.44/22.03 ((~v90(constB34, bitIndex2)) | v90(constB35, bitIndex2)),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7106, 7023])).
% 33.44/22.03 tff(7108,plain,
% 33.44/22.03 (v90(constB35, bitIndex2)),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7107, 7099])).
% 33.44/22.03 tff(7109,plain,
% 33.44/22.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))),
% 33.44/22.03 inference(rewrite,[status(thm)],[])).
% 33.44/22.03 tff(7110,plain,
% 33.44/22.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))),
% 33.44/22.03 inference(quant_inst,[status(thm)],[])).
% 33.44/22.03 tff(7111,plain,
% 33.44/22.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35)),
% 33.44/22.03 inference(modus_ponens,[status(thm)],[7110, 7109])).
% 33.44/22.03 tff(7112,plain,
% 33.44/22.03 ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | v124(constB35)),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7111, 1994, 7108])).
% 33.44/22.03 tff(7113,plain,
% 33.44/22.03 (v124(constB35)),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7112, 7066, 7032])).
% 33.44/22.03 tff(7114,plain,
% 33.44/22.03 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB35) | (~v124(constB35)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB35) | (~v124(constB35)))),
% 33.44/22.03 inference(rewrite,[status(thm)],[])).
% 33.44/22.03 tff(7115,plain,
% 33.44/22.03 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB35) | (~v124(constB35)))),
% 33.44/22.03 inference(quant_inst,[status(thm)],[])).
% 33.44/22.03 tff(7116,plain,
% 33.44/22.03 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB35) | (~v124(constB35))),
% 33.44/22.03 inference(modus_ponens,[status(thm)],[7115, 7114])).
% 33.44/22.03 tff(7117,plain,
% 33.44/22.03 (v114(constB35)),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7116, 2005, 7113])).
% 33.44/22.03 tff(7118,plain,
% 33.44/22.03 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB35) | (~v114(constB35)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB35) | (~v114(constB35)))),
% 33.44/22.03 inference(rewrite,[status(thm)],[])).
% 33.44/22.03 tff(7119,plain,
% 33.44/22.03 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB35) | (~v114(constB35)))),
% 33.44/22.03 inference(quant_inst,[status(thm)],[])).
% 33.44/22.03 tff(7120,plain,
% 33.44/22.03 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB35) | (~v114(constB35))),
% 33.44/22.03 inference(modus_ponens,[status(thm)],[7119, 7118])).
% 33.44/22.03 tff(7121,plain,
% 33.44/22.03 (v113(constB35)),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7120, 542, 7117])).
% 33.44/22.03 tff(7122,assumption,(v26(constB35)), introduced(assumption)).
% 33.44/22.03 tff(7123,plain,
% 33.44/22.03 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB35))),
% 33.44/22.03 inference(quant_inst,[status(thm)],[])).
% 33.44/22.03 tff(7124,plain,
% 33.44/22.03 ($false),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7123, 120, 7122])).
% 33.44/22.03 tff(7125,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 33.44/22.03 tff(7126,plain,
% 33.44/22.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | v112(constB35) | (~v113(constB35)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 33.44/22.03 inference(rewrite,[status(thm)],[])).
% 33.44/22.03 tff(7127,plain,
% 33.44/22.03 ((v26(constB35) | (~v113(constB35)) | v112(constB35)) <=> (v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 33.44/22.03 inference(rewrite,[status(thm)],[])).
% 33.44/22.03 tff(7128,plain,
% 33.44/22.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | v112(constB35) | (~v113(constB35))))),
% 33.44/22.03 inference(monotonicity,[status(thm)],[7127])).
% 33.44/22.03 tff(7129,plain,
% 33.44/22.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 33.44/22.03 inference(transitivity,[status(thm)],[7128, 7126])).
% 33.44/22.03 tff(7130,plain,
% 33.44/22.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 33.44/22.03 inference(quant_inst,[status(thm)],[])).
% 33.44/22.03 tff(7131,plain,
% 33.44/22.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35))),
% 33.44/22.03 inference(modus_ponens,[status(thm)],[7130, 7129])).
% 33.44/22.03 tff(7132,plain,
% 33.44/22.03 (v112(constB35) | (~v113(constB35))),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7131, 556, 7125])).
% 33.44/22.03 tff(7133,plain,
% 33.44/22.03 (v112(constB35)),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7132, 7121])).
% 33.44/22.03 tff(7134,plain,
% 33.44/22.03 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB35) | (~v112(constB35)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB35) | (~v112(constB35)))),
% 33.44/22.03 inference(rewrite,[status(thm)],[])).
% 33.44/22.03 tff(7135,plain,
% 33.44/22.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB35) | (~v112(constB35)))),
% 33.44/22.03 inference(quant_inst,[status(thm)],[])).
% 33.44/22.03 tff(7136,plain,
% 33.44/22.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB35) | (~v112(constB35))),
% 33.44/22.03 inference(modus_ponens,[status(thm)],[7135, 7134])).
% 33.44/22.03 tff(7137,plain,
% 33.44/22.03 (v108(constB35)),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7136, 568, 7133])).
% 33.44/22.03 tff(7138,plain,
% 33.44/22.03 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 33.44/22.03 inference(rewrite,[status(thm)],[])).
% 33.44/22.03 tff(7139,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 33.44/22.03 tff(7140,plain,
% 33.44/22.03 (nextState(constB35, constB36)),
% 33.44/22.03 inference(modus_ponens,[status(thm)],[7139, 7138])).
% 33.44/22.03 tff(7141,plain,
% 33.44/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 33.44/22.03 inference(rewrite,[status(thm)],[])).
% 33.44/22.03 tff(7142,plain,
% 33.44/22.03 (((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36)) <=> ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 33.44/22.03 inference(rewrite,[status(thm)],[])).
% 33.44/22.03 tff(7143,plain,
% 33.44/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))))),
% 33.44/22.03 inference(monotonicity,[status(thm)],[7142])).
% 33.44/22.03 tff(7144,plain,
% 33.44/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 33.44/22.03 inference(transitivity,[status(thm)],[7143, 7141])).
% 33.44/22.03 tff(7145,plain,
% 33.44/22.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))),
% 33.44/22.03 inference(quant_inst,[status(thm)],[])).
% 33.44/22.03 tff(7146,plain,
% 33.44/22.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))),
% 33.44/22.03 inference(modus_ponens,[status(thm)],[7145, 7144])).
% 33.44/22.03 tff(7147,plain,
% 33.44/22.03 (v110(constB36) | (~v108(constB35))),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7146, 585, 7140])).
% 33.44/22.03 tff(7148,plain,
% 33.44/22.03 (v110(constB36)),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7147, 7137])).
% 33.44/22.03 tff(7149,plain,
% 33.44/22.03 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 33.44/22.03 inference(rewrite,[status(thm)],[])).
% 33.44/22.03 tff(7150,plain,
% 33.44/22.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 33.44/22.03 inference(quant_inst,[status(thm)],[])).
% 33.44/22.03 tff(7151,plain,
% 33.44/22.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36))),
% 33.44/22.03 inference(modus_ponens,[status(thm)],[7150, 7149])).
% 33.44/22.03 tff(7152,plain,
% 33.44/22.03 (~v104(constB36)),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7151, 603, 7140, 7008])).
% 33.44/22.03 tff(7153,plain,
% 33.44/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))),
% 33.44/22.03 inference(rewrite,[status(thm)],[])).
% 33.44/22.03 tff(7154,plain,
% 33.44/22.03 (((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36)) <=> ((~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))),
% 33.44/22.03 inference(rewrite,[status(thm)],[])).
% 33.44/22.03 tff(7155,plain,
% 33.44/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | v102(constB36)))),
% 33.44/22.03 inference(monotonicity,[status(thm)],[7154])).
% 33.44/22.03 tff(7156,plain,
% 33.44/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))),
% 33.44/22.03 inference(transitivity,[status(thm)],[7155, 7153])).
% 33.44/22.03 tff(7157,plain,
% 33.44/22.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 33.44/22.03 inference(quant_inst,[status(thm)],[])).
% 33.44/22.03 tff(7158,plain,
% 33.44/22.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | v102(constB36)),
% 33.44/22.03 inference(modus_ponens,[status(thm)],[7157, 7156])).
% 33.44/22.03 tff(7159,plain,
% 33.44/22.03 (v104(constB36) | v102(constB36)),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7158, 617, 7140])).
% 33.44/22.03 tff(7160,plain,
% 33.44/22.03 (v102(constB36)),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7159, 7152])).
% 33.44/22.03 tff(7161,plain,
% 33.44/22.03 (v1(constB36) <=> v1(constB36)),
% 33.44/22.03 inference(rewrite,[status(thm)],[])).
% 33.44/22.03 tff(7162,axiom,(v1(constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 33.44/22.03 tff(7163,plain,
% 33.44/22.03 (v1(constB36)),
% 33.44/22.03 inference(modus_ponens,[status(thm)],[7162, 7161])).
% 33.44/22.03 tff(7164,plain,
% 33.44/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))),
% 33.44/22.03 inference(rewrite,[status(thm)],[])).
% 33.44/22.03 tff(7165,plain,
% 33.44/22.03 (((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36))) <=> ((~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))),
% 33.44/22.03 inference(rewrite,[status(thm)],[])).
% 33.44/22.03 tff(7166,plain,
% 33.44/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36))))),
% 33.44/22.03 inference(monotonicity,[status(thm)],[7165])).
% 33.44/22.03 tff(7167,plain,
% 33.44/22.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))),
% 33.44/22.03 inference(transitivity,[status(thm)],[7166, 7164])).
% 33.44/22.03 tff(7168,plain,
% 33.44/22.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 33.44/22.03 inference(quant_inst,[status(thm)],[])).
% 33.44/22.03 tff(7169,plain,
% 33.44/22.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36))),
% 33.44/22.03 inference(modus_ponens,[status(thm)],[7168, 7167])).
% 33.44/22.03 tff(7170,plain,
% 33.44/22.03 (v101(constB36) | (~v102(constB36))),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7169, 638, 7140, 7163])).
% 33.44/22.03 tff(7171,plain,
% 33.44/22.03 (v101(constB36)),
% 33.44/22.03 inference(unit_resolution,[status(thm)],[7170, 7160])).
% 33.44/22.04 tff(7172,plain,
% 33.44/22.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7173,plain,
% 33.44/22.04 (((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36)) <=> ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7174,plain,
% 33.44/22.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))))),
% 33.44/22.04 inference(monotonicity,[status(thm)],[7173])).
% 33.44/22.04 tff(7175,plain,
% 33.44/22.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 33.44/22.04 inference(transitivity,[status(thm)],[7174, 7172])).
% 33.44/22.04 tff(7176,plain,
% 33.44/22.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7177,plain,
% 33.44/22.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7176, 7175])).
% 33.44/22.04 tff(7178,plain,
% 33.44/22.04 (v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7177, 656, 7140])).
% 33.44/22.04 tff(7179,plain,
% 33.44/22.04 (v100(constB36) | (~v110(constB36))),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7178, 7171])).
% 33.44/22.04 tff(7180,plain,
% 33.44/22.04 (v100(constB36)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7179, 7148])).
% 33.44/22.04 tff(7181,plain,
% 33.44/22.04 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB35)) | v130(constB35, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB35)) | v130(constB35, bitIndex1))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7182,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB35)) | v130(constB35, bitIndex1))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7183,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB35)) | v130(constB35, bitIndex1)),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7182, 7181])).
% 33.44/22.04 tff(7184,plain,
% 33.44/22.04 (v130(constB35, bitIndex1)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7183, 2145, 7113])).
% 33.44/22.04 tff(7185,plain,
% 33.44/22.04 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7186,plain,
% 33.44/22.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7187,plain,
% 33.44/22.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1)),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7186, 7185])).
% 33.44/22.04 tff(7188,plain,
% 33.44/22.04 ((~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7187, 1101, 7125])).
% 33.44/22.04 tff(7189,plain,
% 33.44/22.04 (v127(constB35, bitIndex1)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7188, 7184])).
% 33.44/22.04 tff(7190,plain,
% 33.44/22.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7191,plain,
% 33.44/22.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7192,plain,
% 33.44/22.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1)),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7191, 7190])).
% 33.44/22.04 tff(7193,plain,
% 33.44/22.04 ((~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7192, 1116, 7140])).
% 33.44/22.04 tff(7194,plain,
% 33.44/22.04 (v129(constB36, bitIndex1)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7193, 7189])).
% 33.44/22.04 tff(7195,plain,
% 33.44/22.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7196,plain,
% 33.44/22.04 ((v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1))) <=> (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7197,plain,
% 33.44/22.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36))))),
% 33.44/22.04 inference(monotonicity,[status(thm)],[7196])).
% 33.44/22.04 tff(7198,plain,
% 33.44/22.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 33.44/22.04 inference(transitivity,[status(thm)],[7197, 7195])).
% 33.44/22.04 tff(7199,plain,
% 33.44/22.04 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7200,plain,
% 33.44/22.04 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36))),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7199, 7198])).
% 33.44/22.04 tff(7201,plain,
% 33.44/22.04 (v90(constB36, bitIndex1) | (~v100(constB36))),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7200, 1131, 7194])).
% 33.44/22.04 tff(7202,plain,
% 33.44/22.04 (v90(constB36, bitIndex1)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7201, 7180])).
% 33.44/22.04 tff(7203,plain,
% 33.44/22.04 ((~v1(constB37)) <=> (~v1(constB37))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7204,axiom,(~v1(constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 33.44/22.04 tff(7205,plain,
% 33.44/22.04 (~v1(constB37)),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7204, 7203])).
% 33.44/22.04 tff(7206,plain,
% 33.44/22.04 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7207,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 33.44/22.04 tff(7208,plain,
% 33.44/22.04 (nextState(constB36, constB37)),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7207, 7206])).
% 33.44/22.04 tff(7209,plain,
% 33.44/22.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7210,plain,
% 33.44/22.04 (((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7211,plain,
% 33.44/22.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))))),
% 33.44/22.04 inference(monotonicity,[status(thm)],[7210])).
% 33.44/22.04 tff(7212,plain,
% 33.44/22.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 33.44/22.04 inference(transitivity,[status(thm)],[7211, 7209])).
% 33.44/22.04 tff(7213,plain,
% 33.44/22.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7214,plain,
% 33.44/22.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7213, 7212])).
% 33.44/22.04 tff(7215,plain,
% 33.44/22.04 (~v101(constB37)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7214, 381, 7208, 7205])).
% 33.44/22.04 tff(7216,plain,
% 33.44/22.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7217,plain,
% 33.44/22.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7218,plain,
% 33.44/22.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37))),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7217, 7216])).
% 33.44/22.04 tff(7219,plain,
% 33.44/22.04 (v101(constB37) | (~v100(constB37))),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7218, 398, 7208])).
% 33.44/22.04 tff(7220,plain,
% 33.44/22.04 (~v100(constB37)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7219, 7215])).
% 33.44/22.04 tff(7221,plain,
% 33.44/22.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7222,plain,
% 33.44/22.04 (((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1)) <=> ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7223,plain,
% 33.44/22.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1)))),
% 33.44/22.04 inference(monotonicity,[status(thm)],[7222])).
% 33.44/22.04 tff(7224,plain,
% 33.44/22.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 33.44/22.04 inference(transitivity,[status(thm)],[7223, 7221])).
% 33.44/22.04 tff(7225,plain,
% 33.44/22.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7226,plain,
% 33.44/22.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1)),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7225, 7224])).
% 33.44/22.04 tff(7227,plain,
% 33.44/22.04 ((~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7226, 1149, 7208])).
% 33.44/22.04 tff(7228,plain,
% 33.44/22.04 ((~v90(constB36, bitIndex1)) | v90(constB37, bitIndex1)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7227, 7220])).
% 33.44/22.04 tff(7229,plain,
% 33.44/22.04 (v90(constB37, bitIndex1)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7228, 7202])).
% 33.44/22.04 tff(7230,plain,
% 33.44/22.04 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v124(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v124(constB37)))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7231,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v124(constB37)))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7232,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v124(constB37))),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7231, 7230])).
% 33.44/22.04 tff(7233,plain,
% 33.44/22.04 (~v124(constB37)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7232, 2205, 7229])).
% 33.44/22.04 tff(7234,plain,
% 33.44/22.04 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB35)) | v130(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB35)) | v130(constB35, bitIndex2))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7235,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB35)) | v130(constB35, bitIndex2))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7236,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB35)) | v130(constB35, bitIndex2)),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7235, 7234])).
% 33.44/22.04 tff(7237,plain,
% 33.44/22.04 (v130(constB35, bitIndex2)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7236, 2075, 7113])).
% 33.44/22.04 tff(7238,plain,
% 33.44/22.04 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7239,plain,
% 33.44/22.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7240,plain,
% 33.44/22.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2)),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7239, 7238])).
% 33.44/22.04 tff(7241,plain,
% 33.44/22.04 ((~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7240, 1592, 7125])).
% 33.44/22.04 tff(7242,plain,
% 33.44/22.04 (v127(constB35, bitIndex2)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7241, 7237])).
% 33.44/22.04 tff(7243,plain,
% 33.44/22.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7244,plain,
% 33.44/22.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7245,plain,
% 33.44/22.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2)),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7244, 7243])).
% 33.44/22.04 tff(7246,plain,
% 33.44/22.04 ((~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7245, 1607, 7140])).
% 33.44/22.04 tff(7247,plain,
% 33.44/22.04 (v129(constB36, bitIndex2)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7246, 7242])).
% 33.44/22.04 tff(7248,plain,
% 33.44/22.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7249,plain,
% 33.44/22.04 ((v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2))) <=> (v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7250,plain,
% 33.44/22.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36))))),
% 33.44/22.04 inference(monotonicity,[status(thm)],[7249])).
% 33.44/22.04 tff(7251,plain,
% 33.44/22.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))),
% 33.44/22.04 inference(transitivity,[status(thm)],[7250, 7248])).
% 33.44/22.04 tff(7252,plain,
% 33.44/22.04 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2)))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7253,plain,
% 33.44/22.04 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36))),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7252, 7251])).
% 33.44/22.04 tff(7254,plain,
% 33.44/22.04 (v90(constB36, bitIndex2) | (~v100(constB36))),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7253, 1622, 7247])).
% 33.44/22.04 tff(7255,plain,
% 33.44/22.04 (v90(constB36, bitIndex2)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7254, 7180])).
% 33.44/22.04 tff(7256,plain,
% 33.44/22.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7257,plain,
% 33.44/22.04 (((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2)) <=> ((~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7258,plain,
% 33.44/22.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2)))),
% 33.44/22.04 inference(monotonicity,[status(thm)],[7257])).
% 33.44/22.04 tff(7259,plain,
% 33.44/22.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))),
% 33.44/22.04 inference(transitivity,[status(thm)],[7258, 7256])).
% 33.44/22.04 tff(7260,plain,
% 33.44/22.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7261,plain,
% 33.44/22.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2)),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7260, 7259])).
% 33.44/22.04 tff(7262,plain,
% 33.44/22.04 ((~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7261, 1658, 7208])).
% 33.44/22.04 tff(7263,plain,
% 33.44/22.04 ((~v90(constB36, bitIndex2)) | v90(constB37, bitIndex2)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7262, 7220])).
% 33.44/22.04 tff(7264,plain,
% 33.44/22.04 (v90(constB37, bitIndex2)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7263, 7255])).
% 33.44/22.04 tff(7265,plain,
% 33.44/22.04 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v122(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v122(constB37)))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7266,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v122(constB37)))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7267,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v122(constB37))),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7266, 7265])).
% 33.44/22.04 tff(7268,plain,
% 33.44/22.04 (~v122(constB37)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7267, 2131, 7264])).
% 33.44/22.04 tff(7269,plain,
% 33.44/22.04 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v120(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v120(constB37)))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7270,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v120(constB37)))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7271,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v120(constB37))),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7270, 7269])).
% 33.44/22.04 tff(7272,plain,
% 33.44/22.04 (~v120(constB37)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7271, 2183, 7229])).
% 33.44/22.04 tff(7273,plain,
% 33.44/22.04 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v121(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v121(constB37)))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7274,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v121(constB37)))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7275,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v121(constB37))),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7274, 7273])).
% 33.44/22.04 tff(7276,plain,
% 33.44/22.04 (~v121(constB37)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7275, 2216, 7264])).
% 33.44/22.04 tff(7277,plain,
% 33.44/22.04 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v123(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v123(constB37)))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7278,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v123(constB37)))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7279,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v123(constB37))),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7278, 7277])).
% 33.44/22.04 tff(7280,plain,
% 33.44/22.04 (~v123(constB37)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7279, 2194, 7229])).
% 33.44/22.04 tff(7281,plain,
% 33.44/22.04 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB37)) | (~v90(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB37)) | (~v90(constB37, bitIndex1)))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7282,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB37)) | (~v90(constB37, bitIndex1)))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7283,plain,
% 33.44/22.04 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB37)) | (~v90(constB37, bitIndex1))),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7282, 7281])).
% 33.44/22.04 tff(7284,plain,
% 33.44/22.04 (~v119(constB37)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7283, 2230, 7229])).
% 33.44/22.04 tff(7285,plain,
% 33.44/22.04 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB37, bitIndex2)) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB37, bitIndex2)) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7286,plain,
% 33.44/22.04 ((v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2))) <=> ((~v130(constB37, bitIndex2)) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7287,plain,
% 33.44/22.04 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB37, bitIndex2)) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37)))),
% 33.44/22.04 inference(monotonicity,[status(thm)],[7286])).
% 33.44/22.04 tff(7288,plain,
% 33.44/22.04 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB37, bitIndex2)) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37))),
% 33.44/22.04 inference(transitivity,[status(thm)],[7287, 7285])).
% 33.44/22.04 tff(7289,plain,
% 33.44/22.04 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2)))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7290,plain,
% 33.44/22.04 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB37, bitIndex2)) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37)),
% 33.44/22.04 inference(modus_ponens,[status(thm)],[7289, 7288])).
% 33.44/22.04 tff(7291,plain,
% 33.44/22.04 (~v130(constB37, bitIndex2)),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7290, 2244, 7284, 7280, 7276, 7272, 7268, 7233])).
% 33.44/22.04 tff(7292,assumption,(v26(constB37)), introduced(assumption)).
% 33.44/22.04 tff(7293,plain,
% 33.44/22.04 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB37))),
% 33.44/22.04 inference(quant_inst,[status(thm)],[])).
% 33.44/22.04 tff(7294,plain,
% 33.44/22.04 ($false),
% 33.44/22.04 inference(unit_resolution,[status(thm)],[7293, 120, 7292])).
% 33.44/22.04 tff(7295,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 33.44/22.04 tff(7296,plain,
% 33.44/22.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7297,plain,
% 33.44/22.04 ((v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2))) <=> ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 33.44/22.04 inference(rewrite,[status(thm)],[])).
% 33.44/22.04 tff(7298,plain,
% 33.44/22.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)))),
% 33.44/22.05 inference(monotonicity,[status(thm)],[7297])).
% 33.44/22.05 tff(7299,plain,
% 33.44/22.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 33.44/22.05 inference(transitivity,[status(thm)],[7298, 7296])).
% 33.44/22.05 tff(7300,plain,
% 33.44/22.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7301,plain,
% 33.44/22.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7300, 7299])).
% 33.44/22.05 tff(7302,plain,
% 33.44/22.05 ((~v127(constB37, bitIndex2)) | v130(constB37, bitIndex2)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7301, 689, 7295])).
% 33.44/22.05 tff(7303,plain,
% 33.44/22.05 (~v127(constB37, bitIndex2)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7302, 7291])).
% 33.44/22.05 tff(7304,plain,
% 33.44/22.05 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7305,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 33.44/22.05 tff(7306,plain,
% 33.44/22.05 (nextState(constB37, constB38)),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7305, 7304])).
% 33.44/22.05 tff(7307,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7308,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7309,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7308, 7307])).
% 33.44/22.05 tff(7310,plain,
% 33.44/22.05 (v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7309, 707, 7306])).
% 33.44/22.05 tff(7311,plain,
% 33.44/22.05 (~v129(constB38, bitIndex2)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7310, 7303])).
% 33.44/22.05 tff(7312,plain,
% 33.44/22.05 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB35)) | (~v130(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB35)) | (~v130(constB35, bitIndex0)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7313,plain,
% 33.44/22.05 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB35)) | (~v130(constB35, bitIndex0)))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7314,plain,
% 33.44/22.05 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB35)) | (~v130(constB35, bitIndex0))),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7313, 7312])).
% 33.44/22.05 tff(7315,plain,
% 33.44/22.05 (~v130(constB35, bitIndex0)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7314, 2277, 7113])).
% 33.44/22.05 tff(7316,plain,
% 33.44/22.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7317,plain,
% 33.44/22.05 ((v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0))) <=> ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7318,plain,
% 33.44/22.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0)))),
% 33.44/22.05 inference(monotonicity,[status(thm)],[7317])).
% 33.44/22.05 tff(7319,plain,
% 33.44/22.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 33.44/22.05 inference(transitivity,[status(thm)],[7318, 7316])).
% 33.44/22.05 tff(7320,plain,
% 33.44/22.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7321,plain,
% 33.44/22.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0)),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7320, 7319])).
% 33.44/22.05 tff(7322,plain,
% 33.44/22.05 ((~v127(constB35, bitIndex0)) | v130(constB35, bitIndex0)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7321, 1182, 7125])).
% 33.44/22.05 tff(7323,plain,
% 33.44/22.05 (~v127(constB35, bitIndex0)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7322, 7315])).
% 33.44/22.05 tff(7324,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7325,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7326,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0))),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7325, 7324])).
% 33.44/22.05 tff(7327,plain,
% 33.44/22.05 (v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0))),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7326, 1200, 7140])).
% 33.44/22.05 tff(7328,plain,
% 33.44/22.05 (~v129(constB36, bitIndex0)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7327, 7323])).
% 33.44/22.05 tff(7329,plain,
% 33.44/22.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7330,plain,
% 33.44/22.05 (((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0)) <=> ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7331,plain,
% 33.44/22.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36))))),
% 33.44/22.05 inference(monotonicity,[status(thm)],[7330])).
% 33.44/22.05 tff(7332,plain,
% 33.44/22.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 33.44/22.05 inference(transitivity,[status(thm)],[7331, 7329])).
% 33.44/22.05 tff(7333,plain,
% 33.44/22.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7334,plain,
% 33.44/22.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36))),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7333, 7332])).
% 33.44/22.05 tff(7335,plain,
% 33.44/22.05 ((~v90(constB36, bitIndex0)) | (~v100(constB36))),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7334, 1215, 7328])).
% 33.44/22.05 tff(7336,plain,
% 33.44/22.05 (~v90(constB36, bitIndex0)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7335, 7180])).
% 33.44/22.05 tff(7337,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7338,plain,
% 33.44/22.05 (((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0))) <=> (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7339,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0))))),
% 33.44/22.05 inference(monotonicity,[status(thm)],[7338])).
% 33.44/22.05 tff(7340,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 33.44/22.05 inference(transitivity,[status(thm)],[7339, 7337])).
% 33.44/22.05 tff(7341,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7342,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0))),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7341, 7340])).
% 33.44/22.05 tff(7343,plain,
% 33.44/22.05 (v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0))),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7342, 455, 7208])).
% 33.44/22.05 tff(7344,plain,
% 33.44/22.05 (v90(constB36, bitIndex0) | (~v90(constB37, bitIndex0))),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7343, 7220])).
% 33.44/22.05 tff(7345,plain,
% 33.44/22.05 (~v90(constB37, bitIndex0)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7344, 7336])).
% 33.44/22.05 tff(7346,plain,
% 33.44/22.05 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7347,plain,
% 33.44/22.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7348,plain,
% 33.44/22.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37)),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7347, 7346])).
% 33.44/22.05 tff(7349,plain,
% 33.44/22.05 (v125(constB37)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7348, 2321, 7345, 7229, 7264])).
% 33.44/22.05 tff(7350,plain,
% 33.44/22.05 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB37) | (~v125(constB37)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB37) | (~v125(constB37)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7351,plain,
% 33.44/22.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB37) | (~v125(constB37)))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7352,plain,
% 33.44/22.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB37) | (~v125(constB37))),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7351, 7350])).
% 33.44/22.05 tff(7353,plain,
% 33.44/22.05 (v113(constB37)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7352, 2332, 7349])).
% 33.44/22.05 tff(7354,assumption,(~v108(constB37)), introduced(assumption)).
% 33.44/22.05 tff(7355,plain,
% 33.44/22.05 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB37) | (~v112(constB37)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB37) | (~v112(constB37)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7356,plain,
% 33.44/22.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB37) | (~v112(constB37)))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7357,plain,
% 33.44/22.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB37) | (~v112(constB37))),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7356, 7355])).
% 33.44/22.05 tff(7358,plain,
% 33.44/22.05 (~v112(constB37)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7357, 568, 7354])).
% 33.44/22.05 tff(7359,plain,
% 33.44/22.05 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB37) | (~v26(constB37)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB37) | (~v26(constB37)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7360,plain,
% 33.44/22.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB37) | (~v26(constB37)))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7361,plain,
% 33.44/22.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB37) | (~v26(constB37))),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7360, 7359])).
% 33.44/22.05 tff(7362,plain,
% 33.44/22.05 (~v26(constB37)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7361, 2348, 7354])).
% 33.44/22.05 tff(7363,assumption,(v113(constB37)), introduced(assumption)).
% 33.44/22.05 tff(7364,plain,
% 33.44/22.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | v112(constB37) | (~v113(constB37)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7365,plain,
% 33.44/22.05 ((v26(constB37) | (~v113(constB37)) | v112(constB37)) <=> (v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7366,plain,
% 33.44/22.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | v112(constB37) | (~v113(constB37))))),
% 33.44/22.05 inference(monotonicity,[status(thm)],[7365])).
% 33.44/22.05 tff(7367,plain,
% 33.44/22.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 33.44/22.05 inference(transitivity,[status(thm)],[7366, 7364])).
% 33.44/22.05 tff(7368,plain,
% 33.44/22.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7369,plain,
% 33.44/22.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37))),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7368, 7367])).
% 33.44/22.05 tff(7370,plain,
% 33.44/22.05 (v26(constB37) | v112(constB37)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7369, 556, 7363])).
% 33.44/22.05 tff(7371,plain,
% 33.44/22.05 ($false),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7370, 7362, 7358])).
% 33.44/22.05 tff(7372,plain,(v108(constB37) | (~v113(constB37))), inference(lemma,lemma(discharge,[]))).
% 33.44/22.05 tff(7373,plain,
% 33.44/22.05 (v108(constB37)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7372, 7353])).
% 33.44/22.05 tff(7374,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7375,plain,
% 33.44/22.05 (((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38)) <=> ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7376,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))))),
% 33.44/22.05 inference(monotonicity,[status(thm)],[7375])).
% 33.44/22.05 tff(7377,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 33.44/22.05 inference(transitivity,[status(thm)],[7376, 7374])).
% 33.44/22.05 tff(7378,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7379,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7378, 7377])).
% 33.44/22.05 tff(7380,plain,
% 33.44/22.05 (v110(constB38) | (~v108(constB37))),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7379, 585, 7306])).
% 33.44/22.05 tff(7381,plain,
% 33.44/22.05 (v110(constB38)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7380, 7373])).
% 33.44/22.05 tff(7382,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7383,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7384,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38))),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7383, 7382])).
% 33.44/22.05 tff(7385,plain,
% 33.44/22.05 (~v104(constB38)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7384, 603, 7306, 7205])).
% 33.44/22.05 tff(7386,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7387,plain,
% 33.44/22.05 (((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38)) <=> ((~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7388,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | v102(constB38)))),
% 33.44/22.05 inference(monotonicity,[status(thm)],[7387])).
% 33.44/22.05 tff(7389,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))),
% 33.44/22.05 inference(transitivity,[status(thm)],[7388, 7386])).
% 33.44/22.05 tff(7390,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7391,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | v102(constB38)),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7390, 7389])).
% 33.44/22.05 tff(7392,plain,
% 33.44/22.05 (v104(constB38) | v102(constB38)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7391, 617, 7306])).
% 33.44/22.05 tff(7393,plain,
% 33.44/22.05 (v102(constB38)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7392, 7385])).
% 33.44/22.05 tff(7394,plain,
% 33.44/22.05 (v1(constB38) <=> v1(constB38)),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7395,axiom,(v1(constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 33.44/22.05 tff(7396,plain,
% 33.44/22.05 (v1(constB38)),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7395, 7394])).
% 33.44/22.05 tff(7397,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7398,plain,
% 33.44/22.05 (((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38))) <=> ((~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7399,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38))))),
% 33.44/22.05 inference(monotonicity,[status(thm)],[7398])).
% 33.44/22.05 tff(7400,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))),
% 33.44/22.05 inference(transitivity,[status(thm)],[7399, 7397])).
% 33.44/22.05 tff(7401,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7402,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38))),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7401, 7400])).
% 33.44/22.05 tff(7403,plain,
% 33.44/22.05 (v101(constB38) | (~v102(constB38))),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7402, 638, 7306, 7396])).
% 33.44/22.05 tff(7404,plain,
% 33.44/22.05 (v101(constB38)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7403, 7393])).
% 33.44/22.05 tff(7405,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7406,plain,
% 33.44/22.05 (((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38)) <=> ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7407,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))))),
% 33.44/22.05 inference(monotonicity,[status(thm)],[7406])).
% 33.44/22.05 tff(7408,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 33.44/22.05 inference(transitivity,[status(thm)],[7407, 7405])).
% 33.44/22.05 tff(7409,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7410,plain,
% 33.44/22.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7409, 7408])).
% 33.44/22.05 tff(7411,plain,
% 33.44/22.05 (v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7410, 656, 7306])).
% 33.44/22.05 tff(7412,plain,
% 33.44/22.05 (v100(constB38) | (~v110(constB38))),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7411, 7404])).
% 33.44/22.05 tff(7413,plain,
% 33.44/22.05 (v100(constB38)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7412, 7381])).
% 33.44/22.05 tff(7414,plain,
% 33.44/22.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7415,plain,
% 33.44/22.05 (((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2)) <=> ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7416,plain,
% 33.44/22.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38))))),
% 33.44/22.05 inference(monotonicity,[status(thm)],[7415])).
% 33.44/22.05 tff(7417,plain,
% 33.44/22.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 33.44/22.05 inference(transitivity,[status(thm)],[7416, 7414])).
% 33.44/22.05 tff(7418,plain,
% 33.44/22.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2))),
% 33.44/22.05 inference(quant_inst,[status(thm)],[])).
% 33.44/22.05 tff(7419,plain,
% 33.44/22.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38))),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7418, 7417])).
% 33.44/22.05 tff(7420,plain,
% 33.44/22.05 (~v90(constB38, bitIndex2)),
% 33.44/22.05 inference(unit_resolution,[status(thm)],[7419, 722, 7413, 7311])).
% 33.44/22.05 tff(7421,plain,
% 33.44/22.05 ((~v1(constB39)) <=> (~v1(constB39))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7422,axiom,(~v1(constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 33.44/22.05 tff(7423,plain,
% 33.44/22.05 (~v1(constB39)),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7422, 7421])).
% 33.44/22.05 tff(7424,plain,
% 33.44/22.05 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7425,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 33.44/22.05 tff(7426,plain,
% 33.44/22.05 (nextState(constB38, constB39)),
% 33.44/22.05 inference(modus_ponens,[status(thm)],[7425, 7424])).
% 33.44/22.05 tff(7427,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7428,plain,
% 33.44/22.05 (((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 33.44/22.05 inference(rewrite,[status(thm)],[])).
% 33.44/22.05 tff(7429,plain,
% 33.44/22.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))))),
% 33.44/22.06 inference(monotonicity,[status(thm)],[7428])).
% 33.44/22.06 tff(7430,plain,
% 33.44/22.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 33.44/22.06 inference(transitivity,[status(thm)],[7429, 7427])).
% 33.44/22.06 tff(7431,plain,
% 33.44/22.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))),
% 33.44/22.06 inference(quant_inst,[status(thm)],[])).
% 33.44/22.06 tff(7432,plain,
% 33.44/22.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))),
% 33.44/22.06 inference(modus_ponens,[status(thm)],[7431, 7430])).
% 33.44/22.06 tff(7433,plain,
% 33.44/22.06 (~v101(constB39)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7432, 381, 7426, 7423])).
% 33.44/22.06 tff(7434,plain,
% 33.44/22.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7435,plain,
% 33.44/22.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 33.44/22.06 inference(quant_inst,[status(thm)],[])).
% 33.44/22.06 tff(7436,plain,
% 33.44/22.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39))),
% 33.44/22.06 inference(modus_ponens,[status(thm)],[7435, 7434])).
% 33.44/22.06 tff(7437,plain,
% 33.44/22.06 (v101(constB39) | (~v100(constB39))),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7436, 398, 7426])).
% 33.44/22.06 tff(7438,plain,
% 33.44/22.06 (~v100(constB39)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7437, 7433])).
% 33.44/22.06 tff(7439,plain,
% 33.44/22.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7440,plain,
% 33.44/22.06 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))) <=> (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7441,plain,
% 33.44/22.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2))))),
% 33.44/22.06 inference(monotonicity,[status(thm)],[7440])).
% 33.44/22.06 tff(7442,plain,
% 33.44/22.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 33.44/22.06 inference(transitivity,[status(thm)],[7441, 7439])).
% 33.44/22.06 tff(7443,plain,
% 33.44/22.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 33.44/22.06 inference(quant_inst,[status(thm)],[])).
% 33.44/22.06 tff(7444,plain,
% 33.44/22.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 33.44/22.06 inference(modus_ponens,[status(thm)],[7443, 7442])).
% 33.44/22.06 tff(7445,plain,
% 33.44/22.06 (v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7444, 413, 7426])).
% 33.44/22.06 tff(7446,plain,
% 33.44/22.06 (v90(constB38, bitIndex2) | (~v90(constB39, bitIndex2))),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7445, 7438])).
% 33.44/22.06 tff(7447,plain,
% 33.44/22.06 (~v90(constB39, bitIndex2)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7446, 7420])).
% 33.44/22.06 tff(7448,plain,
% 33.44/22.06 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB37, bitIndex1)) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB37, bitIndex1)) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7449,plain,
% 33.44/22.06 ((v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1))) <=> ((~v130(constB37, bitIndex1)) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7450,plain,
% 33.44/22.06 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB37, bitIndex1)) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37)))),
% 33.44/22.06 inference(monotonicity,[status(thm)],[7449])).
% 33.44/22.06 tff(7451,plain,
% 33.44/22.06 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB37, bitIndex1)) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37))),
% 33.44/22.06 inference(transitivity,[status(thm)],[7450, 7448])).
% 33.44/22.06 tff(7452,plain,
% 33.44/22.06 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))),
% 33.44/22.06 inference(quant_inst,[status(thm)],[])).
% 33.44/22.06 tff(7453,plain,
% 33.44/22.06 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB37, bitIndex1)) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37)),
% 33.44/22.06 inference(modus_ponens,[status(thm)],[7452, 7451])).
% 33.44/22.06 tff(7454,plain,
% 33.44/22.06 (~v130(constB37, bitIndex1)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7453, 2448, 7284, 7280, 7276, 7272, 7268, 7233])).
% 33.44/22.06 tff(7455,plain,
% 33.44/22.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7456,plain,
% 33.44/22.06 ((v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1))) <=> ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7457,plain,
% 33.44/22.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1)))),
% 33.44/22.06 inference(monotonicity,[status(thm)],[7456])).
% 33.44/22.06 tff(7458,plain,
% 33.44/22.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 33.44/22.06 inference(transitivity,[status(thm)],[7457, 7455])).
% 33.44/22.06 tff(7459,plain,
% 33.44/22.06 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))),
% 33.44/22.06 inference(quant_inst,[status(thm)],[])).
% 33.44/22.06 tff(7460,plain,
% 33.44/22.06 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1)),
% 33.44/22.06 inference(modus_ponens,[status(thm)],[7459, 7458])).
% 33.44/22.06 tff(7461,plain,
% 33.44/22.06 ((~v127(constB37, bitIndex1)) | v130(constB37, bitIndex1)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7460, 781, 7295])).
% 33.44/22.06 tff(7462,plain,
% 33.44/22.06 (~v127(constB37, bitIndex1)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7461, 7454])).
% 33.44/22.06 tff(7463,plain,
% 33.44/22.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7464,plain,
% 33.44/22.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))),
% 33.44/22.06 inference(quant_inst,[status(thm)],[])).
% 33.44/22.06 tff(7465,plain,
% 33.44/22.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1))),
% 33.44/22.06 inference(modus_ponens,[status(thm)],[7464, 7463])).
% 33.44/22.06 tff(7466,plain,
% 33.44/22.06 (v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1))),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7465, 799, 7306])).
% 33.44/22.06 tff(7467,plain,
% 33.44/22.06 (~v129(constB38, bitIndex1)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7466, 7462])).
% 33.44/22.06 tff(7468,plain,
% 33.44/22.06 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7469,plain,
% 33.44/22.06 (((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1)) <=> ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7470,plain,
% 33.44/22.06 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38))))),
% 33.44/22.06 inference(monotonicity,[status(thm)],[7469])).
% 33.44/22.06 tff(7471,plain,
% 33.44/22.06 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 33.44/22.06 inference(transitivity,[status(thm)],[7470, 7468])).
% 33.44/22.06 tff(7472,plain,
% 33.44/22.06 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))),
% 33.44/22.06 inference(quant_inst,[status(thm)],[])).
% 33.44/22.06 tff(7473,plain,
% 33.44/22.06 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38))),
% 33.44/22.06 inference(modus_ponens,[status(thm)],[7472, 7471])).
% 33.44/22.06 tff(7474,plain,
% 33.44/22.06 (~v90(constB38, bitIndex1)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7473, 814, 7413, 7467])).
% 33.44/22.06 tff(7475,plain,
% 33.44/22.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7476,plain,
% 33.44/22.06 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1))) <=> (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7477,plain,
% 33.44/22.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1))))),
% 33.44/22.06 inference(monotonicity,[status(thm)],[7476])).
% 33.44/22.06 tff(7478,plain,
% 33.44/22.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 33.44/22.06 inference(transitivity,[status(thm)],[7477, 7475])).
% 33.44/22.06 tff(7479,plain,
% 33.44/22.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 33.44/22.06 inference(quant_inst,[status(thm)],[])).
% 33.44/22.06 tff(7480,plain,
% 33.44/22.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1))),
% 33.44/22.06 inference(modus_ponens,[status(thm)],[7479, 7478])).
% 33.44/22.06 tff(7481,plain,
% 33.44/22.06 (v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1))),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7480, 434, 7426])).
% 33.44/22.06 tff(7482,plain,
% 33.44/22.06 (v90(constB38, bitIndex1) | (~v90(constB39, bitIndex1))),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7481, 7438])).
% 33.44/22.06 tff(7483,plain,
% 33.44/22.06 (~v90(constB39, bitIndex1)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7482, 7474])).
% 33.44/22.06 tff(7484,plain,
% 33.44/22.06 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB37, bitIndex0) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB37, bitIndex0) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7485,plain,
% 33.44/22.06 ((v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0)) <=> (v130(constB37, bitIndex0) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7486,plain,
% 33.44/22.06 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB37, bitIndex0) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37)))),
% 33.44/22.06 inference(monotonicity,[status(thm)],[7485])).
% 33.44/22.06 tff(7487,plain,
% 33.44/22.06 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB37, bitIndex0) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37))),
% 33.44/22.06 inference(transitivity,[status(thm)],[7486, 7484])).
% 33.44/22.06 tff(7488,plain,
% 33.44/22.06 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))),
% 33.44/22.06 inference(quant_inst,[status(thm)],[])).
% 33.44/22.06 tff(7489,plain,
% 33.44/22.06 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB37, bitIndex0) | v124(constB37) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37)),
% 33.44/22.06 inference(modus_ponens,[status(thm)],[7488, 7487])).
% 33.44/22.06 tff(7490,plain,
% 33.44/22.06 (v130(constB37, bitIndex0)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7489, 2495, 7284, 7280, 7276, 7272, 7268, 7233])).
% 33.44/22.06 tff(7491,plain,
% 33.44/22.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7492,plain,
% 33.44/22.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))),
% 33.44/22.06 inference(quant_inst,[status(thm)],[])).
% 33.44/22.06 tff(7493,plain,
% 33.44/22.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0)),
% 33.44/22.06 inference(modus_ponens,[status(thm)],[7492, 7491])).
% 33.44/22.06 tff(7494,plain,
% 33.44/22.06 ((~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7493, 855, 7295])).
% 33.44/22.06 tff(7495,plain,
% 33.44/22.06 (v127(constB37, bitIndex0)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7494, 7490])).
% 33.44/22.06 tff(7496,plain,
% 33.44/22.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7497,plain,
% 33.44/22.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))),
% 33.44/22.06 inference(quant_inst,[status(thm)],[])).
% 33.44/22.06 tff(7498,plain,
% 33.44/22.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0)),
% 33.44/22.06 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 33.44/22.06 tff(7499,plain,
% 33.44/22.06 ((~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7498, 870, 7306])).
% 33.44/22.06 tff(7500,plain,
% 33.44/22.06 (v129(constB38, bitIndex0)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7499, 7495])).
% 33.44/22.06 tff(7501,plain,
% 33.44/22.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7502,plain,
% 33.44/22.06 ((v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0))) <=> (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7503,plain,
% 33.44/22.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38))))),
% 33.44/22.06 inference(monotonicity,[status(thm)],[7502])).
% 33.44/22.06 tff(7504,plain,
% 33.44/22.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 33.44/22.06 inference(transitivity,[status(thm)],[7503, 7501])).
% 33.44/22.06 tff(7505,plain,
% 33.44/22.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))),
% 33.44/22.06 inference(quant_inst,[status(thm)],[])).
% 33.44/22.06 tff(7506,plain,
% 33.44/22.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38))),
% 33.44/22.06 inference(modus_ponens,[status(thm)],[7505, 7504])).
% 33.44/22.06 tff(7507,plain,
% 33.44/22.06 (v90(constB38, bitIndex0)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7506, 885, 7413, 7500])).
% 33.44/22.06 tff(7508,plain,
% 33.44/22.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7509,plain,
% 33.44/22.06 (((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0)) <=> ((~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))),
% 33.44/22.06 inference(rewrite,[status(thm)],[])).
% 33.44/22.06 tff(7510,plain,
% 33.44/22.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0)))),
% 33.44/22.06 inference(monotonicity,[status(thm)],[7509])).
% 33.44/22.06 tff(7511,plain,
% 33.44/22.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))),
% 33.44/22.06 inference(transitivity,[status(thm)],[7510, 7508])).
% 33.44/22.06 tff(7512,plain,
% 33.44/22.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0))),
% 33.44/22.06 inference(quant_inst,[status(thm)],[])).
% 33.44/22.06 tff(7513,plain,
% 33.44/22.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0)),
% 33.44/22.06 inference(modus_ponens,[status(thm)],[7512, 7511])).
% 33.44/22.06 tff(7514,plain,
% 33.44/22.06 ((~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7513, 903, 7426])).
% 33.44/22.06 tff(7515,plain,
% 33.44/22.06 ((~v90(constB38, bitIndex0)) | v90(constB39, bitIndex0)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7514, 7438])).
% 33.44/22.06 tff(7516,plain,
% 33.44/22.06 (v90(constB39, bitIndex0)),
% 33.44/22.06 inference(unit_resolution,[status(thm)],[7515, 7507])).
% 33.44/22.06 tff(7517,plain,
% 33.44/22.06 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7518,plain,
% 33.44/22.07 (((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2)) <=> ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7519,plain,
% 33.44/22.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39)))),
% 33.44/22.07 inference(monotonicity,[status(thm)],[7518])).
% 33.44/22.07 tff(7520,plain,
% 33.44/22.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 33.44/22.07 inference(transitivity,[status(thm)],[7519, 7517])).
% 33.44/22.07 tff(7521,plain,
% 33.44/22.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7522,plain,
% 33.44/22.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39)),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7521, 7520])).
% 33.44/22.07 tff(7523,plain,
% 33.44/22.07 (v120(constB39)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7522, 922, 7516, 7483, 7447])).
% 33.44/22.07 tff(7524,plain,
% 33.44/22.07 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB39) | (~v120(constB39)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB39) | (~v120(constB39)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7525,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB39) | (~v120(constB39)))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7526,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB39) | (~v120(constB39))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7525, 7524])).
% 33.44/22.07 tff(7527,plain,
% 33.44/22.07 (v118(constB39)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7526, 936, 7523])).
% 33.44/22.07 tff(7528,plain,
% 33.44/22.07 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB39) | (~v118(constB39)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB39) | (~v118(constB39)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7529,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB39) | (~v118(constB39)))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7530,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB39) | (~v118(constB39))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7529, 7528])).
% 33.44/22.07 tff(7531,plain,
% 33.44/22.07 (v117(constB39)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7530, 498, 7527])).
% 33.44/22.07 tff(7532,plain,
% 33.44/22.07 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB39) | (~v117(constB39)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB39) | (~v117(constB39)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7533,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB39) | (~v117(constB39)))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7534,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB39) | (~v117(constB39))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7533, 7532])).
% 33.44/22.07 tff(7535,plain,
% 33.44/22.07 (v116(constB39)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7534, 509, 7531])).
% 33.44/22.07 tff(7536,plain,
% 33.44/22.07 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB39) | (~v116(constB39)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB39) | (~v116(constB39)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7537,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB39) | (~v116(constB39)))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7538,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB39) | (~v116(constB39))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7537, 7536])).
% 33.44/22.07 tff(7539,plain,
% 33.44/22.07 (v115(constB39)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7538, 520, 7535])).
% 33.44/22.07 tff(7540,plain,
% 33.44/22.07 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB39) | (~v115(constB39)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB39) | (~v115(constB39)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7541,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB39) | (~v115(constB39)))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7542,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB39) | (~v115(constB39))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7541, 7540])).
% 33.44/22.07 tff(7543,plain,
% 33.44/22.07 (v114(constB39)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7542, 531, 7539])).
% 33.44/22.07 tff(7544,plain,
% 33.44/22.07 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB39) | (~v114(constB39)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB39) | (~v114(constB39)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7545,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB39) | (~v114(constB39)))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7546,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB39) | (~v114(constB39))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7545, 7544])).
% 33.44/22.07 tff(7547,plain,
% 33.44/22.07 (v113(constB39)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7546, 542, 7543])).
% 33.44/22.07 tff(7548,assumption,(v26(constB39)), introduced(assumption)).
% 33.44/22.07 tff(7549,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB39))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7550,plain,
% 33.44/22.07 ($false),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7549, 120, 7548])).
% 33.44/22.07 tff(7551,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 33.44/22.07 tff(7552,plain,
% 33.44/22.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7553,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7554,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | (~v113(constB39)) | v112(constB39)),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7553, 7552])).
% 33.44/22.07 tff(7555,plain,
% 33.44/22.07 ((~v113(constB39)) | v112(constB39)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7554, 556, 7551])).
% 33.44/22.07 tff(7556,plain,
% 33.44/22.07 (v112(constB39)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7555, 7547])).
% 33.44/22.07 tff(7557,plain,
% 33.44/22.07 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB39) | (~v112(constB39)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB39) | (~v112(constB39)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7558,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB39) | (~v112(constB39)))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7559,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB39) | (~v112(constB39))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7558, 7557])).
% 33.44/22.07 tff(7560,plain,
% 33.44/22.07 (v108(constB39)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7559, 568, 7556])).
% 33.44/22.07 tff(7561,plain,
% 33.44/22.07 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7562,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 33.44/22.07 tff(7563,plain,
% 33.44/22.07 (nextState(constB39, constB40)),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7562, 7561])).
% 33.44/22.07 tff(7564,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7565,plain,
% 33.44/22.07 (((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40)) <=> ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7566,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))))),
% 33.44/22.07 inference(monotonicity,[status(thm)],[7565])).
% 33.44/22.07 tff(7567,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 33.44/22.07 inference(transitivity,[status(thm)],[7566, 7564])).
% 33.44/22.07 tff(7568,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7569,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7568, 7567])).
% 33.44/22.07 tff(7570,plain,
% 33.44/22.07 (v110(constB40) | (~v108(constB39))),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7569, 585, 7563])).
% 33.44/22.07 tff(7571,plain,
% 33.44/22.07 (v110(constB40)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7570, 7560])).
% 33.44/22.07 tff(7572,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7573,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7574,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7573, 7572])).
% 33.44/22.07 tff(7575,plain,
% 33.44/22.07 (~v104(constB40)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7574, 603, 7563, 7423])).
% 33.44/22.07 tff(7576,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7577,plain,
% 33.44/22.07 (((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40)) <=> ((~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7578,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v102(constB40)))),
% 33.44/22.07 inference(monotonicity,[status(thm)],[7577])).
% 33.44/22.07 tff(7579,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))),
% 33.44/22.07 inference(transitivity,[status(thm)],[7578, 7576])).
% 33.44/22.07 tff(7580,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7581,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | v102(constB40)),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7580, 7579])).
% 33.44/22.07 tff(7582,plain,
% 33.44/22.07 (v104(constB40) | v102(constB40)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7581, 617, 7563])).
% 33.44/22.07 tff(7583,plain,
% 33.44/22.07 (v102(constB40)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7582, 7575])).
% 33.44/22.07 tff(7584,plain,
% 33.44/22.07 (v1(constB40) <=> v1(constB40)),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7585,axiom,(v1(constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 33.44/22.07 tff(7586,plain,
% 33.44/22.07 (v1(constB40)),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7585, 7584])).
% 33.44/22.07 tff(7587,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7588,plain,
% 33.44/22.07 (((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40))) <=> ((~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7589,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40))))),
% 33.44/22.07 inference(monotonicity,[status(thm)],[7588])).
% 33.44/22.07 tff(7590,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))),
% 33.44/22.07 inference(transitivity,[status(thm)],[7589, 7587])).
% 33.44/22.07 tff(7591,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7592,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7591, 7590])).
% 33.44/22.07 tff(7593,plain,
% 33.44/22.07 (v101(constB40) | (~v102(constB40))),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7592, 638, 7563, 7586])).
% 33.44/22.07 tff(7594,plain,
% 33.44/22.07 (v101(constB40)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7593, 7583])).
% 33.44/22.07 tff(7595,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7596,plain,
% 33.44/22.07 (((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40)) <=> ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7597,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))))),
% 33.44/22.07 inference(monotonicity,[status(thm)],[7596])).
% 33.44/22.07 tff(7598,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 33.44/22.07 inference(transitivity,[status(thm)],[7597, 7595])).
% 33.44/22.07 tff(7599,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7600,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7599, 7598])).
% 33.44/22.07 tff(7601,plain,
% 33.44/22.07 (v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7600, 656, 7563])).
% 33.44/22.07 tff(7602,plain,
% 33.44/22.07 (v100(constB40) | (~v110(constB40))),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7601, 7594])).
% 33.44/22.07 tff(7603,plain,
% 33.44/22.07 (v100(constB40)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7602, 7571])).
% 33.44/22.07 tff(7604,plain,
% 33.44/22.07 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB39)) | (~v130(constB39, bitIndex2)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7605,plain,
% 33.44/22.07 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex2)))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7606,plain,
% 33.44/22.07 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB39)) | (~v130(constB39, bitIndex2))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7605, 7604])).
% 33.44/22.07 tff(7607,plain,
% 33.44/22.07 (~v130(constB39, bitIndex2)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7606, 1025, 7523])).
% 33.44/22.07 tff(7608,plain,
% 33.44/22.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7609,plain,
% 33.44/22.07 ((v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2))) <=> ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7610,plain,
% 33.44/22.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)))),
% 33.44/22.07 inference(monotonicity,[status(thm)],[7609])).
% 33.44/22.07 tff(7611,plain,
% 33.44/22.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 33.44/22.07 inference(transitivity,[status(thm)],[7610, 7608])).
% 33.44/22.07 tff(7612,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7613,plain,
% 33.44/22.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7612, 7611])).
% 33.44/22.07 tff(7614,plain,
% 33.44/22.07 ((~v127(constB39, bitIndex2)) | v130(constB39, bitIndex2)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7613, 689, 7551])).
% 33.44/22.07 tff(7615,plain,
% 33.44/22.07 (~v127(constB39, bitIndex2)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7614, 7607])).
% 33.44/22.07 tff(7616,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7617,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7618,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7617, 7616])).
% 33.44/22.07 tff(7619,plain,
% 33.44/22.07 (v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7618, 707, 7563])).
% 33.44/22.07 tff(7620,plain,
% 33.44/22.07 (~v129(constB40, bitIndex2)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7619, 7615])).
% 33.44/22.07 tff(7621,plain,
% 33.44/22.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7622,plain,
% 33.44/22.07 (((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2)) <=> ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7623,plain,
% 33.44/22.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40))))),
% 33.44/22.07 inference(monotonicity,[status(thm)],[7622])).
% 33.44/22.07 tff(7624,plain,
% 33.44/22.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 33.44/22.07 inference(transitivity,[status(thm)],[7623, 7621])).
% 33.44/22.07 tff(7625,plain,
% 33.44/22.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7626,plain,
% 33.44/22.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7625, 7624])).
% 33.44/22.07 tff(7627,plain,
% 33.44/22.07 ((~v90(constB40, bitIndex2)) | (~v100(constB40))),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7626, 722, 7620])).
% 33.44/22.07 tff(7628,plain,
% 33.44/22.07 (~v90(constB40, bitIndex2)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7627, 7603])).
% 33.44/22.07 tff(7629,plain,
% 33.44/22.07 ((~v1(constB41)) <=> (~v1(constB41))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7630,axiom,(~v1(constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 33.44/22.07 tff(7631,plain,
% 33.44/22.07 (~v1(constB41)),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7630, 7629])).
% 33.44/22.07 tff(7632,plain,
% 33.44/22.07 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7633,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 33.44/22.07 tff(7634,plain,
% 33.44/22.07 (nextState(constB40, constB41)),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7633, 7632])).
% 33.44/22.07 tff(7635,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7636,plain,
% 33.44/22.07 (((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7637,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))))),
% 33.44/22.07 inference(monotonicity,[status(thm)],[7636])).
% 33.44/22.07 tff(7638,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 33.44/22.07 inference(transitivity,[status(thm)],[7637, 7635])).
% 33.44/22.07 tff(7639,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7640,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7639, 7638])).
% 33.44/22.07 tff(7641,plain,
% 33.44/22.07 (~v101(constB41)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7640, 381, 7634, 7631])).
% 33.44/22.07 tff(7642,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7643,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7644,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7643, 7642])).
% 33.44/22.07 tff(7645,plain,
% 33.44/22.07 (v101(constB41) | (~v100(constB41))),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7644, 398, 7634])).
% 33.44/22.07 tff(7646,plain,
% 33.44/22.07 (~v100(constB41)),
% 33.44/22.07 inference(unit_resolution,[status(thm)],[7645, 7641])).
% 33.44/22.07 tff(7647,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7648,plain,
% 33.44/22.07 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))) <=> (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 33.44/22.07 inference(rewrite,[status(thm)],[])).
% 33.44/22.07 tff(7649,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2))))),
% 33.44/22.07 inference(monotonicity,[status(thm)],[7648])).
% 33.44/22.07 tff(7650,plain,
% 33.44/22.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 33.44/22.07 inference(transitivity,[status(thm)],[7649, 7647])).
% 33.44/22.07 tff(7651,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 33.44/22.07 inference(quant_inst,[status(thm)],[])).
% 33.44/22.07 tff(7652,plain,
% 33.44/22.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 33.44/22.07 inference(modus_ponens,[status(thm)],[7651, 7650])).
% 33.44/22.07 tff(7653,plain,
% 33.44/22.07 (v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7652, 413, 7634])).
% 33.44/22.08 tff(7654,plain,
% 33.44/22.08 (v90(constB40, bitIndex2) | (~v90(constB41, bitIndex2))),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7653, 7646])).
% 33.44/22.08 tff(7655,plain,
% 33.44/22.08 (~v90(constB41, bitIndex2)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7654, 7628])).
% 33.44/22.08 tff(7656,plain,
% 33.44/22.08 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB39)) | v130(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB39)) | v130(constB39, bitIndex1))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7657,plain,
% 33.44/22.08 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB39)) | v130(constB39, bitIndex1))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.44/22.08 tff(7658,plain,
% 33.44/22.08 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB39)) | v130(constB39, bitIndex1)),
% 33.44/22.08 inference(modus_ponens,[status(thm)],[7657, 7656])).
% 33.44/22.08 tff(7659,plain,
% 33.44/22.08 (v130(constB39, bitIndex1)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7658, 1087, 7523])).
% 33.44/22.08 tff(7660,plain,
% 33.44/22.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7661,plain,
% 33.44/22.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.44/22.08 tff(7662,plain,
% 33.44/22.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 33.44/22.08 inference(modus_ponens,[status(thm)],[7661, 7660])).
% 33.44/22.08 tff(7663,plain,
% 33.44/22.08 ((~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7662, 1101, 7551])).
% 33.44/22.08 tff(7664,plain,
% 33.44/22.08 (v127(constB39, bitIndex1)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7663, 7659])).
% 33.44/22.08 tff(7665,plain,
% 33.44/22.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7666,plain,
% 33.44/22.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.44/22.08 tff(7667,plain,
% 33.44/22.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 33.44/22.08 inference(modus_ponens,[status(thm)],[7666, 7665])).
% 33.44/22.08 tff(7668,plain,
% 33.44/22.08 ((~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7667, 1116, 7563])).
% 33.44/22.08 tff(7669,plain,
% 33.44/22.08 (v129(constB40, bitIndex1)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7668, 7664])).
% 33.44/22.08 tff(7670,plain,
% 33.44/22.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7671,plain,
% 33.44/22.08 ((v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1))) <=> (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7672,plain,
% 33.44/22.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))))),
% 33.44/22.08 inference(monotonicity,[status(thm)],[7671])).
% 33.44/22.08 tff(7673,plain,
% 33.44/22.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 33.44/22.08 inference(transitivity,[status(thm)],[7672, 7670])).
% 33.44/22.08 tff(7674,plain,
% 33.44/22.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.44/22.08 tff(7675,plain,
% 33.44/22.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))),
% 33.44/22.08 inference(modus_ponens,[status(thm)],[7674, 7673])).
% 33.44/22.08 tff(7676,plain,
% 33.44/22.08 (v90(constB40, bitIndex1) | (~v100(constB40))),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7675, 1131, 7669])).
% 33.44/22.08 tff(7677,plain,
% 33.44/22.08 (v90(constB40, bitIndex1)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7676, 7603])).
% 33.44/22.08 tff(7678,plain,
% 33.44/22.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7679,plain,
% 33.44/22.08 (((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)) <=> ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7680,plain,
% 33.44/22.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1)))),
% 33.44/22.08 inference(monotonicity,[status(thm)],[7679])).
% 33.44/22.08 tff(7681,plain,
% 33.44/22.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 33.44/22.08 inference(transitivity,[status(thm)],[7680, 7678])).
% 33.44/22.08 tff(7682,plain,
% 33.44/22.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.44/22.08 tff(7683,plain,
% 33.44/22.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1)),
% 33.44/22.08 inference(modus_ponens,[status(thm)],[7682, 7681])).
% 33.44/22.08 tff(7684,plain,
% 33.44/22.08 ((~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7683, 1149, 7634])).
% 33.44/22.08 tff(7685,plain,
% 33.44/22.08 ((~v90(constB40, bitIndex1)) | v90(constB41, bitIndex1)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7684, 7646])).
% 33.44/22.08 tff(7686,plain,
% 33.44/22.08 (v90(constB41, bitIndex1)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7685, 7677])).
% 33.44/22.08 tff(7687,plain,
% 33.44/22.08 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB39)) | (~v130(constB39, bitIndex0)))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7688,plain,
% 33.44/22.08 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex0)))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.44/22.08 tff(7689,plain,
% 33.44/22.08 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB39)) | (~v130(constB39, bitIndex0))),
% 33.44/22.08 inference(modus_ponens,[status(thm)],[7688, 7687])).
% 33.44/22.08 tff(7690,plain,
% 33.44/22.08 (~v130(constB39, bitIndex0)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7689, 1168, 7523])).
% 33.44/22.08 tff(7691,assumption,(v127(constB39, bitIndex0)), introduced(assumption)).
% 33.44/22.08 tff(7692,assumption,(~v130(constB39, bitIndex0)), introduced(assumption)).
% 33.44/22.08 tff(7693,plain,
% 33.44/22.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7694,plain,
% 33.44/22.08 ((v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0))) <=> ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7695,plain,
% 33.44/22.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0)))),
% 33.44/22.08 inference(monotonicity,[status(thm)],[7694])).
% 33.44/22.08 tff(7696,plain,
% 33.44/22.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 33.44/22.08 inference(transitivity,[status(thm)],[7695, 7693])).
% 33.44/22.08 tff(7697,plain,
% 33.44/22.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.44/22.08 tff(7698,plain,
% 33.44/22.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0)),
% 33.44/22.08 inference(modus_ponens,[status(thm)],[7697, 7696])).
% 33.44/22.08 tff(7699,plain,
% 33.44/22.08 ((~v127(constB39, bitIndex0)) | v26(constB39)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7698, 1182, 7692])).
% 33.44/22.08 tff(7700,plain,
% 33.44/22.08 (v26(constB39)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7699, 7691])).
% 33.44/22.08 tff(7701,plain,
% 33.44/22.08 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB39)) | (~v127(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB39)) | (~v127(constB39, bitIndex0)))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7702,plain,
% 33.44/22.08 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB39)) | (~v127(constB39, bitIndex0)))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.44/22.08 tff(7703,plain,
% 33.44/22.08 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB39)) | (~v127(constB39, bitIndex0))),
% 33.44/22.08 inference(modus_ponens,[status(thm)],[7702, 7701])).
% 33.44/22.08 tff(7704,plain,
% 33.44/22.08 ($false),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7703, 3012, 7691, 7700])).
% 33.44/22.08 tff(7705,plain,((~v127(constB39, bitIndex0)) | v130(constB39, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 33.44/22.08 tff(7706,plain,
% 33.44/22.08 (~v127(constB39, bitIndex0)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7705, 7690])).
% 33.44/22.08 tff(7707,plain,
% 33.44/22.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7708,plain,
% 33.44/22.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.44/22.08 tff(7709,plain,
% 33.44/22.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0))),
% 33.44/22.08 inference(modus_ponens,[status(thm)],[7708, 7707])).
% 33.44/22.08 tff(7710,plain,
% 33.44/22.08 (v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0))),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7709, 1200, 7563])).
% 33.44/22.08 tff(7711,plain,
% 33.44/22.08 (~v129(constB40, bitIndex0)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7710, 7706])).
% 33.44/22.08 tff(7712,plain,
% 33.44/22.08 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7713,plain,
% 33.44/22.08 (((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0)) <=> ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7714,plain,
% 33.44/22.08 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40))))),
% 33.44/22.08 inference(monotonicity,[status(thm)],[7713])).
% 33.44/22.08 tff(7715,plain,
% 33.44/22.08 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 33.44/22.08 inference(transitivity,[status(thm)],[7714, 7712])).
% 33.44/22.08 tff(7716,plain,
% 33.44/22.08 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.44/22.08 tff(7717,plain,
% 33.44/22.08 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40))),
% 33.44/22.08 inference(modus_ponens,[status(thm)],[7716, 7715])).
% 33.44/22.08 tff(7718,plain,
% 33.44/22.08 ((~v90(constB40, bitIndex0)) | (~v100(constB40))),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7717, 1215, 7711])).
% 33.44/22.08 tff(7719,plain,
% 33.44/22.08 (~v90(constB40, bitIndex0)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7718, 7603])).
% 33.44/22.08 tff(7720,plain,
% 33.44/22.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7721,plain,
% 33.44/22.08 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0))) <=> (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7722,plain,
% 33.44/22.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0))))),
% 33.44/22.08 inference(monotonicity,[status(thm)],[7721])).
% 33.44/22.08 tff(7723,plain,
% 33.44/22.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 33.44/22.08 inference(transitivity,[status(thm)],[7722, 7720])).
% 33.44/22.08 tff(7724,plain,
% 33.44/22.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.44/22.08 tff(7725,plain,
% 33.44/22.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0))),
% 33.44/22.08 inference(modus_ponens,[status(thm)],[7724, 7723])).
% 33.44/22.08 tff(7726,plain,
% 33.44/22.08 (v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0))),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7725, 455, 7634])).
% 33.44/22.08 tff(7727,plain,
% 33.44/22.08 (v90(constB40, bitIndex0) | (~v90(constB41, bitIndex0))),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7726, 7646])).
% 33.44/22.08 tff(7728,plain,
% 33.44/22.08 (~v90(constB41, bitIndex0)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7727, 7719])).
% 33.44/22.08 tff(7729,plain,
% 33.44/22.08 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7730,plain,
% 33.44/22.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.44/22.08 tff(7731,plain,
% 33.44/22.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41)),
% 33.44/22.08 inference(modus_ponens,[status(thm)],[7730, 7729])).
% 33.44/22.08 tff(7732,plain,
% 33.44/22.08 (v121(constB41)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7731, 1242, 7728, 7686, 7655])).
% 33.44/22.08 tff(7733,plain,
% 33.44/22.08 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB41) | (~v121(constB41)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB41) | (~v121(constB41)))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7734,plain,
% 33.44/22.08 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB41) | (~v121(constB41)))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.44/22.08 tff(7735,plain,
% 33.44/22.08 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB41) | (~v121(constB41))),
% 33.44/22.08 inference(modus_ponens,[status(thm)],[7734, 7733])).
% 33.44/22.08 tff(7736,plain,
% 33.44/22.08 (v117(constB41)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7735, 1253, 7732])).
% 33.44/22.08 tff(7737,plain,
% 33.44/22.08 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB41) | (~v117(constB41)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB41) | (~v117(constB41)))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7738,plain,
% 33.44/22.08 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB41) | (~v117(constB41)))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.44/22.08 tff(7739,plain,
% 33.44/22.08 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB41) | (~v117(constB41))),
% 33.44/22.08 inference(modus_ponens,[status(thm)],[7738, 7737])).
% 33.44/22.08 tff(7740,plain,
% 33.44/22.08 (v116(constB41)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7739, 509, 7736])).
% 33.44/22.08 tff(7741,plain,
% 33.44/22.08 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB41) | (~v116(constB41)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB41) | (~v116(constB41)))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7742,plain,
% 33.44/22.08 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB41) | (~v116(constB41)))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.44/22.08 tff(7743,plain,
% 33.44/22.08 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB41) | (~v116(constB41))),
% 33.44/22.08 inference(modus_ponens,[status(thm)],[7742, 7741])).
% 33.44/22.08 tff(7744,plain,
% 33.44/22.08 (v115(constB41)),
% 33.44/22.08 inference(unit_resolution,[status(thm)],[7743, 520, 7740])).
% 33.44/22.08 tff(7745,plain,
% 33.44/22.08 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB41) | (~v115(constB41)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB41) | (~v115(constB41)))),
% 33.44/22.08 inference(rewrite,[status(thm)],[])).
% 33.44/22.08 tff(7746,plain,
% 33.44/22.08 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB41) | (~v115(constB41)))),
% 33.44/22.08 inference(quant_inst,[status(thm)],[])).
% 33.49/22.08 tff(7747,plain,
% 33.49/22.08 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB41) | (~v115(constB41))),
% 33.49/22.08 inference(modus_ponens,[status(thm)],[7746, 7745])).
% 33.49/22.08 tff(7748,plain,
% 33.49/22.08 (v114(constB41)),
% 33.49/22.08 inference(unit_resolution,[status(thm)],[7747, 531, 7744])).
% 33.49/22.08 tff(7749,plain,
% 33.49/22.08 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB41) | (~v114(constB41)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB41) | (~v114(constB41)))),
% 33.49/22.08 inference(rewrite,[status(thm)],[])).
% 33.49/22.08 tff(7750,plain,
% 33.49/22.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB41) | (~v114(constB41)))),
% 33.49/22.08 inference(quant_inst,[status(thm)],[])).
% 33.49/22.08 tff(7751,plain,
% 33.49/22.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB41) | (~v114(constB41))),
% 33.49/22.08 inference(modus_ponens,[status(thm)],[7750, 7749])).
% 33.49/22.08 tff(7752,plain,
% 33.49/22.08 (v113(constB41)),
% 33.49/22.08 inference(unit_resolution,[status(thm)],[7751, 542, 7748])).
% 33.49/22.08 tff(7753,assumption,(v26(constB41)), introduced(assumption)).
% 33.49/22.08 tff(7754,plain,
% 33.49/22.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB41))),
% 33.49/22.08 inference(quant_inst,[status(thm)],[])).
% 33.49/22.08 tff(7755,plain,
% 33.49/22.08 ($false),
% 33.49/22.08 inference(unit_resolution,[status(thm)],[7754, 120, 7753])).
% 33.49/22.08 tff(7756,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 33.49/22.08 tff(7757,plain,
% 33.49/22.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 33.49/22.08 inference(rewrite,[status(thm)],[])).
% 33.49/22.08 tff(7758,plain,
% 33.49/22.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 33.49/22.08 inference(quant_inst,[status(thm)],[])).
% 33.49/22.08 tff(7759,plain,
% 33.49/22.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41)),
% 33.49/22.08 inference(modus_ponens,[status(thm)],[7758, 7757])).
% 33.49/22.08 tff(7760,plain,
% 33.49/22.08 ((~v113(constB41)) | v112(constB41)),
% 33.49/22.08 inference(unit_resolution,[status(thm)],[7759, 556, 7756])).
% 33.49/22.08 tff(7761,plain,
% 33.49/22.08 (v112(constB41)),
% 33.49/22.08 inference(unit_resolution,[status(thm)],[7760, 7752])).
% 33.49/22.08 tff(7762,plain,
% 33.49/22.08 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB41) | (~v112(constB41)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB41) | (~v112(constB41)))),
% 33.49/22.08 inference(rewrite,[status(thm)],[])).
% 33.49/22.08 tff(7763,plain,
% 33.49/22.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB41) | (~v112(constB41)))),
% 33.49/22.08 inference(quant_inst,[status(thm)],[])).
% 33.49/22.08 tff(7764,plain,
% 33.49/22.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB41) | (~v112(constB41))),
% 33.49/22.08 inference(modus_ponens,[status(thm)],[7763, 7762])).
% 33.49/22.08 tff(7765,plain,
% 33.49/22.08 (v108(constB41)),
% 33.49/22.08 inference(unit_resolution,[status(thm)],[7764, 568, 7761])).
% 33.49/22.08 tff(7766,plain,
% 33.49/22.08 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 33.49/22.08 inference(rewrite,[status(thm)],[])).
% 33.49/22.08 tff(7767,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 33.49/22.08 tff(7768,plain,
% 33.49/22.08 (nextState(constB41, constB42)),
% 33.49/22.08 inference(modus_ponens,[status(thm)],[7767, 7766])).
% 33.49/22.08 tff(7769,plain,
% 33.49/22.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 33.49/22.08 inference(rewrite,[status(thm)],[])).
% 33.49/22.08 tff(7770,plain,
% 33.49/22.08 (((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42)) <=> ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 33.49/22.08 inference(rewrite,[status(thm)],[])).
% 33.49/22.08 tff(7771,plain,
% 33.49/22.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))))),
% 33.49/22.08 inference(monotonicity,[status(thm)],[7770])).
% 33.49/22.08 tff(7772,plain,
% 33.49/22.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 33.49/22.08 inference(transitivity,[status(thm)],[7771, 7769])).
% 33.49/22.08 tff(7773,plain,
% 33.49/22.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))),
% 33.49/22.08 inference(quant_inst,[status(thm)],[])).
% 33.49/22.08 tff(7774,plain,
% 33.49/22.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))),
% 33.49/22.08 inference(modus_ponens,[status(thm)],[7773, 7772])).
% 33.49/22.08 tff(7775,plain,
% 33.49/22.08 (v110(constB42) | (~v108(constB41))),
% 33.49/22.08 inference(unit_resolution,[status(thm)],[7774, 585, 7768])).
% 33.49/22.08 tff(7776,plain,
% 33.49/22.08 (v110(constB42)),
% 33.49/22.08 inference(unit_resolution,[status(thm)],[7775, 7765])).
% 33.49/22.08 tff(7777,plain,
% 33.49/22.08 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 33.49/22.08 inference(rewrite,[status(thm)],[])).
% 33.49/22.08 tff(7778,plain,
% 33.49/22.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 33.49/22.08 inference(quant_inst,[status(thm)],[])).
% 33.49/22.08 tff(7779,plain,
% 33.49/22.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42))),
% 33.49/22.08 inference(modus_ponens,[status(thm)],[7778, 7777])).
% 33.49/22.08 tff(7780,plain,
% 33.49/22.08 (~v104(constB42)),
% 33.49/22.08 inference(unit_resolution,[status(thm)],[7779, 603, 7768, 7631])).
% 33.49/22.08 tff(7781,plain,
% 33.49/22.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))),
% 33.49/22.08 inference(rewrite,[status(thm)],[])).
% 33.49/22.08 tff(7782,plain,
% 33.49/22.08 (((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42)) <=> ((~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))),
% 33.49/22.08 inference(rewrite,[status(thm)],[])).
% 33.49/22.08 tff(7783,plain,
% 33.49/22.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v102(constB42)))),
% 33.49/22.08 inference(monotonicity,[status(thm)],[7782])).
% 33.49/22.08 tff(7784,plain,
% 33.49/22.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))),
% 33.49/22.08 inference(transitivity,[status(thm)],[7783, 7781])).
% 33.49/22.08 tff(7785,plain,
% 33.49/22.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 33.49/22.08 inference(quant_inst,[status(thm)],[])).
% 33.49/22.08 tff(7786,plain,
% 33.49/22.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | v102(constB42)),
% 33.49/22.08 inference(modus_ponens,[status(thm)],[7785, 7784])).
% 33.49/22.08 tff(7787,plain,
% 33.49/22.08 (v104(constB42) | v102(constB42)),
% 33.49/22.08 inference(unit_resolution,[status(thm)],[7786, 617, 7768])).
% 33.49/22.08 tff(7788,plain,
% 33.49/22.08 (v102(constB42)),
% 33.49/22.08 inference(unit_resolution,[status(thm)],[7787, 7780])).
% 33.49/22.08 tff(7789,plain,
% 33.49/22.08 (v1(constB42) <=> v1(constB42)),
% 33.49/22.08 inference(rewrite,[status(thm)],[])).
% 33.49/22.08 tff(7790,axiom,(v1(constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 33.49/22.08 tff(7791,plain,
% 33.49/22.08 (v1(constB42)),
% 33.49/22.08 inference(modus_ponens,[status(thm)],[7790, 7789])).
% 33.49/22.08 tff(7792,plain,
% 33.49/22.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7793,plain,
% 33.49/22.09 (((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42))) <=> ((~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7794,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42))))),
% 33.49/22.09 inference(monotonicity,[status(thm)],[7793])).
% 33.49/22.09 tff(7795,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))),
% 33.49/22.09 inference(transitivity,[status(thm)],[7794, 7792])).
% 33.49/22.09 tff(7796,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.09 tff(7797,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42))),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7796, 7795])).
% 33.49/22.09 tff(7798,plain,
% 33.49/22.09 (v101(constB42) | (~v102(constB42))),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7797, 638, 7768, 7791])).
% 33.49/22.09 tff(7799,plain,
% 33.49/22.09 (v101(constB42)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7798, 7788])).
% 33.49/22.09 tff(7800,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7801,plain,
% 33.49/22.09 (((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42)) <=> ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7802,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))))),
% 33.49/22.09 inference(monotonicity,[status(thm)],[7801])).
% 33.49/22.09 tff(7803,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 33.49/22.09 inference(transitivity,[status(thm)],[7802, 7800])).
% 33.49/22.09 tff(7804,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.09 tff(7805,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7804, 7803])).
% 33.49/22.09 tff(7806,plain,
% 33.49/22.09 (v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7805, 656, 7768])).
% 33.49/22.09 tff(7807,plain,
% 33.49/22.09 (v100(constB42) | (~v110(constB42))),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7806, 7799])).
% 33.49/22.09 tff(7808,plain,
% 33.49/22.09 (v100(constB42)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7807, 7776])).
% 33.49/22.09 tff(7809,plain,
% 33.49/22.09 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB41)) | (~v130(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB41)) | (~v130(constB41, bitIndex2)))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7810,plain,
% 33.49/22.09 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB41)) | (~v130(constB41, bitIndex2)))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.09 tff(7811,plain,
% 33.49/22.09 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB41)) | (~v130(constB41, bitIndex2))),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7810, 7809])).
% 33.49/22.09 tff(7812,plain,
% 33.49/22.09 (~v130(constB41, bitIndex2)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7811, 1342, 7732])).
% 33.49/22.09 tff(7813,plain,
% 33.49/22.09 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7814,plain,
% 33.49/22.09 ((v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2))) <=> ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7815,plain,
% 33.49/22.09 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2)))),
% 33.49/22.09 inference(monotonicity,[status(thm)],[7814])).
% 33.49/22.09 tff(7816,plain,
% 33.49/22.09 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 33.49/22.09 inference(transitivity,[status(thm)],[7815, 7813])).
% 33.49/22.09 tff(7817,plain,
% 33.49/22.09 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.09 tff(7818,plain,
% 33.49/22.09 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2)),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7817, 7816])).
% 33.49/22.09 tff(7819,plain,
% 33.49/22.09 ((~v127(constB41, bitIndex2)) | v130(constB41, bitIndex2)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7818, 689, 7756])).
% 33.49/22.09 tff(7820,plain,
% 33.49/22.09 (~v127(constB41, bitIndex2)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7819, 7812])).
% 33.49/22.09 tff(7821,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7822,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.09 tff(7823,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2))),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7822, 7821])).
% 33.49/22.09 tff(7824,plain,
% 33.49/22.09 (v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2))),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7823, 707, 7768])).
% 33.49/22.09 tff(7825,plain,
% 33.49/22.09 (~v129(constB42, bitIndex2)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7824, 7820])).
% 33.49/22.09 tff(7826,plain,
% 33.49/22.09 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7827,plain,
% 33.49/22.09 (((~v90(constB42, bitIndex2)) | (~v100(constB42)) | v129(constB42, bitIndex2)) <=> ((~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7828,plain,
% 33.49/22.09 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~v100(constB42)) | v129(constB42, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42))))),
% 33.49/22.09 inference(monotonicity,[status(thm)],[7827])).
% 33.49/22.09 tff(7829,plain,
% 33.49/22.09 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~v100(constB42)) | v129(constB42, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))),
% 33.49/22.09 inference(transitivity,[status(thm)],[7828, 7826])).
% 33.49/22.09 tff(7830,plain,
% 33.49/22.09 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~v100(constB42)) | v129(constB42, bitIndex2))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.09 tff(7831,plain,
% 33.49/22.09 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42))),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7830, 7829])).
% 33.49/22.09 tff(7832,plain,
% 33.49/22.09 ((~v90(constB42, bitIndex2)) | (~v100(constB42))),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7831, 722, 7825])).
% 33.49/22.09 tff(7833,plain,
% 33.49/22.09 (~v90(constB42, bitIndex2)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7832, 7808])).
% 33.49/22.09 tff(7834,plain,
% 33.49/22.09 ((~v1(constB43)) <=> (~v1(constB43))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7835,axiom,(~v1(constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 33.49/22.09 tff(7836,plain,
% 33.49/22.09 (~v1(constB43)),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7835, 7834])).
% 33.49/22.09 tff(7837,plain,
% 33.49/22.09 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7838,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 33.49/22.09 tff(7839,plain,
% 33.49/22.09 (nextState(constB42, constB43)),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7838, 7837])).
% 33.49/22.09 tff(7840,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7841,plain,
% 33.49/22.09 (((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7842,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))))),
% 33.49/22.09 inference(monotonicity,[status(thm)],[7841])).
% 33.49/22.09 tff(7843,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 33.49/22.09 inference(transitivity,[status(thm)],[7842, 7840])).
% 33.49/22.09 tff(7844,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.09 tff(7845,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7844, 7843])).
% 33.49/22.09 tff(7846,plain,
% 33.49/22.09 (~v101(constB43)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7845, 381, 7839, 7836])).
% 33.49/22.09 tff(7847,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7848,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.09 tff(7849,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43))),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7848, 7847])).
% 33.49/22.09 tff(7850,plain,
% 33.49/22.09 (v101(constB43) | (~v100(constB43))),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7849, 398, 7839])).
% 33.49/22.09 tff(7851,plain,
% 33.49/22.09 (~v100(constB43)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7850, 7846])).
% 33.49/22.09 tff(7852,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7853,plain,
% 33.49/22.09 (((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2))) <=> (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7854,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2))))),
% 33.49/22.09 inference(monotonicity,[status(thm)],[7853])).
% 33.49/22.09 tff(7855,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 33.49/22.09 inference(transitivity,[status(thm)],[7854, 7852])).
% 33.49/22.09 tff(7856,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.09 tff(7857,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2))),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7856, 7855])).
% 33.49/22.09 tff(7858,plain,
% 33.49/22.09 (v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2))),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7857, 413, 7839])).
% 33.49/22.09 tff(7859,plain,
% 33.49/22.09 (v90(constB42, bitIndex2) | (~v90(constB43, bitIndex2))),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7858, 7851])).
% 33.49/22.09 tff(7860,plain,
% 33.49/22.09 (~v90(constB43, bitIndex2)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7859, 7833])).
% 33.49/22.09 tff(7861,plain,
% 33.49/22.09 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB41)) | v130(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB41)) | v130(constB41, bitIndex1))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7862,plain,
% 33.49/22.09 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB41)) | v130(constB41, bitIndex1))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.09 tff(7863,plain,
% 33.49/22.09 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB41)) | v130(constB41, bitIndex1)),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7862, 7861])).
% 33.49/22.09 tff(7864,plain,
% 33.49/22.09 (v130(constB41, bitIndex1)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7863, 1404, 7732])).
% 33.49/22.09 tff(7865,plain,
% 33.49/22.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7866,plain,
% 33.49/22.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.09 tff(7867,plain,
% 33.49/22.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1)),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7866, 7865])).
% 33.49/22.09 tff(7868,plain,
% 33.49/22.09 ((~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7867, 1101, 7756])).
% 33.49/22.09 tff(7869,plain,
% 33.49/22.09 (v127(constB41, bitIndex1)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7868, 7864])).
% 33.49/22.09 tff(7870,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7871,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.09 tff(7872,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1)),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7871, 7870])).
% 33.49/22.09 tff(7873,plain,
% 33.49/22.09 ((~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7872, 1116, 7768])).
% 33.49/22.09 tff(7874,plain,
% 33.49/22.09 (v129(constB42, bitIndex1)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7873, 7869])).
% 33.49/22.09 tff(7875,plain,
% 33.49/22.09 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7876,plain,
% 33.49/22.09 ((v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1))) <=> (v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7877,plain,
% 33.49/22.09 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42))))),
% 33.49/22.09 inference(monotonicity,[status(thm)],[7876])).
% 33.49/22.09 tff(7878,plain,
% 33.49/22.09 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))),
% 33.49/22.09 inference(transitivity,[status(thm)],[7877, 7875])).
% 33.49/22.09 tff(7879,plain,
% 33.49/22.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1)))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.09 tff(7880,plain,
% 33.49/22.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42))),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7879, 7878])).
% 33.49/22.09 tff(7881,plain,
% 33.49/22.09 (v90(constB42, bitIndex1) | (~v100(constB42))),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7880, 1131, 7874])).
% 33.49/22.09 tff(7882,plain,
% 33.49/22.09 (v90(constB42, bitIndex1)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7881, 7808])).
% 33.49/22.09 tff(7883,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7884,plain,
% 33.49/22.09 (((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1)) <=> ((~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7885,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1)))),
% 33.49/22.09 inference(monotonicity,[status(thm)],[7884])).
% 33.49/22.09 tff(7886,plain,
% 33.49/22.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))),
% 33.49/22.09 inference(transitivity,[status(thm)],[7885, 7883])).
% 33.49/22.09 tff(7887,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.09 tff(7888,plain,
% 33.49/22.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1)),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7887, 7886])).
% 33.49/22.09 tff(7889,plain,
% 33.49/22.09 ((~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7888, 1149, 7839])).
% 33.49/22.09 tff(7890,plain,
% 33.49/22.09 ((~v90(constB42, bitIndex1)) | v90(constB43, bitIndex1)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7889, 7851])).
% 33.49/22.09 tff(7891,plain,
% 33.49/22.09 (v90(constB43, bitIndex1)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7890, 7882])).
% 33.49/22.09 tff(7892,plain,
% 33.49/22.09 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB41)) | v130(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB41)) | v130(constB41, bitIndex0))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7893,plain,
% 33.49/22.09 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB41)) | v130(constB41, bitIndex0))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.09 tff(7894,plain,
% 33.49/22.09 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB41)) | v130(constB41, bitIndex0)),
% 33.49/22.09 inference(modus_ponens,[status(thm)],[7893, 7892])).
% 33.49/22.09 tff(7895,plain,
% 33.49/22.09 (v130(constB41, bitIndex0)),
% 33.49/22.09 inference(unit_resolution,[status(thm)],[7894, 1445, 7732])).
% 33.49/22.09 tff(7896,plain,
% 33.49/22.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0))),
% 33.49/22.09 inference(rewrite,[status(thm)],[])).
% 33.49/22.09 tff(7897,plain,
% 33.49/22.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0))),
% 33.49/22.09 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7898,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0)),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7897, 7896])).
% 33.49/22.10 tff(7899,plain,
% 33.49/22.10 ((~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7898, 855, 7756])).
% 33.49/22.10 tff(7900,plain,
% 33.49/22.10 (v127(constB41, bitIndex0)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7899, 7895])).
% 33.49/22.10 tff(7901,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7902,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7903,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0)),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7902, 7901])).
% 33.49/22.10 tff(7904,plain,
% 33.49/22.10 ((~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7903, 870, 7768])).
% 33.49/22.10 tff(7905,plain,
% 33.49/22.10 (v129(constB42, bitIndex0)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7904, 7900])).
% 33.49/22.10 tff(7906,plain,
% 33.49/22.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7907,plain,
% 33.49/22.10 ((v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0))) <=> (v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7908,plain,
% 33.49/22.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42))))),
% 33.49/22.10 inference(monotonicity,[status(thm)],[7907])).
% 33.49/22.10 tff(7909,plain,
% 33.49/22.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))),
% 33.49/22.10 inference(transitivity,[status(thm)],[7908, 7906])).
% 33.49/22.10 tff(7910,plain,
% 33.49/22.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0)))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7911,plain,
% 33.49/22.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42))),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7910, 7909])).
% 33.49/22.10 tff(7912,plain,
% 33.49/22.10 (v90(constB42, bitIndex0) | (~v100(constB42))),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7911, 885, 7905])).
% 33.49/22.10 tff(7913,plain,
% 33.49/22.10 (v90(constB42, bitIndex0)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7912, 7808])).
% 33.49/22.10 tff(7914,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7915,plain,
% 33.49/22.10 (((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0)) <=> ((~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7916,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0)))),
% 33.49/22.10 inference(monotonicity,[status(thm)],[7915])).
% 33.49/22.10 tff(7917,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))),
% 33.49/22.10 inference(transitivity,[status(thm)],[7916, 7914])).
% 33.49/22.10 tff(7918,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7919,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0)),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7918, 7917])).
% 33.49/22.10 tff(7920,plain,
% 33.49/22.10 ((~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7919, 903, 7839])).
% 33.49/22.10 tff(7921,plain,
% 33.49/22.10 ((~v90(constB42, bitIndex0)) | v90(constB43, bitIndex0)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7920, 7851])).
% 33.49/22.10 tff(7922,plain,
% 33.49/22.10 (v90(constB43, bitIndex0)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7921, 7913])).
% 33.49/22.10 tff(7923,plain,
% 33.49/22.10 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7924,plain,
% 33.49/22.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7925,plain,
% 33.49/22.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43)),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7924, 7923])).
% 33.49/22.10 tff(7926,plain,
% 33.49/22.10 (v122(constB43)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7925, 1486, 7922, 7891, 7860])).
% 33.49/22.10 tff(7927,plain,
% 33.49/22.10 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB43) | (~v122(constB43)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB43) | (~v122(constB43)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7928,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB43) | (~v122(constB43)))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7929,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB43) | (~v122(constB43))),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7928, 7927])).
% 33.49/22.10 tff(7930,plain,
% 33.49/22.10 (v116(constB43)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7929, 1497, 7926])).
% 33.49/22.10 tff(7931,plain,
% 33.49/22.10 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB43) | (~v116(constB43)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB43) | (~v116(constB43)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7932,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB43) | (~v116(constB43)))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7933,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB43) | (~v116(constB43))),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7932, 7931])).
% 33.49/22.10 tff(7934,plain,
% 33.49/22.10 (v115(constB43)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7933, 520, 7930])).
% 33.49/22.10 tff(7935,plain,
% 33.49/22.10 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB43) | (~v115(constB43)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB43) | (~v115(constB43)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7936,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB43) | (~v115(constB43)))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7937,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB43) | (~v115(constB43))),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7936, 7935])).
% 33.49/22.10 tff(7938,plain,
% 33.49/22.10 (v114(constB43)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7937, 531, 7934])).
% 33.49/22.10 tff(7939,plain,
% 33.49/22.10 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB43) | (~v114(constB43)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB43) | (~v114(constB43)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7940,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB43) | (~v114(constB43)))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7941,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB43) | (~v114(constB43))),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7940, 7939])).
% 33.49/22.10 tff(7942,plain,
% 33.49/22.10 (v113(constB43)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7941, 542, 7938])).
% 33.49/22.10 tff(7943,assumption,(v26(constB43)), introduced(assumption)).
% 33.49/22.10 tff(7944,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB43))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7945,plain,
% 33.49/22.10 ($false),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7944, 120, 7943])).
% 33.49/22.10 tff(7946,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 33.49/22.10 tff(7947,plain,
% 33.49/22.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7948,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7949,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | (~v113(constB43)) | v112(constB43)),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7948, 7947])).
% 33.49/22.10 tff(7950,plain,
% 33.49/22.10 ((~v113(constB43)) | v112(constB43)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7949, 556, 7946])).
% 33.49/22.10 tff(7951,plain,
% 33.49/22.10 (v112(constB43)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7950, 7942])).
% 33.49/22.10 tff(7952,plain,
% 33.49/22.10 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB43) | (~v112(constB43)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB43) | (~v112(constB43)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7953,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB43) | (~v112(constB43)))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7954,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB43) | (~v112(constB43))),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7953, 7952])).
% 33.49/22.10 tff(7955,plain,
% 33.49/22.10 (v108(constB43)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7954, 568, 7951])).
% 33.49/22.10 tff(7956,plain,
% 33.49/22.10 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7957,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 33.49/22.10 tff(7958,plain,
% 33.49/22.10 (nextState(constB43, constB44)),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7957, 7956])).
% 33.49/22.10 tff(7959,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7960,plain,
% 33.49/22.10 (((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44)) <=> ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7961,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))))),
% 33.49/22.10 inference(monotonicity,[status(thm)],[7960])).
% 33.49/22.10 tff(7962,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 33.49/22.10 inference(transitivity,[status(thm)],[7961, 7959])).
% 33.49/22.10 tff(7963,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7964,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7963, 7962])).
% 33.49/22.10 tff(7965,plain,
% 33.49/22.10 (v110(constB44) | (~v108(constB43))),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7964, 585, 7958])).
% 33.49/22.10 tff(7966,plain,
% 33.49/22.10 (v110(constB44)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7965, 7955])).
% 33.49/22.10 tff(7967,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7968,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7969,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44))),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7968, 7967])).
% 33.49/22.10 tff(7970,plain,
% 33.49/22.10 (~v104(constB44)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7969, 603, 7958, 7836])).
% 33.49/22.10 tff(7971,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7972,plain,
% 33.49/22.10 (((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44)) <=> ((~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7973,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | v102(constB44)))),
% 33.49/22.10 inference(monotonicity,[status(thm)],[7972])).
% 33.49/22.10 tff(7974,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))),
% 33.49/22.10 inference(transitivity,[status(thm)],[7973, 7971])).
% 33.49/22.10 tff(7975,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7976,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | v102(constB44)),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7975, 7974])).
% 33.49/22.10 tff(7977,plain,
% 33.49/22.10 (v104(constB44) | v102(constB44)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7976, 617, 7958])).
% 33.49/22.10 tff(7978,plain,
% 33.49/22.10 (v102(constB44)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7977, 7970])).
% 33.49/22.10 tff(7979,plain,
% 33.49/22.10 (v1(constB44) <=> v1(constB44)),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7980,axiom,(v1(constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 33.49/22.10 tff(7981,plain,
% 33.49/22.10 (v1(constB44)),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7980, 7979])).
% 33.49/22.10 tff(7982,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7983,plain,
% 33.49/22.10 (((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44))) <=> ((~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7984,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44))))),
% 33.49/22.10 inference(monotonicity,[status(thm)],[7983])).
% 33.49/22.10 tff(7985,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))),
% 33.49/22.10 inference(transitivity,[status(thm)],[7984, 7982])).
% 33.49/22.10 tff(7986,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7987,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44))),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7986, 7985])).
% 33.49/22.10 tff(7988,plain,
% 33.49/22.10 (v101(constB44) | (~v102(constB44))),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7987, 638, 7958, 7981])).
% 33.49/22.10 tff(7989,plain,
% 33.49/22.10 (v101(constB44)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7988, 7978])).
% 33.49/22.10 tff(7990,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7991,plain,
% 33.49/22.10 (((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44)) <=> ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(7992,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))))),
% 33.49/22.10 inference(monotonicity,[status(thm)],[7991])).
% 33.49/22.10 tff(7993,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 33.49/22.10 inference(transitivity,[status(thm)],[7992, 7990])).
% 33.49/22.10 tff(7994,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(7995,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[7994, 7993])).
% 33.49/22.10 tff(7996,plain,
% 33.49/22.10 (v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7995, 656, 7958])).
% 33.49/22.10 tff(7997,plain,
% 33.49/22.10 (v100(constB44) | (~v110(constB44))),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7996, 7989])).
% 33.49/22.10 tff(7998,plain,
% 33.49/22.10 (v100(constB44)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[7997, 7966])).
% 33.49/22.10 tff(7999,plain,
% 33.49/22.10 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB43)) | v130(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB43)) | v130(constB43, bitIndex2))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(8000,plain,
% 33.49/22.10 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB43)) | v130(constB43, bitIndex2))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(8001,plain,
% 33.49/22.10 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB43)) | v130(constB43, bitIndex2)),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[8000, 7999])).
% 33.49/22.10 tff(8002,plain,
% 33.49/22.10 (v130(constB43, bitIndex2)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[8001, 1578, 7926])).
% 33.49/22.10 tff(8003,plain,
% 33.49/22.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(8004,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(8005,plain,
% 33.49/22.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[8004, 8003])).
% 33.49/22.10 tff(8006,plain,
% 33.49/22.10 ((~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[8005, 1592, 7946])).
% 33.49/22.10 tff(8007,plain,
% 33.49/22.10 (v127(constB43, bitIndex2)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[8006, 8002])).
% 33.49/22.10 tff(8008,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(8009,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(8010,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[8009, 8008])).
% 33.49/22.10 tff(8011,plain,
% 33.49/22.10 ((~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[8010, 1607, 7958])).
% 33.49/22.10 tff(8012,plain,
% 33.49/22.10 (v129(constB44, bitIndex2)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[8011, 8007])).
% 33.49/22.10 tff(8013,plain,
% 33.49/22.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(8014,plain,
% 33.49/22.10 ((v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2))) <=> (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(8015,plain,
% 33.49/22.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))))),
% 33.49/22.10 inference(monotonicity,[status(thm)],[8014])).
% 33.49/22.10 tff(8016,plain,
% 33.49/22.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 33.49/22.10 inference(transitivity,[status(thm)],[8015, 8013])).
% 33.49/22.10 tff(8017,plain,
% 33.49/22.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(8018,plain,
% 33.49/22.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[8017, 8016])).
% 33.49/22.10 tff(8019,plain,
% 33.49/22.10 (v90(constB44, bitIndex2) | (~v100(constB44))),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[8018, 1622, 8012])).
% 33.49/22.10 tff(8020,plain,
% 33.49/22.10 (v90(constB44, bitIndex2)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[8019, 7998])).
% 33.49/22.10 tff(8021,plain,
% 33.49/22.10 ((~v1(constB45)) <=> (~v1(constB45))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(8022,axiom,(~v1(constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 33.49/22.10 tff(8023,plain,
% 33.49/22.10 (~v1(constB45)),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[8022, 8021])).
% 33.49/22.10 tff(8024,plain,
% 33.49/22.10 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(8025,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 33.49/22.10 tff(8026,plain,
% 33.49/22.10 (nextState(constB44, constB45)),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[8025, 8024])).
% 33.49/22.10 tff(8027,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(8028,plain,
% 33.49/22.10 (((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 33.49/22.10 inference(rewrite,[status(thm)],[])).
% 33.49/22.10 tff(8029,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))))),
% 33.49/22.10 inference(monotonicity,[status(thm)],[8028])).
% 33.49/22.10 tff(8030,plain,
% 33.49/22.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 33.49/22.10 inference(transitivity,[status(thm)],[8029, 8027])).
% 33.49/22.10 tff(8031,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))),
% 33.49/22.10 inference(quant_inst,[status(thm)],[])).
% 33.49/22.10 tff(8032,plain,
% 33.49/22.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))),
% 33.49/22.10 inference(modus_ponens,[status(thm)],[8031, 8030])).
% 33.49/22.10 tff(8033,plain,
% 33.49/22.10 (~v101(constB45)),
% 33.49/22.10 inference(unit_resolution,[status(thm)],[8032, 381, 8026, 8023])).
% 33.49/22.11 tff(8034,plain,
% 33.49/22.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8035,plain,
% 33.49/22.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8036,plain,
% 33.49/22.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45))),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8035, 8034])).
% 33.49/22.11 tff(8037,plain,
% 33.49/22.11 (v101(constB45) | (~v100(constB45))),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8036, 398, 8026])).
% 33.49/22.11 tff(8038,plain,
% 33.49/22.11 (~v100(constB45)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8037, 8033])).
% 33.49/22.11 tff(8039,plain,
% 33.49/22.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8040,plain,
% 33.49/22.11 (((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)) <=> ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8041,plain,
% 33.49/22.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2)))),
% 33.49/22.11 inference(monotonicity,[status(thm)],[8040])).
% 33.49/22.11 tff(8042,plain,
% 33.49/22.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 33.49/22.11 inference(transitivity,[status(thm)],[8041, 8039])).
% 33.49/22.11 tff(8043,plain,
% 33.49/22.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8044,plain,
% 33.49/22.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2)),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8043, 8042])).
% 33.49/22.11 tff(8045,plain,
% 33.49/22.11 ((~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8044, 1658, 8026])).
% 33.49/22.11 tff(8046,plain,
% 33.49/22.11 ((~v90(constB44, bitIndex2)) | v90(constB45, bitIndex2)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8045, 8038])).
% 33.49/22.11 tff(8047,plain,
% 33.49/22.11 (v90(constB45, bitIndex2)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8046, 8020])).
% 33.49/22.11 tff(8048,plain,
% 33.49/22.11 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB43)) | (~v130(constB43, bitIndex1)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8049,plain,
% 33.49/22.11 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex1)))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8050,plain,
% 33.49/22.11 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB43)) | (~v130(constB43, bitIndex1))),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8049, 8048])).
% 33.49/22.11 tff(8051,plain,
% 33.49/22.11 (~v130(constB43, bitIndex1)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8050, 1677, 7926])).
% 33.49/22.11 tff(8052,plain,
% 33.49/22.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8053,plain,
% 33.49/22.11 ((v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1))) <=> ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8054,plain,
% 33.49/22.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1)))),
% 33.49/22.11 inference(monotonicity,[status(thm)],[8053])).
% 33.49/22.11 tff(8055,plain,
% 33.49/22.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 33.49/22.11 inference(transitivity,[status(thm)],[8054, 8052])).
% 33.49/22.11 tff(8056,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8057,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1)),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8056, 8055])).
% 33.49/22.11 tff(8058,plain,
% 33.49/22.11 ((~v127(constB43, bitIndex1)) | v130(constB43, bitIndex1)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8057, 781, 7946])).
% 33.49/22.11 tff(8059,plain,
% 33.49/22.11 (~v127(constB43, bitIndex1)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8058, 8051])).
% 33.49/22.11 tff(8060,plain,
% 33.49/22.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8061,plain,
% 33.49/22.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8062,plain,
% 33.49/22.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1))),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8061, 8060])).
% 33.49/22.11 tff(8063,plain,
% 33.49/22.11 (v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1))),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8062, 799, 7958])).
% 33.49/22.11 tff(8064,plain,
% 33.49/22.11 (~v129(constB44, bitIndex1)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8063, 8059])).
% 33.49/22.11 tff(8065,plain,
% 33.49/22.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8066,plain,
% 33.49/22.11 (((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1)) <=> ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8067,plain,
% 33.49/22.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44))))),
% 33.49/22.11 inference(monotonicity,[status(thm)],[8066])).
% 33.49/22.11 tff(8068,plain,
% 33.49/22.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 33.49/22.11 inference(transitivity,[status(thm)],[8067, 8065])).
% 33.49/22.11 tff(8069,plain,
% 33.49/22.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8070,plain,
% 33.49/22.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44))),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8069, 8068])).
% 33.49/22.11 tff(8071,plain,
% 33.49/22.11 ((~v90(constB44, bitIndex1)) | (~v100(constB44))),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8070, 814, 8064])).
% 33.49/22.11 tff(8072,plain,
% 33.49/22.11 (~v90(constB44, bitIndex1)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8071, 7998])).
% 33.49/22.11 tff(8073,plain,
% 33.49/22.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8074,plain,
% 33.49/22.11 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1))) <=> (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8075,plain,
% 33.49/22.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1))))),
% 33.49/22.11 inference(monotonicity,[status(thm)],[8074])).
% 33.49/22.11 tff(8076,plain,
% 33.49/22.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 33.49/22.11 inference(transitivity,[status(thm)],[8075, 8073])).
% 33.49/22.11 tff(8077,plain,
% 33.49/22.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8078,plain,
% 33.49/22.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1))),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8077, 8076])).
% 33.49/22.11 tff(8079,plain,
% 33.49/22.11 (v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1))),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8078, 434, 8026])).
% 33.49/22.11 tff(8080,plain,
% 33.49/22.11 (v90(constB44, bitIndex1) | (~v90(constB45, bitIndex1))),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8079, 8038])).
% 33.49/22.11 tff(8081,plain,
% 33.49/22.11 (~v90(constB45, bitIndex1)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8080, 8072])).
% 33.49/22.11 tff(8082,plain,
% 33.49/22.11 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB43)) | (~v130(constB43, bitIndex0)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8083,plain,
% 33.49/22.11 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex0)))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8084,plain,
% 33.49/22.11 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB43)) | (~v130(constB43, bitIndex0))),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8083, 8082])).
% 33.49/22.11 tff(8085,plain,
% 33.49/22.11 (~v130(constB43, bitIndex0)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8084, 1721, 7926])).
% 33.49/22.11 tff(8086,plain,
% 33.49/22.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8087,plain,
% 33.49/22.11 ((v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0))) <=> ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8088,plain,
% 33.49/22.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)))),
% 33.49/22.11 inference(monotonicity,[status(thm)],[8087])).
% 33.49/22.11 tff(8089,plain,
% 33.49/22.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 33.49/22.11 inference(transitivity,[status(thm)],[8088, 8086])).
% 33.49/22.11 tff(8090,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8091,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8090, 8089])).
% 33.49/22.11 tff(8092,plain,
% 33.49/22.11 ((~v127(constB43, bitIndex0)) | v130(constB43, bitIndex0)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8091, 1182, 7946])).
% 33.49/22.11 tff(8093,plain,
% 33.49/22.11 (~v127(constB43, bitIndex0)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8092, 8085])).
% 33.49/22.11 tff(8094,plain,
% 33.49/22.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8095,plain,
% 33.49/22.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8096,plain,
% 33.49/22.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8095, 8094])).
% 33.49/22.11 tff(8097,plain,
% 33.49/22.11 (v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8096, 1200, 7958])).
% 33.49/22.11 tff(8098,plain,
% 33.49/22.11 (~v129(constB44, bitIndex0)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8097, 8093])).
% 33.49/22.11 tff(8099,plain,
% 33.49/22.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8100,plain,
% 33.49/22.11 (((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0)) <=> ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8101,plain,
% 33.49/22.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))))),
% 33.49/22.11 inference(monotonicity,[status(thm)],[8100])).
% 33.49/22.11 tff(8102,plain,
% 33.49/22.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 33.49/22.11 inference(transitivity,[status(thm)],[8101, 8099])).
% 33.49/22.11 tff(8103,plain,
% 33.49/22.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8104,plain,
% 33.49/22.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8103, 8102])).
% 33.49/22.11 tff(8105,plain,
% 33.49/22.11 ((~v90(constB44, bitIndex0)) | (~v100(constB44))),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8104, 1215, 8098])).
% 33.49/22.11 tff(8106,plain,
% 33.49/22.11 (~v90(constB44, bitIndex0)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8105, 7998])).
% 33.49/22.11 tff(8107,plain,
% 33.49/22.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8108,plain,
% 33.49/22.11 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))) <=> (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8109,plain,
% 33.49/22.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0))))),
% 33.49/22.11 inference(monotonicity,[status(thm)],[8108])).
% 33.49/22.11 tff(8110,plain,
% 33.49/22.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 33.49/22.11 inference(transitivity,[status(thm)],[8109, 8107])).
% 33.49/22.11 tff(8111,plain,
% 33.49/22.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8112,plain,
% 33.49/22.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8111, 8110])).
% 33.49/22.11 tff(8113,plain,
% 33.49/22.11 (v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8112, 455, 8026])).
% 33.49/22.11 tff(8114,plain,
% 33.49/22.11 (v90(constB44, bitIndex0) | (~v90(constB45, bitIndex0))),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8113, 8038])).
% 33.49/22.11 tff(8115,plain,
% 33.49/22.11 (~v90(constB45, bitIndex0)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8114, 8106])).
% 33.49/22.11 tff(8116,plain,
% 33.49/22.11 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8117,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8118,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45)),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8117, 8116])).
% 33.49/22.11 tff(8119,plain,
% 33.49/22.11 (v123(constB45)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8118, 1765, 8115, 8081, 8047])).
% 33.49/22.11 tff(8120,plain,
% 33.49/22.11 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB45)) | v130(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB45)) | v130(constB45, bitIndex2))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8121,plain,
% 33.49/22.11 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB45)) | v130(constB45, bitIndex2))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8122,plain,
% 33.49/22.11 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB45)) | v130(constB45, bitIndex2)),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8121, 8120])).
% 33.49/22.11 tff(8123,plain,
% 33.49/22.11 (v130(constB45, bitIndex2)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8122, 1850, 8119])).
% 33.49/22.11 tff(8124,assumption,(v26(constB45)), introduced(assumption)).
% 33.49/22.11 tff(8125,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB45))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8126,plain,
% 33.49/22.11 ($false),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8125, 120, 8124])).
% 33.49/22.11 tff(8127,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 33.49/22.11 tff(8128,plain,
% 33.49/22.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8129,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8130,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2)),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8129, 8128])).
% 33.49/22.11 tff(8131,plain,
% 33.49/22.11 ((~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8130, 1592, 8127])).
% 33.49/22.11 tff(8132,plain,
% 33.49/22.11 (v127(constB45, bitIndex2)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8131, 8123])).
% 33.49/22.11 tff(8133,plain,
% 33.49/22.11 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8134,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 33.49/22.11 tff(8135,plain,
% 33.49/22.11 (nextState(constB45, constB46)),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8134, 8133])).
% 33.49/22.11 tff(8136,plain,
% 33.49/22.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8137,plain,
% 33.49/22.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8138,plain,
% 33.49/22.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2)),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8137, 8136])).
% 33.49/22.11 tff(8139,plain,
% 33.49/22.11 ((~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8138, 1607, 8135])).
% 33.49/22.11 tff(8140,plain,
% 33.49/22.11 (v129(constB46, bitIndex2)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8139, 8132])).
% 33.49/22.11 tff(8141,assumption,(~v113(constB45)), introduced(assumption)).
% 33.49/22.11 tff(8142,plain,
% 33.49/22.11 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB45) | (~v114(constB45)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB45) | (~v114(constB45)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8143,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB45) | (~v114(constB45)))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8144,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB45) | (~v114(constB45))),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8143, 8142])).
% 33.49/22.11 tff(8145,plain,
% 33.49/22.11 (~v114(constB45)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8144, 542, 8141])).
% 33.49/22.11 tff(8146,plain,
% 33.49/22.11 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB45) | (~v115(constB45)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB45) | (~v115(constB45)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8147,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB45) | (~v115(constB45)))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8148,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB45) | (~v115(constB45))),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8147, 8146])).
% 33.49/22.11 tff(8149,plain,
% 33.49/22.11 (~v115(constB45)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8148, 531, 8145])).
% 33.49/22.11 tff(8150,plain,
% 33.49/22.11 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB45) | (~v116(constB45)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB45) | (~v116(constB45)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8151,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB45) | (~v116(constB45)))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8152,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB45) | (~v116(constB45))),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8151, 8150])).
% 33.49/22.11 tff(8153,plain,
% 33.49/22.11 (~v116(constB45)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8152, 520, 8149])).
% 33.49/22.11 tff(8154,plain,
% 33.49/22.11 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB45) | (~v117(constB45)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB45) | (~v117(constB45)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8155,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB45) | (~v117(constB45)))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8156,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB45) | (~v117(constB45))),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8155, 8154])).
% 33.49/22.11 tff(8157,plain,
% 33.49/22.11 (~v117(constB45)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8156, 509, 8153])).
% 33.49/22.11 tff(8158,plain,
% 33.49/22.11 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB45) | (~v118(constB45)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB45) | (~v118(constB45)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8159,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB45) | (~v118(constB45)))),
% 33.49/22.11 inference(quant_inst,[status(thm)],[])).
% 33.49/22.11 tff(8160,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB45) | (~v118(constB45))),
% 33.49/22.11 inference(modus_ponens,[status(thm)],[8159, 8158])).
% 33.49/22.11 tff(8161,plain,
% 33.49/22.11 (~v118(constB45)),
% 33.49/22.11 inference(unit_resolution,[status(thm)],[8160, 498, 8157])).
% 33.49/22.11 tff(8162,plain,
% 33.49/22.11 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB45) | (~v119(constB45)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB45) | (~v119(constB45)))),
% 33.49/22.11 inference(rewrite,[status(thm)],[])).
% 33.49/22.11 tff(8163,plain,
% 33.49/22.11 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB45) | (~v119(constB45)))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8164,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB45) | (~v119(constB45))),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8163, 8162])).
% 33.49/22.12 tff(8165,plain,
% 33.49/22.12 (~v119(constB45)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8164, 487, 8161])).
% 33.49/22.12 tff(8166,plain,
% 33.49/22.12 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB45) | (~v125(constB45)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB45) | (~v125(constB45)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8167,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB45) | (~v125(constB45)))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8168,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB45) | (~v125(constB45))),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8167, 8166])).
% 33.49/22.12 tff(8169,plain,
% 33.49/22.12 (~v125(constB45)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8168, 2332, 8141])).
% 33.49/22.12 tff(8170,assumption,(~v90(constB45, bitIndex0)), introduced(assumption)).
% 33.49/22.12 tff(8171,plain,
% 33.49/22.12 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB45) | (~v121(constB45)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB45) | (~v121(constB45)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8172,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB45) | (~v121(constB45)))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8173,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB45) | (~v121(constB45))),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8172, 8171])).
% 33.49/22.12 tff(8174,plain,
% 33.49/22.12 (~v121(constB45)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8173, 1253, 8157])).
% 33.49/22.12 tff(8175,assumption,(~v121(constB45)), introduced(assumption)).
% 33.49/22.12 tff(8176,assumption,(v90(constB45, bitIndex1)), introduced(assumption)).
% 33.49/22.12 tff(8177,assumption,(~v125(constB45)), introduced(assumption)).
% 33.49/22.12 tff(8178,plain,
% 33.49/22.12 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8179,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8180,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45)),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8179, 8178])).
% 33.49/22.12 tff(8181,plain,
% 33.49/22.12 ((~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8180, 2321, 8170])).
% 33.49/22.12 tff(8182,plain,
% 33.49/22.12 (~v90(constB45, bitIndex2)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8181, 8176, 8177])).
% 33.49/22.12 tff(8183,plain,
% 33.49/22.12 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex2) | v121(constB45))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex2) | v121(constB45))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8184,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex2) | v121(constB45))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8185,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex2) | v121(constB45)),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8184, 8183])).
% 33.49/22.12 tff(8186,plain,
% 33.49/22.12 ((~v90(constB45, bitIndex1)) | v90(constB45, bitIndex2) | v121(constB45)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8185, 1242, 8170])).
% 33.49/22.12 tff(8187,plain,
% 33.49/22.12 ($false),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8186, 8182, 8176, 8175])).
% 33.49/22.12 tff(8188,plain,((~v90(constB45, bitIndex1)) | v121(constB45) | v90(constB45, bitIndex0) | v125(constB45)), inference(lemma,lemma(discharge,[]))).
% 33.49/22.12 tff(8189,plain,
% 33.49/22.12 (~v90(constB45, bitIndex1)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8188, 8174, 8170, 8169])).
% 33.49/22.12 tff(8190,plain,
% 33.49/22.12 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB45) | (~v123(constB45)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB45) | (~v123(constB45)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8191,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB45) | (~v123(constB45)))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8192,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB45) | (~v123(constB45))),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8191, 8190])).
% 33.49/22.12 tff(8193,plain,
% 33.49/22.12 (~v123(constB45)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8192, 1776, 8149])).
% 33.49/22.12 tff(8194,plain,
% 33.49/22.12 (v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8118, 1765, 8170])).
% 33.49/22.12 tff(8195,plain,
% 33.49/22.12 (~v90(constB45, bitIndex2)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8194, 8189, 8193])).
% 33.49/22.12 tff(8196,plain,
% 33.49/22.12 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB45) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB45) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8197,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB45) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8198,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB45) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2)),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8197, 8196])).
% 33.49/22.12 tff(8199,plain,
% 33.49/22.12 (v119(constB45) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8198, 476, 8170])).
% 33.49/22.12 tff(8200,plain,
% 33.49/22.12 ($false),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8199, 8195, 8189, 8165])).
% 33.49/22.12 tff(8201,plain,(v113(constB45) | v90(constB45, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 33.49/22.12 tff(8202,plain,
% 33.49/22.12 (v113(constB45)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8201, 8115])).
% 33.49/22.12 tff(8203,plain,
% 33.49/22.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8204,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8205,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | (~v113(constB45)) | v112(constB45)),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8204, 8203])).
% 33.49/22.12 tff(8206,plain,
% 33.49/22.12 ((~v113(constB45)) | v112(constB45)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8205, 556, 8127])).
% 33.49/22.12 tff(8207,plain,
% 33.49/22.12 (v112(constB45)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8206, 8202])).
% 33.49/22.12 tff(8208,plain,
% 33.49/22.12 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB45) | (~v112(constB45)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB45) | (~v112(constB45)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8209,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB45) | (~v112(constB45)))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8210,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB45) | (~v112(constB45))),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8209, 8208])).
% 33.49/22.12 tff(8211,plain,
% 33.49/22.12 (v108(constB45)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8210, 568, 8207])).
% 33.49/22.12 tff(8212,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8213,plain,
% 33.49/22.12 (((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46)) <=> ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8214,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))))),
% 33.49/22.12 inference(monotonicity,[status(thm)],[8213])).
% 33.49/22.12 tff(8215,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 33.49/22.12 inference(transitivity,[status(thm)],[8214, 8212])).
% 33.49/22.12 tff(8216,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8217,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8216, 8215])).
% 33.49/22.12 tff(8218,plain,
% 33.49/22.12 (v110(constB46) | (~v108(constB45))),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8217, 585, 8135])).
% 33.49/22.12 tff(8219,plain,
% 33.49/22.12 (v110(constB46)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8218, 8211])).
% 33.49/22.12 tff(8220,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8221,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8222,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46))),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8221, 8220])).
% 33.49/22.12 tff(8223,plain,
% 33.49/22.12 (~v104(constB46)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8222, 603, 8135, 8023])).
% 33.49/22.12 tff(8224,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8225,plain,
% 33.49/22.12 (((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46)) <=> ((~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8226,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | v102(constB46)))),
% 33.49/22.12 inference(monotonicity,[status(thm)],[8225])).
% 33.49/22.12 tff(8227,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))),
% 33.49/22.12 inference(transitivity,[status(thm)],[8226, 8224])).
% 33.49/22.12 tff(8228,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8229,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | v102(constB46)),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8228, 8227])).
% 33.49/22.12 tff(8230,plain,
% 33.49/22.12 (v104(constB46) | v102(constB46)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8229, 617, 8135])).
% 33.49/22.12 tff(8231,plain,
% 33.49/22.12 (v102(constB46)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8230, 8223])).
% 33.49/22.12 tff(8232,plain,
% 33.49/22.12 (v1(constB46) <=> v1(constB46)),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8233,axiom,(v1(constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 33.49/22.12 tff(8234,plain,
% 33.49/22.12 (v1(constB46)),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8233, 8232])).
% 33.49/22.12 tff(8235,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8236,plain,
% 33.49/22.12 (((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46))) <=> ((~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8237,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46))))),
% 33.49/22.12 inference(monotonicity,[status(thm)],[8236])).
% 33.49/22.12 tff(8238,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))),
% 33.49/22.12 inference(transitivity,[status(thm)],[8237, 8235])).
% 33.49/22.12 tff(8239,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8240,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46))),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8239, 8238])).
% 33.49/22.12 tff(8241,plain,
% 33.49/22.12 (v101(constB46) | (~v102(constB46))),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8240, 638, 8135, 8234])).
% 33.49/22.12 tff(8242,plain,
% 33.49/22.12 (v101(constB46)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8241, 8231])).
% 33.49/22.12 tff(8243,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8244,plain,
% 33.49/22.12 (((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46)) <=> ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8245,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))))),
% 33.49/22.12 inference(monotonicity,[status(thm)],[8244])).
% 33.49/22.12 tff(8246,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 33.49/22.12 inference(transitivity,[status(thm)],[8245, 8243])).
% 33.49/22.12 tff(8247,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8248,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8247, 8246])).
% 33.49/22.12 tff(8249,plain,
% 33.49/22.12 (v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8248, 656, 8135])).
% 33.49/22.12 tff(8250,plain,
% 33.49/22.12 (v100(constB46) | (~v110(constB46))),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8249, 8242])).
% 33.49/22.12 tff(8251,plain,
% 33.49/22.12 (v100(constB46)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8250, 8219])).
% 33.49/22.12 tff(8252,plain,
% 33.49/22.12 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8253,plain,
% 33.49/22.12 ((v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2))) <=> (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8254,plain,
% 33.49/22.12 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46))))),
% 33.49/22.12 inference(monotonicity,[status(thm)],[8253])).
% 33.49/22.12 tff(8255,plain,
% 33.49/22.12 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 33.49/22.12 inference(transitivity,[status(thm)],[8254, 8252])).
% 33.49/22.12 tff(8256,plain,
% 33.49/22.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8257,plain,
% 33.49/22.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46))),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8256, 8255])).
% 33.49/22.12 tff(8258,plain,
% 33.49/22.12 (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2))),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8257, 1622, 8251])).
% 33.49/22.12 tff(8259,plain,
% 33.49/22.12 (v90(constB46, bitIndex2)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8258, 8140])).
% 33.49/22.12 tff(8260,plain,
% 33.49/22.12 ((~v1(constB47)) <=> (~v1(constB47))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8261,axiom,(~v1(constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 33.49/22.12 tff(8262,plain,
% 33.49/22.12 (~v1(constB47)),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8261, 8260])).
% 33.49/22.12 tff(8263,plain,
% 33.49/22.12 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8264,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 33.49/22.12 tff(8265,plain,
% 33.49/22.12 (nextState(constB46, constB47)),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8264, 8263])).
% 33.49/22.12 tff(8266,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8267,plain,
% 33.49/22.12 (((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8268,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))))),
% 33.49/22.12 inference(monotonicity,[status(thm)],[8267])).
% 33.49/22.12 tff(8269,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 33.49/22.12 inference(transitivity,[status(thm)],[8268, 8266])).
% 33.49/22.12 tff(8270,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8271,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8270, 8269])).
% 33.49/22.12 tff(8272,plain,
% 33.49/22.12 (~v101(constB47)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8271, 381, 8265, 8262])).
% 33.49/22.12 tff(8273,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8274,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8275,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47))),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8274, 8273])).
% 33.49/22.12 tff(8276,plain,
% 33.49/22.12 (v101(constB47) | (~v100(constB47))),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8275, 398, 8265])).
% 33.49/22.12 tff(8277,plain,
% 33.49/22.12 (~v100(constB47)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8276, 8272])).
% 33.49/22.12 tff(8278,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8279,plain,
% 33.49/22.12 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2)) <=> ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8280,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2)))),
% 33.49/22.12 inference(monotonicity,[status(thm)],[8279])).
% 33.49/22.12 tff(8281,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 33.49/22.12 inference(transitivity,[status(thm)],[8280, 8278])).
% 33.49/22.12 tff(8282,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8283,plain,
% 33.49/22.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2)),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8282, 8281])).
% 33.49/22.12 tff(8284,plain,
% 33.49/22.12 ((~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8283, 1658, 8265])).
% 33.49/22.12 tff(8285,plain,
% 33.49/22.12 ((~v90(constB46, bitIndex2)) | v90(constB47, bitIndex2)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8284, 8277])).
% 33.49/22.12 tff(8286,plain,
% 33.49/22.12 (v90(constB47, bitIndex2)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8285, 8259])).
% 33.49/22.12 tff(8287,plain,
% 33.49/22.12 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB45)) | (~v130(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB45)) | (~v130(constB45, bitIndex1)))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8288,plain,
% 33.49/22.12 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB45)) | (~v130(constB45, bitIndex1)))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8289,plain,
% 33.49/22.12 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB45)) | (~v130(constB45, bitIndex1))),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8288, 8287])).
% 33.49/22.12 tff(8290,plain,
% 33.49/22.12 (~v130(constB45, bitIndex1)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8289, 1909, 8119])).
% 33.49/22.12 tff(8291,plain,
% 33.49/22.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8292,plain,
% 33.49/22.12 ((v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1))) <=> ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 33.49/22.12 inference(rewrite,[status(thm)],[])).
% 33.49/22.12 tff(8293,plain,
% 33.49/22.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)))),
% 33.49/22.12 inference(monotonicity,[status(thm)],[8292])).
% 33.49/22.12 tff(8294,plain,
% 33.49/22.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 33.49/22.12 inference(transitivity,[status(thm)],[8293, 8291])).
% 33.49/22.12 tff(8295,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))),
% 33.49/22.12 inference(quant_inst,[status(thm)],[])).
% 33.49/22.12 tff(8296,plain,
% 33.49/22.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)),
% 33.49/22.12 inference(modus_ponens,[status(thm)],[8295, 8294])).
% 33.49/22.12 tff(8297,plain,
% 33.49/22.12 ((~v127(constB45, bitIndex1)) | v130(constB45, bitIndex1)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8296, 781, 8127])).
% 33.49/22.12 tff(8298,plain,
% 33.49/22.12 (~v127(constB45, bitIndex1)),
% 33.49/22.12 inference(unit_resolution,[status(thm)],[8297, 8290])).
% 33.49/22.12 tff(8299,plain,
% 33.49/22.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8300,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8301,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8300, 8299])).
% 33.49/22.13 tff(8302,plain,
% 33.49/22.13 (v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8301, 799, 8135])).
% 33.49/22.13 tff(8303,plain,
% 33.49/22.13 (~v129(constB46, bitIndex1)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8302, 8298])).
% 33.49/22.13 tff(8304,plain,
% 33.49/22.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8305,plain,
% 33.49/22.13 (((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1)) <=> ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8306,plain,
% 33.49/22.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))))),
% 33.49/22.13 inference(monotonicity,[status(thm)],[8305])).
% 33.49/22.13 tff(8307,plain,
% 33.49/22.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 33.49/22.13 inference(transitivity,[status(thm)],[8306, 8304])).
% 33.49/22.13 tff(8308,plain,
% 33.49/22.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8309,plain,
% 33.49/22.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8308, 8307])).
% 33.49/22.13 tff(8310,plain,
% 33.49/22.13 ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8309, 814, 8251])).
% 33.49/22.13 tff(8311,plain,
% 33.49/22.13 (~v90(constB46, bitIndex1)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8310, 8303])).
% 33.49/22.13 tff(8312,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8313,plain,
% 33.49/22.13 (((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))) <=> (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8314,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1))))),
% 33.49/22.13 inference(monotonicity,[status(thm)],[8313])).
% 33.49/22.13 tff(8315,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 33.49/22.13 inference(transitivity,[status(thm)],[8314, 8312])).
% 33.49/22.13 tff(8316,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8317,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8316, 8315])).
% 33.49/22.13 tff(8318,plain,
% 33.49/22.13 (v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8317, 434, 8265])).
% 33.49/22.13 tff(8319,plain,
% 33.49/22.13 (v90(constB46, bitIndex1) | (~v90(constB47, bitIndex1))),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8318, 8277])).
% 33.49/22.13 tff(8320,plain,
% 33.49/22.13 (~v90(constB47, bitIndex1)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8319, 8311])).
% 33.49/22.13 tff(8321,plain,
% 33.49/22.13 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB45)) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB45)) | v130(constB45, bitIndex0))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8322,plain,
% 33.49/22.13 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB45)) | v130(constB45, bitIndex0))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8323,plain,
% 33.49/22.13 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB45)) | v130(constB45, bitIndex0)),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8322, 8321])).
% 33.49/22.13 tff(8324,plain,
% 33.49/22.13 (v130(constB45, bitIndex0)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8323, 1953, 8119])).
% 33.49/22.13 tff(8325,plain,
% 33.49/22.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8326,plain,
% 33.49/22.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8327,plain,
% 33.49/22.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8326, 8325])).
% 33.49/22.13 tff(8328,plain,
% 33.49/22.13 ((~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8327, 855, 8127])).
% 33.49/22.13 tff(8329,plain,
% 33.49/22.13 (v127(constB45, bitIndex0)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8328, 8324])).
% 33.49/22.13 tff(8330,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8331,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8332,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8331, 8330])).
% 33.49/22.13 tff(8333,plain,
% 33.49/22.13 ((~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8332, 870, 8135])).
% 33.49/22.13 tff(8334,plain,
% 33.49/22.13 (v129(constB46, bitIndex0)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8333, 8329])).
% 33.49/22.13 tff(8335,plain,
% 33.49/22.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8336,plain,
% 33.49/22.13 ((v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0))) <=> (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8337,plain,
% 33.49/22.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))))),
% 33.49/22.13 inference(monotonicity,[status(thm)],[8336])).
% 33.49/22.13 tff(8338,plain,
% 33.49/22.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 33.49/22.13 inference(transitivity,[status(thm)],[8337, 8335])).
% 33.49/22.13 tff(8339,plain,
% 33.49/22.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8340,plain,
% 33.49/22.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8339, 8338])).
% 33.49/22.13 tff(8341,plain,
% 33.49/22.13 (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0))),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8340, 885, 8251])).
% 33.49/22.13 tff(8342,plain,
% 33.49/22.13 (v90(constB46, bitIndex0)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8341, 8334])).
% 33.49/22.13 tff(8343,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8344,plain,
% 33.49/22.13 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)) <=> ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8345,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0)))),
% 33.49/22.13 inference(monotonicity,[status(thm)],[8344])).
% 33.49/22.13 tff(8346,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 33.49/22.13 inference(transitivity,[status(thm)],[8345, 8343])).
% 33.49/22.13 tff(8347,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8348,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0)),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8347, 8346])).
% 33.49/22.13 tff(8349,plain,
% 33.49/22.13 ((~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8348, 903, 8265])).
% 33.49/22.13 tff(8350,plain,
% 33.49/22.13 ((~v90(constB46, bitIndex0)) | v90(constB47, bitIndex0)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8349, 8277])).
% 33.49/22.13 tff(8351,plain,
% 33.49/22.13 (v90(constB47, bitIndex0)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8350, 8342])).
% 33.49/22.13 tff(8352,plain,
% 33.49/22.13 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8353,plain,
% 33.49/22.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8354,plain,
% 33.49/22.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47)),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8353, 8352])).
% 33.49/22.13 tff(8355,plain,
% 33.49/22.13 (v124(constB47)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8354, 1994, 8351, 8320, 8286])).
% 33.49/22.13 tff(8356,plain,
% 33.49/22.13 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB47)) | v130(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB47)) | v130(constB47, bitIndex1))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8357,plain,
% 33.49/22.13 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB47)) | v130(constB47, bitIndex1))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8358,plain,
% 33.49/22.13 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB47)) | v130(constB47, bitIndex1)),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8357, 8356])).
% 33.49/22.13 tff(8359,plain,
% 33.49/22.13 (v130(constB47, bitIndex1)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8358, 2145, 8355])).
% 33.49/22.13 tff(8360,assumption,(v26(constB47)), introduced(assumption)).
% 33.49/22.13 tff(8361,plain,
% 33.49/22.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB47))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8362,plain,
% 33.49/22.13 ($false),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8361, 120, 8360])).
% 33.49/22.13 tff(8363,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 33.49/22.13 tff(8364,plain,
% 33.49/22.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8365,plain,
% 33.49/22.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8366,plain,
% 33.49/22.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8365, 8364])).
% 33.49/22.13 tff(8367,plain,
% 33.49/22.13 ((~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8366, 1101, 8363])).
% 33.49/22.13 tff(8368,plain,
% 33.49/22.13 (v127(constB47, bitIndex1)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8367, 8359])).
% 33.49/22.13 tff(8369,plain,
% 33.49/22.13 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8370,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 33.49/22.13 tff(8371,plain,
% 33.49/22.13 (nextState(constB47, constB48)),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8370, 8369])).
% 33.49/22.13 tff(8372,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8373,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8374,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8373, 8372])).
% 33.49/22.13 tff(8375,plain,
% 33.49/22.13 ((~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8374, 1116, 8371])).
% 33.49/22.13 tff(8376,plain,
% 33.49/22.13 (v129(constB48, bitIndex1)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8375, 8368])).
% 33.49/22.13 tff(8377,assumption,(~v90(constB47, bitIndex1)), introduced(assumption)).
% 33.49/22.13 tff(8378,assumption,(~v100(constB48)), introduced(assumption)).
% 33.49/22.13 tff(8379,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8380,plain,
% 33.49/22.13 (((~nextState(constB47, constB48)) | v90(constB47, bitIndex1) | v100(constB48) | (~v90(constB48, bitIndex1))) <=> (v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8381,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex1) | v100(constB48) | (~v90(constB48, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1))))),
% 33.49/22.13 inference(monotonicity,[status(thm)],[8380])).
% 33.49/22.13 tff(8382,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex1) | v100(constB48) | (~v90(constB48, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1)))),
% 33.49/22.13 inference(transitivity,[status(thm)],[8381, 8379])).
% 33.49/22.13 tff(8383,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex1) | v100(constB48) | (~v90(constB48, bitIndex1)))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8384,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB47, bitIndex1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex1))),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8383, 8382])).
% 33.49/22.13 tff(8385,plain,
% 33.49/22.13 (v90(constB47, bitIndex1) | v100(constB48) | (~v90(constB48, bitIndex1))),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8384, 434, 8371])).
% 33.49/22.13 tff(8386,plain,
% 33.49/22.13 (~v90(constB48, bitIndex1)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8385, 8377, 8378])).
% 33.49/22.13 tff(8387,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8388,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8389,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48))),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8388, 8387])).
% 33.49/22.13 tff(8390,plain,
% 33.49/22.13 (~v104(constB48)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8389, 603, 8371, 8262])).
% 33.49/22.13 tff(8391,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8392,plain,
% 33.49/22.13 (((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48)) <=> ((~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8393,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | v102(constB48)))),
% 33.49/22.13 inference(monotonicity,[status(thm)],[8392])).
% 33.49/22.13 tff(8394,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))),
% 33.49/22.13 inference(transitivity,[status(thm)],[8393, 8391])).
% 33.49/22.13 tff(8395,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8396,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | v102(constB48)),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8395, 8394])).
% 33.49/22.13 tff(8397,plain,
% 33.49/22.13 (v104(constB48) | v102(constB48)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8396, 617, 8371])).
% 33.49/22.13 tff(8398,plain,
% 33.49/22.13 (v102(constB48)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8397, 8390])).
% 33.49/22.13 tff(8399,plain,
% 33.49/22.13 (v1(constB48) <=> v1(constB48)),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8400,axiom,(v1(constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 33.49/22.13 tff(8401,plain,
% 33.49/22.13 (v1(constB48)),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8400, 8399])).
% 33.49/22.13 tff(8402,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8403,plain,
% 33.49/22.13 (((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48))) <=> ((~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8404,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48))))),
% 33.49/22.13 inference(monotonicity,[status(thm)],[8403])).
% 33.49/22.13 tff(8405,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))),
% 33.49/22.13 inference(transitivity,[status(thm)],[8404, 8402])).
% 33.49/22.13 tff(8406,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8407,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48))),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8406, 8405])).
% 33.49/22.13 tff(8408,plain,
% 33.49/22.13 (v101(constB48) | (~v102(constB48))),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8407, 638, 8371, 8401])).
% 33.49/22.13 tff(8409,plain,
% 33.49/22.13 (v101(constB48)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8408, 8398])).
% 33.49/22.13 tff(8410,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8411,plain,
% 33.49/22.13 (((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48)) <=> ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8412,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))))),
% 33.49/22.13 inference(monotonicity,[status(thm)],[8411])).
% 33.49/22.13 tff(8413,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 33.49/22.13 inference(transitivity,[status(thm)],[8412, 8410])).
% 33.49/22.13 tff(8414,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))),
% 33.49/22.13 inference(quant_inst,[status(thm)],[])).
% 33.49/22.13 tff(8415,plain,
% 33.49/22.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 33.49/22.13 inference(modus_ponens,[status(thm)],[8414, 8413])).
% 33.49/22.13 tff(8416,plain,
% 33.49/22.13 (v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8415, 656, 8371])).
% 33.49/22.13 tff(8417,plain,
% 33.49/22.13 (v100(constB48) | (~v110(constB48))),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8416, 8409])).
% 33.49/22.13 tff(8418,plain,
% 33.49/22.13 (~v110(constB48)),
% 33.49/22.13 inference(unit_resolution,[status(thm)],[8417, 8378])).
% 33.49/22.13 tff(8419,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8420,plain,
% 33.49/22.13 (((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48)) <=> ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 33.49/22.13 inference(rewrite,[status(thm)],[])).
% 33.49/22.13 tff(8421,plain,
% 33.49/22.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))))),
% 33.49/22.14 inference(monotonicity,[status(thm)],[8420])).
% 33.49/22.14 tff(8422,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 33.49/22.14 inference(transitivity,[status(thm)],[8421, 8419])).
% 33.49/22.14 tff(8423,plain,
% 33.49/22.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8424,plain,
% 33.49/22.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8423, 8422])).
% 33.49/22.14 tff(8425,plain,
% 33.49/22.14 (v110(constB48) | (~v108(constB47))),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8424, 585, 8371])).
% 33.49/22.14 tff(8426,plain,
% 33.49/22.14 (~v108(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8425, 8418])).
% 33.49/22.14 tff(8427,plain,
% 33.49/22.14 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB47) | (~v112(constB47)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB47) | (~v112(constB47)))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8428,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB47) | (~v112(constB47)))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8429,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB47) | (~v112(constB47))),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8428, 8427])).
% 33.49/22.14 tff(8430,plain,
% 33.49/22.14 (~v112(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8429, 568, 8426])).
% 33.49/22.14 tff(8431,plain,
% 33.49/22.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8432,plain,
% 33.49/22.14 ((v26(constB47) | (~v113(constB47)) | v112(constB47)) <=> (v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8433,plain,
% 33.49/22.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47))))),
% 33.49/22.14 inference(monotonicity,[status(thm)],[8432])).
% 33.49/22.14 tff(8434,plain,
% 33.49/22.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 33.49/22.14 inference(transitivity,[status(thm)],[8433, 8431])).
% 33.49/22.14 tff(8435,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8436,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47))),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8435, 8434])).
% 33.49/22.14 tff(8437,plain,
% 33.49/22.14 (v112(constB47) | (~v113(constB47))),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8436, 556, 8363])).
% 33.49/22.14 tff(8438,plain,
% 33.49/22.14 (~v113(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8437, 8430])).
% 33.49/22.14 tff(8439,plain,
% 33.49/22.14 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB47) | (~v114(constB47)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB47) | (~v114(constB47)))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8440,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB47) | (~v114(constB47)))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8441,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB47) | (~v114(constB47))),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8440, 8439])).
% 33.49/22.14 tff(8442,plain,
% 33.49/22.14 (~v114(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8441, 542, 8438])).
% 33.49/22.14 tff(8443,plain,
% 33.49/22.14 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB47) | (~v115(constB47)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB47) | (~v115(constB47)))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8444,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB47) | (~v115(constB47)))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8445,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB47) | (~v115(constB47))),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8444, 8443])).
% 33.49/22.14 tff(8446,plain,
% 33.49/22.14 (~v115(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8445, 531, 8442])).
% 33.49/22.14 tff(8447,assumption,(~v90(constB48, bitIndex2)), introduced(assumption)).
% 33.49/22.14 tff(8448,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB47, bitIndex2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB47, bitIndex2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex2))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8449,plain,
% 33.49/22.14 (((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex2)) | v100(constB48) | v90(constB48, bitIndex2)) <=> ((~v90(constB47, bitIndex2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex2))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8450,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex2)) | v100(constB48) | v90(constB48, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB47, bitIndex2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex2)))),
% 33.49/22.14 inference(monotonicity,[status(thm)],[8449])).
% 33.49/22.14 tff(8451,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex2)) | v100(constB48) | v90(constB48, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB47, bitIndex2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex2))),
% 33.49/22.14 inference(transitivity,[status(thm)],[8450, 8448])).
% 33.49/22.14 tff(8452,plain,
% 33.49/22.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex2)) | v100(constB48) | v90(constB48, bitIndex2))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8453,plain,
% 33.49/22.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB47, bitIndex2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex2)),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8452, 8451])).
% 33.49/22.14 tff(8454,plain,
% 33.49/22.14 ((~v90(constB47, bitIndex2)) | v100(constB48) | v90(constB48, bitIndex2)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8453, 1658, 8371])).
% 33.49/22.14 tff(8455,plain,
% 33.49/22.14 (~v90(constB47, bitIndex2)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8454, 8378, 8447])).
% 33.49/22.14 tff(8456,assumption,(~v90(constB48, bitIndex1)), introduced(assumption)).
% 33.49/22.14 tff(8457,plain,
% 33.49/22.14 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB47) | (~v26(constB47)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB47) | (~v26(constB47)))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8458,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB47) | (~v26(constB47)))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8459,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB47) | (~v26(constB47))),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8458, 8457])).
% 33.49/22.14 tff(8460,plain,
% 33.49/22.14 (~v26(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8459, 2348, 8426])).
% 33.49/22.14 tff(8461,plain,
% 33.49/22.14 (~v113(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8436, 556, 8460, 8430])).
% 33.49/22.14 tff(8462,plain,
% 33.49/22.14 (~v114(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8441, 542, 8461])).
% 33.49/22.14 tff(8463,plain,
% 33.49/22.14 (~v115(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8445, 531, 8462])).
% 33.49/22.14 tff(8464,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB47, bitIndex1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB47, bitIndex1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex1))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8465,plain,
% 33.49/22.14 (((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex1)) | v100(constB48) | v90(constB48, bitIndex1)) <=> ((~v90(constB47, bitIndex1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex1))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8466,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex1)) | v100(constB48) | v90(constB48, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB47, bitIndex1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex1)))),
% 33.49/22.14 inference(monotonicity,[status(thm)],[8465])).
% 33.49/22.14 tff(8467,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex1)) | v100(constB48) | v90(constB48, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB47, bitIndex1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex1))),
% 33.49/22.14 inference(transitivity,[status(thm)],[8466, 8464])).
% 33.49/22.14 tff(8468,plain,
% 33.49/22.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex1)) | v100(constB48) | v90(constB48, bitIndex1))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8469,plain,
% 33.49/22.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB47, bitIndex1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex1)),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8468, 8467])).
% 33.49/22.14 tff(8470,plain,
% 33.49/22.14 ((~v90(constB47, bitIndex1)) | v100(constB48) | v90(constB48, bitIndex1)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8469, 1149, 8371])).
% 33.49/22.14 tff(8471,plain,
% 33.49/22.14 (~v90(constB47, bitIndex1)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8470, 8378, 8456])).
% 33.49/22.14 tff(8472,assumption,(~v90(constB48, bitIndex0)), introduced(assumption)).
% 33.49/22.14 tff(8473,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB47, bitIndex0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB47, bitIndex0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex0))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8474,plain,
% 33.49/22.14 (((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex0)) | v100(constB48) | v90(constB48, bitIndex0)) <=> ((~v90(constB47, bitIndex0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex0))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8475,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex0)) | v100(constB48) | v90(constB48, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB47, bitIndex0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex0)))),
% 33.49/22.14 inference(monotonicity,[status(thm)],[8474])).
% 33.49/22.14 tff(8476,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex0)) | v100(constB48) | v90(constB48, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB47, bitIndex0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex0))),
% 33.49/22.14 inference(transitivity,[status(thm)],[8475, 8473])).
% 33.49/22.14 tff(8477,plain,
% 33.49/22.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB47, constB48)) | (~v90(constB47, bitIndex0)) | v100(constB48) | v90(constB48, bitIndex0))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8478,plain,
% 33.49/22.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB47, bitIndex0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, bitIndex0)),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8477, 8476])).
% 33.49/22.14 tff(8479,plain,
% 33.49/22.14 ((~v90(constB47, bitIndex0)) | v100(constB48) | v90(constB48, bitIndex0)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8478, 903, 8371])).
% 33.49/22.14 tff(8480,plain,
% 33.49/22.14 (~v90(constB47, bitIndex0)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8479, 8378, 8472])).
% 33.49/22.14 tff(8481,plain,
% 33.49/22.14 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB47) | v90(constB47, bitIndex0) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB47) | v90(constB47, bitIndex0) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8482,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB47) | v90(constB47, bitIndex0) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8483,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB47) | v90(constB47, bitIndex0) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2)),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8482, 8481])).
% 33.49/22.14 tff(8484,plain,
% 33.49/22.14 (v119(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8483, 476, 8480, 8471, 8455])).
% 33.49/22.14 tff(8485,plain,
% 33.49/22.14 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB47) | (~v119(constB47)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB47) | (~v119(constB47)))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8486,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB47) | (~v119(constB47)))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8487,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB47) | (~v119(constB47))),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8486, 8485])).
% 33.49/22.14 tff(8488,plain,
% 33.49/22.14 (v118(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8487, 487, 8484])).
% 33.49/22.14 tff(8489,plain,
% 33.49/22.14 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB47) | (~v118(constB47)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB47) | (~v118(constB47)))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8490,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB47) | (~v118(constB47)))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8491,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB47) | (~v118(constB47))),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8490, 8489])).
% 33.49/22.14 tff(8492,plain,
% 33.49/22.14 (v117(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8491, 498, 8488])).
% 33.49/22.14 tff(8493,plain,
% 33.49/22.14 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB47) | (~v117(constB47)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB47) | (~v117(constB47)))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8494,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB47) | (~v117(constB47)))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8495,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB47) | (~v117(constB47))),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8494, 8493])).
% 33.49/22.14 tff(8496,plain,
% 33.49/22.14 (v116(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8495, 509, 8492])).
% 33.49/22.14 tff(8497,plain,
% 33.49/22.14 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB47) | (~v116(constB47)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB47) | (~v116(constB47)))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8498,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB47) | (~v116(constB47)))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8499,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB47) | (~v116(constB47))),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8498, 8497])).
% 33.49/22.14 tff(8500,plain,
% 33.49/22.14 ($false),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8499, 520, 8496, 8463])).
% 33.49/22.14 tff(8501,plain,(v100(constB48) | v90(constB48, bitIndex2) | v90(constB48, bitIndex0) | v90(constB48, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 33.49/22.14 tff(8502,plain,
% 33.49/22.14 (v90(constB48, bitIndex0)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8501, 8378, 8447, 8456])).
% 33.49/22.14 tff(8503,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0)))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8504,plain,
% 33.49/22.14 (((~nextState(constB47, constB48)) | v90(constB47, bitIndex0) | v100(constB48) | (~v90(constB48, bitIndex0))) <=> (v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0)))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8505,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex0) | v100(constB48) | (~v90(constB48, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0))))),
% 33.49/22.14 inference(monotonicity,[status(thm)],[8504])).
% 33.49/22.14 tff(8506,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex0) | v100(constB48) | (~v90(constB48, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0)))),
% 33.49/22.14 inference(transitivity,[status(thm)],[8505, 8503])).
% 33.49/22.14 tff(8507,plain,
% 33.49/22.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex0) | v100(constB48) | (~v90(constB48, bitIndex0)))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8508,plain,
% 33.49/22.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB47, bitIndex0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex0))),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8507, 8506])).
% 33.49/22.14 tff(8509,plain,
% 33.49/22.14 (v90(constB47, bitIndex0) | v100(constB48) | (~v90(constB48, bitIndex0))),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8508, 455, 8371])).
% 33.49/22.14 tff(8510,plain,
% 33.49/22.14 (v90(constB47, bitIndex0)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8509, 8502, 8378])).
% 33.49/22.14 tff(8511,plain,
% 33.49/22.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8512,plain,
% 33.49/22.14 (((~v90(constB47, bitIndex0)) | v120(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2)) <=> ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8513,plain,
% 33.49/22.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex0)) | v120(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47)))),
% 33.49/22.14 inference(monotonicity,[status(thm)],[8512])).
% 33.49/22.14 tff(8514,plain,
% 33.49/22.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex0)) | v120(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))),
% 33.49/22.14 inference(transitivity,[status(thm)],[8513, 8511])).
% 33.49/22.14 tff(8515,plain,
% 33.49/22.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex0)) | v120(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8516,plain,
% 33.49/22.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47)),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8515, 8514])).
% 33.49/22.14 tff(8517,plain,
% 33.49/22.14 ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex2) | v120(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8516, 922, 8377])).
% 33.49/22.14 tff(8518,plain,
% 33.49/22.14 (v120(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8517, 8510, 8455])).
% 33.49/22.14 tff(8519,plain,
% 33.49/22.14 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB47) | (~v120(constB47)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB47) | (~v120(constB47)))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8520,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB47) | (~v120(constB47)))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.14 tff(8521,plain,
% 33.49/22.14 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB47) | (~v120(constB47))),
% 33.49/22.14 inference(modus_ponens,[status(thm)],[8520, 8519])).
% 33.49/22.14 tff(8522,plain,
% 33.49/22.14 (v118(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8521, 936, 8518])).
% 33.49/22.14 tff(8523,plain,
% 33.49/22.14 (v117(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8491, 498, 8522])).
% 33.49/22.14 tff(8524,plain,
% 33.49/22.14 (v116(constB47)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8495, 509, 8523])).
% 33.49/22.14 tff(8525,plain,
% 33.49/22.14 ($false),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8499, 520, 8524, 8446])).
% 33.49/22.14 tff(8526,plain,(v100(constB48) | v90(constB47, bitIndex1) | v90(constB48, bitIndex2) | v90(constB48, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 33.49/22.14 tff(8527,plain,
% 33.49/22.14 (v90(constB48, bitIndex2)),
% 33.49/22.14 inference(unit_resolution,[status(thm)],[8526, 8377, 8378, 8386])).
% 33.49/22.14 tff(8528,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2)))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8529,plain,
% 33.49/22.14 (((~nextState(constB47, constB48)) | v90(constB47, bitIndex2) | v100(constB48) | (~v90(constB48, bitIndex2))) <=> (v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2)))),
% 33.49/22.14 inference(rewrite,[status(thm)],[])).
% 33.49/22.14 tff(8530,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex2) | v100(constB48) | (~v90(constB48, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2))))),
% 33.49/22.14 inference(monotonicity,[status(thm)],[8529])).
% 33.49/22.14 tff(8531,plain,
% 33.49/22.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex2) | v100(constB48) | (~v90(constB48, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2)))),
% 33.49/22.14 inference(transitivity,[status(thm)],[8530, 8528])).
% 33.49/22.14 tff(8532,plain,
% 33.49/22.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v90(constB47, bitIndex2) | v100(constB48) | (~v90(constB48, bitIndex2)))),
% 33.49/22.14 inference(quant_inst,[status(thm)],[])).
% 33.49/22.15 tff(8533,plain,
% 33.49/22.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB47, bitIndex2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, bitIndex2))),
% 33.49/22.15 inference(modus_ponens,[status(thm)],[8532, 8531])).
% 33.49/22.15 tff(8534,plain,
% 33.49/22.15 (v90(constB47, bitIndex2) | v100(constB48) | (~v90(constB48, bitIndex2))),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8533, 413, 8371])).
% 33.49/22.15 tff(8535,plain,
% 33.49/22.15 (v90(constB47, bitIndex2)),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8534, 8527, 8378])).
% 33.49/22.15 tff(8536,assumption,(v90(constB48, bitIndex2)), introduced(assumption)).
% 33.49/22.15 tff(8537,plain,
% 33.49/22.15 (v90(constB47, bitIndex2)),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8534, 8378, 8536])).
% 33.49/22.15 tff(8538,assumption,(~v90(constB47, bitIndex0)), introduced(assumption)).
% 33.49/22.15 tff(8539,plain,
% 33.49/22.15 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB47, bitIndex0) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v123(constB47))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB47, bitIndex0) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v123(constB47))),
% 33.49/22.15 inference(rewrite,[status(thm)],[])).
% 33.49/22.15 tff(8540,plain,
% 33.49/22.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB47, bitIndex0) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v123(constB47))),
% 33.49/22.15 inference(quant_inst,[status(thm)],[])).
% 33.49/22.15 tff(8541,plain,
% 33.49/22.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB47, bitIndex0) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v123(constB47)),
% 33.49/22.15 inference(modus_ponens,[status(thm)],[8540, 8539])).
% 33.49/22.15 tff(8542,plain,
% 33.49/22.15 (v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v123(constB47)),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8541, 1765, 8538])).
% 33.49/22.15 tff(8543,plain,
% 33.49/22.15 (v123(constB47)),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8542, 8537, 8377])).
% 33.49/22.15 tff(8544,plain,
% 33.49/22.15 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB47) | (~v123(constB47)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB47) | (~v123(constB47)))),
% 33.49/22.15 inference(rewrite,[status(thm)],[])).
% 33.49/22.15 tff(8545,plain,
% 33.49/22.15 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB47) | (~v123(constB47)))),
% 33.49/22.15 inference(quant_inst,[status(thm)],[])).
% 33.49/22.15 tff(8546,plain,
% 33.49/22.15 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB47) | (~v123(constB47))),
% 33.49/22.15 inference(modus_ponens,[status(thm)],[8545, 8544])).
% 33.49/22.15 tff(8547,plain,
% 33.49/22.15 (v115(constB47)),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8546, 1776, 8543])).
% 33.49/22.15 tff(8548,plain,
% 33.49/22.15 (v114(constB47)),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8445, 531, 8547])).
% 33.49/22.15 tff(8549,plain,
% 33.49/22.15 ($false),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8441, 542, 8548, 8461])).
% 33.49/22.15 tff(8550,plain,(v100(constB48) | v90(constB47, bitIndex1) | v90(constB47, bitIndex0) | (~v90(constB48, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 33.49/22.15 tff(8551,plain,
% 33.49/22.15 (v90(constB47, bitIndex0)),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8550, 8527, 8378, 8377])).
% 33.49/22.15 tff(8552,plain,
% 33.49/22.15 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB47) | (~v124(constB47)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB47) | (~v124(constB47)))),
% 33.49/22.15 inference(rewrite,[status(thm)],[])).
% 33.49/22.15 tff(8553,plain,
% 33.49/22.15 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB47) | (~v124(constB47)))),
% 33.49/22.15 inference(quant_inst,[status(thm)],[])).
% 33.49/22.15 tff(8554,plain,
% 33.49/22.15 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB47) | (~v124(constB47))),
% 33.49/22.15 inference(modus_ponens,[status(thm)],[8553, 8552])).
% 33.49/22.15 tff(8555,plain,
% 33.49/22.15 (~v124(constB47)),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8554, 2005, 8442])).
% 33.49/22.15 tff(8556,plain,
% 33.49/22.15 ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2))),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8354, 1994, 8555])).
% 33.49/22.15 tff(8557,plain,
% 33.49/22.15 ($false),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8556, 8551, 8535, 8377])).
% 33.49/22.15 tff(8558,plain,(v90(constB47, bitIndex1) | v100(constB48)), inference(lemma,lemma(discharge,[]))).
% 33.49/22.15 tff(8559,plain,
% 33.49/22.15 (v100(constB48)),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8558, 8320])).
% 33.49/22.15 tff(8560,plain,
% 33.49/22.15 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 33.49/22.15 inference(rewrite,[status(thm)],[])).
% 33.49/22.15 tff(8561,plain,
% 33.49/22.15 ((v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1))) <=> (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 33.49/22.15 inference(rewrite,[status(thm)],[])).
% 33.49/22.15 tff(8562,plain,
% 33.49/22.15 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))))),
% 33.49/22.15 inference(monotonicity,[status(thm)],[8561])).
% 33.49/22.15 tff(8563,plain,
% 33.49/22.15 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 33.49/22.15 inference(transitivity,[status(thm)],[8562, 8560])).
% 33.49/22.15 tff(8564,plain,
% 33.49/22.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))),
% 33.49/22.15 inference(quant_inst,[status(thm)],[])).
% 33.49/22.15 tff(8565,plain,
% 33.49/22.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))),
% 33.49/22.15 inference(modus_ponens,[status(thm)],[8564, 8563])).
% 33.49/22.15 tff(8566,plain,
% 33.49/22.15 (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1))),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8565, 1131, 8559])).
% 33.49/22.15 tff(8567,plain,
% 33.49/22.15 (v90(constB48, bitIndex1)),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8566, 8376])).
% 33.49/22.15 tff(8568,plain,
% 33.49/22.15 ((~v1(constB49)) <=> (~v1(constB49))),
% 33.49/22.15 inference(rewrite,[status(thm)],[])).
% 33.49/22.15 tff(8569,axiom,(~v1(constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 33.49/22.15 tff(8570,plain,
% 33.49/22.15 (~v1(constB49)),
% 33.49/22.15 inference(modus_ponens,[status(thm)],[8569, 8568])).
% 33.49/22.15 tff(8571,plain,
% 33.49/22.15 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 33.49/22.15 inference(rewrite,[status(thm)],[])).
% 33.49/22.15 tff(8572,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 33.49/22.15 tff(8573,plain,
% 33.49/22.15 (nextState(constB48, constB49)),
% 33.49/22.15 inference(modus_ponens,[status(thm)],[8572, 8571])).
% 33.49/22.15 tff(8574,plain,
% 33.49/22.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 33.49/22.15 inference(rewrite,[status(thm)],[])).
% 33.49/22.15 tff(8575,plain,
% 33.49/22.15 (((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 33.49/22.15 inference(rewrite,[status(thm)],[])).
% 33.49/22.15 tff(8576,plain,
% 33.49/22.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))))),
% 33.49/22.15 inference(monotonicity,[status(thm)],[8575])).
% 33.49/22.15 tff(8577,plain,
% 33.49/22.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 33.49/22.15 inference(transitivity,[status(thm)],[8576, 8574])).
% 33.49/22.15 tff(8578,plain,
% 33.49/22.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))),
% 33.49/22.15 inference(quant_inst,[status(thm)],[])).
% 33.49/22.15 tff(8579,plain,
% 33.49/22.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))),
% 33.49/22.15 inference(modus_ponens,[status(thm)],[8578, 8577])).
% 33.49/22.15 tff(8580,plain,
% 33.49/22.15 (~v101(constB49)),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8579, 381, 8573, 8570])).
% 33.49/22.15 tff(8581,plain,
% 33.49/22.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 33.49/22.15 inference(rewrite,[status(thm)],[])).
% 33.49/22.15 tff(8582,plain,
% 33.49/22.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 33.49/22.15 inference(quant_inst,[status(thm)],[])).
% 33.49/22.15 tff(8583,plain,
% 33.49/22.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49))),
% 33.49/22.15 inference(modus_ponens,[status(thm)],[8582, 8581])).
% 33.49/22.15 tff(8584,plain,
% 33.49/22.15 (v101(constB49) | (~v100(constB49))),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8583, 398, 8573])).
% 33.49/22.15 tff(8585,plain,
% 33.49/22.15 (~v100(constB49)),
% 33.49/22.15 inference(unit_resolution,[status(thm)],[8584, 8580])).
% 33.49/22.15 tff(8586,plain,
% 33.49/22.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 33.49/22.15 inference(rewrite,[status(thm)],[])).
% 33.49/22.15 tff(8587,plain,
% 33.49/22.15 (((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)) <=> ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 33.49/22.15 inference(rewrite,[status(thm)],[])).
% 33.49/22.15 tff(8588,plain,
% 33.49/22.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1)))),
% 33.49/22.15 inference(monotonicity,[status(thm)],[8587])).
% 33.49/22.15 tff(8589,plain,
% 33.49/22.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 33.56/22.15 inference(transitivity,[status(thm)],[8588, 8586])).
% 33.56/22.15 tff(8590,plain,
% 33.56/22.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))),
% 33.56/22.15 inference(quant_inst,[status(thm)],[])).
% 33.56/22.15 tff(8591,plain,
% 33.56/22.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1)),
% 33.56/22.15 inference(modus_ponens,[status(thm)],[8590, 8589])).
% 33.56/22.15 tff(8592,plain,
% 33.56/22.15 ((~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8591, 1149, 8573])).
% 33.56/22.15 tff(8593,plain,
% 33.56/22.15 ((~v90(constB48, bitIndex1)) | v90(constB49, bitIndex1)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8592, 8585])).
% 33.56/22.15 tff(8594,plain,
% 33.56/22.15 (v90(constB49, bitIndex1)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8593, 8567])).
% 33.56/22.15 tff(8595,plain,
% 33.56/22.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v124(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v124(constB49)))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8596,plain,
% 33.56/22.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v124(constB49)))),
% 33.56/22.15 inference(quant_inst,[status(thm)],[])).
% 33.56/22.15 tff(8597,plain,
% 33.56/22.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v124(constB49))),
% 33.56/22.15 inference(modus_ponens,[status(thm)],[8596, 8595])).
% 33.56/22.15 tff(8598,plain,
% 33.56/22.15 (~v124(constB49)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8597, 2205, 8594])).
% 33.56/22.15 tff(8599,plain,
% 33.56/22.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v120(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v120(constB49)))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8600,plain,
% 33.56/22.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v120(constB49)))),
% 33.56/22.15 inference(quant_inst,[status(thm)],[])).
% 33.56/22.15 tff(8601,plain,
% 33.56/22.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v120(constB49))),
% 33.56/22.15 inference(modus_ponens,[status(thm)],[8600, 8599])).
% 33.56/22.15 tff(8602,plain,
% 33.56/22.15 (~v120(constB49)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8601, 2183, 8594])).
% 33.56/22.15 tff(8603,plain,
% 33.56/22.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v123(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v123(constB49)))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8604,plain,
% 33.56/22.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v123(constB49)))),
% 33.56/22.15 inference(quant_inst,[status(thm)],[])).
% 33.56/22.15 tff(8605,plain,
% 33.56/22.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v123(constB49))),
% 33.56/22.15 inference(modus_ponens,[status(thm)],[8604, 8603])).
% 33.56/22.15 tff(8606,plain,
% 33.56/22.15 (~v123(constB49)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8605, 2194, 8594])).
% 33.56/22.15 tff(8607,plain,
% 33.56/22.15 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB49)) | (~v90(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB49)) | (~v90(constB49, bitIndex1)))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8608,plain,
% 33.56/22.15 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB49)) | (~v90(constB49, bitIndex1)))),
% 33.56/22.15 inference(quant_inst,[status(thm)],[])).
% 33.56/22.15 tff(8609,plain,
% 33.56/22.15 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB49)) | (~v90(constB49, bitIndex1))),
% 33.56/22.15 inference(modus_ponens,[status(thm)],[8608, 8607])).
% 33.56/22.15 tff(8610,plain,
% 33.56/22.15 (~v119(constB49)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8609, 2230, 8594])).
% 33.56/22.15 tff(8611,plain,
% 33.56/22.15 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB47)) | v130(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB47)) | v130(constB47, bitIndex2))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8612,plain,
% 33.56/22.15 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB47)) | v130(constB47, bitIndex2))),
% 33.56/22.15 inference(quant_inst,[status(thm)],[])).
% 33.56/22.15 tff(8613,plain,
% 33.56/22.15 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB47)) | v130(constB47, bitIndex2)),
% 33.56/22.15 inference(modus_ponens,[status(thm)],[8612, 8611])).
% 33.56/22.15 tff(8614,plain,
% 33.56/22.15 (v130(constB47, bitIndex2)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8613, 2075, 8355])).
% 33.56/22.15 tff(8615,plain,
% 33.56/22.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8616,plain,
% 33.56/22.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))),
% 33.56/22.15 inference(quant_inst,[status(thm)],[])).
% 33.56/22.15 tff(8617,plain,
% 33.56/22.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2)),
% 33.56/22.15 inference(modus_ponens,[status(thm)],[8616, 8615])).
% 33.56/22.15 tff(8618,plain,
% 33.56/22.15 ((~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8617, 1592, 8363])).
% 33.56/22.15 tff(8619,plain,
% 33.56/22.15 (v127(constB47, bitIndex2)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8618, 8614])).
% 33.56/22.15 tff(8620,plain,
% 33.56/22.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8621,plain,
% 33.56/22.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))),
% 33.56/22.15 inference(quant_inst,[status(thm)],[])).
% 33.56/22.15 tff(8622,plain,
% 33.56/22.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2)),
% 33.56/22.15 inference(modus_ponens,[status(thm)],[8621, 8620])).
% 33.56/22.15 tff(8623,plain,
% 33.56/22.15 ((~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8622, 1607, 8371])).
% 33.56/22.15 tff(8624,plain,
% 33.56/22.15 (v129(constB48, bitIndex2)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8623, 8619])).
% 33.56/22.15 tff(8625,plain,
% 33.56/22.15 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8626,plain,
% 33.56/22.15 ((v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2))) <=> (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8627,plain,
% 33.56/22.15 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48))))),
% 33.56/22.15 inference(monotonicity,[status(thm)],[8626])).
% 33.56/22.15 tff(8628,plain,
% 33.56/22.15 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 33.56/22.15 inference(transitivity,[status(thm)],[8627, 8625])).
% 33.56/22.15 tff(8629,plain,
% 33.56/22.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))),
% 33.56/22.15 inference(quant_inst,[status(thm)],[])).
% 33.56/22.15 tff(8630,plain,
% 33.56/22.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48))),
% 33.56/22.15 inference(modus_ponens,[status(thm)],[8629, 8628])).
% 33.56/22.15 tff(8631,plain,
% 33.56/22.15 (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2))),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8630, 1622, 8559])).
% 33.56/22.15 tff(8632,plain,
% 33.56/22.15 (v90(constB48, bitIndex2)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8631, 8624])).
% 33.56/22.15 tff(8633,plain,
% 33.56/22.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8634,plain,
% 33.56/22.15 (((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2)) <=> ((~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8635,plain,
% 33.56/22.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2)))),
% 33.56/22.15 inference(monotonicity,[status(thm)],[8634])).
% 33.56/22.15 tff(8636,plain,
% 33.56/22.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))),
% 33.56/22.15 inference(transitivity,[status(thm)],[8635, 8633])).
% 33.56/22.15 tff(8637,plain,
% 33.56/22.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2))),
% 33.56/22.15 inference(quant_inst,[status(thm)],[])).
% 33.56/22.15 tff(8638,plain,
% 33.56/22.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2)),
% 33.56/22.15 inference(modus_ponens,[status(thm)],[8637, 8636])).
% 33.56/22.15 tff(8639,plain,
% 33.56/22.15 ((~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8638, 1658, 8573])).
% 33.56/22.15 tff(8640,plain,
% 33.56/22.15 ((~v90(constB48, bitIndex2)) | v90(constB49, bitIndex2)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8639, 8585])).
% 33.56/22.15 tff(8641,plain,
% 33.56/22.15 (v90(constB49, bitIndex2)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8640, 8632])).
% 33.56/22.15 tff(8642,plain,
% 33.56/22.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v121(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v121(constB49)))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8643,plain,
% 33.56/22.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v121(constB49)))),
% 33.56/22.15 inference(quant_inst,[status(thm)],[])).
% 33.56/22.15 tff(8644,plain,
% 33.56/22.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v121(constB49))),
% 33.56/22.15 inference(modus_ponens,[status(thm)],[8643, 8642])).
% 33.56/22.15 tff(8645,plain,
% 33.56/22.15 (~v121(constB49)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8644, 2216, 8641])).
% 33.56/22.15 tff(8646,plain,
% 33.56/22.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v122(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v122(constB49)))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8647,plain,
% 33.56/22.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v122(constB49)))),
% 33.56/22.15 inference(quant_inst,[status(thm)],[])).
% 33.56/22.15 tff(8648,plain,
% 33.56/22.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v122(constB49))),
% 33.56/22.15 inference(modus_ponens,[status(thm)],[8647, 8646])).
% 33.56/22.15 tff(8649,plain,
% 33.56/22.15 (~v122(constB49)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8648, 2131, 8641])).
% 33.56/22.15 tff(8650,plain,
% 33.56/22.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex2)))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8651,plain,
% 33.56/22.15 ((v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2))) <=> (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex2)))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8652,plain,
% 33.56/22.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex2))))),
% 33.56/22.15 inference(monotonicity,[status(thm)],[8651])).
% 33.56/22.15 tff(8653,plain,
% 33.56/22.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex2)))),
% 33.56/22.15 inference(transitivity,[status(thm)],[8652, 8650])).
% 33.56/22.15 tff(8654,plain,
% 33.56/22.15 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))),
% 33.56/22.15 inference(quant_inst,[status(thm)],[])).
% 33.56/22.15 tff(8655,plain,
% 33.56/22.15 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex2))),
% 33.56/22.15 inference(modus_ponens,[status(thm)],[8654, 8653])).
% 33.56/22.15 tff(8656,plain,
% 33.56/22.15 (~v130(constB49, bitIndex2)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8655, 2244, 8649, 8645, 8610, 8606, 8602, 8598])).
% 33.56/22.15 tff(8657,assumption,(v26(constB49)), introduced(assumption)).
% 33.56/22.15 tff(8658,plain,
% 33.56/22.15 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB49))),
% 33.56/22.15 inference(quant_inst,[status(thm)],[])).
% 33.56/22.15 tff(8659,plain,
% 33.56/22.15 ($false),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8658, 120, 8657])).
% 33.56/22.15 tff(8660,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 33.56/22.15 tff(8661,plain,
% 33.56/22.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8662,plain,
% 33.56/22.15 ((v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2))) <=> ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 33.56/22.15 inference(rewrite,[status(thm)],[])).
% 33.56/22.15 tff(8663,plain,
% 33.56/22.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)))),
% 33.56/22.15 inference(monotonicity,[status(thm)],[8662])).
% 33.56/22.15 tff(8664,plain,
% 33.56/22.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 33.56/22.15 inference(transitivity,[status(thm)],[8663, 8661])).
% 33.56/22.15 tff(8665,plain,
% 33.56/22.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))),
% 33.56/22.15 inference(quant_inst,[status(thm)],[])).
% 33.56/22.15 tff(8666,plain,
% 33.56/22.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)),
% 33.56/22.15 inference(modus_ponens,[status(thm)],[8665, 8664])).
% 33.56/22.15 tff(8667,plain,
% 33.56/22.15 ((~v127(constB49, bitIndex2)) | v130(constB49, bitIndex2)),
% 33.56/22.15 inference(unit_resolution,[status(thm)],[8666, 689, 8660])).
% 33.56/22.16 tff(8668,plain,
% 33.56/22.16 (~v127(constB49, bitIndex2)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8667, 8656])).
% 33.56/22.16 tff(8669,plain,
% 33.56/22.16 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8670,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 33.56/22.16 tff(8671,plain,
% 33.56/22.16 (nextState(constB49, constB50)),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8670, 8669])).
% 33.56/22.16 tff(8672,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8673,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8674,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8673, 8672])).
% 33.56/22.16 tff(8675,plain,
% 33.56/22.16 (v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8674, 707, 8671])).
% 33.56/22.16 tff(8676,plain,
% 33.56/22.16 (~v129(constB50, bitIndex2)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8675, 8668])).
% 33.56/22.16 tff(8677,plain,
% 33.56/22.16 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB47)) | (~v130(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB47)) | (~v130(constB47, bitIndex0)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8678,plain,
% 33.56/22.16 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB47)) | (~v130(constB47, bitIndex0)))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8679,plain,
% 33.56/22.16 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB47)) | (~v130(constB47, bitIndex0))),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8678, 8677])).
% 33.56/22.16 tff(8680,plain,
% 33.56/22.16 (~v130(constB47, bitIndex0)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8679, 2277, 8355])).
% 33.56/22.16 tff(8681,plain,
% 33.56/22.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8682,plain,
% 33.56/22.16 ((v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0))) <=> ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8683,plain,
% 33.56/22.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)))),
% 33.56/22.16 inference(monotonicity,[status(thm)],[8682])).
% 33.56/22.16 tff(8684,plain,
% 33.56/22.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 33.56/22.16 inference(transitivity,[status(thm)],[8683, 8681])).
% 33.56/22.16 tff(8685,plain,
% 33.56/22.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8686,plain,
% 33.56/22.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8685, 8684])).
% 33.56/22.16 tff(8687,plain,
% 33.56/22.16 ((~v127(constB47, bitIndex0)) | v130(constB47, bitIndex0)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8686, 1182, 8363])).
% 33.56/22.16 tff(8688,plain,
% 33.56/22.16 (~v127(constB47, bitIndex0)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8687, 8680])).
% 33.56/22.16 tff(8689,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8690,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8691,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8690, 8689])).
% 33.56/22.16 tff(8692,plain,
% 33.56/22.16 (v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8691, 1200, 8371])).
% 33.56/22.16 tff(8693,plain,
% 33.56/22.16 (~v129(constB48, bitIndex0)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8692, 8688])).
% 33.56/22.16 tff(8694,plain,
% 33.56/22.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8695,plain,
% 33.56/22.16 (((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0)) <=> ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8696,plain,
% 33.56/22.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))))),
% 33.56/22.16 inference(monotonicity,[status(thm)],[8695])).
% 33.56/22.16 tff(8697,plain,
% 33.56/22.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 33.56/22.16 inference(transitivity,[status(thm)],[8696, 8694])).
% 33.56/22.16 tff(8698,plain,
% 33.56/22.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8699,plain,
% 33.56/22.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8698, 8697])).
% 33.56/22.16 tff(8700,plain,
% 33.56/22.16 ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8699, 1215, 8559])).
% 33.56/22.16 tff(8701,plain,
% 33.56/22.16 (~v90(constB48, bitIndex0)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8700, 8693])).
% 33.56/22.16 tff(8702,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8703,plain,
% 33.56/22.16 (((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))) <=> (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8704,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0))))),
% 33.56/22.16 inference(monotonicity,[status(thm)],[8703])).
% 33.56/22.16 tff(8705,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 33.56/22.16 inference(transitivity,[status(thm)],[8704, 8702])).
% 33.56/22.16 tff(8706,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8707,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8706, 8705])).
% 33.56/22.16 tff(8708,plain,
% 33.56/22.16 (v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8707, 455, 8573])).
% 33.56/22.16 tff(8709,plain,
% 33.56/22.16 (v90(constB48, bitIndex0) | (~v90(constB49, bitIndex0))),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8708, 8585])).
% 33.56/22.16 tff(8710,plain,
% 33.56/22.16 (~v90(constB49, bitIndex0)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8709, 8701])).
% 33.56/22.16 tff(8711,plain,
% 33.56/22.16 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8712,plain,
% 33.56/22.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8713,plain,
% 33.56/22.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49)),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8712, 8711])).
% 33.56/22.16 tff(8714,plain,
% 33.56/22.16 (v125(constB49)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8713, 2321, 8710, 8594, 8641])).
% 33.56/22.16 tff(8715,plain,
% 33.56/22.16 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB49) | (~v125(constB49)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB49) | (~v125(constB49)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8716,plain,
% 33.56/22.16 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB49) | (~v125(constB49)))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8717,plain,
% 33.56/22.16 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB49) | (~v125(constB49))),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8716, 8715])).
% 33.56/22.16 tff(8718,plain,
% 33.56/22.16 (v113(constB49)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8717, 2332, 8714])).
% 33.56/22.16 tff(8719,assumption,(~v108(constB49)), introduced(assumption)).
% 33.56/22.16 tff(8720,plain,
% 33.56/22.16 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB49) | (~v112(constB49)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB49) | (~v112(constB49)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8721,plain,
% 33.56/22.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB49) | (~v112(constB49)))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8722,plain,
% 33.56/22.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB49) | (~v112(constB49))),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8721, 8720])).
% 33.56/22.16 tff(8723,plain,
% 33.56/22.16 (~v112(constB49)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8722, 568, 8719])).
% 33.56/22.16 tff(8724,plain,
% 33.56/22.16 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB49) | (~v26(constB49)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB49) | (~v26(constB49)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8725,plain,
% 33.56/22.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB49) | (~v26(constB49)))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8726,plain,
% 33.56/22.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB49) | (~v26(constB49))),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8725, 8724])).
% 33.56/22.16 tff(8727,plain,
% 33.56/22.16 (~v26(constB49)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8726, 2348, 8719])).
% 33.56/22.16 tff(8728,assumption,(v113(constB49)), introduced(assumption)).
% 33.56/22.16 tff(8729,plain,
% 33.56/22.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | v112(constB49) | (~v113(constB49)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8730,plain,
% 33.56/22.16 ((v26(constB49) | (~v113(constB49)) | v112(constB49)) <=> (v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8731,plain,
% 33.56/22.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | v112(constB49) | (~v113(constB49))))),
% 33.56/22.16 inference(monotonicity,[status(thm)],[8730])).
% 33.56/22.16 tff(8732,plain,
% 33.56/22.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 33.56/22.16 inference(transitivity,[status(thm)],[8731, 8729])).
% 33.56/22.16 tff(8733,plain,
% 33.56/22.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8734,plain,
% 33.56/22.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49))),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8733, 8732])).
% 33.56/22.16 tff(8735,plain,
% 33.56/22.16 (v26(constB49) | v112(constB49)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8734, 556, 8728])).
% 33.56/22.16 tff(8736,plain,
% 33.56/22.16 ($false),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8735, 8727, 8723])).
% 33.56/22.16 tff(8737,plain,(v108(constB49) | (~v113(constB49))), inference(lemma,lemma(discharge,[]))).
% 33.56/22.16 tff(8738,plain,
% 33.56/22.16 (v108(constB49)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8737, 8718])).
% 33.56/22.16 tff(8739,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8740,plain,
% 33.56/22.16 (((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50)) <=> ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8741,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))))),
% 33.56/22.16 inference(monotonicity,[status(thm)],[8740])).
% 33.56/22.16 tff(8742,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 33.56/22.16 inference(transitivity,[status(thm)],[8741, 8739])).
% 33.56/22.16 tff(8743,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8744,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8743, 8742])).
% 33.56/22.16 tff(8745,plain,
% 33.56/22.16 (v110(constB50) | (~v108(constB49))),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8744, 585, 8671])).
% 33.56/22.16 tff(8746,plain,
% 33.56/22.16 (v110(constB50)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8745, 8738])).
% 33.56/22.16 tff(8747,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8748,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8749,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50))),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8748, 8747])).
% 33.56/22.16 tff(8750,plain,
% 33.56/22.16 (~v104(constB50)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8749, 603, 8671, 8570])).
% 33.56/22.16 tff(8751,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8752,plain,
% 33.56/22.16 (((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50)) <=> ((~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8753,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | v102(constB50)))),
% 33.56/22.16 inference(monotonicity,[status(thm)],[8752])).
% 33.56/22.16 tff(8754,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))),
% 33.56/22.16 inference(transitivity,[status(thm)],[8753, 8751])).
% 33.56/22.16 tff(8755,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8756,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | v102(constB50)),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8755, 8754])).
% 33.56/22.16 tff(8757,plain,
% 33.56/22.16 (v104(constB50) | v102(constB50)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8756, 617, 8671])).
% 33.56/22.16 tff(8758,plain,
% 33.56/22.16 (v102(constB50)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8757, 8750])).
% 33.56/22.16 tff(8759,plain,
% 33.56/22.16 (v1(constB50) <=> v1(constB50)),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8760,axiom,(v1(constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 33.56/22.16 tff(8761,plain,
% 33.56/22.16 (v1(constB50)),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8760, 8759])).
% 33.56/22.16 tff(8762,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8763,plain,
% 33.56/22.16 (((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50))) <=> ((~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8764,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50))))),
% 33.56/22.16 inference(monotonicity,[status(thm)],[8763])).
% 33.56/22.16 tff(8765,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))),
% 33.56/22.16 inference(transitivity,[status(thm)],[8764, 8762])).
% 33.56/22.16 tff(8766,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8767,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50))),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8766, 8765])).
% 33.56/22.16 tff(8768,plain,
% 33.56/22.16 (v101(constB50) | (~v102(constB50))),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8767, 638, 8671, 8761])).
% 33.56/22.16 tff(8769,plain,
% 33.56/22.16 (v101(constB50)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8768, 8758])).
% 33.56/22.16 tff(8770,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8771,plain,
% 33.56/22.16 (((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50)) <=> ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8772,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))))),
% 33.56/22.16 inference(monotonicity,[status(thm)],[8771])).
% 33.56/22.16 tff(8773,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 33.56/22.16 inference(transitivity,[status(thm)],[8772, 8770])).
% 33.56/22.16 tff(8774,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8775,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8774, 8773])).
% 33.56/22.16 tff(8776,plain,
% 33.56/22.16 (v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8775, 656, 8671])).
% 33.56/22.16 tff(8777,plain,
% 33.56/22.16 (v100(constB50) | (~v110(constB50))),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8776, 8769])).
% 33.56/22.16 tff(8778,plain,
% 33.56/22.16 (v100(constB50)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8777, 8746])).
% 33.56/22.16 tff(8779,plain,
% 33.56/22.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8780,plain,
% 33.56/22.16 (((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2)) <=> ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8781,plain,
% 33.56/22.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50))))),
% 33.56/22.16 inference(monotonicity,[status(thm)],[8780])).
% 33.56/22.16 tff(8782,plain,
% 33.56/22.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 33.56/22.16 inference(transitivity,[status(thm)],[8781, 8779])).
% 33.56/22.16 tff(8783,plain,
% 33.56/22.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8784,plain,
% 33.56/22.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50))),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8783, 8782])).
% 33.56/22.16 tff(8785,plain,
% 33.56/22.16 (~v90(constB50, bitIndex2)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8784, 722, 8778, 8676])).
% 33.56/22.16 tff(8786,plain,
% 33.56/22.16 ((~v1(constB51)) <=> (~v1(constB51))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8787,axiom,(~v1(constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 33.56/22.16 tff(8788,plain,
% 33.56/22.16 (~v1(constB51)),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8787, 8786])).
% 33.56/22.16 tff(8789,plain,
% 33.56/22.16 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8790,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 33.56/22.16 tff(8791,plain,
% 33.56/22.16 (nextState(constB50, constB51)),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8790, 8789])).
% 33.56/22.16 tff(8792,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8793,plain,
% 33.56/22.16 (((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 33.56/22.16 inference(rewrite,[status(thm)],[])).
% 33.56/22.16 tff(8794,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))))),
% 33.56/22.16 inference(monotonicity,[status(thm)],[8793])).
% 33.56/22.16 tff(8795,plain,
% 33.56/22.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 33.56/22.16 inference(transitivity,[status(thm)],[8794, 8792])).
% 33.56/22.16 tff(8796,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))),
% 33.56/22.16 inference(quant_inst,[status(thm)],[])).
% 33.56/22.16 tff(8797,plain,
% 33.56/22.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))),
% 33.56/22.16 inference(modus_ponens,[status(thm)],[8796, 8795])).
% 33.56/22.16 tff(8798,plain,
% 33.56/22.16 (~v101(constB51)),
% 33.56/22.16 inference(unit_resolution,[status(thm)],[8797, 381, 8791, 8788])).
% 33.56/22.17 tff(8799,plain,
% 33.56/22.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8800,plain,
% 33.56/22.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 33.56/22.17 inference(quant_inst,[status(thm)],[])).
% 33.56/22.17 tff(8801,plain,
% 33.56/22.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51))),
% 33.56/22.17 inference(modus_ponens,[status(thm)],[8800, 8799])).
% 33.56/22.17 tff(8802,plain,
% 33.56/22.17 (v101(constB51) | (~v100(constB51))),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8801, 398, 8791])).
% 33.56/22.17 tff(8803,plain,
% 33.56/22.17 (~v100(constB51)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8802, 8798])).
% 33.56/22.17 tff(8804,plain,
% 33.56/22.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8805,plain,
% 33.56/22.17 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))) <=> (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8806,plain,
% 33.56/22.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2))))),
% 33.56/22.17 inference(monotonicity,[status(thm)],[8805])).
% 33.56/22.17 tff(8807,plain,
% 33.56/22.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 33.56/22.17 inference(transitivity,[status(thm)],[8806, 8804])).
% 33.56/22.17 tff(8808,plain,
% 33.56/22.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 33.56/22.17 inference(quant_inst,[status(thm)],[])).
% 33.56/22.17 tff(8809,plain,
% 33.56/22.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 33.56/22.17 inference(modus_ponens,[status(thm)],[8808, 8807])).
% 33.56/22.17 tff(8810,plain,
% 33.56/22.17 (v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8809, 413, 8791])).
% 33.56/22.17 tff(8811,plain,
% 33.56/22.17 (v90(constB50, bitIndex2) | (~v90(constB51, bitIndex2))),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8810, 8803])).
% 33.56/22.17 tff(8812,plain,
% 33.56/22.17 (~v90(constB51, bitIndex2)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8811, 8785])).
% 33.56/22.17 tff(8813,plain,
% 33.56/22.17 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB49, bitIndex1)) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB49, bitIndex1)) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8814,plain,
% 33.56/22.17 ((v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1))) <=> ((~v130(constB49, bitIndex1)) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8815,plain,
% 33.56/22.17 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB49, bitIndex1)) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49)))),
% 33.56/22.17 inference(monotonicity,[status(thm)],[8814])).
% 33.56/22.17 tff(8816,plain,
% 33.56/22.17 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB49, bitIndex1)) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49))),
% 33.56/22.17 inference(transitivity,[status(thm)],[8815, 8813])).
% 33.56/22.17 tff(8817,plain,
% 33.56/22.17 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))),
% 33.56/22.17 inference(quant_inst,[status(thm)],[])).
% 33.56/22.17 tff(8818,plain,
% 33.56/22.17 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB49, bitIndex1)) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49)),
% 33.56/22.17 inference(modus_ponens,[status(thm)],[8817, 8816])).
% 33.56/22.17 tff(8819,plain,
% 33.56/22.17 (~v130(constB49, bitIndex1)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8818, 2448, 8649, 8645, 8610, 8606, 8602, 8598])).
% 33.56/22.17 tff(8820,plain,
% 33.56/22.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8821,plain,
% 33.56/22.17 ((v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1))) <=> ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8822,plain,
% 33.56/22.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1)))),
% 33.56/22.17 inference(monotonicity,[status(thm)],[8821])).
% 33.56/22.17 tff(8823,plain,
% 33.56/22.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 33.56/22.17 inference(transitivity,[status(thm)],[8822, 8820])).
% 33.56/22.17 tff(8824,plain,
% 33.56/22.17 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))),
% 33.56/22.17 inference(quant_inst,[status(thm)],[])).
% 33.56/22.17 tff(8825,plain,
% 33.56/22.17 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1)),
% 33.56/22.17 inference(modus_ponens,[status(thm)],[8824, 8823])).
% 33.56/22.17 tff(8826,plain,
% 33.56/22.17 ((~v127(constB49, bitIndex1)) | v130(constB49, bitIndex1)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8825, 781, 8660])).
% 33.56/22.17 tff(8827,plain,
% 33.56/22.17 (~v127(constB49, bitIndex1)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8826, 8819])).
% 33.56/22.17 tff(8828,plain,
% 33.56/22.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8829,plain,
% 33.56/22.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))),
% 33.56/22.17 inference(quant_inst,[status(thm)],[])).
% 33.56/22.17 tff(8830,plain,
% 33.56/22.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1))),
% 33.56/22.17 inference(modus_ponens,[status(thm)],[8829, 8828])).
% 33.56/22.17 tff(8831,plain,
% 33.56/22.17 (v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1))),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8830, 799, 8671])).
% 33.56/22.17 tff(8832,plain,
% 33.56/22.17 (~v129(constB50, bitIndex1)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8831, 8827])).
% 33.56/22.17 tff(8833,plain,
% 33.56/22.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8834,plain,
% 33.56/22.17 (((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1)) <=> ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8835,plain,
% 33.56/22.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50))))),
% 33.56/22.17 inference(monotonicity,[status(thm)],[8834])).
% 33.56/22.17 tff(8836,plain,
% 33.56/22.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 33.56/22.17 inference(transitivity,[status(thm)],[8835, 8833])).
% 33.56/22.17 tff(8837,plain,
% 33.56/22.17 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))),
% 33.56/22.17 inference(quant_inst,[status(thm)],[])).
% 33.56/22.17 tff(8838,plain,
% 33.56/22.17 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50))),
% 33.56/22.17 inference(modus_ponens,[status(thm)],[8837, 8836])).
% 33.56/22.17 tff(8839,plain,
% 33.56/22.17 (~v90(constB50, bitIndex1)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8838, 814, 8778, 8832])).
% 33.56/22.17 tff(8840,plain,
% 33.56/22.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8841,plain,
% 33.56/22.17 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1))) <=> (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8842,plain,
% 33.56/22.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1))))),
% 33.56/22.17 inference(monotonicity,[status(thm)],[8841])).
% 33.56/22.17 tff(8843,plain,
% 33.56/22.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 33.56/22.17 inference(transitivity,[status(thm)],[8842, 8840])).
% 33.56/22.17 tff(8844,plain,
% 33.56/22.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 33.56/22.17 inference(quant_inst,[status(thm)],[])).
% 33.56/22.17 tff(8845,plain,
% 33.56/22.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1))),
% 33.56/22.17 inference(modus_ponens,[status(thm)],[8844, 8843])).
% 33.56/22.17 tff(8846,plain,
% 33.56/22.17 (v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1))),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8845, 434, 8791])).
% 33.56/22.17 tff(8847,plain,
% 33.56/22.17 (v90(constB50, bitIndex1) | (~v90(constB51, bitIndex1))),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8846, 8803])).
% 33.56/22.17 tff(8848,plain,
% 33.56/22.17 (~v90(constB51, bitIndex1)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8847, 8839])).
% 33.56/22.17 tff(8849,plain,
% 33.56/22.17 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | v130(constB49, bitIndex0))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8850,plain,
% 33.56/22.17 ((v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0)) <=> (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | v130(constB49, bitIndex0))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8851,plain,
% 33.56/22.17 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | v130(constB49, bitIndex0)))),
% 33.56/22.17 inference(monotonicity,[status(thm)],[8850])).
% 33.56/22.17 tff(8852,plain,
% 33.56/22.17 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | v130(constB49, bitIndex0))),
% 33.56/22.17 inference(transitivity,[status(thm)],[8851, 8849])).
% 33.56/22.17 tff(8853,plain,
% 33.56/22.17 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))),
% 33.56/22.17 inference(quant_inst,[status(thm)],[])).
% 33.56/22.17 tff(8854,plain,
% 33.56/22.17 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | v130(constB49, bitIndex0)),
% 33.56/22.17 inference(modus_ponens,[status(thm)],[8853, 8852])).
% 33.56/22.17 tff(8855,plain,
% 33.56/22.17 (v130(constB49, bitIndex0)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8854, 2495, 8649, 8645, 8610, 8606, 8602, 8598])).
% 33.56/22.17 tff(8856,plain,
% 33.56/22.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8857,plain,
% 33.56/22.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 33.56/22.17 inference(quant_inst,[status(thm)],[])).
% 33.56/22.17 tff(8858,plain,
% 33.56/22.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 33.56/22.17 inference(modus_ponens,[status(thm)],[8857, 8856])).
% 33.56/22.17 tff(8859,plain,
% 33.56/22.17 ((~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8858, 855, 8660])).
% 33.56/22.17 tff(8860,plain,
% 33.56/22.17 (v127(constB49, bitIndex0)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8859, 8855])).
% 33.56/22.17 tff(8861,plain,
% 33.56/22.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8862,plain,
% 33.56/22.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 33.56/22.17 inference(quant_inst,[status(thm)],[])).
% 33.56/22.17 tff(8863,plain,
% 33.56/22.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 33.56/22.17 inference(modus_ponens,[status(thm)],[8862, 8861])).
% 33.56/22.17 tff(8864,plain,
% 33.56/22.17 ((~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8863, 870, 8671])).
% 33.56/22.17 tff(8865,plain,
% 33.56/22.17 (v129(constB50, bitIndex0)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8864, 8860])).
% 33.56/22.17 tff(8866,plain,
% 33.56/22.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8867,plain,
% 33.56/22.17 ((v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0))) <=> (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8868,plain,
% 33.56/22.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))))),
% 33.56/22.17 inference(monotonicity,[status(thm)],[8867])).
% 33.56/22.17 tff(8869,plain,
% 33.56/22.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 33.56/22.17 inference(transitivity,[status(thm)],[8868, 8866])).
% 33.56/22.17 tff(8870,plain,
% 33.56/22.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))),
% 33.56/22.17 inference(quant_inst,[status(thm)],[])).
% 33.56/22.17 tff(8871,plain,
% 33.56/22.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))),
% 33.56/22.17 inference(modus_ponens,[status(thm)],[8870, 8869])).
% 33.56/22.17 tff(8872,plain,
% 33.56/22.17 (v90(constB50, bitIndex0)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8871, 885, 8778, 8865])).
% 33.56/22.17 tff(8873,plain,
% 33.56/22.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8874,plain,
% 33.56/22.17 (((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)) <=> ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8875,plain,
% 33.56/22.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0)))),
% 33.56/22.17 inference(monotonicity,[status(thm)],[8874])).
% 33.56/22.17 tff(8876,plain,
% 33.56/22.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 33.56/22.17 inference(transitivity,[status(thm)],[8875, 8873])).
% 33.56/22.17 tff(8877,plain,
% 33.56/22.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))),
% 33.56/22.17 inference(quant_inst,[status(thm)],[])).
% 33.56/22.17 tff(8878,plain,
% 33.56/22.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0)),
% 33.56/22.17 inference(modus_ponens,[status(thm)],[8877, 8876])).
% 33.56/22.17 tff(8879,plain,
% 33.56/22.17 ((~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8878, 903, 8791])).
% 33.56/22.17 tff(8880,plain,
% 33.56/22.17 ((~v90(constB50, bitIndex0)) | v90(constB51, bitIndex0)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8879, 8803])).
% 33.56/22.17 tff(8881,plain,
% 33.56/22.17 (v90(constB51, bitIndex0)),
% 33.56/22.17 inference(unit_resolution,[status(thm)],[8880, 8872])).
% 33.56/22.17 tff(8882,plain,
% 33.56/22.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8883,plain,
% 33.56/22.17 (((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2)) <=> ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 33.56/22.17 inference(rewrite,[status(thm)],[])).
% 33.56/22.17 tff(8884,plain,
% 33.56/22.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51)))),
% 33.56/22.17 inference(monotonicity,[status(thm)],[8883])).
% 33.56/22.17 tff(8885,plain,
% 33.56/22.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 33.56/22.17 inference(transitivity,[status(thm)],[8884, 8882])).
% 33.56/22.18 tff(8886,plain,
% 33.56/22.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2))),
% 33.56/22.18 inference(quant_inst,[status(thm)],[])).
% 33.56/22.18 tff(8887,plain,
% 33.56/22.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51)),
% 33.56/22.18 inference(modus_ponens,[status(thm)],[8886, 8885])).
% 33.56/22.18 tff(8888,plain,
% 33.56/22.18 (v120(constB51)),
% 33.56/22.18 inference(unit_resolution,[status(thm)],[8887, 922, 8881, 8848, 8812])).
% 33.56/22.18 tff(8889,plain,
% 33.56/22.18 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB51) | (~v120(constB51)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB51) | (~v120(constB51)))),
% 33.56/22.18 inference(rewrite,[status(thm)],[])).
% 33.56/22.18 tff(8890,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB51) | (~v120(constB51)))),
% 33.56/22.18 inference(quant_inst,[status(thm)],[])).
% 33.56/22.18 tff(8891,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB51) | (~v120(constB51))),
% 33.56/22.18 inference(modus_ponens,[status(thm)],[8890, 8889])).
% 33.56/22.18 tff(8892,plain,
% 33.56/22.18 (v118(constB51)),
% 33.56/22.18 inference(unit_resolution,[status(thm)],[8891, 936, 8888])).
% 33.56/22.18 tff(8893,plain,
% 33.56/22.18 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB51) | (~v118(constB51)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB51) | (~v118(constB51)))),
% 33.56/22.18 inference(rewrite,[status(thm)],[])).
% 33.56/22.18 tff(8894,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB51) | (~v118(constB51)))),
% 33.56/22.18 inference(quant_inst,[status(thm)],[])).
% 33.56/22.18 tff(8895,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB51) | (~v118(constB51))),
% 33.56/22.18 inference(modus_ponens,[status(thm)],[8894, 8893])).
% 33.56/22.18 tff(8896,plain,
% 33.56/22.18 (v117(constB51)),
% 33.56/22.18 inference(unit_resolution,[status(thm)],[8895, 498, 8892])).
% 33.56/22.18 tff(8897,plain,
% 33.56/22.18 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB51) | (~v117(constB51)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB51) | (~v117(constB51)))),
% 33.56/22.18 inference(rewrite,[status(thm)],[])).
% 33.56/22.18 tff(8898,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB51) | (~v117(constB51)))),
% 33.56/22.18 inference(quant_inst,[status(thm)],[])).
% 33.56/22.18 tff(8899,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB51) | (~v117(constB51))),
% 33.56/22.18 inference(modus_ponens,[status(thm)],[8898, 8897])).
% 33.56/22.18 tff(8900,plain,
% 33.56/22.18 (v116(constB51)),
% 33.56/22.18 inference(unit_resolution,[status(thm)],[8899, 509, 8896])).
% 33.56/22.18 tff(8901,plain,
% 33.56/22.18 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB51) | (~v116(constB51)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB51) | (~v116(constB51)))),
% 33.56/22.18 inference(rewrite,[status(thm)],[])).
% 33.56/22.18 tff(8902,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB51) | (~v116(constB51)))),
% 33.56/22.18 inference(quant_inst,[status(thm)],[])).
% 33.56/22.18 tff(8903,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB51) | (~v116(constB51))),
% 33.56/22.18 inference(modus_ponens,[status(thm)],[8902, 8901])).
% 33.56/22.18 tff(8904,plain,
% 33.56/22.18 (v115(constB51)),
% 33.56/22.18 inference(unit_resolution,[status(thm)],[8903, 520, 8900])).
% 33.56/22.18 tff(8905,plain,
% 33.56/22.18 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB51) | (~v115(constB51)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB51) | (~v115(constB51)))),
% 33.56/22.18 inference(rewrite,[status(thm)],[])).
% 33.56/22.18 tff(8906,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB51) | (~v115(constB51)))),
% 33.56/22.18 inference(quant_inst,[status(thm)],[])).
% 33.56/22.18 tff(8907,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB51) | (~v115(constB51))),
% 33.56/22.18 inference(modus_ponens,[status(thm)],[8906, 8905])).
% 33.56/22.18 tff(8908,plain,
% 33.56/22.18 (v114(constB51)),
% 33.56/22.18 inference(unit_resolution,[status(thm)],[8907, 531, 8904])).
% 33.56/22.18 tff(8909,plain,
% 33.56/22.18 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB51) | (~v114(constB51)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB51) | (~v114(constB51)))),
% 33.56/22.18 inference(rewrite,[status(thm)],[])).
% 33.56/22.18 tff(8910,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB51) | (~v114(constB51)))),
% 33.56/22.18 inference(quant_inst,[status(thm)],[])).
% 33.56/22.18 tff(8911,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB51) | (~v114(constB51))),
% 33.56/22.18 inference(modus_ponens,[status(thm)],[8910, 8909])).
% 33.56/22.18 tff(8912,plain,
% 33.56/22.18 (v113(constB51)),
% 33.56/22.18 inference(unit_resolution,[status(thm)],[8911, 542, 8908])).
% 33.56/22.18 tff(8913,assumption,(v26(constB51)), introduced(assumption)).
% 33.56/22.18 tff(8914,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB51))),
% 33.56/22.18 inference(quant_inst,[status(thm)],[])).
% 33.56/22.18 tff(8915,plain,
% 33.56/22.18 ($false),
% 33.56/22.18 inference(unit_resolution,[status(thm)],[8914, 120, 8913])).
% 33.56/22.18 tff(8916,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 33.56/22.18 tff(8917,plain,
% 33.56/22.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 33.56/22.18 inference(rewrite,[status(thm)],[])).
% 33.56/22.18 tff(8918,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 33.56/22.18 inference(quant_inst,[status(thm)],[])).
% 33.56/22.18 tff(8919,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | (~v113(constB51)) | v112(constB51)),
% 33.56/22.18 inference(modus_ponens,[status(thm)],[8918, 8917])).
% 33.56/22.18 tff(8920,plain,
% 33.56/22.18 ((~v113(constB51)) | v112(constB51)),
% 33.56/22.18 inference(unit_resolution,[status(thm)],[8919, 556, 8916])).
% 33.56/22.18 tff(8921,plain,
% 33.56/22.18 (v112(constB51)),
% 33.56/22.18 inference(unit_resolution,[status(thm)],[8920, 8912])).
% 33.56/22.18 tff(8922,plain,
% 33.56/22.18 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB51) | (~v112(constB51)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB51) | (~v112(constB51)))),
% 33.56/22.18 inference(rewrite,[status(thm)],[])).
% 33.56/22.18 tff(8923,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB51) | (~v112(constB51)))),
% 33.56/22.18 inference(quant_inst,[status(thm)],[])).
% 33.56/22.18 tff(8924,plain,
% 33.56/22.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB51) | (~v112(constB51))),
% 33.56/22.18 inference(modus_ponens,[status(thm)],[8923, 8922])).
% 33.56/22.18 tff(8925,plain,
% 33.56/22.18 (v108(constB51)),
% 33.56/22.18 inference(unit_resolution,[status(thm)],[8924, 568, 8921])).
% 33.56/22.18 tff(8926,plain,
% 33.56/22.18 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 33.56/22.18 inference(rewrite,[status(thm)],[])).
% 33.56/22.18 tff(8927,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 33.56/22.18 tff(8928,plain,
% 33.56/22.18 (nextState(constB51, constB52)),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[8927, 8926])).
% 33.59/22.18 tff(8929,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8930,plain,
% 33.59/22.18 (((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52)) <=> ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8931,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))))),
% 33.59/22.18 inference(monotonicity,[status(thm)],[8930])).
% 33.59/22.18 tff(8932,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 33.59/22.18 inference(transitivity,[status(thm)],[8931, 8929])).
% 33.59/22.18 tff(8933,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))),
% 33.59/22.18 inference(quant_inst,[status(thm)],[])).
% 33.59/22.18 tff(8934,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[8933, 8932])).
% 33.59/22.18 tff(8935,plain,
% 33.59/22.18 (v110(constB52) | (~v108(constB51))),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8934, 585, 8928])).
% 33.59/22.18 tff(8936,plain,
% 33.59/22.18 (v110(constB52)),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8935, 8925])).
% 33.59/22.18 tff(8937,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8938,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 33.59/22.18 inference(quant_inst,[status(thm)],[])).
% 33.59/22.18 tff(8939,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52))),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[8938, 8937])).
% 33.59/22.18 tff(8940,plain,
% 33.59/22.18 (~v104(constB52)),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8939, 603, 8928, 8788])).
% 33.59/22.18 tff(8941,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8942,plain,
% 33.59/22.18 (((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52)) <=> ((~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8943,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | v102(constB52)))),
% 33.59/22.18 inference(monotonicity,[status(thm)],[8942])).
% 33.59/22.18 tff(8944,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))),
% 33.59/22.18 inference(transitivity,[status(thm)],[8943, 8941])).
% 33.59/22.18 tff(8945,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 33.59/22.18 inference(quant_inst,[status(thm)],[])).
% 33.59/22.18 tff(8946,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | v102(constB52)),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[8945, 8944])).
% 33.59/22.18 tff(8947,plain,
% 33.59/22.18 (v104(constB52) | v102(constB52)),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8946, 617, 8928])).
% 33.59/22.18 tff(8948,plain,
% 33.59/22.18 (v102(constB52)),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8947, 8940])).
% 33.59/22.18 tff(8949,plain,
% 33.59/22.18 (v1(constB52) <=> v1(constB52)),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8950,axiom,(v1(constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 33.59/22.18 tff(8951,plain,
% 33.59/22.18 (v1(constB52)),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[8950, 8949])).
% 33.59/22.18 tff(8952,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8953,plain,
% 33.59/22.18 (((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52))) <=> ((~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8954,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52))))),
% 33.59/22.18 inference(monotonicity,[status(thm)],[8953])).
% 33.59/22.18 tff(8955,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))),
% 33.59/22.18 inference(transitivity,[status(thm)],[8954, 8952])).
% 33.59/22.18 tff(8956,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 33.59/22.18 inference(quant_inst,[status(thm)],[])).
% 33.59/22.18 tff(8957,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52))),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[8956, 8955])).
% 33.59/22.18 tff(8958,plain,
% 33.59/22.18 (v101(constB52) | (~v102(constB52))),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8957, 638, 8928, 8951])).
% 33.59/22.18 tff(8959,plain,
% 33.59/22.18 (v101(constB52)),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8958, 8948])).
% 33.59/22.18 tff(8960,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8961,plain,
% 33.59/22.18 (((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52)) <=> ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8962,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))))),
% 33.59/22.18 inference(monotonicity,[status(thm)],[8961])).
% 33.59/22.18 tff(8963,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 33.59/22.18 inference(transitivity,[status(thm)],[8962, 8960])).
% 33.59/22.18 tff(8964,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))),
% 33.59/22.18 inference(quant_inst,[status(thm)],[])).
% 33.59/22.18 tff(8965,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[8964, 8963])).
% 33.59/22.18 tff(8966,plain,
% 33.59/22.18 (v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8965, 656, 8928])).
% 33.59/22.18 tff(8967,plain,
% 33.59/22.18 (v100(constB52) | (~v110(constB52))),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8966, 8959])).
% 33.59/22.18 tff(8968,plain,
% 33.59/22.18 (v100(constB52)),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8967, 8936])).
% 33.59/22.18 tff(8969,plain,
% 33.59/22.18 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB51)) | (~v130(constB51, bitIndex2)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8970,plain,
% 33.59/22.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex2)))),
% 33.59/22.18 inference(quant_inst,[status(thm)],[])).
% 33.59/22.18 tff(8971,plain,
% 33.59/22.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB51)) | (~v130(constB51, bitIndex2))),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[8970, 8969])).
% 33.59/22.18 tff(8972,plain,
% 33.59/22.18 (~v130(constB51, bitIndex2)),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8971, 1025, 8888])).
% 33.59/22.18 tff(8973,plain,
% 33.59/22.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8974,plain,
% 33.59/22.18 ((v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2))) <=> ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8975,plain,
% 33.59/22.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2)))),
% 33.59/22.18 inference(monotonicity,[status(thm)],[8974])).
% 33.59/22.18 tff(8976,plain,
% 33.59/22.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 33.59/22.18 inference(transitivity,[status(thm)],[8975, 8973])).
% 33.59/22.18 tff(8977,plain,
% 33.59/22.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))),
% 33.59/22.18 inference(quant_inst,[status(thm)],[])).
% 33.59/22.18 tff(8978,plain,
% 33.59/22.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2)),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[8977, 8976])).
% 33.59/22.18 tff(8979,plain,
% 33.59/22.18 ((~v127(constB51, bitIndex2)) | v130(constB51, bitIndex2)),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8978, 689, 8916])).
% 33.59/22.18 tff(8980,plain,
% 33.59/22.18 (~v127(constB51, bitIndex2)),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8979, 8972])).
% 33.59/22.18 tff(8981,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8982,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))),
% 33.59/22.18 inference(quant_inst,[status(thm)],[])).
% 33.59/22.18 tff(8983,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2))),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[8982, 8981])).
% 33.59/22.18 tff(8984,plain,
% 33.59/22.18 (v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2))),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8983, 707, 8928])).
% 33.59/22.18 tff(8985,plain,
% 33.59/22.18 (~v129(constB52, bitIndex2)),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8984, 8980])).
% 33.59/22.18 tff(8986,plain,
% 33.59/22.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8987,plain,
% 33.59/22.18 (((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2)) <=> ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8988,plain,
% 33.59/22.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52))))),
% 33.59/22.18 inference(monotonicity,[status(thm)],[8987])).
% 33.59/22.18 tff(8989,plain,
% 33.59/22.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 33.59/22.18 inference(transitivity,[status(thm)],[8988, 8986])).
% 33.59/22.18 tff(8990,plain,
% 33.59/22.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2))),
% 33.59/22.18 inference(quant_inst,[status(thm)],[])).
% 33.59/22.18 tff(8991,plain,
% 33.59/22.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52))),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[8990, 8989])).
% 33.59/22.18 tff(8992,plain,
% 33.59/22.18 ((~v90(constB52, bitIndex2)) | (~v100(constB52))),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8991, 722, 8985])).
% 33.59/22.18 tff(8993,plain,
% 33.59/22.18 (~v90(constB52, bitIndex2)),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[8992, 8968])).
% 33.59/22.18 tff(8994,plain,
% 33.59/22.18 ((~v1(constB53)) <=> (~v1(constB53))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8995,axiom,(~v1(constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 33.59/22.18 tff(8996,plain,
% 33.59/22.18 (~v1(constB53)),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[8995, 8994])).
% 33.59/22.18 tff(8997,plain,
% 33.59/22.18 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(8998,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 33.59/22.18 tff(8999,plain,
% 33.59/22.18 (nextState(constB52, constB53)),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[8998, 8997])).
% 33.59/22.18 tff(9000,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(9001,plain,
% 33.59/22.18 (((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(9002,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))))),
% 33.59/22.18 inference(monotonicity,[status(thm)],[9001])).
% 33.59/22.18 tff(9003,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 33.59/22.18 inference(transitivity,[status(thm)],[9002, 9000])).
% 33.59/22.18 tff(9004,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))),
% 33.59/22.18 inference(quant_inst,[status(thm)],[])).
% 33.59/22.18 tff(9005,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[9004, 9003])).
% 33.59/22.18 tff(9006,plain,
% 33.59/22.18 (~v101(constB53)),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[9005, 381, 8999, 8996])).
% 33.59/22.18 tff(9007,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(9008,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 33.59/22.18 inference(quant_inst,[status(thm)],[])).
% 33.59/22.18 tff(9009,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53))),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[9008, 9007])).
% 33.59/22.18 tff(9010,plain,
% 33.59/22.18 (v101(constB53) | (~v100(constB53))),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[9009, 398, 8999])).
% 33.59/22.18 tff(9011,plain,
% 33.59/22.18 (~v100(constB53)),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[9010, 9006])).
% 33.59/22.18 tff(9012,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(9013,plain,
% 33.59/22.18 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2))) <=> (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(9014,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2))))),
% 33.59/22.18 inference(monotonicity,[status(thm)],[9013])).
% 33.59/22.18 tff(9015,plain,
% 33.59/22.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 33.59/22.18 inference(transitivity,[status(thm)],[9014, 9012])).
% 33.59/22.18 tff(9016,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 33.59/22.18 inference(quant_inst,[status(thm)],[])).
% 33.59/22.18 tff(9017,plain,
% 33.59/22.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2))),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[9016, 9015])).
% 33.59/22.18 tff(9018,plain,
% 33.59/22.18 (v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2))),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[9017, 413, 8999])).
% 33.59/22.18 tff(9019,plain,
% 33.59/22.18 (v90(constB52, bitIndex2) | (~v90(constB53, bitIndex2))),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[9018, 9011])).
% 33.59/22.18 tff(9020,plain,
% 33.59/22.18 (~v90(constB53, bitIndex2)),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[9019, 8993])).
% 33.59/22.18 tff(9021,plain,
% 33.59/22.18 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB51)) | v130(constB51, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB51)) | v130(constB51, bitIndex1))),
% 33.59/22.18 inference(rewrite,[status(thm)],[])).
% 33.59/22.18 tff(9022,plain,
% 33.59/22.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB51)) | v130(constB51, bitIndex1))),
% 33.59/22.18 inference(quant_inst,[status(thm)],[])).
% 33.59/22.18 tff(9023,plain,
% 33.59/22.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB51)) | v130(constB51, bitIndex1)),
% 33.59/22.18 inference(modus_ponens,[status(thm)],[9022, 9021])).
% 33.59/22.18 tff(9024,plain,
% 33.59/22.18 (v130(constB51, bitIndex1)),
% 33.59/22.18 inference(unit_resolution,[status(thm)],[9023, 1087, 8888])).
% 33.59/22.18 tff(9025,plain,
% 33.59/22.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9026,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9027,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1)),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9026, 9025])).
% 33.59/22.19 tff(9028,plain,
% 33.59/22.19 ((~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9027, 1101, 8916])).
% 33.59/22.19 tff(9029,plain,
% 33.59/22.19 (v127(constB51, bitIndex1)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9028, 9024])).
% 33.59/22.19 tff(9030,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9031,plain,
% 33.59/22.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9032,plain,
% 33.59/22.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1)),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9031, 9030])).
% 33.59/22.19 tff(9033,plain,
% 33.59/22.19 ((~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9032, 1116, 8928])).
% 33.59/22.19 tff(9034,plain,
% 33.59/22.19 (v129(constB52, bitIndex1)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9033, 9029])).
% 33.59/22.19 tff(9035,plain,
% 33.59/22.19 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9036,plain,
% 33.59/22.19 ((v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1))) <=> (v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9037,plain,
% 33.59/22.19 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52))))),
% 33.59/22.19 inference(monotonicity,[status(thm)],[9036])).
% 33.59/22.19 tff(9038,plain,
% 33.59/22.19 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))),
% 33.59/22.19 inference(transitivity,[status(thm)],[9037, 9035])).
% 33.59/22.19 tff(9039,plain,
% 33.59/22.19 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1)))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9040,plain,
% 33.59/22.19 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52))),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9039, 9038])).
% 33.59/22.19 tff(9041,plain,
% 33.59/22.19 (v90(constB52, bitIndex1) | (~v100(constB52))),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9040, 1131, 9034])).
% 33.59/22.19 tff(9042,plain,
% 33.59/22.19 (v90(constB52, bitIndex1)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9041, 8968])).
% 33.59/22.19 tff(9043,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9044,plain,
% 33.59/22.19 (((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1)) <=> ((~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9045,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1)))),
% 33.59/22.19 inference(monotonicity,[status(thm)],[9044])).
% 33.59/22.19 tff(9046,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))),
% 33.59/22.19 inference(transitivity,[status(thm)],[9045, 9043])).
% 33.59/22.19 tff(9047,plain,
% 33.59/22.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9048,plain,
% 33.59/22.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1)),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9047, 9046])).
% 33.59/22.19 tff(9049,plain,
% 33.59/22.19 ((~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9048, 1149, 8999])).
% 33.59/22.19 tff(9050,plain,
% 33.59/22.19 ((~v90(constB52, bitIndex1)) | v90(constB53, bitIndex1)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9049, 9011])).
% 33.59/22.19 tff(9051,plain,
% 33.59/22.19 (v90(constB53, bitIndex1)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9050, 9042])).
% 33.59/22.19 tff(9052,plain,
% 33.59/22.19 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB51)) | (~v130(constB51, bitIndex0)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9053,plain,
% 33.59/22.19 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex0)))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9054,plain,
% 33.59/22.19 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB51)) | (~v130(constB51, bitIndex0))),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9053, 9052])).
% 33.59/22.19 tff(9055,plain,
% 33.59/22.19 (~v130(constB51, bitIndex0)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9054, 1168, 8888])).
% 33.59/22.19 tff(9056,plain,
% 33.59/22.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9057,plain,
% 33.59/22.19 ((v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0))) <=> ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9058,plain,
% 33.59/22.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)))),
% 33.59/22.19 inference(monotonicity,[status(thm)],[9057])).
% 33.59/22.19 tff(9059,plain,
% 33.59/22.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 33.59/22.19 inference(transitivity,[status(thm)],[9058, 9056])).
% 33.59/22.19 tff(9060,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9061,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9060, 9059])).
% 33.59/22.19 tff(9062,plain,
% 33.59/22.19 ((~v127(constB51, bitIndex0)) | v130(constB51, bitIndex0)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9061, 1182, 8916])).
% 33.59/22.19 tff(9063,plain,
% 33.59/22.19 (~v127(constB51, bitIndex0)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9062, 9055])).
% 33.59/22.19 tff(9064,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9065,plain,
% 33.59/22.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9066,plain,
% 33.59/22.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9065, 9064])).
% 33.59/22.19 tff(9067,plain,
% 33.59/22.19 (v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9066, 1200, 8928])).
% 33.59/22.19 tff(9068,plain,
% 33.59/22.19 (~v129(constB52, bitIndex0)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9067, 9063])).
% 33.59/22.19 tff(9069,plain,
% 33.59/22.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9070,plain,
% 33.59/22.19 (((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0)) <=> ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9071,plain,
% 33.59/22.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))))),
% 33.59/22.19 inference(monotonicity,[status(thm)],[9070])).
% 33.59/22.19 tff(9072,plain,
% 33.59/22.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 33.59/22.19 inference(transitivity,[status(thm)],[9071, 9069])).
% 33.59/22.19 tff(9073,plain,
% 33.59/22.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9074,plain,
% 33.59/22.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9073, 9072])).
% 33.59/22.19 tff(9075,plain,
% 33.59/22.19 ((~v90(constB52, bitIndex0)) | (~v100(constB52))),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9074, 1215, 9068])).
% 33.59/22.19 tff(9076,plain,
% 33.59/22.19 (~v90(constB52, bitIndex0)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9075, 8968])).
% 33.59/22.19 tff(9077,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9078,plain,
% 33.59/22.19 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))) <=> (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9079,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0))))),
% 33.59/22.19 inference(monotonicity,[status(thm)],[9078])).
% 33.59/22.19 tff(9080,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 33.59/22.19 inference(transitivity,[status(thm)],[9079, 9077])).
% 33.59/22.19 tff(9081,plain,
% 33.59/22.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9082,plain,
% 33.59/22.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9081, 9080])).
% 33.59/22.19 tff(9083,plain,
% 33.59/22.19 (v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9082, 455, 8999])).
% 33.59/22.19 tff(9084,plain,
% 33.59/22.19 (v90(constB52, bitIndex0) | (~v90(constB53, bitIndex0))),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9083, 9011])).
% 33.59/22.19 tff(9085,plain,
% 33.59/22.19 (~v90(constB53, bitIndex0)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9084, 9076])).
% 33.59/22.19 tff(9086,plain,
% 33.59/22.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9087,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9088,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53)),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9087, 9086])).
% 33.59/22.19 tff(9089,plain,
% 33.59/22.19 (v121(constB53)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9088, 1242, 9085, 9051, 9020])).
% 33.59/22.19 tff(9090,plain,
% 33.59/22.19 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB53) | (~v121(constB53)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB53) | (~v121(constB53)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9091,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB53) | (~v121(constB53)))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9092,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB53) | (~v121(constB53))),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9091, 9090])).
% 33.59/22.19 tff(9093,plain,
% 33.59/22.19 (v117(constB53)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9092, 1253, 9089])).
% 33.59/22.19 tff(9094,plain,
% 33.59/22.19 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB53) | (~v117(constB53)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB53) | (~v117(constB53)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9095,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB53) | (~v117(constB53)))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9096,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB53) | (~v117(constB53))),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9095, 9094])).
% 33.59/22.19 tff(9097,plain,
% 33.59/22.19 (v116(constB53)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9096, 509, 9093])).
% 33.59/22.19 tff(9098,plain,
% 33.59/22.19 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB53) | (~v116(constB53)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB53) | (~v116(constB53)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9099,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB53) | (~v116(constB53)))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9100,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB53) | (~v116(constB53))),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9099, 9098])).
% 33.59/22.19 tff(9101,plain,
% 33.59/22.19 (v115(constB53)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9100, 520, 9097])).
% 33.59/22.19 tff(9102,plain,
% 33.59/22.19 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB53) | (~v115(constB53)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB53) | (~v115(constB53)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9103,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB53) | (~v115(constB53)))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9104,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB53) | (~v115(constB53))),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9103, 9102])).
% 33.59/22.19 tff(9105,plain,
% 33.59/22.19 (v114(constB53)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9104, 531, 9101])).
% 33.59/22.19 tff(9106,plain,
% 33.59/22.19 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB53) | (~v114(constB53)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB53) | (~v114(constB53)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9107,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB53) | (~v114(constB53)))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9108,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB53) | (~v114(constB53))),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9107, 9106])).
% 33.59/22.19 tff(9109,plain,
% 33.59/22.19 (v113(constB53)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9108, 542, 9105])).
% 33.59/22.19 tff(9110,assumption,(v26(constB53)), introduced(assumption)).
% 33.59/22.19 tff(9111,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB53))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9112,plain,
% 33.59/22.19 ($false),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9111, 120, 9110])).
% 33.59/22.19 tff(9113,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 33.59/22.19 tff(9114,plain,
% 33.59/22.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9115,plain,
% 33.59/22.19 ((v26(constB53) | (~v113(constB53)) | v112(constB53)) <=> (v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9116,plain,
% 33.59/22.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53))))),
% 33.59/22.19 inference(monotonicity,[status(thm)],[9115])).
% 33.59/22.19 tff(9117,plain,
% 33.59/22.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 33.59/22.19 inference(transitivity,[status(thm)],[9116, 9114])).
% 33.59/22.19 tff(9118,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9119,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53))),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9118, 9117])).
% 33.59/22.19 tff(9120,plain,
% 33.59/22.19 (v112(constB53) | (~v113(constB53))),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9119, 556, 9113])).
% 33.59/22.19 tff(9121,plain,
% 33.59/22.19 (v112(constB53)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9120, 9109])).
% 33.59/22.19 tff(9122,plain,
% 33.59/22.19 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB53) | (~v112(constB53)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB53) | (~v112(constB53)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9123,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB53) | (~v112(constB53)))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9124,plain,
% 33.59/22.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB53) | (~v112(constB53))),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9123, 9122])).
% 33.59/22.19 tff(9125,plain,
% 33.59/22.19 (v108(constB53)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9124, 568, 9121])).
% 33.59/22.19 tff(9126,plain,
% 33.59/22.19 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9127,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 33.59/22.19 tff(9128,plain,
% 33.59/22.19 (nextState(constB53, constB54)),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9127, 9126])).
% 33.59/22.19 tff(9129,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9130,plain,
% 33.59/22.19 (((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54)) <=> ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9131,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))))),
% 33.59/22.19 inference(monotonicity,[status(thm)],[9130])).
% 33.59/22.19 tff(9132,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 33.59/22.19 inference(transitivity,[status(thm)],[9131, 9129])).
% 33.59/22.19 tff(9133,plain,
% 33.59/22.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9134,plain,
% 33.59/22.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9133, 9132])).
% 33.59/22.19 tff(9135,plain,
% 33.59/22.19 (v110(constB54) | (~v108(constB53))),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9134, 585, 9128])).
% 33.59/22.19 tff(9136,plain,
% 33.59/22.19 (v110(constB54)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9135, 9125])).
% 33.59/22.19 tff(9137,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9138,plain,
% 33.59/22.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9139,plain,
% 33.59/22.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54))),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9138, 9137])).
% 33.59/22.19 tff(9140,plain,
% 33.59/22.19 (~v104(constB54)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9139, 603, 9128, 8996])).
% 33.59/22.19 tff(9141,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9142,plain,
% 33.59/22.19 (((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54)) <=> ((~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9143,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | v102(constB54)))),
% 33.59/22.19 inference(monotonicity,[status(thm)],[9142])).
% 33.59/22.19 tff(9144,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))),
% 33.59/22.19 inference(transitivity,[status(thm)],[9143, 9141])).
% 33.59/22.19 tff(9145,plain,
% 33.59/22.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 33.59/22.19 inference(quant_inst,[status(thm)],[])).
% 33.59/22.19 tff(9146,plain,
% 33.59/22.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | v102(constB54)),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9145, 9144])).
% 33.59/22.19 tff(9147,plain,
% 33.59/22.19 (v104(constB54) | v102(constB54)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9146, 617, 9128])).
% 33.59/22.19 tff(9148,plain,
% 33.59/22.19 (v102(constB54)),
% 33.59/22.19 inference(unit_resolution,[status(thm)],[9147, 9140])).
% 33.59/22.19 tff(9149,plain,
% 33.59/22.19 (v1(constB54) <=> v1(constB54)),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9150,axiom,(v1(constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 33.59/22.19 tff(9151,plain,
% 33.59/22.19 (v1(constB54)),
% 33.59/22.19 inference(modus_ponens,[status(thm)],[9150, 9149])).
% 33.59/22.19 tff(9152,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9153,plain,
% 33.59/22.19 (((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54))) <=> ((~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))),
% 33.59/22.19 inference(rewrite,[status(thm)],[])).
% 33.59/22.19 tff(9154,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54))))),
% 33.59/22.19 inference(monotonicity,[status(thm)],[9153])).
% 33.59/22.19 tff(9155,plain,
% 33.59/22.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))),
% 33.59/22.19 inference(transitivity,[status(thm)],[9154, 9152])).
% 33.59/22.19 tff(9156,plain,
% 33.59/22.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9157,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54))),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9156, 9155])).
% 33.59/22.20 tff(9158,plain,
% 33.59/22.20 (v101(constB54) | (~v102(constB54))),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9157, 638, 9128, 9151])).
% 33.59/22.20 tff(9159,plain,
% 33.59/22.20 (v101(constB54)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9158, 9148])).
% 33.59/22.20 tff(9160,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9161,plain,
% 33.59/22.20 (((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54)) <=> ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9162,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))))),
% 33.59/22.20 inference(monotonicity,[status(thm)],[9161])).
% 33.59/22.20 tff(9163,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 33.59/22.20 inference(transitivity,[status(thm)],[9162, 9160])).
% 33.59/22.20 tff(9164,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9165,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9164, 9163])).
% 33.59/22.20 tff(9166,plain,
% 33.59/22.20 (v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9165, 656, 9128])).
% 33.59/22.20 tff(9167,plain,
% 33.59/22.20 (v100(constB54) | (~v110(constB54))),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9166, 9159])).
% 33.59/22.20 tff(9168,plain,
% 33.59/22.20 (v100(constB54)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9167, 9136])).
% 33.59/22.20 tff(9169,plain,
% 33.59/22.20 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB53)) | (~v130(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB53)) | (~v130(constB53, bitIndex2)))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9170,plain,
% 33.59/22.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB53)) | (~v130(constB53, bitIndex2)))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9171,plain,
% 33.59/22.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB53)) | (~v130(constB53, bitIndex2))),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9170, 9169])).
% 33.59/22.20 tff(9172,plain,
% 33.59/22.20 (~v130(constB53, bitIndex2)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9171, 1342, 9089])).
% 33.59/22.20 tff(9173,plain,
% 33.59/22.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9174,plain,
% 33.59/22.20 ((v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2))) <=> ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9175,plain,
% 33.59/22.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2)))),
% 33.59/22.20 inference(monotonicity,[status(thm)],[9174])).
% 33.59/22.20 tff(9176,plain,
% 33.59/22.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 33.59/22.20 inference(transitivity,[status(thm)],[9175, 9173])).
% 33.59/22.20 tff(9177,plain,
% 33.59/22.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9178,plain,
% 33.59/22.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2)),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9177, 9176])).
% 33.59/22.20 tff(9179,plain,
% 33.59/22.20 ((~v127(constB53, bitIndex2)) | v130(constB53, bitIndex2)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9178, 689, 9113])).
% 33.59/22.20 tff(9180,plain,
% 33.59/22.20 (~v127(constB53, bitIndex2)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9179, 9172])).
% 33.59/22.20 tff(9181,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9182,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9183,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2))),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9182, 9181])).
% 33.59/22.20 tff(9184,plain,
% 33.59/22.20 (v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2))),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9183, 707, 9128])).
% 33.59/22.20 tff(9185,plain,
% 33.59/22.20 (~v129(constB54, bitIndex2)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9184, 9180])).
% 33.59/22.20 tff(9186,plain,
% 33.59/22.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9187,plain,
% 33.59/22.20 (((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2)) <=> ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9188,plain,
% 33.59/22.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54))))),
% 33.59/22.20 inference(monotonicity,[status(thm)],[9187])).
% 33.59/22.20 tff(9189,plain,
% 33.59/22.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 33.59/22.20 inference(transitivity,[status(thm)],[9188, 9186])).
% 33.59/22.20 tff(9190,plain,
% 33.59/22.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9191,plain,
% 33.59/22.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54))),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9190, 9189])).
% 33.59/22.20 tff(9192,plain,
% 33.59/22.20 ((~v90(constB54, bitIndex2)) | (~v100(constB54))),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9191, 722, 9185])).
% 33.59/22.20 tff(9193,plain,
% 33.59/22.20 (~v90(constB54, bitIndex2)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9192, 9168])).
% 33.59/22.20 tff(9194,plain,
% 33.59/22.20 ((~v1(constB55)) <=> (~v1(constB55))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9195,axiom,(~v1(constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 33.59/22.20 tff(9196,plain,
% 33.59/22.20 (~v1(constB55)),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9195, 9194])).
% 33.59/22.20 tff(9197,plain,
% 33.59/22.20 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9198,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 33.59/22.20 tff(9199,plain,
% 33.59/22.20 (nextState(constB54, constB55)),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9198, 9197])).
% 33.59/22.20 tff(9200,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9201,plain,
% 33.59/22.20 (((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9202,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))))),
% 33.59/22.20 inference(monotonicity,[status(thm)],[9201])).
% 33.59/22.20 tff(9203,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 33.59/22.20 inference(transitivity,[status(thm)],[9202, 9200])).
% 33.59/22.20 tff(9204,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9205,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9204, 9203])).
% 33.59/22.20 tff(9206,plain,
% 33.59/22.20 (~v101(constB55)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9205, 381, 9199, 9196])).
% 33.59/22.20 tff(9207,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9208,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9209,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55))),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9208, 9207])).
% 33.59/22.20 tff(9210,plain,
% 33.59/22.20 (v101(constB55) | (~v100(constB55))),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9209, 398, 9199])).
% 33.59/22.20 tff(9211,plain,
% 33.59/22.20 (~v100(constB55)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9210, 9206])).
% 33.59/22.20 tff(9212,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9213,plain,
% 33.59/22.20 (((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2))) <=> (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9214,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2))))),
% 33.59/22.20 inference(monotonicity,[status(thm)],[9213])).
% 33.59/22.20 tff(9215,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 33.59/22.20 inference(transitivity,[status(thm)],[9214, 9212])).
% 33.59/22.20 tff(9216,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9217,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2))),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9216, 9215])).
% 33.59/22.20 tff(9218,plain,
% 33.59/22.20 (v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2))),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9217, 413, 9199])).
% 33.59/22.20 tff(9219,plain,
% 33.59/22.20 (v90(constB54, bitIndex2) | (~v90(constB55, bitIndex2))),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9218, 9211])).
% 33.59/22.20 tff(9220,plain,
% 33.59/22.20 (~v90(constB55, bitIndex2)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9219, 9193])).
% 33.59/22.20 tff(9221,plain,
% 33.59/22.20 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB53)) | v130(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB53)) | v130(constB53, bitIndex1))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9222,plain,
% 33.59/22.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB53)) | v130(constB53, bitIndex1))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9223,plain,
% 33.59/22.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB53)) | v130(constB53, bitIndex1)),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9222, 9221])).
% 33.59/22.20 tff(9224,plain,
% 33.59/22.20 (v130(constB53, bitIndex1)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9223, 1404, 9089])).
% 33.59/22.20 tff(9225,plain,
% 33.59/22.20 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9226,plain,
% 33.59/22.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9227,plain,
% 33.59/22.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9226, 9225])).
% 33.59/22.20 tff(9228,plain,
% 33.59/22.20 ((~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9227, 1101, 9113])).
% 33.59/22.20 tff(9229,plain,
% 33.59/22.20 (v127(constB53, bitIndex1)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9228, 9224])).
% 33.59/22.20 tff(9230,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9231,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9232,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9231, 9230])).
% 33.59/22.20 tff(9233,plain,
% 33.59/22.20 ((~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9232, 1116, 9128])).
% 33.59/22.20 tff(9234,plain,
% 33.59/22.20 (v129(constB54, bitIndex1)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9233, 9229])).
% 33.59/22.20 tff(9235,plain,
% 33.59/22.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9236,plain,
% 33.59/22.20 ((v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1))) <=> (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9237,plain,
% 33.59/22.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))))),
% 33.59/22.20 inference(monotonicity,[status(thm)],[9236])).
% 33.59/22.20 tff(9238,plain,
% 33.59/22.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 33.59/22.20 inference(transitivity,[status(thm)],[9237, 9235])).
% 33.59/22.20 tff(9239,plain,
% 33.59/22.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9240,plain,
% 33.59/22.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9239, 9238])).
% 33.59/22.20 tff(9241,plain,
% 33.59/22.20 (v90(constB54, bitIndex1) | (~v100(constB54))),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9240, 1131, 9234])).
% 33.59/22.20 tff(9242,plain,
% 33.59/22.20 (v90(constB54, bitIndex1)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9241, 9168])).
% 33.59/22.20 tff(9243,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9244,plain,
% 33.59/22.20 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)) <=> ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9245,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1)))),
% 33.59/22.20 inference(monotonicity,[status(thm)],[9244])).
% 33.59/22.20 tff(9246,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 33.59/22.20 inference(transitivity,[status(thm)],[9245, 9243])).
% 33.59/22.20 tff(9247,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9248,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1)),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9247, 9246])).
% 33.59/22.20 tff(9249,plain,
% 33.59/22.20 ((~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9248, 1149, 9199])).
% 33.59/22.20 tff(9250,plain,
% 33.59/22.20 ((~v90(constB54, bitIndex1)) | v90(constB55, bitIndex1)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9249, 9211])).
% 33.59/22.20 tff(9251,plain,
% 33.59/22.20 (v90(constB55, bitIndex1)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9250, 9242])).
% 33.59/22.20 tff(9252,plain,
% 33.59/22.20 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB53)) | v130(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB53)) | v130(constB53, bitIndex0))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9253,plain,
% 33.59/22.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB53)) | v130(constB53, bitIndex0))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9254,plain,
% 33.59/22.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB53)) | v130(constB53, bitIndex0)),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9253, 9252])).
% 33.59/22.20 tff(9255,plain,
% 33.59/22.20 (v130(constB53, bitIndex0)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9254, 1445, 9089])).
% 33.59/22.20 tff(9256,plain,
% 33.59/22.20 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9257,plain,
% 33.59/22.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9258,plain,
% 33.59/22.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0)),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9257, 9256])).
% 33.59/22.20 tff(9259,plain,
% 33.59/22.20 ((~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9258, 855, 9113])).
% 33.59/22.20 tff(9260,plain,
% 33.59/22.20 (v127(constB53, bitIndex0)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9259, 9255])).
% 33.59/22.20 tff(9261,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9262,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9263,plain,
% 33.59/22.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0)),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9262, 9261])).
% 33.59/22.20 tff(9264,plain,
% 33.59/22.20 ((~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9263, 870, 9128])).
% 33.59/22.20 tff(9265,plain,
% 33.59/22.20 (v129(constB54, bitIndex0)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9264, 9260])).
% 33.59/22.20 tff(9266,plain,
% 33.59/22.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9267,plain,
% 33.59/22.20 ((v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0))) <=> (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9268,plain,
% 33.59/22.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54))))),
% 33.59/22.20 inference(monotonicity,[status(thm)],[9267])).
% 33.59/22.20 tff(9269,plain,
% 33.59/22.20 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 33.59/22.20 inference(transitivity,[status(thm)],[9268, 9266])).
% 33.59/22.20 tff(9270,plain,
% 33.59/22.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))),
% 33.59/22.20 inference(quant_inst,[status(thm)],[])).
% 33.59/22.20 tff(9271,plain,
% 33.59/22.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54))),
% 33.59/22.20 inference(modus_ponens,[status(thm)],[9270, 9269])).
% 33.59/22.20 tff(9272,plain,
% 33.59/22.20 (v90(constB54, bitIndex0) | (~v100(constB54))),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9271, 885, 9265])).
% 33.59/22.20 tff(9273,plain,
% 33.59/22.20 (v90(constB54, bitIndex0)),
% 33.59/22.20 inference(unit_resolution,[status(thm)],[9272, 9168])).
% 33.59/22.20 tff(9274,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9275,plain,
% 33.59/22.20 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0)) <=> ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 33.59/22.20 inference(rewrite,[status(thm)],[])).
% 33.59/22.20 tff(9276,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0)))),
% 33.59/22.20 inference(monotonicity,[status(thm)],[9275])).
% 33.59/22.20 tff(9277,plain,
% 33.59/22.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 33.59/22.21 inference(transitivity,[status(thm)],[9276, 9274])).
% 33.59/22.21 tff(9278,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9279,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0)),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9278, 9277])).
% 33.59/22.21 tff(9280,plain,
% 33.59/22.21 ((~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9279, 903, 9199])).
% 33.59/22.21 tff(9281,plain,
% 33.59/22.21 ((~v90(constB54, bitIndex0)) | v90(constB55, bitIndex0)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9280, 9211])).
% 33.59/22.21 tff(9282,plain,
% 33.59/22.21 (v90(constB55, bitIndex0)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9281, 9273])).
% 33.59/22.21 tff(9283,plain,
% 33.59/22.21 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9284,plain,
% 33.59/22.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9285,plain,
% 33.59/22.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55)),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9284, 9283])).
% 33.59/22.21 tff(9286,plain,
% 33.59/22.21 (v122(constB55)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9285, 1486, 9282, 9251, 9220])).
% 33.59/22.21 tff(9287,plain,
% 33.59/22.21 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB55) | (~v122(constB55)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB55) | (~v122(constB55)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9288,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB55) | (~v122(constB55)))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9289,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB55) | (~v122(constB55))),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9288, 9287])).
% 33.59/22.21 tff(9290,plain,
% 33.59/22.21 (v116(constB55)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9289, 1497, 9286])).
% 33.59/22.21 tff(9291,plain,
% 33.59/22.21 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB55) | (~v116(constB55)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB55) | (~v116(constB55)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9292,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB55) | (~v116(constB55)))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9293,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB55) | (~v116(constB55))),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9292, 9291])).
% 33.59/22.21 tff(9294,plain,
% 33.59/22.21 (v115(constB55)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9293, 520, 9290])).
% 33.59/22.21 tff(9295,plain,
% 33.59/22.21 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB55) | (~v115(constB55)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB55) | (~v115(constB55)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9296,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB55) | (~v115(constB55)))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9297,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB55) | (~v115(constB55))),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9296, 9295])).
% 33.59/22.21 tff(9298,plain,
% 33.59/22.21 (v114(constB55)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9297, 531, 9294])).
% 33.59/22.21 tff(9299,plain,
% 33.59/22.21 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB55) | (~v114(constB55)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB55) | (~v114(constB55)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9300,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB55) | (~v114(constB55)))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9301,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB55) | (~v114(constB55))),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9300, 9299])).
% 33.59/22.21 tff(9302,plain,
% 33.59/22.21 (v113(constB55)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9301, 542, 9298])).
% 33.59/22.21 tff(9303,assumption,(~v108(constB55)), introduced(assumption)).
% 33.59/22.21 tff(9304,plain,
% 33.59/22.21 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB55) | (~v112(constB55)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB55) | (~v112(constB55)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9305,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB55) | (~v112(constB55)))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9306,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB55) | (~v112(constB55))),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9305, 9304])).
% 33.59/22.21 tff(9307,plain,
% 33.59/22.21 (~v112(constB55)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9306, 568, 9303])).
% 33.59/22.21 tff(9308,plain,
% 33.59/22.21 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB55) | (~v26(constB55)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB55) | (~v26(constB55)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9309,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB55) | (~v26(constB55)))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9310,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB55) | (~v26(constB55))),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9309, 9308])).
% 33.59/22.21 tff(9311,plain,
% 33.59/22.21 (~v26(constB55)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9310, 2348, 9303])).
% 33.59/22.21 tff(9312,assumption,(v113(constB55)), introduced(assumption)).
% 33.59/22.21 tff(9313,plain,
% 33.59/22.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | v112(constB55) | (~v113(constB55)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9314,plain,
% 33.59/22.21 ((v26(constB55) | (~v113(constB55)) | v112(constB55)) <=> (v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9315,plain,
% 33.59/22.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | v112(constB55) | (~v113(constB55))))),
% 33.59/22.21 inference(monotonicity,[status(thm)],[9314])).
% 33.59/22.21 tff(9316,plain,
% 33.59/22.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 33.59/22.21 inference(transitivity,[status(thm)],[9315, 9313])).
% 33.59/22.21 tff(9317,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9318,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55))),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9317, 9316])).
% 33.59/22.21 tff(9319,plain,
% 33.59/22.21 (v26(constB55) | v112(constB55)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9318, 556, 9312])).
% 33.59/22.21 tff(9320,plain,
% 33.59/22.21 ($false),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9319, 9311, 9307])).
% 33.59/22.21 tff(9321,plain,(v108(constB55) | (~v113(constB55))), inference(lemma,lemma(discharge,[]))).
% 33.59/22.21 tff(9322,plain,
% 33.59/22.21 (v108(constB55)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9321, 9302])).
% 33.59/22.21 tff(9323,plain,
% 33.59/22.21 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9324,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 33.59/22.21 tff(9325,plain,
% 33.59/22.21 (nextState(constB55, constB56)),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9324, 9323])).
% 33.59/22.21 tff(9326,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9327,plain,
% 33.59/22.21 (((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56)) <=> ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9328,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))))),
% 33.59/22.21 inference(monotonicity,[status(thm)],[9327])).
% 33.59/22.21 tff(9329,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 33.59/22.21 inference(transitivity,[status(thm)],[9328, 9326])).
% 33.59/22.21 tff(9330,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9331,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9330, 9329])).
% 33.59/22.21 tff(9332,plain,
% 33.59/22.21 (v110(constB56) | (~v108(constB55))),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9331, 585, 9325])).
% 33.59/22.21 tff(9333,plain,
% 33.59/22.21 (v110(constB56)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9332, 9322])).
% 33.59/22.21 tff(9334,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9335,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9336,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56))),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9335, 9334])).
% 33.59/22.21 tff(9337,plain,
% 33.59/22.21 (~v104(constB56)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9336, 603, 9325, 9196])).
% 33.59/22.21 tff(9338,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9339,plain,
% 33.59/22.21 (((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56)) <=> ((~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9340,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | v102(constB56)))),
% 33.59/22.21 inference(monotonicity,[status(thm)],[9339])).
% 33.59/22.21 tff(9341,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))),
% 33.59/22.21 inference(transitivity,[status(thm)],[9340, 9338])).
% 33.59/22.21 tff(9342,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9343,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | v102(constB56)),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9342, 9341])).
% 33.59/22.21 tff(9344,plain,
% 33.59/22.21 (v104(constB56) | v102(constB56)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9343, 617, 9325])).
% 33.59/22.21 tff(9345,plain,
% 33.59/22.21 (v102(constB56)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9344, 9337])).
% 33.59/22.21 tff(9346,plain,
% 33.59/22.21 (v1(constB56) <=> v1(constB56)),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9347,axiom,(v1(constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 33.59/22.21 tff(9348,plain,
% 33.59/22.21 (v1(constB56)),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9347, 9346])).
% 33.59/22.21 tff(9349,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9350,plain,
% 33.59/22.21 (((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56))) <=> ((~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9351,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56))))),
% 33.59/22.21 inference(monotonicity,[status(thm)],[9350])).
% 33.59/22.21 tff(9352,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))),
% 33.59/22.21 inference(transitivity,[status(thm)],[9351, 9349])).
% 33.59/22.21 tff(9353,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9354,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56))),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9353, 9352])).
% 33.59/22.21 tff(9355,plain,
% 33.59/22.21 (v101(constB56) | (~v102(constB56))),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9354, 638, 9325, 9348])).
% 33.59/22.21 tff(9356,plain,
% 33.59/22.21 (v101(constB56)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9355, 9345])).
% 33.59/22.21 tff(9357,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9358,plain,
% 33.59/22.21 (((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56)) <=> ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9359,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))))),
% 33.59/22.21 inference(monotonicity,[status(thm)],[9358])).
% 33.59/22.21 tff(9360,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 33.59/22.21 inference(transitivity,[status(thm)],[9359, 9357])).
% 33.59/22.21 tff(9361,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9362,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9361, 9360])).
% 33.59/22.21 tff(9363,plain,
% 33.59/22.21 (v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9362, 656, 9325])).
% 33.59/22.21 tff(9364,plain,
% 33.59/22.21 (v100(constB56) | (~v110(constB56))),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9363, 9356])).
% 33.59/22.21 tff(9365,plain,
% 33.59/22.21 (v100(constB56)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9364, 9333])).
% 33.59/22.21 tff(9366,plain,
% 33.59/22.21 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB55)) | v130(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB55)) | v130(constB55, bitIndex2))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9367,plain,
% 33.59/22.21 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB55)) | v130(constB55, bitIndex2))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9368,plain,
% 33.59/22.21 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB55)) | v130(constB55, bitIndex2)),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9367, 9366])).
% 33.59/22.21 tff(9369,plain,
% 33.59/22.21 (v130(constB55, bitIndex2)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9368, 1578, 9286])).
% 33.59/22.21 tff(9370,assumption,(v26(constB55)), introduced(assumption)).
% 33.59/22.21 tff(9371,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB55))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9372,plain,
% 33.59/22.21 ($false),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9371, 120, 9370])).
% 33.59/22.21 tff(9373,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 33.59/22.21 tff(9374,plain,
% 33.59/22.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9375,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9376,plain,
% 33.59/22.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2)),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9375, 9374])).
% 33.59/22.21 tff(9377,plain,
% 33.59/22.21 ((~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9376, 1592, 9373])).
% 33.59/22.21 tff(9378,plain,
% 33.59/22.21 (v127(constB55, bitIndex2)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9377, 9369])).
% 33.59/22.21 tff(9379,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9380,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9381,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2)),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9380, 9379])).
% 33.59/22.21 tff(9382,plain,
% 33.59/22.21 ((~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9381, 1607, 9325])).
% 33.59/22.21 tff(9383,plain,
% 33.59/22.21 (v129(constB56, bitIndex2)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9382, 9378])).
% 33.59/22.21 tff(9384,plain,
% 33.59/22.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9385,plain,
% 33.59/22.21 ((v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2))) <=> (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9386,plain,
% 33.59/22.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56))))),
% 33.59/22.21 inference(monotonicity,[status(thm)],[9385])).
% 33.59/22.21 tff(9387,plain,
% 33.59/22.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 33.59/22.21 inference(transitivity,[status(thm)],[9386, 9384])).
% 33.59/22.21 tff(9388,plain,
% 33.59/22.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9389,plain,
% 33.59/22.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56))),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9388, 9387])).
% 33.59/22.21 tff(9390,plain,
% 33.59/22.21 (v90(constB56, bitIndex2) | (~v100(constB56))),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9389, 1622, 9383])).
% 33.59/22.21 tff(9391,plain,
% 33.59/22.21 (v90(constB56, bitIndex2)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9390, 9365])).
% 33.59/22.21 tff(9392,plain,
% 33.59/22.21 ((~v1(constB57)) <=> (~v1(constB57))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9393,axiom,(~v1(constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 33.59/22.21 tff(9394,plain,
% 33.59/22.21 (~v1(constB57)),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9393, 9392])).
% 33.59/22.21 tff(9395,plain,
% 33.59/22.21 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9396,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 33.59/22.21 tff(9397,plain,
% 33.59/22.21 (nextState(constB56, constB57)),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9396, 9395])).
% 33.59/22.21 tff(9398,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9399,plain,
% 33.59/22.21 (((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9400,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))))),
% 33.59/22.21 inference(monotonicity,[status(thm)],[9399])).
% 33.59/22.21 tff(9401,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 33.59/22.21 inference(transitivity,[status(thm)],[9400, 9398])).
% 33.59/22.21 tff(9402,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9403,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9402, 9401])).
% 33.59/22.21 tff(9404,plain,
% 33.59/22.21 (~v101(constB57)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9403, 381, 9397, 9394])).
% 33.59/22.21 tff(9405,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9406,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9407,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57))),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9406, 9405])).
% 33.59/22.21 tff(9408,plain,
% 33.59/22.21 (v101(constB57) | (~v100(constB57))),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9407, 398, 9397])).
% 33.59/22.21 tff(9409,plain,
% 33.59/22.21 (~v100(constB57)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9408, 9404])).
% 33.59/22.21 tff(9410,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9411,plain,
% 33.59/22.21 (((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2)) <=> ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 33.59/22.21 inference(rewrite,[status(thm)],[])).
% 33.59/22.21 tff(9412,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2)))),
% 33.59/22.21 inference(monotonicity,[status(thm)],[9411])).
% 33.59/22.21 tff(9413,plain,
% 33.59/22.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 33.59/22.21 inference(transitivity,[status(thm)],[9412, 9410])).
% 33.59/22.21 tff(9414,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2))),
% 33.59/22.21 inference(quant_inst,[status(thm)],[])).
% 33.59/22.21 tff(9415,plain,
% 33.59/22.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2)),
% 33.59/22.21 inference(modus_ponens,[status(thm)],[9414, 9413])).
% 33.59/22.21 tff(9416,plain,
% 33.59/22.21 ((~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2)),
% 33.59/22.21 inference(unit_resolution,[status(thm)],[9415, 1658, 9397])).
% 33.59/22.22 tff(9417,plain,
% 33.59/22.22 ((~v90(constB56, bitIndex2)) | v90(constB57, bitIndex2)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9416, 9409])).
% 33.59/22.22 tff(9418,plain,
% 33.59/22.22 (v90(constB57, bitIndex2)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9417, 9391])).
% 33.59/22.22 tff(9419,plain,
% 33.59/22.22 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB55)) | (~v130(constB55, bitIndex1)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9420,plain,
% 33.59/22.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex1)))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9421,plain,
% 33.59/22.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB55)) | (~v130(constB55, bitIndex1))),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9420, 9419])).
% 33.59/22.22 tff(9422,plain,
% 33.59/22.22 (~v130(constB55, bitIndex1)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9421, 1677, 9286])).
% 33.59/22.22 tff(9423,plain,
% 33.59/22.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9424,plain,
% 33.59/22.22 ((v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1))) <=> ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9425,plain,
% 33.59/22.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)))),
% 33.59/22.22 inference(monotonicity,[status(thm)],[9424])).
% 33.59/22.22 tff(9426,plain,
% 33.59/22.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 33.59/22.22 inference(transitivity,[status(thm)],[9425, 9423])).
% 33.59/22.22 tff(9427,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9428,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9427, 9426])).
% 33.59/22.22 tff(9429,plain,
% 33.59/22.22 ((~v127(constB55, bitIndex1)) | v130(constB55, bitIndex1)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9428, 781, 9373])).
% 33.59/22.22 tff(9430,plain,
% 33.59/22.22 (~v127(constB55, bitIndex1)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9429, 9422])).
% 33.59/22.22 tff(9431,plain,
% 33.59/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9432,plain,
% 33.59/22.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9433,plain,
% 33.59/22.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9432, 9431])).
% 33.59/22.22 tff(9434,plain,
% 33.59/22.22 (v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9433, 799, 9325])).
% 33.59/22.22 tff(9435,plain,
% 33.59/22.22 (~v129(constB56, bitIndex1)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9434, 9430])).
% 33.59/22.22 tff(9436,plain,
% 33.59/22.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9437,plain,
% 33.59/22.22 (((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1)) <=> ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9438,plain,
% 33.59/22.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))))),
% 33.59/22.22 inference(monotonicity,[status(thm)],[9437])).
% 33.59/22.22 tff(9439,plain,
% 33.59/22.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 33.59/22.22 inference(transitivity,[status(thm)],[9438, 9436])).
% 33.59/22.22 tff(9440,plain,
% 33.59/22.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9441,plain,
% 33.59/22.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9440, 9439])).
% 33.59/22.22 tff(9442,plain,
% 33.59/22.22 ((~v90(constB56, bitIndex1)) | (~v100(constB56))),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9441, 814, 9435])).
% 33.59/22.22 tff(9443,plain,
% 33.59/22.22 (~v90(constB56, bitIndex1)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9442, 9365])).
% 33.59/22.22 tff(9444,plain,
% 33.59/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9445,plain,
% 33.59/22.22 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))) <=> (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9446,plain,
% 33.59/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1))))),
% 33.59/22.22 inference(monotonicity,[status(thm)],[9445])).
% 33.59/22.22 tff(9447,plain,
% 33.59/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 33.59/22.22 inference(transitivity,[status(thm)],[9446, 9444])).
% 33.59/22.22 tff(9448,plain,
% 33.59/22.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9449,plain,
% 33.59/22.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9448, 9447])).
% 33.59/22.22 tff(9450,plain,
% 33.59/22.22 (v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9449, 434, 9397])).
% 33.59/22.22 tff(9451,plain,
% 33.59/22.22 (v90(constB56, bitIndex1) | (~v90(constB57, bitIndex1))),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9450, 9409])).
% 33.59/22.22 tff(9452,plain,
% 33.59/22.22 (~v90(constB57, bitIndex1)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9451, 9443])).
% 33.59/22.22 tff(9453,plain,
% 33.59/22.22 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB55)) | (~v130(constB55, bitIndex0)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9454,plain,
% 33.59/22.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex0)))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9455,plain,
% 33.59/22.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB55)) | (~v130(constB55, bitIndex0))),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9454, 9453])).
% 33.59/22.22 tff(9456,plain,
% 33.59/22.22 (~v130(constB55, bitIndex0)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9455, 1721, 9286])).
% 33.59/22.22 tff(9457,plain,
% 33.59/22.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9458,plain,
% 33.59/22.22 ((v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0))) <=> ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9459,plain,
% 33.59/22.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0)))),
% 33.59/22.22 inference(monotonicity,[status(thm)],[9458])).
% 33.59/22.22 tff(9460,plain,
% 33.59/22.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 33.59/22.22 inference(transitivity,[status(thm)],[9459, 9457])).
% 33.59/22.22 tff(9461,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9462,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0)),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9461, 9460])).
% 33.59/22.22 tff(9463,plain,
% 33.59/22.22 ((~v127(constB55, bitIndex0)) | v130(constB55, bitIndex0)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9462, 1182, 9373])).
% 33.59/22.22 tff(9464,plain,
% 33.59/22.22 (~v127(constB55, bitIndex0)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9463, 9456])).
% 33.59/22.22 tff(9465,plain,
% 33.59/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9466,plain,
% 33.59/22.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9467,plain,
% 33.59/22.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0))),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9466, 9465])).
% 33.59/22.22 tff(9468,plain,
% 33.59/22.22 (v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0))),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9467, 1200, 9325])).
% 33.59/22.22 tff(9469,plain,
% 33.59/22.22 (~v129(constB56, bitIndex0)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9468, 9464])).
% 33.59/22.22 tff(9470,plain,
% 33.59/22.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9471,plain,
% 33.59/22.22 (((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0)) <=> ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9472,plain,
% 33.59/22.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56))))),
% 33.59/22.22 inference(monotonicity,[status(thm)],[9471])).
% 33.59/22.22 tff(9473,plain,
% 33.59/22.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 33.59/22.22 inference(transitivity,[status(thm)],[9472, 9470])).
% 33.59/22.22 tff(9474,plain,
% 33.59/22.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9475,plain,
% 33.59/22.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56))),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9474, 9473])).
% 33.59/22.22 tff(9476,plain,
% 33.59/22.22 ((~v90(constB56, bitIndex0)) | (~v100(constB56))),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9475, 1215, 9469])).
% 33.59/22.22 tff(9477,plain,
% 33.59/22.22 (~v90(constB56, bitIndex0)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9476, 9365])).
% 33.59/22.22 tff(9478,plain,
% 33.59/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9479,plain,
% 33.59/22.22 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0))) <=> (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9480,plain,
% 33.59/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0))))),
% 33.59/22.22 inference(monotonicity,[status(thm)],[9479])).
% 33.59/22.22 tff(9481,plain,
% 33.59/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 33.59/22.22 inference(transitivity,[status(thm)],[9480, 9478])).
% 33.59/22.22 tff(9482,plain,
% 33.59/22.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9483,plain,
% 33.59/22.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0))),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9482, 9481])).
% 33.59/22.22 tff(9484,plain,
% 33.59/22.22 (v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0))),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9483, 455, 9397])).
% 33.59/22.22 tff(9485,plain,
% 33.59/22.22 (v90(constB56, bitIndex0) | (~v90(constB57, bitIndex0))),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9484, 9409])).
% 33.59/22.22 tff(9486,plain,
% 33.59/22.22 (~v90(constB57, bitIndex0)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9485, 9477])).
% 33.59/22.22 tff(9487,plain,
% 33.59/22.22 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9488,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9489,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57)),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9488, 9487])).
% 33.59/22.22 tff(9490,plain,
% 33.59/22.22 (v123(constB57)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9489, 1765, 9486, 9452, 9418])).
% 33.59/22.22 tff(9491,plain,
% 33.59/22.22 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB57) | (~v123(constB57)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB57) | (~v123(constB57)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9492,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB57) | (~v123(constB57)))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9493,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB57) | (~v123(constB57))),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9492, 9491])).
% 33.59/22.22 tff(9494,plain,
% 33.59/22.22 (v115(constB57)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9493, 1776, 9490])).
% 33.59/22.22 tff(9495,plain,
% 33.59/22.22 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB57) | (~v115(constB57)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB57) | (~v115(constB57)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9496,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB57) | (~v115(constB57)))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9497,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB57) | (~v115(constB57))),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9496, 9495])).
% 33.59/22.22 tff(9498,plain,
% 33.59/22.22 (v114(constB57)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9497, 531, 9494])).
% 33.59/22.22 tff(9499,plain,
% 33.59/22.22 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB57) | (~v114(constB57)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB57) | (~v114(constB57)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9500,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB57) | (~v114(constB57)))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9501,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB57) | (~v114(constB57))),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9500, 9499])).
% 33.59/22.22 tff(9502,plain,
% 33.59/22.22 (v113(constB57)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9501, 542, 9498])).
% 33.59/22.22 tff(9503,assumption,(v26(constB57)), introduced(assumption)).
% 33.59/22.22 tff(9504,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB57))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9505,plain,
% 33.59/22.22 ($false),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9504, 120, 9503])).
% 33.59/22.22 tff(9506,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 33.59/22.22 tff(9507,plain,
% 33.59/22.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9508,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9509,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57)),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9508, 9507])).
% 33.59/22.22 tff(9510,plain,
% 33.59/22.22 ((~v113(constB57)) | v112(constB57)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9509, 556, 9506])).
% 33.59/22.22 tff(9511,plain,
% 33.59/22.22 (v112(constB57)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9510, 9502])).
% 33.59/22.22 tff(9512,plain,
% 33.59/22.22 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB57) | (~v112(constB57)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9513,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB57) | (~v112(constB57)))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9514,plain,
% 33.59/22.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB57) | (~v112(constB57))),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9513, 9512])).
% 33.59/22.22 tff(9515,plain,
% 33.59/22.22 (v108(constB57)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9514, 568, 9511])).
% 33.59/22.22 tff(9516,plain,
% 33.59/22.22 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9517,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 33.59/22.22 tff(9518,plain,
% 33.59/22.22 (nextState(constB57, constB58)),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9517, 9516])).
% 33.59/22.22 tff(9519,plain,
% 33.59/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9520,plain,
% 33.59/22.22 (((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58)) <=> ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9521,plain,
% 33.59/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))))),
% 33.59/22.22 inference(monotonicity,[status(thm)],[9520])).
% 33.59/22.22 tff(9522,plain,
% 33.59/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 33.59/22.22 inference(transitivity,[status(thm)],[9521, 9519])).
% 33.59/22.22 tff(9523,plain,
% 33.59/22.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9524,plain,
% 33.59/22.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9523, 9522])).
% 33.59/22.22 tff(9525,plain,
% 33.59/22.22 (v110(constB58) | (~v108(constB57))),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9524, 585, 9518])).
% 33.59/22.22 tff(9526,plain,
% 33.59/22.22 (v110(constB58)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9525, 9515])).
% 33.59/22.22 tff(9527,plain,
% 33.59/22.22 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 33.59/22.22 inference(rewrite,[status(thm)],[])).
% 33.59/22.22 tff(9528,plain,
% 33.59/22.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 33.59/22.22 inference(quant_inst,[status(thm)],[])).
% 33.59/22.22 tff(9529,plain,
% 33.59/22.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58))),
% 33.59/22.22 inference(modus_ponens,[status(thm)],[9528, 9527])).
% 33.59/22.22 tff(9530,plain,
% 33.59/22.22 (~v104(constB58)),
% 33.59/22.22 inference(unit_resolution,[status(thm)],[9529, 603, 9518, 9394])).
% 33.59/22.22 tff(9531,plain,
% 33.59/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))),
% 33.63/22.22 inference(rewrite,[status(thm)],[])).
% 33.63/22.22 tff(9532,plain,
% 33.63/22.22 (((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58)) <=> ((~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))),
% 33.63/22.22 inference(rewrite,[status(thm)],[])).
% 33.63/22.22 tff(9533,plain,
% 33.63/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | v102(constB58)))),
% 33.63/22.22 inference(monotonicity,[status(thm)],[9532])).
% 33.63/22.22 tff(9534,plain,
% 33.63/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))),
% 33.63/22.22 inference(transitivity,[status(thm)],[9533, 9531])).
% 33.63/22.22 tff(9535,plain,
% 33.63/22.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 33.63/22.22 inference(quant_inst,[status(thm)],[])).
% 33.63/22.22 tff(9536,plain,
% 33.63/22.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | v102(constB58)),
% 33.63/22.22 inference(modus_ponens,[status(thm)],[9535, 9534])).
% 33.63/22.22 tff(9537,plain,
% 33.63/22.22 (v104(constB58) | v102(constB58)),
% 33.63/22.22 inference(unit_resolution,[status(thm)],[9536, 617, 9518])).
% 33.63/22.22 tff(9538,plain,
% 33.63/22.22 (v102(constB58)),
% 33.63/22.22 inference(unit_resolution,[status(thm)],[9537, 9530])).
% 33.63/22.22 tff(9539,plain,
% 33.63/22.22 (v1(constB58) <=> v1(constB58)),
% 33.63/22.22 inference(rewrite,[status(thm)],[])).
% 33.63/22.22 tff(9540,axiom,(v1(constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 33.63/22.22 tff(9541,plain,
% 33.63/22.22 (v1(constB58)),
% 33.63/22.22 inference(modus_ponens,[status(thm)],[9540, 9539])).
% 33.63/22.22 tff(9542,plain,
% 33.63/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))),
% 33.63/22.22 inference(rewrite,[status(thm)],[])).
% 33.63/22.22 tff(9543,plain,
% 33.63/22.22 (((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58))) <=> ((~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))),
% 33.63/22.22 inference(rewrite,[status(thm)],[])).
% 33.63/22.22 tff(9544,plain,
% 33.63/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58))))),
% 33.63/22.22 inference(monotonicity,[status(thm)],[9543])).
% 33.63/22.22 tff(9545,plain,
% 33.63/22.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))),
% 33.63/22.22 inference(transitivity,[status(thm)],[9544, 9542])).
% 33.63/22.23 tff(9546,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9547,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58))),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9546, 9545])).
% 33.63/22.23 tff(9548,plain,
% 33.63/22.23 (v101(constB58) | (~v102(constB58))),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9547, 638, 9518, 9541])).
% 33.63/22.23 tff(9549,plain,
% 33.63/22.23 (v101(constB58)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9548, 9538])).
% 33.63/22.23 tff(9550,plain,
% 33.63/22.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9551,plain,
% 33.63/22.23 (((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58)) <=> ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9552,plain,
% 33.63/22.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))))),
% 33.63/22.23 inference(monotonicity,[status(thm)],[9551])).
% 33.63/22.23 tff(9553,plain,
% 33.63/22.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 33.63/22.23 inference(transitivity,[status(thm)],[9552, 9550])).
% 33.63/22.23 tff(9554,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9555,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9554, 9553])).
% 33.63/22.23 tff(9556,plain,
% 33.63/22.23 (v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9555, 656, 9518])).
% 33.63/22.23 tff(9557,plain,
% 33.63/22.23 (v100(constB58) | (~v110(constB58))),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9556, 9549])).
% 33.63/22.23 tff(9558,plain,
% 33.63/22.23 (v100(constB58)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9557, 9526])).
% 33.63/22.23 tff(9559,plain,
% 33.63/22.23 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB57)) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB57)) | v130(constB57, bitIndex2))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9560,plain,
% 33.63/22.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB57)) | v130(constB57, bitIndex2))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9561,plain,
% 33.63/22.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB57)) | v130(constB57, bitIndex2)),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9560, 9559])).
% 33.63/22.23 tff(9562,plain,
% 33.63/22.23 (v130(constB57, bitIndex2)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9561, 1850, 9490])).
% 33.63/22.23 tff(9563,plain,
% 33.63/22.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9564,plain,
% 33.63/22.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9565,plain,
% 33.63/22.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2)),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9564, 9563])).
% 33.63/22.23 tff(9566,plain,
% 33.63/22.23 ((~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9565, 1592, 9506])).
% 33.63/22.23 tff(9567,plain,
% 33.63/22.23 (v127(constB57, bitIndex2)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9566, 9562])).
% 33.63/22.23 tff(9568,plain,
% 33.63/22.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9569,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9570,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2)),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9569, 9568])).
% 33.63/22.23 tff(9571,plain,
% 33.63/22.23 ((~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9570, 1607, 9518])).
% 33.63/22.23 tff(9572,plain,
% 33.63/22.23 (v129(constB58, bitIndex2)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9571, 9567])).
% 33.63/22.23 tff(9573,plain,
% 33.63/22.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9574,plain,
% 33.63/22.23 ((v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2))) <=> (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9575,plain,
% 33.63/22.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58))))),
% 33.63/22.23 inference(monotonicity,[status(thm)],[9574])).
% 33.63/22.23 tff(9576,plain,
% 33.63/22.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 33.63/22.23 inference(transitivity,[status(thm)],[9575, 9573])).
% 33.63/22.23 tff(9577,plain,
% 33.63/22.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9578,plain,
% 33.63/22.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58))),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9577, 9576])).
% 33.63/22.23 tff(9579,plain,
% 33.63/22.23 (v90(constB58, bitIndex2) | (~v100(constB58))),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9578, 1622, 9572])).
% 33.63/22.23 tff(9580,plain,
% 33.63/22.23 (v90(constB58, bitIndex2)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9579, 9558])).
% 33.63/22.23 tff(9581,plain,
% 33.63/22.23 ((~v1(constB59)) <=> (~v1(constB59))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9582,axiom,(~v1(constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 33.63/22.23 tff(9583,plain,
% 33.63/22.23 (~v1(constB59)),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9582, 9581])).
% 33.63/22.23 tff(9584,plain,
% 33.63/22.23 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9585,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 33.63/22.23 tff(9586,plain,
% 33.63/22.23 (nextState(constB58, constB59)),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9585, 9584])).
% 33.63/22.23 tff(9587,plain,
% 33.63/22.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9588,plain,
% 33.63/22.23 (((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9589,plain,
% 33.63/22.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))))),
% 33.63/22.23 inference(monotonicity,[status(thm)],[9588])).
% 33.63/22.23 tff(9590,plain,
% 33.63/22.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 33.63/22.23 inference(transitivity,[status(thm)],[9589, 9587])).
% 33.63/22.23 tff(9591,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9592,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9591, 9590])).
% 33.63/22.23 tff(9593,plain,
% 33.63/22.23 (~v101(constB59)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9592, 381, 9586, 9583])).
% 33.63/22.23 tff(9594,plain,
% 33.63/22.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9595,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9596,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59))),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9595, 9594])).
% 33.63/22.23 tff(9597,plain,
% 33.63/22.23 (v101(constB59) | (~v100(constB59))),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9596, 398, 9586])).
% 33.63/22.23 tff(9598,plain,
% 33.63/22.23 (~v100(constB59)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9597, 9593])).
% 33.63/22.23 tff(9599,plain,
% 33.63/22.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9600,plain,
% 33.63/22.23 (((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2)) <=> ((~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9601,plain,
% 33.63/22.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2)))),
% 33.63/22.23 inference(monotonicity,[status(thm)],[9600])).
% 33.63/22.23 tff(9602,plain,
% 33.63/22.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))),
% 33.63/22.23 inference(transitivity,[status(thm)],[9601, 9599])).
% 33.63/22.23 tff(9603,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9604,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2)),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9603, 9602])).
% 33.63/22.23 tff(9605,plain,
% 33.63/22.23 ((~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9604, 1658, 9586])).
% 33.63/22.23 tff(9606,plain,
% 33.63/22.23 ((~v90(constB58, bitIndex2)) | v90(constB59, bitIndex2)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9605, 9598])).
% 33.63/22.23 tff(9607,plain,
% 33.63/22.23 (v90(constB59, bitIndex2)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9606, 9580])).
% 33.63/22.23 tff(9608,plain,
% 33.63/22.23 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB57)) | (~v130(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB57)) | (~v130(constB57, bitIndex1)))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9609,plain,
% 33.63/22.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB57)) | (~v130(constB57, bitIndex1)))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9610,plain,
% 33.63/22.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB57)) | (~v130(constB57, bitIndex1))),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9609, 9608])).
% 33.63/22.23 tff(9611,plain,
% 33.63/22.23 (~v130(constB57, bitIndex1)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9610, 1909, 9490])).
% 33.63/22.23 tff(9612,plain,
% 33.63/22.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9613,plain,
% 33.63/22.23 ((v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1))) <=> ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9614,plain,
% 33.63/22.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1)))),
% 33.63/22.23 inference(monotonicity,[status(thm)],[9613])).
% 33.63/22.23 tff(9615,plain,
% 33.63/22.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 33.63/22.23 inference(transitivity,[status(thm)],[9614, 9612])).
% 33.63/22.23 tff(9616,plain,
% 33.63/22.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9617,plain,
% 33.63/22.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1)),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9616, 9615])).
% 33.63/22.23 tff(9618,plain,
% 33.63/22.23 ((~v127(constB57, bitIndex1)) | v130(constB57, bitIndex1)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9617, 781, 9506])).
% 33.63/22.23 tff(9619,plain,
% 33.63/22.23 (~v127(constB57, bitIndex1)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9618, 9611])).
% 33.63/22.23 tff(9620,plain,
% 33.63/22.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9621,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9622,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1))),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9621, 9620])).
% 33.63/22.23 tff(9623,plain,
% 33.63/22.23 (v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1))),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9622, 799, 9518])).
% 33.63/22.23 tff(9624,plain,
% 33.63/22.23 (~v129(constB58, bitIndex1)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9623, 9619])).
% 33.63/22.23 tff(9625,plain,
% 33.63/22.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9626,plain,
% 33.63/22.23 (((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1)) <=> ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9627,plain,
% 33.63/22.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58))))),
% 33.63/22.23 inference(monotonicity,[status(thm)],[9626])).
% 33.63/22.23 tff(9628,plain,
% 33.63/22.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 33.63/22.23 inference(transitivity,[status(thm)],[9627, 9625])).
% 33.63/22.23 tff(9629,plain,
% 33.63/22.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9630,plain,
% 33.63/22.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58))),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9629, 9628])).
% 33.63/22.23 tff(9631,plain,
% 33.63/22.23 ((~v90(constB58, bitIndex1)) | (~v100(constB58))),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9630, 814, 9624])).
% 33.63/22.23 tff(9632,plain,
% 33.63/22.23 (~v90(constB58, bitIndex1)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9631, 9558])).
% 33.63/22.23 tff(9633,plain,
% 33.63/22.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9634,plain,
% 33.63/22.23 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1))) <=> (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9635,plain,
% 33.63/22.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1))))),
% 33.63/22.23 inference(monotonicity,[status(thm)],[9634])).
% 33.63/22.23 tff(9636,plain,
% 33.63/22.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 33.63/22.23 inference(transitivity,[status(thm)],[9635, 9633])).
% 33.63/22.23 tff(9637,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9638,plain,
% 33.63/22.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1))),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9637, 9636])).
% 33.63/22.23 tff(9639,plain,
% 33.63/22.23 (v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1))),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9638, 434, 9586])).
% 33.63/22.23 tff(9640,plain,
% 33.63/22.23 (v90(constB58, bitIndex1) | (~v90(constB59, bitIndex1))),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9639, 9598])).
% 33.63/22.23 tff(9641,plain,
% 33.63/22.23 (~v90(constB59, bitIndex1)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9640, 9632])).
% 33.63/22.23 tff(9642,assumption,(~v114(constB59)), introduced(assumption)).
% 33.63/22.23 tff(9643,plain,
% 33.63/22.23 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB59) | (~v115(constB59)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB59) | (~v115(constB59)))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9644,plain,
% 33.63/22.23 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB59) | (~v115(constB59)))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9645,plain,
% 33.63/22.23 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB59) | (~v115(constB59))),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9644, 9643])).
% 33.63/22.23 tff(9646,plain,
% 33.63/22.23 (~v115(constB59)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9645, 531, 9642])).
% 33.63/22.23 tff(9647,assumption,(v90(constB59, bitIndex2)), introduced(assumption)).
% 33.63/22.23 tff(9648,assumption,(~v90(constB59, bitIndex1)), introduced(assumption)).
% 33.63/22.23 tff(9649,plain,
% 33.63/22.23 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB59) | (~v124(constB59)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB59) | (~v124(constB59)))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9650,plain,
% 33.63/22.23 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB59) | (~v124(constB59)))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9651,plain,
% 33.63/22.23 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB59) | (~v124(constB59))),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9650, 9649])).
% 33.63/22.23 tff(9652,plain,
% 33.63/22.23 (~v124(constB59)),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9651, 2005, 9642])).
% 33.63/22.23 tff(9653,assumption,(~v124(constB59)), introduced(assumption)).
% 33.63/22.23 tff(9654,plain,
% 33.63/22.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59))),
% 33.63/22.23 inference(rewrite,[status(thm)],[])).
% 33.63/22.23 tff(9655,plain,
% 33.63/22.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59))),
% 33.63/22.23 inference(quant_inst,[status(thm)],[])).
% 33.63/22.23 tff(9656,plain,
% 33.63/22.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59)),
% 33.63/22.23 inference(modus_ponens,[status(thm)],[9655, 9654])).
% 33.63/22.23 tff(9657,plain,
% 33.63/22.23 ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2))),
% 33.63/22.23 inference(unit_resolution,[status(thm)],[9656, 1994, 9653])).
% 33.63/22.24 tff(9658,plain,
% 33.63/22.24 (~v90(constB59, bitIndex0)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9657, 9648, 9647])).
% 33.63/22.24 tff(9659,assumption,(~v123(constB59)), introduced(assumption)).
% 33.63/22.24 tff(9660,plain,
% 33.63/22.24 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB59, bitIndex0) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v123(constB59))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB59, bitIndex0) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v123(constB59))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9661,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB59, bitIndex0) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v123(constB59))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9662,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB59, bitIndex0) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v123(constB59)),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9661, 9660])).
% 33.63/22.24 tff(9663,plain,
% 33.63/22.24 (v90(constB59, bitIndex0) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2))),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9662, 1765, 9659])).
% 33.63/22.24 tff(9664,plain,
% 33.63/22.24 ($false),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9663, 9658, 9648, 9647])).
% 33.63/22.24 tff(9665,plain,(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v123(constB59) | v124(constB59)), inference(lemma,lemma(discharge,[]))).
% 33.63/22.24 tff(9666,plain,
% 33.63/22.24 (v123(constB59)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9665, 9652, 9648, 9647])).
% 33.63/22.24 tff(9667,plain,
% 33.63/22.24 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB59) | (~v123(constB59)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB59) | (~v123(constB59)))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9668,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB59) | (~v123(constB59)))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9669,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB59) | (~v123(constB59))),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9668, 9667])).
% 33.63/22.24 tff(9670,plain,
% 33.63/22.24 ($false),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9669, 1776, 9666, 9646])).
% 33.63/22.24 tff(9671,plain,(v114(constB59) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 33.63/22.24 tff(9672,plain,
% 33.63/22.24 (v114(constB59)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9671, 9641, 9607])).
% 33.63/22.24 tff(9673,plain,
% 33.63/22.24 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB59) | (~v114(constB59)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB59) | (~v114(constB59)))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9674,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB59) | (~v114(constB59)))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9675,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB59) | (~v114(constB59))),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9674, 9673])).
% 33.63/22.24 tff(9676,plain,
% 33.63/22.24 (v113(constB59)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9675, 542, 9672])).
% 33.63/22.24 tff(9677,assumption,(~v108(constB59)), introduced(assumption)).
% 33.63/22.24 tff(9678,plain,
% 33.63/22.24 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB59) | (~v112(constB59)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB59) | (~v112(constB59)))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9679,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB59) | (~v112(constB59)))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9680,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB59) | (~v112(constB59))),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9679, 9678])).
% 33.63/22.24 tff(9681,plain,
% 33.63/22.24 (~v112(constB59)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9680, 568, 9677])).
% 33.63/22.24 tff(9682,plain,
% 33.63/22.24 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB59) | (~v26(constB59)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB59) | (~v26(constB59)))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9683,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB59) | (~v26(constB59)))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9684,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB59) | (~v26(constB59))),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9683, 9682])).
% 33.63/22.24 tff(9685,plain,
% 33.63/22.24 (~v26(constB59)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9684, 2348, 9677])).
% 33.63/22.24 tff(9686,assumption,(v113(constB59)), introduced(assumption)).
% 33.63/22.24 tff(9687,plain,
% 33.63/22.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9688,plain,
% 33.63/22.24 ((v26(constB59) | (~v113(constB59)) | v112(constB59)) <=> (v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9689,plain,
% 33.63/22.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59))))),
% 33.63/22.24 inference(monotonicity,[status(thm)],[9688])).
% 33.63/22.24 tff(9690,plain,
% 33.63/22.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 33.63/22.24 inference(transitivity,[status(thm)],[9689, 9687])).
% 33.63/22.24 tff(9691,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9692,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59))),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9691, 9690])).
% 33.63/22.24 tff(9693,plain,
% 33.63/22.24 (v26(constB59) | v112(constB59)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9692, 556, 9686])).
% 33.63/22.24 tff(9694,plain,
% 33.63/22.24 ($false),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9693, 9685, 9681])).
% 33.63/22.24 tff(9695,plain,(v108(constB59) | (~v113(constB59))), inference(lemma,lemma(discharge,[]))).
% 33.63/22.24 tff(9696,plain,
% 33.63/22.24 (v108(constB59)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9695, 9676])).
% 33.63/22.24 tff(9697,plain,
% 33.63/22.24 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9698,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 33.63/22.24 tff(9699,plain,
% 33.63/22.24 (nextState(constB59, constB60)),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9698, 9697])).
% 33.63/22.24 tff(9700,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9701,plain,
% 33.63/22.24 (((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60)) <=> ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9702,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))))),
% 33.63/22.24 inference(monotonicity,[status(thm)],[9701])).
% 33.63/22.24 tff(9703,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 33.63/22.24 inference(transitivity,[status(thm)],[9702, 9700])).
% 33.63/22.24 tff(9704,plain,
% 33.63/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9705,plain,
% 33.63/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9704, 9703])).
% 33.63/22.24 tff(9706,plain,
% 33.63/22.24 (v110(constB60) | (~v108(constB59))),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9705, 585, 9699])).
% 33.63/22.24 tff(9707,plain,
% 33.63/22.24 (v110(constB60)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9706, 9696])).
% 33.63/22.24 tff(9708,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9709,plain,
% 33.63/22.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9710,plain,
% 33.63/22.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60))),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9709, 9708])).
% 33.63/22.24 tff(9711,plain,
% 33.63/22.24 (~v104(constB60)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9710, 603, 9699, 9583])).
% 33.63/22.24 tff(9712,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9713,plain,
% 33.63/22.24 (((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60)) <=> ((~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9714,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | v102(constB60)))),
% 33.63/22.24 inference(monotonicity,[status(thm)],[9713])).
% 33.63/22.24 tff(9715,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))),
% 33.63/22.24 inference(transitivity,[status(thm)],[9714, 9712])).
% 33.63/22.24 tff(9716,plain,
% 33.63/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9717,plain,
% 33.63/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | v102(constB60)),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9716, 9715])).
% 33.63/22.24 tff(9718,plain,
% 33.63/22.24 (v104(constB60) | v102(constB60)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9717, 617, 9699])).
% 33.63/22.24 tff(9719,plain,
% 33.63/22.24 (v102(constB60)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9718, 9711])).
% 33.63/22.24 tff(9720,plain,
% 33.63/22.24 (v1(constB60) <=> v1(constB60)),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9721,axiom,(v1(constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 33.63/22.24 tff(9722,plain,
% 33.63/22.24 (v1(constB60)),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9721, 9720])).
% 33.63/22.24 tff(9723,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9724,plain,
% 33.63/22.24 (((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60))) <=> ((~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9725,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60))))),
% 33.63/22.24 inference(monotonicity,[status(thm)],[9724])).
% 33.63/22.24 tff(9726,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))),
% 33.63/22.24 inference(transitivity,[status(thm)],[9725, 9723])).
% 33.63/22.24 tff(9727,plain,
% 33.63/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9728,plain,
% 33.63/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60))),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9727, 9726])).
% 33.63/22.24 tff(9729,plain,
% 33.63/22.24 (v101(constB60) | (~v102(constB60))),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9728, 638, 9699, 9722])).
% 33.63/22.24 tff(9730,plain,
% 33.63/22.24 (v101(constB60)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9729, 9719])).
% 33.63/22.24 tff(9731,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9732,plain,
% 33.63/22.24 (((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60)) <=> ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9733,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))))),
% 33.63/22.24 inference(monotonicity,[status(thm)],[9732])).
% 33.63/22.24 tff(9734,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 33.63/22.24 inference(transitivity,[status(thm)],[9733, 9731])).
% 33.63/22.24 tff(9735,plain,
% 33.63/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9736,plain,
% 33.63/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9735, 9734])).
% 33.63/22.24 tff(9737,plain,
% 33.63/22.24 (v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9736, 656, 9699])).
% 33.63/22.24 tff(9738,plain,
% 33.63/22.24 (v100(constB60) | (~v110(constB60))),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9737, 9730])).
% 33.63/22.24 tff(9739,plain,
% 33.63/22.24 (v100(constB60)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9738, 9707])).
% 33.63/22.24 tff(9740,plain,
% 33.63/22.24 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB57)) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB57)) | v130(constB57, bitIndex0))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9741,plain,
% 33.63/22.24 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB57)) | v130(constB57, bitIndex0))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9742,plain,
% 33.63/22.24 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB57)) | v130(constB57, bitIndex0)),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9741, 9740])).
% 33.63/22.24 tff(9743,plain,
% 33.63/22.24 (v130(constB57, bitIndex0)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9742, 1953, 9490])).
% 33.63/22.24 tff(9744,plain,
% 33.63/22.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9745,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9746,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0)),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9745, 9744])).
% 33.63/22.24 tff(9747,plain,
% 33.63/22.24 ((~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9746, 855, 9506])).
% 33.63/22.24 tff(9748,plain,
% 33.63/22.24 (v127(constB57, bitIndex0)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9747, 9743])).
% 33.63/22.24 tff(9749,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9750,plain,
% 33.63/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9751,plain,
% 33.63/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0)),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9750, 9749])).
% 33.63/22.24 tff(9752,plain,
% 33.63/22.24 ((~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9751, 870, 9518])).
% 33.63/22.24 tff(9753,plain,
% 33.63/22.24 (v129(constB58, bitIndex0)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9752, 9748])).
% 33.63/22.24 tff(9754,plain,
% 33.63/22.24 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9755,plain,
% 33.63/22.24 ((v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0))) <=> (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9756,plain,
% 33.63/22.24 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58))))),
% 33.63/22.24 inference(monotonicity,[status(thm)],[9755])).
% 33.63/22.24 tff(9757,plain,
% 33.63/22.24 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 33.63/22.24 inference(transitivity,[status(thm)],[9756, 9754])).
% 33.63/22.24 tff(9758,plain,
% 33.63/22.24 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9759,plain,
% 33.63/22.24 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58))),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9758, 9757])).
% 33.63/22.24 tff(9760,plain,
% 33.63/22.24 (v90(constB58, bitIndex0) | (~v100(constB58))),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9759, 885, 9753])).
% 33.63/22.24 tff(9761,plain,
% 33.63/22.24 (v90(constB58, bitIndex0)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9760, 9558])).
% 33.63/22.24 tff(9762,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9763,plain,
% 33.63/22.24 (((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0)) <=> ((~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9764,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0)))),
% 33.63/22.24 inference(monotonicity,[status(thm)],[9763])).
% 33.63/22.24 tff(9765,plain,
% 33.63/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))),
% 33.63/22.24 inference(transitivity,[status(thm)],[9764, 9762])).
% 33.63/22.24 tff(9766,plain,
% 33.63/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9767,plain,
% 33.63/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0)),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9766, 9765])).
% 33.63/22.24 tff(9768,plain,
% 33.63/22.24 ((~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9767, 903, 9586])).
% 33.63/22.24 tff(9769,plain,
% 33.63/22.24 ((~v90(constB58, bitIndex0)) | v90(constB59, bitIndex0)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9768, 9598])).
% 33.63/22.24 tff(9770,plain,
% 33.63/22.24 (v90(constB59, bitIndex0)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9769, 9761])).
% 33.63/22.24 tff(9771,plain,
% 33.63/22.24 (v124(constB59)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9656, 1994, 9770, 9641, 9607])).
% 33.63/22.24 tff(9772,plain,
% 33.63/22.24 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB59)) | v130(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB59)) | v130(constB59, bitIndex1))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9773,plain,
% 33.63/22.24 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB59)) | v130(constB59, bitIndex1))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9774,plain,
% 33.63/22.24 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB59)) | v130(constB59, bitIndex1)),
% 33.63/22.24 inference(modus_ponens,[status(thm)],[9773, 9772])).
% 33.63/22.24 tff(9775,plain,
% 33.63/22.24 (v130(constB59, bitIndex1)),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9774, 2145, 9771])).
% 33.63/22.24 tff(9776,assumption,(v26(constB59)), introduced(assumption)).
% 33.63/22.24 tff(9777,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB59))),
% 33.63/22.24 inference(quant_inst,[status(thm)],[])).
% 33.63/22.24 tff(9778,plain,
% 33.63/22.24 ($false),
% 33.63/22.24 inference(unit_resolution,[status(thm)],[9777, 120, 9776])).
% 33.63/22.24 tff(9779,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 33.63/22.24 tff(9780,plain,
% 33.63/22.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 33.63/22.24 inference(rewrite,[status(thm)],[])).
% 33.63/22.24 tff(9781,plain,
% 33.63/22.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 33.65/22.24 inference(quant_inst,[status(thm)],[])).
% 33.65/22.24 tff(9782,plain,
% 33.65/22.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 33.65/22.24 inference(modus_ponens,[status(thm)],[9781, 9780])).
% 33.65/22.24 tff(9783,plain,
% 33.65/22.24 ((~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 33.65/22.24 inference(unit_resolution,[status(thm)],[9782, 1101, 9779])).
% 33.65/22.24 tff(9784,plain,
% 33.65/22.24 (v127(constB59, bitIndex1)),
% 33.65/22.24 inference(unit_resolution,[status(thm)],[9783, 9775])).
% 33.65/22.24 tff(9785,plain,
% 33.65/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 33.65/22.24 inference(rewrite,[status(thm)],[])).
% 33.65/22.24 tff(9786,plain,
% 33.65/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 33.65/22.24 inference(quant_inst,[status(thm)],[])).
% 33.65/22.24 tff(9787,plain,
% 33.65/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 33.65/22.24 inference(modus_ponens,[status(thm)],[9786, 9785])).
% 33.65/22.24 tff(9788,plain,
% 33.65/22.24 ((~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 33.65/22.24 inference(unit_resolution,[status(thm)],[9787, 1116, 9699])).
% 33.65/22.24 tff(9789,plain,
% 33.65/22.24 (v129(constB60, bitIndex1)),
% 33.65/22.24 inference(unit_resolution,[status(thm)],[9788, 9784])).
% 33.65/22.24 tff(9790,plain,
% 33.65/22.24 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 33.65/22.24 inference(rewrite,[status(thm)],[])).
% 33.65/22.24 tff(9791,plain,
% 33.65/22.24 ((v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1))) <=> (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 33.65/22.24 inference(rewrite,[status(thm)],[])).
% 33.65/22.24 tff(9792,plain,
% 33.65/22.24 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))))),
% 33.65/22.24 inference(monotonicity,[status(thm)],[9791])).
% 33.65/22.24 tff(9793,plain,
% 33.65/22.24 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 33.65/22.24 inference(transitivity,[status(thm)],[9792, 9790])).
% 33.65/22.24 tff(9794,plain,
% 33.65/22.24 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))),
% 33.65/22.24 inference(quant_inst,[status(thm)],[])).
% 33.65/22.24 tff(9795,plain,
% 33.65/22.24 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))),
% 33.65/22.24 inference(modus_ponens,[status(thm)],[9794, 9793])).
% 33.65/22.24 tff(9796,plain,
% 33.65/22.24 (v90(constB60, bitIndex1) | (~v100(constB60))),
% 33.65/22.24 inference(unit_resolution,[status(thm)],[9795, 1131, 9789])).
% 33.65/22.24 tff(9797,plain,
% 33.65/22.24 (v90(constB60, bitIndex1)),
% 33.65/22.24 inference(unit_resolution,[status(thm)],[9796, 9739])).
% 33.65/22.24 tff(9798,plain,
% 33.65/22.24 ((~v1(constB61)) <=> (~v1(constB61))),
% 33.65/22.24 inference(rewrite,[status(thm)],[])).
% 33.65/22.24 tff(9799,axiom,(~v1(constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 33.65/22.24 tff(9800,plain,
% 33.65/22.24 (~v1(constB61)),
% 33.65/22.24 inference(modus_ponens,[status(thm)],[9799, 9798])).
% 33.65/22.24 tff(9801,plain,
% 33.65/22.24 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 33.65/22.24 inference(rewrite,[status(thm)],[])).
% 33.65/22.24 tff(9802,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 33.65/22.24 tff(9803,plain,
% 33.65/22.24 (nextState(constB60, constB61)),
% 33.65/22.24 inference(modus_ponens,[status(thm)],[9802, 9801])).
% 33.65/22.24 tff(9804,plain,
% 33.65/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 33.65/22.24 inference(rewrite,[status(thm)],[])).
% 33.65/22.24 tff(9805,plain,
% 33.65/22.24 (((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 33.65/22.24 inference(rewrite,[status(thm)],[])).
% 33.65/22.24 tff(9806,plain,
% 33.65/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))))),
% 33.65/22.24 inference(monotonicity,[status(thm)],[9805])).
% 33.65/22.24 tff(9807,plain,
% 33.65/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 33.65/22.24 inference(transitivity,[status(thm)],[9806, 9804])).
% 33.65/22.24 tff(9808,plain,
% 33.65/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))),
% 33.65/22.24 inference(quant_inst,[status(thm)],[])).
% 33.65/22.24 tff(9809,plain,
% 33.65/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))),
% 33.65/22.24 inference(modus_ponens,[status(thm)],[9808, 9807])).
% 33.65/22.24 tff(9810,plain,
% 33.65/22.24 (~v101(constB61)),
% 33.65/22.24 inference(unit_resolution,[status(thm)],[9809, 381, 9803, 9800])).
% 33.65/22.24 tff(9811,plain,
% 33.65/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 33.65/22.24 inference(rewrite,[status(thm)],[])).
% 33.65/22.24 tff(9812,plain,
% 33.65/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 33.65/22.24 inference(quant_inst,[status(thm)],[])).
% 33.65/22.24 tff(9813,plain,
% 33.65/22.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61))),
% 33.65/22.24 inference(modus_ponens,[status(thm)],[9812, 9811])).
% 33.65/22.24 tff(9814,plain,
% 33.65/22.24 (v101(constB61) | (~v100(constB61))),
% 33.65/22.24 inference(unit_resolution,[status(thm)],[9813, 398, 9803])).
% 33.65/22.24 tff(9815,plain,
% 33.65/22.24 (~v100(constB61)),
% 33.65/22.24 inference(unit_resolution,[status(thm)],[9814, 9810])).
% 33.65/22.24 tff(9816,plain,
% 33.65/22.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9817,plain,
% 33.65/22.25 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)) <=> ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9818,plain,
% 33.65/22.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1)))),
% 33.65/22.25 inference(monotonicity,[status(thm)],[9817])).
% 33.65/22.25 tff(9819,plain,
% 33.65/22.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 33.65/22.25 inference(transitivity,[status(thm)],[9818, 9816])).
% 33.65/22.25 tff(9820,plain,
% 33.65/22.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9821,plain,
% 33.65/22.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1)),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9820, 9819])).
% 33.65/22.25 tff(9822,plain,
% 33.65/22.25 ((~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9821, 1149, 9803])).
% 33.65/22.25 tff(9823,plain,
% 33.65/22.25 ((~v90(constB60, bitIndex1)) | v90(constB61, bitIndex1)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9822, 9815])).
% 33.65/22.25 tff(9824,plain,
% 33.65/22.25 (v90(constB61, bitIndex1)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9823, 9797])).
% 33.65/22.25 tff(9825,plain,
% 33.65/22.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v123(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v123(constB61)))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9826,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v123(constB61)))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9827,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v123(constB61))),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9826, 9825])).
% 33.65/22.25 tff(9828,plain,
% 33.65/22.25 (~v123(constB61)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9827, 2194, 9824])).
% 33.65/22.25 tff(9829,plain,
% 33.65/22.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v124(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v124(constB61)))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9830,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v124(constB61)))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9831,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v124(constB61))),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9830, 9829])).
% 33.65/22.25 tff(9832,plain,
% 33.65/22.25 (~v124(constB61)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9831, 2205, 9824])).
% 33.65/22.25 tff(9833,plain,
% 33.65/22.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB59, bitIndex2)) | (~v120(constB59)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB59, bitIndex2)) | (~v120(constB59)))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9834,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB59, bitIndex2)) | (~v120(constB59)))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9835,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB59, bitIndex2)) | (~v120(constB59))),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9834, 9833])).
% 33.65/22.25 tff(9836,plain,
% 33.65/22.25 (~v120(constB59)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9835, 6976, 9607])).
% 33.65/22.25 tff(9837,assumption,(~v120(constB59)), introduced(assumption)).
% 33.65/22.25 tff(9838,assumption,(~v90(constB60, bitIndex2)), introduced(assumption)).
% 33.65/22.25 tff(9839,plain,
% 33.65/22.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB59, bitIndex2)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB59, bitIndex2)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex2))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9840,plain,
% 33.65/22.25 (((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex2)) | v100(constB60) | v90(constB60, bitIndex2)) <=> ((~v90(constB59, bitIndex2)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex2))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9841,plain,
% 33.65/22.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex2)) | v100(constB60) | v90(constB60, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB59, bitIndex2)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex2)))),
% 33.65/22.25 inference(monotonicity,[status(thm)],[9840])).
% 33.65/22.25 tff(9842,plain,
% 33.65/22.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex2)) | v100(constB60) | v90(constB60, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB59, bitIndex2)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex2))),
% 33.65/22.25 inference(transitivity,[status(thm)],[9841, 9839])).
% 33.65/22.25 tff(9843,plain,
% 33.65/22.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex2)) | v100(constB60) | v90(constB60, bitIndex2))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9844,plain,
% 33.65/22.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB59, bitIndex2)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex2)),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9843, 9842])).
% 33.65/22.25 tff(9845,plain,
% 33.65/22.25 ((~v90(constB59, bitIndex2)) | v100(constB60) | v90(constB60, bitIndex2)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9844, 1658, 9699])).
% 33.65/22.25 tff(9846,plain,
% 33.65/22.25 (v100(constB60)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9845, 9647, 9838])).
% 33.65/22.25 tff(9847,assumption,(~v90(constB60, bitIndex0)), introduced(assumption)).
% 33.65/22.25 tff(9848,plain,
% 33.65/22.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9849,plain,
% 33.65/22.25 ((v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0))) <=> (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9850,plain,
% 33.65/22.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60))))),
% 33.65/22.25 inference(monotonicity,[status(thm)],[9849])).
% 33.65/22.25 tff(9851,plain,
% 33.65/22.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 33.65/22.25 inference(transitivity,[status(thm)],[9850, 9848])).
% 33.65/22.25 tff(9852,plain,
% 33.65/22.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9853,plain,
% 33.65/22.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60))),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9852, 9851])).
% 33.65/22.25 tff(9854,plain,
% 33.65/22.25 ((~v129(constB60, bitIndex0)) | (~v100(constB60))),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9853, 885, 9847])).
% 33.65/22.25 tff(9855,plain,
% 33.65/22.25 (~v129(constB60, bitIndex0)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9854, 9846])).
% 33.65/22.25 tff(9856,plain,
% 33.65/22.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9857,plain,
% 33.65/22.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9858,plain,
% 33.65/22.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0)),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9857, 9856])).
% 33.65/22.25 tff(9859,plain,
% 33.65/22.25 ((~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9858, 870, 9699])).
% 33.65/22.25 tff(9860,plain,
% 33.65/22.25 (~v127(constB59, bitIndex0)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9859, 9855])).
% 33.65/22.25 tff(9861,plain,
% 33.65/22.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9862,plain,
% 33.65/22.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9863,plain,
% 33.65/22.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0)),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9862, 9861])).
% 33.65/22.25 tff(9864,plain,
% 33.65/22.25 ((~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9863, 855, 9779])).
% 33.65/22.25 tff(9865,plain,
% 33.65/22.25 (~v130(constB59, bitIndex0)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9864, 9860])).
% 33.65/22.25 tff(9866,plain,
% 33.65/22.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9867,plain,
% 33.65/22.25 ((v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2))) <=> (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9868,plain,
% 33.65/22.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60))))),
% 33.65/22.25 inference(monotonicity,[status(thm)],[9867])).
% 33.65/22.25 tff(9869,plain,
% 33.65/22.25 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 33.65/22.25 inference(transitivity,[status(thm)],[9868, 9866])).
% 33.65/22.25 tff(9870,plain,
% 33.65/22.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9871,plain,
% 33.65/22.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60))),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9870, 9869])).
% 33.65/22.25 tff(9872,plain,
% 33.65/22.25 ((~v129(constB60, bitIndex2)) | (~v100(constB60))),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9871, 1622, 9838])).
% 33.65/22.25 tff(9873,plain,
% 33.65/22.25 (~v129(constB60, bitIndex2)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9872, 9846])).
% 33.65/22.25 tff(9874,plain,
% 33.65/22.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9875,plain,
% 33.65/22.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9876,plain,
% 33.65/22.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2)),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9875, 9874])).
% 33.65/22.25 tff(9877,plain,
% 33.65/22.25 ((~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9876, 1607, 9699])).
% 33.65/22.25 tff(9878,plain,
% 33.65/22.25 (~v127(constB59, bitIndex2)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9877, 9873])).
% 33.65/22.25 tff(9879,plain,
% 33.65/22.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9880,plain,
% 33.65/22.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9881,plain,
% 33.65/22.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2)),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9880, 9879])).
% 33.65/22.25 tff(9882,plain,
% 33.65/22.25 ((~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9881, 1592, 9779])).
% 33.65/22.25 tff(9883,plain,
% 33.65/22.25 (~v130(constB59, bitIndex2)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9882, 9878])).
% 33.65/22.25 tff(9884,plain,
% 33.65/22.25 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB59)) | v130(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB59)) | v130(constB59, bitIndex2))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9885,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB59)) | v130(constB59, bitIndex2))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9886,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB59)) | v130(constB59, bitIndex2)),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9885, 9884])).
% 33.65/22.25 tff(9887,plain,
% 33.65/22.25 (~v124(constB59)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9886, 2075, 9883])).
% 33.65/22.25 tff(9888,plain,
% 33.65/22.25 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB59)) | v130(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB59)) | v130(constB59, bitIndex2))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9889,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB59)) | v130(constB59, bitIndex2))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9890,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB59)) | v130(constB59, bitIndex2)),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9889, 9888])).
% 33.65/22.25 tff(9891,plain,
% 33.65/22.25 (~v123(constB59)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9890, 1850, 9883])).
% 33.65/22.25 tff(9892,plain,
% 33.65/22.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB59, bitIndex2)) | (~v122(constB59)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB59, bitIndex2)) | (~v122(constB59)))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9893,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB59, bitIndex2)) | (~v122(constB59)))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9894,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB59, bitIndex2)) | (~v122(constB59))),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9893, 9892])).
% 33.65/22.25 tff(9895,plain,
% 33.65/22.25 (~v122(constB59)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9894, 2131, 9647])).
% 33.65/22.25 tff(9896,plain,
% 33.65/22.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB59, bitIndex2)) | (~v121(constB59)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB59, bitIndex2)) | (~v121(constB59)))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9897,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB59, bitIndex2)) | (~v121(constB59)))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9898,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB59, bitIndex2)) | (~v121(constB59))),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9897, 9896])).
% 33.65/22.25 tff(9899,plain,
% 33.65/22.25 (~v121(constB59)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9898, 2216, 9647])).
% 33.65/22.25 tff(9900,plain,
% 33.65/22.25 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB59)) | (~v90(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB59)) | (~v90(constB59, bitIndex2)))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9901,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB59)) | (~v90(constB59, bitIndex2)))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9902,plain,
% 33.65/22.25 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB59)) | (~v90(constB59, bitIndex2))),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9901, 9900])).
% 33.65/22.25 tff(9903,plain,
% 33.65/22.25 (~v119(constB59)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9902, 6865, 9647])).
% 33.65/22.25 tff(9904,plain,
% 33.65/22.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB59, bitIndex0) | v124(constB59) | v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB59, bitIndex0) | v124(constB59) | v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9905,plain,
% 33.65/22.25 ((v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | v130(constB59, bitIndex0)) <=> (v130(constB59, bitIndex0) | v124(constB59) | v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9906,plain,
% 33.65/22.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB59, bitIndex0) | v124(constB59) | v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59)))),
% 33.65/22.25 inference(monotonicity,[status(thm)],[9905])).
% 33.65/22.25 tff(9907,plain,
% 33.65/22.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB59, bitIndex0) | v124(constB59) | v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59))),
% 33.65/22.25 inference(transitivity,[status(thm)],[9906, 9904])).
% 33.65/22.25 tff(9908,plain,
% 33.65/22.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | v130(constB59, bitIndex0))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9909,plain,
% 33.65/22.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB59, bitIndex0) | v124(constB59) | v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59)),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9908, 9907])).
% 33.65/22.25 tff(9910,plain,
% 33.65/22.25 ($false),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9909, 2495, 9903, 9899, 9837, 9895, 9891, 9887, 9865])).
% 33.65/22.25 tff(9911,plain,((~v90(constB59, bitIndex2)) | v120(constB59) | v90(constB60, bitIndex0) | v90(constB60, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 33.65/22.25 tff(9912,plain,
% 33.65/22.25 (v90(constB60, bitIndex0)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9911, 9838, 9837, 9647])).
% 33.65/22.25 tff(9913,plain,
% 33.65/22.25 (v114(constB59)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9671, 9648, 9647])).
% 33.65/22.25 tff(9914,plain,
% 33.65/22.25 (v113(constB59)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9675, 542, 9913])).
% 33.65/22.25 tff(9915,plain,
% 33.65/22.25 (v108(constB59)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9695, 9914])).
% 33.65/22.25 tff(9916,plain,
% 33.65/22.25 (v110(constB60)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9706, 9915])).
% 33.65/22.25 tff(9917,plain,
% 33.65/22.25 (v100(constB60)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9738, 9916])).
% 33.65/22.25 tff(9918,plain,
% 33.65/22.25 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9919,plain,
% 33.65/22.25 (((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0)) <=> ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9920,plain,
% 33.65/22.25 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60))))),
% 33.65/22.25 inference(monotonicity,[status(thm)],[9919])).
% 33.65/22.25 tff(9921,plain,
% 33.65/22.25 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 33.65/22.25 inference(transitivity,[status(thm)],[9920, 9918])).
% 33.65/22.25 tff(9922,plain,
% 33.65/22.25 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))),
% 33.65/22.25 inference(quant_inst,[status(thm)],[])).
% 33.65/22.25 tff(9923,plain,
% 33.65/22.25 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60))),
% 33.65/22.25 inference(modus_ponens,[status(thm)],[9922, 9921])).
% 33.65/22.25 tff(9924,plain,
% 33.65/22.25 ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9923, 1215, 9917])).
% 33.65/22.25 tff(9925,plain,
% 33.65/22.25 (v129(constB60, bitIndex0)),
% 33.65/22.25 inference(unit_resolution,[status(thm)],[9924, 9912])).
% 33.65/22.25 tff(9926,plain,
% 33.65/22.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))),
% 33.65/22.25 inference(rewrite,[status(thm)],[])).
% 33.65/22.25 tff(9927,plain,
% 33.65/22.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(9928,plain,
% 33.65/22.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[9927, 9926])).
% 33.65/22.26 tff(9929,plain,
% 33.65/22.26 (v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9928, 1200, 9699])).
% 33.65/22.26 tff(9930,plain,
% 33.65/22.26 (v127(constB59, bitIndex0)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9929, 9925])).
% 33.65/22.26 tff(9931,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(9932,plain,
% 33.65/22.26 ((v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0))) <=> ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(9933,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0)))),
% 33.65/22.26 inference(monotonicity,[status(thm)],[9932])).
% 33.65/22.26 tff(9934,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 33.65/22.26 inference(transitivity,[status(thm)],[9933, 9931])).
% 33.65/22.26 tff(9935,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(9936,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0)),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[9935, 9934])).
% 33.65/22.26 tff(9937,plain,
% 33.65/22.26 ((~v127(constB59, bitIndex0)) | v130(constB59, bitIndex0)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9936, 1182, 9779])).
% 33.65/22.26 tff(9938,plain,
% 33.65/22.26 (v130(constB59, bitIndex0)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9937, 9930])).
% 33.65/22.26 tff(9939,plain,
% 33.65/22.26 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB59)) | (~v130(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB59)) | (~v130(constB59, bitIndex0)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(9940,plain,
% 33.65/22.26 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB59)) | (~v130(constB59, bitIndex0)))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(9941,plain,
% 33.65/22.26 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB59)) | (~v130(constB59, bitIndex0))),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[9940, 9939])).
% 33.65/22.26 tff(9942,plain,
% 33.65/22.26 (~v124(constB59)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9941, 2277, 9938])).
% 33.65/22.26 tff(9943,plain,
% 33.65/22.26 (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2))),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9871, 1622, 9917])).
% 33.65/22.26 tff(9944,plain,
% 33.65/22.26 (~v129(constB60, bitIndex2)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9943, 9838])).
% 33.65/22.26 tff(9945,plain,
% 33.65/22.26 (~v127(constB59, bitIndex2)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9877, 9944])).
% 33.65/22.26 tff(9946,plain,
% 33.65/22.26 (~v130(constB59, bitIndex2)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9882, 9945])).
% 33.65/22.26 tff(9947,plain,
% 33.65/22.26 (~v123(constB59)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9890, 1850, 9946])).
% 33.65/22.26 tff(9948,plain,
% 33.65/22.26 ($false),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9665, 9947, 9942, 9648, 9647])).
% 33.65/22.26 tff(9949,plain,(v90(constB60, bitIndex2) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v120(constB59)), inference(lemma,lemma(discharge,[]))).
% 33.65/22.26 tff(9950,plain,
% 33.65/22.26 (v90(constB60, bitIndex2)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9949, 9836, 9607, 9641])).
% 33.65/22.26 tff(9951,plain,
% 33.65/22.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(9952,plain,
% 33.65/22.26 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2)) <=> ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(9953,plain,
% 33.65/22.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2)))),
% 33.65/22.26 inference(monotonicity,[status(thm)],[9952])).
% 33.65/22.26 tff(9954,plain,
% 33.65/22.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 33.65/22.26 inference(transitivity,[status(thm)],[9953, 9951])).
% 33.65/22.26 tff(9955,plain,
% 33.65/22.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(9956,plain,
% 33.65/22.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2)),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[9955, 9954])).
% 33.65/22.26 tff(9957,plain,
% 33.65/22.26 ((~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9956, 1658, 9803])).
% 33.65/22.26 tff(9958,plain,
% 33.65/22.26 ((~v90(constB60, bitIndex2)) | v90(constB61, bitIndex2)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9957, 9815])).
% 33.65/22.26 tff(9959,plain,
% 33.65/22.26 (v90(constB61, bitIndex2)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9958, 9950])).
% 33.65/22.26 tff(9960,plain,
% 33.65/22.26 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v121(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v121(constB61)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(9961,plain,
% 33.65/22.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v121(constB61)))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(9962,plain,
% 33.65/22.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v121(constB61))),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[9961, 9960])).
% 33.65/22.26 tff(9963,plain,
% 33.65/22.26 (~v121(constB61)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9962, 2216, 9959])).
% 33.65/22.26 tff(9964,plain,
% 33.65/22.26 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v122(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v122(constB61)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(9965,plain,
% 33.65/22.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v122(constB61)))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(9966,plain,
% 33.65/22.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v122(constB61))),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[9965, 9964])).
% 33.65/22.26 tff(9967,plain,
% 33.65/22.26 (~v122(constB61)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9966, 2131, 9959])).
% 33.65/22.26 tff(9968,plain,
% 33.65/22.26 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v120(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v120(constB61)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(9969,plain,
% 33.65/22.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v120(constB61)))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(9970,plain,
% 33.65/22.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v120(constB61))),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[9969, 9968])).
% 33.65/22.26 tff(9971,plain,
% 33.65/22.26 (~v120(constB61)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9970, 6976, 9959])).
% 33.65/22.26 tff(9972,plain,
% 33.65/22.26 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB61)) | (~v90(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB61)) | (~v90(constB61, bitIndex2)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(9973,plain,
% 33.65/22.26 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB61)) | (~v90(constB61, bitIndex2)))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(9974,plain,
% 33.65/22.26 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB61)) | (~v90(constB61, bitIndex2))),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[9973, 9972])).
% 33.65/22.26 tff(9975,plain,
% 33.65/22.26 (~v119(constB61)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9974, 6865, 9959])).
% 33.65/22.26 tff(9976,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(9977,plain,
% 33.65/22.26 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2))) <=> (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(9978,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2))))),
% 33.65/22.26 inference(monotonicity,[status(thm)],[9977])).
% 33.65/22.26 tff(9979,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2)))),
% 33.65/22.26 inference(transitivity,[status(thm)],[9978, 9976])).
% 33.65/22.26 tff(9980,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(9981,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2))),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[9980, 9979])).
% 33.65/22.26 tff(9982,plain,
% 33.65/22.26 (v124(constB61) | v123(constB61) | (~v130(constB61, bitIndex2))),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9981, 2244, 9975, 9971, 9967, 9963])).
% 33.65/22.26 tff(9983,plain,
% 33.65/22.26 (~v130(constB61, bitIndex2)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9982, 9832, 9828])).
% 33.65/22.26 tff(9984,assumption,(v26(constB61)), introduced(assumption)).
% 33.65/22.26 tff(9985,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB61))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(9986,plain,
% 33.65/22.26 ($false),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9985, 120, 9984])).
% 33.65/22.26 tff(9987,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 33.65/22.26 tff(9988,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(9989,plain,
% 33.65/22.26 ((v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2))) <=> ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(9990,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2)))),
% 33.65/22.26 inference(monotonicity,[status(thm)],[9989])).
% 33.65/22.26 tff(9991,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 33.65/22.26 inference(transitivity,[status(thm)],[9990, 9988])).
% 33.65/22.26 tff(9992,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(9993,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2)),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[9992, 9991])).
% 33.65/22.26 tff(9994,plain,
% 33.65/22.26 ((~v127(constB61, bitIndex2)) | v130(constB61, bitIndex2)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9993, 689, 9987])).
% 33.65/22.26 tff(9995,plain,
% 33.65/22.26 (~v127(constB61, bitIndex2)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9994, 9983])).
% 33.65/22.26 tff(9996,plain,
% 33.65/22.26 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(9997,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 33.65/22.26 tff(9998,plain,
% 33.65/22.26 (nextState(constB61, constB62)),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[9997, 9996])).
% 33.65/22.26 tff(9999,plain,
% 33.65/22.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(10000,plain,
% 33.65/22.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(10001,plain,
% 33.65/22.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[10000, 9999])).
% 33.65/22.26 tff(10002,plain,
% 33.65/22.26 (v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10001, 707, 9998])).
% 33.65/22.26 tff(10003,plain,
% 33.65/22.26 (~v129(constB62, bitIndex2)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10002, 9995])).
% 33.65/22.26 tff(10004,plain,
% 33.65/22.26 (~v130(constB59, bitIndex0)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9941, 2277, 9771])).
% 33.65/22.26 tff(10005,plain,
% 33.65/22.26 (~v127(constB59, bitIndex0)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9937, 10004])).
% 33.65/22.26 tff(10006,plain,
% 33.65/22.26 (~v129(constB60, bitIndex0)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9929, 10005])).
% 33.65/22.26 tff(10007,plain,
% 33.65/22.26 ((~v90(constB60, bitIndex0)) | (~v100(constB60))),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[9923, 1215, 10006])).
% 33.65/22.26 tff(10008,plain,
% 33.65/22.26 (~v90(constB60, bitIndex0)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10007, 9739])).
% 33.65/22.26 tff(10009,plain,
% 33.65/22.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(10010,plain,
% 33.65/22.26 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))) <=> (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(10011,plain,
% 33.65/22.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0))))),
% 33.65/22.26 inference(monotonicity,[status(thm)],[10010])).
% 33.65/22.26 tff(10012,plain,
% 33.65/22.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 33.65/22.26 inference(transitivity,[status(thm)],[10011, 10009])).
% 33.65/22.26 tff(10013,plain,
% 33.65/22.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(10014,plain,
% 33.65/22.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0))),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[10013, 10012])).
% 33.65/22.26 tff(10015,plain,
% 33.65/22.26 (v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10014, 455, 9803])).
% 33.65/22.26 tff(10016,plain,
% 33.65/22.26 (v90(constB60, bitIndex0) | (~v90(constB61, bitIndex0))),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10015, 9815])).
% 33.65/22.26 tff(10017,plain,
% 33.65/22.26 (~v90(constB61, bitIndex0)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10016, 10008])).
% 33.65/22.26 tff(10018,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(10019,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(10020,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61)),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[10019, 10018])).
% 33.65/22.26 tff(10021,plain,
% 33.65/22.26 (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | v125(constB61)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10020, 2321, 9959])).
% 33.65/22.26 tff(10022,plain,
% 33.65/22.26 (v125(constB61)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10021, 10017, 9824])).
% 33.65/22.26 tff(10023,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB61) | (~v125(constB61)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB61) | (~v125(constB61)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(10024,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB61) | (~v125(constB61)))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(10025,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB61) | (~v125(constB61))),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[10024, 10023])).
% 33.65/22.26 tff(10026,plain,
% 33.65/22.26 (v113(constB61)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10025, 2332, 10022])).
% 33.65/22.26 tff(10027,assumption,(~v108(constB61)), introduced(assumption)).
% 33.65/22.26 tff(10028,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB61) | (~v112(constB61)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB61) | (~v112(constB61)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(10029,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB61) | (~v112(constB61)))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(10030,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB61) | (~v112(constB61))),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[10029, 10028])).
% 33.65/22.26 tff(10031,plain,
% 33.65/22.26 (~v112(constB61)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10030, 568, 10027])).
% 33.65/22.26 tff(10032,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB61) | (~v26(constB61)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB61) | (~v26(constB61)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(10033,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB61) | (~v26(constB61)))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(10034,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB61) | (~v26(constB61))),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[10033, 10032])).
% 33.65/22.26 tff(10035,plain,
% 33.65/22.26 (~v26(constB61)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10034, 2348, 10027])).
% 33.65/22.26 tff(10036,assumption,(v113(constB61)), introduced(assumption)).
% 33.65/22.26 tff(10037,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(10038,plain,
% 33.65/22.26 ((v26(constB61) | (~v113(constB61)) | v112(constB61)) <=> (v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(10039,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61))))),
% 33.65/22.26 inference(monotonicity,[status(thm)],[10038])).
% 33.65/22.26 tff(10040,plain,
% 33.65/22.26 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 33.65/22.26 inference(transitivity,[status(thm)],[10039, 10037])).
% 33.65/22.26 tff(10041,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(10042,plain,
% 33.65/22.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61))),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[10041, 10040])).
% 33.65/22.26 tff(10043,plain,
% 33.65/22.26 (v26(constB61) | v112(constB61)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10042, 556, 10036])).
% 33.65/22.26 tff(10044,plain,
% 33.65/22.26 ($false),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10043, 10035, 10031])).
% 33.65/22.26 tff(10045,plain,(v108(constB61) | (~v113(constB61))), inference(lemma,lemma(discharge,[]))).
% 33.65/22.26 tff(10046,plain,
% 33.65/22.26 (v108(constB61)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10045, 10026])).
% 33.65/22.26 tff(10047,plain,
% 33.65/22.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(10048,plain,
% 33.65/22.26 (((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62)) <=> ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(10049,plain,
% 33.65/22.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))))),
% 33.65/22.26 inference(monotonicity,[status(thm)],[10048])).
% 33.65/22.26 tff(10050,plain,
% 33.65/22.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 33.65/22.26 inference(transitivity,[status(thm)],[10049, 10047])).
% 33.65/22.26 tff(10051,plain,
% 33.65/22.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(10052,plain,
% 33.65/22.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[10051, 10050])).
% 33.65/22.26 tff(10053,plain,
% 33.65/22.26 (v110(constB62) | (~v108(constB61))),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10052, 585, 9998])).
% 33.65/22.26 tff(10054,plain,
% 33.65/22.26 (v110(constB62)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10053, 10046])).
% 33.65/22.26 tff(10055,plain,
% 33.65/22.26 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(10056,plain,
% 33.65/22.26 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(10057,plain,
% 33.65/22.26 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62))),
% 33.65/22.26 inference(modus_ponens,[status(thm)],[10056, 10055])).
% 33.65/22.26 tff(10058,plain,
% 33.65/22.26 (~v104(constB62)),
% 33.65/22.26 inference(unit_resolution,[status(thm)],[10057, 603, 9998, 9800])).
% 33.65/22.26 tff(10059,plain,
% 33.65/22.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(10060,plain,
% 33.65/22.26 (((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62)) <=> ((~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))),
% 33.65/22.26 inference(rewrite,[status(thm)],[])).
% 33.65/22.26 tff(10061,plain,
% 33.65/22.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v102(constB62)))),
% 33.65/22.26 inference(monotonicity,[status(thm)],[10060])).
% 33.65/22.26 tff(10062,plain,
% 33.65/22.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))),
% 33.65/22.26 inference(transitivity,[status(thm)],[10061, 10059])).
% 33.65/22.26 tff(10063,plain,
% 33.65/22.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 33.65/22.26 inference(quant_inst,[status(thm)],[])).
% 33.65/22.26 tff(10064,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | v102(constB62)),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10063, 10062])).
% 33.65/22.27 tff(10065,plain,
% 33.65/22.27 (v104(constB62) | v102(constB62)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10064, 617, 9998])).
% 33.65/22.27 tff(10066,plain,
% 33.65/22.27 (v102(constB62)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10065, 10058])).
% 33.65/22.27 tff(10067,plain,
% 33.65/22.27 (v1(constB62) <=> v1(constB62)),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10068,axiom,(v1(constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 33.65/22.27 tff(10069,plain,
% 33.65/22.27 (v1(constB62)),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10068, 10067])).
% 33.65/22.27 tff(10070,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10071,plain,
% 33.65/22.27 (((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62))) <=> ((~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10072,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62))))),
% 33.65/22.27 inference(monotonicity,[status(thm)],[10071])).
% 33.65/22.27 tff(10073,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))),
% 33.65/22.27 inference(transitivity,[status(thm)],[10072, 10070])).
% 33.65/22.27 tff(10074,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 33.65/22.27 inference(quant_inst,[status(thm)],[])).
% 33.65/22.27 tff(10075,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62))),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10074, 10073])).
% 33.65/22.27 tff(10076,plain,
% 33.65/22.27 (v101(constB62) | (~v102(constB62))),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10075, 638, 9998, 10069])).
% 33.65/22.27 tff(10077,plain,
% 33.65/22.27 (v101(constB62)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10076, 10066])).
% 33.65/22.27 tff(10078,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10079,plain,
% 33.65/22.27 (((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62)) <=> ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10080,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))))),
% 33.65/22.27 inference(monotonicity,[status(thm)],[10079])).
% 33.65/22.27 tff(10081,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 33.65/22.27 inference(transitivity,[status(thm)],[10080, 10078])).
% 33.65/22.27 tff(10082,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))),
% 33.65/22.27 inference(quant_inst,[status(thm)],[])).
% 33.65/22.27 tff(10083,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10082, 10081])).
% 33.65/22.27 tff(10084,plain,
% 33.65/22.27 (v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10083, 656, 9998])).
% 33.65/22.27 tff(10085,plain,
% 33.65/22.27 (v100(constB62) | (~v110(constB62))),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10084, 10077])).
% 33.65/22.27 tff(10086,plain,
% 33.65/22.27 (v100(constB62)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10085, 10054])).
% 33.65/22.27 tff(10087,plain,
% 33.65/22.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10088,plain,
% 33.65/22.27 (((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2)) <=> ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10089,plain,
% 33.65/22.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62))))),
% 33.65/22.27 inference(monotonicity,[status(thm)],[10088])).
% 33.65/22.27 tff(10090,plain,
% 33.65/22.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 33.65/22.27 inference(transitivity,[status(thm)],[10089, 10087])).
% 33.65/22.27 tff(10091,plain,
% 33.65/22.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2))),
% 33.65/22.27 inference(quant_inst,[status(thm)],[])).
% 33.65/22.27 tff(10092,plain,
% 33.65/22.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62))),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10091, 10090])).
% 33.65/22.27 tff(10093,plain,
% 33.65/22.27 (~v90(constB62, bitIndex2)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10092, 722, 10086, 10003])).
% 33.65/22.27 tff(10094,plain,
% 33.65/22.27 ((~v1(constB63)) <=> (~v1(constB63))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10095,axiom,(~v1(constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 33.65/22.27 tff(10096,plain,
% 33.65/22.27 (~v1(constB63)),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10095, 10094])).
% 33.65/22.27 tff(10097,plain,
% 33.65/22.27 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10098,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 33.65/22.27 tff(10099,plain,
% 33.65/22.27 (nextState(constB62, constB63)),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10098, 10097])).
% 33.65/22.27 tff(10100,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10101,plain,
% 33.65/22.27 (((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10102,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))))),
% 33.65/22.27 inference(monotonicity,[status(thm)],[10101])).
% 33.65/22.27 tff(10103,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 33.65/22.27 inference(transitivity,[status(thm)],[10102, 10100])).
% 33.65/22.27 tff(10104,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))),
% 33.65/22.27 inference(quant_inst,[status(thm)],[])).
% 33.65/22.27 tff(10105,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10104, 10103])).
% 33.65/22.27 tff(10106,plain,
% 33.65/22.27 (~v101(constB63)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10105, 381, 10099, 10096])).
% 33.65/22.27 tff(10107,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10108,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 33.65/22.27 inference(quant_inst,[status(thm)],[])).
% 33.65/22.27 tff(10109,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63))),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10108, 10107])).
% 33.65/22.27 tff(10110,plain,
% 33.65/22.27 (v101(constB63) | (~v100(constB63))),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10109, 398, 10099])).
% 33.65/22.27 tff(10111,plain,
% 33.65/22.27 (~v100(constB63)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10110, 10106])).
% 33.65/22.27 tff(10112,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10113,plain,
% 33.65/22.27 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))) <=> (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10114,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2))))),
% 33.65/22.27 inference(monotonicity,[status(thm)],[10113])).
% 33.65/22.27 tff(10115,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 33.65/22.27 inference(transitivity,[status(thm)],[10114, 10112])).
% 33.65/22.27 tff(10116,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 33.65/22.27 inference(quant_inst,[status(thm)],[])).
% 33.65/22.27 tff(10117,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2))),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10116, 10115])).
% 33.65/22.27 tff(10118,plain,
% 33.65/22.27 (v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10117, 413, 10099])).
% 33.65/22.27 tff(10119,plain,
% 33.65/22.27 (v90(constB62, bitIndex2) | (~v90(constB63, bitIndex2))),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10118, 10111])).
% 33.65/22.27 tff(10120,plain,
% 33.65/22.27 (~v90(constB63, bitIndex2)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10119, 10093])).
% 33.65/22.27 tff(10121,plain,
% 33.65/22.27 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10122,plain,
% 33.65/22.27 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1))) <=> (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10123,plain,
% 33.65/22.27 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1))))),
% 33.65/22.27 inference(monotonicity,[status(thm)],[10122])).
% 33.65/22.27 tff(10124,plain,
% 33.65/22.27 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1)))),
% 33.65/22.27 inference(transitivity,[status(thm)],[10123, 10121])).
% 33.65/22.27 tff(10125,plain,
% 33.65/22.27 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))),
% 33.65/22.27 inference(quant_inst,[status(thm)],[])).
% 33.65/22.27 tff(10126,plain,
% 33.65/22.27 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1))),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10125, 10124])).
% 33.65/22.27 tff(10127,plain,
% 33.65/22.27 (v124(constB61) | v123(constB61) | (~v130(constB61, bitIndex1))),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10126, 2448, 9975, 9971, 9967, 9963])).
% 33.65/22.27 tff(10128,plain,
% 33.65/22.27 (~v130(constB61, bitIndex1)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10127, 9832, 9828])).
% 33.65/22.27 tff(10129,plain,
% 33.65/22.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10130,plain,
% 33.65/22.27 ((v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1))) <=> ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10131,plain,
% 33.65/22.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)))),
% 33.65/22.27 inference(monotonicity,[status(thm)],[10130])).
% 33.65/22.27 tff(10132,plain,
% 33.65/22.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 33.65/22.27 inference(transitivity,[status(thm)],[10131, 10129])).
% 33.65/22.27 tff(10133,plain,
% 33.65/22.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))),
% 33.65/22.27 inference(quant_inst,[status(thm)],[])).
% 33.65/22.27 tff(10134,plain,
% 33.65/22.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10133, 10132])).
% 33.65/22.27 tff(10135,plain,
% 33.65/22.27 ((~v127(constB61, bitIndex1)) | v130(constB61, bitIndex1)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10134, 781, 9987])).
% 33.65/22.27 tff(10136,plain,
% 33.65/22.27 (~v127(constB61, bitIndex1)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10135, 10128])).
% 33.65/22.27 tff(10137,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10138,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 33.65/22.27 inference(quant_inst,[status(thm)],[])).
% 33.65/22.27 tff(10139,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10138, 10137])).
% 33.65/22.27 tff(10140,plain,
% 33.65/22.27 (v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10139, 799, 9998])).
% 33.65/22.27 tff(10141,plain,
% 33.65/22.27 (~v129(constB62, bitIndex1)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10140, 10136])).
% 33.65/22.27 tff(10142,plain,
% 33.65/22.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10143,plain,
% 33.65/22.27 (((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1)) <=> ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10144,plain,
% 33.65/22.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))))),
% 33.65/22.27 inference(monotonicity,[status(thm)],[10143])).
% 33.65/22.27 tff(10145,plain,
% 33.65/22.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 33.65/22.27 inference(transitivity,[status(thm)],[10144, 10142])).
% 33.65/22.27 tff(10146,plain,
% 33.65/22.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))),
% 33.65/22.27 inference(quant_inst,[status(thm)],[])).
% 33.65/22.27 tff(10147,plain,
% 33.65/22.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10146, 10145])).
% 33.65/22.27 tff(10148,plain,
% 33.65/22.27 (~v90(constB62, bitIndex1)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10147, 814, 10086, 10141])).
% 33.65/22.27 tff(10149,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10150,plain,
% 33.65/22.27 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))) <=> (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10151,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1))))),
% 33.65/22.27 inference(monotonicity,[status(thm)],[10150])).
% 33.65/22.27 tff(10152,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 33.65/22.27 inference(transitivity,[status(thm)],[10151, 10149])).
% 33.65/22.27 tff(10153,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 33.65/22.27 inference(quant_inst,[status(thm)],[])).
% 33.65/22.27 tff(10154,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10153, 10152])).
% 33.65/22.27 tff(10155,plain,
% 33.65/22.27 (v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10154, 434, 10099])).
% 33.65/22.27 tff(10156,plain,
% 33.65/22.27 (v90(constB62, bitIndex1) | (~v90(constB63, bitIndex1))),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10155, 10111])).
% 33.65/22.27 tff(10157,plain,
% 33.65/22.27 (~v90(constB63, bitIndex1)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10156, 10148])).
% 33.65/22.27 tff(10158,plain,
% 33.65/22.27 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10159,plain,
% 33.65/22.27 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0)) <=> (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10160,plain,
% 33.65/22.27 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0)))),
% 33.65/22.27 inference(monotonicity,[status(thm)],[10159])).
% 33.65/22.27 tff(10161,plain,
% 33.65/22.27 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0))),
% 33.65/22.27 inference(transitivity,[status(thm)],[10160, 10158])).
% 33.65/22.27 tff(10162,plain,
% 33.65/22.27 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))),
% 33.65/22.27 inference(quant_inst,[status(thm)],[])).
% 33.65/22.27 tff(10163,plain,
% 33.65/22.27 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0)),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10162, 10161])).
% 33.65/22.27 tff(10164,plain,
% 33.65/22.27 (v124(constB61) | v123(constB61) | v130(constB61, bitIndex0)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10163, 2495, 9975, 9971, 9967, 9963])).
% 33.65/22.27 tff(10165,plain,
% 33.65/22.27 (v130(constB61, bitIndex0)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10164, 9832, 9828])).
% 33.65/22.27 tff(10166,plain,
% 33.65/22.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10167,plain,
% 33.65/22.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))),
% 33.65/22.27 inference(quant_inst,[status(thm)],[])).
% 33.65/22.27 tff(10168,plain,
% 33.65/22.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0)),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10167, 10166])).
% 33.65/22.27 tff(10169,plain,
% 33.65/22.27 ((~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10168, 855, 9987])).
% 33.65/22.27 tff(10170,plain,
% 33.65/22.27 (v127(constB61, bitIndex0)),
% 33.65/22.27 inference(unit_resolution,[status(thm)],[10169, 10165])).
% 33.65/22.27 tff(10171,plain,
% 33.65/22.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))),
% 33.65/22.27 inference(rewrite,[status(thm)],[])).
% 33.65/22.27 tff(10172,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))),
% 33.65/22.27 inference(quant_inst,[status(thm)],[])).
% 33.65/22.27 tff(10173,plain,
% 33.65/22.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0)),
% 33.65/22.27 inference(modus_ponens,[status(thm)],[10172, 10171])).
% 33.65/22.27 tff(10174,plain,
% 33.65/22.27 ((~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10173, 870, 9998])).
% 33.65/22.28 tff(10175,plain,
% 33.65/22.28 (v129(constB62, bitIndex0)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10174, 10170])).
% 33.65/22.28 tff(10176,plain,
% 33.65/22.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10177,plain,
% 33.65/22.28 ((v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0))) <=> (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10178,plain,
% 33.65/22.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62))))),
% 33.65/22.28 inference(monotonicity,[status(thm)],[10177])).
% 33.65/22.28 tff(10179,plain,
% 33.65/22.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 33.65/22.28 inference(transitivity,[status(thm)],[10178, 10176])).
% 33.65/22.28 tff(10180,plain,
% 33.65/22.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10181,plain,
% 33.65/22.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62))),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10180, 10179])).
% 33.65/22.28 tff(10182,plain,
% 33.65/22.28 (v90(constB62, bitIndex0)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10181, 885, 10086, 10175])).
% 33.65/22.28 tff(10183,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10184,plain,
% 33.65/22.28 (((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0)) <=> ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10185,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0)))),
% 33.65/22.28 inference(monotonicity,[status(thm)],[10184])).
% 33.65/22.28 tff(10186,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 33.65/22.28 inference(transitivity,[status(thm)],[10185, 10183])).
% 33.65/22.28 tff(10187,plain,
% 33.65/22.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10188,plain,
% 33.65/22.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0)),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10187, 10186])).
% 33.65/22.28 tff(10189,plain,
% 33.65/22.28 ((~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10188, 903, 10099])).
% 33.65/22.28 tff(10190,plain,
% 33.65/22.28 ((~v90(constB62, bitIndex0)) | v90(constB63, bitIndex0)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10189, 10111])).
% 33.65/22.28 tff(10191,plain,
% 33.65/22.28 (v90(constB63, bitIndex0)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10190, 10182])).
% 33.65/22.28 tff(10192,plain,
% 33.65/22.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10193,plain,
% 33.65/22.28 (((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2)) <=> ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10194,plain,
% 33.65/22.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63)))),
% 33.65/22.28 inference(monotonicity,[status(thm)],[10193])).
% 33.65/22.28 tff(10195,plain,
% 33.65/22.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 33.65/22.28 inference(transitivity,[status(thm)],[10194, 10192])).
% 33.65/22.28 tff(10196,plain,
% 33.65/22.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10197,plain,
% 33.65/22.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63)),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10196, 10195])).
% 33.65/22.28 tff(10198,plain,
% 33.65/22.28 (v120(constB63)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10197, 922, 10191, 10157, 10120])).
% 33.65/22.28 tff(10199,assumption,(v120(constB63)), introduced(assumption)).
% 33.65/22.28 tff(10200,plain,
% 33.65/22.28 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB63) | (~v120(constB63)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB63) | (~v120(constB63)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10201,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB63) | (~v120(constB63)))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10202,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB63) | (~v120(constB63))),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10201, 10200])).
% 33.65/22.28 tff(10203,plain,
% 33.65/22.28 (v118(constB63)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10202, 936, 10199])).
% 33.65/22.28 tff(10204,plain,
% 33.65/22.28 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB63) | (~v118(constB63)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB63) | (~v118(constB63)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10205,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB63) | (~v118(constB63)))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10206,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB63) | (~v118(constB63))),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10205, 10204])).
% 33.65/22.28 tff(10207,plain,
% 33.65/22.28 (v117(constB63)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10206, 498, 10203])).
% 33.65/22.28 tff(10208,plain,
% 33.65/22.28 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB63) | (~v117(constB63)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB63) | (~v117(constB63)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10209,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB63) | (~v117(constB63)))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10210,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB63) | (~v117(constB63))),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10209, 10208])).
% 33.65/22.28 tff(10211,plain,
% 33.65/22.28 (v116(constB63)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10210, 509, 10207])).
% 33.65/22.28 tff(10212,plain,
% 33.65/22.28 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB63) | (~v116(constB63)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB63) | (~v116(constB63)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10213,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB63) | (~v116(constB63)))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10214,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB63) | (~v116(constB63))),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10213, 10212])).
% 33.65/22.28 tff(10215,plain,
% 33.65/22.28 (v115(constB63)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10214, 520, 10211])).
% 33.65/22.28 tff(10216,plain,
% 33.65/22.28 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB63) | (~v115(constB63)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB63) | (~v115(constB63)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10217,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB63) | (~v115(constB63)))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10218,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB63) | (~v115(constB63))),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10217, 10216])).
% 33.65/22.28 tff(10219,plain,
% 33.65/22.28 (v114(constB63)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10218, 531, 10215])).
% 33.65/22.28 tff(10220,plain,
% 33.65/22.28 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB63) | (~v114(constB63)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB63) | (~v114(constB63)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10221,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB63) | (~v114(constB63)))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10222,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB63) | (~v114(constB63))),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10221, 10220])).
% 33.65/22.28 tff(10223,plain,
% 33.65/22.28 (v113(constB63)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10222, 542, 10219])).
% 33.65/22.28 tff(10224,assumption,(v26(constB63)), introduced(assumption)).
% 33.65/22.28 tff(10225,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB63))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10226,plain,
% 33.65/22.28 ($false),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10225, 120, 10224])).
% 33.65/22.28 tff(10227,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 33.65/22.28 tff(10228,plain,
% 33.65/22.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | v112(constB63) | (~v113(constB63)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10229,plain,
% 33.65/22.28 ((v26(constB63) | (~v113(constB63)) | v112(constB63)) <=> (v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10230,plain,
% 33.65/22.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | v112(constB63) | (~v113(constB63))))),
% 33.65/22.28 inference(monotonicity,[status(thm)],[10229])).
% 33.65/22.28 tff(10231,plain,
% 33.65/22.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 33.65/22.28 inference(transitivity,[status(thm)],[10230, 10228])).
% 33.65/22.28 tff(10232,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10233,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63))),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10232, 10231])).
% 33.65/22.28 tff(10234,plain,
% 33.65/22.28 (v112(constB63) | (~v113(constB63))),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10233, 556, 10227])).
% 33.65/22.28 tff(10235,plain,
% 33.65/22.28 (v112(constB63)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10234, 10223])).
% 33.65/22.28 tff(10236,plain,
% 33.65/22.28 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB63) | (~v112(constB63)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10237,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB63) | (~v112(constB63)))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10238,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB63) | (~v112(constB63))),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10237, 10236])).
% 33.65/22.28 tff(10239,plain,
% 33.65/22.28 (v108(constB63)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10238, 568, 10235])).
% 33.65/22.28 tff(10240,plain,
% 33.65/22.28 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10241,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 33.65/22.28 tff(10242,plain,
% 33.65/22.28 (nextState(constB63, constB64)),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10241, 10240])).
% 33.65/22.28 tff(10243,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10244,plain,
% 33.65/22.28 (((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64)) <=> ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10245,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))))),
% 33.65/22.28 inference(monotonicity,[status(thm)],[10244])).
% 33.65/22.28 tff(10246,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 33.65/22.28 inference(transitivity,[status(thm)],[10245, 10243])).
% 33.65/22.28 tff(10247,plain,
% 33.65/22.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10248,plain,
% 33.65/22.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10247, 10246])).
% 33.65/22.28 tff(10249,plain,
% 33.65/22.28 (v110(constB64) | (~v108(constB63))),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10248, 585, 10242])).
% 33.65/22.28 tff(10250,plain,
% 33.65/22.28 (v110(constB64)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10249, 10239])).
% 33.65/22.28 tff(10251,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10252,plain,
% 33.65/22.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10253,plain,
% 33.65/22.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64))),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10252, 10251])).
% 33.65/22.28 tff(10254,plain,
% 33.65/22.28 (~v104(constB64)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10253, 603, 10242, 10096])).
% 33.65/22.28 tff(10255,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10256,plain,
% 33.65/22.28 (((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64)) <=> ((~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10257,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | v102(constB64)))),
% 33.65/22.28 inference(monotonicity,[status(thm)],[10256])).
% 33.65/22.28 tff(10258,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))),
% 33.65/22.28 inference(transitivity,[status(thm)],[10257, 10255])).
% 33.65/22.28 tff(10259,plain,
% 33.65/22.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10260,plain,
% 33.65/22.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | v102(constB64)),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10259, 10258])).
% 33.65/22.28 tff(10261,plain,
% 33.65/22.28 (v104(constB64) | v102(constB64)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10260, 617, 10242])).
% 33.65/22.28 tff(10262,plain,
% 33.65/22.28 (v102(constB64)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10261, 10254])).
% 33.65/22.28 tff(10263,plain,
% 33.65/22.28 (v1(constB64) <=> v1(constB64)),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10264,axiom,(v1(constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 33.65/22.28 tff(10265,plain,
% 33.65/22.28 (v1(constB64)),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10264, 10263])).
% 33.65/22.28 tff(10266,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10267,plain,
% 33.65/22.28 (((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64))) <=> ((~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10268,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64))))),
% 33.65/22.28 inference(monotonicity,[status(thm)],[10267])).
% 33.65/22.28 tff(10269,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))),
% 33.65/22.28 inference(transitivity,[status(thm)],[10268, 10266])).
% 33.65/22.28 tff(10270,plain,
% 33.65/22.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10271,plain,
% 33.65/22.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64))),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10270, 10269])).
% 33.65/22.28 tff(10272,plain,
% 33.65/22.28 (v101(constB64) | (~v102(constB64))),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10271, 638, 10242, 10265])).
% 33.65/22.28 tff(10273,plain,
% 33.65/22.28 (v101(constB64)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10272, 10262])).
% 33.65/22.28 tff(10274,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10275,plain,
% 33.65/22.28 (((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64)) <=> ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10276,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))))),
% 33.65/22.28 inference(monotonicity,[status(thm)],[10275])).
% 33.65/22.28 tff(10277,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 33.65/22.28 inference(transitivity,[status(thm)],[10276, 10274])).
% 33.65/22.28 tff(10278,plain,
% 33.65/22.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10279,plain,
% 33.65/22.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10278, 10277])).
% 33.65/22.28 tff(10280,plain,
% 33.65/22.28 (v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10279, 656, 10242])).
% 33.65/22.28 tff(10281,plain,
% 33.65/22.28 (v100(constB64) | (~v110(constB64))),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10280, 10273])).
% 33.65/22.28 tff(10282,plain,
% 33.65/22.28 (v100(constB64)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10281, 10250])).
% 33.65/22.28 tff(10283,plain,
% 33.65/22.28 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB63)) | (~v130(constB63, bitIndex2)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10284,plain,
% 33.65/22.28 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex2)))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10285,plain,
% 33.65/22.28 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB63)) | (~v130(constB63, bitIndex2))),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10284, 10283])).
% 33.65/22.28 tff(10286,plain,
% 33.65/22.28 (~v130(constB63, bitIndex2)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10285, 1025, 10199])).
% 33.65/22.28 tff(10287,plain,
% 33.65/22.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10288,plain,
% 33.65/22.28 ((v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2))) <=> ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10289,plain,
% 33.65/22.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2)))),
% 33.65/22.28 inference(monotonicity,[status(thm)],[10288])).
% 33.65/22.28 tff(10290,plain,
% 33.65/22.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 33.65/22.28 inference(transitivity,[status(thm)],[10289, 10287])).
% 33.65/22.28 tff(10291,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10292,plain,
% 33.65/22.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2)),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10291, 10290])).
% 33.65/22.28 tff(10293,plain,
% 33.65/22.28 ((~v127(constB63, bitIndex2)) | v130(constB63, bitIndex2)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10292, 689, 10227])).
% 33.65/22.28 tff(10294,plain,
% 33.65/22.28 (~v127(constB63, bitIndex2)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10293, 10286])).
% 33.65/22.28 tff(10295,plain,
% 33.65/22.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10296,plain,
% 33.65/22.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10297,plain,
% 33.65/22.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 33.65/22.28 inference(modus_ponens,[status(thm)],[10296, 10295])).
% 33.65/22.28 tff(10298,plain,
% 33.65/22.28 (v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10297, 707, 10242])).
% 33.65/22.28 tff(10299,plain,
% 33.65/22.28 (~v129(constB64, bitIndex2)),
% 33.65/22.28 inference(unit_resolution,[status(thm)],[10298, 10294])).
% 33.65/22.28 tff(10300,plain,
% 33.65/22.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10301,plain,
% 33.65/22.28 (((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2)) <=> ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 33.65/22.28 inference(rewrite,[status(thm)],[])).
% 33.65/22.28 tff(10302,plain,
% 33.65/22.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64))))),
% 33.65/22.28 inference(monotonicity,[status(thm)],[10301])).
% 33.65/22.28 tff(10303,plain,
% 33.65/22.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 33.65/22.28 inference(transitivity,[status(thm)],[10302, 10300])).
% 33.65/22.28 tff(10304,plain,
% 33.65/22.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2))),
% 33.65/22.28 inference(quant_inst,[status(thm)],[])).
% 33.65/22.28 tff(10305,plain,
% 33.65/22.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64))),
% 33.65/22.29 inference(modus_ponens,[status(thm)],[10304, 10303])).
% 33.65/22.29 tff(10306,plain,
% 33.65/22.29 ((~v90(constB64, bitIndex2)) | (~v100(constB64))),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10305, 722, 10299])).
% 33.65/22.29 tff(10307,plain,
% 33.65/22.29 (~v90(constB64, bitIndex2)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10306, 10282])).
% 33.65/22.29 tff(10308,plain,
% 33.65/22.29 ((~v1(constB65)) <=> (~v1(constB65))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10309,axiom,(~v1(constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 33.65/22.29 tff(10310,plain,
% 33.65/22.29 (~v1(constB65)),
% 33.65/22.29 inference(modus_ponens,[status(thm)],[10309, 10308])).
% 33.65/22.29 tff(10311,plain,
% 33.65/22.29 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10312,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 33.65/22.29 tff(10313,plain,
% 33.65/22.29 (nextState(constB64, constB65)),
% 33.65/22.29 inference(modus_ponens,[status(thm)],[10312, 10311])).
% 33.65/22.29 tff(10314,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10315,plain,
% 33.65/22.29 (((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10316,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))))),
% 33.65/22.29 inference(monotonicity,[status(thm)],[10315])).
% 33.65/22.29 tff(10317,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 33.65/22.29 inference(transitivity,[status(thm)],[10316, 10314])).
% 33.65/22.29 tff(10318,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))),
% 33.65/22.29 inference(quant_inst,[status(thm)],[])).
% 33.65/22.29 tff(10319,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))),
% 33.65/22.29 inference(modus_ponens,[status(thm)],[10318, 10317])).
% 33.65/22.29 tff(10320,plain,
% 33.65/22.29 (~v101(constB65)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10319, 381, 10313, 10310])).
% 33.65/22.29 tff(10321,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10322,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 33.65/22.29 inference(quant_inst,[status(thm)],[])).
% 33.65/22.29 tff(10323,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65))),
% 33.65/22.29 inference(modus_ponens,[status(thm)],[10322, 10321])).
% 33.65/22.29 tff(10324,plain,
% 33.65/22.29 (v101(constB65) | (~v100(constB65))),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10323, 398, 10313])).
% 33.65/22.29 tff(10325,plain,
% 33.65/22.29 (~v100(constB65)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10324, 10320])).
% 33.65/22.29 tff(10326,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10327,plain,
% 33.65/22.29 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))) <=> (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10328,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2))))),
% 33.65/22.29 inference(monotonicity,[status(thm)],[10327])).
% 33.65/22.29 tff(10329,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 33.65/22.29 inference(transitivity,[status(thm)],[10328, 10326])).
% 33.65/22.29 tff(10330,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 33.65/22.29 inference(quant_inst,[status(thm)],[])).
% 33.65/22.29 tff(10331,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2))),
% 33.65/22.29 inference(modus_ponens,[status(thm)],[10330, 10329])).
% 33.65/22.29 tff(10332,plain,
% 33.65/22.29 (v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10331, 413, 10313])).
% 33.65/22.29 tff(10333,plain,
% 33.65/22.29 (v90(constB64, bitIndex2) | (~v90(constB65, bitIndex2))),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10332, 10325])).
% 33.65/22.29 tff(10334,plain,
% 33.65/22.29 (~v90(constB65, bitIndex2)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10333, 10307])).
% 33.65/22.29 tff(10335,plain,
% 33.65/22.29 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB63)) | (~v130(constB63, bitIndex0)))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10336,plain,
% 33.65/22.29 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex0)))),
% 33.65/22.29 inference(quant_inst,[status(thm)],[])).
% 33.65/22.29 tff(10337,plain,
% 33.65/22.29 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB63)) | (~v130(constB63, bitIndex0))),
% 33.65/22.29 inference(modus_ponens,[status(thm)],[10336, 10335])).
% 33.65/22.29 tff(10338,plain,
% 33.65/22.29 (~v130(constB63, bitIndex0)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10337, 1168, 10199])).
% 33.65/22.29 tff(10339,plain,
% 33.65/22.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10340,plain,
% 33.65/22.29 ((v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0))) <=> ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10341,plain,
% 33.65/22.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)))),
% 33.65/22.29 inference(monotonicity,[status(thm)],[10340])).
% 33.65/22.29 tff(10342,plain,
% 33.65/22.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 33.65/22.29 inference(transitivity,[status(thm)],[10341, 10339])).
% 33.65/22.29 tff(10343,plain,
% 33.65/22.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))),
% 33.65/22.29 inference(quant_inst,[status(thm)],[])).
% 33.65/22.29 tff(10344,plain,
% 33.65/22.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)),
% 33.65/22.29 inference(modus_ponens,[status(thm)],[10343, 10342])).
% 33.65/22.29 tff(10345,plain,
% 33.65/22.29 ((~v127(constB63, bitIndex0)) | v130(constB63, bitIndex0)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10344, 1182, 10227])).
% 33.65/22.29 tff(10346,plain,
% 33.65/22.29 (~v127(constB63, bitIndex0)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10345, 10338])).
% 33.65/22.29 tff(10347,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10348,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 33.65/22.29 inference(quant_inst,[status(thm)],[])).
% 33.65/22.29 tff(10349,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 33.65/22.29 inference(modus_ponens,[status(thm)],[10348, 10347])).
% 33.65/22.29 tff(10350,plain,
% 33.65/22.29 (v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10349, 1200, 10242])).
% 33.65/22.29 tff(10351,plain,
% 33.65/22.29 (~v129(constB64, bitIndex0)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10350, 10346])).
% 33.65/22.29 tff(10352,plain,
% 33.65/22.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10353,plain,
% 33.65/22.29 (((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0)) <=> ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10354,plain,
% 33.65/22.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))))),
% 33.65/22.29 inference(monotonicity,[status(thm)],[10353])).
% 33.65/22.29 tff(10355,plain,
% 33.65/22.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 33.65/22.29 inference(transitivity,[status(thm)],[10354, 10352])).
% 33.65/22.29 tff(10356,plain,
% 33.65/22.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))),
% 33.65/22.29 inference(quant_inst,[status(thm)],[])).
% 33.65/22.29 tff(10357,plain,
% 33.65/22.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))),
% 33.65/22.29 inference(modus_ponens,[status(thm)],[10356, 10355])).
% 33.65/22.29 tff(10358,plain,
% 33.65/22.29 ((~v90(constB64, bitIndex0)) | (~v100(constB64))),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10357, 1215, 10351])).
% 33.65/22.29 tff(10359,plain,
% 33.65/22.29 (~v90(constB64, bitIndex0)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10358, 10282])).
% 33.65/22.29 tff(10360,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10361,plain,
% 33.65/22.29 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))) <=> (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10362,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0))))),
% 33.65/22.29 inference(monotonicity,[status(thm)],[10361])).
% 33.65/22.29 tff(10363,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 33.65/22.29 inference(transitivity,[status(thm)],[10362, 10360])).
% 33.65/22.29 tff(10364,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 33.65/22.29 inference(quant_inst,[status(thm)],[])).
% 33.65/22.29 tff(10365,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 33.65/22.29 inference(modus_ponens,[status(thm)],[10364, 10363])).
% 33.65/22.29 tff(10366,plain,
% 33.65/22.29 (v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10365, 455, 10313])).
% 33.65/22.29 tff(10367,plain,
% 33.65/22.29 (v90(constB64, bitIndex0) | (~v90(constB65, bitIndex0))),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10366, 10325])).
% 33.65/22.29 tff(10368,plain,
% 33.65/22.29 (~v90(constB65, bitIndex0)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10367, 10359])).
% 33.65/22.29 tff(10369,assumption,(~v90(constB65, bitIndex0)), introduced(assumption)).
% 33.65/22.29 tff(10370,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex0))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10371,plain,
% 33.65/22.29 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex0)) | v100(constB65) | v90(constB65, bitIndex0)) <=> ((~v90(constB64, bitIndex0)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex0))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10372,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex0)) | v100(constB65) | v90(constB65, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex0)))),
% 33.65/22.29 inference(monotonicity,[status(thm)],[10371])).
% 33.65/22.29 tff(10373,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex0)) | v100(constB65) | v90(constB65, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex0))),
% 33.65/22.29 inference(transitivity,[status(thm)],[10372, 10370])).
% 33.65/22.29 tff(10374,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex0)) | v100(constB65) | v90(constB65, bitIndex0))),
% 33.65/22.29 inference(quant_inst,[status(thm)],[])).
% 33.65/22.29 tff(10375,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex0)),
% 33.65/22.29 inference(modus_ponens,[status(thm)],[10374, 10373])).
% 33.65/22.29 tff(10376,plain,
% 33.65/22.29 ((~v90(constB64, bitIndex0)) | v100(constB65) | v90(constB65, bitIndex0)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10375, 903, 10313])).
% 33.65/22.29 tff(10377,plain,
% 33.65/22.29 ((~v90(constB64, bitIndex0)) | v90(constB65, bitIndex0)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10376, 10325])).
% 33.65/22.29 tff(10378,plain,
% 33.65/22.29 (~v90(constB64, bitIndex0)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10377, 10369])).
% 33.65/22.29 tff(10379,assumption,(~v90(constB65, bitIndex2)), introduced(assumption)).
% 33.65/22.29 tff(10380,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10381,plain,
% 33.65/22.29 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2)) <=> ((~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10382,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2)))),
% 33.65/22.29 inference(monotonicity,[status(thm)],[10381])).
% 33.65/22.29 tff(10383,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))),
% 33.65/22.29 inference(transitivity,[status(thm)],[10382, 10380])).
% 33.65/22.29 tff(10384,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2))),
% 33.65/22.29 inference(quant_inst,[status(thm)],[])).
% 33.65/22.29 tff(10385,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2)),
% 33.65/22.29 inference(modus_ponens,[status(thm)],[10384, 10383])).
% 33.65/22.29 tff(10386,plain,
% 33.65/22.29 ((~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10385, 1658, 10313])).
% 33.65/22.29 tff(10387,plain,
% 33.65/22.29 ((~v90(constB64, bitIndex2)) | v90(constB65, bitIndex2)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10386, 10325])).
% 33.65/22.29 tff(10388,plain,
% 33.65/22.29 (~v90(constB64, bitIndex2)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10387, 10379])).
% 33.65/22.29 tff(10389,assumption,(~v121(constB65)), introduced(assumption)).
% 33.65/22.29 tff(10390,plain,
% 33.65/22.29 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10391,plain,
% 33.65/22.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65))),
% 33.65/22.29 inference(quant_inst,[status(thm)],[])).
% 33.65/22.29 tff(10392,plain,
% 33.65/22.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65)),
% 33.65/22.29 inference(modus_ponens,[status(thm)],[10391, 10390])).
% 33.65/22.29 tff(10393,plain,
% 33.65/22.29 (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10392, 1242, 10389])).
% 33.65/22.29 tff(10394,plain,
% 33.65/22.29 (~v90(constB65, bitIndex1)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10393, 10379, 10369])).
% 33.65/22.29 tff(10395,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10396,plain,
% 33.65/22.29 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)) <=> ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 33.65/22.29 inference(rewrite,[status(thm)],[])).
% 33.65/22.29 tff(10397,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1)))),
% 33.65/22.29 inference(monotonicity,[status(thm)],[10396])).
% 33.65/22.29 tff(10398,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 33.65/22.29 inference(transitivity,[status(thm)],[10397, 10395])).
% 33.65/22.29 tff(10399,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))),
% 33.65/22.29 inference(quant_inst,[status(thm)],[])).
% 33.65/22.29 tff(10400,plain,
% 33.65/22.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1)),
% 33.65/22.29 inference(modus_ponens,[status(thm)],[10399, 10398])).
% 33.65/22.29 tff(10401,plain,
% 33.65/22.29 ((~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10400, 1149, 10313])).
% 33.65/22.29 tff(10402,plain,
% 33.65/22.29 ((~v90(constB64, bitIndex1)) | v90(constB65, bitIndex1)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10401, 10325])).
% 33.65/22.29 tff(10403,plain,
% 33.65/22.29 (~v90(constB64, bitIndex1)),
% 33.65/22.29 inference(unit_resolution,[status(thm)],[10402, 10394])).
% 33.65/22.29 tff(10404,assumption,(~v90(constB64, bitIndex2)), introduced(assumption)).
% 33.65/22.29 tff(10405,assumption,(~v100(constB64)), introduced(assumption)).
% 33.65/22.29 tff(10406,plain,
% 33.65/22.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB63, bitIndex2)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB63, bitIndex2)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex2))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10407,plain,
% 33.65/22.30 (((~nextState(constB63, constB64)) | (~v90(constB63, bitIndex2)) | v100(constB64) | v90(constB64, bitIndex2)) <=> ((~v90(constB63, bitIndex2)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex2))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10408,plain,
% 33.65/22.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v90(constB63, bitIndex2)) | v100(constB64) | v90(constB64, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB63, bitIndex2)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex2)))),
% 33.65/22.30 inference(monotonicity,[status(thm)],[10407])).
% 33.65/22.30 tff(10409,plain,
% 33.65/22.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v90(constB63, bitIndex2)) | v100(constB64) | v90(constB64, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB63, bitIndex2)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex2))),
% 33.65/22.30 inference(transitivity,[status(thm)],[10408, 10406])).
% 33.65/22.30 tff(10410,plain,
% 33.65/22.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v90(constB63, bitIndex2)) | v100(constB64) | v90(constB64, bitIndex2))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10411,plain,
% 33.65/22.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB63, bitIndex2)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex2)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10410, 10409])).
% 33.65/22.30 tff(10412,plain,
% 33.65/22.30 ((~v90(constB63, bitIndex2)) | v100(constB64) | v90(constB64, bitIndex2)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10411, 1658, 10242])).
% 33.65/22.30 tff(10413,plain,
% 33.65/22.30 (~v90(constB63, bitIndex2)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10412, 10405, 10404])).
% 33.65/22.30 tff(10414,assumption,(~v90(constB64, bitIndex0)), introduced(assumption)).
% 33.65/22.30 tff(10415,plain,
% 33.65/22.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB63, bitIndex0)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB63, bitIndex0)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex0))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10416,plain,
% 33.65/22.30 (((~nextState(constB63, constB64)) | (~v90(constB63, bitIndex0)) | v100(constB64) | v90(constB64, bitIndex0)) <=> ((~v90(constB63, bitIndex0)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex0))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10417,plain,
% 33.65/22.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB63, constB64)) | (~v90(constB63, bitIndex0)) | v100(constB64) | v90(constB64, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB63, bitIndex0)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex0)))),
% 33.65/22.30 inference(monotonicity,[status(thm)],[10416])).
% 33.65/22.30 tff(10418,plain,
% 33.65/22.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB63, constB64)) | (~v90(constB63, bitIndex0)) | v100(constB64) | v90(constB64, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB63, bitIndex0)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex0))),
% 33.65/22.30 inference(transitivity,[status(thm)],[10417, 10415])).
% 33.65/22.30 tff(10419,plain,
% 33.65/22.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB63, constB64)) | (~v90(constB63, bitIndex0)) | v100(constB64) | v90(constB64, bitIndex0))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10420,plain,
% 33.65/22.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB63, bitIndex0)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex0)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10419, 10418])).
% 33.65/22.30 tff(10421,plain,
% 33.65/22.30 ((~v90(constB63, bitIndex0)) | v100(constB64) | v90(constB64, bitIndex0)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10420, 903, 10242])).
% 33.65/22.30 tff(10422,plain,
% 33.65/22.30 (~v90(constB63, bitIndex0)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10421, 10405, 10414])).
% 33.65/22.30 tff(10423,assumption,(~v90(constB64, bitIndex1)), introduced(assumption)).
% 33.65/22.30 tff(10424,plain,
% 33.65/22.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB63, bitIndex1)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB63, bitIndex1)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex1))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10425,plain,
% 33.65/22.30 (((~nextState(constB63, constB64)) | (~v90(constB63, bitIndex1)) | v100(constB64) | v90(constB64, bitIndex1)) <=> ((~v90(constB63, bitIndex1)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex1))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10426,plain,
% 33.65/22.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v90(constB63, bitIndex1)) | v100(constB64) | v90(constB64, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB63, bitIndex1)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex1)))),
% 33.65/22.30 inference(monotonicity,[status(thm)],[10425])).
% 33.65/22.30 tff(10427,plain,
% 33.65/22.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v90(constB63, bitIndex1)) | v100(constB64) | v90(constB64, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB63, bitIndex1)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex1))),
% 33.65/22.30 inference(transitivity,[status(thm)],[10426, 10424])).
% 33.65/22.30 tff(10428,plain,
% 33.65/22.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v90(constB63, bitIndex1)) | v100(constB64) | v90(constB64, bitIndex1))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10429,plain,
% 33.65/22.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB63, bitIndex1)) | (~nextState(constB63, constB64)) | v100(constB64) | v90(constB64, bitIndex1)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10428, 10427])).
% 33.65/22.30 tff(10430,plain,
% 33.65/22.30 ((~v90(constB63, bitIndex1)) | v100(constB64) | v90(constB64, bitIndex1)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10429, 1149, 10242])).
% 33.65/22.30 tff(10431,plain,
% 33.65/22.30 (~v90(constB63, bitIndex1)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10430, 10405, 10423])).
% 33.65/22.30 tff(10432,assumption,(v119(constB63)), introduced(assumption)).
% 33.65/22.30 tff(10433,plain,
% 33.65/22.30 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB63) | (~v119(constB63)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB63) | (~v119(constB63)))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10434,plain,
% 33.65/22.30 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB63) | (~v119(constB63)))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10435,plain,
% 33.65/22.30 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB63) | (~v119(constB63))),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10434, 10433])).
% 33.65/22.30 tff(10436,plain,
% 33.65/22.30 (v118(constB63)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10435, 487, 10432])).
% 33.65/22.30 tff(10437,plain,
% 33.65/22.30 (v117(constB63)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10206, 498, 10436])).
% 33.65/22.30 tff(10438,plain,
% 33.65/22.30 (v116(constB63)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10210, 509, 10437])).
% 33.65/22.30 tff(10439,plain,
% 33.65/22.30 (v115(constB63)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10214, 520, 10438])).
% 33.65/22.30 tff(10440,plain,
% 33.65/22.30 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB63)) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB63)) | v130(constB63, bitIndex0))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10441,plain,
% 33.65/22.30 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB63)) | v130(constB63, bitIndex0))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10442,plain,
% 33.65/22.30 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB63)) | v130(constB63, bitIndex0)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10441, 10440])).
% 33.65/22.30 tff(10443,plain,
% 33.65/22.30 (v130(constB63, bitIndex0)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10442, 841, 10432])).
% 33.65/22.30 tff(10444,plain,
% 33.65/22.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB63) | (~v130(constB63, bitIndex0)) | v127(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB63) | (~v130(constB63, bitIndex0)) | v127(constB63, bitIndex0))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10445,plain,
% 33.65/22.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB63) | (~v130(constB63, bitIndex0)) | v127(constB63, bitIndex0))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10446,plain,
% 33.65/22.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB63) | (~v130(constB63, bitIndex0)) | v127(constB63, bitIndex0)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10445, 10444])).
% 33.65/22.30 tff(10447,plain,
% 33.65/22.30 ((~v130(constB63, bitIndex0)) | v127(constB63, bitIndex0)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10446, 855, 10227])).
% 33.65/22.30 tff(10448,plain,
% 33.65/22.30 (v127(constB63, bitIndex0)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10447, 10443])).
% 33.65/22.30 tff(10449,plain,
% 33.65/22.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex0)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex0)) | v129(constB64, bitIndex0))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10450,plain,
% 33.65/22.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex0)) | v129(constB64, bitIndex0))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10451,plain,
% 33.65/22.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex0)) | v129(constB64, bitIndex0)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10450, 10449])).
% 33.65/22.30 tff(10452,plain,
% 33.65/22.30 ((~v127(constB63, bitIndex0)) | v129(constB64, bitIndex0)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10451, 870, 10242])).
% 33.65/22.30 tff(10453,plain,
% 33.65/22.30 (v129(constB64, bitIndex0)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10452, 10448])).
% 33.65/22.30 tff(10454,plain,
% 33.65/22.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~v129(constB64, bitIndex0)) | (~v100(constB64)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~v129(constB64, bitIndex0)) | (~v100(constB64)))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10455,plain,
% 33.65/22.30 ((v90(constB64, bitIndex0) | (~v100(constB64)) | (~v129(constB64, bitIndex0))) <=> (v90(constB64, bitIndex0) | (~v129(constB64, bitIndex0)) | (~v100(constB64)))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10456,plain,
% 33.65/22.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~v100(constB64)) | (~v129(constB64, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~v129(constB64, bitIndex0)) | (~v100(constB64))))),
% 33.65/22.30 inference(monotonicity,[status(thm)],[10455])).
% 33.65/22.30 tff(10457,plain,
% 33.65/22.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~v100(constB64)) | (~v129(constB64, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~v129(constB64, bitIndex0)) | (~v100(constB64)))),
% 33.65/22.30 inference(transitivity,[status(thm)],[10456, 10454])).
% 33.65/22.30 tff(10458,plain,
% 33.65/22.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~v100(constB64)) | (~v129(constB64, bitIndex0)))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10459,plain,
% 33.65/22.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~v129(constB64, bitIndex0)) | (~v100(constB64))),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10458, 10457])).
% 33.65/22.30 tff(10460,plain,
% 33.65/22.30 ((~v129(constB64, bitIndex0)) | (~v100(constB64))),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10459, 885, 10414])).
% 33.65/22.30 tff(10461,plain,
% 33.65/22.30 (~v100(constB64)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10460, 10453])).
% 33.65/22.30 tff(10462,plain,
% 33.65/22.30 (~v110(constB64)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10281, 10461])).
% 33.65/22.30 tff(10463,plain,
% 33.65/22.30 (~v108(constB63)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10249, 10462])).
% 33.65/22.30 tff(10464,plain,
% 33.65/22.30 (~v112(constB63)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10238, 568, 10463])).
% 33.65/22.30 tff(10465,plain,
% 33.65/22.30 (~v113(constB63)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10234, 10464])).
% 33.65/22.30 tff(10466,plain,
% 33.65/22.30 (~v114(constB63)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10222, 542, 10465])).
% 33.65/22.30 tff(10467,plain,
% 33.65/22.30 ($false),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10218, 531, 10466, 10439])).
% 33.65/22.30 tff(10468,plain,((~v119(constB63)) | v90(constB64, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 33.65/22.30 tff(10469,plain,
% 33.65/22.30 (~v119(constB63)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10468, 10414])).
% 33.65/22.30 tff(10470,plain,
% 33.65/22.30 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB63) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB63) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10471,plain,
% 33.65/22.30 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB63) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10472,plain,
% 33.65/22.30 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB63) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10471, 10470])).
% 33.65/22.30 tff(10473,plain,
% 33.65/22.30 (v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10472, 476, 10469])).
% 33.65/22.30 tff(10474,plain,
% 33.65/22.30 ($false),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10473, 10431, 10422, 10413])).
% 33.65/22.30 tff(10475,plain,(v100(constB64) | v90(constB64, bitIndex1) | v90(constB64, bitIndex2) | v90(constB64, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 33.65/22.30 tff(10476,plain,
% 33.65/22.30 (v100(constB64)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10475, 10403, 10388, 10378])).
% 33.65/22.30 tff(10477,plain,
% 33.65/22.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10478,plain,
% 33.65/22.30 ((v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1))) <=> (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10479,plain,
% 33.65/22.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))))),
% 33.65/22.30 inference(monotonicity,[status(thm)],[10478])).
% 33.65/22.30 tff(10480,plain,
% 33.65/22.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 33.65/22.30 inference(transitivity,[status(thm)],[10479, 10477])).
% 33.65/22.30 tff(10481,plain,
% 33.65/22.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10482,plain,
% 33.65/22.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10481, 10480])).
% 33.65/22.30 tff(10483,plain,
% 33.65/22.30 ((~v129(constB64, bitIndex1)) | (~v100(constB64))),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10482, 1131, 10403])).
% 33.65/22.30 tff(10484,plain,
% 33.65/22.30 (~v129(constB64, bitIndex1)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10483, 10476])).
% 33.65/22.30 tff(10485,plain,
% 33.65/22.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10486,plain,
% 33.65/22.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10487,plain,
% 33.65/22.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10486, 10485])).
% 33.65/22.30 tff(10488,plain,
% 33.65/22.30 ((~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10487, 1116, 10242])).
% 33.65/22.30 tff(10489,plain,
% 33.65/22.30 (~v127(constB63, bitIndex1)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10488, 10484])).
% 33.65/22.30 tff(10490,plain,
% 33.65/22.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10491,plain,
% 33.65/22.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10492,plain,
% 33.65/22.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10491, 10490])).
% 33.65/22.30 tff(10493,plain,
% 33.65/22.30 ((~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10492, 1101, 10227])).
% 33.65/22.30 tff(10494,plain,
% 33.65/22.30 (~v130(constB63, bitIndex1)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10493, 10489])).
% 33.65/22.30 tff(10495,plain,
% 33.65/22.30 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB63)) | v130(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB63)) | v130(constB63, bitIndex1))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10496,plain,
% 33.65/22.30 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB63)) | v130(constB63, bitIndex1))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10497,plain,
% 33.65/22.30 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB63)) | v130(constB63, bitIndex1)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10496, 10495])).
% 33.65/22.30 tff(10498,plain,
% 33.65/22.30 (~v120(constB63)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10497, 1087, 10494])).
% 33.65/22.30 tff(10499,plain,
% 33.65/22.30 ((~v129(constB64, bitIndex0)) | (~v100(constB64))),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10459, 885, 10378])).
% 33.65/22.30 tff(10500,plain,
% 33.65/22.30 (~v129(constB64, bitIndex0)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10499, 10476])).
% 33.65/22.30 tff(10501,plain,
% 33.65/22.30 (~v127(constB63, bitIndex0)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10452, 10500])).
% 33.65/22.30 tff(10502,plain,
% 33.65/22.30 (~v130(constB63, bitIndex0)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10447, 10501])).
% 33.65/22.30 tff(10503,plain,
% 33.65/22.30 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB63)) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB63)) | v130(constB63, bitIndex0))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10504,plain,
% 33.65/22.30 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB63)) | v130(constB63, bitIndex0))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10505,plain,
% 33.65/22.30 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB63)) | v130(constB63, bitIndex0)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10504, 10503])).
% 33.65/22.30 tff(10506,plain,
% 33.65/22.30 (~v121(constB63)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10505, 1445, 10502])).
% 33.65/22.30 tff(10507,plain,
% 33.65/22.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10508,plain,
% 33.65/22.30 ((v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2))) <=> (v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10509,plain,
% 33.65/22.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64))))),
% 33.65/22.30 inference(monotonicity,[status(thm)],[10508])).
% 33.65/22.30 tff(10510,plain,
% 33.65/22.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))),
% 33.65/22.30 inference(transitivity,[status(thm)],[10509, 10507])).
% 33.65/22.30 tff(10511,plain,
% 33.65/22.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2)))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10512,plain,
% 33.65/22.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64))),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10511, 10510])).
% 33.65/22.30 tff(10513,plain,
% 33.65/22.30 ((~v129(constB64, bitIndex2)) | (~v100(constB64))),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10512, 1622, 10388])).
% 33.65/22.30 tff(10514,plain,
% 33.65/22.30 (~v129(constB64, bitIndex2)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10513, 10476])).
% 33.65/22.30 tff(10515,plain,
% 33.65/22.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10516,plain,
% 33.65/22.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10517,plain,
% 33.65/22.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10516, 10515])).
% 33.65/22.30 tff(10518,plain,
% 33.65/22.30 ((~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10517, 1607, 10242])).
% 33.65/22.30 tff(10519,plain,
% 33.65/22.30 (~v127(constB63, bitIndex2)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10518, 10514])).
% 33.65/22.30 tff(10520,plain,
% 33.65/22.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10521,plain,
% 33.65/22.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10522,plain,
% 33.65/22.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10521, 10520])).
% 33.65/22.30 tff(10523,plain,
% 33.65/22.30 ((~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10522, 1592, 10227])).
% 33.65/22.30 tff(10524,plain,
% 33.65/22.30 (~v130(constB63, bitIndex2)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10523, 10519])).
% 33.65/22.30 tff(10525,plain,
% 33.65/22.30 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB63)) | v130(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB63)) | v130(constB63, bitIndex2))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10526,plain,
% 33.65/22.30 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB63)) | v130(constB63, bitIndex2))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10527,plain,
% 33.65/22.30 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB63)) | v130(constB63, bitIndex2)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10526, 10525])).
% 33.65/22.30 tff(10528,plain,
% 33.65/22.30 (~v122(constB63)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10527, 1578, 10524])).
% 33.65/22.30 tff(10529,plain,
% 33.65/22.30 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB63)) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB63)) | v130(constB63, bitIndex0))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10530,plain,
% 33.65/22.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB63)) | v130(constB63, bitIndex0))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10531,plain,
% 33.65/22.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB63)) | v130(constB63, bitIndex0)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10530, 10529])).
% 33.65/22.30 tff(10532,plain,
% 33.65/22.30 (~v123(constB63)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10531, 1953, 10502])).
% 33.65/22.30 tff(10533,plain,
% 33.65/22.30 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB63)) | v130(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB63)) | v130(constB63, bitIndex2))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10534,plain,
% 33.65/22.30 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB63)) | v130(constB63, bitIndex2))),
% 33.65/22.30 inference(quant_inst,[status(thm)],[])).
% 33.65/22.30 tff(10535,plain,
% 33.65/22.30 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB63)) | v130(constB63, bitIndex2)),
% 33.65/22.30 inference(modus_ponens,[status(thm)],[10534, 10533])).
% 33.65/22.30 tff(10536,plain,
% 33.65/22.30 (~v124(constB63)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10535, 2075, 10524])).
% 33.65/22.30 tff(10537,plain,
% 33.65/22.30 (~v119(constB63)),
% 33.65/22.30 inference(unit_resolution,[status(thm)],[10468, 10378])).
% 33.65/22.30 tff(10538,plain,
% 33.65/22.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB63) | v123(constB63) | v122(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB63) | v123(constB63) | v122(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v130(constB63, bitIndex0))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.30 tff(10539,plain,
% 33.65/22.30 ((v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | v130(constB63, bitIndex0)) <=> (v124(constB63) | v123(constB63) | v122(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v130(constB63, bitIndex0))),
% 33.65/22.30 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10540,plain,
% 33.65/22.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB63) | v123(constB63) | v122(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v130(constB63, bitIndex0)))),
% 33.65/22.31 inference(monotonicity,[status(thm)],[10539])).
% 33.65/22.31 tff(10541,plain,
% 33.65/22.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB63) | v123(constB63) | v122(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v130(constB63, bitIndex0))),
% 33.65/22.31 inference(transitivity,[status(thm)],[10540, 10538])).
% 33.65/22.31 tff(10542,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | v130(constB63, bitIndex0))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10543,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB63) | v123(constB63) | v122(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v130(constB63, bitIndex0)),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10542, 10541])).
% 33.65/22.31 tff(10544,plain,
% 33.65/22.31 (v124(constB63) | v123(constB63) | v122(constB63) | v121(constB63) | v120(constB63) | v130(constB63, bitIndex0)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10543, 2495, 10537])).
% 33.65/22.31 tff(10545,plain,
% 33.65/22.31 ($false),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10544, 10536, 10532, 10502, 10528, 10506, 10498])).
% 33.65/22.31 tff(10546,plain,(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | v121(constB65)), inference(lemma,lemma(discharge,[]))).
% 33.65/22.31 tff(10547,plain,
% 33.65/22.31 (v121(constB65)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10546, 10368, 10334])).
% 33.65/22.31 tff(10548,plain,
% 33.65/22.31 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB65) | (~v121(constB65)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB65) | (~v121(constB65)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10549,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB65) | (~v121(constB65)))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10550,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB65) | (~v121(constB65))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10549, 10548])).
% 33.65/22.31 tff(10551,plain,
% 33.65/22.31 (v117(constB65)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10550, 1253, 10547])).
% 33.65/22.31 tff(10552,plain,
% 33.65/22.31 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB65) | (~v117(constB65)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB65) | (~v117(constB65)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10553,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB65) | (~v117(constB65)))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10554,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB65) | (~v117(constB65))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10553, 10552])).
% 33.65/22.31 tff(10555,plain,
% 33.65/22.31 (v116(constB65)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10554, 509, 10551])).
% 33.65/22.31 tff(10556,plain,
% 33.65/22.31 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB65) | (~v116(constB65)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB65) | (~v116(constB65)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10557,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB65) | (~v116(constB65)))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10558,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB65) | (~v116(constB65))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10557, 10556])).
% 33.65/22.31 tff(10559,plain,
% 33.65/22.31 (v115(constB65)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10558, 520, 10555])).
% 33.65/22.31 tff(10560,plain,
% 33.65/22.31 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB65) | (~v115(constB65)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB65) | (~v115(constB65)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10561,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB65) | (~v115(constB65)))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10562,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB65) | (~v115(constB65))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10561, 10560])).
% 33.65/22.31 tff(10563,plain,
% 33.65/22.31 (v114(constB65)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10562, 531, 10559])).
% 33.65/22.31 tff(10564,plain,
% 33.65/22.31 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB65) | (~v114(constB65)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB65) | (~v114(constB65)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10565,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB65) | (~v114(constB65)))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10566,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB65) | (~v114(constB65))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10565, 10564])).
% 33.65/22.31 tff(10567,plain,
% 33.65/22.31 (v113(constB65)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10566, 542, 10563])).
% 33.65/22.31 tff(10568,assumption,(v26(constB65)), introduced(assumption)).
% 33.65/22.31 tff(10569,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB65))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10570,plain,
% 33.65/22.31 ($false),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10569, 120, 10568])).
% 33.65/22.31 tff(10571,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 33.65/22.31 tff(10572,plain,
% 33.65/22.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | v112(constB65) | (~v113(constB65)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10573,plain,
% 33.65/22.31 ((v26(constB65) | (~v113(constB65)) | v112(constB65)) <=> (v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10574,plain,
% 33.65/22.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | v112(constB65) | (~v113(constB65))))),
% 33.65/22.31 inference(monotonicity,[status(thm)],[10573])).
% 33.65/22.31 tff(10575,plain,
% 33.65/22.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 33.65/22.31 inference(transitivity,[status(thm)],[10574, 10572])).
% 33.65/22.31 tff(10576,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10577,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10576, 10575])).
% 33.65/22.31 tff(10578,plain,
% 33.65/22.31 (v112(constB65) | (~v113(constB65))),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10577, 556, 10571])).
% 33.65/22.31 tff(10579,plain,
% 33.65/22.31 (v112(constB65)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10578, 10567])).
% 33.65/22.31 tff(10580,plain,
% 33.65/22.31 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB65) | (~v112(constB65)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB65) | (~v112(constB65)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10581,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB65) | (~v112(constB65)))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10582,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB65) | (~v112(constB65))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10581, 10580])).
% 33.65/22.31 tff(10583,plain,
% 33.65/22.31 (v108(constB65)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10582, 568, 10579])).
% 33.65/22.31 tff(10584,plain,
% 33.65/22.31 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10585,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 33.65/22.31 tff(10586,plain,
% 33.65/22.31 (nextState(constB65, constB66)),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10585, 10584])).
% 33.65/22.31 tff(10587,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10588,plain,
% 33.65/22.31 (((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66)) <=> ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10589,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))))),
% 33.65/22.31 inference(monotonicity,[status(thm)],[10588])).
% 33.65/22.31 tff(10590,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 33.65/22.31 inference(transitivity,[status(thm)],[10589, 10587])).
% 33.65/22.31 tff(10591,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10592,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10591, 10590])).
% 33.65/22.31 tff(10593,plain,
% 33.65/22.31 (v110(constB66) | (~v108(constB65))),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10592, 585, 10586])).
% 33.65/22.31 tff(10594,plain,
% 33.65/22.31 (v110(constB66)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10593, 10583])).
% 33.65/22.31 tff(10595,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10596,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10597,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10596, 10595])).
% 33.65/22.31 tff(10598,plain,
% 33.65/22.31 (~v104(constB66)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10597, 603, 10586, 10310])).
% 33.65/22.31 tff(10599,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10600,plain,
% 33.65/22.31 (((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66)) <=> ((~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10601,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v102(constB66)))),
% 33.65/22.31 inference(monotonicity,[status(thm)],[10600])).
% 33.65/22.31 tff(10602,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))),
% 33.65/22.31 inference(transitivity,[status(thm)],[10601, 10599])).
% 33.65/22.31 tff(10603,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10604,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | v102(constB66)),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10603, 10602])).
% 33.65/22.31 tff(10605,plain,
% 33.65/22.31 (v104(constB66) | v102(constB66)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10604, 617, 10586])).
% 33.65/22.31 tff(10606,plain,
% 33.65/22.31 (v102(constB66)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10605, 10598])).
% 33.65/22.31 tff(10607,plain,
% 33.65/22.31 (v1(constB66) <=> v1(constB66)),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10608,axiom,(v1(constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 33.65/22.31 tff(10609,plain,
% 33.65/22.31 (v1(constB66)),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10608, 10607])).
% 33.65/22.31 tff(10610,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10611,plain,
% 33.65/22.31 (((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66))) <=> ((~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10612,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66))))),
% 33.65/22.31 inference(monotonicity,[status(thm)],[10611])).
% 33.65/22.31 tff(10613,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))),
% 33.65/22.31 inference(transitivity,[status(thm)],[10612, 10610])).
% 33.65/22.31 tff(10614,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10615,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10614, 10613])).
% 33.65/22.31 tff(10616,plain,
% 33.65/22.31 (v101(constB66) | (~v102(constB66))),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10615, 638, 10586, 10609])).
% 33.65/22.31 tff(10617,plain,
% 33.65/22.31 (v101(constB66)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10616, 10606])).
% 33.65/22.31 tff(10618,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10619,plain,
% 33.65/22.31 (((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66)) <=> ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10620,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))))),
% 33.65/22.31 inference(monotonicity,[status(thm)],[10619])).
% 33.65/22.31 tff(10621,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 33.65/22.31 inference(transitivity,[status(thm)],[10620, 10618])).
% 33.65/22.31 tff(10622,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10623,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10622, 10621])).
% 33.65/22.31 tff(10624,plain,
% 33.65/22.31 (v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10623, 656, 10586])).
% 33.65/22.31 tff(10625,plain,
% 33.65/22.31 (v100(constB66) | (~v110(constB66))),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10624, 10617])).
% 33.65/22.31 tff(10626,plain,
% 33.65/22.31 (v100(constB66)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10625, 10594])).
% 33.65/22.31 tff(10627,plain,
% 33.65/22.31 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v130(constB65, bitIndex2)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10628,plain,
% 33.65/22.31 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v130(constB65, bitIndex2)))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10629,plain,
% 33.65/22.31 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v130(constB65, bitIndex2))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10628, 10627])).
% 33.65/22.31 tff(10630,plain,
% 33.65/22.31 (~v130(constB65, bitIndex2)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10629, 1342, 10547])).
% 33.65/22.31 tff(10631,plain,
% 33.65/22.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10632,plain,
% 33.65/22.31 ((v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2))) <=> ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10633,plain,
% 33.65/22.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)))),
% 33.65/22.31 inference(monotonicity,[status(thm)],[10632])).
% 33.65/22.31 tff(10634,plain,
% 33.65/22.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 33.65/22.31 inference(transitivity,[status(thm)],[10633, 10631])).
% 33.65/22.31 tff(10635,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10636,plain,
% 33.65/22.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10635, 10634])).
% 33.65/22.31 tff(10637,plain,
% 33.65/22.31 ((~v127(constB65, bitIndex2)) | v130(constB65, bitIndex2)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10636, 689, 10571])).
% 33.65/22.31 tff(10638,plain,
% 33.65/22.31 (~v127(constB65, bitIndex2)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10637, 10630])).
% 33.65/22.31 tff(10639,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10640,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10641,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10640, 10639])).
% 33.65/22.31 tff(10642,plain,
% 33.65/22.31 (v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10641, 707, 10586])).
% 33.65/22.31 tff(10643,plain,
% 33.65/22.31 (~v129(constB66, bitIndex2)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10642, 10638])).
% 33.65/22.31 tff(10644,plain,
% 33.65/22.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10645,plain,
% 33.65/22.31 (((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2)) <=> ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10646,plain,
% 33.65/22.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66))))),
% 33.65/22.31 inference(monotonicity,[status(thm)],[10645])).
% 33.65/22.31 tff(10647,plain,
% 33.65/22.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 33.65/22.31 inference(transitivity,[status(thm)],[10646, 10644])).
% 33.65/22.31 tff(10648,plain,
% 33.65/22.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10649,plain,
% 33.65/22.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10648, 10647])).
% 33.65/22.31 tff(10650,plain,
% 33.65/22.31 ((~v90(constB66, bitIndex2)) | (~v100(constB66))),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10649, 722, 10643])).
% 33.65/22.31 tff(10651,plain,
% 33.65/22.31 (~v90(constB66, bitIndex2)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10650, 10626])).
% 33.65/22.31 tff(10652,plain,
% 33.65/22.31 ((~v1(constB67)) <=> (~v1(constB67))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10653,axiom,(~v1(constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 33.65/22.31 tff(10654,plain,
% 33.65/22.31 (~v1(constB67)),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10653, 10652])).
% 33.65/22.31 tff(10655,plain,
% 33.65/22.31 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10656,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 33.65/22.31 tff(10657,plain,
% 33.65/22.31 (nextState(constB66, constB67)),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10656, 10655])).
% 33.65/22.31 tff(10658,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10659,plain,
% 33.65/22.31 (((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10660,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))))),
% 33.65/22.31 inference(monotonicity,[status(thm)],[10659])).
% 33.65/22.31 tff(10661,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 33.65/22.31 inference(transitivity,[status(thm)],[10660, 10658])).
% 33.65/22.31 tff(10662,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10663,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10662, 10661])).
% 33.65/22.31 tff(10664,plain,
% 33.65/22.31 (~v101(constB67)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10663, 381, 10657, 10654])).
% 33.65/22.31 tff(10665,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10666,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 33.65/22.31 inference(quant_inst,[status(thm)],[])).
% 33.65/22.31 tff(10667,plain,
% 33.65/22.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67))),
% 33.65/22.31 inference(modus_ponens,[status(thm)],[10666, 10665])).
% 33.65/22.31 tff(10668,plain,
% 33.65/22.31 (v101(constB67) | (~v100(constB67))),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10667, 398, 10657])).
% 33.65/22.31 tff(10669,plain,
% 33.65/22.31 (~v100(constB67)),
% 33.65/22.31 inference(unit_resolution,[status(thm)],[10668, 10664])).
% 33.65/22.31 tff(10670,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10671,plain,
% 33.65/22.31 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))) <=> (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 33.65/22.31 inference(rewrite,[status(thm)],[])).
% 33.65/22.31 tff(10672,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2))))),
% 33.65/22.31 inference(monotonicity,[status(thm)],[10671])).
% 33.65/22.31 tff(10673,plain,
% 33.65/22.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 33.72/22.32 inference(transitivity,[status(thm)],[10672, 10670])).
% 33.72/22.32 tff(10674,plain,
% 33.72/22.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10675,plain,
% 33.72/22.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10674, 10673])).
% 33.72/22.32 tff(10676,plain,
% 33.72/22.32 (v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10675, 413, 10657])).
% 33.72/22.32 tff(10677,plain,
% 33.72/22.32 (v90(constB66, bitIndex2) | (~v90(constB67, bitIndex2))),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10676, 10669])).
% 33.72/22.32 tff(10678,plain,
% 33.72/22.32 (~v90(constB67, bitIndex2)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10677, 10651])).
% 33.72/22.32 tff(10679,plain,
% 33.72/22.32 (v130(constB63, bitIndex1)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10497, 1087, 10199])).
% 33.72/22.32 tff(10680,plain,
% 33.72/22.32 (v127(constB63, bitIndex1)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10493, 10679])).
% 33.72/22.32 tff(10681,plain,
% 33.72/22.32 (v129(constB64, bitIndex1)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10488, 10680])).
% 33.72/22.32 tff(10682,plain,
% 33.72/22.32 (v90(constB64, bitIndex1) | (~v100(constB64))),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10482, 1131, 10681])).
% 33.72/22.32 tff(10683,plain,
% 33.72/22.32 (v90(constB64, bitIndex1)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10682, 10282])).
% 33.72/22.32 tff(10684,plain,
% 33.72/22.32 (v90(constB65, bitIndex1)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10402, 10683])).
% 33.72/22.32 tff(10685,plain,
% 33.72/22.32 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v123(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v123(constB65)))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10686,plain,
% 33.72/22.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v123(constB65)))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10687,plain,
% 33.72/22.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v123(constB65))),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10686, 10685])).
% 33.72/22.32 tff(10688,plain,
% 33.72/22.32 (~v123(constB65)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10687, 2194, 10684])).
% 33.72/22.32 tff(10689,plain,
% 33.72/22.32 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v120(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v120(constB65)))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10690,plain,
% 33.72/22.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v120(constB65)))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10691,plain,
% 33.72/22.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v120(constB65))),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10690, 10689])).
% 33.72/22.32 tff(10692,plain,
% 33.72/22.32 (~v120(constB65)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10691, 2183, 10684])).
% 33.72/22.32 tff(10693,plain,
% 33.72/22.32 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v124(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v124(constB65)))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10694,plain,
% 33.72/22.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v124(constB65)))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10695,plain,
% 33.72/22.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v124(constB65))),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10694, 10693])).
% 33.72/22.32 tff(10696,plain,
% 33.72/22.32 (~v124(constB65)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10695, 2205, 10684])).
% 33.72/22.32 tff(10697,plain,
% 33.72/22.32 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v122(VarCurr))))),
% 33.72/22.32 inference(bind,[status(th)],[])).
% 33.72/22.32 tff(10698,plain,
% 33.72/22.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 33.72/22.32 inference(quant_intro,[status(thm)],[10697])).
% 33.72/22.32 tff(10699,plain,
% 33.72/22.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10700,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 33.72/22.32 tff(10701,plain,
% 33.72/22.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10700, 10699])).
% 33.72/22.32 tff(10702,plain,(
% 33.72/22.32 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 33.72/22.32 inference(skolemize,[status(sab)],[10701])).
% 33.72/22.32 tff(10703,plain,
% 33.72/22.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10702, 10698])).
% 33.72/22.32 tff(10704,plain,
% 33.72/22.32 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB65, bitIndex0) | (~v122(constB65)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB65, bitIndex0) | (~v122(constB65)))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10705,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB65, bitIndex0) | (~v122(constB65)))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10706,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB65, bitIndex0) | (~v122(constB65))),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10705, 10704])).
% 33.72/22.32 tff(10707,plain,
% 33.72/22.32 (~v122(constB65)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10706, 10703, 10368])).
% 33.72/22.32 tff(10708,assumption,(~v130(constB65, bitIndex0)), introduced(assumption)).
% 33.72/22.32 tff(10709,assumption,(~v123(constB65)), introduced(assumption)).
% 33.72/22.32 tff(10710,plain,
% 33.72/22.32 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB65)) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB65)) | v130(constB65, bitIndex0))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10711,plain,
% 33.72/22.32 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB65)) | v130(constB65, bitIndex0))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10712,plain,
% 33.72/22.32 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB65)) | v130(constB65, bitIndex0)),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10711, 10710])).
% 33.72/22.32 tff(10713,plain,
% 33.72/22.32 (~v121(constB65)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10712, 1445, 10708])).
% 33.72/22.32 tff(10714,plain,
% 33.72/22.32 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB65)) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB65)) | v130(constB65, bitIndex0))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10715,plain,
% 33.72/22.32 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB65)) | v130(constB65, bitIndex0))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10716,plain,
% 33.72/22.32 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB65)) | v130(constB65, bitIndex0)),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10715, 10714])).
% 33.72/22.32 tff(10717,plain,
% 33.72/22.32 (~v119(constB65)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10716, 841, 10708])).
% 33.72/22.32 tff(10718,assumption,(~v120(constB65)), introduced(assumption)).
% 33.72/22.32 tff(10719,assumption,(~v122(constB65)), introduced(assumption)).
% 33.72/22.32 tff(10720,assumption,(~v124(constB65)), introduced(assumption)).
% 33.72/22.32 tff(10721,plain,
% 33.72/22.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10722,plain,
% 33.72/22.32 ((v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0)) <=> (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10723,plain,
% 33.72/22.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0)))),
% 33.72/22.32 inference(monotonicity,[status(thm)],[10722])).
% 33.72/22.32 tff(10724,plain,
% 33.72/22.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0))),
% 33.72/22.32 inference(transitivity,[status(thm)],[10723, 10721])).
% 33.72/22.32 tff(10725,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10726,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | v130(constB65, bitIndex0)),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10725, 10724])).
% 33.72/22.32 tff(10727,plain,
% 33.72/22.32 (v123(constB65) | v121(constB65) | v119(constB65) | v130(constB65, bitIndex0)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10726, 2495, 10720, 10719, 10718])).
% 33.72/22.32 tff(10728,plain,
% 33.72/22.32 ($false),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10727, 10717, 10713, 10709, 10708])).
% 33.72/22.32 tff(10729,plain,(v130(constB65, bitIndex0) | v123(constB65) | v124(constB65) | v122(constB65) | v120(constB65)), inference(lemma,lemma(discharge,[]))).
% 33.72/22.32 tff(10730,plain,
% 33.72/22.32 (v130(constB65, bitIndex0)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10729, 10707, 10696, 10692, 10688])).
% 33.72/22.32 tff(10731,plain,
% 33.72/22.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10732,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10733,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10732, 10731])).
% 33.72/22.32 tff(10734,plain,
% 33.72/22.32 ((~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10733, 855, 10571])).
% 33.72/22.32 tff(10735,plain,
% 33.72/22.32 (v127(constB65, bitIndex0)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10734, 10730])).
% 33.72/22.32 tff(10736,plain,
% 33.72/22.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10737,plain,
% 33.72/22.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10738,plain,
% 33.72/22.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10737, 10736])).
% 33.72/22.32 tff(10739,plain,
% 33.72/22.32 ((~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10738, 870, 10586])).
% 33.72/22.32 tff(10740,plain,
% 33.72/22.32 (v129(constB66, bitIndex0)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10739, 10735])).
% 33.72/22.32 tff(10741,plain,
% 33.72/22.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10742,plain,
% 33.72/22.32 ((v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0))) <=> (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10743,plain,
% 33.72/22.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))))),
% 33.72/22.32 inference(monotonicity,[status(thm)],[10742])).
% 33.72/22.32 tff(10744,plain,
% 33.72/22.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 33.72/22.32 inference(transitivity,[status(thm)],[10743, 10741])).
% 33.72/22.32 tff(10745,plain,
% 33.72/22.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10746,plain,
% 33.72/22.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10745, 10744])).
% 33.72/22.32 tff(10747,plain,
% 33.72/22.32 (v90(constB66, bitIndex0) | (~v100(constB66))),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10746, 885, 10740])).
% 33.72/22.32 tff(10748,plain,
% 33.72/22.32 (v90(constB66, bitIndex0)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10747, 10626])).
% 33.72/22.32 tff(10749,plain,
% 33.72/22.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10750,plain,
% 33.72/22.32 (((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)) <=> ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10751,plain,
% 33.72/22.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)))),
% 33.72/22.32 inference(monotonicity,[status(thm)],[10750])).
% 33.72/22.32 tff(10752,plain,
% 33.72/22.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 33.72/22.32 inference(transitivity,[status(thm)],[10751, 10749])).
% 33.72/22.32 tff(10753,plain,
% 33.72/22.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10754,plain,
% 33.72/22.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10753, 10752])).
% 33.72/22.32 tff(10755,plain,
% 33.72/22.32 ((~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10754, 903, 10657])).
% 33.72/22.32 tff(10756,plain,
% 33.72/22.32 ((~v90(constB66, bitIndex0)) | v90(constB67, bitIndex0)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10755, 10669])).
% 33.72/22.32 tff(10757,plain,
% 33.72/22.32 (v90(constB67, bitIndex0)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10756, 10748])).
% 33.72/22.32 tff(10758,plain,
% 33.72/22.32 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB65)) | v130(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB65)) | v130(constB65, bitIndex1))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10759,plain,
% 33.72/22.32 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB65)) | v130(constB65, bitIndex1))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10760,plain,
% 33.72/22.32 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB65)) | v130(constB65, bitIndex1)),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10759, 10758])).
% 33.72/22.32 tff(10761,plain,
% 33.72/22.32 (v130(constB65, bitIndex1)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10760, 1404, 10547])).
% 33.72/22.32 tff(10762,plain,
% 33.72/22.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10763,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10764,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1)),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10763, 10762])).
% 33.72/22.32 tff(10765,plain,
% 33.72/22.32 ((~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10764, 1101, 10571])).
% 33.72/22.32 tff(10766,plain,
% 33.72/22.32 (v127(constB65, bitIndex1)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10765, 10761])).
% 33.72/22.32 tff(10767,plain,
% 33.72/22.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10768,plain,
% 33.72/22.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10769,plain,
% 33.72/22.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1)),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10768, 10767])).
% 33.72/22.32 tff(10770,plain,
% 33.72/22.32 ((~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10769, 1116, 10586])).
% 33.72/22.32 tff(10771,plain,
% 33.72/22.32 (v129(constB66, bitIndex1)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10770, 10766])).
% 33.72/22.32 tff(10772,plain,
% 33.72/22.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10773,plain,
% 33.72/22.32 ((v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1))) <=> (v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10774,plain,
% 33.72/22.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66))))),
% 33.72/22.32 inference(monotonicity,[status(thm)],[10773])).
% 33.72/22.32 tff(10775,plain,
% 33.72/22.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))),
% 33.72/22.32 inference(transitivity,[status(thm)],[10774, 10772])).
% 33.72/22.32 tff(10776,plain,
% 33.72/22.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1)))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10777,plain,
% 33.72/22.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66))),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10776, 10775])).
% 33.72/22.32 tff(10778,plain,
% 33.72/22.32 (v90(constB66, bitIndex1) | (~v100(constB66))),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10777, 1131, 10771])).
% 33.72/22.32 tff(10779,plain,
% 33.72/22.32 (v90(constB66, bitIndex1)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10778, 10626])).
% 33.72/22.32 tff(10780,plain,
% 33.72/22.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10781,plain,
% 33.72/22.32 (((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1)) <=> ((~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10782,plain,
% 33.72/22.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1)))),
% 33.72/22.32 inference(monotonicity,[status(thm)],[10781])).
% 33.72/22.32 tff(10783,plain,
% 33.72/22.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))),
% 33.72/22.32 inference(transitivity,[status(thm)],[10782, 10780])).
% 33.72/22.32 tff(10784,plain,
% 33.72/22.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10785,plain,
% 33.72/22.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1)),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10784, 10783])).
% 33.72/22.32 tff(10786,plain,
% 33.72/22.32 ((~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10785, 1149, 10657])).
% 33.72/22.32 tff(10787,plain,
% 33.72/22.32 ((~v90(constB66, bitIndex1)) | v90(constB67, bitIndex1)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10786, 10669])).
% 33.72/22.32 tff(10788,plain,
% 33.72/22.32 (v90(constB67, bitIndex1)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10787, 10779])).
% 33.72/22.32 tff(10789,assumption,(~v122(constB67)), introduced(assumption)).
% 33.72/22.32 tff(10790,plain,
% 33.72/22.32 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10791,plain,
% 33.72/22.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10792,plain,
% 33.72/22.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67)),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10791, 10790])).
% 33.72/22.32 tff(10793,plain,
% 33.72/22.32 ((~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10792, 1486, 10789])).
% 33.72/22.32 tff(10794,plain,
% 33.72/22.32 ($false),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10793, 10788, 10757, 10678])).
% 33.72/22.32 tff(10795,plain,((~v120(constB63)) | v122(constB67)), inference(lemma,lemma(discharge,[]))).
% 33.72/22.32 tff(10796,plain,
% 33.72/22.32 (v122(constB67)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10795, 10198])).
% 33.72/22.32 tff(10797,assumption,(v122(constB67)), introduced(assumption)).
% 33.72/22.32 tff(10798,plain,
% 33.72/22.32 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB67) | (~v122(constB67)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB67) | (~v122(constB67)))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10799,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB67) | (~v122(constB67)))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10800,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB67) | (~v122(constB67))),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10799, 10798])).
% 33.72/22.32 tff(10801,plain,
% 33.72/22.32 (v116(constB67)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10800, 1497, 10797])).
% 33.72/22.32 tff(10802,plain,
% 33.72/22.32 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB67) | (~v116(constB67)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB67) | (~v116(constB67)))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10803,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB67) | (~v116(constB67)))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10804,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB67) | (~v116(constB67))),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10803, 10802])).
% 33.72/22.32 tff(10805,plain,
% 33.72/22.32 (v115(constB67)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10804, 520, 10801])).
% 33.72/22.32 tff(10806,plain,
% 33.72/22.32 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB67) | (~v115(constB67)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB67) | (~v115(constB67)))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10807,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB67) | (~v115(constB67)))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10808,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB67) | (~v115(constB67))),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10807, 10806])).
% 33.72/22.32 tff(10809,plain,
% 33.72/22.32 (v114(constB67)),
% 33.72/22.32 inference(unit_resolution,[status(thm)],[10808, 531, 10805])).
% 33.72/22.32 tff(10810,plain,
% 33.72/22.32 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB67) | (~v114(constB67)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB67) | (~v114(constB67)))),
% 33.72/22.32 inference(rewrite,[status(thm)],[])).
% 33.72/22.32 tff(10811,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB67) | (~v114(constB67)))),
% 33.72/22.32 inference(quant_inst,[status(thm)],[])).
% 33.72/22.32 tff(10812,plain,
% 33.72/22.32 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB67) | (~v114(constB67))),
% 33.72/22.32 inference(modus_ponens,[status(thm)],[10811, 10810])).
% 33.72/22.33 tff(10813,plain,
% 33.72/22.33 (v113(constB67)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10812, 542, 10809])).
% 33.72/22.33 tff(10814,assumption,(v26(constB67)), introduced(assumption)).
% 33.72/22.33 tff(10815,plain,
% 33.72/22.33 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB67))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10816,plain,
% 33.72/22.33 ($false),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10815, 120, 10814])).
% 33.72/22.33 tff(10817,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 33.72/22.33 tff(10818,plain,
% 33.72/22.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | v112(constB67) | (~v113(constB67)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10819,plain,
% 33.72/22.33 ((v26(constB67) | (~v113(constB67)) | v112(constB67)) <=> (v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10820,plain,
% 33.72/22.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | v112(constB67) | (~v113(constB67))))),
% 33.72/22.33 inference(monotonicity,[status(thm)],[10819])).
% 33.72/22.33 tff(10821,plain,
% 33.72/22.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 33.72/22.33 inference(transitivity,[status(thm)],[10820, 10818])).
% 33.72/22.33 tff(10822,plain,
% 33.72/22.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10823,plain,
% 33.72/22.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67))),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10822, 10821])).
% 33.72/22.33 tff(10824,plain,
% 33.72/22.33 (v112(constB67) | (~v113(constB67))),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10823, 556, 10817])).
% 33.72/22.33 tff(10825,plain,
% 33.72/22.33 (v112(constB67)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10824, 10813])).
% 33.72/22.33 tff(10826,plain,
% 33.72/22.33 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB67) | (~v112(constB67)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB67) | (~v112(constB67)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10827,plain,
% 33.72/22.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB67) | (~v112(constB67)))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10828,plain,
% 33.72/22.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB67) | (~v112(constB67))),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10827, 10826])).
% 33.72/22.33 tff(10829,plain,
% 33.72/22.33 (v108(constB67)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10828, 568, 10825])).
% 33.72/22.33 tff(10830,plain,
% 33.72/22.33 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10831,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 33.72/22.33 tff(10832,plain,
% 33.72/22.33 (nextState(constB67, constB68)),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10831, 10830])).
% 33.72/22.33 tff(10833,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10834,plain,
% 33.72/22.33 (((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68)) <=> ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10835,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))))),
% 33.72/22.33 inference(monotonicity,[status(thm)],[10834])).
% 33.72/22.33 tff(10836,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 33.72/22.33 inference(transitivity,[status(thm)],[10835, 10833])).
% 33.72/22.33 tff(10837,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10838,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10837, 10836])).
% 33.72/22.33 tff(10839,plain,
% 33.72/22.33 (v110(constB68) | (~v108(constB67))),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10838, 585, 10832])).
% 33.72/22.33 tff(10840,plain,
% 33.72/22.33 (v110(constB68)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10839, 10829])).
% 33.72/22.33 tff(10841,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10842,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10843,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68))),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10842, 10841])).
% 33.72/22.33 tff(10844,plain,
% 33.72/22.33 (~v104(constB68)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10843, 603, 10832, 10654])).
% 33.72/22.33 tff(10845,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10846,plain,
% 33.72/22.33 (((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68)) <=> ((~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10847,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | v102(constB68)))),
% 33.72/22.33 inference(monotonicity,[status(thm)],[10846])).
% 33.72/22.33 tff(10848,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))),
% 33.72/22.33 inference(transitivity,[status(thm)],[10847, 10845])).
% 33.72/22.33 tff(10849,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10850,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | v102(constB68)),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10849, 10848])).
% 33.72/22.33 tff(10851,plain,
% 33.72/22.33 (v104(constB68) | v102(constB68)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10850, 617, 10832])).
% 33.72/22.33 tff(10852,plain,
% 33.72/22.33 (v102(constB68)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10851, 10844])).
% 33.72/22.33 tff(10853,plain,
% 33.72/22.33 (v1(constB68) <=> v1(constB68)),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10854,axiom,(v1(constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 33.72/22.33 tff(10855,plain,
% 33.72/22.33 (v1(constB68)),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10854, 10853])).
% 33.72/22.33 tff(10856,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10857,plain,
% 33.72/22.33 (((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68))) <=> ((~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10858,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68))))),
% 33.72/22.33 inference(monotonicity,[status(thm)],[10857])).
% 33.72/22.33 tff(10859,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))),
% 33.72/22.33 inference(transitivity,[status(thm)],[10858, 10856])).
% 33.72/22.33 tff(10860,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10861,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68))),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10860, 10859])).
% 33.72/22.33 tff(10862,plain,
% 33.72/22.33 (v101(constB68) | (~v102(constB68))),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10861, 638, 10832, 10855])).
% 33.72/22.33 tff(10863,plain,
% 33.72/22.33 (v101(constB68)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10862, 10852])).
% 33.72/22.33 tff(10864,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10865,plain,
% 33.72/22.33 (((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68)) <=> ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10866,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))))),
% 33.72/22.33 inference(monotonicity,[status(thm)],[10865])).
% 33.72/22.33 tff(10867,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 33.72/22.33 inference(transitivity,[status(thm)],[10866, 10864])).
% 33.72/22.33 tff(10868,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10869,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10868, 10867])).
% 33.72/22.33 tff(10870,plain,
% 33.72/22.33 (v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10869, 656, 10832])).
% 33.72/22.33 tff(10871,plain,
% 33.72/22.33 (v100(constB68) | (~v110(constB68))),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10870, 10863])).
% 33.72/22.33 tff(10872,plain,
% 33.72/22.33 (v100(constB68)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10871, 10840])).
% 33.72/22.33 tff(10873,plain,
% 33.72/22.33 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB67)) | v130(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB67)) | v130(constB67, bitIndex2))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10874,plain,
% 33.72/22.33 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB67)) | v130(constB67, bitIndex2))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10875,plain,
% 33.72/22.33 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB67)) | v130(constB67, bitIndex2)),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10874, 10873])).
% 33.72/22.33 tff(10876,plain,
% 33.72/22.33 (v130(constB67, bitIndex2)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10875, 1578, 10797])).
% 33.72/22.33 tff(10877,plain,
% 33.72/22.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10878,plain,
% 33.72/22.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10879,plain,
% 33.72/22.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2)),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10878, 10877])).
% 33.72/22.33 tff(10880,plain,
% 33.72/22.33 ((~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10879, 1592, 10817])).
% 33.72/22.33 tff(10881,plain,
% 33.72/22.33 (v127(constB67, bitIndex2)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10880, 10876])).
% 33.72/22.33 tff(10882,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10883,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10884,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2)),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10883, 10882])).
% 33.72/22.33 tff(10885,plain,
% 33.72/22.33 ((~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10884, 1607, 10832])).
% 33.72/22.33 tff(10886,plain,
% 33.72/22.33 (v129(constB68, bitIndex2)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10885, 10881])).
% 33.72/22.33 tff(10887,plain,
% 33.72/22.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10888,plain,
% 33.72/22.33 ((v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2))) <=> (v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10889,plain,
% 33.72/22.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68))))),
% 33.72/22.33 inference(monotonicity,[status(thm)],[10888])).
% 33.72/22.33 tff(10890,plain,
% 33.72/22.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))),
% 33.72/22.33 inference(transitivity,[status(thm)],[10889, 10887])).
% 33.72/22.33 tff(10891,plain,
% 33.72/22.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2)))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10892,plain,
% 33.72/22.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68))),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10891, 10890])).
% 33.72/22.33 tff(10893,plain,
% 33.72/22.33 (v90(constB68, bitIndex2) | (~v100(constB68))),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10892, 1622, 10886])).
% 33.72/22.33 tff(10894,plain,
% 33.72/22.33 (v90(constB68, bitIndex2)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10893, 10872])).
% 33.72/22.33 tff(10895,plain,
% 33.72/22.33 ((~v1(constB69)) <=> (~v1(constB69))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10896,axiom,(~v1(constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 33.72/22.33 tff(10897,plain,
% 33.72/22.33 (~v1(constB69)),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10896, 10895])).
% 33.72/22.33 tff(10898,plain,
% 33.72/22.33 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10899,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 33.72/22.33 tff(10900,plain,
% 33.72/22.33 (nextState(constB68, constB69)),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10899, 10898])).
% 33.72/22.33 tff(10901,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10902,plain,
% 33.72/22.33 (((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10903,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))))),
% 33.72/22.33 inference(monotonicity,[status(thm)],[10902])).
% 33.72/22.33 tff(10904,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 33.72/22.33 inference(transitivity,[status(thm)],[10903, 10901])).
% 33.72/22.33 tff(10905,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10906,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10905, 10904])).
% 33.72/22.33 tff(10907,plain,
% 33.72/22.33 (~v101(constB69)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10906, 381, 10900, 10897])).
% 33.72/22.33 tff(10908,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10909,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10910,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69))),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10909, 10908])).
% 33.72/22.33 tff(10911,plain,
% 33.72/22.33 (v101(constB69) | (~v100(constB69))),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10910, 398, 10900])).
% 33.72/22.33 tff(10912,plain,
% 33.72/22.33 (~v100(constB69)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10911, 10907])).
% 33.72/22.33 tff(10913,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10914,plain,
% 33.72/22.33 (((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2)) <=> ((~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10915,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2)))),
% 33.72/22.33 inference(monotonicity,[status(thm)],[10914])).
% 33.72/22.33 tff(10916,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))),
% 33.72/22.33 inference(transitivity,[status(thm)],[10915, 10913])).
% 33.72/22.33 tff(10917,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10918,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2)),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10917, 10916])).
% 33.72/22.33 tff(10919,plain,
% 33.72/22.33 ((~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10918, 1658, 10900])).
% 33.72/22.33 tff(10920,plain,
% 33.72/22.33 ((~v90(constB68, bitIndex2)) | v90(constB69, bitIndex2)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10919, 10912])).
% 33.72/22.33 tff(10921,plain,
% 33.72/22.33 (v90(constB69, bitIndex2)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10920, 10894])).
% 33.72/22.33 tff(10922,plain,
% 33.72/22.33 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB67)) | (~v130(constB67, bitIndex0)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10923,plain,
% 33.72/22.33 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex0)))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10924,plain,
% 33.72/22.33 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB67)) | (~v130(constB67, bitIndex0))),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10923, 10922])).
% 33.72/22.33 tff(10925,plain,
% 33.72/22.33 (~v130(constB67, bitIndex0)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10924, 1721, 10797])).
% 33.72/22.33 tff(10926,plain,
% 33.72/22.33 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10927,plain,
% 33.72/22.33 ((v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0))) <=> ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10928,plain,
% 33.72/22.33 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)))),
% 33.72/22.33 inference(monotonicity,[status(thm)],[10927])).
% 33.72/22.33 tff(10929,plain,
% 33.72/22.33 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 33.72/22.33 inference(transitivity,[status(thm)],[10928, 10926])).
% 33.72/22.33 tff(10930,plain,
% 33.72/22.33 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10931,plain,
% 33.72/22.33 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10930, 10929])).
% 33.72/22.33 tff(10932,plain,
% 33.72/22.33 ((~v127(constB67, bitIndex0)) | v130(constB67, bitIndex0)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10931, 1182, 10817])).
% 33.72/22.33 tff(10933,plain,
% 33.72/22.33 (~v127(constB67, bitIndex0)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10932, 10925])).
% 33.72/22.33 tff(10934,plain,
% 33.72/22.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10935,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 33.72/22.33 inference(quant_inst,[status(thm)],[])).
% 33.72/22.33 tff(10936,plain,
% 33.72/22.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 33.72/22.33 inference(modus_ponens,[status(thm)],[10935, 10934])).
% 33.72/22.33 tff(10937,plain,
% 33.72/22.33 (v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10936, 1200, 10832])).
% 33.72/22.33 tff(10938,plain,
% 33.72/22.33 (~v129(constB68, bitIndex0)),
% 33.72/22.33 inference(unit_resolution,[status(thm)],[10937, 10933])).
% 33.72/22.33 tff(10939,plain,
% 33.72/22.33 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10940,plain,
% 33.72/22.33 (((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0)) <=> ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 33.72/22.33 inference(rewrite,[status(thm)],[])).
% 33.72/22.33 tff(10941,plain,
% 33.72/22.33 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))))),
% 33.72/22.33 inference(monotonicity,[status(thm)],[10940])).
% 33.72/22.33 tff(10942,plain,
% 33.72/22.33 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 33.72/22.34 inference(transitivity,[status(thm)],[10941, 10939])).
% 33.72/22.34 tff(10943,plain,
% 33.72/22.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(10944,plain,
% 33.72/22.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[10943, 10942])).
% 33.72/22.34 tff(10945,plain,
% 33.72/22.34 ((~v90(constB68, bitIndex0)) | (~v100(constB68))),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10944, 1215, 10938])).
% 33.72/22.34 tff(10946,plain,
% 33.72/22.34 (~v90(constB68, bitIndex0)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10945, 10872])).
% 33.72/22.34 tff(10947,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(10948,plain,
% 33.72/22.34 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))) <=> (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(10949,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0))))),
% 33.72/22.34 inference(monotonicity,[status(thm)],[10948])).
% 33.72/22.34 tff(10950,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 33.72/22.34 inference(transitivity,[status(thm)],[10949, 10947])).
% 33.72/22.34 tff(10951,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(10952,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[10951, 10950])).
% 33.72/22.34 tff(10953,plain,
% 33.72/22.34 (v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10952, 455, 10900])).
% 33.72/22.34 tff(10954,plain,
% 33.72/22.34 (v90(constB68, bitIndex0) | (~v90(constB69, bitIndex0))),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10953, 10912])).
% 33.72/22.34 tff(10955,plain,
% 33.72/22.34 (~v90(constB69, bitIndex0)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10954, 10946])).
% 33.72/22.34 tff(10956,plain,
% 33.72/22.34 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB67)) | (~v130(constB67, bitIndex1)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(10957,plain,
% 33.72/22.34 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex1)))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(10958,plain,
% 33.72/22.34 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB67)) | (~v130(constB67, bitIndex1))),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[10957, 10956])).
% 33.72/22.34 tff(10959,plain,
% 33.72/22.34 (~v130(constB67, bitIndex1)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10958, 1677, 10797])).
% 33.72/22.34 tff(10960,plain,
% 33.72/22.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(10961,plain,
% 33.72/22.34 ((v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1))) <=> ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(10962,plain,
% 33.72/22.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1)))),
% 33.72/22.34 inference(monotonicity,[status(thm)],[10961])).
% 33.72/22.34 tff(10963,plain,
% 33.72/22.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 33.72/22.34 inference(transitivity,[status(thm)],[10962, 10960])).
% 33.72/22.34 tff(10964,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(10965,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1)),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[10964, 10963])).
% 33.72/22.34 tff(10966,plain,
% 33.72/22.34 ((~v127(constB67, bitIndex1)) | v130(constB67, bitIndex1)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10965, 781, 10817])).
% 33.72/22.34 tff(10967,plain,
% 33.72/22.34 (~v127(constB67, bitIndex1)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10966, 10959])).
% 33.72/22.34 tff(10968,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(10969,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(10970,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1))),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[10969, 10968])).
% 33.72/22.34 tff(10971,plain,
% 33.72/22.34 (v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1))),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10970, 799, 10832])).
% 33.72/22.34 tff(10972,plain,
% 33.72/22.34 (~v129(constB68, bitIndex1)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10971, 10967])).
% 33.72/22.34 tff(10973,plain,
% 33.72/22.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(10974,plain,
% 33.72/22.34 (((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1)) <=> ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(10975,plain,
% 33.72/22.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68))))),
% 33.72/22.34 inference(monotonicity,[status(thm)],[10974])).
% 33.72/22.34 tff(10976,plain,
% 33.72/22.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 33.72/22.34 inference(transitivity,[status(thm)],[10975, 10973])).
% 33.72/22.34 tff(10977,plain,
% 33.72/22.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(10978,plain,
% 33.72/22.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68))),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[10977, 10976])).
% 33.72/22.34 tff(10979,plain,
% 33.72/22.34 ((~v90(constB68, bitIndex1)) | (~v100(constB68))),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10978, 814, 10972])).
% 33.72/22.34 tff(10980,plain,
% 33.72/22.34 (~v90(constB68, bitIndex1)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10979, 10872])).
% 33.72/22.34 tff(10981,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(10982,plain,
% 33.72/22.34 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1))) <=> (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(10983,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1))))),
% 33.72/22.34 inference(monotonicity,[status(thm)],[10982])).
% 33.72/22.34 tff(10984,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 33.72/22.34 inference(transitivity,[status(thm)],[10983, 10981])).
% 33.72/22.34 tff(10985,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(10986,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1))),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[10985, 10984])).
% 33.72/22.34 tff(10987,plain,
% 33.72/22.34 (v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1))),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10986, 434, 10900])).
% 33.72/22.34 tff(10988,plain,
% 33.72/22.34 (v90(constB68, bitIndex1) | (~v90(constB69, bitIndex1))),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10987, 10912])).
% 33.72/22.34 tff(10989,plain,
% 33.72/22.34 (~v90(constB69, bitIndex1)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10988, 10980])).
% 33.72/22.34 tff(10990,assumption,(~v123(constB69)), introduced(assumption)).
% 33.72/22.34 tff(10991,plain,
% 33.72/22.34 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(10992,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(10993,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69)),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[10992, 10991])).
% 33.72/22.34 tff(10994,plain,
% 33.72/22.34 (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2))),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10993, 1765, 10990])).
% 33.72/22.34 tff(10995,plain,
% 33.72/22.34 ($false),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10994, 10989, 10955, 10921])).
% 33.72/22.34 tff(10996,plain,((~v122(constB67)) | v123(constB69)), inference(lemma,lemma(discharge,[]))).
% 33.72/22.34 tff(10997,plain,
% 33.72/22.34 (v123(constB69)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[10996, 10796])).
% 33.72/22.34 tff(10998,assumption,(v123(constB69)), introduced(assumption)).
% 33.72/22.34 tff(10999,plain,
% 33.72/22.34 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB69) | (~v123(constB69)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB69) | (~v123(constB69)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11000,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB69) | (~v123(constB69)))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(11001,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB69) | (~v123(constB69))),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[11000, 10999])).
% 33.72/22.34 tff(11002,plain,
% 33.72/22.34 (v115(constB69)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11001, 1776, 10998])).
% 33.72/22.34 tff(11003,plain,
% 33.72/22.34 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB69) | (~v115(constB69)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB69) | (~v115(constB69)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11004,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB69) | (~v115(constB69)))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(11005,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB69) | (~v115(constB69))),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[11004, 11003])).
% 33.72/22.34 tff(11006,plain,
% 33.72/22.34 (v114(constB69)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11005, 531, 11002])).
% 33.72/22.34 tff(11007,plain,
% 33.72/22.34 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB69) | (~v114(constB69)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB69) | (~v114(constB69)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11008,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB69) | (~v114(constB69)))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(11009,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB69) | (~v114(constB69))),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[11008, 11007])).
% 33.72/22.34 tff(11010,plain,
% 33.72/22.34 (v113(constB69)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11009, 542, 11006])).
% 33.72/22.34 tff(11011,assumption,(v26(constB69)), introduced(assumption)).
% 33.72/22.34 tff(11012,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB69))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(11013,plain,
% 33.72/22.34 ($false),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11012, 120, 11011])).
% 33.72/22.34 tff(11014,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 33.72/22.34 tff(11015,plain,
% 33.72/22.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11016,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(11017,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | (~v113(constB69)) | v112(constB69)),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[11016, 11015])).
% 33.72/22.34 tff(11018,plain,
% 33.72/22.34 ((~v113(constB69)) | v112(constB69)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11017, 556, 11014])).
% 33.72/22.34 tff(11019,plain,
% 33.72/22.34 (v112(constB69)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11018, 11010])).
% 33.72/22.34 tff(11020,plain,
% 33.72/22.34 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB69) | (~v112(constB69)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11021,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB69) | (~v112(constB69)))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(11022,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB69) | (~v112(constB69))),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[11021, 11020])).
% 33.72/22.34 tff(11023,plain,
% 33.72/22.34 (v108(constB69)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11022, 568, 11019])).
% 33.72/22.34 tff(11024,plain,
% 33.72/22.34 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11025,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 33.72/22.34 tff(11026,plain,
% 33.72/22.34 (nextState(constB69, constB70)),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[11025, 11024])).
% 33.72/22.34 tff(11027,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11028,plain,
% 33.72/22.34 (((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70)) <=> ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11029,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))))),
% 33.72/22.34 inference(monotonicity,[status(thm)],[11028])).
% 33.72/22.34 tff(11030,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 33.72/22.34 inference(transitivity,[status(thm)],[11029, 11027])).
% 33.72/22.34 tff(11031,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(11032,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[11031, 11030])).
% 33.72/22.34 tff(11033,plain,
% 33.72/22.34 (v110(constB70) | (~v108(constB69))),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11032, 585, 11026])).
% 33.72/22.34 tff(11034,plain,
% 33.72/22.34 (v110(constB70)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11033, 11023])).
% 33.72/22.34 tff(11035,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11036,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(11037,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70))),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[11036, 11035])).
% 33.72/22.34 tff(11038,plain,
% 33.72/22.34 (~v104(constB70)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11037, 603, 11026, 10897])).
% 33.72/22.34 tff(11039,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11040,plain,
% 33.72/22.34 (((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70)) <=> ((~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11041,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | v102(constB70)))),
% 33.72/22.34 inference(monotonicity,[status(thm)],[11040])).
% 33.72/22.34 tff(11042,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))),
% 33.72/22.34 inference(transitivity,[status(thm)],[11041, 11039])).
% 33.72/22.34 tff(11043,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(11044,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | v102(constB70)),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[11043, 11042])).
% 33.72/22.34 tff(11045,plain,
% 33.72/22.34 (v104(constB70) | v102(constB70)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11044, 617, 11026])).
% 33.72/22.34 tff(11046,plain,
% 33.72/22.34 (v102(constB70)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11045, 11038])).
% 33.72/22.34 tff(11047,plain,
% 33.72/22.34 (v1(constB70) <=> v1(constB70)),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11048,axiom,(v1(constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 33.72/22.34 tff(11049,plain,
% 33.72/22.34 (v1(constB70)),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[11048, 11047])).
% 33.72/22.34 tff(11050,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11051,plain,
% 33.72/22.34 (((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70))) <=> ((~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11052,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70))))),
% 33.72/22.34 inference(monotonicity,[status(thm)],[11051])).
% 33.72/22.34 tff(11053,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))),
% 33.72/22.34 inference(transitivity,[status(thm)],[11052, 11050])).
% 33.72/22.34 tff(11054,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(11055,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70))),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[11054, 11053])).
% 33.72/22.34 tff(11056,plain,
% 33.72/22.34 (v101(constB70) | (~v102(constB70))),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11055, 638, 11026, 11049])).
% 33.72/22.34 tff(11057,plain,
% 33.72/22.34 (v101(constB70)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11056, 11046])).
% 33.72/22.34 tff(11058,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11059,plain,
% 33.72/22.34 (((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70)) <=> ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11060,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))))),
% 33.72/22.34 inference(monotonicity,[status(thm)],[11059])).
% 33.72/22.34 tff(11061,plain,
% 33.72/22.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 33.72/22.34 inference(transitivity,[status(thm)],[11060, 11058])).
% 33.72/22.34 tff(11062,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(11063,plain,
% 33.72/22.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[11062, 11061])).
% 33.72/22.34 tff(11064,plain,
% 33.72/22.34 (v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11063, 656, 11026])).
% 33.72/22.34 tff(11065,plain,
% 33.72/22.34 (v100(constB70) | (~v110(constB70))),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11064, 11057])).
% 33.72/22.34 tff(11066,plain,
% 33.72/22.34 (v100(constB70)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11065, 11034])).
% 33.72/22.34 tff(11067,plain,
% 33.72/22.34 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB69)) | v130(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB69)) | v130(constB69, bitIndex2))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11068,plain,
% 33.72/22.34 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB69)) | v130(constB69, bitIndex2))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(11069,plain,
% 33.72/22.34 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB69)) | v130(constB69, bitIndex2)),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[11068, 11067])).
% 33.72/22.34 tff(11070,plain,
% 33.72/22.34 (v130(constB69, bitIndex2)),
% 33.72/22.34 inference(unit_resolution,[status(thm)],[11069, 1850, 10998])).
% 33.72/22.34 tff(11071,plain,
% 33.72/22.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2))),
% 33.72/22.34 inference(rewrite,[status(thm)],[])).
% 33.72/22.34 tff(11072,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2))),
% 33.72/22.34 inference(quant_inst,[status(thm)],[])).
% 33.72/22.34 tff(11073,plain,
% 33.72/22.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2)),
% 33.72/22.34 inference(modus_ponens,[status(thm)],[11072, 11071])).
% 33.72/22.34 tff(11074,plain,
% 33.72/22.34 ((~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11073, 1592, 11014])).
% 33.72/22.35 tff(11075,plain,
% 33.72/22.35 (v127(constB69, bitIndex2)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11074, 11070])).
% 33.72/22.35 tff(11076,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11077,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2))),
% 33.72/22.35 inference(quant_inst,[status(thm)],[])).
% 33.72/22.35 tff(11078,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2)),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11077, 11076])).
% 33.72/22.35 tff(11079,plain,
% 33.72/22.35 ((~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11078, 1607, 11026])).
% 33.72/22.35 tff(11080,plain,
% 33.72/22.35 (v129(constB70, bitIndex2)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11079, 11075])).
% 33.72/22.35 tff(11081,plain,
% 33.72/22.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11082,plain,
% 33.72/22.35 ((v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2))) <=> (v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11083,plain,
% 33.72/22.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70))))),
% 33.72/22.35 inference(monotonicity,[status(thm)],[11082])).
% 33.72/22.35 tff(11084,plain,
% 33.72/22.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))),
% 33.72/22.35 inference(transitivity,[status(thm)],[11083, 11081])).
% 33.72/22.35 tff(11085,plain,
% 33.72/22.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2)))),
% 33.72/22.35 inference(quant_inst,[status(thm)],[])).
% 33.72/22.35 tff(11086,plain,
% 33.72/22.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70))),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11085, 11084])).
% 33.72/22.35 tff(11087,plain,
% 33.72/22.35 (v90(constB70, bitIndex2) | (~v100(constB70))),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11086, 1622, 11080])).
% 33.72/22.35 tff(11088,plain,
% 33.72/22.35 (v90(constB70, bitIndex2)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11087, 11066])).
% 33.72/22.35 tff(11089,plain,
% 33.72/22.35 ((~v1(constB71)) <=> (~v1(constB71))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11090,axiom,(~v1(constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 33.72/22.35 tff(11091,plain,
% 33.72/22.35 (~v1(constB71)),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11090, 11089])).
% 33.72/22.35 tff(11092,plain,
% 33.72/22.35 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11093,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 33.72/22.35 tff(11094,plain,
% 33.72/22.35 (nextState(constB70, constB71)),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11093, 11092])).
% 33.72/22.35 tff(11095,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11096,plain,
% 33.72/22.35 (((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11097,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))))),
% 33.72/22.35 inference(monotonicity,[status(thm)],[11096])).
% 33.72/22.35 tff(11098,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 33.72/22.35 inference(transitivity,[status(thm)],[11097, 11095])).
% 33.72/22.35 tff(11099,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))),
% 33.72/22.35 inference(quant_inst,[status(thm)],[])).
% 33.72/22.35 tff(11100,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11099, 11098])).
% 33.72/22.35 tff(11101,plain,
% 33.72/22.35 (~v101(constB71)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11100, 381, 11094, 11091])).
% 33.72/22.35 tff(11102,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11103,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 33.72/22.35 inference(quant_inst,[status(thm)],[])).
% 33.72/22.35 tff(11104,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71))),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11103, 11102])).
% 33.72/22.35 tff(11105,plain,
% 33.72/22.35 (v101(constB71) | (~v100(constB71))),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11104, 398, 11094])).
% 33.72/22.35 tff(11106,plain,
% 33.72/22.35 (~v100(constB71)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11105, 11101])).
% 33.72/22.35 tff(11107,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11108,plain,
% 33.72/22.35 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2)) <=> ((~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11109,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2)))),
% 33.72/22.35 inference(monotonicity,[status(thm)],[11108])).
% 33.72/22.35 tff(11110,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))),
% 33.72/22.35 inference(transitivity,[status(thm)],[11109, 11107])).
% 33.72/22.35 tff(11111,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2))),
% 33.72/22.35 inference(quant_inst,[status(thm)],[])).
% 33.72/22.35 tff(11112,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2)),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11111, 11110])).
% 33.72/22.35 tff(11113,plain,
% 33.72/22.35 ((~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11112, 1658, 11094])).
% 33.72/22.35 tff(11114,plain,
% 33.72/22.35 ((~v90(constB70, bitIndex2)) | v90(constB71, bitIndex2)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11113, 11106])).
% 33.72/22.35 tff(11115,plain,
% 33.72/22.35 (v90(constB71, bitIndex2)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11114, 11088])).
% 33.72/22.35 tff(11116,plain,
% 33.72/22.35 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB69)) | v130(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB69)) | v130(constB69, bitIndex0))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11117,plain,
% 33.72/22.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB69)) | v130(constB69, bitIndex0))),
% 33.72/22.35 inference(quant_inst,[status(thm)],[])).
% 33.72/22.35 tff(11118,plain,
% 33.72/22.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB69)) | v130(constB69, bitIndex0)),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11117, 11116])).
% 33.72/22.35 tff(11119,plain,
% 33.72/22.35 (v130(constB69, bitIndex0)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11118, 1953, 10998])).
% 33.72/22.35 tff(11120,plain,
% 33.72/22.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11121,plain,
% 33.72/22.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 33.72/22.35 inference(quant_inst,[status(thm)],[])).
% 33.72/22.35 tff(11122,plain,
% 33.72/22.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11121, 11120])).
% 33.72/22.35 tff(11123,plain,
% 33.72/22.35 ((~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11122, 855, 11014])).
% 33.72/22.35 tff(11124,plain,
% 33.72/22.35 (v127(constB69, bitIndex0)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11123, 11119])).
% 33.72/22.35 tff(11125,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11126,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 33.72/22.35 inference(quant_inst,[status(thm)],[])).
% 33.72/22.35 tff(11127,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11126, 11125])).
% 33.72/22.35 tff(11128,plain,
% 33.72/22.35 ((~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11127, 870, 11026])).
% 33.72/22.35 tff(11129,plain,
% 33.72/22.35 (v129(constB70, bitIndex0)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11128, 11124])).
% 33.72/22.35 tff(11130,plain,
% 33.72/22.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11131,plain,
% 33.72/22.35 ((v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0))) <=> (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11132,plain,
% 33.72/22.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))))),
% 33.72/22.35 inference(monotonicity,[status(thm)],[11131])).
% 33.72/22.35 tff(11133,plain,
% 33.72/22.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 33.72/22.35 inference(transitivity,[status(thm)],[11132, 11130])).
% 33.72/22.35 tff(11134,plain,
% 33.72/22.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))),
% 33.72/22.35 inference(quant_inst,[status(thm)],[])).
% 33.72/22.35 tff(11135,plain,
% 33.72/22.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11134, 11133])).
% 33.72/22.35 tff(11136,plain,
% 33.72/22.35 (v90(constB70, bitIndex0) | (~v100(constB70))),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11135, 885, 11129])).
% 33.72/22.35 tff(11137,plain,
% 33.72/22.35 (v90(constB70, bitIndex0)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11136, 11066])).
% 33.72/22.35 tff(11138,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11139,plain,
% 33.72/22.35 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)) <=> ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11140,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0)))),
% 33.72/22.35 inference(monotonicity,[status(thm)],[11139])).
% 33.72/22.35 tff(11141,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 33.72/22.35 inference(transitivity,[status(thm)],[11140, 11138])).
% 33.72/22.35 tff(11142,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))),
% 33.72/22.35 inference(quant_inst,[status(thm)],[])).
% 33.72/22.35 tff(11143,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0)),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11142, 11141])).
% 33.72/22.35 tff(11144,plain,
% 33.72/22.35 ((~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11143, 903, 11094])).
% 33.72/22.35 tff(11145,plain,
% 33.72/22.35 ((~v90(constB70, bitIndex0)) | v90(constB71, bitIndex0)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11144, 11106])).
% 33.72/22.35 tff(11146,plain,
% 33.72/22.35 (v90(constB71, bitIndex0)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11145, 11137])).
% 33.72/22.35 tff(11147,plain,
% 33.72/22.35 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB69)) | (~v130(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB69)) | (~v130(constB69, bitIndex1)))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11148,plain,
% 33.72/22.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB69)) | (~v130(constB69, bitIndex1)))),
% 33.72/22.35 inference(quant_inst,[status(thm)],[])).
% 33.72/22.35 tff(11149,plain,
% 33.72/22.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB69)) | (~v130(constB69, bitIndex1))),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11148, 11147])).
% 33.72/22.35 tff(11150,plain,
% 33.72/22.35 (~v130(constB69, bitIndex1)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11149, 1909, 10998])).
% 33.72/22.35 tff(11151,plain,
% 33.72/22.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11152,plain,
% 33.72/22.35 ((v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1))) <=> ((~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11153,plain,
% 33.72/22.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1)))),
% 33.72/22.35 inference(monotonicity,[status(thm)],[11152])).
% 33.72/22.35 tff(11154,plain,
% 33.72/22.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))),
% 33.72/22.35 inference(transitivity,[status(thm)],[11153, 11151])).
% 33.72/22.35 tff(11155,plain,
% 33.72/22.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1)))),
% 33.72/22.35 inference(quant_inst,[status(thm)],[])).
% 33.72/22.35 tff(11156,plain,
% 33.72/22.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1)),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11155, 11154])).
% 33.72/22.35 tff(11157,plain,
% 33.72/22.35 ((~v127(constB69, bitIndex1)) | v130(constB69, bitIndex1)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11156, 781, 11014])).
% 33.72/22.35 tff(11158,plain,
% 33.72/22.35 (~v127(constB69, bitIndex1)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11157, 11150])).
% 33.72/22.35 tff(11159,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1)))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11160,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1)))),
% 33.72/22.35 inference(quant_inst,[status(thm)],[])).
% 33.72/22.35 tff(11161,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1))),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11160, 11159])).
% 33.72/22.35 tff(11162,plain,
% 33.72/22.35 (v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1))),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11161, 799, 11026])).
% 33.72/22.35 tff(11163,plain,
% 33.72/22.35 (~v129(constB70, bitIndex1)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11162, 11158])).
% 33.72/22.35 tff(11164,plain,
% 33.72/22.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11165,plain,
% 33.72/22.35 (((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1)) <=> ((~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11166,plain,
% 33.72/22.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70))))),
% 33.72/22.35 inference(monotonicity,[status(thm)],[11165])).
% 33.72/22.35 tff(11167,plain,
% 33.72/22.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))),
% 33.72/22.35 inference(transitivity,[status(thm)],[11166, 11164])).
% 33.72/22.35 tff(11168,plain,
% 33.72/22.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1))),
% 33.72/22.35 inference(quant_inst,[status(thm)],[])).
% 33.72/22.35 tff(11169,plain,
% 33.72/22.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70))),
% 33.72/22.35 inference(modus_ponens,[status(thm)],[11168, 11167])).
% 33.72/22.35 tff(11170,plain,
% 33.72/22.35 ((~v90(constB70, bitIndex1)) | (~v100(constB70))),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11169, 814, 11163])).
% 33.72/22.35 tff(11171,plain,
% 33.72/22.35 (~v90(constB70, bitIndex1)),
% 33.72/22.35 inference(unit_resolution,[status(thm)],[11170, 11066])).
% 33.72/22.35 tff(11172,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11173,plain,
% 33.72/22.35 (((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1))) <=> (v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 33.72/22.35 inference(rewrite,[status(thm)],[])).
% 33.72/22.35 tff(11174,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1))))),
% 33.72/22.35 inference(monotonicity,[status(thm)],[11173])).
% 33.72/22.35 tff(11175,plain,
% 33.72/22.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 33.72/22.35 inference(transitivity,[status(thm)],[11174, 11172])).
% 33.72/22.35 tff(11176,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 33.72/22.35 inference(quant_inst,[status(thm)],[])).
% 33.72/22.35 tff(11177,plain,
% 33.72/22.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1))),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11176, 11175])).
% 33.72/22.36 tff(11178,plain,
% 33.72/22.36 (v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1))),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11177, 434, 11094])).
% 33.72/22.36 tff(11179,plain,
% 33.72/22.36 (v90(constB70, bitIndex1) | (~v90(constB71, bitIndex1))),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11178, 11106])).
% 33.72/22.36 tff(11180,plain,
% 33.72/22.36 (~v90(constB71, bitIndex1)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11179, 11171])).
% 33.72/22.36 tff(11181,assumption,(~v124(constB71)), introduced(assumption)).
% 33.72/22.36 tff(11182,plain,
% 33.72/22.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11183,plain,
% 33.72/22.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11184,plain,
% 33.72/22.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71)),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11183, 11182])).
% 33.72/22.36 tff(11185,plain,
% 33.72/22.36 ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2))),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11184, 1994, 11181])).
% 33.72/22.36 tff(11186,plain,
% 33.72/22.36 ($false),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11185, 11180, 11146, 11115])).
% 33.72/22.36 tff(11187,plain,((~v123(constB69)) | v124(constB71)), inference(lemma,lemma(discharge,[]))).
% 33.72/22.36 tff(11188,plain,
% 33.72/22.36 (v124(constB71)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11187, 10997])).
% 33.72/22.36 tff(11189,plain,
% 33.72/22.36 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB71) | (~v124(constB71)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB71) | (~v124(constB71)))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11190,plain,
% 33.72/22.36 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB71) | (~v124(constB71)))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11191,plain,
% 33.72/22.36 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB71) | (~v124(constB71))),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11190, 11189])).
% 33.72/22.36 tff(11192,plain,
% 33.72/22.36 (v114(constB71)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11191, 2005, 11188])).
% 33.72/22.36 tff(11193,plain,
% 33.72/22.36 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB71) | (~v114(constB71)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB71) | (~v114(constB71)))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11194,plain,
% 33.72/22.36 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB71) | (~v114(constB71)))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11195,plain,
% 33.72/22.36 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB71) | (~v114(constB71))),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11194, 11193])).
% 33.72/22.36 tff(11196,plain,
% 33.72/22.36 (v113(constB71)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11195, 542, 11192])).
% 33.72/22.36 tff(11197,assumption,(v26(constB71)), introduced(assumption)).
% 33.72/22.36 tff(11198,plain,
% 33.72/22.36 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB71))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11199,plain,
% 33.72/22.36 ($false),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11198, 120, 11197])).
% 33.72/22.36 tff(11200,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 33.72/22.36 tff(11201,plain,
% 33.72/22.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11202,plain,
% 33.72/22.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11203,plain,
% 33.72/22.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71)),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11202, 11201])).
% 33.72/22.36 tff(11204,plain,
% 33.72/22.36 ((~v113(constB71)) | v112(constB71)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11203, 556, 11200])).
% 33.72/22.36 tff(11205,plain,
% 33.72/22.36 (v112(constB71)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11204, 11196])).
% 33.72/22.36 tff(11206,plain,
% 33.72/22.36 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB71) | (~v112(constB71)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB71) | (~v112(constB71)))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11207,plain,
% 33.72/22.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB71) | (~v112(constB71)))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11208,plain,
% 33.72/22.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB71) | (~v112(constB71))),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11207, 11206])).
% 33.72/22.36 tff(11209,plain,
% 33.72/22.36 (v108(constB71)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11208, 568, 11205])).
% 33.72/22.36 tff(11210,plain,
% 33.72/22.36 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11211,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 33.72/22.36 tff(11212,plain,
% 33.72/22.36 (nextState(constB71, constB72)),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11211, 11210])).
% 33.72/22.36 tff(11213,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11214,plain,
% 33.72/22.36 (((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72)) <=> ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11215,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))))),
% 33.72/22.36 inference(monotonicity,[status(thm)],[11214])).
% 33.72/22.36 tff(11216,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 33.72/22.36 inference(transitivity,[status(thm)],[11215, 11213])).
% 33.72/22.36 tff(11217,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11218,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11217, 11216])).
% 33.72/22.36 tff(11219,plain,
% 33.72/22.36 (v110(constB72) | (~v108(constB71))),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11218, 585, 11212])).
% 33.72/22.36 tff(11220,plain,
% 33.72/22.36 (v110(constB72)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11219, 11209])).
% 33.72/22.36 tff(11221,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11222,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11223,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72))),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11222, 11221])).
% 33.72/22.36 tff(11224,plain,
% 33.72/22.36 (~v104(constB72)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11223, 603, 11212, 11091])).
% 33.72/22.36 tff(11225,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11226,plain,
% 33.72/22.36 (((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72)) <=> ((~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11227,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | v102(constB72)))),
% 33.72/22.36 inference(monotonicity,[status(thm)],[11226])).
% 33.72/22.36 tff(11228,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))),
% 33.72/22.36 inference(transitivity,[status(thm)],[11227, 11225])).
% 33.72/22.36 tff(11229,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11230,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | v102(constB72)),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11229, 11228])).
% 33.72/22.36 tff(11231,plain,
% 33.72/22.36 (v104(constB72) | v102(constB72)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11230, 617, 11212])).
% 33.72/22.36 tff(11232,plain,
% 33.72/22.36 (v102(constB72)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11231, 11224])).
% 33.72/22.36 tff(11233,plain,
% 33.72/22.36 (v1(constB72) <=> v1(constB72)),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11234,axiom,(v1(constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 33.72/22.36 tff(11235,plain,
% 33.72/22.36 (v1(constB72)),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11234, 11233])).
% 33.72/22.36 tff(11236,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11237,plain,
% 33.72/22.36 (((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72))) <=> ((~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11238,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72))))),
% 33.72/22.36 inference(monotonicity,[status(thm)],[11237])).
% 33.72/22.36 tff(11239,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))),
% 33.72/22.36 inference(transitivity,[status(thm)],[11238, 11236])).
% 33.72/22.36 tff(11240,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11241,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72))),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11240, 11239])).
% 33.72/22.36 tff(11242,plain,
% 33.72/22.36 (v101(constB72) | (~v102(constB72))),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11241, 638, 11212, 11235])).
% 33.72/22.36 tff(11243,plain,
% 33.72/22.36 (v101(constB72)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11242, 11232])).
% 33.72/22.36 tff(11244,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11245,plain,
% 33.72/22.36 (((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72)) <=> ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11246,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))))),
% 33.72/22.36 inference(monotonicity,[status(thm)],[11245])).
% 33.72/22.36 tff(11247,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 33.72/22.36 inference(transitivity,[status(thm)],[11246, 11244])).
% 33.72/22.36 tff(11248,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11249,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11248, 11247])).
% 33.72/22.36 tff(11250,plain,
% 33.72/22.36 (v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11249, 656, 11212])).
% 33.72/22.36 tff(11251,plain,
% 33.72/22.36 (v100(constB72) | (~v110(constB72))),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11250, 11243])).
% 33.72/22.36 tff(11252,plain,
% 33.72/22.36 (v100(constB72)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11251, 11220])).
% 33.72/22.36 tff(11253,plain,
% 33.72/22.36 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB71)) | v130(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB71)) | v130(constB71, bitIndex2))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11254,plain,
% 33.72/22.36 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB71)) | v130(constB71, bitIndex2))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11255,plain,
% 33.72/22.36 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB71)) | v130(constB71, bitIndex2)),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11254, 11253])).
% 33.72/22.36 tff(11256,plain,
% 33.72/22.36 (v130(constB71, bitIndex2)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11255, 2075, 11188])).
% 33.72/22.36 tff(11257,plain,
% 33.72/22.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11258,plain,
% 33.72/22.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11259,plain,
% 33.72/22.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11258, 11257])).
% 33.72/22.36 tff(11260,plain,
% 33.72/22.36 ((~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11259, 1592, 11200])).
% 33.72/22.36 tff(11261,plain,
% 33.72/22.36 (v127(constB71, bitIndex2)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11260, 11256])).
% 33.72/22.36 tff(11262,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11263,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11264,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11263, 11262])).
% 33.72/22.36 tff(11265,plain,
% 33.72/22.36 ((~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11264, 1607, 11212])).
% 33.72/22.36 tff(11266,plain,
% 33.72/22.36 (v129(constB72, bitIndex2)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11265, 11261])).
% 33.72/22.36 tff(11267,plain,
% 33.72/22.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11268,plain,
% 33.72/22.36 ((v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2))) <=> (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11269,plain,
% 33.72/22.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))))),
% 33.72/22.36 inference(monotonicity,[status(thm)],[11268])).
% 33.72/22.36 tff(11270,plain,
% 33.72/22.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 33.72/22.36 inference(transitivity,[status(thm)],[11269, 11267])).
% 33.72/22.36 tff(11271,plain,
% 33.72/22.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11272,plain,
% 33.72/22.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11271, 11270])).
% 33.72/22.36 tff(11273,plain,
% 33.72/22.36 (v90(constB72, bitIndex2) | (~v100(constB72))),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11272, 1622, 11266])).
% 33.72/22.36 tff(11274,plain,
% 33.72/22.36 (v90(constB72, bitIndex2)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11273, 11252])).
% 33.72/22.36 tff(11275,plain,
% 33.72/22.36 ((~v1(constB73)) <=> (~v1(constB73))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11276,axiom,(~v1(constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 33.72/22.36 tff(11277,plain,
% 33.72/22.36 (~v1(constB73)),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11276, 11275])).
% 33.72/22.36 tff(11278,plain,
% 33.72/22.36 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11279,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 33.72/22.36 tff(11280,plain,
% 33.72/22.36 (nextState(constB72, constB73)),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11279, 11278])).
% 33.72/22.36 tff(11281,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11282,plain,
% 33.72/22.36 (((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11283,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))))),
% 33.72/22.36 inference(monotonicity,[status(thm)],[11282])).
% 33.72/22.36 tff(11284,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 33.72/22.36 inference(transitivity,[status(thm)],[11283, 11281])).
% 33.72/22.36 tff(11285,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11286,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11285, 11284])).
% 33.72/22.36 tff(11287,plain,
% 33.72/22.36 (~v101(constB73)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11286, 381, 11280, 11277])).
% 33.72/22.36 tff(11288,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11289,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11290,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73))),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11289, 11288])).
% 33.72/22.36 tff(11291,plain,
% 33.72/22.36 (v101(constB73) | (~v100(constB73))),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11290, 398, 11280])).
% 33.72/22.36 tff(11292,plain,
% 33.72/22.36 (~v100(constB73)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11291, 11287])).
% 33.72/22.36 tff(11293,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11294,plain,
% 33.72/22.36 (((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)) <=> ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11295,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)))),
% 33.72/22.36 inference(monotonicity,[status(thm)],[11294])).
% 33.72/22.36 tff(11296,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 33.72/22.36 inference(transitivity,[status(thm)],[11295, 11293])).
% 33.72/22.36 tff(11297,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11298,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11297, 11296])).
% 33.72/22.36 tff(11299,plain,
% 33.72/22.36 ((~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11298, 1658, 11280])).
% 33.72/22.36 tff(11300,plain,
% 33.72/22.36 ((~v90(constB72, bitIndex2)) | v90(constB73, bitIndex2)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11299, 11292])).
% 33.72/22.36 tff(11301,plain,
% 33.72/22.36 (v90(constB73, bitIndex2)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11300, 11274])).
% 33.72/22.36 tff(11302,plain,
% 33.72/22.36 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB71)) | v130(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB71)) | v130(constB71, bitIndex1))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11303,plain,
% 33.72/22.36 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB71)) | v130(constB71, bitIndex1))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11304,plain,
% 33.72/22.36 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB71)) | v130(constB71, bitIndex1)),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11303, 11302])).
% 33.72/22.36 tff(11305,plain,
% 33.72/22.36 (v130(constB71, bitIndex1)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11304, 2145, 11188])).
% 33.72/22.36 tff(11306,plain,
% 33.72/22.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11307,plain,
% 33.72/22.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11308,plain,
% 33.72/22.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1)),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11307, 11306])).
% 33.72/22.36 tff(11309,plain,
% 33.72/22.36 ((~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11308, 1101, 11200])).
% 33.72/22.36 tff(11310,plain,
% 33.72/22.36 (v127(constB71, bitIndex1)),
% 33.72/22.36 inference(unit_resolution,[status(thm)],[11309, 11305])).
% 33.72/22.36 tff(11311,plain,
% 33.72/22.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1))),
% 33.72/22.36 inference(rewrite,[status(thm)],[])).
% 33.72/22.36 tff(11312,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1))),
% 33.72/22.36 inference(quant_inst,[status(thm)],[])).
% 33.72/22.36 tff(11313,plain,
% 33.72/22.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1)),
% 33.72/22.36 inference(modus_ponens,[status(thm)],[11312, 11311])).
% 33.72/22.36 tff(11314,plain,
% 33.72/22.36 ((~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1)),
% 33.72/22.37 inference(unit_resolution,[status(thm)],[11313, 1116, 11212])).
% 33.72/22.37 tff(11315,plain,
% 33.72/22.37 (v129(constB72, bitIndex1)),
% 33.72/22.37 inference(unit_resolution,[status(thm)],[11314, 11310])).
% 33.72/22.37 tff(11316,plain,
% 33.72/22.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))),
% 33.72/22.37 inference(rewrite,[status(thm)],[])).
% 33.72/22.37 tff(11317,plain,
% 33.72/22.37 ((v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1))) <=> (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))),
% 33.72/22.37 inference(rewrite,[status(thm)],[])).
% 33.72/22.37 tff(11318,plain,
% 33.72/22.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72))))),
% 33.72/22.37 inference(monotonicity,[status(thm)],[11317])).
% 33.72/22.37 tff(11319,plain,
% 33.72/22.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))),
% 33.72/22.37 inference(transitivity,[status(thm)],[11318, 11316])).
% 33.72/22.37 tff(11320,plain,
% 33.72/22.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1)))),
% 33.72/22.37 inference(quant_inst,[status(thm)],[])).
% 33.72/22.37 tff(11321,plain,
% 33.72/22.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72))),
% 33.72/22.37 inference(modus_ponens,[status(thm)],[11320, 11319])).
% 33.72/22.37 tff(11322,plain,
% 33.72/22.37 (v90(constB72, bitIndex1) | (~v100(constB72))),
% 33.72/22.37 inference(unit_resolution,[status(thm)],[11321, 1131, 11315])).
% 33.72/22.37 tff(11323,plain,
% 33.72/22.37 (v90(constB72, bitIndex1)),
% 33.72/22.37 inference(unit_resolution,[status(thm)],[11322, 11252])).
% 33.72/22.37 tff(11324,plain,
% 33.72/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))),
% 33.72/22.37 inference(rewrite,[status(thm)],[])).
% 33.72/22.37 tff(11325,plain,
% 33.72/22.37 (((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1)) <=> ((~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))),
% 33.72/22.37 inference(rewrite,[status(thm)],[])).
% 33.72/22.37 tff(11326,plain,
% 33.72/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1)))),
% 33.72/22.37 inference(monotonicity,[status(thm)],[11325])).
% 33.72/22.37 tff(11327,plain,
% 33.72/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))),
% 33.72/22.37 inference(transitivity,[status(thm)],[11326, 11324])).
% 33.72/22.37 tff(11328,plain,
% 33.72/22.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1))),
% 33.72/22.37 inference(quant_inst,[status(thm)],[])).
% 33.72/22.37 tff(11329,plain,
% 33.72/22.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1)),
% 33.72/22.37 inference(modus_ponens,[status(thm)],[11328, 11327])).
% 33.72/22.37 tff(11330,plain,
% 33.72/22.37 ((~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1)),
% 33.72/22.37 inference(unit_resolution,[status(thm)],[11329, 1149, 11280])).
% 33.72/22.37 tff(11331,plain,
% 33.72/22.37 ((~v90(constB72, bitIndex1)) | v90(constB73, bitIndex1)),
% 33.72/22.37 inference(unit_resolution,[status(thm)],[11330, 11292])).
% 33.72/22.37 tff(11332,plain,
% 33.72/22.37 (v90(constB73, bitIndex1)),
% 33.72/22.37 inference(unit_resolution,[status(thm)],[11331, 11323])).
% 33.72/22.37 tff(11333,plain,
% 33.72/22.37 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB71)) | (~v130(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB71)) | (~v130(constB71, bitIndex0)))),
% 33.72/22.37 inference(rewrite,[status(thm)],[])).
% 33.72/22.37 tff(11334,plain,
% 33.72/22.37 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB71)) | (~v130(constB71, bitIndex0)))),
% 33.72/22.37 inference(quant_inst,[status(thm)],[])).
% 33.72/22.37 tff(11335,plain,
% 33.72/22.37 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB71)) | (~v130(constB71, bitIndex0))),
% 33.72/22.37 inference(modus_ponens,[status(thm)],[11334, 11333])).
% 33.72/22.37 tff(11336,plain,
% 33.72/22.37 (~v130(constB71, bitIndex0)),
% 33.72/22.37 inference(unit_resolution,[status(thm)],[11335, 2277, 11188])).
% 33.72/22.37 tff(11337,plain,
% 33.72/22.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 33.72/22.37 inference(rewrite,[status(thm)],[])).
% 33.72/22.37 tff(11338,plain,
% 33.72/22.37 ((v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0))) <=> ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 33.72/22.37 inference(rewrite,[status(thm)],[])).
% 33.72/22.37 tff(11339,plain,
% 33.72/22.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)))),
% 33.72/22.37 inference(monotonicity,[status(thm)],[11338])).
% 33.72/22.37 tff(11340,plain,
% 33.72/22.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 33.72/22.37 inference(transitivity,[status(thm)],[11339, 11337])).
% 33.72/22.37 tff(11341,plain,
% 33.72/22.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))),
% 33.72/22.37 inference(quant_inst,[status(thm)],[])).
% 33.72/22.37 tff(11342,plain,
% 33.72/22.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11341, 11340])).
% 33.78/22.37 tff(11343,plain,
% 33.78/22.37 ((~v127(constB71, bitIndex0)) | v130(constB71, bitIndex0)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11342, 1182, 11200])).
% 33.78/22.37 tff(11344,plain,
% 33.78/22.37 (~v127(constB71, bitIndex0)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11343, 11336])).
% 33.78/22.37 tff(11345,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11346,plain,
% 33.78/22.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 33.78/22.37 inference(quant_inst,[status(thm)],[])).
% 33.78/22.37 tff(11347,plain,
% 33.78/22.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11346, 11345])).
% 33.78/22.37 tff(11348,plain,
% 33.78/22.37 (v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11347, 1200, 11212])).
% 33.78/22.37 tff(11349,plain,
% 33.78/22.37 (~v129(constB72, bitIndex0)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11348, 11344])).
% 33.78/22.37 tff(11350,plain,
% 33.78/22.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11351,plain,
% 33.78/22.37 (((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0)) <=> ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11352,plain,
% 33.78/22.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))))),
% 33.78/22.37 inference(monotonicity,[status(thm)],[11351])).
% 33.78/22.37 tff(11353,plain,
% 33.78/22.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 33.78/22.37 inference(transitivity,[status(thm)],[11352, 11350])).
% 33.78/22.37 tff(11354,plain,
% 33.78/22.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))),
% 33.78/22.37 inference(quant_inst,[status(thm)],[])).
% 33.78/22.37 tff(11355,plain,
% 33.78/22.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11354, 11353])).
% 33.78/22.37 tff(11356,plain,
% 33.78/22.37 ((~v90(constB72, bitIndex0)) | (~v100(constB72))),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11355, 1215, 11349])).
% 33.78/22.37 tff(11357,plain,
% 33.78/22.37 (~v90(constB72, bitIndex0)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11356, 11252])).
% 33.78/22.37 tff(11358,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11359,plain,
% 33.78/22.37 (((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))) <=> (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11360,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0))))),
% 33.78/22.37 inference(monotonicity,[status(thm)],[11359])).
% 33.78/22.37 tff(11361,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 33.78/22.37 inference(transitivity,[status(thm)],[11360, 11358])).
% 33.78/22.37 tff(11362,plain,
% 33.78/22.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 33.78/22.37 inference(quant_inst,[status(thm)],[])).
% 33.78/22.37 tff(11363,plain,
% 33.78/22.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11362, 11361])).
% 33.78/22.37 tff(11364,plain,
% 33.78/22.37 (v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11363, 455, 11280])).
% 33.78/22.37 tff(11365,plain,
% 33.78/22.37 (v90(constB72, bitIndex0) | (~v90(constB73, bitIndex0))),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11364, 11292])).
% 33.78/22.37 tff(11366,plain,
% 33.78/22.37 (~v90(constB73, bitIndex0)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11365, 11357])).
% 33.78/22.37 tff(11367,plain,
% 33.78/22.37 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11368,plain,
% 33.78/22.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73))),
% 33.78/22.37 inference(quant_inst,[status(thm)],[])).
% 33.78/22.37 tff(11369,plain,
% 33.78/22.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73)),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11368, 11367])).
% 33.78/22.37 tff(11370,plain,
% 33.78/22.37 (v125(constB73)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11369, 2321, 11366, 11332, 11301])).
% 33.78/22.37 tff(11371,plain,
% 33.78/22.37 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB73) | (~v125(constB73)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB73) | (~v125(constB73)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11372,plain,
% 33.78/22.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB73) | (~v125(constB73)))),
% 33.78/22.37 inference(quant_inst,[status(thm)],[])).
% 33.78/22.37 tff(11373,plain,
% 33.78/22.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB73) | (~v125(constB73))),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11372, 11371])).
% 33.78/22.37 tff(11374,plain,
% 33.78/22.37 (v113(constB73)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11373, 2332, 11370])).
% 33.78/22.37 tff(11375,assumption,(v26(constB73)), introduced(assumption)).
% 33.78/22.37 tff(11376,plain,
% 33.78/22.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB73))),
% 33.78/22.37 inference(quant_inst,[status(thm)],[])).
% 33.78/22.37 tff(11377,plain,
% 33.78/22.37 ($false),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11376, 120, 11375])).
% 33.78/22.37 tff(11378,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 33.78/22.37 tff(11379,plain,
% 33.78/22.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11380,plain,
% 33.78/22.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 33.78/22.37 inference(quant_inst,[status(thm)],[])).
% 33.78/22.37 tff(11381,plain,
% 33.78/22.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | (~v113(constB73)) | v112(constB73)),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11380, 11379])).
% 33.78/22.37 tff(11382,plain,
% 33.78/22.37 ((~v113(constB73)) | v112(constB73)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11381, 556, 11378])).
% 33.78/22.37 tff(11383,plain,
% 33.78/22.37 (v112(constB73)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11382, 11374])).
% 33.78/22.37 tff(11384,plain,
% 33.78/22.37 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB73) | (~v112(constB73)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11385,plain,
% 33.78/22.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB73) | (~v112(constB73)))),
% 33.78/22.37 inference(quant_inst,[status(thm)],[])).
% 33.78/22.37 tff(11386,plain,
% 33.78/22.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB73) | (~v112(constB73))),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11385, 11384])).
% 33.78/22.37 tff(11387,plain,
% 33.78/22.37 (v108(constB73)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11386, 568, 11383])).
% 33.78/22.37 tff(11388,plain,
% 33.78/22.37 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11389,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 33.78/22.37 tff(11390,plain,
% 33.78/22.37 (nextState(constB73, constB74)),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11389, 11388])).
% 33.78/22.37 tff(11391,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11392,plain,
% 33.78/22.37 (((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74)) <=> ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11393,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))))),
% 33.78/22.37 inference(monotonicity,[status(thm)],[11392])).
% 33.78/22.37 tff(11394,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 33.78/22.37 inference(transitivity,[status(thm)],[11393, 11391])).
% 33.78/22.37 tff(11395,plain,
% 33.78/22.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))),
% 33.78/22.37 inference(quant_inst,[status(thm)],[])).
% 33.78/22.37 tff(11396,plain,
% 33.78/22.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11395, 11394])).
% 33.78/22.37 tff(11397,plain,
% 33.78/22.37 (v110(constB74) | (~v108(constB73))),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11396, 585, 11390])).
% 33.78/22.37 tff(11398,plain,
% 33.78/22.37 (v110(constB74)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11397, 11387])).
% 33.78/22.37 tff(11399,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11400,plain,
% 33.78/22.37 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 33.78/22.37 inference(quant_inst,[status(thm)],[])).
% 33.78/22.37 tff(11401,plain,
% 33.78/22.37 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74))),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11400, 11399])).
% 33.78/22.37 tff(11402,plain,
% 33.78/22.37 (~v104(constB74)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11401, 603, 11390, 11277])).
% 33.78/22.37 tff(11403,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11404,plain,
% 33.78/22.37 (((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74)) <=> ((~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11405,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | v102(constB74)))),
% 33.78/22.37 inference(monotonicity,[status(thm)],[11404])).
% 33.78/22.37 tff(11406,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))),
% 33.78/22.37 inference(transitivity,[status(thm)],[11405, 11403])).
% 33.78/22.37 tff(11407,plain,
% 33.78/22.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 33.78/22.37 inference(quant_inst,[status(thm)],[])).
% 33.78/22.37 tff(11408,plain,
% 33.78/22.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | v102(constB74)),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11407, 11406])).
% 33.78/22.37 tff(11409,plain,
% 33.78/22.37 (v104(constB74) | v102(constB74)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11408, 617, 11390])).
% 33.78/22.37 tff(11410,plain,
% 33.78/22.37 (v102(constB74)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11409, 11402])).
% 33.78/22.37 tff(11411,plain,
% 33.78/22.37 (v1(constB74) <=> v1(constB74)),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11412,axiom,(v1(constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 33.78/22.37 tff(11413,plain,
% 33.78/22.37 (v1(constB74)),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11412, 11411])).
% 33.78/22.37 tff(11414,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11415,plain,
% 33.78/22.37 (((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74))) <=> ((~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11416,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74))))),
% 33.78/22.37 inference(monotonicity,[status(thm)],[11415])).
% 33.78/22.37 tff(11417,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))),
% 33.78/22.37 inference(transitivity,[status(thm)],[11416, 11414])).
% 33.78/22.37 tff(11418,plain,
% 33.78/22.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 33.78/22.37 inference(quant_inst,[status(thm)],[])).
% 33.78/22.37 tff(11419,plain,
% 33.78/22.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74))),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11418, 11417])).
% 33.78/22.37 tff(11420,plain,
% 33.78/22.37 (v101(constB74) | (~v102(constB74))),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11419, 638, 11390, 11413])).
% 33.78/22.37 tff(11421,plain,
% 33.78/22.37 (v101(constB74)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11420, 11410])).
% 33.78/22.37 tff(11422,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11423,plain,
% 33.78/22.37 (((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74)) <=> ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11424,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))))),
% 33.78/22.37 inference(monotonicity,[status(thm)],[11423])).
% 33.78/22.37 tff(11425,plain,
% 33.78/22.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 33.78/22.37 inference(transitivity,[status(thm)],[11424, 11422])).
% 33.78/22.37 tff(11426,plain,
% 33.78/22.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))),
% 33.78/22.37 inference(quant_inst,[status(thm)],[])).
% 33.78/22.37 tff(11427,plain,
% 33.78/22.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11426, 11425])).
% 33.78/22.37 tff(11428,plain,
% 33.78/22.37 (v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11427, 656, 11390])).
% 33.78/22.37 tff(11429,plain,
% 33.78/22.37 (v100(constB74) | (~v110(constB74))),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11428, 11421])).
% 33.78/22.37 tff(11430,plain,
% 33.78/22.37 (v100(constB74)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11429, 11398])).
% 33.78/22.37 tff(11431,plain,
% 33.78/22.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v121(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v121(constB73)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11432,plain,
% 33.78/22.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v121(constB73)))),
% 33.78/22.37 inference(quant_inst,[status(thm)],[])).
% 33.78/22.37 tff(11433,plain,
% 33.78/22.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v121(constB73))),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11432, 11431])).
% 33.78/22.37 tff(11434,plain,
% 33.78/22.37 (~v121(constB73)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11433, 2216, 11301])).
% 33.78/22.37 tff(11435,plain,
% 33.78/22.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v122(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v122(constB73)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11436,plain,
% 33.78/22.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v122(constB73)))),
% 33.78/22.37 inference(quant_inst,[status(thm)],[])).
% 33.78/22.37 tff(11437,plain,
% 33.78/22.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v122(constB73))),
% 33.78/22.37 inference(modus_ponens,[status(thm)],[11436, 11435])).
% 33.78/22.37 tff(11438,plain,
% 33.78/22.37 (~v122(constB73)),
% 33.78/22.37 inference(unit_resolution,[status(thm)],[11437, 2131, 11301])).
% 33.78/22.37 tff(11439,plain,
% 33.78/22.37 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB73)) | (~v90(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB73)) | (~v90(constB73, bitIndex1)))),
% 33.78/22.37 inference(rewrite,[status(thm)],[])).
% 33.78/22.37 tff(11440,plain,
% 33.78/22.37 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB73)) | (~v90(constB73, bitIndex1)))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11441,plain,
% 33.78/22.38 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB73)) | (~v90(constB73, bitIndex1))),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11440, 11439])).
% 33.78/22.38 tff(11442,plain,
% 33.78/22.38 (~v119(constB73)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11441, 2230, 11332])).
% 33.78/22.38 tff(11443,plain,
% 33.78/22.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v123(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v123(constB73)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11444,plain,
% 33.78/22.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v123(constB73)))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11445,plain,
% 33.78/22.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v123(constB73))),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11444, 11443])).
% 33.78/22.38 tff(11446,plain,
% 33.78/22.38 (~v123(constB73)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11445, 2194, 11332])).
% 33.78/22.38 tff(11447,plain,
% 33.78/22.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v124(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v124(constB73)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11448,plain,
% 33.78/22.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v124(constB73)))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11449,plain,
% 33.78/22.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v124(constB73))),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11448, 11447])).
% 33.78/22.38 tff(11450,plain,
% 33.78/22.38 (~v124(constB73)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11449, 2205, 11332])).
% 33.78/22.38 tff(11451,plain,
% 33.78/22.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v120(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v120(constB73)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11452,plain,
% 33.78/22.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v120(constB73)))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11453,plain,
% 33.78/22.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v120(constB73))),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11452, 11451])).
% 33.78/22.38 tff(11454,plain,
% 33.78/22.38 (~v120(constB73)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11453, 2183, 11332])).
% 33.78/22.38 tff(11455,plain,
% 33.78/22.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | (~v130(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | (~v130(constB73, bitIndex2)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11456,plain,
% 33.78/22.38 ((v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2))) <=> (v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | (~v130(constB73, bitIndex2)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11457,plain,
% 33.78/22.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | (~v130(constB73, bitIndex2))))),
% 33.78/22.38 inference(monotonicity,[status(thm)],[11456])).
% 33.78/22.38 tff(11458,plain,
% 33.78/22.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | (~v130(constB73, bitIndex2)))),
% 33.78/22.38 inference(transitivity,[status(thm)],[11457, 11455])).
% 33.78/22.38 tff(11459,plain,
% 33.78/22.38 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2)))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11460,plain,
% 33.78/22.38 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | (~v130(constB73, bitIndex2))),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11459, 11458])).
% 33.78/22.38 tff(11461,plain,
% 33.78/22.38 (~v130(constB73, bitIndex2)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11460, 2244, 11454, 11450, 11446, 11442, 11438, 11434])).
% 33.78/22.38 tff(11462,plain,
% 33.78/22.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11463,plain,
% 33.78/22.38 ((v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2))) <=> ((~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11464,plain,
% 33.78/22.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2)))),
% 33.78/22.38 inference(monotonicity,[status(thm)],[11463])).
% 33.78/22.38 tff(11465,plain,
% 33.78/22.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))),
% 33.78/22.38 inference(transitivity,[status(thm)],[11464, 11462])).
% 33.78/22.38 tff(11466,plain,
% 33.78/22.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2)))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11467,plain,
% 33.78/22.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2)),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11466, 11465])).
% 33.78/22.38 tff(11468,plain,
% 33.78/22.38 ((~v127(constB73, bitIndex2)) | v130(constB73, bitIndex2)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11467, 689, 11378])).
% 33.78/22.38 tff(11469,plain,
% 33.78/22.38 (~v127(constB73, bitIndex2)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11468, 11461])).
% 33.78/22.38 tff(11470,plain,
% 33.78/22.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11471,plain,
% 33.78/22.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2)))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11472,plain,
% 33.78/22.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2))),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11471, 11470])).
% 33.78/22.38 tff(11473,plain,
% 33.78/22.38 (v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2))),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11472, 707, 11390])).
% 33.78/22.38 tff(11474,plain,
% 33.78/22.38 (~v129(constB74, bitIndex2)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11473, 11469])).
% 33.78/22.38 tff(11475,plain,
% 33.78/22.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11476,plain,
% 33.78/22.38 (((~v90(constB74, bitIndex2)) | (~v100(constB74)) | v129(constB74, bitIndex2)) <=> ((~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11477,plain,
% 33.78/22.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~v100(constB74)) | v129(constB74, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74))))),
% 33.78/22.38 inference(monotonicity,[status(thm)],[11476])).
% 33.78/22.38 tff(11478,plain,
% 33.78/22.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~v100(constB74)) | v129(constB74, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))),
% 33.78/22.38 inference(transitivity,[status(thm)],[11477, 11475])).
% 33.78/22.38 tff(11479,plain,
% 33.78/22.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~v100(constB74)) | v129(constB74, bitIndex2))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11480,plain,
% 33.78/22.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74))),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11479, 11478])).
% 33.78/22.38 tff(11481,plain,
% 33.78/22.38 ((~v90(constB74, bitIndex2)) | (~v100(constB74))),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11480, 722, 11474])).
% 33.78/22.38 tff(11482,plain,
% 33.78/22.38 (~v90(constB74, bitIndex2)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11481, 11430])).
% 33.78/22.38 tff(11483,plain,
% 33.78/22.38 ((~v1(constB75)) <=> (~v1(constB75))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11484,axiom,(~v1(constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 33.78/22.38 tff(11485,plain,
% 33.78/22.38 (~v1(constB75)),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11484, 11483])).
% 33.78/22.38 tff(11486,plain,
% 33.78/22.38 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11487,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 33.78/22.38 tff(11488,plain,
% 33.78/22.38 (nextState(constB74, constB75)),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11487, 11486])).
% 33.78/22.38 tff(11489,plain,
% 33.78/22.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11490,plain,
% 33.78/22.38 (((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11491,plain,
% 33.78/22.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))))),
% 33.78/22.38 inference(monotonicity,[status(thm)],[11490])).
% 33.78/22.38 tff(11492,plain,
% 33.78/22.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 33.78/22.38 inference(transitivity,[status(thm)],[11491, 11489])).
% 33.78/22.38 tff(11493,plain,
% 33.78/22.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11494,plain,
% 33.78/22.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11493, 11492])).
% 33.78/22.38 tff(11495,plain,
% 33.78/22.38 (~v101(constB75)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11494, 381, 11488, 11485])).
% 33.78/22.38 tff(11496,plain,
% 33.78/22.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11497,plain,
% 33.78/22.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11498,plain,
% 33.78/22.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75))),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11497, 11496])).
% 33.78/22.38 tff(11499,plain,
% 33.78/22.38 (v101(constB75) | (~v100(constB75))),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11498, 398, 11488])).
% 33.78/22.38 tff(11500,plain,
% 33.78/22.38 (~v100(constB75)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11499, 11495])).
% 33.78/22.38 tff(11501,plain,
% 33.78/22.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11502,plain,
% 33.78/22.38 (((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2))) <=> (v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11503,plain,
% 33.78/22.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2))))),
% 33.78/22.38 inference(monotonicity,[status(thm)],[11502])).
% 33.78/22.38 tff(11504,plain,
% 33.78/22.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 33.78/22.38 inference(transitivity,[status(thm)],[11503, 11501])).
% 33.78/22.38 tff(11505,plain,
% 33.78/22.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11506,plain,
% 33.78/22.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2))),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11505, 11504])).
% 33.78/22.38 tff(11507,plain,
% 33.78/22.38 (v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2))),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11506, 413, 11488])).
% 33.78/22.38 tff(11508,plain,
% 33.78/22.38 (v90(constB74, bitIndex2) | (~v90(constB75, bitIndex2))),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11507, 11500])).
% 33.78/22.38 tff(11509,plain,
% 33.78/22.38 (~v90(constB75, bitIndex2)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11508, 11482])).
% 33.78/22.38 tff(11510,plain,
% 33.78/22.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | (~v130(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | (~v130(constB73, bitIndex1)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11511,plain,
% 33.78/22.38 ((v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1))) <=> (v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | (~v130(constB73, bitIndex1)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11512,plain,
% 33.78/22.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | (~v130(constB73, bitIndex1))))),
% 33.78/22.38 inference(monotonicity,[status(thm)],[11511])).
% 33.78/22.38 tff(11513,plain,
% 33.78/22.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | (~v130(constB73, bitIndex1)))),
% 33.78/22.38 inference(transitivity,[status(thm)],[11512, 11510])).
% 33.78/22.38 tff(11514,plain,
% 33.78/22.38 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11515,plain,
% 33.78/22.38 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | (~v130(constB73, bitIndex1))),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11514, 11513])).
% 33.78/22.38 tff(11516,plain,
% 33.78/22.38 (~v130(constB73, bitIndex1)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11515, 2448, 11454, 11450, 11446, 11442, 11438, 11434])).
% 33.78/22.38 tff(11517,plain,
% 33.78/22.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11518,plain,
% 33.78/22.38 ((v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1))) <=> ((~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11519,plain,
% 33.78/22.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1)))),
% 33.78/22.38 inference(monotonicity,[status(thm)],[11518])).
% 33.78/22.38 tff(11520,plain,
% 33.78/22.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))),
% 33.78/22.38 inference(transitivity,[status(thm)],[11519, 11517])).
% 33.78/22.38 tff(11521,plain,
% 33.78/22.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1)))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11522,plain,
% 33.78/22.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1)),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11521, 11520])).
% 33.78/22.38 tff(11523,plain,
% 33.78/22.38 ((~v127(constB73, bitIndex1)) | v130(constB73, bitIndex1)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11522, 781, 11378])).
% 33.78/22.38 tff(11524,plain,
% 33.78/22.38 (~v127(constB73, bitIndex1)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11523, 11516])).
% 33.78/22.38 tff(11525,plain,
% 33.78/22.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11526,plain,
% 33.78/22.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1)))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11527,plain,
% 33.78/22.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1))),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11526, 11525])).
% 33.78/22.38 tff(11528,plain,
% 33.78/22.38 (v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1))),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11527, 799, 11390])).
% 33.78/22.38 tff(11529,plain,
% 33.78/22.38 (~v129(constB74, bitIndex1)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11528, 11524])).
% 33.78/22.38 tff(11530,plain,
% 33.78/22.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11531,plain,
% 33.78/22.38 (((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1)) <=> ((~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11532,plain,
% 33.78/22.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74))))),
% 33.78/22.38 inference(monotonicity,[status(thm)],[11531])).
% 33.78/22.38 tff(11533,plain,
% 33.78/22.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))),
% 33.78/22.38 inference(transitivity,[status(thm)],[11532, 11530])).
% 33.78/22.38 tff(11534,plain,
% 33.78/22.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11535,plain,
% 33.78/22.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74))),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11534, 11533])).
% 33.78/22.38 tff(11536,plain,
% 33.78/22.38 ((~v90(constB74, bitIndex1)) | (~v100(constB74))),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11535, 814, 11529])).
% 33.78/22.38 tff(11537,plain,
% 33.78/22.38 (~v90(constB74, bitIndex1)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11536, 11430])).
% 33.78/22.38 tff(11538,plain,
% 33.78/22.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11539,plain,
% 33.78/22.38 (((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1))) <=> (v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11540,plain,
% 33.78/22.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1))))),
% 33.78/22.38 inference(monotonicity,[status(thm)],[11539])).
% 33.78/22.38 tff(11541,plain,
% 33.78/22.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 33.78/22.38 inference(transitivity,[status(thm)],[11540, 11538])).
% 33.78/22.38 tff(11542,plain,
% 33.78/22.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 33.78/22.38 inference(quant_inst,[status(thm)],[])).
% 33.78/22.38 tff(11543,plain,
% 33.78/22.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1))),
% 33.78/22.38 inference(modus_ponens,[status(thm)],[11542, 11541])).
% 33.78/22.38 tff(11544,plain,
% 33.78/22.38 (v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1))),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11543, 434, 11488])).
% 33.78/22.38 tff(11545,plain,
% 33.78/22.38 (v90(constB74, bitIndex1) | (~v90(constB75, bitIndex1))),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11544, 11500])).
% 33.78/22.38 tff(11546,plain,
% 33.78/22.38 (~v90(constB75, bitIndex1)),
% 33.78/22.38 inference(unit_resolution,[status(thm)],[11545, 11537])).
% 33.78/22.38 tff(11547,plain,
% 33.78/22.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | v130(constB73, bitIndex0))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11548,plain,
% 33.78/22.38 ((v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0)) <=> (v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | v130(constB73, bitIndex0))),
% 33.78/22.38 inference(rewrite,[status(thm)],[])).
% 33.78/22.38 tff(11549,plain,
% 33.78/22.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | v130(constB73, bitIndex0)))),
% 33.78/22.38 inference(monotonicity,[status(thm)],[11548])).
% 33.78/22.38 tff(11550,plain,
% 33.78/22.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | v130(constB73, bitIndex0))),
% 33.78/22.39 inference(transitivity,[status(thm)],[11549, 11547])).
% 33.78/22.39 tff(11551,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11552,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v122(constB73) | v123(constB73) | v121(constB73) | v119(constB73) | v124(constB73) | v120(constB73) | v130(constB73, bitIndex0)),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11551, 11550])).
% 33.78/22.39 tff(11553,plain,
% 33.78/22.39 (v130(constB73, bitIndex0)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11552, 2495, 11454, 11450, 11446, 11442, 11438, 11434])).
% 33.78/22.39 tff(11554,plain,
% 33.78/22.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11555,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11556,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0)),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11555, 11554])).
% 33.78/22.39 tff(11557,plain,
% 33.78/22.39 ((~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11556, 855, 11378])).
% 33.78/22.39 tff(11558,plain,
% 33.78/22.39 (v127(constB73, bitIndex0)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11557, 11553])).
% 33.78/22.39 tff(11559,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11560,plain,
% 33.78/22.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11561,plain,
% 33.78/22.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0)),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11560, 11559])).
% 33.78/22.39 tff(11562,plain,
% 33.78/22.39 ((~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11561, 870, 11390])).
% 33.78/22.39 tff(11563,plain,
% 33.78/22.39 (v129(constB74, bitIndex0)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11562, 11558])).
% 33.78/22.39 tff(11564,plain,
% 33.78/22.39 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11565,plain,
% 33.78/22.39 ((v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0))) <=> (v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11566,plain,
% 33.78/22.39 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74))))),
% 33.78/22.39 inference(monotonicity,[status(thm)],[11565])).
% 33.78/22.39 tff(11567,plain,
% 33.78/22.39 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))),
% 33.78/22.39 inference(transitivity,[status(thm)],[11566, 11564])).
% 33.78/22.39 tff(11568,plain,
% 33.78/22.39 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0)))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11569,plain,
% 33.78/22.39 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74))),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11568, 11567])).
% 33.78/22.39 tff(11570,plain,
% 33.78/22.39 (v90(constB74, bitIndex0) | (~v100(constB74))),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11569, 885, 11563])).
% 33.78/22.39 tff(11571,plain,
% 33.78/22.39 (v90(constB74, bitIndex0)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11570, 11430])).
% 33.78/22.39 tff(11572,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11573,plain,
% 33.78/22.39 (((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0)) <=> ((~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11574,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0)))),
% 33.78/22.39 inference(monotonicity,[status(thm)],[11573])).
% 33.78/22.39 tff(11575,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))),
% 33.78/22.39 inference(transitivity,[status(thm)],[11574, 11572])).
% 33.78/22.39 tff(11576,plain,
% 33.78/22.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11577,plain,
% 33.78/22.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0)),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11576, 11575])).
% 33.78/22.39 tff(11578,plain,
% 33.78/22.39 ((~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11577, 903, 11488])).
% 33.78/22.39 tff(11579,plain,
% 33.78/22.39 ((~v90(constB74, bitIndex0)) | v90(constB75, bitIndex0)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11578, 11500])).
% 33.78/22.39 tff(11580,plain,
% 33.78/22.39 (v90(constB75, bitIndex0)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11579, 11571])).
% 33.78/22.39 tff(11581,plain,
% 33.78/22.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11582,plain,
% 33.78/22.39 (((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2)) <=> ((~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11583,plain,
% 33.78/22.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75)))),
% 33.78/22.39 inference(monotonicity,[status(thm)],[11582])).
% 33.78/22.39 tff(11584,plain,
% 33.78/22.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))),
% 33.78/22.39 inference(transitivity,[status(thm)],[11583, 11581])).
% 33.78/22.39 tff(11585,plain,
% 33.78/22.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11586,plain,
% 33.78/22.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75)),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11585, 11584])).
% 33.78/22.39 tff(11587,plain,
% 33.78/22.39 (v120(constB75)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11586, 922, 11580, 11546, 11509])).
% 33.78/22.39 tff(11588,plain,
% 33.78/22.39 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB75) | (~v120(constB75)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB75) | (~v120(constB75)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11589,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB75) | (~v120(constB75)))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11590,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB75) | (~v120(constB75))),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11589, 11588])).
% 33.78/22.39 tff(11591,plain,
% 33.78/22.39 (v118(constB75)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11590, 936, 11587])).
% 33.78/22.39 tff(11592,plain,
% 33.78/22.39 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB75) | (~v118(constB75)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB75) | (~v118(constB75)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11593,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB75) | (~v118(constB75)))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11594,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB75) | (~v118(constB75))),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11593, 11592])).
% 33.78/22.39 tff(11595,plain,
% 33.78/22.39 (v117(constB75)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11594, 498, 11591])).
% 33.78/22.39 tff(11596,plain,
% 33.78/22.39 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB75) | (~v117(constB75)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB75) | (~v117(constB75)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11597,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB75) | (~v117(constB75)))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11598,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB75) | (~v117(constB75))),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11597, 11596])).
% 33.78/22.39 tff(11599,plain,
% 33.78/22.39 (v116(constB75)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11598, 509, 11595])).
% 33.78/22.39 tff(11600,plain,
% 33.78/22.39 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB75) | (~v116(constB75)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB75) | (~v116(constB75)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11601,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB75) | (~v116(constB75)))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11602,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB75) | (~v116(constB75))),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11601, 11600])).
% 33.78/22.39 tff(11603,plain,
% 33.78/22.39 (v115(constB75)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11602, 520, 11599])).
% 33.78/22.39 tff(11604,plain,
% 33.78/22.39 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB75) | (~v115(constB75)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB75) | (~v115(constB75)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11605,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB75) | (~v115(constB75)))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11606,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB75) | (~v115(constB75))),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11605, 11604])).
% 33.78/22.39 tff(11607,plain,
% 33.78/22.39 (v114(constB75)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11606, 531, 11603])).
% 33.78/22.39 tff(11608,plain,
% 33.78/22.39 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB75) | (~v114(constB75)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB75) | (~v114(constB75)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11609,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB75) | (~v114(constB75)))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11610,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB75) | (~v114(constB75))),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11609, 11608])).
% 33.78/22.39 tff(11611,plain,
% 33.78/22.39 (v113(constB75)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11610, 542, 11607])).
% 33.78/22.39 tff(11612,assumption,(v26(constB75)), introduced(assumption)).
% 33.78/22.39 tff(11613,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB75))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11614,plain,
% 33.78/22.39 ($false),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11613, 120, 11612])).
% 33.78/22.39 tff(11615,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 33.78/22.39 tff(11616,plain,
% 33.78/22.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | v112(constB75) | (~v113(constB75)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11617,plain,
% 33.78/22.39 ((v26(constB75) | (~v113(constB75)) | v112(constB75)) <=> (v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11618,plain,
% 33.78/22.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | v112(constB75) | (~v113(constB75))))),
% 33.78/22.39 inference(monotonicity,[status(thm)],[11617])).
% 33.78/22.39 tff(11619,plain,
% 33.78/22.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 33.78/22.39 inference(transitivity,[status(thm)],[11618, 11616])).
% 33.78/22.39 tff(11620,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11621,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75))),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11620, 11619])).
% 33.78/22.39 tff(11622,plain,
% 33.78/22.39 (v112(constB75) | (~v113(constB75))),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11621, 556, 11615])).
% 33.78/22.39 tff(11623,plain,
% 33.78/22.39 (v112(constB75)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11622, 11611])).
% 33.78/22.39 tff(11624,plain,
% 33.78/22.39 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB75) | (~v112(constB75)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11625,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB75) | (~v112(constB75)))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11626,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB75) | (~v112(constB75))),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11625, 11624])).
% 33.78/22.39 tff(11627,plain,
% 33.78/22.39 (v108(constB75)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11626, 568, 11623])).
% 33.78/22.39 tff(11628,plain,
% 33.78/22.39 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11629,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 33.78/22.39 tff(11630,plain,
% 33.78/22.39 (nextState(constB75, constB76)),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11629, 11628])).
% 33.78/22.39 tff(11631,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11632,plain,
% 33.78/22.39 (((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76)) <=> ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11633,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))))),
% 33.78/22.39 inference(monotonicity,[status(thm)],[11632])).
% 33.78/22.39 tff(11634,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 33.78/22.39 inference(transitivity,[status(thm)],[11633, 11631])).
% 33.78/22.39 tff(11635,plain,
% 33.78/22.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11636,plain,
% 33.78/22.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11635, 11634])).
% 33.78/22.39 tff(11637,plain,
% 33.78/22.39 (v110(constB76) | (~v108(constB75))),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11636, 585, 11630])).
% 33.78/22.39 tff(11638,plain,
% 33.78/22.39 (v110(constB76)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11637, 11627])).
% 33.78/22.39 tff(11639,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11640,plain,
% 33.78/22.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11641,plain,
% 33.78/22.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76))),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11640, 11639])).
% 33.78/22.39 tff(11642,plain,
% 33.78/22.39 (~v104(constB76)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11641, 603, 11630, 11485])).
% 33.78/22.39 tff(11643,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11644,plain,
% 33.78/22.39 (((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76)) <=> ((~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11645,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | v102(constB76)))),
% 33.78/22.39 inference(monotonicity,[status(thm)],[11644])).
% 33.78/22.39 tff(11646,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))),
% 33.78/22.39 inference(transitivity,[status(thm)],[11645, 11643])).
% 33.78/22.39 tff(11647,plain,
% 33.78/22.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11648,plain,
% 33.78/22.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | v102(constB76)),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11647, 11646])).
% 33.78/22.39 tff(11649,plain,
% 33.78/22.39 (v104(constB76) | v102(constB76)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11648, 617, 11630])).
% 33.78/22.39 tff(11650,plain,
% 33.78/22.39 (v102(constB76)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11649, 11642])).
% 33.78/22.39 tff(11651,plain,
% 33.78/22.39 (v1(constB76) <=> v1(constB76)),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11652,axiom,(v1(constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 33.78/22.39 tff(11653,plain,
% 33.78/22.39 (v1(constB76)),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11652, 11651])).
% 33.78/22.39 tff(11654,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11655,plain,
% 33.78/22.39 (((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76))) <=> ((~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11656,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76))))),
% 33.78/22.39 inference(monotonicity,[status(thm)],[11655])).
% 33.78/22.39 tff(11657,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))),
% 33.78/22.39 inference(transitivity,[status(thm)],[11656, 11654])).
% 33.78/22.39 tff(11658,plain,
% 33.78/22.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11659,plain,
% 33.78/22.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76))),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11658, 11657])).
% 33.78/22.39 tff(11660,plain,
% 33.78/22.39 (v101(constB76) | (~v102(constB76))),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11659, 638, 11630, 11653])).
% 33.78/22.39 tff(11661,plain,
% 33.78/22.39 (v101(constB76)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11660, 11650])).
% 33.78/22.39 tff(11662,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11663,plain,
% 33.78/22.39 (((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76)) <=> ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11664,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))))),
% 33.78/22.39 inference(monotonicity,[status(thm)],[11663])).
% 33.78/22.39 tff(11665,plain,
% 33.78/22.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 33.78/22.39 inference(transitivity,[status(thm)],[11664, 11662])).
% 33.78/22.39 tff(11666,plain,
% 33.78/22.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11667,plain,
% 33.78/22.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11666, 11665])).
% 33.78/22.39 tff(11668,plain,
% 33.78/22.39 (v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11667, 656, 11630])).
% 33.78/22.39 tff(11669,plain,
% 33.78/22.39 (v100(constB76) | (~v110(constB76))),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11668, 11661])).
% 33.78/22.39 tff(11670,plain,
% 33.78/22.39 (v100(constB76)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11669, 11638])).
% 33.78/22.39 tff(11671,plain,
% 33.78/22.39 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB75)) | (~v130(constB75, bitIndex2)))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11672,plain,
% 33.78/22.39 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex2)))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11673,plain,
% 33.78/22.39 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB75)) | (~v130(constB75, bitIndex2))),
% 33.78/22.39 inference(modus_ponens,[status(thm)],[11672, 11671])).
% 33.78/22.39 tff(11674,plain,
% 33.78/22.39 (~v130(constB75, bitIndex2)),
% 33.78/22.39 inference(unit_resolution,[status(thm)],[11673, 1025, 11587])).
% 33.78/22.39 tff(11675,plain,
% 33.78/22.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11676,plain,
% 33.78/22.39 ((v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2))) <=> ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 33.78/22.39 inference(rewrite,[status(thm)],[])).
% 33.78/22.39 tff(11677,plain,
% 33.78/22.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)))),
% 33.78/22.39 inference(monotonicity,[status(thm)],[11676])).
% 33.78/22.39 tff(11678,plain,
% 33.78/22.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 33.78/22.39 inference(transitivity,[status(thm)],[11677, 11675])).
% 33.78/22.39 tff(11679,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))),
% 33.78/22.39 inference(quant_inst,[status(thm)],[])).
% 33.78/22.39 tff(11680,plain,
% 33.78/22.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11679, 11678])).
% 33.78/22.40 tff(11681,plain,
% 33.78/22.40 ((~v127(constB75, bitIndex2)) | v130(constB75, bitIndex2)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11680, 689, 11615])).
% 33.78/22.40 tff(11682,plain,
% 33.78/22.40 (~v127(constB75, bitIndex2)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11681, 11674])).
% 33.78/22.40 tff(11683,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11684,plain,
% 33.78/22.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 33.78/22.40 inference(quant_inst,[status(thm)],[])).
% 33.78/22.40 tff(11685,plain,
% 33.78/22.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11684, 11683])).
% 33.78/22.40 tff(11686,plain,
% 33.78/22.40 (v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11685, 707, 11630])).
% 33.78/22.40 tff(11687,plain,
% 33.78/22.40 (~v129(constB76, bitIndex2)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11686, 11682])).
% 33.78/22.40 tff(11688,plain,
% 33.78/22.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11689,plain,
% 33.78/22.40 (((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2)) <=> ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11690,plain,
% 33.78/22.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76))))),
% 33.78/22.40 inference(monotonicity,[status(thm)],[11689])).
% 33.78/22.40 tff(11691,plain,
% 33.78/22.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 33.78/22.40 inference(transitivity,[status(thm)],[11690, 11688])).
% 33.78/22.40 tff(11692,plain,
% 33.78/22.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))),
% 33.78/22.40 inference(quant_inst,[status(thm)],[])).
% 33.78/22.40 tff(11693,plain,
% 33.78/22.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76))),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11692, 11691])).
% 33.78/22.40 tff(11694,plain,
% 33.78/22.40 ((~v90(constB76, bitIndex2)) | (~v100(constB76))),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11693, 722, 11687])).
% 33.78/22.40 tff(11695,plain,
% 33.78/22.40 (~v90(constB76, bitIndex2)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11694, 11670])).
% 33.78/22.40 tff(11696,plain,
% 33.78/22.40 ((~v1(constB77)) <=> (~v1(constB77))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11697,axiom,(~v1(constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 33.78/22.40 tff(11698,plain,
% 33.78/22.40 (~v1(constB77)),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11697, 11696])).
% 33.78/22.40 tff(11699,plain,
% 33.78/22.40 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11700,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 33.78/22.40 tff(11701,plain,
% 33.78/22.40 (nextState(constB76, constB77)),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11700, 11699])).
% 33.78/22.40 tff(11702,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11703,plain,
% 33.78/22.40 (((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11704,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))))),
% 33.78/22.40 inference(monotonicity,[status(thm)],[11703])).
% 33.78/22.40 tff(11705,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 33.78/22.40 inference(transitivity,[status(thm)],[11704, 11702])).
% 33.78/22.40 tff(11706,plain,
% 33.78/22.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))),
% 33.78/22.40 inference(quant_inst,[status(thm)],[])).
% 33.78/22.40 tff(11707,plain,
% 33.78/22.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11706, 11705])).
% 33.78/22.40 tff(11708,plain,
% 33.78/22.40 (~v101(constB77)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11707, 381, 11701, 11698])).
% 33.78/22.40 tff(11709,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11710,plain,
% 33.78/22.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 33.78/22.40 inference(quant_inst,[status(thm)],[])).
% 33.78/22.40 tff(11711,plain,
% 33.78/22.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77))),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11710, 11709])).
% 33.78/22.40 tff(11712,plain,
% 33.78/22.40 (v101(constB77) | (~v100(constB77))),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11711, 398, 11701])).
% 33.78/22.40 tff(11713,plain,
% 33.78/22.40 (~v100(constB77)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11712, 11708])).
% 33.78/22.40 tff(11714,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11715,plain,
% 33.78/22.40 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))) <=> (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11716,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))))),
% 33.78/22.40 inference(monotonicity,[status(thm)],[11715])).
% 33.78/22.40 tff(11717,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 33.78/22.40 inference(transitivity,[status(thm)],[11716, 11714])).
% 33.78/22.40 tff(11718,plain,
% 33.78/22.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 33.78/22.40 inference(quant_inst,[status(thm)],[])).
% 33.78/22.40 tff(11719,plain,
% 33.78/22.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11718, 11717])).
% 33.78/22.40 tff(11720,plain,
% 33.78/22.40 (v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11719, 413, 11701])).
% 33.78/22.40 tff(11721,plain,
% 33.78/22.40 (v90(constB76, bitIndex2) | (~v90(constB77, bitIndex2))),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11720, 11713])).
% 33.78/22.40 tff(11722,plain,
% 33.78/22.40 (~v90(constB77, bitIndex2)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11721, 11695])).
% 33.78/22.40 tff(11723,plain,
% 33.78/22.40 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB75)) | v130(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB75)) | v130(constB75, bitIndex1))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11724,plain,
% 33.78/22.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB75)) | v130(constB75, bitIndex1))),
% 33.78/22.40 inference(quant_inst,[status(thm)],[])).
% 33.78/22.40 tff(11725,plain,
% 33.78/22.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB75)) | v130(constB75, bitIndex1)),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11724, 11723])).
% 33.78/22.40 tff(11726,plain,
% 33.78/22.40 (v130(constB75, bitIndex1)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11725, 1087, 11587])).
% 33.78/22.40 tff(11727,plain,
% 33.78/22.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11728,plain,
% 33.78/22.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1))),
% 33.78/22.40 inference(quant_inst,[status(thm)],[])).
% 33.78/22.40 tff(11729,plain,
% 33.78/22.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1)),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11728, 11727])).
% 33.78/22.40 tff(11730,plain,
% 33.78/22.40 ((~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11729, 1101, 11615])).
% 33.78/22.40 tff(11731,plain,
% 33.78/22.40 (v127(constB75, bitIndex1)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11730, 11726])).
% 33.78/22.40 tff(11732,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11733,plain,
% 33.78/22.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1))),
% 33.78/22.40 inference(quant_inst,[status(thm)],[])).
% 33.78/22.40 tff(11734,plain,
% 33.78/22.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1)),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11733, 11732])).
% 33.78/22.40 tff(11735,plain,
% 33.78/22.40 ((~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11734, 1116, 11630])).
% 33.78/22.40 tff(11736,plain,
% 33.78/22.40 (v129(constB76, bitIndex1)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11735, 11731])).
% 33.78/22.40 tff(11737,plain,
% 33.78/22.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11738,plain,
% 33.78/22.40 ((v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1))) <=> (v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11739,plain,
% 33.78/22.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76))))),
% 33.78/22.40 inference(monotonicity,[status(thm)],[11738])).
% 33.78/22.40 tff(11740,plain,
% 33.78/22.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))),
% 33.78/22.40 inference(transitivity,[status(thm)],[11739, 11737])).
% 33.78/22.40 tff(11741,plain,
% 33.78/22.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1)))),
% 33.78/22.40 inference(quant_inst,[status(thm)],[])).
% 33.78/22.40 tff(11742,plain,
% 33.78/22.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76))),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11741, 11740])).
% 33.78/22.40 tff(11743,plain,
% 33.78/22.40 (v90(constB76, bitIndex1) | (~v100(constB76))),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11742, 1131, 11736])).
% 33.78/22.40 tff(11744,plain,
% 33.78/22.40 (v90(constB76, bitIndex1)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11743, 11670])).
% 33.78/22.40 tff(11745,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11746,plain,
% 33.78/22.40 (((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1)) <=> ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11747,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1)))),
% 33.78/22.40 inference(monotonicity,[status(thm)],[11746])).
% 33.78/22.40 tff(11748,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 33.78/22.40 inference(transitivity,[status(thm)],[11747, 11745])).
% 33.78/22.40 tff(11749,plain,
% 33.78/22.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))),
% 33.78/22.40 inference(quant_inst,[status(thm)],[])).
% 33.78/22.40 tff(11750,plain,
% 33.78/22.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1)),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11749, 11748])).
% 33.78/22.40 tff(11751,plain,
% 33.78/22.40 ((~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11750, 1149, 11701])).
% 33.78/22.40 tff(11752,plain,
% 33.78/22.40 ((~v90(constB76, bitIndex1)) | v90(constB77, bitIndex1)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11751, 11713])).
% 33.78/22.40 tff(11753,plain,
% 33.78/22.40 (v90(constB77, bitIndex1)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11752, 11744])).
% 33.78/22.40 tff(11754,plain,
% 33.78/22.40 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB75)) | (~v130(constB75, bitIndex0)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11755,plain,
% 33.78/22.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex0)))),
% 33.78/22.40 inference(quant_inst,[status(thm)],[])).
% 33.78/22.40 tff(11756,plain,
% 33.78/22.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB75)) | (~v130(constB75, bitIndex0))),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11755, 11754])).
% 33.78/22.40 tff(11757,plain,
% 33.78/22.40 (~v130(constB75, bitIndex0)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11756, 1168, 11587])).
% 33.78/22.40 tff(11758,plain,
% 33.78/22.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11759,plain,
% 33.78/22.40 ((v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0))) <=> ((~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11760,plain,
% 33.78/22.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0)))),
% 33.78/22.40 inference(monotonicity,[status(thm)],[11759])).
% 33.78/22.40 tff(11761,plain,
% 33.78/22.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))),
% 33.78/22.40 inference(transitivity,[status(thm)],[11760, 11758])).
% 33.78/22.40 tff(11762,plain,
% 33.78/22.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0)))),
% 33.78/22.40 inference(quant_inst,[status(thm)],[])).
% 33.78/22.40 tff(11763,plain,
% 33.78/22.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0)),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11762, 11761])).
% 33.78/22.40 tff(11764,plain,
% 33.78/22.40 ((~v127(constB75, bitIndex0)) | v130(constB75, bitIndex0)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11763, 1182, 11615])).
% 33.78/22.40 tff(11765,plain,
% 33.78/22.40 (~v127(constB75, bitIndex0)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11764, 11757])).
% 33.78/22.40 tff(11766,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11767,plain,
% 33.78/22.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0)))),
% 33.78/22.40 inference(quant_inst,[status(thm)],[])).
% 33.78/22.40 tff(11768,plain,
% 33.78/22.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0))),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11767, 11766])).
% 33.78/22.40 tff(11769,plain,
% 33.78/22.40 (v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0))),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11768, 1200, 11630])).
% 33.78/22.40 tff(11770,plain,
% 33.78/22.40 (~v129(constB76, bitIndex0)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11769, 11765])).
% 33.78/22.40 tff(11771,plain,
% 33.78/22.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11772,plain,
% 33.78/22.40 (((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0)) <=> ((~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11773,plain,
% 33.78/22.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76))))),
% 33.78/22.40 inference(monotonicity,[status(thm)],[11772])).
% 33.78/22.40 tff(11774,plain,
% 33.78/22.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))),
% 33.78/22.40 inference(transitivity,[status(thm)],[11773, 11771])).
% 33.78/22.40 tff(11775,plain,
% 33.78/22.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0))),
% 33.78/22.40 inference(quant_inst,[status(thm)],[])).
% 33.78/22.40 tff(11776,plain,
% 33.78/22.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76))),
% 33.78/22.40 inference(modus_ponens,[status(thm)],[11775, 11774])).
% 33.78/22.40 tff(11777,plain,
% 33.78/22.40 ((~v90(constB76, bitIndex0)) | (~v100(constB76))),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11776, 1215, 11770])).
% 33.78/22.40 tff(11778,plain,
% 33.78/22.40 (~v90(constB76, bitIndex0)),
% 33.78/22.40 inference(unit_resolution,[status(thm)],[11777, 11670])).
% 33.78/22.40 tff(11779,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11780,plain,
% 33.78/22.40 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0))) <=> (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 33.78/22.40 inference(rewrite,[status(thm)],[])).
% 33.78/22.40 tff(11781,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0))))),
% 33.78/22.40 inference(monotonicity,[status(thm)],[11780])).
% 33.78/22.40 tff(11782,plain,
% 33.78/22.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 33.78/22.40 inference(transitivity,[status(thm)],[11781, 11779])).
% 33.78/22.40 tff(11783,plain,
% 33.78/22.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11784,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11783, 11782])).
% 33.78/22.41 tff(11785,plain,
% 33.78/22.41 (v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0))),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11784, 455, 11701])).
% 33.78/22.41 tff(11786,plain,
% 33.78/22.41 (v90(constB76, bitIndex0) | (~v90(constB77, bitIndex0))),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11785, 11713])).
% 33.78/22.41 tff(11787,plain,
% 33.78/22.41 (~v90(constB77, bitIndex0)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11786, 11778])).
% 33.78/22.41 tff(11788,plain,
% 33.78/22.41 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11789,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11790,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77)),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11789, 11788])).
% 33.78/22.41 tff(11791,plain,
% 33.78/22.41 (v121(constB77)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11790, 1242, 11787, 11753, 11722])).
% 33.78/22.41 tff(11792,plain,
% 33.78/22.41 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB77) | (~v121(constB77)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB77) | (~v121(constB77)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11793,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB77) | (~v121(constB77)))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11794,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB77) | (~v121(constB77))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11793, 11792])).
% 33.78/22.41 tff(11795,plain,
% 33.78/22.41 (v117(constB77)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11794, 1253, 11791])).
% 33.78/22.41 tff(11796,plain,
% 33.78/22.41 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB77) | (~v117(constB77)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB77) | (~v117(constB77)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11797,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB77) | (~v117(constB77)))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11798,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB77) | (~v117(constB77))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11797, 11796])).
% 33.78/22.41 tff(11799,plain,
% 33.78/22.41 (v116(constB77)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11798, 509, 11795])).
% 33.78/22.41 tff(11800,plain,
% 33.78/22.41 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB77) | (~v116(constB77)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11801,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB77) | (~v116(constB77)))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11802,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB77) | (~v116(constB77))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11801, 11800])).
% 33.78/22.41 tff(11803,plain,
% 33.78/22.41 (v115(constB77)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11802, 520, 11799])).
% 33.78/22.41 tff(11804,plain,
% 33.78/22.41 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB77) | (~v115(constB77)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11805,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB77) | (~v115(constB77)))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11806,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB77) | (~v115(constB77))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11805, 11804])).
% 33.78/22.41 tff(11807,plain,
% 33.78/22.41 (v114(constB77)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11806, 531, 11803])).
% 33.78/22.41 tff(11808,plain,
% 33.78/22.41 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB77) | (~v114(constB77)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB77) | (~v114(constB77)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11809,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB77) | (~v114(constB77)))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11810,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB77) | (~v114(constB77))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11809, 11808])).
% 33.78/22.41 tff(11811,plain,
% 33.78/22.41 (v113(constB77)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11810, 542, 11807])).
% 33.78/22.41 tff(11812,assumption,(v26(constB77)), introduced(assumption)).
% 33.78/22.41 tff(11813,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB77))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11814,plain,
% 33.78/22.41 ($false),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11813, 120, 11812])).
% 33.78/22.41 tff(11815,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 33.78/22.41 tff(11816,plain,
% 33.78/22.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11817,plain,
% 33.78/22.41 ((v26(constB77) | (~v113(constB77)) | v112(constB77)) <=> (v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11818,plain,
% 33.78/22.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77))))),
% 33.78/22.41 inference(monotonicity,[status(thm)],[11817])).
% 33.78/22.41 tff(11819,plain,
% 33.78/22.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 33.78/22.41 inference(transitivity,[status(thm)],[11818, 11816])).
% 33.78/22.41 tff(11820,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11821,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11820, 11819])).
% 33.78/22.41 tff(11822,plain,
% 33.78/22.41 (v112(constB77) | (~v113(constB77))),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11821, 556, 11815])).
% 33.78/22.41 tff(11823,plain,
% 33.78/22.41 (v112(constB77)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11822, 11811])).
% 33.78/22.41 tff(11824,plain,
% 33.78/22.41 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB77) | (~v112(constB77)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11825,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB77) | (~v112(constB77)))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11826,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB77) | (~v112(constB77))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11825, 11824])).
% 33.78/22.41 tff(11827,plain,
% 33.78/22.41 (v108(constB77)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11826, 568, 11823])).
% 33.78/22.41 tff(11828,plain,
% 33.78/22.41 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11829,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 33.78/22.41 tff(11830,plain,
% 33.78/22.41 (nextState(constB77, constB78)),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11829, 11828])).
% 33.78/22.41 tff(11831,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11832,plain,
% 33.78/22.41 (((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78)) <=> ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11833,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))))),
% 33.78/22.41 inference(monotonicity,[status(thm)],[11832])).
% 33.78/22.41 tff(11834,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 33.78/22.41 inference(transitivity,[status(thm)],[11833, 11831])).
% 33.78/22.41 tff(11835,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11836,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11835, 11834])).
% 33.78/22.41 tff(11837,plain,
% 33.78/22.41 (v110(constB78) | (~v108(constB77))),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11836, 585, 11830])).
% 33.78/22.41 tff(11838,plain,
% 33.78/22.41 (v110(constB78)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11837, 11827])).
% 33.78/22.41 tff(11839,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11840,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11841,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11840, 11839])).
% 33.78/22.41 tff(11842,plain,
% 33.78/22.41 (~v104(constB78)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11841, 603, 11830, 11698])).
% 33.78/22.41 tff(11843,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11844,plain,
% 33.78/22.41 (((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78)) <=> ((~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11845,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | v102(constB78)))),
% 33.78/22.41 inference(monotonicity,[status(thm)],[11844])).
% 33.78/22.41 tff(11846,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))),
% 33.78/22.41 inference(transitivity,[status(thm)],[11845, 11843])).
% 33.78/22.41 tff(11847,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11848,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | v102(constB78)),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11847, 11846])).
% 33.78/22.41 tff(11849,plain,
% 33.78/22.41 (v104(constB78) | v102(constB78)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11848, 617, 11830])).
% 33.78/22.41 tff(11850,plain,
% 33.78/22.41 (v102(constB78)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11849, 11842])).
% 33.78/22.41 tff(11851,plain,
% 33.78/22.41 (v1(constB78) <=> v1(constB78)),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11852,axiom,(v1(constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 33.78/22.41 tff(11853,plain,
% 33.78/22.41 (v1(constB78)),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11852, 11851])).
% 33.78/22.41 tff(11854,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11855,plain,
% 33.78/22.41 (((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78))) <=> ((~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11856,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78))))),
% 33.78/22.41 inference(monotonicity,[status(thm)],[11855])).
% 33.78/22.41 tff(11857,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))),
% 33.78/22.41 inference(transitivity,[status(thm)],[11856, 11854])).
% 33.78/22.41 tff(11858,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11859,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11858, 11857])).
% 33.78/22.41 tff(11860,plain,
% 33.78/22.41 (v101(constB78) | (~v102(constB78))),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11859, 638, 11830, 11853])).
% 33.78/22.41 tff(11861,plain,
% 33.78/22.41 (v101(constB78)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11860, 11850])).
% 33.78/22.41 tff(11862,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11863,plain,
% 33.78/22.41 (((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78)) <=> ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11864,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))))),
% 33.78/22.41 inference(monotonicity,[status(thm)],[11863])).
% 33.78/22.41 tff(11865,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 33.78/22.41 inference(transitivity,[status(thm)],[11864, 11862])).
% 33.78/22.41 tff(11866,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11867,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11866, 11865])).
% 33.78/22.41 tff(11868,plain,
% 33.78/22.41 (v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11867, 656, 11830])).
% 33.78/22.41 tff(11869,plain,
% 33.78/22.41 (v100(constB78) | (~v110(constB78))),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11868, 11861])).
% 33.78/22.41 tff(11870,plain,
% 33.78/22.41 (v100(constB78)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11869, 11838])).
% 33.78/22.41 tff(11871,plain,
% 33.78/22.41 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB77)) | (~v130(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB77)) | (~v130(constB77, bitIndex2)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11872,plain,
% 33.78/22.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB77)) | (~v130(constB77, bitIndex2)))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11873,plain,
% 33.78/22.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB77)) | (~v130(constB77, bitIndex2))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11872, 11871])).
% 33.78/22.41 tff(11874,plain,
% 33.78/22.41 (~v130(constB77, bitIndex2)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11873, 1342, 11791])).
% 33.78/22.41 tff(11875,plain,
% 33.78/22.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11876,plain,
% 33.78/22.41 ((v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2))) <=> ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11877,plain,
% 33.78/22.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)))),
% 33.78/22.41 inference(monotonicity,[status(thm)],[11876])).
% 33.78/22.41 tff(11878,plain,
% 33.78/22.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 33.78/22.41 inference(transitivity,[status(thm)],[11877, 11875])).
% 33.78/22.41 tff(11879,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11880,plain,
% 33.78/22.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11879, 11878])).
% 33.78/22.41 tff(11881,plain,
% 33.78/22.41 ((~v127(constB77, bitIndex2)) | v130(constB77, bitIndex2)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11880, 689, 11815])).
% 33.78/22.41 tff(11882,plain,
% 33.78/22.41 (~v127(constB77, bitIndex2)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11881, 11874])).
% 33.78/22.41 tff(11883,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11884,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11885,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11884, 11883])).
% 33.78/22.41 tff(11886,plain,
% 33.78/22.41 (v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11885, 707, 11830])).
% 33.78/22.41 tff(11887,plain,
% 33.78/22.41 (~v129(constB78, bitIndex2)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11886, 11882])).
% 33.78/22.41 tff(11888,plain,
% 33.78/22.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11889,plain,
% 33.78/22.41 (((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2)) <=> ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11890,plain,
% 33.78/22.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78))))),
% 33.78/22.41 inference(monotonicity,[status(thm)],[11889])).
% 33.78/22.41 tff(11891,plain,
% 33.78/22.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 33.78/22.41 inference(transitivity,[status(thm)],[11890, 11888])).
% 33.78/22.41 tff(11892,plain,
% 33.78/22.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11893,plain,
% 33.78/22.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11892, 11891])).
% 33.78/22.41 tff(11894,plain,
% 33.78/22.41 ((~v90(constB78, bitIndex2)) | (~v100(constB78))),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11893, 722, 11887])).
% 33.78/22.41 tff(11895,plain,
% 33.78/22.41 (~v90(constB78, bitIndex2)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11894, 11870])).
% 33.78/22.41 tff(11896,plain,
% 33.78/22.41 ((~v1(constB79)) <=> (~v1(constB79))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11897,axiom,(~v1(constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 33.78/22.41 tff(11898,plain,
% 33.78/22.41 (~v1(constB79)),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11897, 11896])).
% 33.78/22.41 tff(11899,plain,
% 33.78/22.41 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11900,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 33.78/22.41 tff(11901,plain,
% 33.78/22.41 (nextState(constB78, constB79)),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11900, 11899])).
% 33.78/22.41 tff(11902,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11903,plain,
% 33.78/22.41 (((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11904,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))))),
% 33.78/22.41 inference(monotonicity,[status(thm)],[11903])).
% 33.78/22.41 tff(11905,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 33.78/22.41 inference(transitivity,[status(thm)],[11904, 11902])).
% 33.78/22.41 tff(11906,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11907,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11906, 11905])).
% 33.78/22.41 tff(11908,plain,
% 33.78/22.41 (~v101(constB79)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11907, 381, 11901, 11898])).
% 33.78/22.41 tff(11909,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11910,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11911,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79))),
% 33.78/22.41 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 33.78/22.41 tff(11912,plain,
% 33.78/22.41 (v101(constB79) | (~v100(constB79))),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11911, 398, 11901])).
% 33.78/22.41 tff(11913,plain,
% 33.78/22.41 (~v100(constB79)),
% 33.78/22.41 inference(unit_resolution,[status(thm)],[11912, 11908])).
% 33.78/22.41 tff(11914,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11915,plain,
% 33.78/22.41 (((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))) <=> (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 33.78/22.41 inference(rewrite,[status(thm)],[])).
% 33.78/22.41 tff(11916,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))))),
% 33.78/22.41 inference(monotonicity,[status(thm)],[11915])).
% 33.78/22.41 tff(11917,plain,
% 33.78/22.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 33.78/22.41 inference(transitivity,[status(thm)],[11916, 11914])).
% 33.78/22.41 tff(11918,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 33.78/22.41 inference(quant_inst,[status(thm)],[])).
% 33.78/22.41 tff(11919,plain,
% 33.78/22.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[11918, 11917])).
% 33.78/22.42 tff(11920,plain,
% 33.78/22.42 (v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11919, 413, 11901])).
% 33.78/22.42 tff(11921,plain,
% 33.78/22.42 (v90(constB78, bitIndex2) | (~v90(constB79, bitIndex2))),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11920, 11913])).
% 33.78/22.42 tff(11922,plain,
% 33.78/22.42 (~v90(constB79, bitIndex2)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11921, 11895])).
% 33.78/22.42 tff(11923,plain,
% 33.78/22.42 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB77)) | v130(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB77)) | v130(constB77, bitIndex1))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11924,plain,
% 33.78/22.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB77)) | v130(constB77, bitIndex1))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(11925,plain,
% 33.78/22.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB77)) | v130(constB77, bitIndex1)),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[11924, 11923])).
% 33.78/22.42 tff(11926,plain,
% 33.78/22.42 (v130(constB77, bitIndex1)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11925, 1404, 11791])).
% 33.78/22.42 tff(11927,plain,
% 33.78/22.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11928,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(11929,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[11928, 11927])).
% 33.78/22.42 tff(11930,plain,
% 33.78/22.42 ((~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11929, 1101, 11815])).
% 33.78/22.42 tff(11931,plain,
% 33.78/22.42 (v127(constB77, bitIndex1)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11930, 11926])).
% 33.78/22.42 tff(11932,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11933,plain,
% 33.78/22.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(11934,plain,
% 33.78/22.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[11933, 11932])).
% 33.78/22.42 tff(11935,plain,
% 33.78/22.42 ((~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11934, 1116, 11830])).
% 33.78/22.42 tff(11936,plain,
% 33.78/22.42 (v129(constB78, bitIndex1)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11935, 11931])).
% 33.78/22.42 tff(11937,plain,
% 33.78/22.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11938,plain,
% 33.78/22.42 ((v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1))) <=> (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11939,plain,
% 33.78/22.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))))),
% 33.78/22.42 inference(monotonicity,[status(thm)],[11938])).
% 33.78/22.42 tff(11940,plain,
% 33.78/22.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 33.78/22.42 inference(transitivity,[status(thm)],[11939, 11937])).
% 33.78/22.42 tff(11941,plain,
% 33.78/22.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(11942,plain,
% 33.78/22.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[11941, 11940])).
% 33.78/22.42 tff(11943,plain,
% 33.78/22.42 (v90(constB78, bitIndex1) | (~v100(constB78))),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11942, 1131, 11936])).
% 33.78/22.42 tff(11944,plain,
% 33.78/22.42 (v90(constB78, bitIndex1)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11943, 11870])).
% 33.78/22.42 tff(11945,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11946,plain,
% 33.78/22.42 (((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)) <=> ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11947,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)))),
% 33.78/22.42 inference(monotonicity,[status(thm)],[11946])).
% 33.78/22.42 tff(11948,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 33.78/22.42 inference(transitivity,[status(thm)],[11947, 11945])).
% 33.78/22.42 tff(11949,plain,
% 33.78/22.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(11950,plain,
% 33.78/22.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[11949, 11948])).
% 33.78/22.42 tff(11951,plain,
% 33.78/22.42 ((~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11950, 1149, 11901])).
% 33.78/22.42 tff(11952,plain,
% 33.78/22.42 ((~v90(constB78, bitIndex1)) | v90(constB79, bitIndex1)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11951, 11913])).
% 33.78/22.42 tff(11953,plain,
% 33.78/22.42 (v90(constB79, bitIndex1)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11952, 11944])).
% 33.78/22.42 tff(11954,plain,
% 33.78/22.42 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB77)) | v130(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB77)) | v130(constB77, bitIndex0))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11955,plain,
% 33.78/22.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB77)) | v130(constB77, bitIndex0))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(11956,plain,
% 33.78/22.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB77)) | v130(constB77, bitIndex0)),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[11955, 11954])).
% 33.78/22.42 tff(11957,plain,
% 33.78/22.42 (v130(constB77, bitIndex0)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11956, 1445, 11791])).
% 33.78/22.42 tff(11958,plain,
% 33.78/22.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11959,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(11960,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0)),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[11959, 11958])).
% 33.78/22.42 tff(11961,plain,
% 33.78/22.42 ((~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11960, 855, 11815])).
% 33.78/22.42 tff(11962,plain,
% 33.78/22.42 (v127(constB77, bitIndex0)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11961, 11957])).
% 33.78/22.42 tff(11963,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11964,plain,
% 33.78/22.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(11965,plain,
% 33.78/22.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0)),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[11964, 11963])).
% 33.78/22.42 tff(11966,plain,
% 33.78/22.42 ((~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11965, 870, 11830])).
% 33.78/22.42 tff(11967,plain,
% 33.78/22.42 (v129(constB78, bitIndex0)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11966, 11962])).
% 33.78/22.42 tff(11968,plain,
% 33.78/22.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11969,plain,
% 33.78/22.42 ((v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0))) <=> (v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11970,plain,
% 33.78/22.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78))))),
% 33.78/22.42 inference(monotonicity,[status(thm)],[11969])).
% 33.78/22.42 tff(11971,plain,
% 33.78/22.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))),
% 33.78/22.42 inference(transitivity,[status(thm)],[11970, 11968])).
% 33.78/22.42 tff(11972,plain,
% 33.78/22.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0)))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(11973,plain,
% 33.78/22.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78))),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[11972, 11971])).
% 33.78/22.42 tff(11974,plain,
% 33.78/22.42 (v90(constB78, bitIndex0) | (~v100(constB78))),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11973, 885, 11967])).
% 33.78/22.42 tff(11975,plain,
% 33.78/22.42 (v90(constB78, bitIndex0)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11974, 11870])).
% 33.78/22.42 tff(11976,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11977,plain,
% 33.78/22.42 (((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0)) <=> ((~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11978,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0)))),
% 33.78/22.42 inference(monotonicity,[status(thm)],[11977])).
% 33.78/22.42 tff(11979,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))),
% 33.78/22.42 inference(transitivity,[status(thm)],[11978, 11976])).
% 33.78/22.42 tff(11980,plain,
% 33.78/22.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(11981,plain,
% 33.78/22.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0)),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[11980, 11979])).
% 33.78/22.42 tff(11982,plain,
% 33.78/22.42 ((~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11981, 903, 11901])).
% 33.78/22.42 tff(11983,plain,
% 33.78/22.42 ((~v90(constB78, bitIndex0)) | v90(constB79, bitIndex0)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11982, 11913])).
% 33.78/22.42 tff(11984,plain,
% 33.78/22.42 (v90(constB79, bitIndex0)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11983, 11975])).
% 33.78/22.42 tff(11985,plain,
% 33.78/22.42 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11986,plain,
% 33.78/22.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(11987,plain,
% 33.78/22.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79)),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[11986, 11985])).
% 33.78/22.42 tff(11988,plain,
% 33.78/22.42 (v122(constB79)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11987, 1486, 11984, 11953, 11922])).
% 33.78/22.42 tff(11989,plain,
% 33.78/22.42 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB79) | (~v122(constB79)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB79) | (~v122(constB79)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11990,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB79) | (~v122(constB79)))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(11991,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB79) | (~v122(constB79))),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[11990, 11989])).
% 33.78/22.42 tff(11992,plain,
% 33.78/22.42 (v116(constB79)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11991, 1497, 11988])).
% 33.78/22.42 tff(11993,plain,
% 33.78/22.42 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB79) | (~v116(constB79)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB79) | (~v116(constB79)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11994,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB79) | (~v116(constB79)))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(11995,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB79) | (~v116(constB79))),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[11994, 11993])).
% 33.78/22.42 tff(11996,plain,
% 33.78/22.42 (v115(constB79)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11995, 520, 11992])).
% 33.78/22.42 tff(11997,plain,
% 33.78/22.42 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB79) | (~v115(constB79)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB79) | (~v115(constB79)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(11998,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB79) | (~v115(constB79)))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(11999,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB79) | (~v115(constB79))),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[11998, 11997])).
% 33.78/22.42 tff(12000,plain,
% 33.78/22.42 (v114(constB79)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[11999, 531, 11996])).
% 33.78/22.42 tff(12001,plain,
% 33.78/22.42 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB79) | (~v114(constB79)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB79) | (~v114(constB79)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(12002,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB79) | (~v114(constB79)))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(12003,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB79) | (~v114(constB79))),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[12002, 12001])).
% 33.78/22.42 tff(12004,plain,
% 33.78/22.42 (v113(constB79)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[12003, 542, 12000])).
% 33.78/22.42 tff(12005,assumption,(v26(constB79)), introduced(assumption)).
% 33.78/22.42 tff(12006,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB79))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(12007,plain,
% 33.78/22.42 ($false),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[12006, 120, 12005])).
% 33.78/22.42 tff(12008,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 33.78/22.42 tff(12009,plain,
% 33.78/22.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | v112(constB79) | (~v113(constB79)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(12010,plain,
% 33.78/22.42 ((v26(constB79) | (~v113(constB79)) | v112(constB79)) <=> (v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(12011,plain,
% 33.78/22.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | v112(constB79) | (~v113(constB79))))),
% 33.78/22.42 inference(monotonicity,[status(thm)],[12010])).
% 33.78/22.42 tff(12012,plain,
% 33.78/22.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 33.78/22.42 inference(transitivity,[status(thm)],[12011, 12009])).
% 33.78/22.42 tff(12013,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(12014,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79))),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[12013, 12012])).
% 33.78/22.42 tff(12015,plain,
% 33.78/22.42 (v112(constB79) | (~v113(constB79))),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[12014, 556, 12008])).
% 33.78/22.42 tff(12016,plain,
% 33.78/22.42 (v112(constB79)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[12015, 12004])).
% 33.78/22.42 tff(12017,plain,
% 33.78/22.42 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB79) | (~v112(constB79)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(12018,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB79) | (~v112(constB79)))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(12019,plain,
% 33.78/22.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB79) | (~v112(constB79))),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[12018, 12017])).
% 33.78/22.42 tff(12020,plain,
% 33.78/22.42 (v108(constB79)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[12019, 568, 12016])).
% 33.78/22.42 tff(12021,plain,
% 33.78/22.42 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(12022,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 33.78/22.42 tff(12023,plain,
% 33.78/22.42 (nextState(constB79, constB80)),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[12022, 12021])).
% 33.78/22.42 tff(12024,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(12025,plain,
% 33.78/22.42 (((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80)) <=> ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(12026,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))))),
% 33.78/22.42 inference(monotonicity,[status(thm)],[12025])).
% 33.78/22.42 tff(12027,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 33.78/22.42 inference(transitivity,[status(thm)],[12026, 12024])).
% 33.78/22.42 tff(12028,plain,
% 33.78/22.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(12029,plain,
% 33.78/22.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[12028, 12027])).
% 33.78/22.42 tff(12030,plain,
% 33.78/22.42 (v110(constB80) | (~v108(constB79))),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[12029, 585, 12023])).
% 33.78/22.42 tff(12031,plain,
% 33.78/22.42 (v110(constB80)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[12030, 12020])).
% 33.78/22.42 tff(12032,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(12033,plain,
% 33.78/22.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(12034,plain,
% 33.78/22.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80))),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[12033, 12032])).
% 33.78/22.42 tff(12035,plain,
% 33.78/22.42 (~v104(constB80)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[12034, 603, 12023, 11898])).
% 33.78/22.42 tff(12036,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(12037,plain,
% 33.78/22.42 (((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80)) <=> ((~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(12038,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | v102(constB80)))),
% 33.78/22.42 inference(monotonicity,[status(thm)],[12037])).
% 33.78/22.42 tff(12039,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))),
% 33.78/22.42 inference(transitivity,[status(thm)],[12038, 12036])).
% 33.78/22.42 tff(12040,plain,
% 33.78/22.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 33.78/22.42 inference(quant_inst,[status(thm)],[])).
% 33.78/22.42 tff(12041,plain,
% 33.78/22.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | v102(constB80)),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[12040, 12039])).
% 33.78/22.42 tff(12042,plain,
% 33.78/22.42 (v104(constB80) | v102(constB80)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[12041, 617, 12023])).
% 33.78/22.42 tff(12043,plain,
% 33.78/22.42 (v102(constB80)),
% 33.78/22.42 inference(unit_resolution,[status(thm)],[12042, 12035])).
% 33.78/22.42 tff(12044,plain,
% 33.78/22.42 (v1(constB80) <=> v1(constB80)),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(12045,axiom,(v1(constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 33.78/22.42 tff(12046,plain,
% 33.78/22.42 (v1(constB80)),
% 33.78/22.42 inference(modus_ponens,[status(thm)],[12045, 12044])).
% 33.78/22.42 tff(12047,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(12048,plain,
% 33.78/22.42 (((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80))) <=> ((~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))),
% 33.78/22.42 inference(rewrite,[status(thm)],[])).
% 33.78/22.42 tff(12049,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80))))),
% 33.78/22.42 inference(monotonicity,[status(thm)],[12048])).
% 33.78/22.42 tff(12050,plain,
% 33.78/22.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))),
% 33.78/22.43 inference(transitivity,[status(thm)],[12049, 12047])).
% 33.78/22.43 tff(12051,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12052,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80))),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12051, 12050])).
% 33.78/22.43 tff(12053,plain,
% 33.78/22.43 (v101(constB80) | (~v102(constB80))),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12052, 638, 12023, 12046])).
% 33.78/22.43 tff(12054,plain,
% 33.78/22.43 (v101(constB80)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12053, 12043])).
% 33.78/22.43 tff(12055,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12056,plain,
% 33.78/22.43 (((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80)) <=> ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12057,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))))),
% 33.78/22.43 inference(monotonicity,[status(thm)],[12056])).
% 33.78/22.43 tff(12058,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 33.78/22.43 inference(transitivity,[status(thm)],[12057, 12055])).
% 33.78/22.43 tff(12059,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12060,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12059, 12058])).
% 33.78/22.43 tff(12061,plain,
% 33.78/22.43 (v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12060, 656, 12023])).
% 33.78/22.43 tff(12062,plain,
% 33.78/22.43 (v100(constB80) | (~v110(constB80))),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12061, 12054])).
% 33.78/22.43 tff(12063,plain,
% 33.78/22.43 (v100(constB80)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12062, 12031])).
% 33.78/22.43 tff(12064,plain,
% 33.78/22.43 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB79)) | v130(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB79)) | v130(constB79, bitIndex2))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12065,plain,
% 33.78/22.43 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB79)) | v130(constB79, bitIndex2))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12066,plain,
% 33.78/22.43 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB79)) | v130(constB79, bitIndex2)),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12065, 12064])).
% 33.78/22.43 tff(12067,plain,
% 33.78/22.43 (v130(constB79, bitIndex2)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12066, 1578, 11988])).
% 33.78/22.43 tff(12068,plain,
% 33.78/22.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12069,plain,
% 33.78/22.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12070,plain,
% 33.78/22.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2)),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12069, 12068])).
% 33.78/22.43 tff(12071,plain,
% 33.78/22.43 ((~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12070, 1592, 12008])).
% 33.78/22.43 tff(12072,plain,
% 33.78/22.43 (v127(constB79, bitIndex2)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12071, 12067])).
% 33.78/22.43 tff(12073,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12074,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12075,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2)),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12074, 12073])).
% 33.78/22.43 tff(12076,plain,
% 33.78/22.43 ((~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12075, 1607, 12023])).
% 33.78/22.43 tff(12077,plain,
% 33.78/22.43 (v129(constB80, bitIndex2)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12076, 12072])).
% 33.78/22.43 tff(12078,plain,
% 33.78/22.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12079,plain,
% 33.78/22.43 ((v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2))) <=> (v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12080,plain,
% 33.78/22.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80))))),
% 33.78/22.43 inference(monotonicity,[status(thm)],[12079])).
% 33.78/22.43 tff(12081,plain,
% 33.78/22.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))),
% 33.78/22.43 inference(transitivity,[status(thm)],[12080, 12078])).
% 33.78/22.43 tff(12082,plain,
% 33.78/22.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2)))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12083,plain,
% 33.78/22.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80))),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12082, 12081])).
% 33.78/22.43 tff(12084,plain,
% 33.78/22.43 (v90(constB80, bitIndex2) | (~v100(constB80))),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12083, 1622, 12077])).
% 33.78/22.43 tff(12085,plain,
% 33.78/22.43 (v90(constB80, bitIndex2)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12084, 12063])).
% 33.78/22.43 tff(12086,plain,
% 33.78/22.43 ((~v1(constB81)) <=> (~v1(constB81))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12087,axiom,(~v1(constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 33.78/22.43 tff(12088,plain,
% 33.78/22.43 (~v1(constB81)),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12087, 12086])).
% 33.78/22.43 tff(12089,plain,
% 33.78/22.43 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12090,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 33.78/22.43 tff(12091,plain,
% 33.78/22.43 (nextState(constB80, constB81)),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12090, 12089])).
% 33.78/22.43 tff(12092,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12093,plain,
% 33.78/22.43 (((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12094,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))))),
% 33.78/22.43 inference(monotonicity,[status(thm)],[12093])).
% 33.78/22.43 tff(12095,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 33.78/22.43 inference(transitivity,[status(thm)],[12094, 12092])).
% 33.78/22.43 tff(12096,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12097,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12096, 12095])).
% 33.78/22.43 tff(12098,plain,
% 33.78/22.43 (~v101(constB81)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12097, 381, 12091, 12088])).
% 33.78/22.43 tff(12099,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12100,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12101,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81))),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12100, 12099])).
% 33.78/22.43 tff(12102,plain,
% 33.78/22.43 (v101(constB81) | (~v100(constB81))),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12101, 398, 12091])).
% 33.78/22.43 tff(12103,plain,
% 33.78/22.43 (~v100(constB81)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12102, 12098])).
% 33.78/22.43 tff(12104,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12105,plain,
% 33.78/22.43 (((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2)) <=> ((~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12106,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2)))),
% 33.78/22.43 inference(monotonicity,[status(thm)],[12105])).
% 33.78/22.43 tff(12107,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))),
% 33.78/22.43 inference(transitivity,[status(thm)],[12106, 12104])).
% 33.78/22.43 tff(12108,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12109,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2)),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12108, 12107])).
% 33.78/22.43 tff(12110,plain,
% 33.78/22.43 ((~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12109, 1658, 12091])).
% 33.78/22.43 tff(12111,plain,
% 33.78/22.43 ((~v90(constB80, bitIndex2)) | v90(constB81, bitIndex2)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12110, 12103])).
% 33.78/22.43 tff(12112,plain,
% 33.78/22.43 (v90(constB81, bitIndex2)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12111, 12085])).
% 33.78/22.43 tff(12113,plain,
% 33.78/22.43 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB79)) | (~v130(constB79, bitIndex1)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12114,plain,
% 33.78/22.43 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex1)))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12115,plain,
% 33.78/22.43 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB79)) | (~v130(constB79, bitIndex1))),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12114, 12113])).
% 33.78/22.43 tff(12116,plain,
% 33.78/22.43 (~v130(constB79, bitIndex1)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12115, 1677, 11988])).
% 33.78/22.43 tff(12117,plain,
% 33.78/22.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12118,plain,
% 33.78/22.43 ((v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1))) <=> ((~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12119,plain,
% 33.78/22.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1)))),
% 33.78/22.43 inference(monotonicity,[status(thm)],[12118])).
% 33.78/22.43 tff(12120,plain,
% 33.78/22.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))),
% 33.78/22.43 inference(transitivity,[status(thm)],[12119, 12117])).
% 33.78/22.43 tff(12121,plain,
% 33.78/22.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1)))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12122,plain,
% 33.78/22.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1)),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12121, 12120])).
% 33.78/22.43 tff(12123,plain,
% 33.78/22.43 ((~v127(constB79, bitIndex1)) | v130(constB79, bitIndex1)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12122, 781, 12008])).
% 33.78/22.43 tff(12124,plain,
% 33.78/22.43 (~v127(constB79, bitIndex1)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12123, 12116])).
% 33.78/22.43 tff(12125,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12126,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1)))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12127,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1))),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12126, 12125])).
% 33.78/22.43 tff(12128,plain,
% 33.78/22.43 (v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1))),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12127, 799, 12023])).
% 33.78/22.43 tff(12129,plain,
% 33.78/22.43 (~v129(constB80, bitIndex1)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12128, 12124])).
% 33.78/22.43 tff(12130,plain,
% 33.78/22.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12131,plain,
% 33.78/22.43 (((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1)) <=> ((~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12132,plain,
% 33.78/22.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80))))),
% 33.78/22.43 inference(monotonicity,[status(thm)],[12131])).
% 33.78/22.43 tff(12133,plain,
% 33.78/22.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))),
% 33.78/22.43 inference(transitivity,[status(thm)],[12132, 12130])).
% 33.78/22.43 tff(12134,plain,
% 33.78/22.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12135,plain,
% 33.78/22.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80))),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12134, 12133])).
% 33.78/22.43 tff(12136,plain,
% 33.78/22.43 ((~v90(constB80, bitIndex1)) | (~v100(constB80))),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12135, 814, 12129])).
% 33.78/22.43 tff(12137,plain,
% 33.78/22.43 (~v90(constB80, bitIndex1)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12136, 12063])).
% 33.78/22.43 tff(12138,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12139,plain,
% 33.78/22.43 (((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1))) <=> (v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12140,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1))))),
% 33.78/22.43 inference(monotonicity,[status(thm)],[12139])).
% 33.78/22.43 tff(12141,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 33.78/22.43 inference(transitivity,[status(thm)],[12140, 12138])).
% 33.78/22.43 tff(12142,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12143,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1))),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12142, 12141])).
% 33.78/22.43 tff(12144,plain,
% 33.78/22.43 (v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1))),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12143, 434, 12091])).
% 33.78/22.43 tff(12145,plain,
% 33.78/22.43 (v90(constB80, bitIndex1) | (~v90(constB81, bitIndex1))),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12144, 12103])).
% 33.78/22.43 tff(12146,plain,
% 33.78/22.43 (~v90(constB81, bitIndex1)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12145, 12137])).
% 33.78/22.43 tff(12147,plain,
% 33.78/22.43 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB79)) | (~v130(constB79, bitIndex0)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12148,plain,
% 33.78/22.43 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex0)))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12149,plain,
% 33.78/22.43 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB79)) | (~v130(constB79, bitIndex0))),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12148, 12147])).
% 33.78/22.43 tff(12150,plain,
% 33.78/22.43 (~v130(constB79, bitIndex0)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12149, 1721, 11988])).
% 33.78/22.43 tff(12151,plain,
% 33.78/22.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12152,plain,
% 33.78/22.43 ((v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0))) <=> ((~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12153,plain,
% 33.78/22.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0)))),
% 33.78/22.43 inference(monotonicity,[status(thm)],[12152])).
% 33.78/22.43 tff(12154,plain,
% 33.78/22.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))),
% 33.78/22.43 inference(transitivity,[status(thm)],[12153, 12151])).
% 33.78/22.43 tff(12155,plain,
% 33.78/22.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0)))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12156,plain,
% 33.78/22.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0)),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12155, 12154])).
% 33.78/22.43 tff(12157,plain,
% 33.78/22.43 ((~v127(constB79, bitIndex0)) | v130(constB79, bitIndex0)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12156, 1182, 12008])).
% 33.78/22.43 tff(12158,plain,
% 33.78/22.43 (~v127(constB79, bitIndex0)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12157, 12150])).
% 33.78/22.43 tff(12159,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12160,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0)))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12161,plain,
% 33.78/22.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0))),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12160, 12159])).
% 33.78/22.43 tff(12162,plain,
% 33.78/22.43 (v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0))),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12161, 1200, 12023])).
% 33.78/22.43 tff(12163,plain,
% 33.78/22.43 (~v129(constB80, bitIndex0)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12162, 12158])).
% 33.78/22.43 tff(12164,plain,
% 33.78/22.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12165,plain,
% 33.78/22.43 (((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0)) <=> ((~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))),
% 33.78/22.43 inference(rewrite,[status(thm)],[])).
% 33.78/22.43 tff(12166,plain,
% 33.78/22.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80))))),
% 33.78/22.43 inference(monotonicity,[status(thm)],[12165])).
% 33.78/22.43 tff(12167,plain,
% 33.78/22.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))),
% 33.78/22.43 inference(transitivity,[status(thm)],[12166, 12164])).
% 33.78/22.43 tff(12168,plain,
% 33.78/22.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0))),
% 33.78/22.43 inference(quant_inst,[status(thm)],[])).
% 33.78/22.43 tff(12169,plain,
% 33.78/22.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80))),
% 33.78/22.43 inference(modus_ponens,[status(thm)],[12168, 12167])).
% 33.78/22.43 tff(12170,plain,
% 33.78/22.43 ((~v90(constB80, bitIndex0)) | (~v100(constB80))),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12169, 1215, 12163])).
% 33.78/22.43 tff(12171,plain,
% 33.78/22.43 (~v90(constB80, bitIndex0)),
% 33.78/22.43 inference(unit_resolution,[status(thm)],[12170, 12063])).
% 33.78/22.43 tff(12172,plain,
% 33.78/22.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12173,plain,
% 33.78/22.44 (((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0))) <=> (v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12174,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0))))),
% 33.78/22.44 inference(monotonicity,[status(thm)],[12173])).
% 33.78/22.44 tff(12175,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 33.78/22.44 inference(transitivity,[status(thm)],[12174, 12172])).
% 33.78/22.44 tff(12176,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12177,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0))),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12176, 12175])).
% 33.78/22.44 tff(12178,plain,
% 33.78/22.44 (v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0))),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12177, 455, 12091])).
% 33.78/22.44 tff(12179,plain,
% 33.78/22.44 (v90(constB80, bitIndex0) | (~v90(constB81, bitIndex0))),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12178, 12103])).
% 33.78/22.44 tff(12180,plain,
% 33.78/22.44 (~v90(constB81, bitIndex0)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12179, 12171])).
% 33.78/22.44 tff(12181,plain,
% 33.78/22.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12182,plain,
% 33.78/22.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12183,plain,
% 33.78/22.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81)),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12182, 12181])).
% 33.78/22.44 tff(12184,plain,
% 33.78/22.44 (v123(constB81)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12183, 1765, 12180, 12146, 12112])).
% 33.78/22.44 tff(12185,assumption,(v123(constB81)), introduced(assumption)).
% 33.78/22.44 tff(12186,plain,
% 33.78/22.44 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB81) | (~v123(constB81)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB81) | (~v123(constB81)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12187,plain,
% 33.78/22.44 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB81) | (~v123(constB81)))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12188,plain,
% 33.78/22.44 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB81) | (~v123(constB81))),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12187, 12186])).
% 33.78/22.44 tff(12189,plain,
% 33.78/22.44 (v115(constB81)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12188, 1776, 12185])).
% 33.78/22.44 tff(12190,plain,
% 33.78/22.44 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB81) | (~v115(constB81)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB81) | (~v115(constB81)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12191,plain,
% 33.78/22.44 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB81) | (~v115(constB81)))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12192,plain,
% 33.78/22.44 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB81) | (~v115(constB81))),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12191, 12190])).
% 33.78/22.44 tff(12193,plain,
% 33.78/22.44 (v114(constB81)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12192, 531, 12189])).
% 33.78/22.44 tff(12194,plain,
% 33.78/22.44 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB81) | (~v114(constB81)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB81) | (~v114(constB81)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12195,plain,
% 33.78/22.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB81) | (~v114(constB81)))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12196,plain,
% 33.78/22.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB81) | (~v114(constB81))),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12195, 12194])).
% 33.78/22.44 tff(12197,plain,
% 33.78/22.44 (v113(constB81)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12196, 542, 12193])).
% 33.78/22.44 tff(12198,assumption,(v26(constB81)), introduced(assumption)).
% 33.78/22.44 tff(12199,plain,
% 33.78/22.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB81))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12200,plain,
% 33.78/22.44 ($false),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12199, 120, 12198])).
% 33.78/22.44 tff(12201,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 33.78/22.44 tff(12202,plain,
% 33.78/22.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | v112(constB81) | (~v113(constB81)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | v112(constB81) | (~v113(constB81)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12203,plain,
% 33.78/22.44 ((v26(constB81) | (~v113(constB81)) | v112(constB81)) <=> (v26(constB81) | v112(constB81) | (~v113(constB81)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12204,plain,
% 33.78/22.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | v112(constB81) | (~v113(constB81))))),
% 33.78/22.44 inference(monotonicity,[status(thm)],[12203])).
% 33.78/22.44 tff(12205,plain,
% 33.78/22.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | v112(constB81) | (~v113(constB81)))),
% 33.78/22.44 inference(transitivity,[status(thm)],[12204, 12202])).
% 33.78/22.44 tff(12206,plain,
% 33.78/22.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12207,plain,
% 33.78/22.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | v112(constB81) | (~v113(constB81))),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12206, 12205])).
% 33.78/22.44 tff(12208,plain,
% 33.78/22.44 (v112(constB81) | (~v113(constB81))),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12207, 556, 12201])).
% 33.78/22.44 tff(12209,plain,
% 33.78/22.44 (v112(constB81)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12208, 12197])).
% 33.78/22.44 tff(12210,plain,
% 33.78/22.44 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB81) | (~v112(constB81)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB81) | (~v112(constB81)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12211,plain,
% 33.78/22.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB81) | (~v112(constB81)))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12212,plain,
% 33.78/22.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB81) | (~v112(constB81))),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12211, 12210])).
% 33.78/22.44 tff(12213,plain,
% 33.78/22.44 (v108(constB81)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12212, 568, 12209])).
% 33.78/22.44 tff(12214,plain,
% 33.78/22.44 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12215,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 33.78/22.44 tff(12216,plain,
% 33.78/22.44 (nextState(constB81, constB82)),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12215, 12214])).
% 33.78/22.44 tff(12217,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12218,plain,
% 33.78/22.44 (((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82)) <=> ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12219,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))))),
% 33.78/22.44 inference(monotonicity,[status(thm)],[12218])).
% 33.78/22.44 tff(12220,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 33.78/22.44 inference(transitivity,[status(thm)],[12219, 12217])).
% 33.78/22.44 tff(12221,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12222,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12221, 12220])).
% 33.78/22.44 tff(12223,plain,
% 33.78/22.44 (v110(constB82) | (~v108(constB81))),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12222, 585, 12216])).
% 33.78/22.44 tff(12224,plain,
% 33.78/22.44 (v110(constB82)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12223, 12213])).
% 33.78/22.44 tff(12225,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12226,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12227,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82))),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12226, 12225])).
% 33.78/22.44 tff(12228,plain,
% 33.78/22.44 (~v104(constB82)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12227, 603, 12216, 12088])).
% 33.78/22.44 tff(12229,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12230,plain,
% 33.78/22.44 (((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82)) <=> ((~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12231,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | v102(constB82)))),
% 33.78/22.44 inference(monotonicity,[status(thm)],[12230])).
% 33.78/22.44 tff(12232,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))),
% 33.78/22.44 inference(transitivity,[status(thm)],[12231, 12229])).
% 33.78/22.44 tff(12233,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12234,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | v102(constB82)),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12233, 12232])).
% 33.78/22.44 tff(12235,plain,
% 33.78/22.44 (v104(constB82) | v102(constB82)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12234, 617, 12216])).
% 33.78/22.44 tff(12236,plain,
% 33.78/22.44 (v102(constB82)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12235, 12228])).
% 33.78/22.44 tff(12237,plain,
% 33.78/22.44 (v1(constB82) <=> v1(constB82)),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12238,axiom,(v1(constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 33.78/22.44 tff(12239,plain,
% 33.78/22.44 (v1(constB82)),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12238, 12237])).
% 33.78/22.44 tff(12240,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12241,plain,
% 33.78/22.44 (((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82))) <=> ((~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12242,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82))))),
% 33.78/22.44 inference(monotonicity,[status(thm)],[12241])).
% 33.78/22.44 tff(12243,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))),
% 33.78/22.44 inference(transitivity,[status(thm)],[12242, 12240])).
% 33.78/22.44 tff(12244,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12245,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82))),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12244, 12243])).
% 33.78/22.44 tff(12246,plain,
% 33.78/22.44 (v101(constB82) | (~v102(constB82))),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12245, 638, 12216, 12239])).
% 33.78/22.44 tff(12247,plain,
% 33.78/22.44 (v101(constB82)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12246, 12236])).
% 33.78/22.44 tff(12248,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12249,plain,
% 33.78/22.44 (((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82)) <=> ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12250,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))))),
% 33.78/22.44 inference(monotonicity,[status(thm)],[12249])).
% 33.78/22.44 tff(12251,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 33.78/22.44 inference(transitivity,[status(thm)],[12250, 12248])).
% 33.78/22.44 tff(12252,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12253,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12252, 12251])).
% 33.78/22.44 tff(12254,plain,
% 33.78/22.44 (v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12253, 656, 12216])).
% 33.78/22.44 tff(12255,plain,
% 33.78/22.44 (v100(constB82) | (~v110(constB82))),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12254, 12247])).
% 33.78/22.44 tff(12256,plain,
% 33.78/22.44 (v100(constB82)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12255, 12224])).
% 33.78/22.44 tff(12257,plain,
% 33.78/22.44 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB81)) | v130(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB81)) | v130(constB81, bitIndex2))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12258,plain,
% 33.78/22.44 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB81)) | v130(constB81, bitIndex2))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12259,plain,
% 33.78/22.44 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB81)) | v130(constB81, bitIndex2)),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12258, 12257])).
% 33.78/22.44 tff(12260,plain,
% 33.78/22.44 (v130(constB81, bitIndex2)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12259, 1850, 12185])).
% 33.78/22.44 tff(12261,plain,
% 33.78/22.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12262,plain,
% 33.78/22.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12263,plain,
% 33.78/22.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12262, 12261])).
% 33.78/22.44 tff(12264,plain,
% 33.78/22.44 ((~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12263, 1592, 12201])).
% 33.78/22.44 tff(12265,plain,
% 33.78/22.44 (v127(constB81, bitIndex2)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12264, 12260])).
% 33.78/22.44 tff(12266,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12267,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12268,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12267, 12266])).
% 33.78/22.44 tff(12269,plain,
% 33.78/22.44 ((~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12268, 1607, 12216])).
% 33.78/22.44 tff(12270,plain,
% 33.78/22.44 (v129(constB82, bitIndex2)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12269, 12265])).
% 33.78/22.44 tff(12271,plain,
% 33.78/22.44 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12272,plain,
% 33.78/22.44 ((v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2))) <=> (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12273,plain,
% 33.78/22.44 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))))),
% 33.78/22.44 inference(monotonicity,[status(thm)],[12272])).
% 33.78/22.44 tff(12274,plain,
% 33.78/22.44 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 33.78/22.44 inference(transitivity,[status(thm)],[12273, 12271])).
% 33.78/22.44 tff(12275,plain,
% 33.78/22.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12276,plain,
% 33.78/22.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12275, 12274])).
% 33.78/22.44 tff(12277,plain,
% 33.78/22.44 (v90(constB82, bitIndex2) | (~v100(constB82))),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12276, 1622, 12270])).
% 33.78/22.44 tff(12278,plain,
% 33.78/22.44 (v90(constB82, bitIndex2)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12277, 12256])).
% 33.78/22.44 tff(12279,plain,
% 33.78/22.44 ((~v1(constB83)) <=> (~v1(constB83))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12280,axiom,(~v1(constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 33.78/22.44 tff(12281,plain,
% 33.78/22.44 (~v1(constB83)),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12280, 12279])).
% 33.78/22.44 tff(12282,plain,
% 33.78/22.44 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12283,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 33.78/22.44 tff(12284,plain,
% 33.78/22.44 (nextState(constB82, constB83)),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12283, 12282])).
% 33.78/22.44 tff(12285,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12286,plain,
% 33.78/22.44 (((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12287,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))))),
% 33.78/22.44 inference(monotonicity,[status(thm)],[12286])).
% 33.78/22.44 tff(12288,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 33.78/22.44 inference(transitivity,[status(thm)],[12287, 12285])).
% 33.78/22.44 tff(12289,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12290,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12289, 12288])).
% 33.78/22.44 tff(12291,plain,
% 33.78/22.44 (~v101(constB83)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12290, 381, 12284, 12281])).
% 33.78/22.44 tff(12292,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12293,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12294,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83))),
% 33.78/22.44 inference(modus_ponens,[status(thm)],[12293, 12292])).
% 33.78/22.44 tff(12295,plain,
% 33.78/22.44 (v101(constB83) | (~v100(constB83))),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12294, 398, 12284])).
% 33.78/22.44 tff(12296,plain,
% 33.78/22.44 (~v100(constB83)),
% 33.78/22.44 inference(unit_resolution,[status(thm)],[12295, 12291])).
% 33.78/22.44 tff(12297,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12298,plain,
% 33.78/22.44 (((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)) <=> ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 33.78/22.44 inference(rewrite,[status(thm)],[])).
% 33.78/22.44 tff(12299,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2)))),
% 33.78/22.44 inference(monotonicity,[status(thm)],[12298])).
% 33.78/22.44 tff(12300,plain,
% 33.78/22.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 33.78/22.44 inference(transitivity,[status(thm)],[12299, 12297])).
% 33.78/22.44 tff(12301,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))),
% 33.78/22.44 inference(quant_inst,[status(thm)],[])).
% 33.78/22.44 tff(12302,plain,
% 33.78/22.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2)),
% 33.78/22.45 inference(modus_ponens,[status(thm)],[12301, 12300])).
% 33.78/22.45 tff(12303,plain,
% 33.78/22.45 ((~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)),
% 33.78/22.45 inference(unit_resolution,[status(thm)],[12302, 1658, 12284])).
% 33.78/22.45 tff(12304,plain,
% 33.78/22.45 ((~v90(constB82, bitIndex2)) | v90(constB83, bitIndex2)),
% 33.78/22.45 inference(unit_resolution,[status(thm)],[12303, 12296])).
% 33.78/22.45 tff(12305,plain,
% 33.78/22.45 (v90(constB83, bitIndex2)),
% 33.78/22.45 inference(unit_resolution,[status(thm)],[12304, 12278])).
% 33.78/22.45 tff(12306,plain,
% 33.78/22.45 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB81)) | v130(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB81)) | v130(constB81, bitIndex0))),
% 33.78/22.45 inference(rewrite,[status(thm)],[])).
% 33.78/22.45 tff(12307,plain,
% 33.78/22.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB81)) | v130(constB81, bitIndex0))),
% 33.78/22.45 inference(quant_inst,[status(thm)],[])).
% 33.78/22.45 tff(12308,plain,
% 33.78/22.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB81)) | v130(constB81, bitIndex0)),
% 33.78/22.45 inference(modus_ponens,[status(thm)],[12307, 12306])).
% 33.78/22.45 tff(12309,plain,
% 33.78/22.45 (v130(constB81, bitIndex0)),
% 33.78/22.45 inference(unit_resolution,[status(thm)],[12308, 1953, 12185])).
% 33.78/22.45 tff(12310,plain,
% 33.78/22.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0))),
% 33.78/22.45 inference(rewrite,[status(thm)],[])).
% 33.78/22.45 tff(12311,plain,
% 33.78/22.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0))),
% 33.78/22.45 inference(quant_inst,[status(thm)],[])).
% 33.78/22.45 tff(12312,plain,
% 33.78/22.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0)),
% 33.78/22.45 inference(modus_ponens,[status(thm)],[12311, 12310])).
% 33.78/22.45 tff(12313,plain,
% 33.78/22.45 ((~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0)),
% 33.78/22.45 inference(unit_resolution,[status(thm)],[12312, 855, 12201])).
% 33.78/22.45 tff(12314,plain,
% 33.78/22.45 (v127(constB81, bitIndex0)),
% 33.78/22.45 inference(unit_resolution,[status(thm)],[12313, 12309])).
% 33.78/22.45 tff(12315,plain,
% 33.78/22.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0))),
% 33.78/22.45 inference(rewrite,[status(thm)],[])).
% 33.78/22.45 tff(12316,plain,
% 33.78/22.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0))),
% 33.78/22.45 inference(quant_inst,[status(thm)],[])).
% 33.78/22.45 tff(12317,plain,
% 33.78/22.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0)),
% 33.78/22.45 inference(modus_ponens,[status(thm)],[12316, 12315])).
% 33.78/22.45 tff(12318,plain,
% 33.78/22.45 ((~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0)),
% 33.78/22.45 inference(unit_resolution,[status(thm)],[12317, 870, 12216])).
% 33.78/22.45 tff(12319,plain,
% 33.78/22.45 (v129(constB82, bitIndex0)),
% 33.78/22.45 inference(unit_resolution,[status(thm)],[12318, 12314])).
% 33.78/22.45 tff(12320,plain,
% 33.78/22.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))),
% 33.78/22.45 inference(rewrite,[status(thm)],[])).
% 33.78/22.45 tff(12321,plain,
% 33.78/22.45 ((v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0))) <=> (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))),
% 33.78/22.45 inference(rewrite,[status(thm)],[])).
% 33.78/22.45 tff(12322,plain,
% 33.78/22.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82))))),
% 33.78/22.45 inference(monotonicity,[status(thm)],[12321])).
% 33.78/22.45 tff(12323,plain,
% 33.78/22.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))),
% 33.78/22.45 inference(transitivity,[status(thm)],[12322, 12320])).
% 33.78/22.45 tff(12324,plain,
% 33.78/22.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0)))),
% 33.78/22.45 inference(quant_inst,[status(thm)],[])).
% 33.78/22.45 tff(12325,plain,
% 33.78/22.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82))),
% 33.78/22.45 inference(modus_ponens,[status(thm)],[12324, 12323])).
% 33.78/22.45 tff(12326,plain,
% 33.78/22.45 (v90(constB82, bitIndex0) | (~v100(constB82))),
% 33.78/22.45 inference(unit_resolution,[status(thm)],[12325, 885, 12319])).
% 33.78/22.45 tff(12327,plain,
% 33.78/22.45 (v90(constB82, bitIndex0)),
% 33.78/22.45 inference(unit_resolution,[status(thm)],[12326, 12256])).
% 33.78/22.45 tff(12328,plain,
% 33.78/22.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))),
% 33.78/22.45 inference(rewrite,[status(thm)],[])).
% 33.78/22.45 tff(12329,plain,
% 33.78/22.45 (((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0)) <=> ((~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))),
% 33.78/22.45 inference(rewrite,[status(thm)],[])).
% 33.78/22.45 tff(12330,plain,
% 33.78/22.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0)))),
% 33.78/22.45 inference(monotonicity,[status(thm)],[12329])).
% 33.78/22.45 tff(12331,plain,
% 33.78/22.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))),
% 33.78/22.45 inference(transitivity,[status(thm)],[12330, 12328])).
% 33.78/22.45 tff(12332,plain,
% 33.78/22.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12333,plain,
% 33.86/22.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0)),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12332, 12331])).
% 33.86/22.45 tff(12334,plain,
% 33.86/22.45 ((~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12333, 903, 12284])).
% 33.86/22.45 tff(12335,plain,
% 33.86/22.45 ((~v90(constB82, bitIndex0)) | v90(constB83, bitIndex0)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12334, 12296])).
% 33.86/22.45 tff(12336,plain,
% 33.86/22.45 (v90(constB83, bitIndex0)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12335, 12327])).
% 33.86/22.45 tff(12337,plain,
% 33.86/22.45 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB81)) | (~v130(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB81)) | (~v130(constB81, bitIndex1)))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12338,plain,
% 33.86/22.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB81)) | (~v130(constB81, bitIndex1)))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12339,plain,
% 33.86/22.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB81)) | (~v130(constB81, bitIndex1))),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12338, 12337])).
% 33.86/22.45 tff(12340,plain,
% 33.86/22.45 (~v130(constB81, bitIndex1)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12339, 1909, 12185])).
% 33.86/22.45 tff(12341,plain,
% 33.86/22.45 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12342,plain,
% 33.86/22.45 ((v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1))) <=> ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12343,plain,
% 33.86/22.45 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)))),
% 33.86/22.45 inference(monotonicity,[status(thm)],[12342])).
% 33.86/22.45 tff(12344,plain,
% 33.86/22.45 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 33.86/22.45 inference(transitivity,[status(thm)],[12343, 12341])).
% 33.86/22.45 tff(12345,plain,
% 33.86/22.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12346,plain,
% 33.86/22.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12345, 12344])).
% 33.86/22.45 tff(12347,plain,
% 33.86/22.45 ((~v127(constB81, bitIndex1)) | v130(constB81, bitIndex1)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12346, 781, 12201])).
% 33.86/22.45 tff(12348,plain,
% 33.86/22.45 (~v127(constB81, bitIndex1)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12347, 12340])).
% 33.86/22.45 tff(12349,plain,
% 33.86/22.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12350,plain,
% 33.86/22.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12351,plain,
% 33.86/22.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12350, 12349])).
% 33.86/22.45 tff(12352,plain,
% 33.86/22.45 (v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12351, 799, 12216])).
% 33.86/22.45 tff(12353,plain,
% 33.86/22.45 (~v129(constB82, bitIndex1)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12352, 12348])).
% 33.86/22.45 tff(12354,plain,
% 33.86/22.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12355,plain,
% 33.86/22.45 (((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1)) <=> ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12356,plain,
% 33.86/22.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))))),
% 33.86/22.45 inference(monotonicity,[status(thm)],[12355])).
% 33.86/22.45 tff(12357,plain,
% 33.86/22.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 33.86/22.45 inference(transitivity,[status(thm)],[12356, 12354])).
% 33.86/22.45 tff(12358,plain,
% 33.86/22.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12359,plain,
% 33.86/22.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12358, 12357])).
% 33.86/22.45 tff(12360,plain,
% 33.86/22.45 ((~v90(constB82, bitIndex1)) | (~v100(constB82))),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12359, 814, 12353])).
% 33.86/22.45 tff(12361,plain,
% 33.86/22.45 (~v90(constB82, bitIndex1)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12360, 12256])).
% 33.86/22.45 tff(12362,plain,
% 33.86/22.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12363,plain,
% 33.86/22.45 (((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))) <=> (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12364,plain,
% 33.86/22.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1))))),
% 33.86/22.45 inference(monotonicity,[status(thm)],[12363])).
% 33.86/22.45 tff(12365,plain,
% 33.86/22.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 33.86/22.45 inference(transitivity,[status(thm)],[12364, 12362])).
% 33.86/22.45 tff(12366,plain,
% 33.86/22.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12367,plain,
% 33.86/22.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12366, 12365])).
% 33.86/22.45 tff(12368,plain,
% 33.86/22.45 (v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12367, 434, 12284])).
% 33.86/22.45 tff(12369,plain,
% 33.86/22.45 (v90(constB82, bitIndex1) | (~v90(constB83, bitIndex1))),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12368, 12296])).
% 33.86/22.45 tff(12370,plain,
% 33.86/22.45 (~v90(constB83, bitIndex1)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12369, 12361])).
% 33.86/22.45 tff(12371,assumption,(~v124(constB83)), introduced(assumption)).
% 33.86/22.45 tff(12372,plain,
% 33.86/22.45 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12373,plain,
% 33.86/22.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12374,plain,
% 33.86/22.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83)),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12373, 12372])).
% 33.86/22.45 tff(12375,plain,
% 33.86/22.45 ((~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2))),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12374, 1994, 12371])).
% 33.86/22.45 tff(12376,plain,
% 33.86/22.45 ($false),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12375, 12370, 12336, 12305])).
% 33.86/22.45 tff(12377,plain,((~v123(constB81)) | v124(constB83)), inference(lemma,lemma(discharge,[]))).
% 33.86/22.45 tff(12378,plain,
% 33.86/22.45 (v124(constB83)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12377, 12184])).
% 33.86/22.45 tff(12379,assumption,(v124(constB83)), introduced(assumption)).
% 33.86/22.45 tff(12380,plain,
% 33.86/22.45 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB83) | (~v124(constB83)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB83) | (~v124(constB83)))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12381,plain,
% 33.86/22.45 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB83) | (~v124(constB83)))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12382,plain,
% 33.86/22.45 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB83) | (~v124(constB83))),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12381, 12380])).
% 33.86/22.45 tff(12383,plain,
% 33.86/22.45 (v114(constB83)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12382, 2005, 12379])).
% 33.86/22.45 tff(12384,plain,
% 33.86/22.45 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB83) | (~v114(constB83)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB83) | (~v114(constB83)))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12385,plain,
% 33.86/22.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB83) | (~v114(constB83)))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12386,plain,
% 33.86/22.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB83) | (~v114(constB83))),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12385, 12384])).
% 33.86/22.45 tff(12387,plain,
% 33.86/22.45 (v113(constB83)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12386, 542, 12383])).
% 33.86/22.45 tff(12388,plain,
% 33.86/22.45 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB83)) | (~v130(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB83)) | (~v130(constB83, bitIndex0)))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12389,plain,
% 33.86/22.45 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB83)) | (~v130(constB83, bitIndex0)))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12390,plain,
% 33.86/22.45 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB83)) | (~v130(constB83, bitIndex0))),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12389, 12388])).
% 33.86/22.45 tff(12391,plain,
% 33.86/22.45 (~v130(constB83, bitIndex0)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12390, 2277, 12379])).
% 33.86/22.45 tff(12392,assumption,(v26(constB83)), introduced(assumption)).
% 33.86/22.45 tff(12393,plain,
% 33.86/22.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB83))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12394,plain,
% 33.86/22.45 ($false),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12393, 120, 12392])).
% 33.86/22.45 tff(12395,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 33.86/22.45 tff(12396,plain,
% 33.86/22.45 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12397,plain,
% 33.86/22.45 ((v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0))) <=> ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12398,plain,
% 33.86/22.45 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)))),
% 33.86/22.45 inference(monotonicity,[status(thm)],[12397])).
% 33.86/22.45 tff(12399,plain,
% 33.86/22.45 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 33.86/22.45 inference(transitivity,[status(thm)],[12398, 12396])).
% 33.86/22.45 tff(12400,plain,
% 33.86/22.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12401,plain,
% 33.86/22.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12400, 12399])).
% 33.86/22.45 tff(12402,plain,
% 33.86/22.45 ((~v127(constB83, bitIndex0)) | v130(constB83, bitIndex0)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12401, 1182, 12395])).
% 33.86/22.45 tff(12403,plain,
% 33.86/22.45 (~v127(constB83, bitIndex0)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12402, 12391])).
% 33.86/22.45 tff(12404,plain,
% 33.86/22.45 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12405,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 33.86/22.45 tff(12406,plain,
% 33.86/22.45 (nextState(constB83, constB84)),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12405, 12404])).
% 33.86/22.45 tff(12407,plain,
% 33.86/22.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12408,plain,
% 33.86/22.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12409,plain,
% 33.86/22.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12408, 12407])).
% 33.86/22.45 tff(12410,plain,
% 33.86/22.45 (v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12409, 1200, 12406])).
% 33.86/22.45 tff(12411,plain,
% 33.86/22.45 (~v129(constB84, bitIndex0)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12410, 12403])).
% 33.86/22.45 tff(12412,assumption,(v90(constB84, bitIndex0)), introduced(assumption)).
% 33.86/22.45 tff(12413,plain,
% 33.86/22.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12414,plain,
% 33.86/22.45 (((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0)) <=> ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12415,plain,
% 33.86/22.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))))),
% 33.86/22.45 inference(monotonicity,[status(thm)],[12414])).
% 33.86/22.45 tff(12416,plain,
% 33.86/22.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 33.86/22.45 inference(transitivity,[status(thm)],[12415, 12413])).
% 33.86/22.45 tff(12417,plain,
% 33.86/22.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12418,plain,
% 33.86/22.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12417, 12416])).
% 33.86/22.45 tff(12419,plain,
% 33.86/22.45 (v129(constB84, bitIndex0) | (~v100(constB84))),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12418, 1215, 12412])).
% 33.86/22.45 tff(12420,plain,
% 33.86/22.45 (~v100(constB84)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12419, 12411])).
% 33.86/22.45 tff(12421,plain,
% 33.86/22.45 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12422,plain,
% 33.86/22.45 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12423,plain,
% 33.86/22.45 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84))),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12422, 12421])).
% 33.86/22.45 tff(12424,plain,
% 33.86/22.45 (~v104(constB84)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12423, 603, 12406, 12281])).
% 33.86/22.45 tff(12425,plain,
% 33.86/22.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12426,plain,
% 33.86/22.45 (((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84)) <=> ((~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))),
% 33.86/22.45 inference(rewrite,[status(thm)],[])).
% 33.86/22.45 tff(12427,plain,
% 33.86/22.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | v102(constB84)))),
% 33.86/22.45 inference(monotonicity,[status(thm)],[12426])).
% 33.86/22.45 tff(12428,plain,
% 33.86/22.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))),
% 33.86/22.45 inference(transitivity,[status(thm)],[12427, 12425])).
% 33.86/22.45 tff(12429,plain,
% 33.86/22.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 33.86/22.45 inference(quant_inst,[status(thm)],[])).
% 33.86/22.45 tff(12430,plain,
% 33.86/22.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | v102(constB84)),
% 33.86/22.45 inference(modus_ponens,[status(thm)],[12429, 12428])).
% 33.86/22.45 tff(12431,plain,
% 33.86/22.45 (v104(constB84) | v102(constB84)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12430, 617, 12406])).
% 33.86/22.45 tff(12432,plain,
% 33.86/22.45 (v102(constB84)),
% 33.86/22.45 inference(unit_resolution,[status(thm)],[12431, 12424])).
% 33.86/22.45 tff(12433,plain,
% 33.86/22.45 (v1(constB84) <=> v1(constB84)),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12434,axiom,(v1(constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 33.86/22.46 tff(12435,plain,
% 33.86/22.46 (v1(constB84)),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12434, 12433])).
% 33.86/22.46 tff(12436,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12437,plain,
% 33.86/22.46 (((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84))) <=> ((~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12438,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84))))),
% 33.86/22.46 inference(monotonicity,[status(thm)],[12437])).
% 33.86/22.46 tff(12439,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))),
% 33.86/22.46 inference(transitivity,[status(thm)],[12438, 12436])).
% 33.86/22.46 tff(12440,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12441,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84))),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12440, 12439])).
% 33.86/22.46 tff(12442,plain,
% 33.86/22.46 (v101(constB84) | (~v102(constB84))),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12441, 638, 12406, 12435])).
% 33.86/22.46 tff(12443,plain,
% 33.86/22.46 (v101(constB84)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12442, 12432])).
% 33.86/22.46 tff(12444,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12445,plain,
% 33.86/22.46 (((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84)) <=> ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12446,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))))),
% 33.86/22.46 inference(monotonicity,[status(thm)],[12445])).
% 33.86/22.46 tff(12447,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 33.86/22.46 inference(transitivity,[status(thm)],[12446, 12444])).
% 33.86/22.46 tff(12448,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12449,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12448, 12447])).
% 33.86/22.46 tff(12450,plain,
% 33.86/22.46 (v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12449, 656, 12406])).
% 33.86/22.46 tff(12451,plain,
% 33.86/22.46 (v100(constB84) | (~v110(constB84))),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12450, 12443])).
% 33.86/22.46 tff(12452,plain,
% 33.86/22.46 (~v110(constB84)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12451, 12420])).
% 33.86/22.46 tff(12453,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12454,plain,
% 33.86/22.46 (((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84)) <=> ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12455,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))))),
% 33.86/22.46 inference(monotonicity,[status(thm)],[12454])).
% 33.86/22.46 tff(12456,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 33.86/22.46 inference(transitivity,[status(thm)],[12455, 12453])).
% 33.86/22.46 tff(12457,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12458,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12457, 12456])).
% 33.86/22.46 tff(12459,plain,
% 33.86/22.46 (v110(constB84) | (~v108(constB83))),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12458, 585, 12406])).
% 33.86/22.46 tff(12460,plain,
% 33.86/22.46 (~v108(constB83)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12459, 12452])).
% 33.86/22.46 tff(12461,plain,
% 33.86/22.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB83) | (~v112(constB83)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB83) | (~v112(constB83)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12462,plain,
% 33.86/22.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB83) | (~v112(constB83)))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12463,plain,
% 33.86/22.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB83) | (~v112(constB83))),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12462, 12461])).
% 33.86/22.46 tff(12464,plain,
% 33.86/22.46 (~v112(constB83)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12463, 568, 12460])).
% 33.86/22.46 tff(12465,plain,
% 33.86/22.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | v112(constB83) | (~v113(constB83)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12466,plain,
% 33.86/22.46 ((v26(constB83) | (~v113(constB83)) | v112(constB83)) <=> (v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12467,plain,
% 33.86/22.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | v112(constB83) | (~v113(constB83))))),
% 33.86/22.46 inference(monotonicity,[status(thm)],[12466])).
% 33.86/22.46 tff(12468,plain,
% 33.86/22.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 33.86/22.46 inference(transitivity,[status(thm)],[12467, 12465])).
% 33.86/22.46 tff(12469,plain,
% 33.86/22.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12470,plain,
% 33.86/22.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83))),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12469, 12468])).
% 33.86/22.46 tff(12471,plain,
% 33.86/22.46 (v112(constB83) | (~v113(constB83))),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12470, 556, 12395])).
% 33.86/22.46 tff(12472,plain,
% 33.86/22.46 ($false),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12471, 12464, 12387])).
% 33.86/22.46 tff(12473,plain,((~v124(constB83)) | (~v90(constB84, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 33.86/22.46 tff(12474,plain,
% 33.86/22.46 (~v90(constB84, bitIndex0)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12473, 12378])).
% 33.86/22.46 tff(12475,plain,
% 33.86/22.46 ((~v1(constB85)) <=> (~v1(constB85))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12476,axiom,(~v1(constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 33.86/22.46 tff(12477,plain,
% 33.86/22.46 (~v1(constB85)),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12476, 12475])).
% 33.86/22.46 tff(12478,plain,
% 33.86/22.46 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12479,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 33.86/22.46 tff(12480,plain,
% 33.86/22.46 (nextState(constB84, constB85)),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12479, 12478])).
% 33.86/22.46 tff(12481,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12482,plain,
% 33.86/22.46 (((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12483,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))))),
% 33.86/22.46 inference(monotonicity,[status(thm)],[12482])).
% 33.86/22.46 tff(12484,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 33.86/22.46 inference(transitivity,[status(thm)],[12483, 12481])).
% 33.86/22.46 tff(12485,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12486,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12485, 12484])).
% 33.86/22.46 tff(12487,plain,
% 33.86/22.46 (~v101(constB85)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12486, 381, 12480, 12477])).
% 33.86/22.46 tff(12488,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12489,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12490,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85))),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12489, 12488])).
% 33.86/22.46 tff(12491,plain,
% 33.86/22.46 (v101(constB85) | (~v100(constB85))),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12490, 398, 12480])).
% 33.86/22.46 tff(12492,plain,
% 33.86/22.46 (~v100(constB85)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12491, 12487])).
% 33.86/22.46 tff(12493,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12494,plain,
% 33.86/22.46 (((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))) <=> (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12495,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0))))),
% 33.86/22.46 inference(monotonicity,[status(thm)],[12494])).
% 33.86/22.46 tff(12496,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 33.86/22.46 inference(transitivity,[status(thm)],[12495, 12493])).
% 33.86/22.46 tff(12497,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12498,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12497, 12496])).
% 33.86/22.46 tff(12499,plain,
% 33.86/22.46 (v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12498, 455, 12480])).
% 33.86/22.46 tff(12500,plain,
% 33.86/22.46 (v90(constB84, bitIndex0) | (~v90(constB85, bitIndex0))),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12499, 12492])).
% 33.86/22.46 tff(12501,plain,
% 33.86/22.46 (~v90(constB85, bitIndex0)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12500, 12474])).
% 33.86/22.46 tff(12502,assumption,(~v100(constB88)), introduced(assumption)).
% 33.86/22.46 tff(12503,plain,
% 33.86/22.46 ((~v1(constB87)) <=> (~v1(constB87))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12504,axiom,(~v1(constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 33.86/22.46 tff(12505,plain,
% 33.86/22.46 (~v1(constB87)),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12504, 12503])).
% 33.86/22.46 tff(12506,plain,
% 33.86/22.46 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12507,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 33.86/22.46 tff(12508,plain,
% 33.86/22.46 (nextState(constB87, constB88)),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12507, 12506])).
% 33.86/22.46 tff(12509,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12510,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12511,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88))),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12510, 12509])).
% 33.86/22.46 tff(12512,plain,
% 33.86/22.46 (~v104(constB88)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12511, 603, 12508, 12505])).
% 33.86/22.46 tff(12513,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12514,plain,
% 33.86/22.46 (((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88)) <=> ((~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12515,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | v102(constB88)))),
% 33.86/22.46 inference(monotonicity,[status(thm)],[12514])).
% 33.86/22.46 tff(12516,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))),
% 33.86/22.46 inference(transitivity,[status(thm)],[12515, 12513])).
% 33.86/22.46 tff(12517,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12518,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | v102(constB88)),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12517, 12516])).
% 33.86/22.46 tff(12519,plain,
% 33.86/22.46 (v104(constB88) | v102(constB88)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12518, 617, 12508])).
% 33.86/22.46 tff(12520,plain,
% 33.86/22.46 (v102(constB88)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12519, 12512])).
% 33.86/22.46 tff(12521,plain,
% 33.86/22.46 (v1(constB88) <=> v1(constB88)),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12522,axiom,(v1(constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 33.86/22.46 tff(12523,plain,
% 33.86/22.46 (v1(constB88)),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12522, 12521])).
% 33.86/22.46 tff(12524,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12525,plain,
% 33.86/22.46 (((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88))) <=> ((~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12526,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88))))),
% 33.86/22.46 inference(monotonicity,[status(thm)],[12525])).
% 33.86/22.46 tff(12527,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))),
% 33.86/22.46 inference(transitivity,[status(thm)],[12526, 12524])).
% 33.86/22.46 tff(12528,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12529,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88))),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12528, 12527])).
% 33.86/22.46 tff(12530,plain,
% 33.86/22.46 (v101(constB88) | (~v102(constB88))),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12529, 638, 12508, 12523])).
% 33.86/22.46 tff(12531,plain,
% 33.86/22.46 (v101(constB88)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12530, 12520])).
% 33.86/22.46 tff(12532,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12533,plain,
% 33.86/22.46 (((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88)) <=> ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12534,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))))),
% 33.86/22.46 inference(monotonicity,[status(thm)],[12533])).
% 33.86/22.46 tff(12535,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 33.86/22.46 inference(transitivity,[status(thm)],[12534, 12532])).
% 33.86/22.46 tff(12536,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12537,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12536, 12535])).
% 33.86/22.46 tff(12538,plain,
% 33.86/22.46 (v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12537, 656, 12508])).
% 33.86/22.46 tff(12539,plain,
% 33.86/22.46 (v100(constB88) | (~v110(constB88))),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12538, 12531])).
% 33.86/22.46 tff(12540,plain,
% 33.86/22.46 (~v110(constB88)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12539, 12502])).
% 33.86/22.46 tff(12541,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12542,plain,
% 33.86/22.46 (((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88)) <=> ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12543,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))))),
% 33.86/22.46 inference(monotonicity,[status(thm)],[12542])).
% 33.86/22.46 tff(12544,plain,
% 33.86/22.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 33.86/22.46 inference(transitivity,[status(thm)],[12543, 12541])).
% 33.86/22.46 tff(12545,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12546,plain,
% 33.86/22.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12545, 12544])).
% 33.86/22.46 tff(12547,plain,
% 33.86/22.46 (v110(constB88) | (~v108(constB87))),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12546, 585, 12508])).
% 33.86/22.46 tff(12548,plain,
% 33.86/22.46 (~v108(constB87)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12547, 12540])).
% 33.86/22.46 tff(12549,plain,
% 33.86/22.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB87) | (~v112(constB87)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12550,plain,
% 33.86/22.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB87) | (~v112(constB87)))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12551,plain,
% 33.86/22.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB87) | (~v112(constB87))),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12550, 12549])).
% 33.86/22.46 tff(12552,plain,
% 33.86/22.46 (~v112(constB87)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12551, 568, 12548])).
% 33.86/22.46 tff(12553,assumption,(v26(constB87)), introduced(assumption)).
% 33.86/22.46 tff(12554,plain,
% 33.86/22.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB87))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12555,plain,
% 33.86/22.46 ($false),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12554, 120, 12553])).
% 33.86/22.46 tff(12556,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 33.86/22.46 tff(12557,plain,
% 33.86/22.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | v112(constB87) | (~v113(constB87)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12558,plain,
% 33.86/22.46 ((v26(constB87) | (~v113(constB87)) | v112(constB87)) <=> (v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12559,plain,
% 33.86/22.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | v112(constB87) | (~v113(constB87))))),
% 33.86/22.46 inference(monotonicity,[status(thm)],[12558])).
% 33.86/22.46 tff(12560,plain,
% 33.86/22.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 33.86/22.46 inference(transitivity,[status(thm)],[12559, 12557])).
% 33.86/22.46 tff(12561,plain,
% 33.86/22.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12562,plain,
% 33.86/22.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87))),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12561, 12560])).
% 33.86/22.46 tff(12563,plain,
% 33.86/22.46 (v112(constB87) | (~v113(constB87))),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12562, 556, 12556])).
% 33.86/22.46 tff(12564,plain,
% 33.86/22.46 (~v113(constB87)),
% 33.86/22.46 inference(unit_resolution,[status(thm)],[12563, 12552])).
% 33.86/22.46 tff(12565,plain,
% 33.86/22.46 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB87) | (~v114(constB87)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB87) | (~v114(constB87)))),
% 33.86/22.46 inference(rewrite,[status(thm)],[])).
% 33.86/22.46 tff(12566,plain,
% 33.86/22.46 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB87) | (~v114(constB87)))),
% 33.86/22.46 inference(quant_inst,[status(thm)],[])).
% 33.86/22.46 tff(12567,plain,
% 33.86/22.46 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB87) | (~v114(constB87))),
% 33.86/22.46 inference(modus_ponens,[status(thm)],[12566, 12565])).
% 33.86/22.47 tff(12568,plain,
% 33.86/22.47 (~v114(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12567, 542, 12564])).
% 33.86/22.47 tff(12569,plain,
% 33.86/22.47 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB87) | (~v115(constB87)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB87) | (~v115(constB87)))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12570,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB87) | (~v115(constB87)))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12571,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB87) | (~v115(constB87))),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12570, 12569])).
% 33.86/22.47 tff(12572,plain,
% 33.86/22.47 (~v115(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12571, 531, 12568])).
% 33.86/22.47 tff(12573,plain,
% 33.86/22.47 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB87) | (~v116(constB87)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB87) | (~v116(constB87)))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12574,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB87) | (~v116(constB87)))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12575,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB87) | (~v116(constB87))),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12574, 12573])).
% 33.86/22.47 tff(12576,plain,
% 33.86/22.47 (~v116(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12575, 520, 12572])).
% 33.86/22.47 tff(12577,plain,
% 33.86/22.47 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB87) | (~v117(constB87)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB87) | (~v117(constB87)))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12578,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB87) | (~v117(constB87)))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12579,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB87) | (~v117(constB87))),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12578, 12577])).
% 33.86/22.47 tff(12580,plain,
% 33.86/22.47 (~v117(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12579, 509, 12576])).
% 33.86/22.47 tff(12581,plain,
% 33.86/22.47 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB87) | (~v118(constB87)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB87) | (~v118(constB87)))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12582,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB87) | (~v118(constB87)))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12583,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB87) | (~v118(constB87))),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12582, 12581])).
% 33.86/22.47 tff(12584,plain,
% 33.86/22.47 (~v118(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12583, 498, 12580])).
% 33.86/22.47 tff(12585,plain,
% 33.86/22.47 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB87) | (~v119(constB87)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB87) | (~v119(constB87)))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12586,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB87) | (~v119(constB87)))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12587,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB87) | (~v119(constB87))),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12586, 12585])).
% 33.86/22.47 tff(12588,plain,
% 33.86/22.47 (~v119(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12587, 487, 12584])).
% 33.86/22.47 tff(12589,plain,
% 33.86/22.47 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB87) | (~v122(constB87)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB87) | (~v122(constB87)))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12590,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB87) | (~v122(constB87)))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12591,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB87) | (~v122(constB87))),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12590, 12589])).
% 33.86/22.47 tff(12592,plain,
% 33.86/22.47 (~v122(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12591, 1497, 12576])).
% 33.86/22.47 tff(12593,assumption,(~v90(constB88, bitIndex2)), introduced(assumption)).
% 33.86/22.47 tff(12594,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex2))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12595,plain,
% 33.86/22.47 (((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex2)) | v100(constB88) | v90(constB88, bitIndex2)) <=> ((~v90(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex2))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12596,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex2)) | v100(constB88) | v90(constB88, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex2)))),
% 33.86/22.47 inference(monotonicity,[status(thm)],[12595])).
% 33.86/22.47 tff(12597,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex2)) | v100(constB88) | v90(constB88, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex2))),
% 33.86/22.47 inference(transitivity,[status(thm)],[12596, 12594])).
% 33.86/22.47 tff(12598,plain,
% 33.86/22.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex2)) | v100(constB88) | v90(constB88, bitIndex2))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12599,plain,
% 33.86/22.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex2)),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12598, 12597])).
% 33.86/22.47 tff(12600,plain,
% 33.86/22.47 ((~v90(constB87, bitIndex2)) | v100(constB88) | v90(constB88, bitIndex2)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12599, 1658, 12508])).
% 33.86/22.47 tff(12601,plain,
% 33.86/22.47 (~v90(constB87, bitIndex2)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12600, 12502, 12593])).
% 33.86/22.47 tff(12602,assumption,(~v119(constB87)), introduced(assumption)).
% 33.86/22.47 tff(12603,plain,
% 33.86/22.47 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB87) | (~v121(constB87)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB87) | (~v121(constB87)))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12604,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB87) | (~v121(constB87)))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12605,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB87) | (~v121(constB87))),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12604, 12603])).
% 33.86/22.47 tff(12606,plain,
% 33.86/22.47 (~v121(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12605, 1253, 12580])).
% 33.86/22.47 tff(12607,assumption,(~v90(constB87, bitIndex2)), introduced(assumption)).
% 33.86/22.47 tff(12608,assumption,(~v121(constB87)), introduced(assumption)).
% 33.86/22.47 tff(12609,assumption,(~v90(constB87, bitIndex0)), introduced(assumption)).
% 33.86/22.47 tff(12610,plain,
% 33.86/22.47 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | v90(constB87, bitIndex2) | v121(constB87))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | v90(constB87, bitIndex2) | v121(constB87))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12611,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | v90(constB87, bitIndex2) | v121(constB87))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12612,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | v90(constB87, bitIndex2) | v121(constB87)),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12611, 12610])).
% 33.86/22.47 tff(12613,plain,
% 33.86/22.47 (v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | v90(constB87, bitIndex2)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12612, 1242, 12608])).
% 33.86/22.47 tff(12614,plain,
% 33.86/22.47 (~v90(constB87, bitIndex1)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12613, 12609, 12607])).
% 33.86/22.47 tff(12615,plain,
% 33.86/22.47 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB87) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB87) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12616,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB87) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12617,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB87) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2)),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12616, 12615])).
% 33.86/22.47 tff(12618,plain,
% 33.86/22.47 (v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12617, 476, 12602])).
% 33.86/22.47 tff(12619,plain,
% 33.86/22.47 ($false),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12618, 12614, 12609, 12607])).
% 33.86/22.47 tff(12620,plain,(v90(constB87, bitIndex0) | v90(constB87, bitIndex2) | v119(constB87) | v121(constB87)), inference(lemma,lemma(discharge,[]))).
% 33.86/22.47 tff(12621,plain,
% 33.86/22.47 (v90(constB87, bitIndex0)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12620, 12607, 12602, 12608])).
% 33.86/22.47 tff(12622,assumption,(~v122(constB87)), introduced(assumption)).
% 33.86/22.47 tff(12623,plain,
% 33.86/22.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB87, bitIndex0)) | (~v90(constB87, bitIndex1)) | v90(constB87, bitIndex2) | v122(constB87))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB87, bitIndex0)) | (~v90(constB87, bitIndex1)) | v90(constB87, bitIndex2) | v122(constB87))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12624,plain,
% 33.86/22.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB87, bitIndex0)) | (~v90(constB87, bitIndex1)) | v90(constB87, bitIndex2) | v122(constB87))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12625,plain,
% 33.86/22.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB87, bitIndex0)) | (~v90(constB87, bitIndex1)) | v90(constB87, bitIndex2) | v122(constB87)),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12624, 12623])).
% 33.86/22.47 tff(12626,plain,
% 33.86/22.47 ((~v90(constB87, bitIndex0)) | (~v90(constB87, bitIndex1)) | v90(constB87, bitIndex2)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12625, 1486, 12622])).
% 33.86/22.47 tff(12627,plain,
% 33.86/22.47 (~v90(constB87, bitIndex1)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12626, 12621, 12607])).
% 33.86/22.47 tff(12628,assumption,(~v120(constB87)), introduced(assumption)).
% 33.86/22.47 tff(12629,plain,
% 33.86/22.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12630,plain,
% 33.86/22.47 (((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2)) <=> ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12631,plain,
% 33.86/22.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87)))),
% 33.86/22.47 inference(monotonicity,[status(thm)],[12630])).
% 33.86/22.47 tff(12632,plain,
% 33.86/22.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 33.86/22.47 inference(transitivity,[status(thm)],[12631, 12629])).
% 33.86/22.47 tff(12633,plain,
% 33.86/22.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12634,plain,
% 33.86/22.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87)),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12633, 12632])).
% 33.86/22.47 tff(12635,plain,
% 33.86/22.47 ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12634, 922, 12628])).
% 33.86/22.47 tff(12636,plain,
% 33.86/22.47 ($false),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12635, 12627, 12621, 12607])).
% 33.86/22.47 tff(12637,plain,(v90(constB87, bitIndex2) | v120(constB87) | v122(constB87) | v119(constB87) | v121(constB87)), inference(lemma,lemma(discharge,[]))).
% 33.86/22.47 tff(12638,plain,
% 33.86/22.47 (v120(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12637, 12606, 12602, 12601, 12592])).
% 33.86/22.47 tff(12639,plain,
% 33.86/22.47 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB87) | (~v120(constB87)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB87) | (~v120(constB87)))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12640,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB87) | (~v120(constB87)))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12641,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB87) | (~v120(constB87))),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12640, 12639])).
% 33.86/22.47 tff(12642,plain,
% 33.86/22.47 ($false),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12641, 936, 12638, 12584])).
% 33.86/22.47 tff(12643,plain,(v100(constB88) | v119(constB87) | v90(constB88, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 33.86/22.47 tff(12644,plain,
% 33.86/22.47 (v90(constB88, bitIndex2)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12643, 12588, 12502])).
% 33.86/22.47 tff(12645,assumption,(~v90(constB85, bitIndex0)), introduced(assumption)).
% 33.86/22.47 tff(12646,plain,
% 33.86/22.47 ((~v1(constB89)) <=> (~v1(constB89))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12647,axiom,(~v1(constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 33.86/22.47 tff(12648,plain,
% 33.86/22.47 (~v1(constB89)),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12647, 12646])).
% 33.86/22.47 tff(12649,plain,
% 33.86/22.47 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12650,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 33.86/22.47 tff(12651,plain,
% 33.86/22.47 (nextState(constB88, constB89)),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12650, 12649])).
% 33.86/22.47 tff(12652,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12653,plain,
% 33.86/22.47 (((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12654,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))))),
% 33.86/22.47 inference(monotonicity,[status(thm)],[12653])).
% 33.86/22.47 tff(12655,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 33.86/22.47 inference(transitivity,[status(thm)],[12654, 12652])).
% 33.86/22.47 tff(12656,plain,
% 33.86/22.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12657,plain,
% 33.86/22.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12656, 12655])).
% 33.86/22.47 tff(12658,plain,
% 33.86/22.47 (~v101(constB89)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12657, 381, 12651, 12648])).
% 33.86/22.47 tff(12659,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12660,plain,
% 33.86/22.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12661,plain,
% 33.86/22.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89))),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12660, 12659])).
% 33.86/22.47 tff(12662,plain,
% 33.86/22.47 (v101(constB89) | (~v100(constB89))),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12661, 398, 12651])).
% 33.86/22.47 tff(12663,plain,
% 33.86/22.47 (~v100(constB89)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12662, 12658])).
% 33.86/22.47 tff(12664,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex2))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12665,plain,
% 33.86/22.47 (((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex2)) | v100(constB89) | v90(constB89, bitIndex2)) <=> ((~v90(constB88, bitIndex2)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex2))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12666,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex2)) | v100(constB89) | v90(constB89, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex2)))),
% 33.86/22.47 inference(monotonicity,[status(thm)],[12665])).
% 33.86/22.47 tff(12667,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex2)) | v100(constB89) | v90(constB89, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex2))),
% 33.86/22.47 inference(transitivity,[status(thm)],[12666, 12664])).
% 33.86/22.47 tff(12668,plain,
% 33.86/22.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex2)) | v100(constB89) | v90(constB89, bitIndex2))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12669,plain,
% 33.86/22.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex2)),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12668, 12667])).
% 33.86/22.47 tff(12670,plain,
% 33.86/22.47 ((~v90(constB88, bitIndex2)) | v100(constB89) | v90(constB89, bitIndex2)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12669, 1658, 12651])).
% 33.86/22.47 tff(12671,plain,
% 33.86/22.47 ((~v90(constB88, bitIndex2)) | v90(constB89, bitIndex2)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12670, 12663])).
% 33.86/22.47 tff(12672,plain,
% 33.86/22.47 (v90(constB89, bitIndex2)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12671, 12644])).
% 33.86/22.47 tff(12673,plain,
% 33.86/22.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB89, bitIndex2)) | (~v121(constB89)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB89, bitIndex2)) | (~v121(constB89)))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12674,plain,
% 33.86/22.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB89, bitIndex2)) | (~v121(constB89)))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12675,plain,
% 33.86/22.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB89, bitIndex2)) | (~v121(constB89))),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12674, 12673])).
% 33.86/22.47 tff(12676,plain,
% 33.86/22.47 (~v121(constB89)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12675, 2216, 12672])).
% 33.86/22.47 tff(12677,plain,
% 33.86/22.47 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB87) | (~v123(constB87)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB87) | (~v123(constB87)))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12678,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB87) | (~v123(constB87)))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12679,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB87) | (~v123(constB87))),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12678, 12677])).
% 33.86/22.47 tff(12680,plain,
% 33.86/22.47 (~v123(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12679, 1776, 12572])).
% 33.86/22.47 tff(12681,assumption,(~v121(constB89)), introduced(assumption)).
% 33.86/22.47 tff(12682,assumption,(~v90(constB88, bitIndex0)), introduced(assumption)).
% 33.86/22.47 tff(12683,plain,
% 33.86/22.47 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB87) | (~v26(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB87) | (~v26(constB87)))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12684,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB87) | (~v26(constB87)))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12685,plain,
% 33.86/22.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB87) | (~v26(constB87))),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12684, 12683])).
% 33.86/22.47 tff(12686,plain,
% 33.86/22.47 (~v26(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12685, 2348, 12548])).
% 33.86/22.47 tff(12687,plain,
% 33.86/22.47 (~v113(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12562, 556, 12686, 12552])).
% 33.86/22.47 tff(12688,plain,
% 33.86/22.47 (~v114(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12567, 542, 12687])).
% 33.86/22.47 tff(12689,plain,
% 33.86/22.47 (~v115(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12571, 531, 12688])).
% 33.86/22.47 tff(12690,assumption,(~v90(constB88, bitIndex1)), introduced(assumption)).
% 33.86/22.47 tff(12691,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12692,plain,
% 33.86/22.47 (((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex1)) | v100(constB88) | v90(constB88, bitIndex1)) <=> ((~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12693,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex1)) | v100(constB88) | v90(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1)))),
% 33.86/22.47 inference(monotonicity,[status(thm)],[12692])).
% 33.86/22.47 tff(12694,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex1)) | v100(constB88) | v90(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1))),
% 33.86/22.47 inference(transitivity,[status(thm)],[12693, 12691])).
% 33.86/22.47 tff(12695,plain,
% 33.86/22.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex1)) | v100(constB88) | v90(constB88, bitIndex1))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12696,plain,
% 33.86/22.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1)),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12695, 12694])).
% 33.86/22.47 tff(12697,plain,
% 33.86/22.47 ((~v90(constB87, bitIndex1)) | v100(constB88) | v90(constB88, bitIndex1)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12696, 1149, 12508])).
% 33.86/22.47 tff(12698,plain,
% 33.86/22.47 (~v90(constB87, bitIndex1)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12697, 12502, 12690])).
% 33.86/22.47 tff(12699,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex0))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12700,plain,
% 33.86/22.47 (((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex0)) | v100(constB88) | v90(constB88, bitIndex0)) <=> ((~v90(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex0))),
% 33.86/22.47 inference(rewrite,[status(thm)],[])).
% 33.86/22.47 tff(12701,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex0)) | v100(constB88) | v90(constB88, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex0)))),
% 33.86/22.47 inference(monotonicity,[status(thm)],[12700])).
% 33.86/22.47 tff(12702,plain,
% 33.86/22.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex0)) | v100(constB88) | v90(constB88, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex0))),
% 33.86/22.47 inference(transitivity,[status(thm)],[12701, 12699])).
% 33.86/22.47 tff(12703,plain,
% 33.86/22.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex0)) | v100(constB88) | v90(constB88, bitIndex0))),
% 33.86/22.47 inference(quant_inst,[status(thm)],[])).
% 33.86/22.47 tff(12704,plain,
% 33.86/22.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex0)),
% 33.86/22.47 inference(modus_ponens,[status(thm)],[12703, 12702])).
% 33.86/22.47 tff(12705,plain,
% 33.86/22.47 ((~v90(constB87, bitIndex0)) | v100(constB88) | v90(constB88, bitIndex0)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12704, 903, 12508])).
% 33.86/22.47 tff(12706,plain,
% 33.86/22.47 (~v90(constB87, bitIndex0)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12705, 12502, 12682])).
% 33.86/22.47 tff(12707,plain,
% 33.86/22.47 (v119(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12617, 476, 12706, 12698, 12601])).
% 33.86/22.47 tff(12708,plain,
% 33.86/22.47 (v118(constB87)),
% 33.86/22.47 inference(unit_resolution,[status(thm)],[12587, 487, 12707])).
% 33.86/22.48 tff(12709,plain,
% 33.86/22.48 (v117(constB87)),
% 33.86/22.48 inference(unit_resolution,[status(thm)],[12583, 498, 12708])).
% 33.86/22.48 tff(12710,plain,
% 33.86/22.48 (v116(constB87)),
% 33.86/22.48 inference(unit_resolution,[status(thm)],[12579, 509, 12709])).
% 33.86/22.48 tff(12711,plain,
% 33.86/22.48 ($false),
% 33.86/22.48 inference(unit_resolution,[status(thm)],[12575, 520, 12710, 12689])).
% 33.86/22.48 tff(12712,plain,(v100(constB88) | v90(constB88, bitIndex0) | v90(constB88, bitIndex2) | v90(constB88, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 33.86/22.48 tff(12713,plain,
% 33.86/22.48 (v90(constB88, bitIndex1)),
% 33.86/22.48 inference(unit_resolution,[status(thm)],[12712, 12593, 12682, 12502])).
% 33.86/22.48 tff(12714,plain,
% 33.86/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 33.86/22.48 inference(rewrite,[status(thm)],[])).
% 33.86/22.48 tff(12715,plain,
% 33.86/22.48 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))) <=> (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 33.86/22.48 inference(rewrite,[status(thm)],[])).
% 33.86/22.48 tff(12716,plain,
% 33.86/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0))))),
% 33.86/22.48 inference(monotonicity,[status(thm)],[12715])).
% 33.86/22.48 tff(12717,plain,
% 33.86/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 33.86/22.48 inference(transitivity,[status(thm)],[12716, 12714])).
% 33.86/22.48 tff(12718,plain,
% 33.86/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 33.86/22.48 inference(quant_inst,[status(thm)],[])).
% 33.86/22.48 tff(12719,plain,
% 33.86/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 33.86/22.48 inference(modus_ponens,[status(thm)],[12718, 12717])).
% 33.86/22.48 tff(12720,plain,
% 33.86/22.48 (v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 33.86/22.48 inference(unit_resolution,[status(thm)],[12719, 455, 12651])).
% 33.86/22.48 tff(12721,plain,
% 33.86/22.48 (v90(constB88, bitIndex0) | (~v90(constB89, bitIndex0))),
% 33.86/22.48 inference(unit_resolution,[status(thm)],[12720, 12663])).
% 33.86/22.48 tff(12722,plain,
% 33.86/22.48 (~v90(constB89, bitIndex0)),
% 33.86/22.48 inference(unit_resolution,[status(thm)],[12721, 12682])).
% 33.86/22.48 tff(12723,plain,
% 33.86/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12724,plain,
% 33.89/22.48 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))) <=> (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12725,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2))))),
% 33.89/22.48 inference(monotonicity,[status(thm)],[12724])).
% 33.89/22.48 tff(12726,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 33.89/22.48 inference(transitivity,[status(thm)],[12725, 12723])).
% 33.89/22.48 tff(12727,plain,
% 33.89/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 33.89/22.48 inference(quant_inst,[status(thm)],[])).
% 33.89/22.48 tff(12728,plain,
% 33.89/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 33.89/22.48 inference(modus_ponens,[status(thm)],[12727, 12726])).
% 33.89/22.48 tff(12729,plain,
% 33.89/22.48 (v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12728, 413, 12651])).
% 33.89/22.48 tff(12730,plain,
% 33.89/22.48 (v90(constB88, bitIndex2) | (~v90(constB89, bitIndex2))),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12729, 12663])).
% 33.89/22.48 tff(12731,plain,
% 33.89/22.48 (~v90(constB89, bitIndex2)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12730, 12593])).
% 33.89/22.48 tff(12732,plain,
% 33.89/22.48 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12733,plain,
% 33.89/22.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 33.89/22.48 inference(quant_inst,[status(thm)],[])).
% 33.89/22.48 tff(12734,plain,
% 33.89/22.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89)),
% 33.89/22.48 inference(modus_ponens,[status(thm)],[12733, 12732])).
% 33.89/22.48 tff(12735,plain,
% 33.89/22.48 (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12734, 1242, 12681])).
% 33.89/22.48 tff(12736,plain,
% 33.89/22.48 (~v90(constB89, bitIndex1)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12735, 12731, 12722])).
% 33.89/22.48 tff(12737,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12738,plain,
% 33.89/22.48 (((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)) <=> ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12739,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1)))),
% 33.89/22.48 inference(monotonicity,[status(thm)],[12738])).
% 33.89/22.48 tff(12740,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 33.89/22.48 inference(transitivity,[status(thm)],[12739, 12737])).
% 33.89/22.48 tff(12741,plain,
% 33.89/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))),
% 33.89/22.48 inference(quant_inst,[status(thm)],[])).
% 33.89/22.48 tff(12742,plain,
% 33.89/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1)),
% 33.89/22.48 inference(modus_ponens,[status(thm)],[12741, 12740])).
% 33.89/22.48 tff(12743,plain,
% 33.89/22.48 ((~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12742, 1149, 12651])).
% 33.89/22.48 tff(12744,plain,
% 33.89/22.48 ((~v90(constB88, bitIndex1)) | v90(constB89, bitIndex1)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12743, 12663])).
% 33.89/22.48 tff(12745,plain,
% 33.89/22.48 ($false),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12744, 12736, 12713])).
% 33.89/22.48 tff(12746,plain,(v90(constB88, bitIndex2) | v121(constB89) | v90(constB88, bitIndex0) | v100(constB88)), inference(lemma,lemma(discharge,[]))).
% 33.89/22.48 tff(12747,plain,
% 33.89/22.48 (v90(constB88, bitIndex2)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12746, 12502, 12682, 12681])).
% 33.89/22.48 tff(12748,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB87, bitIndex2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB87, bitIndex2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex2)))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12749,plain,
% 33.89/22.48 (((~nextState(constB87, constB88)) | v90(constB87, bitIndex2) | v100(constB88) | (~v90(constB88, bitIndex2))) <=> (v90(constB87, bitIndex2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex2)))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12750,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex2) | v100(constB88) | (~v90(constB88, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB87, bitIndex2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex2))))),
% 33.89/22.48 inference(monotonicity,[status(thm)],[12749])).
% 33.89/22.48 tff(12751,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex2) | v100(constB88) | (~v90(constB88, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB87, bitIndex2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex2)))),
% 33.89/22.48 inference(transitivity,[status(thm)],[12750, 12748])).
% 33.89/22.48 tff(12752,plain,
% 33.89/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex2) | v100(constB88) | (~v90(constB88, bitIndex2)))),
% 33.89/22.48 inference(quant_inst,[status(thm)],[])).
% 33.89/22.48 tff(12753,plain,
% 33.89/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB87, bitIndex2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex2))),
% 33.89/22.48 inference(modus_ponens,[status(thm)],[12752, 12751])).
% 33.89/22.48 tff(12754,plain,
% 33.89/22.48 (v90(constB87, bitIndex2) | v100(constB88) | (~v90(constB88, bitIndex2))),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12753, 413, 12508])).
% 33.89/22.48 tff(12755,plain,
% 33.89/22.48 (v90(constB87, bitIndex2)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12754, 12747, 12502])).
% 33.89/22.48 tff(12756,plain,
% 33.89/22.48 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB87) | (~v125(constB87)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB87) | (~v125(constB87)))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12757,plain,
% 33.89/22.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB87) | (~v125(constB87)))),
% 33.89/22.48 inference(quant_inst,[status(thm)],[])).
% 33.89/22.48 tff(12758,plain,
% 33.89/22.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB87) | (~v125(constB87))),
% 33.89/22.48 inference(modus_ponens,[status(thm)],[12757, 12756])).
% 33.89/22.48 tff(12759,plain,
% 33.89/22.48 (~v125(constB87)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12758, 2332, 12564])).
% 33.89/22.48 tff(12760,plain,
% 33.89/22.48 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | (~v90(constB87, bitIndex2)) | v125(constB87))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | (~v90(constB87, bitIndex2)) | v125(constB87))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12761,plain,
% 33.89/22.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | (~v90(constB87, bitIndex2)) | v125(constB87))),
% 33.89/22.48 inference(quant_inst,[status(thm)],[])).
% 33.89/22.48 tff(12762,plain,
% 33.89/22.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB87, bitIndex0) | (~v90(constB87, bitIndex1)) | (~v90(constB87, bitIndex2)) | v125(constB87)),
% 33.89/22.48 inference(modus_ponens,[status(thm)],[12761, 12760])).
% 33.89/22.48 tff(12763,plain,
% 33.89/22.48 ((~v90(constB87, bitIndex1)) | (~v90(constB87, bitIndex2)) | v125(constB87)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12762, 2321, 12706])).
% 33.89/22.48 tff(12764,plain,
% 33.89/22.48 (~v90(constB87, bitIndex1)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12763, 12755, 12759])).
% 33.89/22.48 tff(12765,plain,
% 33.89/22.48 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v123(constB87))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v123(constB87))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12766,plain,
% 33.89/22.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v123(constB87))),
% 33.89/22.48 inference(quant_inst,[status(thm)],[])).
% 33.89/22.48 tff(12767,plain,
% 33.89/22.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v123(constB87)),
% 33.89/22.48 inference(modus_ponens,[status(thm)],[12766, 12765])).
% 33.89/22.48 tff(12768,plain,
% 33.89/22.48 (v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v123(constB87)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12767, 1765, 12706])).
% 33.89/22.48 tff(12769,plain,
% 33.89/22.48 ($false),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12768, 12764, 12755, 12680])).
% 33.89/22.48 tff(12770,plain,(v100(constB88) | v90(constB88, bitIndex0) | v121(constB89)), inference(lemma,lemma(discharge,[]))).
% 33.89/22.48 tff(12771,plain,
% 33.89/22.48 (v90(constB88, bitIndex0)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12770, 12676, 12502])).
% 33.89/22.48 tff(12772,assumption,(v90(constB88, bitIndex0)), introduced(assumption)).
% 33.89/22.48 tff(12773,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB87, bitIndex0) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB87, bitIndex0) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex0)))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12774,plain,
% 33.89/22.48 (((~nextState(constB87, constB88)) | v90(constB87, bitIndex0) | v100(constB88) | (~v90(constB88, bitIndex0))) <=> (v90(constB87, bitIndex0) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex0)))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12775,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex0) | v100(constB88) | (~v90(constB88, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB87, bitIndex0) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex0))))),
% 33.89/22.48 inference(monotonicity,[status(thm)],[12774])).
% 33.89/22.48 tff(12776,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex0) | v100(constB88) | (~v90(constB88, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB87, bitIndex0) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex0)))),
% 33.89/22.48 inference(transitivity,[status(thm)],[12775, 12773])).
% 33.89/22.48 tff(12777,plain,
% 33.89/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex0) | v100(constB88) | (~v90(constB88, bitIndex0)))),
% 33.89/22.48 inference(quant_inst,[status(thm)],[])).
% 33.89/22.48 tff(12778,plain,
% 33.89/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB87, bitIndex0) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex0))),
% 33.89/22.48 inference(modus_ponens,[status(thm)],[12777, 12776])).
% 33.89/22.48 tff(12779,plain,
% 33.89/22.48 (v90(constB87, bitIndex0) | v100(constB88) | (~v90(constB88, bitIndex0))),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12778, 455, 12508])).
% 33.89/22.48 tff(12780,plain,
% 33.89/22.48 (v90(constB87, bitIndex0)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12779, 12502, 12772])).
% 33.89/22.48 tff(12781,plain,
% 33.89/22.48 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12782,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 33.89/22.48 tff(12783,plain,
% 33.89/22.48 (nextState(constB86, constB87)),
% 33.89/22.48 inference(modus_ponens,[status(thm)],[12782, 12781])).
% 33.89/22.48 tff(12784,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12785,plain,
% 33.89/22.48 (((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12786,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))))),
% 33.89/22.48 inference(monotonicity,[status(thm)],[12785])).
% 33.89/22.48 tff(12787,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 33.89/22.48 inference(transitivity,[status(thm)],[12786, 12784])).
% 33.89/22.48 tff(12788,plain,
% 33.89/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))),
% 33.89/22.48 inference(quant_inst,[status(thm)],[])).
% 33.89/22.48 tff(12789,plain,
% 33.89/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))),
% 33.89/22.48 inference(modus_ponens,[status(thm)],[12788, 12787])).
% 33.89/22.48 tff(12790,plain,
% 33.89/22.48 (~v101(constB87)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12789, 381, 12783, 12505])).
% 33.89/22.48 tff(12791,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12792,plain,
% 33.89/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 33.89/22.48 inference(quant_inst,[status(thm)],[])).
% 33.89/22.48 tff(12793,plain,
% 33.89/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87))),
% 33.89/22.48 inference(modus_ponens,[status(thm)],[12792, 12791])).
% 33.89/22.48 tff(12794,plain,
% 33.89/22.48 (v101(constB87) | (~v100(constB87))),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12793, 398, 12783])).
% 33.89/22.48 tff(12795,plain,
% 33.89/22.48 (~v100(constB87)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12794, 12790])).
% 33.89/22.48 tff(12796,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex0)))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12797,plain,
% 33.89/22.48 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex0) | v100(constB87) | (~v90(constB87, bitIndex0))) <=> (v90(constB86, bitIndex0) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex0)))),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12798,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex0) | v100(constB87) | (~v90(constB87, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex0))))),
% 33.89/22.48 inference(monotonicity,[status(thm)],[12797])).
% 33.89/22.48 tff(12799,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex0) | v100(constB87) | (~v90(constB87, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex0)))),
% 33.89/22.48 inference(transitivity,[status(thm)],[12798, 12796])).
% 33.89/22.48 tff(12800,plain,
% 33.89/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex0) | v100(constB87) | (~v90(constB87, bitIndex0)))),
% 33.89/22.48 inference(quant_inst,[status(thm)],[])).
% 33.89/22.48 tff(12801,plain,
% 33.89/22.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex0))),
% 33.89/22.48 inference(modus_ponens,[status(thm)],[12800, 12799])).
% 33.89/22.48 tff(12802,plain,
% 33.89/22.48 (v90(constB86, bitIndex0) | v100(constB87) | (~v90(constB87, bitIndex0))),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12801, 455, 12783])).
% 33.89/22.48 tff(12803,plain,
% 33.89/22.48 (v90(constB86, bitIndex0) | (~v90(constB87, bitIndex0))),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12802, 12795])).
% 33.89/22.48 tff(12804,plain,
% 33.89/22.48 (v90(constB86, bitIndex0)),
% 33.89/22.48 inference(unit_resolution,[status(thm)],[12803, 12780])).
% 33.89/22.48 tff(12805,plain,
% 33.89/22.48 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 33.89/22.48 inference(rewrite,[status(thm)],[])).
% 33.89/22.48 tff(12806,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 33.89/22.48 tff(12807,plain,
% 33.89/22.48 (nextState(constB85, constB86)),
% 33.89/22.48 inference(modus_ponens,[status(thm)],[12806, 12805])).
% 33.89/22.48 tff(12808,plain,
% 33.89/22.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB85, bitIndex0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB85, bitIndex0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, bitIndex0)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12809,plain,
% 33.89/22.49 (((~nextState(constB85, constB86)) | v90(constB85, bitIndex0) | v100(constB86) | (~v90(constB86, bitIndex0))) <=> (v90(constB85, bitIndex0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, bitIndex0)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12810,plain,
% 33.89/22.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB85, constB86)) | v90(constB85, bitIndex0) | v100(constB86) | (~v90(constB86, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB85, bitIndex0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, bitIndex0))))),
% 33.89/22.49 inference(monotonicity,[status(thm)],[12809])).
% 33.89/22.49 tff(12811,plain,
% 33.89/22.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB85, constB86)) | v90(constB85, bitIndex0) | v100(constB86) | (~v90(constB86, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB85, bitIndex0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, bitIndex0)))),
% 33.89/22.49 inference(transitivity,[status(thm)],[12810, 12808])).
% 33.89/22.49 tff(12812,plain,
% 33.89/22.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB85, constB86)) | v90(constB85, bitIndex0) | v100(constB86) | (~v90(constB86, bitIndex0)))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12813,plain,
% 33.89/22.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB85, bitIndex0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, bitIndex0))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12812, 12811])).
% 33.89/22.49 tff(12814,plain,
% 33.89/22.49 (v90(constB85, bitIndex0) | v100(constB86) | (~v90(constB86, bitIndex0))),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12813, 455, 12807])).
% 33.89/22.49 tff(12815,plain,
% 33.89/22.49 (v100(constB86)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12814, 12804, 12645])).
% 33.89/22.49 tff(12816,plain,
% 33.89/22.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | v129(constB86, bitIndex0) | (~v100(constB86)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | v129(constB86, bitIndex0) | (~v100(constB86)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12817,plain,
% 33.89/22.49 (((~v90(constB86, bitIndex0)) | (~v100(constB86)) | v129(constB86, bitIndex0)) <=> ((~v90(constB86, bitIndex0)) | v129(constB86, bitIndex0) | (~v100(constB86)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12818,plain,
% 33.89/22.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~v100(constB86)) | v129(constB86, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | v129(constB86, bitIndex0) | (~v100(constB86))))),
% 33.89/22.49 inference(monotonicity,[status(thm)],[12817])).
% 33.89/22.49 tff(12819,plain,
% 33.89/22.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~v100(constB86)) | v129(constB86, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | v129(constB86, bitIndex0) | (~v100(constB86)))),
% 33.89/22.49 inference(transitivity,[status(thm)],[12818, 12816])).
% 33.89/22.49 tff(12820,plain,
% 33.89/22.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~v100(constB86)) | v129(constB86, bitIndex0))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12821,plain,
% 33.89/22.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | v129(constB86, bitIndex0) | (~v100(constB86))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12820, 12819])).
% 33.89/22.49 tff(12822,plain,
% 33.89/22.49 (v129(constB86, bitIndex0)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12821, 1215, 12815, 12804])).
% 33.89/22.49 tff(12823,plain,
% 33.89/22.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex0) | (~v129(constB86, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex0) | (~v129(constB86, bitIndex0)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12824,plain,
% 33.89/22.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex0) | (~v129(constB86, bitIndex0)))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12825,plain,
% 33.89/22.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex0) | (~v129(constB86, bitIndex0))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12824, 12823])).
% 33.89/22.49 tff(12826,plain,
% 33.89/22.49 (v127(constB85, bitIndex0) | (~v129(constB86, bitIndex0))),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12825, 1200, 12807])).
% 33.89/22.49 tff(12827,plain,
% 33.89/22.49 (v127(constB85, bitIndex0)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12826, 12822])).
% 33.89/22.49 tff(12828,plain,
% 33.89/22.49 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB85)) | (~v127(constB85, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB85)) | (~v127(constB85, bitIndex0)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12829,plain,
% 33.89/22.49 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB85)) | (~v127(constB85, bitIndex0)))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12830,plain,
% 33.89/22.49 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB85)) | (~v127(constB85, bitIndex0))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12829, 12828])).
% 33.89/22.49 tff(12831,plain,
% 33.89/22.49 (~v26(constB85)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12830, 3012, 12827])).
% 33.89/22.49 tff(12832,assumption,(v90(constB88, bitIndex1)), introduced(assumption)).
% 33.89/22.49 tff(12833,plain,
% 33.89/22.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12834,plain,
% 33.89/22.49 (((~nextState(constB87, constB88)) | v90(constB87, bitIndex1) | v100(constB88) | (~v90(constB88, bitIndex1))) <=> (v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12835,plain,
% 33.89/22.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex1) | v100(constB88) | (~v90(constB88, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1))))),
% 33.89/22.49 inference(monotonicity,[status(thm)],[12834])).
% 33.89/22.49 tff(12836,plain,
% 33.89/22.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex1) | v100(constB88) | (~v90(constB88, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1)))),
% 33.89/22.49 inference(transitivity,[status(thm)],[12835, 12833])).
% 33.89/22.49 tff(12837,plain,
% 33.89/22.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex1) | v100(constB88) | (~v90(constB88, bitIndex1)))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12838,plain,
% 33.89/22.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12837, 12836])).
% 33.89/22.49 tff(12839,plain,
% 33.89/22.49 (v90(constB87, bitIndex1) | v100(constB88) | (~v90(constB88, bitIndex1))),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12838, 434, 12508])).
% 33.89/22.49 tff(12840,plain,
% 33.89/22.49 (v90(constB87, bitIndex1)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12839, 12502, 12832])).
% 33.89/22.49 tff(12841,plain,
% 33.89/22.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12842,plain,
% 33.89/22.49 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))) <=> (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12843,plain,
% 33.89/22.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1))))),
% 33.89/22.49 inference(monotonicity,[status(thm)],[12842])).
% 33.89/22.49 tff(12844,plain,
% 33.89/22.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 33.89/22.49 inference(transitivity,[status(thm)],[12843, 12841])).
% 33.89/22.49 tff(12845,plain,
% 33.89/22.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12846,plain,
% 33.89/22.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12845, 12844])).
% 33.89/22.49 tff(12847,plain,
% 33.89/22.49 (v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12846, 434, 12783])).
% 33.89/22.49 tff(12848,plain,
% 33.89/22.49 (v90(constB86, bitIndex1) | (~v90(constB87, bitIndex1))),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12847, 12795])).
% 33.89/22.49 tff(12849,plain,
% 33.89/22.49 (v90(constB86, bitIndex1)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12848, 12840])).
% 33.89/22.49 tff(12850,plain,
% 33.89/22.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12851,plain,
% 33.89/22.49 (((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1)) <=> ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12852,plain,
% 33.89/22.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))))),
% 33.89/22.49 inference(monotonicity,[status(thm)],[12851])).
% 33.89/22.49 tff(12853,plain,
% 33.89/22.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 33.89/22.49 inference(transitivity,[status(thm)],[12852, 12850])).
% 33.89/22.49 tff(12854,plain,
% 33.89/22.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12855,plain,
% 33.89/22.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12854, 12853])).
% 33.89/22.49 tff(12856,plain,
% 33.89/22.49 (v129(constB86, bitIndex1)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12855, 814, 12815, 12849])).
% 33.89/22.49 tff(12857,plain,
% 33.89/22.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12858,plain,
% 33.89/22.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12859,plain,
% 33.89/22.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12858, 12857])).
% 33.89/22.49 tff(12860,plain,
% 33.89/22.49 (v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12859, 799, 12807])).
% 33.89/22.49 tff(12861,plain,
% 33.89/22.49 (v127(constB85, bitIndex1)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12860, 12856])).
% 33.89/22.49 tff(12862,plain,
% 33.89/22.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12863,plain,
% 33.89/22.49 ((v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1))) <=> ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12864,plain,
% 33.89/22.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)))),
% 33.89/22.49 inference(monotonicity,[status(thm)],[12863])).
% 33.89/22.49 tff(12865,plain,
% 33.89/22.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 33.89/22.49 inference(transitivity,[status(thm)],[12864, 12862])).
% 33.89/22.49 tff(12866,plain,
% 33.89/22.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12867,plain,
% 33.89/22.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12866, 12865])).
% 33.89/22.49 tff(12868,plain,
% 33.89/22.49 (v130(constB85, bitIndex1)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12867, 781, 12861, 12831])).
% 33.89/22.49 tff(12869,plain,
% 33.89/22.49 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v130(constB85, bitIndex1)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12870,plain,
% 33.89/22.49 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v130(constB85, bitIndex1)))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12871,plain,
% 33.89/22.49 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v130(constB85, bitIndex1))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12870, 12869])).
% 33.89/22.49 tff(12872,plain,
% 33.89/22.49 (~v119(constB85)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12871, 767, 12868])).
% 33.89/22.49 tff(12873,plain,
% 33.89/22.49 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB85)) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB85)) | (~v130(constB85, bitIndex1)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12874,plain,
% 33.89/22.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB85)) | (~v130(constB85, bitIndex1)))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12875,plain,
% 33.89/22.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB85)) | (~v130(constB85, bitIndex1))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12874, 12873])).
% 33.89/22.49 tff(12876,plain,
% 33.89/22.49 (~v123(constB85)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12875, 1909, 12868])).
% 33.89/22.49 tff(12877,assumption,(v90(constB88, bitIndex2)), introduced(assumption)).
% 33.89/22.49 tff(12878,plain,
% 33.89/22.49 (v90(constB87, bitIndex2)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12754, 12502, 12877])).
% 33.89/22.49 tff(12879,plain,
% 33.89/22.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12880,plain,
% 33.89/22.49 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))) <=> (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12881,plain,
% 33.89/22.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2))))),
% 33.89/22.49 inference(monotonicity,[status(thm)],[12880])).
% 33.89/22.49 tff(12882,plain,
% 33.89/22.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 33.89/22.49 inference(transitivity,[status(thm)],[12881, 12879])).
% 33.89/22.49 tff(12883,plain,
% 33.89/22.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12884,plain,
% 33.89/22.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12883, 12882])).
% 33.89/22.49 tff(12885,plain,
% 33.89/22.49 (v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12884, 413, 12783])).
% 33.89/22.49 tff(12886,plain,
% 33.89/22.49 (v90(constB86, bitIndex2) | (~v90(constB87, bitIndex2))),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12885, 12795])).
% 33.89/22.49 tff(12887,plain,
% 33.89/22.49 (v90(constB86, bitIndex2)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12886, 12878])).
% 33.89/22.49 tff(12888,plain,
% 33.89/22.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12889,plain,
% 33.89/22.49 (((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2)) <=> ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12890,plain,
% 33.89/22.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86))))),
% 33.89/22.49 inference(monotonicity,[status(thm)],[12889])).
% 33.89/22.49 tff(12891,plain,
% 33.89/22.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 33.89/22.49 inference(transitivity,[status(thm)],[12890, 12888])).
% 33.89/22.49 tff(12892,plain,
% 33.89/22.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12893,plain,
% 33.89/22.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12892, 12891])).
% 33.89/22.49 tff(12894,plain,
% 33.89/22.49 (v129(constB86, bitIndex2)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12893, 722, 12815, 12887])).
% 33.89/22.49 tff(12895,plain,
% 33.89/22.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12896,plain,
% 33.89/22.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12897,plain,
% 33.89/22.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12896, 12895])).
% 33.89/22.49 tff(12898,plain,
% 33.89/22.49 (v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12897, 707, 12807])).
% 33.89/22.49 tff(12899,plain,
% 33.89/22.49 (v127(constB85, bitIndex2)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12898, 12894])).
% 33.89/22.49 tff(12900,plain,
% 33.89/22.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12901,plain,
% 33.89/22.49 ((v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2))) <=> ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12902,plain,
% 33.89/22.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)))),
% 33.89/22.49 inference(monotonicity,[status(thm)],[12901])).
% 33.89/22.49 tff(12903,plain,
% 33.89/22.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 33.89/22.49 inference(transitivity,[status(thm)],[12902, 12900])).
% 33.89/22.49 tff(12904,plain,
% 33.89/22.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12905,plain,
% 33.89/22.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12904, 12903])).
% 33.89/22.49 tff(12906,plain,
% 33.89/22.49 (v130(constB85, bitIndex2)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12905, 689, 12899, 12831])).
% 33.89/22.49 tff(12907,plain,
% 33.89/22.49 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB85)) | (~v130(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB85)) | (~v130(constB85, bitIndex2)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12908,plain,
% 33.89/22.49 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB85)) | (~v130(constB85, bitIndex2)))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12909,plain,
% 33.89/22.49 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB85)) | (~v130(constB85, bitIndex2))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12908, 12907])).
% 33.89/22.49 tff(12910,plain,
% 33.89/22.49 (~v121(constB85)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12909, 1342, 12906])).
% 33.89/22.49 tff(12911,plain,
% 33.89/22.49 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v120(VarCurr))))),
% 33.89/22.49 inference(bind,[status(th)],[])).
% 33.89/22.49 tff(12912,plain,
% 33.89/22.49 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 33.89/22.49 inference(quant_intro,[status(thm)],[12911])).
% 33.89/22.49 tff(12913,plain,
% 33.89/22.49 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12914,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_2')).
% 33.89/22.49 tff(12915,plain,
% 33.89/22.49 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12914, 12913])).
% 33.89/22.49 tff(12916,plain,(
% 33.89/22.49 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 33.89/22.49 inference(skolemize,[status(sab)],[12915])).
% 33.89/22.49 tff(12917,plain,
% 33.89/22.49 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12916, 12912])).
% 33.89/22.49 tff(12918,plain,
% 33.89/22.49 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB85, bitIndex0) | (~v120(constB85)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB85, bitIndex0) | (~v120(constB85)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12919,plain,
% 33.89/22.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB85, bitIndex0) | (~v120(constB85)))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12920,plain,
% 33.89/22.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB85, bitIndex0) | (~v120(constB85))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12919, 12918])).
% 33.89/22.49 tff(12921,plain,
% 33.89/22.49 (~v120(constB85)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12920, 12917, 12645])).
% 33.89/22.49 tff(12922,plain,
% 33.89/22.49 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB85, bitIndex0) | (~v122(constB85)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB85, bitIndex0) | (~v122(constB85)))),
% 33.89/22.49 inference(rewrite,[status(thm)],[])).
% 33.89/22.49 tff(12923,plain,
% 33.89/22.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB85, bitIndex0) | (~v122(constB85)))),
% 33.89/22.49 inference(quant_inst,[status(thm)],[])).
% 33.89/22.49 tff(12924,plain,
% 33.89/22.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB85, bitIndex0) | (~v122(constB85))),
% 33.89/22.49 inference(modus_ponens,[status(thm)],[12923, 12922])).
% 33.89/22.49 tff(12925,plain,
% 33.89/22.49 (~v122(constB85)),
% 33.89/22.49 inference(unit_resolution,[status(thm)],[12924, 10703, 12645])).
% 33.89/22.49 tff(12926,plain,
% 33.89/22.49 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v124(VarCurr))))),
% 33.89/22.50 inference(bind,[status(th)],[])).
% 33.89/22.50 tff(12927,plain,
% 33.89/22.50 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 33.89/22.50 inference(quant_intro,[status(thm)],[12926])).
% 33.89/22.50 tff(12928,plain,
% 33.89/22.50 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(12929,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 33.89/22.50 tff(12930,plain,
% 33.89/22.50 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[12929, 12928])).
% 33.89/22.50 tff(12931,plain,(
% 33.89/22.50 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 33.89/22.50 inference(skolemize,[status(sab)],[12930])).
% 33.89/22.50 tff(12932,plain,
% 33.89/22.50 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[12931, 12927])).
% 33.89/22.50 tff(12933,plain,
% 33.89/22.50 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB85, bitIndex0) | (~v124(constB85)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB85, bitIndex0) | (~v124(constB85)))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(12934,plain,
% 33.89/22.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB85, bitIndex0) | (~v124(constB85)))),
% 33.89/22.50 inference(quant_inst,[status(thm)],[])).
% 33.89/22.50 tff(12935,plain,
% 33.89/22.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB85, bitIndex0) | (~v124(constB85))),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[12934, 12933])).
% 33.89/22.50 tff(12936,plain,
% 33.89/22.50 (~v124(constB85)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12935, 12932, 12645])).
% 33.89/22.50 tff(12937,plain,
% 33.89/22.50 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1)))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(12938,plain,
% 33.89/22.50 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1))) <=> (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1)))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(12939,plain,
% 33.89/22.50 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1))))),
% 33.89/22.50 inference(monotonicity,[status(thm)],[12938])).
% 33.89/22.50 tff(12940,plain,
% 33.89/22.50 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1)))),
% 33.89/22.50 inference(transitivity,[status(thm)],[12939, 12937])).
% 33.89/22.50 tff(12941,plain,
% 33.89/22.50 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))),
% 33.89/22.50 inference(quant_inst,[status(thm)],[])).
% 33.89/22.50 tff(12942,plain,
% 33.89/22.50 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1))),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[12941, 12940])).
% 33.89/22.50 tff(12943,plain,
% 33.89/22.50 (v123(constB85) | v121(constB85) | v119(constB85) | (~v130(constB85, bitIndex1))),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12942, 2448, 12936, 12925, 12921])).
% 33.89/22.50 tff(12944,plain,
% 33.89/22.50 ($false),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12943, 12910, 12876, 12872, 12868])).
% 33.89/22.50 tff(12945,plain,(v100(constB88) | v90(constB85, bitIndex0) | (~v90(constB88, bitIndex2)) | (~v90(constB88, bitIndex1)) | (~v90(constB88, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 33.89/22.50 tff(12946,plain,
% 33.89/22.50 (~v90(constB88, bitIndex1)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12945, 12771, 12645, 12502, 12644])).
% 33.89/22.50 tff(12947,plain,
% 33.89/22.50 (~v120(constB87)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12641, 936, 12584])).
% 33.89/22.50 tff(12948,plain,
% 33.89/22.50 (v90(constB87, bitIndex2)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12637, 12588, 12606, 12947, 12592])).
% 33.89/22.50 tff(12949,plain,
% 33.89/22.50 (v90(constB87, bitIndex0)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12779, 12771, 12502])).
% 33.89/22.50 tff(12950,plain,
% 33.89/22.50 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB87) | (~v124(constB87)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB87) | (~v124(constB87)))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(12951,plain,
% 33.89/22.50 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB87) | (~v124(constB87)))),
% 33.89/22.50 inference(quant_inst,[status(thm)],[])).
% 33.89/22.50 tff(12952,plain,
% 33.89/22.50 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB87) | (~v124(constB87))),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[12951, 12950])).
% 33.89/22.50 tff(12953,plain,
% 33.89/22.50 (~v124(constB87)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12952, 2005, 12568])).
% 33.89/22.50 tff(12954,plain,
% 33.89/22.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v124(constB87))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v124(constB87))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(12955,plain,
% 33.89/22.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v124(constB87))),
% 33.89/22.50 inference(quant_inst,[status(thm)],[])).
% 33.89/22.50 tff(12956,plain,
% 33.89/22.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v124(constB87)),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[12955, 12954])).
% 33.89/22.50 tff(12957,plain,
% 33.89/22.50 ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2))),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12956, 1994, 12953])).
% 33.89/22.50 tff(12958,plain,
% 33.89/22.50 (v90(constB87, bitIndex1)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12957, 12949, 12948])).
% 33.89/22.50 tff(12959,plain,
% 33.89/22.50 ($false),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12697, 12958, 12946, 12502])).
% 33.89/22.50 tff(12960,plain,(v100(constB88) | v90(constB85, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 33.89/22.50 tff(12961,plain,
% 33.89/22.50 (v100(constB88)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12960, 12501])).
% 33.89/22.50 tff(12962,plain,
% 33.89/22.50 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB83)) | v130(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB83)) | v130(constB83, bitIndex1))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(12963,plain,
% 33.89/22.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB83)) | v130(constB83, bitIndex1))),
% 33.89/22.50 inference(quant_inst,[status(thm)],[])).
% 33.89/22.50 tff(12964,plain,
% 33.89/22.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB83)) | v130(constB83, bitIndex1)),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[12963, 12962])).
% 33.89/22.50 tff(12965,plain,
% 33.89/22.50 (v130(constB83, bitIndex1)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12964, 2145, 12378])).
% 33.89/22.50 tff(12966,plain,
% 33.89/22.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(12967,plain,
% 33.89/22.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 33.89/22.50 inference(quant_inst,[status(thm)],[])).
% 33.89/22.50 tff(12968,plain,
% 33.89/22.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[12967, 12966])).
% 33.89/22.50 tff(12969,plain,
% 33.89/22.50 ((~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12968, 1101, 12395])).
% 33.89/22.50 tff(12970,plain,
% 33.89/22.50 (v127(constB83, bitIndex1)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12969, 12965])).
% 33.89/22.50 tff(12971,plain,
% 33.89/22.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(12972,plain,
% 33.89/22.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 33.89/22.50 inference(quant_inst,[status(thm)],[])).
% 33.89/22.50 tff(12973,plain,
% 33.89/22.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[12972, 12971])).
% 33.89/22.50 tff(12974,plain,
% 33.89/22.50 ((~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12973, 1116, 12406])).
% 33.89/22.50 tff(12975,plain,
% 33.89/22.50 (v129(constB84, bitIndex1)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12974, 12970])).
% 33.89/22.50 tff(12976,plain,
% 33.89/22.50 (v115(constB81)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12188, 1776, 12184])).
% 33.89/22.50 tff(12977,plain,
% 33.89/22.50 (v114(constB81)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12192, 531, 12976])).
% 33.89/22.50 tff(12978,plain,
% 33.89/22.50 (v113(constB81)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12196, 542, 12977])).
% 33.89/22.50 tff(12979,plain,
% 33.89/22.50 (v112(constB81)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12208, 12978])).
% 33.89/22.50 tff(12980,plain,
% 33.89/22.50 (v108(constB81)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12212, 568, 12979])).
% 33.89/22.50 tff(12981,plain,
% 33.89/22.50 (v110(constB82)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12223, 12980])).
% 33.89/22.50 tff(12982,plain,
% 33.89/22.50 (v100(constB82)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12255, 12981])).
% 33.89/22.50 tff(12983,plain,
% 33.89/22.50 (v130(constB81, bitIndex0)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12308, 1953, 12184])).
% 33.89/22.50 tff(12984,plain,
% 33.89/22.50 (v127(constB81, bitIndex0)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12313, 12983])).
% 33.89/22.50 tff(12985,plain,
% 33.89/22.50 (v129(constB82, bitIndex0)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12318, 12984])).
% 33.89/22.50 tff(12986,plain,
% 33.89/22.50 (v90(constB82, bitIndex0) | (~v100(constB82))),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12325, 885, 12985])).
% 33.89/22.50 tff(12987,plain,
% 33.89/22.50 (v90(constB82, bitIndex0)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12986, 12982])).
% 33.89/22.50 tff(12988,plain,
% 33.89/22.50 (v90(constB83, bitIndex0)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12335, 12987])).
% 33.89/22.50 tff(12989,plain,
% 33.89/22.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB83, bitIndex0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB83, bitIndex0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex0))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(12990,plain,
% 33.89/22.50 (((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex0)) | v100(constB84) | v90(constB84, bitIndex0)) <=> ((~v90(constB83, bitIndex0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex0))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(12991,plain,
% 33.89/22.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex0)) | v100(constB84) | v90(constB84, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB83, bitIndex0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex0)))),
% 33.89/22.50 inference(monotonicity,[status(thm)],[12990])).
% 33.89/22.50 tff(12992,plain,
% 33.89/22.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex0)) | v100(constB84) | v90(constB84, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB83, bitIndex0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex0))),
% 33.89/22.50 inference(transitivity,[status(thm)],[12991, 12989])).
% 33.89/22.50 tff(12993,plain,
% 33.89/22.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB83, constB84)) | (~v90(constB83, bitIndex0)) | v100(constB84) | v90(constB84, bitIndex0))),
% 33.89/22.50 inference(quant_inst,[status(thm)],[])).
% 33.89/22.50 tff(12994,plain,
% 33.89/22.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB83, bitIndex0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, bitIndex0)),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[12993, 12992])).
% 33.89/22.50 tff(12995,plain,
% 33.89/22.50 ((~v90(constB83, bitIndex0)) | v100(constB84) | v90(constB84, bitIndex0)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12994, 903, 12406])).
% 33.89/22.50 tff(12996,plain,
% 33.89/22.50 (v100(constB84)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[12995, 12988, 12474])).
% 33.89/22.50 tff(12997,plain,
% 33.89/22.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(12998,plain,
% 33.89/22.50 ((v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1))) <=> (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(12999,plain,
% 33.89/22.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))))),
% 33.89/22.50 inference(monotonicity,[status(thm)],[12998])).
% 33.89/22.50 tff(13000,plain,
% 33.89/22.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 33.89/22.50 inference(transitivity,[status(thm)],[12999, 12997])).
% 33.89/22.50 tff(13001,plain,
% 33.89/22.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))),
% 33.89/22.50 inference(quant_inst,[status(thm)],[])).
% 33.89/22.50 tff(13002,plain,
% 33.89/22.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[13001, 13000])).
% 33.89/22.50 tff(13003,plain,
% 33.89/22.50 (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1))),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[13002, 1131, 12996])).
% 33.89/22.50 tff(13004,plain,
% 33.89/22.50 (v90(constB84, bitIndex1)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[13003, 12975])).
% 33.89/22.50 tff(13005,plain,
% 33.89/22.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(13006,plain,
% 33.89/22.50 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)) <=> ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(13007,plain,
% 33.89/22.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1)))),
% 33.89/22.50 inference(monotonicity,[status(thm)],[13006])).
% 33.89/22.50 tff(13008,plain,
% 33.89/22.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 33.89/22.50 inference(transitivity,[status(thm)],[13007, 13005])).
% 33.89/22.50 tff(13009,plain,
% 33.89/22.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))),
% 33.89/22.50 inference(quant_inst,[status(thm)],[])).
% 33.89/22.50 tff(13010,plain,
% 33.89/22.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1)),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[13009, 13008])).
% 33.89/22.50 tff(13011,plain,
% 33.89/22.50 ((~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[13010, 1149, 12480])).
% 33.89/22.50 tff(13012,plain,
% 33.89/22.50 ((~v90(constB84, bitIndex1)) | v90(constB85, bitIndex1)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[13011, 12492])).
% 33.89/22.50 tff(13013,plain,
% 33.89/22.50 (v90(constB85, bitIndex1)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[13012, 13004])).
% 33.89/22.50 tff(13014,plain,
% 33.89/22.50 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB83)) | v130(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB83)) | v130(constB83, bitIndex2))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(13015,plain,
% 33.89/22.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB83)) | v130(constB83, bitIndex2))),
% 33.89/22.50 inference(quant_inst,[status(thm)],[])).
% 33.89/22.50 tff(13016,plain,
% 33.89/22.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB83)) | v130(constB83, bitIndex2)),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[13015, 13014])).
% 33.89/22.50 tff(13017,plain,
% 33.89/22.50 (v130(constB83, bitIndex2)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[13016, 2075, 12378])).
% 33.89/22.50 tff(13018,plain,
% 33.89/22.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(13019,plain,
% 33.89/22.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 33.89/22.50 inference(quant_inst,[status(thm)],[])).
% 33.89/22.50 tff(13020,plain,
% 33.89/22.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[13019, 13018])).
% 33.89/22.50 tff(13021,plain,
% 33.89/22.50 ((~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[13020, 1592, 12395])).
% 33.89/22.50 tff(13022,plain,
% 33.89/22.50 (v127(constB83, bitIndex2)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[13021, 13017])).
% 33.89/22.50 tff(13023,plain,
% 33.89/22.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(13024,plain,
% 33.89/22.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 33.89/22.50 inference(quant_inst,[status(thm)],[])).
% 33.89/22.50 tff(13025,plain,
% 33.89/22.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[13024, 13023])).
% 33.89/22.50 tff(13026,plain,
% 33.89/22.50 ((~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[13025, 1607, 12406])).
% 33.89/22.50 tff(13027,plain,
% 33.89/22.50 (v129(constB84, bitIndex2)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[13026, 13022])).
% 33.89/22.50 tff(13028,plain,
% 33.89/22.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(13029,plain,
% 33.89/22.50 ((v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2))) <=> (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(13030,plain,
% 33.89/22.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))))),
% 33.89/22.50 inference(monotonicity,[status(thm)],[13029])).
% 33.89/22.50 tff(13031,plain,
% 33.89/22.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 33.89/22.50 inference(transitivity,[status(thm)],[13030, 13028])).
% 33.89/22.50 tff(13032,plain,
% 33.89/22.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))),
% 33.89/22.50 inference(quant_inst,[status(thm)],[])).
% 33.89/22.50 tff(13033,plain,
% 33.89/22.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))),
% 33.89/22.50 inference(modus_ponens,[status(thm)],[13032, 13031])).
% 33.89/22.50 tff(13034,plain,
% 33.89/22.50 (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2))),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[13033, 1622, 12996])).
% 33.89/22.50 tff(13035,plain,
% 33.89/22.50 (v90(constB84, bitIndex2)),
% 33.89/22.50 inference(unit_resolution,[status(thm)],[13034, 13027])).
% 33.89/22.50 tff(13036,plain,
% 33.89/22.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(13037,plain,
% 33.89/22.50 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)) <=> ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 33.89/22.50 inference(rewrite,[status(thm)],[])).
% 33.89/22.50 tff(13038,plain,
% 33.89/22.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2)))),
% 33.89/22.50 inference(monotonicity,[status(thm)],[13037])).
% 33.89/22.50 tff(13039,plain,
% 33.89/22.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 33.89/22.51 inference(transitivity,[status(thm)],[13038, 13036])).
% 33.89/22.51 tff(13040,plain,
% 33.89/22.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13041,plain,
% 33.89/22.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2)),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13040, 13039])).
% 33.89/22.51 tff(13042,plain,
% 33.89/22.51 ((~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13041, 1658, 12480])).
% 33.89/22.51 tff(13043,plain,
% 33.89/22.51 ((~v90(constB84, bitIndex2)) | v90(constB85, bitIndex2)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13042, 12492])).
% 33.89/22.51 tff(13044,plain,
% 33.89/22.51 (v90(constB85, bitIndex2)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13043, 13035])).
% 33.89/22.51 tff(13045,plain,
% 33.89/22.51 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13046,plain,
% 33.89/22.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13047,plain,
% 33.89/22.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85)),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13046, 13045])).
% 33.89/22.51 tff(13048,plain,
% 33.89/22.51 ((~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13047, 2321, 12501])).
% 33.89/22.51 tff(13049,plain,
% 33.89/22.51 (v125(constB85)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13048, 13044, 13013])).
% 33.89/22.51 tff(13050,plain,
% 33.89/22.51 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB85) | (~v125(constB85)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB85) | (~v125(constB85)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13051,plain,
% 33.89/22.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB85) | (~v125(constB85)))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13052,plain,
% 33.89/22.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB85) | (~v125(constB85))),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13051, 13050])).
% 33.89/22.51 tff(13053,plain,
% 33.89/22.51 (v113(constB85)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13052, 2332, 13049])).
% 33.89/22.51 tff(13054,assumption,(v26(constB85)), introduced(assumption)).
% 33.89/22.51 tff(13055,plain,
% 33.89/22.51 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB85))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13056,plain,
% 33.89/22.51 ($false),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13055, 120, 13054])).
% 33.89/22.51 tff(13057,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 33.89/22.51 tff(13058,plain,
% 33.89/22.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13059,plain,
% 33.89/22.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13060,plain,
% 33.89/22.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | (~v113(constB85)) | v112(constB85)),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13059, 13058])).
% 33.89/22.51 tff(13061,plain,
% 33.89/22.51 ((~v113(constB85)) | v112(constB85)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13060, 556, 13057])).
% 33.89/22.51 tff(13062,plain,
% 33.89/22.51 (v112(constB85)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13061, 13053])).
% 33.89/22.51 tff(13063,plain,
% 33.89/22.51 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB85) | (~v112(constB85)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13064,plain,
% 33.89/22.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB85) | (~v112(constB85)))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13065,plain,
% 33.89/22.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB85) | (~v112(constB85))),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13064, 13063])).
% 33.89/22.51 tff(13066,plain,
% 33.89/22.51 (v108(constB85)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13065, 568, 13062])).
% 33.89/22.51 tff(13067,plain,
% 33.89/22.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13068,plain,
% 33.89/22.51 (((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86)) <=> ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13069,plain,
% 33.89/22.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))))),
% 33.89/22.51 inference(monotonicity,[status(thm)],[13068])).
% 33.89/22.51 tff(13070,plain,
% 33.89/22.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 33.89/22.51 inference(transitivity,[status(thm)],[13069, 13067])).
% 33.89/22.51 tff(13071,plain,
% 33.89/22.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13072,plain,
% 33.89/22.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13071, 13070])).
% 33.89/22.51 tff(13073,plain,
% 33.89/22.51 (v110(constB86) | (~v108(constB85))),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13072, 585, 12807])).
% 33.89/22.51 tff(13074,plain,
% 33.89/22.51 (v110(constB86)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13073, 13066])).
% 33.89/22.51 tff(13075,plain,
% 33.89/22.51 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13076,plain,
% 33.89/22.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13077,plain,
% 33.89/22.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86))),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13076, 13075])).
% 33.89/22.51 tff(13078,plain,
% 33.89/22.51 (~v104(constB86)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13077, 603, 12807, 12477])).
% 33.89/22.51 tff(13079,plain,
% 33.89/22.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13080,plain,
% 33.89/22.51 (((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86)) <=> ((~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13081,plain,
% 33.89/22.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v102(constB86)))),
% 33.89/22.51 inference(monotonicity,[status(thm)],[13080])).
% 33.89/22.51 tff(13082,plain,
% 33.89/22.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))),
% 33.89/22.51 inference(transitivity,[status(thm)],[13081, 13079])).
% 33.89/22.51 tff(13083,plain,
% 33.89/22.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13084,plain,
% 33.89/22.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | v102(constB86)),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13083, 13082])).
% 33.89/22.51 tff(13085,plain,
% 33.89/22.51 (v104(constB86) | v102(constB86)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13084, 617, 12807])).
% 33.89/22.51 tff(13086,plain,
% 33.89/22.51 (v102(constB86)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13085, 13078])).
% 33.89/22.51 tff(13087,plain,
% 33.89/22.51 (v1(constB86) <=> v1(constB86)),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13088,axiom,(v1(constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 33.89/22.51 tff(13089,plain,
% 33.89/22.51 (v1(constB86)),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13088, 13087])).
% 33.89/22.51 tff(13090,plain,
% 33.89/22.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13091,plain,
% 33.89/22.51 (((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86))) <=> ((~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13092,plain,
% 33.89/22.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86))))),
% 33.89/22.51 inference(monotonicity,[status(thm)],[13091])).
% 33.89/22.51 tff(13093,plain,
% 33.89/22.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))),
% 33.89/22.51 inference(transitivity,[status(thm)],[13092, 13090])).
% 33.89/22.51 tff(13094,plain,
% 33.89/22.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13095,plain,
% 33.89/22.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86))),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13094, 13093])).
% 33.89/22.51 tff(13096,plain,
% 33.89/22.51 (v101(constB86) | (~v102(constB86))),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13095, 638, 12807, 13089])).
% 33.89/22.51 tff(13097,plain,
% 33.89/22.51 (v101(constB86)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13096, 13086])).
% 33.89/22.51 tff(13098,plain,
% 33.89/22.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13099,plain,
% 33.89/22.51 (((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86)) <=> ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13100,plain,
% 33.89/22.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))))),
% 33.89/22.51 inference(monotonicity,[status(thm)],[13099])).
% 33.89/22.51 tff(13101,plain,
% 33.89/22.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 33.89/22.51 inference(transitivity,[status(thm)],[13100, 13098])).
% 33.89/22.51 tff(13102,plain,
% 33.89/22.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13103,plain,
% 33.89/22.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13102, 13101])).
% 33.89/22.51 tff(13104,plain,
% 33.89/22.51 (v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13103, 656, 12807])).
% 33.89/22.51 tff(13105,plain,
% 33.89/22.51 (v100(constB86) | (~v110(constB86))),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13104, 13097])).
% 33.89/22.51 tff(13106,plain,
% 33.89/22.51 (v100(constB86)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13105, 13074])).
% 33.89/22.51 tff(13107,plain,
% 33.89/22.51 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13108,plain,
% 33.89/22.51 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13109,plain,
% 33.89/22.51 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1))),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13108, 13107])).
% 33.89/22.51 tff(13110,plain,
% 33.89/22.51 (~v119(constB85)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13109, 2230, 13013])).
% 33.89/22.51 tff(13111,plain,
% 33.89/22.51 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v121(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v121(constB85)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13112,plain,
% 33.89/22.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v121(constB85)))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13113,plain,
% 33.89/22.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v121(constB85))),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13112, 13111])).
% 33.89/22.51 tff(13114,plain,
% 33.89/22.51 (~v121(constB85)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13113, 2216, 13044])).
% 33.89/22.51 tff(13115,plain,
% 33.89/22.51 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v123(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v123(constB85)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13116,plain,
% 33.89/22.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v123(constB85)))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13117,plain,
% 33.89/22.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v123(constB85))),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13116, 13115])).
% 33.89/22.51 tff(13118,plain,
% 33.89/22.51 (~v123(constB85)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13117, 2194, 13013])).
% 33.89/22.51 tff(13119,plain,
% 33.89/22.51 (~v120(constB85)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[12920, 12917, 12501])).
% 33.89/22.51 tff(13120,plain,
% 33.89/22.51 (~v122(constB85)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[12924, 10703, 12501])).
% 33.89/22.51 tff(13121,plain,
% 33.89/22.51 (~v124(constB85)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[12935, 12932, 12501])).
% 33.89/22.51 tff(13122,plain,
% 33.89/22.51 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13123,plain,
% 33.89/22.51 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2))) <=> (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13124,plain,
% 33.89/22.51 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2))))),
% 33.89/22.51 inference(monotonicity,[status(thm)],[13123])).
% 33.89/22.51 tff(13125,plain,
% 33.89/22.51 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2)))),
% 33.89/22.51 inference(transitivity,[status(thm)],[13124, 13122])).
% 33.89/22.51 tff(13126,plain,
% 33.89/22.51 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13127,plain,
% 33.89/22.51 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2))),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13126, 13125])).
% 33.89/22.51 tff(13128,plain,
% 33.89/22.51 (v123(constB85) | v121(constB85) | v119(constB85) | (~v130(constB85, bitIndex2))),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13127, 2244, 13121, 13120, 13119])).
% 33.89/22.51 tff(13129,plain,
% 33.89/22.51 (~v130(constB85, bitIndex2)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13128, 13118, 13114, 13110])).
% 33.89/22.51 tff(13130,plain,
% 33.89/22.51 ((~v127(constB85, bitIndex2)) | v130(constB85, bitIndex2)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[12905, 689, 13057])).
% 33.89/22.51 tff(13131,plain,
% 33.89/22.51 (~v127(constB85, bitIndex2)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13130, 13129])).
% 33.89/22.51 tff(13132,plain,
% 33.89/22.51 (~v129(constB86, bitIndex2)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[12898, 13131])).
% 33.89/22.51 tff(13133,plain,
% 33.89/22.51 ((~v90(constB86, bitIndex2)) | (~v100(constB86))),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[12893, 722, 13132])).
% 33.89/22.51 tff(13134,plain,
% 33.89/22.51 (~v90(constB86, bitIndex2)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13133, 13106])).
% 33.89/22.51 tff(13135,plain,
% 33.89/22.51 (~v90(constB87, bitIndex2)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[12886, 13134])).
% 33.89/22.51 tff(13136,plain,
% 33.89/22.51 (v123(constB85) | v121(constB85) | v119(constB85) | (~v130(constB85, bitIndex1))),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[12942, 2448, 13121, 13120, 13119])).
% 33.89/22.51 tff(13137,plain,
% 33.89/22.51 (~v130(constB85, bitIndex1)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13136, 13118, 13114, 13110])).
% 33.89/22.51 tff(13138,plain,
% 33.89/22.51 ((~v127(constB85, bitIndex1)) | v130(constB85, bitIndex1)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[12867, 781, 13057])).
% 33.89/22.51 tff(13139,plain,
% 33.89/22.51 (~v127(constB85, bitIndex1)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13138, 13137])).
% 33.89/22.51 tff(13140,plain,
% 33.89/22.51 (~v129(constB86, bitIndex1)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[12860, 13139])).
% 33.89/22.51 tff(13141,plain,
% 33.89/22.51 ((~v90(constB86, bitIndex1)) | (~v100(constB86))),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[12855, 814, 13140])).
% 33.89/22.51 tff(13142,plain,
% 33.89/22.51 (~v90(constB86, bitIndex1)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13141, 13106])).
% 33.89/22.51 tff(13143,plain,
% 33.89/22.51 (~v90(constB87, bitIndex1)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[12848, 13142])).
% 33.89/22.51 tff(13144,plain,
% 33.89/22.51 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13145,plain,
% 33.89/22.51 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0)) <=> (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13146,plain,
% 33.89/22.51 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0)))),
% 33.89/22.51 inference(monotonicity,[status(thm)],[13145])).
% 33.89/22.51 tff(13147,plain,
% 33.89/22.51 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0))),
% 33.89/22.51 inference(transitivity,[status(thm)],[13146, 13144])).
% 33.89/22.51 tff(13148,plain,
% 33.89/22.51 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13149,plain,
% 33.89/22.51 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0)),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13148, 13147])).
% 33.89/22.51 tff(13150,plain,
% 33.89/22.51 (v123(constB85) | v121(constB85) | v119(constB85) | v130(constB85, bitIndex0)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13149, 2495, 13121, 13120, 13119])).
% 33.89/22.51 tff(13151,plain,
% 33.89/22.51 (v130(constB85, bitIndex0)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13150, 13118, 13114, 13110])).
% 33.89/22.51 tff(13152,plain,
% 33.89/22.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13153,plain,
% 33.89/22.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13154,plain,
% 33.89/22.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0)),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13153, 13152])).
% 33.89/22.51 tff(13155,plain,
% 33.89/22.51 ((~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13154, 855, 13057])).
% 33.89/22.51 tff(13156,plain,
% 33.89/22.51 (v127(constB85, bitIndex0)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13155, 13151])).
% 33.89/22.51 tff(13157,plain,
% 33.89/22.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13158,plain,
% 33.89/22.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13159,plain,
% 33.89/22.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13158, 13157])).
% 33.89/22.51 tff(13160,plain,
% 33.89/22.51 ((~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13159, 870, 12807])).
% 33.89/22.51 tff(13161,plain,
% 33.89/22.51 (v129(constB86, bitIndex0)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13160, 13156])).
% 33.89/22.51 tff(13162,plain,
% 33.89/22.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13163,plain,
% 33.89/22.51 ((v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0))) <=> (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 33.89/22.51 inference(rewrite,[status(thm)],[])).
% 33.89/22.51 tff(13164,plain,
% 33.89/22.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))))),
% 33.89/22.51 inference(monotonicity,[status(thm)],[13163])).
% 33.89/22.51 tff(13165,plain,
% 33.89/22.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 33.89/22.51 inference(transitivity,[status(thm)],[13164, 13162])).
% 33.89/22.51 tff(13166,plain,
% 33.89/22.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))),
% 33.89/22.51 inference(quant_inst,[status(thm)],[])).
% 33.89/22.51 tff(13167,plain,
% 33.89/22.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))),
% 33.89/22.51 inference(modus_ponens,[status(thm)],[13166, 13165])).
% 33.89/22.51 tff(13168,plain,
% 33.89/22.51 (v90(constB86, bitIndex0) | (~v100(constB86))),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13167, 885, 13161])).
% 33.89/22.51 tff(13169,plain,
% 33.89/22.51 (v90(constB86, bitIndex0)),
% 33.89/22.51 inference(unit_resolution,[status(thm)],[13168, 13106])).
% 33.89/22.51 tff(13170,plain,
% 33.89/22.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13171,plain,
% 33.89/22.52 (((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)) <=> ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13172,plain,
% 33.89/22.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0)))),
% 33.89/22.52 inference(monotonicity,[status(thm)],[13171])).
% 33.89/22.52 tff(13173,plain,
% 33.89/22.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 33.89/22.52 inference(transitivity,[status(thm)],[13172, 13170])).
% 33.89/22.52 tff(13174,plain,
% 33.89/22.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13175,plain,
% 33.89/22.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0)),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13174, 13173])).
% 33.89/22.52 tff(13176,plain,
% 33.89/22.52 ((~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13175, 903, 12783])).
% 33.89/22.52 tff(13177,plain,
% 33.89/22.52 ((~v90(constB86, bitIndex0)) | v90(constB87, bitIndex0)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13176, 12795])).
% 33.89/22.52 tff(13178,plain,
% 33.89/22.52 (v90(constB87, bitIndex0)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13177, 13169])).
% 33.89/22.52 tff(13179,plain,
% 33.89/22.52 (v120(constB87)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[12634, 922, 13178, 13143, 13135])).
% 33.89/22.52 tff(13180,plain,
% 33.89/22.52 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13181,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13182,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0))),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13181, 13180])).
% 33.89/22.52 tff(13183,plain,
% 33.89/22.52 (~v130(constB87, bitIndex0)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13182, 1168, 13179])).
% 33.89/22.52 tff(13184,plain,
% 33.89/22.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13185,plain,
% 33.89/22.52 ((v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0))) <=> ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13186,plain,
% 33.89/22.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)))),
% 33.89/22.52 inference(monotonicity,[status(thm)],[13185])).
% 33.89/22.52 tff(13187,plain,
% 33.89/22.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 33.89/22.52 inference(transitivity,[status(thm)],[13186, 13184])).
% 33.89/22.52 tff(13188,plain,
% 33.89/22.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13189,plain,
% 33.89/22.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13188, 13187])).
% 33.89/22.52 tff(13190,plain,
% 33.89/22.52 ((~v127(constB87, bitIndex0)) | v130(constB87, bitIndex0)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13189, 1182, 12556])).
% 33.89/22.52 tff(13191,plain,
% 33.89/22.52 (~v127(constB87, bitIndex0)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13190, 13183])).
% 33.89/22.52 tff(13192,plain,
% 33.89/22.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13193,plain,
% 33.89/22.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13194,plain,
% 33.89/22.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13193, 13192])).
% 33.89/22.52 tff(13195,plain,
% 33.89/22.52 (v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13194, 1200, 12508])).
% 33.89/22.52 tff(13196,plain,
% 33.89/22.52 (~v129(constB88, bitIndex0)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13195, 13191])).
% 33.89/22.52 tff(13197,plain,
% 33.89/22.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13198,plain,
% 33.89/22.52 (((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0)) <=> ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13199,plain,
% 33.89/22.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))))),
% 33.89/22.52 inference(monotonicity,[status(thm)],[13198])).
% 33.89/22.52 tff(13200,plain,
% 33.89/22.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 33.89/22.52 inference(transitivity,[status(thm)],[13199, 13197])).
% 33.89/22.52 tff(13201,plain,
% 33.89/22.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13202,plain,
% 33.89/22.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13201, 13200])).
% 33.89/22.52 tff(13203,plain,
% 33.89/22.52 ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13202, 1215, 12961])).
% 33.89/22.52 tff(13204,plain,
% 33.89/22.52 (~v90(constB88, bitIndex0)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13203, 13196])).
% 33.89/22.52 tff(13205,plain,
% 33.89/22.52 (~v90(constB89, bitIndex0)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[12721, 13204])).
% 33.89/22.52 tff(13206,plain,
% 33.89/22.52 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13207,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13208,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2))),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13207, 13206])).
% 33.89/22.52 tff(13209,plain,
% 33.89/22.52 (~v130(constB87, bitIndex2)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13208, 1025, 13179])).
% 33.89/22.52 tff(13210,plain,
% 33.89/22.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13211,plain,
% 33.89/22.52 ((v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2))) <=> ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13212,plain,
% 33.89/22.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)))),
% 33.89/22.52 inference(monotonicity,[status(thm)],[13211])).
% 33.89/22.52 tff(13213,plain,
% 33.89/22.52 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 33.89/22.52 inference(transitivity,[status(thm)],[13212, 13210])).
% 33.89/22.52 tff(13214,plain,
% 33.89/22.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13215,plain,
% 33.89/22.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13214, 13213])).
% 33.89/22.52 tff(13216,plain,
% 33.89/22.52 ((~v127(constB87, bitIndex2)) | v130(constB87, bitIndex2)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13215, 689, 12556])).
% 33.89/22.52 tff(13217,plain,
% 33.89/22.52 (~v127(constB87, bitIndex2)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13216, 13209])).
% 33.89/22.52 tff(13218,plain,
% 33.89/22.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13219,plain,
% 33.89/22.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13220,plain,
% 33.89/22.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13219, 13218])).
% 33.89/22.52 tff(13221,plain,
% 33.89/22.52 (v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13220, 707, 12508])).
% 33.89/22.52 tff(13222,plain,
% 33.89/22.52 (~v129(constB88, bitIndex2)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13221, 13217])).
% 33.89/22.52 tff(13223,plain,
% 33.89/22.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13224,plain,
% 33.89/22.52 (((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2)) <=> ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13225,plain,
% 33.89/22.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88))))),
% 33.89/22.52 inference(monotonicity,[status(thm)],[13224])).
% 33.89/22.52 tff(13226,plain,
% 33.89/22.52 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 33.89/22.52 inference(transitivity,[status(thm)],[13225, 13223])).
% 33.89/22.52 tff(13227,plain,
% 33.89/22.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13228,plain,
% 33.89/22.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88))),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13227, 13226])).
% 33.89/22.52 tff(13229,plain,
% 33.89/22.52 ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13228, 722, 12961])).
% 33.89/22.52 tff(13230,plain,
% 33.89/22.52 (~v90(constB88, bitIndex2)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13229, 13222])).
% 33.89/22.52 tff(13231,assumption,(~v127(constB87, bitIndex0)), introduced(assumption)).
% 33.89/22.52 tff(13232,assumption,(v100(constB88)), introduced(assumption)).
% 33.89/22.52 tff(13233,plain,
% 33.89/22.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88)))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13234,plain,
% 33.89/22.52 ((v90(constB88, bitIndex2) | (~v100(constB88)) | (~v129(constB88, bitIndex2))) <=> (v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88)))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13235,plain,
% 33.89/22.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~v100(constB88)) | (~v129(constB88, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88))))),
% 33.89/22.52 inference(monotonicity,[status(thm)],[13234])).
% 33.89/22.52 tff(13236,plain,
% 33.89/22.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~v100(constB88)) | (~v129(constB88, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88)))),
% 33.89/22.52 inference(transitivity,[status(thm)],[13235, 13233])).
% 33.89/22.52 tff(13237,plain,
% 33.89/22.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~v100(constB88)) | (~v129(constB88, bitIndex2)))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13238,plain,
% 33.89/22.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88))),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13237, 13236])).
% 33.89/22.52 tff(13239,plain,
% 33.89/22.52 (v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2))),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13238, 1622, 13232])).
% 33.89/22.52 tff(13240,plain,
% 33.89/22.52 (~v129(constB88, bitIndex2)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13239, 12593])).
% 33.89/22.52 tff(13241,plain,
% 33.89/22.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex2)) | v129(constB88, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex2)) | v129(constB88, bitIndex2))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13242,plain,
% 33.89/22.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex2)) | v129(constB88, bitIndex2))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13243,plain,
% 33.89/22.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex2)) | v129(constB88, bitIndex2)),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13242, 13241])).
% 33.89/22.52 tff(13244,plain,
% 33.89/22.52 ((~v127(constB87, bitIndex2)) | v129(constB88, bitIndex2)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13243, 1607, 12508])).
% 33.89/22.52 tff(13245,plain,
% 33.89/22.52 (~v127(constB87, bitIndex2)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13244, 13240])).
% 33.89/22.52 tff(13246,assumption,(~v26(constB87)), introduced(assumption)).
% 33.89/22.52 tff(13247,plain,
% 33.89/22.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB87) | (~v130(constB87, bitIndex0)) | v127(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB87) | (~v130(constB87, bitIndex0)) | v127(constB87, bitIndex0))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13248,plain,
% 33.89/22.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB87) | (~v130(constB87, bitIndex0)) | v127(constB87, bitIndex0))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13249,plain,
% 33.89/22.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB87) | (~v130(constB87, bitIndex0)) | v127(constB87, bitIndex0)),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13248, 13247])).
% 33.89/22.52 tff(13250,plain,
% 33.89/22.52 (v26(constB87) | (~v130(constB87, bitIndex0))),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13249, 855, 13231])).
% 33.89/22.52 tff(13251,plain,
% 33.89/22.52 (~v130(constB87, bitIndex0)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13250, 13246])).
% 33.89/22.52 tff(13252,plain,
% 33.89/22.52 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB87)) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB87)) | v130(constB87, bitIndex0))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13253,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB87)) | v130(constB87, bitIndex0))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13254,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB87)) | v130(constB87, bitIndex0)),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13253, 13252])).
% 33.89/22.52 tff(13255,plain,
% 33.89/22.52 (~v123(constB87)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13254, 1953, 13251])).
% 33.89/22.52 tff(13256,assumption,(~v127(constB87, bitIndex2)), introduced(assumption)).
% 33.89/22.52 tff(13257,plain,
% 33.89/22.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB87) | (~v130(constB87, bitIndex2)) | v127(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB87) | (~v130(constB87, bitIndex2)) | v127(constB87, bitIndex2))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13258,plain,
% 33.89/22.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB87) | (~v130(constB87, bitIndex2)) | v127(constB87, bitIndex2))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13259,plain,
% 33.89/22.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB87) | (~v130(constB87, bitIndex2)) | v127(constB87, bitIndex2)),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13258, 13257])).
% 33.89/22.52 tff(13260,plain,
% 33.89/22.52 (v26(constB87) | (~v130(constB87, bitIndex2))),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13259, 1592, 13256])).
% 33.89/22.52 tff(13261,plain,
% 33.89/22.52 (~v130(constB87, bitIndex2)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13260, 13246])).
% 33.89/22.52 tff(13262,plain,
% 33.89/22.52 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB87)) | v130(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB87)) | v130(constB87, bitIndex2))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13263,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB87)) | v130(constB87, bitIndex2))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13264,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB87)) | v130(constB87, bitIndex2)),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13263, 13262])).
% 33.89/22.52 tff(13265,plain,
% 33.89/22.52 (~v122(constB87)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13264, 1578, 13261])).
% 33.89/22.52 tff(13266,plain,
% 33.89/22.52 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB87)) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB87)) | v130(constB87, bitIndex0))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13267,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB87)) | v130(constB87, bitIndex0))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13268,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB87)) | v130(constB87, bitIndex0)),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13267, 13266])).
% 33.89/22.52 tff(13269,plain,
% 33.89/22.52 (~v121(constB87)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13268, 1445, 13251])).
% 33.89/22.52 tff(13270,plain,
% 33.89/22.52 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB87)) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB87)) | v130(constB87, bitIndex0))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13271,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB87)) | v130(constB87, bitIndex0))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13272,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB87)) | v130(constB87, bitIndex0)),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13271, 13270])).
% 33.89/22.52 tff(13273,plain,
% 33.89/22.52 (~v119(constB87)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13272, 841, 13251])).
% 33.89/22.52 tff(13274,assumption,(~v127(constB87, bitIndex1)), introduced(assumption)).
% 33.89/22.52 tff(13275,plain,
% 33.89/22.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13276,plain,
% 33.89/22.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13277,plain,
% 33.89/22.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1)),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13276, 13275])).
% 33.89/22.52 tff(13278,plain,
% 33.89/22.52 (v26(constB87) | (~v130(constB87, bitIndex1))),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13277, 1101, 13274])).
% 33.89/22.52 tff(13279,plain,
% 33.89/22.52 (~v130(constB87, bitIndex1)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13278, 13246])).
% 33.89/22.52 tff(13280,plain,
% 33.89/22.52 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB87)) | v130(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB87)) | v130(constB87, bitIndex1))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13281,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB87)) | v130(constB87, bitIndex1))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13282,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB87)) | v130(constB87, bitIndex1)),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13281, 13280])).
% 33.89/22.52 tff(13283,plain,
% 33.89/22.52 (~v124(constB87)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13282, 2145, 13279])).
% 33.89/22.52 tff(13284,plain,
% 33.89/22.52 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1))),
% 33.89/22.52 inference(rewrite,[status(thm)],[])).
% 33.89/22.52 tff(13285,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))),
% 33.89/22.52 inference(quant_inst,[status(thm)],[])).
% 33.89/22.52 tff(13286,plain,
% 33.89/22.52 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1)),
% 33.89/22.52 inference(modus_ponens,[status(thm)],[13285, 13284])).
% 33.89/22.52 tff(13287,plain,
% 33.89/22.52 (~v120(constB87)),
% 33.89/22.52 inference(unit_resolution,[status(thm)],[13286, 1087, 13279])).
% 33.89/22.52 tff(13288,plain,
% 33.89/22.52 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB87, bitIndex0) | v124(constB87) | v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB87, bitIndex0) | v124(constB87) | v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87))),
% 33.93/22.52 inference(rewrite,[status(thm)],[])).
% 33.93/22.52 tff(13289,plain,
% 33.93/22.52 ((v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, bitIndex0)) <=> (v130(constB87, bitIndex0) | v124(constB87) | v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87))),
% 33.93/22.52 inference(rewrite,[status(thm)],[])).
% 33.93/22.52 tff(13290,plain,
% 33.93/22.52 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB87, bitIndex0) | v124(constB87) | v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87)))),
% 33.93/22.52 inference(monotonicity,[status(thm)],[13289])).
% 33.93/22.52 tff(13291,plain,
% 33.93/22.52 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB87, bitIndex0) | v124(constB87) | v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87))),
% 33.93/22.52 inference(transitivity,[status(thm)],[13290, 13288])).
% 33.93/22.52 tff(13292,plain,
% 33.93/22.52 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, bitIndex0))),
% 33.93/22.52 inference(quant_inst,[status(thm)],[])).
% 33.93/22.52 tff(13293,plain,
% 33.93/22.52 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB87, bitIndex0) | v124(constB87) | v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87)),
% 33.93/22.52 inference(modus_ponens,[status(thm)],[13292, 13291])).
% 33.93/22.52 tff(13294,plain,
% 33.93/22.52 (v124(constB87) | v120(constB87) | v119(constB87) | v121(constB87) | v122(constB87) | v123(constB87)),
% 33.93/22.52 inference(unit_resolution,[status(thm)],[13293, 2495, 13251])).
% 33.93/22.52 tff(13295,plain,
% 33.93/22.52 ($false),
% 33.93/22.52 inference(unit_resolution,[status(thm)],[13294, 13287, 13283, 13273, 13269, 13265, 13255])).
% 33.93/22.52 tff(13296,plain,(v26(constB87) | v127(constB87, bitIndex2) | v127(constB87, bitIndex1) | v127(constB87, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 33.93/22.52 tff(13297,plain,
% 33.93/22.52 (v127(constB87, bitIndex1)),
% 33.93/22.52 inference(unit_resolution,[status(thm)],[13296, 13245, 12556, 13231])).
% 33.93/22.52 tff(13298,assumption,(~v90(constB89, bitIndex0)), introduced(assumption)).
% 33.93/22.52 tff(13299,plain,
% 33.93/22.52 (~v90(constB89, bitIndex1)),
% 33.93/22.52 inference(unit_resolution,[status(thm)],[12735, 12731, 13298])).
% 33.93/22.52 tff(13300,plain,
% 33.93/22.52 (~v90(constB88, bitIndex1)),
% 33.93/22.52 inference(unit_resolution,[status(thm)],[12744, 13299])).
% 33.93/22.52 tff(13301,plain,
% 33.93/22.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 33.93/22.52 inference(rewrite,[status(thm)],[])).
% 33.93/22.52 tff(13302,plain,
% 33.93/22.52 ((v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1))) <=> (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13303,plain,
% 33.93/22.53 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))))),
% 33.93/22.53 inference(monotonicity,[status(thm)],[13302])).
% 33.93/22.53 tff(13304,plain,
% 33.93/22.53 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 33.93/22.53 inference(transitivity,[status(thm)],[13303, 13301])).
% 33.93/22.53 tff(13305,plain,
% 33.93/22.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13306,plain,
% 33.93/22.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13305, 13304])).
% 33.93/22.53 tff(13307,plain,
% 33.93/22.53 (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1))),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13306, 1131, 13232])).
% 33.93/22.53 tff(13308,plain,
% 33.93/22.53 (~v129(constB88, bitIndex1)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13307, 13300])).
% 33.93/22.53 tff(13309,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13310,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13311,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13310, 13309])).
% 33.93/22.53 tff(13312,plain,
% 33.93/22.53 ((~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13311, 1116, 12508])).
% 33.93/22.53 tff(13313,plain,
% 33.93/22.53 ($false),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13312, 13308, 13297])).
% 33.93/22.53 tff(13314,plain,(v90(constB88, bitIndex2) | (~v100(constB88)) | v127(constB87, bitIndex0) | v90(constB89, bitIndex0) | v121(constB89)), inference(lemma,lemma(discharge,[]))).
% 33.93/22.53 tff(13315,plain,
% 33.93/22.53 (v121(constB89)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13314, 13230, 13191, 13205, 12961])).
% 33.93/22.53 tff(13316,plain,
% 33.93/22.53 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB89) | (~v121(constB89)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB89) | (~v121(constB89)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13317,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB89) | (~v121(constB89)))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13318,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB89) | (~v121(constB89))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13317, 13316])).
% 33.93/22.53 tff(13319,plain,
% 33.93/22.53 (v117(constB89)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13318, 1253, 13315])).
% 33.93/22.53 tff(13320,plain,
% 33.93/22.53 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB89) | (~v117(constB89)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB89) | (~v117(constB89)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13321,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB89) | (~v117(constB89)))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13322,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB89) | (~v117(constB89))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13321, 13320])).
% 33.93/22.53 tff(13323,plain,
% 33.93/22.53 (v116(constB89)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13322, 509, 13319])).
% 33.93/22.53 tff(13324,plain,
% 33.93/22.53 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB89) | (~v116(constB89)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB89) | (~v116(constB89)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13325,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB89) | (~v116(constB89)))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13326,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB89) | (~v116(constB89))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13325, 13324])).
% 33.93/22.53 tff(13327,plain,
% 33.93/22.53 (v115(constB89)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13326, 520, 13323])).
% 33.93/22.53 tff(13328,plain,
% 33.93/22.53 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB89) | (~v115(constB89)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13329,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB89) | (~v115(constB89)))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13330,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB89) | (~v115(constB89))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13329, 13328])).
% 33.93/22.53 tff(13331,plain,
% 33.93/22.53 (v114(constB89)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13330, 531, 13327])).
% 33.93/22.53 tff(13332,plain,
% 33.93/22.53 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB89) | (~v114(constB89)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB89) | (~v114(constB89)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13333,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB89) | (~v114(constB89)))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13334,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB89) | (~v114(constB89))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13333, 13332])).
% 33.93/22.53 tff(13335,plain,
% 33.93/22.53 (v113(constB89)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13334, 542, 13331])).
% 33.93/22.53 tff(13336,assumption,(v26(constB89)), introduced(assumption)).
% 33.93/22.53 tff(13337,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB89))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13338,plain,
% 33.93/22.53 ($false),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13337, 120, 13336])).
% 33.93/22.53 tff(13339,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 33.93/22.53 tff(13340,plain,
% 33.93/22.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13341,plain,
% 33.93/22.53 ((v26(constB89) | (~v113(constB89)) | v112(constB89)) <=> (v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13342,plain,
% 33.93/22.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89))))),
% 33.93/22.53 inference(monotonicity,[status(thm)],[13341])).
% 33.93/22.53 tff(13343,plain,
% 33.93/22.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 33.93/22.53 inference(transitivity,[status(thm)],[13342, 13340])).
% 33.93/22.53 tff(13344,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13345,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13344, 13343])).
% 33.93/22.53 tff(13346,plain,
% 33.93/22.53 (v112(constB89) | (~v113(constB89))),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13345, 556, 13339])).
% 33.93/22.53 tff(13347,plain,
% 33.93/22.53 (v112(constB89)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13346, 13335])).
% 33.93/22.53 tff(13348,plain,
% 33.93/22.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB89) | (~v112(constB89)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13349,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB89) | (~v112(constB89)))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13350,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB89) | (~v112(constB89))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13349, 13348])).
% 33.93/22.53 tff(13351,plain,
% 33.93/22.53 (v108(constB89)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13350, 568, 13347])).
% 33.93/22.53 tff(13352,plain,
% 33.93/22.53 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13353,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 33.93/22.53 tff(13354,plain,
% 33.93/22.53 (nextState(constB89, constB90)),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13353, 13352])).
% 33.93/22.53 tff(13355,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13356,plain,
% 33.93/22.53 (((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90)) <=> ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13357,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))))),
% 33.93/22.53 inference(monotonicity,[status(thm)],[13356])).
% 33.93/22.53 tff(13358,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 33.93/22.53 inference(transitivity,[status(thm)],[13357, 13355])).
% 33.93/22.53 tff(13359,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13360,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13359, 13358])).
% 33.93/22.53 tff(13361,plain,
% 33.93/22.53 (v110(constB90) | (~v108(constB89))),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13360, 585, 13354])).
% 33.93/22.53 tff(13362,plain,
% 33.93/22.53 (v110(constB90)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13361, 13351])).
% 33.93/22.53 tff(13363,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13364,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13365,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13364, 13363])).
% 33.93/22.53 tff(13366,plain,
% 33.93/22.53 (~v104(constB90)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13365, 603, 13354, 12648])).
% 33.93/22.53 tff(13367,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13368,plain,
% 33.93/22.53 (((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90)) <=> ((~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13369,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | v102(constB90)))),
% 33.93/22.53 inference(monotonicity,[status(thm)],[13368])).
% 33.93/22.53 tff(13370,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))),
% 33.93/22.53 inference(transitivity,[status(thm)],[13369, 13367])).
% 33.93/22.53 tff(13371,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13372,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | v102(constB90)),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13371, 13370])).
% 33.93/22.53 tff(13373,plain,
% 33.93/22.53 (v104(constB90) | v102(constB90)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13372, 617, 13354])).
% 33.93/22.53 tff(13374,plain,
% 33.93/22.53 (v102(constB90)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13373, 13366])).
% 33.93/22.53 tff(13375,plain,
% 33.93/22.53 (v1(constB90) <=> v1(constB90)),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13376,axiom,(v1(constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 33.93/22.53 tff(13377,plain,
% 33.93/22.53 (v1(constB90)),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13376, 13375])).
% 33.93/22.53 tff(13378,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13379,plain,
% 33.93/22.53 (((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90))) <=> ((~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13380,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90))))),
% 33.93/22.53 inference(monotonicity,[status(thm)],[13379])).
% 33.93/22.53 tff(13381,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))),
% 33.93/22.53 inference(transitivity,[status(thm)],[13380, 13378])).
% 33.93/22.53 tff(13382,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13383,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13382, 13381])).
% 33.93/22.53 tff(13384,plain,
% 33.93/22.53 (v101(constB90) | (~v102(constB90))),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13383, 638, 13354, 13377])).
% 33.93/22.53 tff(13385,plain,
% 33.93/22.53 (v101(constB90)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13384, 13374])).
% 33.93/22.53 tff(13386,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13387,plain,
% 33.93/22.53 (((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90)) <=> ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13388,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))))),
% 33.93/22.53 inference(monotonicity,[status(thm)],[13387])).
% 33.93/22.53 tff(13389,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 33.93/22.53 inference(transitivity,[status(thm)],[13388, 13386])).
% 33.93/22.53 tff(13390,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13391,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13390, 13389])).
% 33.93/22.53 tff(13392,plain,
% 33.93/22.53 (v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13391, 656, 13354])).
% 33.93/22.53 tff(13393,plain,
% 33.93/22.53 (v100(constB90) | (~v110(constB90))),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13392, 13385])).
% 33.93/22.53 tff(13394,plain,
% 33.93/22.53 (v100(constB90)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13393, 13362])).
% 33.93/22.53 tff(13395,plain,
% 33.93/22.53 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13396,plain,
% 33.93/22.53 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13397,plain,
% 33.93/22.53 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13396, 13395])).
% 33.93/22.53 tff(13398,plain,
% 33.93/22.53 (~v130(constB89, bitIndex2)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13397, 1342, 13315])).
% 33.93/22.53 tff(13399,plain,
% 33.93/22.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13400,plain,
% 33.93/22.53 ((v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2))) <=> ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13401,plain,
% 33.93/22.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)))),
% 33.93/22.53 inference(monotonicity,[status(thm)],[13400])).
% 33.93/22.53 tff(13402,plain,
% 33.93/22.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 33.93/22.53 inference(transitivity,[status(thm)],[13401, 13399])).
% 33.93/22.53 tff(13403,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13404,plain,
% 33.93/22.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13403, 13402])).
% 33.93/22.53 tff(13405,plain,
% 33.93/22.53 ((~v127(constB89, bitIndex2)) | v130(constB89, bitIndex2)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13404, 689, 13339])).
% 33.93/22.53 tff(13406,plain,
% 33.93/22.53 (~v127(constB89, bitIndex2)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13405, 13398])).
% 33.93/22.53 tff(13407,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13408,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13409,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13408, 13407])).
% 33.93/22.53 tff(13410,plain,
% 33.93/22.53 (v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13409, 707, 13354])).
% 33.93/22.53 tff(13411,plain,
% 33.93/22.53 (~v129(constB90, bitIndex2)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13410, 13406])).
% 33.93/22.53 tff(13412,plain,
% 33.93/22.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13413,plain,
% 33.93/22.53 (((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2)) <=> ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13414,plain,
% 33.93/22.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90))))),
% 33.93/22.53 inference(monotonicity,[status(thm)],[13413])).
% 33.93/22.53 tff(13415,plain,
% 33.93/22.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 33.93/22.53 inference(transitivity,[status(thm)],[13414, 13412])).
% 33.93/22.53 tff(13416,plain,
% 33.93/22.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13417,plain,
% 33.93/22.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13416, 13415])).
% 33.93/22.53 tff(13418,plain,
% 33.93/22.53 ((~v90(constB90, bitIndex2)) | (~v100(constB90))),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13417, 722, 13411])).
% 33.93/22.53 tff(13419,plain,
% 33.93/22.53 (~v90(constB90, bitIndex2)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13418, 13394])).
% 33.93/22.53 tff(13420,plain,
% 33.93/22.53 ((~v1(constB91)) <=> (~v1(constB91))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13421,axiom,(~v1(constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 33.93/22.53 tff(13422,plain,
% 33.93/22.53 (~v1(constB91)),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13421, 13420])).
% 33.93/22.53 tff(13423,plain,
% 33.93/22.53 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13424,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 33.93/22.53 tff(13425,plain,
% 33.93/22.53 (nextState(constB90, constB91)),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13424, 13423])).
% 33.93/22.53 tff(13426,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13427,plain,
% 33.93/22.53 (((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13428,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))))),
% 33.93/22.53 inference(monotonicity,[status(thm)],[13427])).
% 33.93/22.53 tff(13429,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 33.93/22.53 inference(transitivity,[status(thm)],[13428, 13426])).
% 33.93/22.53 tff(13430,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13431,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13430, 13429])).
% 33.93/22.53 tff(13432,plain,
% 33.93/22.53 (~v101(constB91)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13431, 381, 13425, 13422])).
% 33.93/22.53 tff(13433,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13434,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 33.93/22.53 inference(quant_inst,[status(thm)],[])).
% 33.93/22.53 tff(13435,plain,
% 33.93/22.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91))),
% 33.93/22.53 inference(modus_ponens,[status(thm)],[13434, 13433])).
% 33.93/22.53 tff(13436,plain,
% 33.93/22.53 (v101(constB91) | (~v100(constB91))),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13435, 398, 13425])).
% 33.93/22.53 tff(13437,plain,
% 33.93/22.53 (~v100(constB91)),
% 33.93/22.53 inference(unit_resolution,[status(thm)],[13436, 13432])).
% 33.93/22.53 tff(13438,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13439,plain,
% 33.93/22.53 (((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))) <=> (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 33.93/22.53 inference(rewrite,[status(thm)],[])).
% 33.93/22.53 tff(13440,plain,
% 33.93/22.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2))))),
% 33.93/22.54 inference(monotonicity,[status(thm)],[13439])).
% 33.93/22.54 tff(13441,plain,
% 33.93/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 33.93/22.54 inference(transitivity,[status(thm)],[13440, 13438])).
% 33.93/22.54 tff(13442,plain,
% 33.93/22.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13443,plain,
% 33.93/22.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13442, 13441])).
% 33.93/22.54 tff(13444,plain,
% 33.93/22.54 (v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13443, 413, 13425])).
% 33.93/22.54 tff(13445,plain,
% 33.93/22.54 (v90(constB90, bitIndex2) | (~v90(constB91, bitIndex2))),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13444, 13437])).
% 33.93/22.54 tff(13446,plain,
% 33.93/22.54 (~v90(constB91, bitIndex2)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13445, 13419])).
% 33.93/22.54 tff(13447,plain,
% 33.93/22.54 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13448,plain,
% 33.93/22.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13449,plain,
% 33.93/22.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1)),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13448, 13447])).
% 33.93/22.54 tff(13450,plain,
% 33.93/22.54 (v130(constB89, bitIndex1)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13449, 1404, 13315])).
% 33.93/22.54 tff(13451,plain,
% 33.93/22.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13452,plain,
% 33.93/22.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13453,plain,
% 33.93/22.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13452, 13451])).
% 33.93/22.54 tff(13454,plain,
% 33.93/22.54 ((~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13453, 1101, 13339])).
% 33.93/22.54 tff(13455,plain,
% 33.93/22.54 (v127(constB89, bitIndex1)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13454, 13450])).
% 33.93/22.54 tff(13456,plain,
% 33.93/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13457,plain,
% 33.93/22.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13458,plain,
% 33.93/22.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13457, 13456])).
% 33.93/22.54 tff(13459,plain,
% 33.93/22.54 ((~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13458, 1116, 13354])).
% 33.93/22.54 tff(13460,plain,
% 33.93/22.54 (v129(constB90, bitIndex1)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13459, 13455])).
% 33.93/22.54 tff(13461,plain,
% 33.93/22.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13462,plain,
% 33.93/22.54 ((v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1))) <=> (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13463,plain,
% 33.93/22.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))))),
% 33.93/22.54 inference(monotonicity,[status(thm)],[13462])).
% 33.93/22.54 tff(13464,plain,
% 33.93/22.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 33.93/22.54 inference(transitivity,[status(thm)],[13463, 13461])).
% 33.93/22.54 tff(13465,plain,
% 33.93/22.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13466,plain,
% 33.93/22.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13465, 13464])).
% 33.93/22.54 tff(13467,plain,
% 33.93/22.54 (v90(constB90, bitIndex1) | (~v100(constB90))),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13466, 1131, 13460])).
% 33.93/22.54 tff(13468,plain,
% 33.93/22.54 (v90(constB90, bitIndex1)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13467, 13394])).
% 33.93/22.54 tff(13469,plain,
% 33.93/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13470,plain,
% 33.93/22.54 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)) <=> ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13471,plain,
% 33.93/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1)))),
% 33.93/22.54 inference(monotonicity,[status(thm)],[13470])).
% 33.93/22.54 tff(13472,plain,
% 33.93/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 33.93/22.54 inference(transitivity,[status(thm)],[13471, 13469])).
% 33.93/22.54 tff(13473,plain,
% 33.93/22.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13474,plain,
% 33.93/22.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1)),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13473, 13472])).
% 33.93/22.54 tff(13475,plain,
% 33.93/22.54 ((~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13474, 1149, 13425])).
% 33.93/22.54 tff(13476,plain,
% 33.93/22.54 ((~v90(constB90, bitIndex1)) | v90(constB91, bitIndex1)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13475, 13437])).
% 33.93/22.54 tff(13477,plain,
% 33.93/22.54 (v90(constB91, bitIndex1)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13476, 13468])).
% 33.93/22.54 tff(13478,plain,
% 33.93/22.54 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13479,plain,
% 33.93/22.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13480,plain,
% 33.93/22.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0)),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13479, 13478])).
% 33.93/22.54 tff(13481,plain,
% 33.93/22.54 (v130(constB89, bitIndex0)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13480, 1445, 13315])).
% 33.93/22.54 tff(13482,plain,
% 33.93/22.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13483,plain,
% 33.93/22.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13484,plain,
% 33.93/22.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13483, 13482])).
% 33.93/22.54 tff(13485,plain,
% 33.93/22.54 ((~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13484, 855, 13339])).
% 33.93/22.54 tff(13486,plain,
% 33.93/22.54 (v127(constB89, bitIndex0)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13485, 13481])).
% 33.93/22.54 tff(13487,plain,
% 33.93/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13488,plain,
% 33.93/22.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13489,plain,
% 33.93/22.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13488, 13487])).
% 33.93/22.54 tff(13490,plain,
% 33.93/22.54 ((~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13489, 870, 13354])).
% 33.93/22.54 tff(13491,plain,
% 33.93/22.54 (v129(constB90, bitIndex0)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13490, 13486])).
% 33.93/22.54 tff(13492,plain,
% 33.93/22.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13493,plain,
% 33.93/22.54 ((v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0))) <=> (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13494,plain,
% 33.93/22.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))))),
% 33.93/22.54 inference(monotonicity,[status(thm)],[13493])).
% 33.93/22.54 tff(13495,plain,
% 33.93/22.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 33.93/22.54 inference(transitivity,[status(thm)],[13494, 13492])).
% 33.93/22.54 tff(13496,plain,
% 33.93/22.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13497,plain,
% 33.93/22.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13496, 13495])).
% 33.93/22.54 tff(13498,plain,
% 33.93/22.54 (v90(constB90, bitIndex0) | (~v100(constB90))),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13497, 885, 13491])).
% 33.93/22.54 tff(13499,plain,
% 33.93/22.54 (v90(constB90, bitIndex0)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13498, 13394])).
% 33.93/22.54 tff(13500,plain,
% 33.93/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13501,plain,
% 33.93/22.54 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)) <=> ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13502,plain,
% 33.93/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0)))),
% 33.93/22.54 inference(monotonicity,[status(thm)],[13501])).
% 33.93/22.54 tff(13503,plain,
% 33.93/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 33.93/22.54 inference(transitivity,[status(thm)],[13502, 13500])).
% 33.93/22.54 tff(13504,plain,
% 33.93/22.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13505,plain,
% 33.93/22.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0)),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13504, 13503])).
% 33.93/22.54 tff(13506,plain,
% 33.93/22.54 ((~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13505, 903, 13425])).
% 33.93/22.54 tff(13507,plain,
% 33.93/22.54 ((~v90(constB90, bitIndex0)) | v90(constB91, bitIndex0)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13506, 13437])).
% 33.93/22.54 tff(13508,plain,
% 33.93/22.54 (v90(constB91, bitIndex0)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13507, 13499])).
% 33.93/22.54 tff(13509,plain,
% 33.93/22.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13510,plain,
% 33.93/22.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13511,plain,
% 33.93/22.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91)),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13510, 13509])).
% 33.93/22.54 tff(13512,plain,
% 33.93/22.54 (v122(constB91)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13511, 1486, 13508, 13477, 13446])).
% 33.93/22.54 tff(13513,plain,
% 33.93/22.54 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB91) | (~v122(constB91)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB91) | (~v122(constB91)))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13514,plain,
% 33.93/22.54 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB91) | (~v122(constB91)))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13515,plain,
% 33.93/22.54 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB91) | (~v122(constB91))),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13514, 13513])).
% 33.93/22.54 tff(13516,plain,
% 33.93/22.54 (v116(constB91)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13515, 1497, 13512])).
% 33.93/22.54 tff(13517,plain,
% 33.93/22.54 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB91) | (~v116(constB91)))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13518,plain,
% 33.93/22.54 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB91) | (~v116(constB91)))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13519,plain,
% 33.93/22.54 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB91) | (~v116(constB91))),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13518, 13517])).
% 33.93/22.54 tff(13520,plain,
% 33.93/22.54 (v115(constB91)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13519, 520, 13516])).
% 33.93/22.54 tff(13521,plain,
% 33.93/22.54 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB91) | (~v115(constB91)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB91) | (~v115(constB91)))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13522,plain,
% 33.93/22.54 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB91) | (~v115(constB91)))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13523,plain,
% 33.93/22.54 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB91) | (~v115(constB91))),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13522, 13521])).
% 33.93/22.54 tff(13524,plain,
% 33.93/22.54 (v114(constB91)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13523, 531, 13520])).
% 33.93/22.54 tff(13525,plain,
% 33.93/22.54 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB91) | (~v114(constB91)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB91) | (~v114(constB91)))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13526,plain,
% 33.93/22.54 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB91) | (~v114(constB91)))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13527,plain,
% 33.93/22.54 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB91) | (~v114(constB91))),
% 33.93/22.54 inference(modus_ponens,[status(thm)],[13526, 13525])).
% 33.93/22.54 tff(13528,plain,
% 33.93/22.54 (v113(constB91)),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13527, 542, 13524])).
% 33.93/22.54 tff(13529,assumption,(v26(constB91)), introduced(assumption)).
% 33.93/22.54 tff(13530,plain,
% 33.93/22.54 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB91))),
% 33.93/22.54 inference(quant_inst,[status(thm)],[])).
% 33.93/22.54 tff(13531,plain,
% 33.93/22.54 ($false),
% 33.93/22.54 inference(unit_resolution,[status(thm)],[13530, 120, 13529])).
% 33.93/22.54 tff(13532,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 33.93/22.54 tff(13533,plain,
% 33.93/22.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | v112(constB91) | (~v113(constB91)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13534,plain,
% 33.93/22.54 ((v26(constB91) | (~v113(constB91)) | v112(constB91)) <=> (v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 33.93/22.54 inference(rewrite,[status(thm)],[])).
% 33.93/22.54 tff(13535,plain,
% 33.93/22.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | v112(constB91) | (~v113(constB91))))),
% 33.95/22.54 inference(monotonicity,[status(thm)],[13534])).
% 33.95/22.54 tff(13536,plain,
% 33.95/22.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 33.95/22.54 inference(transitivity,[status(thm)],[13535, 13533])).
% 33.95/22.54 tff(13537,plain,
% 33.95/22.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 33.95/22.54 inference(quant_inst,[status(thm)],[])).
% 33.95/22.54 tff(13538,plain,
% 33.95/22.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91))),
% 33.95/22.54 inference(modus_ponens,[status(thm)],[13537, 13536])).
% 33.95/22.54 tff(13539,plain,
% 33.95/22.54 (v112(constB91) | (~v113(constB91))),
% 33.95/22.54 inference(unit_resolution,[status(thm)],[13538, 556, 13532])).
% 33.95/22.54 tff(13540,plain,
% 33.95/22.54 (v112(constB91)),
% 33.95/22.54 inference(unit_resolution,[status(thm)],[13539, 13528])).
% 33.95/22.54 tff(13541,plain,
% 33.95/22.54 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB91) | (~v112(constB91)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB91) | (~v112(constB91)))),
% 33.95/22.54 inference(rewrite,[status(thm)],[])).
% 33.95/22.54 tff(13542,plain,
% 33.95/22.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB91) | (~v112(constB91)))),
% 33.95/22.54 inference(quant_inst,[status(thm)],[])).
% 33.95/22.54 tff(13543,plain,
% 33.95/22.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB91) | (~v112(constB91))),
% 33.95/22.54 inference(modus_ponens,[status(thm)],[13542, 13541])).
% 33.95/22.54 tff(13544,plain,
% 33.95/22.54 (v108(constB91)),
% 33.95/22.54 inference(unit_resolution,[status(thm)],[13543, 568, 13540])).
% 33.95/22.54 tff(13545,plain,
% 33.95/22.54 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 33.95/22.54 inference(rewrite,[status(thm)],[])).
% 33.95/22.54 tff(13546,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 33.95/22.54 tff(13547,plain,
% 33.95/22.54 (nextState(constB91, constB92)),
% 33.95/22.54 inference(modus_ponens,[status(thm)],[13546, 13545])).
% 33.95/22.54 tff(13548,plain,
% 33.95/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 33.95/22.54 inference(rewrite,[status(thm)],[])).
% 33.95/22.54 tff(13549,plain,
% 33.95/22.54 (((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92)) <=> ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 33.95/22.54 inference(rewrite,[status(thm)],[])).
% 33.95/22.54 tff(13550,plain,
% 33.95/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))))),
% 33.95/22.54 inference(monotonicity,[status(thm)],[13549])).
% 33.95/22.54 tff(13551,plain,
% 33.95/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 33.95/22.54 inference(transitivity,[status(thm)],[13550, 13548])).
% 33.95/22.54 tff(13552,plain,
% 33.95/22.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))),
% 33.95/22.54 inference(quant_inst,[status(thm)],[])).
% 33.95/22.54 tff(13553,plain,
% 33.95/22.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))),
% 33.95/22.54 inference(modus_ponens,[status(thm)],[13552, 13551])).
% 33.95/22.54 tff(13554,plain,
% 33.95/22.54 (v110(constB92) | (~v108(constB91))),
% 33.95/22.54 inference(unit_resolution,[status(thm)],[13553, 585, 13547])).
% 33.95/22.54 tff(13555,plain,
% 33.95/22.54 (v110(constB92)),
% 33.95/22.54 inference(unit_resolution,[status(thm)],[13554, 13544])).
% 33.95/22.54 tff(13556,plain,
% 33.95/22.54 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 33.95/22.54 inference(rewrite,[status(thm)],[])).
% 33.95/22.54 tff(13557,plain,
% 33.95/22.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 33.95/22.54 inference(quant_inst,[status(thm)],[])).
% 33.95/22.54 tff(13558,plain,
% 33.95/22.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92))),
% 33.95/22.54 inference(modus_ponens,[status(thm)],[13557, 13556])).
% 33.95/22.54 tff(13559,plain,
% 33.95/22.54 (~v104(constB92)),
% 33.95/22.54 inference(unit_resolution,[status(thm)],[13558, 603, 13547, 13422])).
% 33.95/22.54 tff(13560,plain,
% 33.95/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))),
% 33.95/22.54 inference(rewrite,[status(thm)],[])).
% 33.95/22.54 tff(13561,plain,
% 33.95/22.54 (((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92)) <=> ((~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))),
% 33.95/22.54 inference(rewrite,[status(thm)],[])).
% 33.95/22.54 tff(13562,plain,
% 33.95/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | v102(constB92)))),
% 33.95/22.54 inference(monotonicity,[status(thm)],[13561])).
% 33.95/22.54 tff(13563,plain,
% 33.95/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))),
% 33.95/22.54 inference(transitivity,[status(thm)],[13562, 13560])).
% 33.95/22.54 tff(13564,plain,
% 33.95/22.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 33.95/22.54 inference(quant_inst,[status(thm)],[])).
% 33.95/22.54 tff(13565,plain,
% 33.95/22.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | v102(constB92)),
% 33.95/22.54 inference(modus_ponens,[status(thm)],[13564, 13563])).
% 33.95/22.54 tff(13566,plain,
% 33.95/22.54 (v104(constB92) | v102(constB92)),
% 33.95/22.54 inference(unit_resolution,[status(thm)],[13565, 617, 13547])).
% 33.95/22.54 tff(13567,plain,
% 33.95/22.54 (v102(constB92)),
% 33.95/22.54 inference(unit_resolution,[status(thm)],[13566, 13559])).
% 33.95/22.54 tff(13568,plain,
% 33.95/22.54 (v1(constB92) <=> v1(constB92)),
% 33.95/22.54 inference(rewrite,[status(thm)],[])).
% 33.95/22.54 tff(13569,axiom,(v1(constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 33.95/22.54 tff(13570,plain,
% 33.95/22.54 (v1(constB92)),
% 33.95/22.54 inference(modus_ponens,[status(thm)],[13569, 13568])).
% 33.95/22.54 tff(13571,plain,
% 33.95/22.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13572,plain,
% 33.95/22.55 (((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92))) <=> ((~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13573,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92))))),
% 33.95/22.55 inference(monotonicity,[status(thm)],[13572])).
% 33.95/22.55 tff(13574,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))),
% 33.95/22.55 inference(transitivity,[status(thm)],[13573, 13571])).
% 33.95/22.55 tff(13575,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 33.95/22.55 inference(quant_inst,[status(thm)],[])).
% 33.95/22.55 tff(13576,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92))),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13575, 13574])).
% 33.95/22.55 tff(13577,plain,
% 33.95/22.55 (v101(constB92) | (~v102(constB92))),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13576, 638, 13547, 13570])).
% 33.95/22.55 tff(13578,plain,
% 33.95/22.55 (v101(constB92)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13577, 13567])).
% 33.95/22.55 tff(13579,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13580,plain,
% 33.95/22.55 (((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92)) <=> ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13581,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))))),
% 33.95/22.55 inference(monotonicity,[status(thm)],[13580])).
% 33.95/22.55 tff(13582,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 33.95/22.55 inference(transitivity,[status(thm)],[13581, 13579])).
% 33.95/22.55 tff(13583,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))),
% 33.95/22.55 inference(quant_inst,[status(thm)],[])).
% 33.95/22.55 tff(13584,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13583, 13582])).
% 33.95/22.55 tff(13585,plain,
% 33.95/22.55 (v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13584, 656, 13547])).
% 33.95/22.55 tff(13586,plain,
% 33.95/22.55 (v100(constB92) | (~v110(constB92))),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13585, 13578])).
% 33.95/22.55 tff(13587,plain,
% 33.95/22.55 (v100(constB92)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13586, 13555])).
% 33.95/22.55 tff(13588,plain,
% 33.95/22.55 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13589,plain,
% 33.95/22.55 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 33.95/22.55 inference(quant_inst,[status(thm)],[])).
% 33.95/22.55 tff(13590,plain,
% 33.95/22.55 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0))),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13589, 13588])).
% 33.95/22.55 tff(13591,plain,
% 33.95/22.55 (~v130(constB91, bitIndex0)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13590, 1721, 13512])).
% 33.95/22.55 tff(13592,plain,
% 33.95/22.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13593,plain,
% 33.95/22.55 ((v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0))) <=> ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13594,plain,
% 33.95/22.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)))),
% 33.95/22.55 inference(monotonicity,[status(thm)],[13593])).
% 33.95/22.55 tff(13595,plain,
% 33.95/22.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 33.95/22.55 inference(transitivity,[status(thm)],[13594, 13592])).
% 33.95/22.55 tff(13596,plain,
% 33.95/22.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))),
% 33.95/22.55 inference(quant_inst,[status(thm)],[])).
% 33.95/22.55 tff(13597,plain,
% 33.95/22.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13596, 13595])).
% 33.95/22.55 tff(13598,plain,
% 33.95/22.55 ((~v127(constB91, bitIndex0)) | v130(constB91, bitIndex0)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13597, 1182, 13532])).
% 33.95/22.55 tff(13599,plain,
% 33.95/22.55 (~v127(constB91, bitIndex0)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13598, 13591])).
% 33.95/22.55 tff(13600,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13601,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 33.95/22.55 inference(quant_inst,[status(thm)],[])).
% 33.95/22.55 tff(13602,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13601, 13600])).
% 33.95/22.55 tff(13603,plain,
% 33.95/22.55 (v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13602, 1200, 13547])).
% 33.95/22.55 tff(13604,plain,
% 33.95/22.55 (~v129(constB92, bitIndex0)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13603, 13599])).
% 33.95/22.55 tff(13605,plain,
% 33.95/22.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13606,plain,
% 33.95/22.55 (((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0)) <=> ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13607,plain,
% 33.95/22.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))))),
% 33.95/22.55 inference(monotonicity,[status(thm)],[13606])).
% 33.95/22.55 tff(13608,plain,
% 33.95/22.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 33.95/22.55 inference(transitivity,[status(thm)],[13607, 13605])).
% 33.95/22.55 tff(13609,plain,
% 33.95/22.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))),
% 33.95/22.55 inference(quant_inst,[status(thm)],[])).
% 33.95/22.55 tff(13610,plain,
% 33.95/22.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13609, 13608])).
% 33.95/22.55 tff(13611,plain,
% 33.95/22.55 ((~v90(constB92, bitIndex0)) | (~v100(constB92))),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13610, 1215, 13604])).
% 33.95/22.55 tff(13612,plain,
% 33.95/22.55 (~v90(constB92, bitIndex0)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13611, 13587])).
% 33.95/22.55 tff(13613,plain,
% 33.95/22.55 ((~v1(constB93)) <=> (~v1(constB93))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13614,axiom,(~v1(constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 33.95/22.55 tff(13615,plain,
% 33.95/22.55 (~v1(constB93)),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13614, 13613])).
% 33.95/22.55 tff(13616,plain,
% 33.95/22.55 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13617,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 33.95/22.55 tff(13618,plain,
% 33.95/22.55 (nextState(constB92, constB93)),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13617, 13616])).
% 33.95/22.55 tff(13619,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13620,plain,
% 33.95/22.55 (((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13621,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))))),
% 33.95/22.55 inference(monotonicity,[status(thm)],[13620])).
% 33.95/22.55 tff(13622,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 33.95/22.55 inference(transitivity,[status(thm)],[13621, 13619])).
% 33.95/22.55 tff(13623,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))),
% 33.95/22.55 inference(quant_inst,[status(thm)],[])).
% 33.95/22.55 tff(13624,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13623, 13622])).
% 33.95/22.55 tff(13625,plain,
% 33.95/22.55 (~v101(constB93)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13624, 381, 13618, 13615])).
% 33.95/22.55 tff(13626,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13627,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 33.95/22.55 inference(quant_inst,[status(thm)],[])).
% 33.95/22.55 tff(13628,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93))),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13627, 13626])).
% 33.95/22.55 tff(13629,plain,
% 33.95/22.55 (v101(constB93) | (~v100(constB93))),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13628, 398, 13618])).
% 33.95/22.55 tff(13630,plain,
% 33.95/22.55 (~v100(constB93)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13629, 13625])).
% 33.95/22.55 tff(13631,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13632,plain,
% 33.95/22.55 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))) <=> (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13633,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0))))),
% 33.95/22.55 inference(monotonicity,[status(thm)],[13632])).
% 33.95/22.55 tff(13634,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 33.95/22.55 inference(transitivity,[status(thm)],[13633, 13631])).
% 33.95/22.55 tff(13635,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 33.95/22.55 inference(quant_inst,[status(thm)],[])).
% 33.95/22.55 tff(13636,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13635, 13634])).
% 33.95/22.55 tff(13637,plain,
% 33.95/22.55 (v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13636, 455, 13618])).
% 33.95/22.55 tff(13638,plain,
% 33.95/22.55 (v90(constB92, bitIndex0) | (~v90(constB93, bitIndex0))),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13637, 13630])).
% 33.95/22.55 tff(13639,plain,
% 33.95/22.55 (~v90(constB93, bitIndex0)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13638, 13612])).
% 33.95/22.55 tff(13640,plain,
% 33.95/22.55 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13641,plain,
% 33.95/22.55 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 33.95/22.55 inference(quant_inst,[status(thm)],[])).
% 33.95/22.55 tff(13642,plain,
% 33.95/22.55 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1))),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13641, 13640])).
% 33.95/22.55 tff(13643,plain,
% 33.95/22.55 (~v130(constB91, bitIndex1)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13642, 1677, 13512])).
% 33.95/22.55 tff(13644,plain,
% 33.95/22.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13645,plain,
% 33.95/22.55 ((v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1))) <=> ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13646,plain,
% 33.95/22.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)))),
% 33.95/22.55 inference(monotonicity,[status(thm)],[13645])).
% 33.95/22.55 tff(13647,plain,
% 33.95/22.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 33.95/22.55 inference(transitivity,[status(thm)],[13646, 13644])).
% 33.95/22.55 tff(13648,plain,
% 33.95/22.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))),
% 33.95/22.55 inference(quant_inst,[status(thm)],[])).
% 33.95/22.55 tff(13649,plain,
% 33.95/22.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13648, 13647])).
% 33.95/22.55 tff(13650,plain,
% 33.95/22.55 ((~v127(constB91, bitIndex1)) | v130(constB91, bitIndex1)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13649, 781, 13532])).
% 33.95/22.55 tff(13651,plain,
% 33.95/22.55 (~v127(constB91, bitIndex1)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13650, 13643])).
% 33.95/22.55 tff(13652,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13653,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 33.95/22.55 inference(quant_inst,[status(thm)],[])).
% 33.95/22.55 tff(13654,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13653, 13652])).
% 33.95/22.55 tff(13655,plain,
% 33.95/22.55 (v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13654, 799, 13547])).
% 33.95/22.55 tff(13656,plain,
% 33.95/22.55 (~v129(constB92, bitIndex1)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13655, 13651])).
% 33.95/22.55 tff(13657,plain,
% 33.95/22.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13658,plain,
% 33.95/22.55 (((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1)) <=> ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13659,plain,
% 33.95/22.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))))),
% 33.95/22.55 inference(monotonicity,[status(thm)],[13658])).
% 33.95/22.55 tff(13660,plain,
% 33.95/22.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 33.95/22.55 inference(transitivity,[status(thm)],[13659, 13657])).
% 33.95/22.55 tff(13661,plain,
% 33.95/22.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))),
% 33.95/22.55 inference(quant_inst,[status(thm)],[])).
% 33.95/22.55 tff(13662,plain,
% 33.95/22.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13661, 13660])).
% 33.95/22.55 tff(13663,plain,
% 33.95/22.55 ((~v90(constB92, bitIndex1)) | (~v100(constB92))),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13662, 814, 13656])).
% 33.95/22.55 tff(13664,plain,
% 33.95/22.55 (~v90(constB92, bitIndex1)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13663, 13587])).
% 33.95/22.55 tff(13665,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13666,plain,
% 33.95/22.55 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))) <=> (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 33.95/22.55 inference(rewrite,[status(thm)],[])).
% 33.95/22.55 tff(13667,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1))))),
% 33.95/22.55 inference(monotonicity,[status(thm)],[13666])).
% 33.95/22.55 tff(13668,plain,
% 33.95/22.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 33.95/22.55 inference(transitivity,[status(thm)],[13667, 13665])).
% 33.95/22.55 tff(13669,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 33.95/22.55 inference(quant_inst,[status(thm)],[])).
% 33.95/22.55 tff(13670,plain,
% 33.95/22.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 33.95/22.55 inference(modus_ponens,[status(thm)],[13669, 13668])).
% 33.95/22.55 tff(13671,plain,
% 33.95/22.55 (v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13670, 434, 13618])).
% 33.95/22.55 tff(13672,plain,
% 33.95/22.55 (v90(constB92, bitIndex1) | (~v90(constB93, bitIndex1))),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13671, 13630])).
% 33.95/22.55 tff(13673,plain,
% 33.95/22.55 (~v90(constB93, bitIndex1)),
% 33.95/22.55 inference(unit_resolution,[status(thm)],[13672, 13664])).
% 33.95/22.55 tff(13674,assumption,(~v90(constB93, bitIndex1)), introduced(assumption)).
% 33.95/22.55 tff(13675,assumption,(~v115(constB93)), introduced(assumption)).
% 33.95/22.55 tff(13676,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB93) | (~v123(constB93)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB93) | (~v123(constB93)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13677,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB93) | (~v123(constB93)))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13678,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB93) | (~v123(constB93))),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13677, 13676])).
% 33.95/22.56 tff(13679,plain,
% 33.95/22.56 (~v123(constB93)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13678, 1776, 13675])).
% 33.95/22.56 tff(13680,assumption,(~v90(constB93, bitIndex0)), introduced(assumption)).
% 33.95/22.56 tff(13681,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13682,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13683,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93)),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13682, 13681])).
% 33.95/22.56 tff(13684,plain,
% 33.95/22.56 (v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13683, 1765, 13680])).
% 33.95/22.56 tff(13685,plain,
% 33.95/22.56 (~v90(constB93, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13684, 13679, 13674])).
% 33.95/22.56 tff(13686,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB93) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB93) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13687,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB93) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13688,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB93) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2)),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13687, 13686])).
% 33.95/22.56 tff(13689,plain,
% 33.95/22.56 (v119(constB93) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13688, 476, 13680])).
% 33.95/22.56 tff(13690,plain,
% 33.95/22.56 (v119(constB93)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13689, 13685, 13674])).
% 33.95/22.56 tff(13691,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB93) | (~v119(constB93)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB93) | (~v119(constB93)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13692,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB93) | (~v119(constB93)))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13693,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB93) | (~v119(constB93))),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13692, 13691])).
% 33.95/22.56 tff(13694,plain,
% 33.95/22.56 (v118(constB93)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13693, 487, 13690])).
% 33.95/22.56 tff(13695,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB93) | (~v116(constB93)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB93) | (~v116(constB93)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13696,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB93) | (~v116(constB93)))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13697,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB93) | (~v116(constB93))),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13696, 13695])).
% 33.95/22.56 tff(13698,plain,
% 33.95/22.56 (~v116(constB93)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13697, 520, 13675])).
% 33.95/22.56 tff(13699,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB93) | (~v117(constB93)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB93) | (~v117(constB93)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13700,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB93) | (~v117(constB93)))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13701,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB93) | (~v117(constB93))),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13700, 13699])).
% 33.95/22.56 tff(13702,plain,
% 33.95/22.56 (~v117(constB93)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13701, 509, 13698])).
% 33.95/22.56 tff(13703,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB93) | (~v118(constB93)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB93) | (~v118(constB93)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13704,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB93) | (~v118(constB93)))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13705,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB93) | (~v118(constB93))),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13704, 13703])).
% 33.95/22.56 tff(13706,plain,
% 33.95/22.56 ($false),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13705, 498, 13702, 13694])).
% 33.95/22.56 tff(13707,plain,(v115(constB93) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 33.95/22.56 tff(13708,plain,
% 33.95/22.56 (v115(constB93)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13707, 13673, 13639])).
% 33.95/22.56 tff(13709,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB93) | (~v115(constB93)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB93) | (~v115(constB93)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13710,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB93) | (~v115(constB93)))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13711,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB93) | (~v115(constB93))),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13710, 13709])).
% 33.95/22.56 tff(13712,plain,
% 33.95/22.56 (v114(constB93)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13711, 531, 13708])).
% 33.95/22.56 tff(13713,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB93) | (~v114(constB93)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB93) | (~v114(constB93)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13714,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB93) | (~v114(constB93)))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13715,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB93) | (~v114(constB93))),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13714, 13713])).
% 33.95/22.56 tff(13716,plain,
% 33.95/22.56 (v113(constB93)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13715, 542, 13712])).
% 33.95/22.56 tff(13717,assumption,(~v108(constB93)), introduced(assumption)).
% 33.95/22.56 tff(13718,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB93) | (~v112(constB93)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB93) | (~v112(constB93)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13719,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB93) | (~v112(constB93)))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13720,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB93) | (~v112(constB93))),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13719, 13718])).
% 33.95/22.56 tff(13721,plain,
% 33.95/22.56 (~v112(constB93)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13720, 568, 13717])).
% 33.95/22.56 tff(13722,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB93) | (~v26(constB93)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB93) | (~v26(constB93)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13723,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB93) | (~v26(constB93)))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13724,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB93) | (~v26(constB93))),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13723, 13722])).
% 33.95/22.56 tff(13725,plain,
% 33.95/22.56 (~v26(constB93)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13724, 2348, 13717])).
% 33.95/22.56 tff(13726,assumption,(v113(constB93)), introduced(assumption)).
% 33.95/22.56 tff(13727,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13728,plain,
% 33.95/22.56 ((v26(constB93) | (~v113(constB93)) | v112(constB93)) <=> (v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13729,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93))))),
% 33.95/22.56 inference(monotonicity,[status(thm)],[13728])).
% 33.95/22.56 tff(13730,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 33.95/22.56 inference(transitivity,[status(thm)],[13729, 13727])).
% 33.95/22.56 tff(13731,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13732,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93))),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13731, 13730])).
% 33.95/22.56 tff(13733,plain,
% 33.95/22.56 (v26(constB93) | v112(constB93)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13732, 556, 13726])).
% 33.95/22.56 tff(13734,plain,
% 33.95/22.56 ($false),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13733, 13725, 13721])).
% 33.95/22.56 tff(13735,plain,(v108(constB93) | (~v113(constB93))), inference(lemma,lemma(discharge,[]))).
% 33.95/22.56 tff(13736,plain,
% 33.95/22.56 (v108(constB93)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13735, 13716])).
% 33.95/22.56 tff(13737,plain,
% 33.95/22.56 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13738,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 33.95/22.56 tff(13739,plain,
% 33.95/22.56 (nextState(constB93, constB94)),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13738, 13737])).
% 33.95/22.56 tff(13740,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13741,plain,
% 33.95/22.56 (((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94)) <=> ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13742,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))))),
% 33.95/22.56 inference(monotonicity,[status(thm)],[13741])).
% 33.95/22.56 tff(13743,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 33.95/22.56 inference(transitivity,[status(thm)],[13742, 13740])).
% 33.95/22.56 tff(13744,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13745,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13744, 13743])).
% 33.95/22.56 tff(13746,plain,
% 33.95/22.56 (v110(constB94) | (~v108(constB93))),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13745, 585, 13739])).
% 33.95/22.56 tff(13747,plain,
% 33.95/22.56 (v110(constB94)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13746, 13736])).
% 33.95/22.56 tff(13748,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13749,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13750,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94))),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13749, 13748])).
% 33.95/22.56 tff(13751,plain,
% 33.95/22.56 (~v104(constB94)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13750, 603, 13739, 13615])).
% 33.95/22.56 tff(13752,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13753,plain,
% 33.95/22.56 (((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94)) <=> ((~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13754,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | v102(constB94)))),
% 33.95/22.56 inference(monotonicity,[status(thm)],[13753])).
% 33.95/22.56 tff(13755,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))),
% 33.95/22.56 inference(transitivity,[status(thm)],[13754, 13752])).
% 33.95/22.56 tff(13756,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13757,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | v102(constB94)),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13756, 13755])).
% 33.95/22.56 tff(13758,plain,
% 33.95/22.56 (v104(constB94) | v102(constB94)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13757, 617, 13739])).
% 33.95/22.56 tff(13759,plain,
% 33.95/22.56 (v102(constB94)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13758, 13751])).
% 33.95/22.56 tff(13760,plain,
% 33.95/22.56 (v1(constB94) <=> v1(constB94)),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13761,axiom,(v1(constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 33.95/22.56 tff(13762,plain,
% 33.95/22.56 (v1(constB94)),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13761, 13760])).
% 33.95/22.56 tff(13763,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13764,plain,
% 33.95/22.56 (((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94))) <=> ((~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13765,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94))))),
% 33.95/22.56 inference(monotonicity,[status(thm)],[13764])).
% 33.95/22.56 tff(13766,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))),
% 33.95/22.56 inference(transitivity,[status(thm)],[13765, 13763])).
% 33.95/22.56 tff(13767,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13768,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94))),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13767, 13766])).
% 33.95/22.56 tff(13769,plain,
% 33.95/22.56 (v101(constB94) | (~v102(constB94))),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13768, 638, 13739, 13762])).
% 33.95/22.56 tff(13770,plain,
% 33.95/22.56 (v101(constB94)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13769, 13759])).
% 33.95/22.56 tff(13771,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13772,plain,
% 33.95/22.56 (((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94)) <=> ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13773,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))))),
% 33.95/22.56 inference(monotonicity,[status(thm)],[13772])).
% 33.95/22.56 tff(13774,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 33.95/22.56 inference(transitivity,[status(thm)],[13773, 13771])).
% 33.95/22.56 tff(13775,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13776,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13775, 13774])).
% 33.95/22.56 tff(13777,plain,
% 33.95/22.56 (v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13776, 656, 13739])).
% 33.95/22.56 tff(13778,plain,
% 33.95/22.56 (v100(constB94) | (~v110(constB94))),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13777, 13770])).
% 33.95/22.56 tff(13779,plain,
% 33.95/22.56 (v100(constB94)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13778, 13747])).
% 33.95/22.56 tff(13780,plain,
% 33.95/22.56 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13781,plain,
% 33.95/22.56 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13782,plain,
% 33.95/22.56 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2)),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13781, 13780])).
% 33.95/22.56 tff(13783,plain,
% 33.95/22.56 (v130(constB91, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13782, 1578, 13512])).
% 33.95/22.56 tff(13784,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13785,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13786,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13785, 13784])).
% 33.95/22.56 tff(13787,plain,
% 33.95/22.56 ((~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13786, 1592, 13532])).
% 33.95/22.56 tff(13788,plain,
% 33.95/22.56 (v127(constB91, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13787, 13783])).
% 33.95/22.56 tff(13789,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13790,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13791,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13790, 13789])).
% 33.95/22.56 tff(13792,plain,
% 33.95/22.56 ((~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13791, 1607, 13547])).
% 33.95/22.56 tff(13793,plain,
% 33.95/22.56 (v129(constB92, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13792, 13788])).
% 33.95/22.56 tff(13794,plain,
% 33.95/22.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13795,plain,
% 33.95/22.56 ((v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2))) <=> (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13796,plain,
% 33.95/22.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))))),
% 33.95/22.56 inference(monotonicity,[status(thm)],[13795])).
% 33.95/22.56 tff(13797,plain,
% 33.95/22.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 33.95/22.56 inference(transitivity,[status(thm)],[13796, 13794])).
% 33.95/22.56 tff(13798,plain,
% 33.95/22.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13799,plain,
% 33.95/22.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13798, 13797])).
% 33.95/22.56 tff(13800,plain,
% 33.95/22.56 (v90(constB92, bitIndex2) | (~v100(constB92))),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13799, 1622, 13793])).
% 33.95/22.56 tff(13801,plain,
% 33.95/22.56 (v90(constB92, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13800, 13587])).
% 33.95/22.56 tff(13802,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13803,plain,
% 33.95/22.56 (((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)) <=> ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13804,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2)))),
% 33.95/22.56 inference(monotonicity,[status(thm)],[13803])).
% 33.95/22.56 tff(13805,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 33.95/22.56 inference(transitivity,[status(thm)],[13804, 13802])).
% 33.95/22.56 tff(13806,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13807,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2)),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13806, 13805])).
% 33.95/22.56 tff(13808,plain,
% 33.95/22.56 ((~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13807, 1658, 13618])).
% 33.95/22.56 tff(13809,plain,
% 33.95/22.56 ((~v90(constB92, bitIndex2)) | v90(constB93, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13808, 13630])).
% 33.95/22.56 tff(13810,plain,
% 33.95/22.56 (v90(constB93, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13809, 13801])).
% 33.95/22.56 tff(13811,plain,
% 33.95/22.56 (v123(constB93)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13683, 1765, 13639, 13673, 13810])).
% 33.95/22.56 tff(13812,plain,
% 33.95/22.56 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13813,plain,
% 33.95/22.56 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13814,plain,
% 33.95/22.56 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2)),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13813, 13812])).
% 33.95/22.56 tff(13815,plain,
% 33.95/22.56 (v130(constB93, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13814, 1850, 13811])).
% 33.95/22.56 tff(13816,assumption,(v26(constB93)), introduced(assumption)).
% 33.95/22.56 tff(13817,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB93))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13818,plain,
% 33.95/22.56 ($false),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13817, 120, 13816])).
% 33.95/22.56 tff(13819,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 33.95/22.56 tff(13820,plain,
% 33.95/22.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13821,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13822,plain,
% 33.95/22.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13821, 13820])).
% 33.95/22.56 tff(13823,plain,
% 33.95/22.56 ((~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13822, 1592, 13819])).
% 33.95/22.56 tff(13824,plain,
% 33.95/22.56 (v127(constB93, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13823, 13815])).
% 33.95/22.56 tff(13825,plain,
% 33.95/22.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13826,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 33.95/22.56 inference(quant_inst,[status(thm)],[])).
% 33.95/22.56 tff(13827,plain,
% 33.95/22.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 33.95/22.56 inference(modus_ponens,[status(thm)],[13826, 13825])).
% 33.95/22.56 tff(13828,plain,
% 33.95/22.56 ((~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13827, 1607, 13739])).
% 33.95/22.56 tff(13829,plain,
% 33.95/22.56 (v129(constB94, bitIndex2)),
% 33.95/22.56 inference(unit_resolution,[status(thm)],[13828, 13824])).
% 33.95/22.56 tff(13830,plain,
% 33.95/22.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13831,plain,
% 33.95/22.56 ((v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2))) <=> (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 33.95/22.56 inference(rewrite,[status(thm)],[])).
% 33.95/22.56 tff(13832,plain,
% 33.95/22.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))))),
% 33.95/22.56 inference(monotonicity,[status(thm)],[13831])).
% 33.95/22.56 tff(13833,plain,
% 33.95/22.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 33.95/22.56 inference(transitivity,[status(thm)],[13832, 13830])).
% 33.95/22.57 tff(13834,plain,
% 33.95/22.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13835,plain,
% 33.95/22.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13834, 13833])).
% 33.95/22.57 tff(13836,plain,
% 33.95/22.57 (v90(constB94, bitIndex2) | (~v100(constB94))),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13835, 1622, 13829])).
% 33.95/22.57 tff(13837,plain,
% 33.95/22.57 (v90(constB94, bitIndex2)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13836, 13779])).
% 33.95/22.57 tff(13838,plain,
% 33.95/22.57 ((~v1(constB95)) <=> (~v1(constB95))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13839,axiom,(~v1(constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 33.95/22.57 tff(13840,plain,
% 33.95/22.57 (~v1(constB95)),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13839, 13838])).
% 33.95/22.57 tff(13841,plain,
% 33.95/22.57 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13842,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 33.95/22.57 tff(13843,plain,
% 33.95/22.57 (nextState(constB94, constB95)),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13842, 13841])).
% 33.95/22.57 tff(13844,plain,
% 33.95/22.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13845,plain,
% 33.95/22.57 (((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13846,plain,
% 33.95/22.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))))),
% 33.95/22.57 inference(monotonicity,[status(thm)],[13845])).
% 33.95/22.57 tff(13847,plain,
% 33.95/22.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 33.95/22.57 inference(transitivity,[status(thm)],[13846, 13844])).
% 33.95/22.57 tff(13848,plain,
% 33.95/22.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13849,plain,
% 33.95/22.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13848, 13847])).
% 33.95/22.57 tff(13850,plain,
% 33.95/22.57 (~v101(constB95)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13849, 381, 13843, 13840])).
% 33.95/22.57 tff(13851,plain,
% 33.95/22.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13852,plain,
% 33.95/22.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13853,plain,
% 33.95/22.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95))),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13852, 13851])).
% 33.95/22.57 tff(13854,plain,
% 33.95/22.57 (v101(constB95) | (~v100(constB95))),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13853, 398, 13843])).
% 33.95/22.57 tff(13855,plain,
% 33.95/22.57 (~v100(constB95)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13854, 13850])).
% 33.95/22.57 tff(13856,plain,
% 33.95/22.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13857,plain,
% 33.95/22.57 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)) <=> ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13858,plain,
% 33.95/22.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2)))),
% 33.95/22.57 inference(monotonicity,[status(thm)],[13857])).
% 33.95/22.57 tff(13859,plain,
% 33.95/22.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 33.95/22.57 inference(transitivity,[status(thm)],[13858, 13856])).
% 33.95/22.57 tff(13860,plain,
% 33.95/22.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13861,plain,
% 33.95/22.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2)),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13860, 13859])).
% 33.95/22.57 tff(13862,plain,
% 33.95/22.57 ((~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13861, 1658, 13843])).
% 33.95/22.57 tff(13863,plain,
% 33.95/22.57 ((~v90(constB94, bitIndex2)) | v90(constB95, bitIndex2)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13862, 13855])).
% 33.95/22.57 tff(13864,plain,
% 33.95/22.57 (v90(constB95, bitIndex2)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13863, 13837])).
% 33.95/22.57 tff(13865,plain,
% 33.95/22.57 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB93)) | (~v130(constB93, bitIndex1)))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13866,plain,
% 33.95/22.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex1)))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13867,plain,
% 33.95/22.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB93)) | (~v130(constB93, bitIndex1))),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13866, 13865])).
% 33.95/22.57 tff(13868,plain,
% 33.95/22.57 (~v130(constB93, bitIndex1)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13867, 1909, 13811])).
% 33.95/22.57 tff(13869,plain,
% 33.95/22.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13870,plain,
% 33.95/22.57 ((v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1))) <=> ((~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13871,plain,
% 33.95/22.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1)))),
% 33.95/22.57 inference(monotonicity,[status(thm)],[13870])).
% 33.95/22.57 tff(13872,plain,
% 33.95/22.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))),
% 33.95/22.57 inference(transitivity,[status(thm)],[13871, 13869])).
% 33.95/22.57 tff(13873,plain,
% 33.95/22.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1)))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13874,plain,
% 33.95/22.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1)),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13873, 13872])).
% 33.95/22.57 tff(13875,plain,
% 33.95/22.57 ((~v127(constB93, bitIndex1)) | v130(constB93, bitIndex1)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13874, 781, 13819])).
% 33.95/22.57 tff(13876,plain,
% 33.95/22.57 (~v127(constB93, bitIndex1)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13875, 13868])).
% 33.95/22.57 tff(13877,plain,
% 33.95/22.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1)))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13878,plain,
% 33.95/22.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1)))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13879,plain,
% 33.95/22.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1))),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13878, 13877])).
% 33.95/22.57 tff(13880,plain,
% 33.95/22.57 (v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1))),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13879, 799, 13739])).
% 33.95/22.57 tff(13881,plain,
% 33.95/22.57 (~v129(constB94, bitIndex1)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13880, 13876])).
% 33.95/22.57 tff(13882,plain,
% 33.95/22.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13883,plain,
% 33.95/22.57 (((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1)) <=> ((~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13884,plain,
% 33.95/22.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94))))),
% 33.95/22.57 inference(monotonicity,[status(thm)],[13883])).
% 33.95/22.57 tff(13885,plain,
% 33.95/22.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))),
% 33.95/22.57 inference(transitivity,[status(thm)],[13884, 13882])).
% 33.95/22.57 tff(13886,plain,
% 33.95/22.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13887,plain,
% 33.95/22.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94))),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13886, 13885])).
% 33.95/22.57 tff(13888,plain,
% 33.95/22.57 ((~v90(constB94, bitIndex1)) | (~v100(constB94))),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13887, 814, 13881])).
% 33.95/22.57 tff(13889,plain,
% 33.95/22.57 (~v90(constB94, bitIndex1)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13888, 13779])).
% 33.95/22.57 tff(13890,plain,
% 33.95/22.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13891,plain,
% 33.95/22.57 (((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1))) <=> (v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13892,plain,
% 33.95/22.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1))))),
% 33.95/22.57 inference(monotonicity,[status(thm)],[13891])).
% 33.95/22.57 tff(13893,plain,
% 33.95/22.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 33.95/22.57 inference(transitivity,[status(thm)],[13892, 13890])).
% 33.95/22.57 tff(13894,plain,
% 33.95/22.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13895,plain,
% 33.95/22.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1))),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13894, 13893])).
% 33.95/22.57 tff(13896,plain,
% 33.95/22.57 (v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1))),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13895, 434, 13843])).
% 33.95/22.57 tff(13897,plain,
% 33.95/22.57 (v90(constB94, bitIndex1) | (~v90(constB95, bitIndex1))),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13896, 13855])).
% 33.95/22.57 tff(13898,plain,
% 33.95/22.57 (~v90(constB95, bitIndex1)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13897, 13889])).
% 33.95/22.57 tff(13899,plain,
% 33.95/22.57 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB93, bitIndex0) | (~v124(constB93)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB93, bitIndex0) | (~v124(constB93)))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13900,plain,
% 33.95/22.57 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB93, bitIndex0) | (~v124(constB93)))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13901,plain,
% 33.95/22.57 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB93, bitIndex0) | (~v124(constB93))),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13900, 13899])).
% 33.95/22.57 tff(13902,plain,
% 33.95/22.57 (~v124(constB93)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13901, 12932, 13639])).
% 33.95/22.57 tff(13903,plain,
% 33.95/22.57 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB93, bitIndex2)) | (~v120(constB93)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB93, bitIndex2)) | (~v120(constB93)))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13904,plain,
% 33.95/22.57 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB93, bitIndex2)) | (~v120(constB93)))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13905,plain,
% 33.95/22.57 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB93, bitIndex2)) | (~v120(constB93))),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13904, 13903])).
% 33.95/22.57 tff(13906,plain,
% 33.95/22.57 (~v120(constB93)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13905, 6976, 13810])).
% 33.95/22.57 tff(13907,plain,
% 33.95/22.57 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB93, bitIndex2)) | (~v122(constB93)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB93, bitIndex2)) | (~v122(constB93)))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13908,plain,
% 33.95/22.57 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB93, bitIndex2)) | (~v122(constB93)))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13909,plain,
% 33.95/22.57 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB93, bitIndex2)) | (~v122(constB93))),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13908, 13907])).
% 33.95/22.57 tff(13910,plain,
% 33.95/22.57 (~v122(constB93)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13909, 2131, 13810])).
% 33.95/22.57 tff(13911,plain,
% 33.95/22.57 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB93, bitIndex2)) | (~v121(constB93)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB93, bitIndex2)) | (~v121(constB93)))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13912,plain,
% 33.95/22.57 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB93, bitIndex2)) | (~v121(constB93)))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13913,plain,
% 33.95/22.57 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB93, bitIndex2)) | (~v121(constB93))),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13912, 13911])).
% 33.95/22.57 tff(13914,plain,
% 33.95/22.57 (~v121(constB93)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13913, 2216, 13810])).
% 33.95/22.57 tff(13915,assumption,(~v130(constB93, bitIndex0)), introduced(assumption)).
% 33.95/22.57 tff(13916,assumption,(~v121(constB93)), introduced(assumption)).
% 33.95/22.57 tff(13917,plain,
% 33.95/22.57 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB93)) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB93)) | v130(constB93, bitIndex0))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13918,plain,
% 33.95/22.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB93)) | v130(constB93, bitIndex0))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13919,plain,
% 33.95/22.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB93)) | v130(constB93, bitIndex0)),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13918, 13917])).
% 33.95/22.57 tff(13920,plain,
% 33.95/22.57 (~v123(constB93)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13919, 1953, 13915])).
% 33.95/22.57 tff(13921,plain,
% 33.95/22.57 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB93)) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB93)) | v130(constB93, bitIndex0))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13922,plain,
% 33.95/22.57 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB93)) | v130(constB93, bitIndex0))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13923,plain,
% 33.95/22.57 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB93)) | v130(constB93, bitIndex0)),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13922, 13921])).
% 33.95/22.57 tff(13924,plain,
% 33.95/22.57 (~v119(constB93)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13923, 841, 13915])).
% 33.95/22.57 tff(13925,assumption,(~v120(constB93)), introduced(assumption)).
% 33.95/22.57 tff(13926,assumption,(~v122(constB93)), introduced(assumption)).
% 33.95/22.57 tff(13927,assumption,(~v124(constB93)), introduced(assumption)).
% 33.95/22.57 tff(13928,plain,
% 33.95/22.57 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB93) | v123(constB93) | v122(constB93) | v121(constB93) | v120(constB93) | v119(constB93) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB93) | v123(constB93) | v122(constB93) | v121(constB93) | v120(constB93) | v119(constB93) | v130(constB93, bitIndex0))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13929,plain,
% 33.95/22.57 ((v120(constB93) | v119(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | v130(constB93, bitIndex0)) <=> (v124(constB93) | v123(constB93) | v122(constB93) | v121(constB93) | v120(constB93) | v119(constB93) | v130(constB93, bitIndex0))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13930,plain,
% 33.95/22.57 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB93) | v119(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB93) | v123(constB93) | v122(constB93) | v121(constB93) | v120(constB93) | v119(constB93) | v130(constB93, bitIndex0)))),
% 33.95/22.57 inference(monotonicity,[status(thm)],[13929])).
% 33.95/22.57 tff(13931,plain,
% 33.95/22.57 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB93) | v119(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB93) | v123(constB93) | v122(constB93) | v121(constB93) | v120(constB93) | v119(constB93) | v130(constB93, bitIndex0))),
% 33.95/22.57 inference(transitivity,[status(thm)],[13930, 13928])).
% 33.95/22.57 tff(13932,plain,
% 33.95/22.57 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB93) | v119(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | v130(constB93, bitIndex0))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13933,plain,
% 33.95/22.57 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB93) | v123(constB93) | v122(constB93) | v121(constB93) | v120(constB93) | v119(constB93) | v130(constB93, bitIndex0)),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13932, 13931])).
% 33.95/22.57 tff(13934,plain,
% 33.95/22.57 (v123(constB93) | v121(constB93) | v119(constB93) | v130(constB93, bitIndex0)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13933, 2495, 13927, 13926, 13925])).
% 33.95/22.57 tff(13935,plain,
% 33.95/22.57 ($false),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13934, 13924, 13920, 13916, 13915])).
% 33.95/22.57 tff(13936,plain,(v130(constB93, bitIndex0) | v121(constB93) | v124(constB93) | v122(constB93) | v120(constB93)), inference(lemma,lemma(discharge,[]))).
% 33.95/22.57 tff(13937,plain,
% 33.95/22.57 (v130(constB93, bitIndex0)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13936, 13914, 13910, 13906, 13902])).
% 33.95/22.57 tff(13938,plain,
% 33.95/22.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13939,plain,
% 33.95/22.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13940,plain,
% 33.95/22.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0)),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13939, 13938])).
% 33.95/22.57 tff(13941,plain,
% 33.95/22.57 ((~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13940, 855, 13819])).
% 33.95/22.57 tff(13942,plain,
% 33.95/22.57 (v127(constB93, bitIndex0)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13941, 13937])).
% 33.95/22.57 tff(13943,plain,
% 33.95/22.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))),
% 33.95/22.57 inference(rewrite,[status(thm)],[])).
% 33.95/22.57 tff(13944,plain,
% 33.95/22.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))),
% 33.95/22.57 inference(quant_inst,[status(thm)],[])).
% 33.95/22.57 tff(13945,plain,
% 33.95/22.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0)),
% 33.95/22.57 inference(modus_ponens,[status(thm)],[13944, 13943])).
% 33.95/22.57 tff(13946,plain,
% 33.95/22.57 ((~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13945, 870, 13739])).
% 33.95/22.57 tff(13947,plain,
% 33.95/22.57 (v129(constB94, bitIndex0)),
% 33.95/22.57 inference(unit_resolution,[status(thm)],[13946, 13942])).
% 33.95/22.58 tff(13948,plain,
% 33.95/22.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(13949,plain,
% 33.95/22.58 ((v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0))) <=> (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(13950,plain,
% 33.95/22.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94))))),
% 33.95/22.58 inference(monotonicity,[status(thm)],[13949])).
% 33.95/22.58 tff(13951,plain,
% 33.95/22.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 33.95/22.58 inference(transitivity,[status(thm)],[13950, 13948])).
% 33.95/22.58 tff(13952,plain,
% 33.95/22.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(13953,plain,
% 33.95/22.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94))),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[13952, 13951])).
% 33.95/22.58 tff(13954,plain,
% 33.95/22.58 (v90(constB94, bitIndex0) | (~v100(constB94))),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[13953, 885, 13947])).
% 33.95/22.58 tff(13955,plain,
% 33.95/22.58 (v90(constB94, bitIndex0)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[13954, 13779])).
% 33.95/22.58 tff(13956,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(13957,plain,
% 33.95/22.58 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0)) <=> ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(13958,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0)))),
% 33.95/22.58 inference(monotonicity,[status(thm)],[13957])).
% 33.95/22.58 tff(13959,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 33.95/22.58 inference(transitivity,[status(thm)],[13958, 13956])).
% 33.95/22.58 tff(13960,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(13961,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0)),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[13960, 13959])).
% 33.95/22.58 tff(13962,plain,
% 33.95/22.58 ((~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[13961, 903, 13843])).
% 33.95/22.58 tff(13963,plain,
% 33.95/22.58 ((~v90(constB94, bitIndex0)) | v90(constB95, bitIndex0)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[13962, 13855])).
% 33.95/22.58 tff(13964,plain,
% 33.95/22.58 (v90(constB95, bitIndex0)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[13963, 13955])).
% 33.95/22.58 tff(13965,plain,
% 33.95/22.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(13966,plain,
% 33.95/22.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(13967,plain,
% 33.95/22.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95)),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[13966, 13965])).
% 33.95/22.58 tff(13968,plain,
% 33.95/22.58 (v124(constB95)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[13967, 1994, 13964, 13898, 13864])).
% 33.95/22.58 tff(13969,plain,
% 33.95/22.58 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB95) | (~v124(constB95)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB95) | (~v124(constB95)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(13970,plain,
% 33.95/22.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB95) | (~v124(constB95)))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(13971,plain,
% 33.95/22.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB95) | (~v124(constB95))),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[13970, 13969])).
% 33.95/22.58 tff(13972,plain,
% 33.95/22.58 (v114(constB95)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[13971, 2005, 13968])).
% 33.95/22.58 tff(13973,plain,
% 33.95/22.58 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB95) | (~v114(constB95)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB95) | (~v114(constB95)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(13974,plain,
% 33.95/22.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB95) | (~v114(constB95)))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(13975,plain,
% 33.95/22.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB95) | (~v114(constB95))),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[13974, 13973])).
% 33.95/22.58 tff(13976,plain,
% 33.95/22.58 (v113(constB95)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[13975, 542, 13972])).
% 33.95/22.58 tff(13977,assumption,(v26(constB95)), introduced(assumption)).
% 33.95/22.58 tff(13978,plain,
% 33.95/22.58 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB95))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(13979,plain,
% 33.95/22.58 ($false),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[13978, 120, 13977])).
% 33.95/22.58 tff(13980,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 33.95/22.58 tff(13981,plain,
% 33.95/22.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(13982,plain,
% 33.95/22.58 ((v26(constB95) | (~v113(constB95)) | v112(constB95)) <=> (v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(13983,plain,
% 33.95/22.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95))))),
% 33.95/22.58 inference(monotonicity,[status(thm)],[13982])).
% 33.95/22.58 tff(13984,plain,
% 33.95/22.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 33.95/22.58 inference(transitivity,[status(thm)],[13983, 13981])).
% 33.95/22.58 tff(13985,plain,
% 33.95/22.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(13986,plain,
% 33.95/22.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95))),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[13985, 13984])).
% 33.95/22.58 tff(13987,plain,
% 33.95/22.58 (v112(constB95) | (~v113(constB95))),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[13986, 556, 13980])).
% 33.95/22.58 tff(13988,plain,
% 33.95/22.58 (v112(constB95)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[13987, 13976])).
% 33.95/22.58 tff(13989,plain,
% 33.95/22.58 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB95) | (~v112(constB95)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB95) | (~v112(constB95)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(13990,plain,
% 33.95/22.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB95) | (~v112(constB95)))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(13991,plain,
% 33.95/22.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB95) | (~v112(constB95))),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[13990, 13989])).
% 33.95/22.58 tff(13992,plain,
% 33.95/22.58 (v108(constB95)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[13991, 568, 13988])).
% 33.95/22.58 tff(13993,plain,
% 33.95/22.58 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(13994,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 33.95/22.58 tff(13995,plain,
% 33.95/22.58 (nextState(constB95, constB96)),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[13994, 13993])).
% 33.95/22.58 tff(13996,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(13997,plain,
% 33.95/22.58 (((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96)) <=> ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(13998,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))))),
% 33.95/22.58 inference(monotonicity,[status(thm)],[13997])).
% 33.95/22.58 tff(13999,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 33.95/22.58 inference(transitivity,[status(thm)],[13998, 13996])).
% 33.95/22.58 tff(14000,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(14001,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14000, 13999])).
% 33.95/22.58 tff(14002,plain,
% 33.95/22.58 (v110(constB96) | (~v108(constB95))),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14001, 585, 13995])).
% 33.95/22.58 tff(14003,plain,
% 33.95/22.58 (v110(constB96)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14002, 13992])).
% 33.95/22.58 tff(14004,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14005,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(14006,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96))),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14005, 14004])).
% 33.95/22.58 tff(14007,plain,
% 33.95/22.58 (~v104(constB96)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14006, 603, 13995, 13840])).
% 33.95/22.58 tff(14008,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14009,plain,
% 33.95/22.58 (((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96)) <=> ((~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14010,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | v102(constB96)))),
% 33.95/22.58 inference(monotonicity,[status(thm)],[14009])).
% 33.95/22.58 tff(14011,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))),
% 33.95/22.58 inference(transitivity,[status(thm)],[14010, 14008])).
% 33.95/22.58 tff(14012,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(14013,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | v102(constB96)),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14012, 14011])).
% 33.95/22.58 tff(14014,plain,
% 33.95/22.58 (v104(constB96) | v102(constB96)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14013, 617, 13995])).
% 33.95/22.58 tff(14015,plain,
% 33.95/22.58 (v102(constB96)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14014, 14007])).
% 33.95/22.58 tff(14016,plain,
% 33.95/22.58 (v1(constB96) <=> v1(constB96)),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14017,axiom,(v1(constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 33.95/22.58 tff(14018,plain,
% 33.95/22.58 (v1(constB96)),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14017, 14016])).
% 33.95/22.58 tff(14019,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14020,plain,
% 33.95/22.58 (((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96))) <=> ((~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14021,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96))))),
% 33.95/22.58 inference(monotonicity,[status(thm)],[14020])).
% 33.95/22.58 tff(14022,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))),
% 33.95/22.58 inference(transitivity,[status(thm)],[14021, 14019])).
% 33.95/22.58 tff(14023,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(14024,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96))),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14023, 14022])).
% 33.95/22.58 tff(14025,plain,
% 33.95/22.58 (v101(constB96) | (~v102(constB96))),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14024, 638, 13995, 14018])).
% 33.95/22.58 tff(14026,plain,
% 33.95/22.58 (v101(constB96)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14025, 14015])).
% 33.95/22.58 tff(14027,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14028,plain,
% 33.95/22.58 (((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96)) <=> ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14029,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))))),
% 33.95/22.58 inference(monotonicity,[status(thm)],[14028])).
% 33.95/22.58 tff(14030,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 33.95/22.58 inference(transitivity,[status(thm)],[14029, 14027])).
% 33.95/22.58 tff(14031,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(14032,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14031, 14030])).
% 33.95/22.58 tff(14033,plain,
% 33.95/22.58 (v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14032, 656, 13995])).
% 33.95/22.58 tff(14034,plain,
% 33.95/22.58 (v100(constB96) | (~v110(constB96))),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14033, 14026])).
% 33.95/22.58 tff(14035,plain,
% 33.95/22.58 (v100(constB96)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14034, 14003])).
% 33.95/22.58 tff(14036,plain,
% 33.95/22.58 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB95)) | v130(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB95)) | v130(constB95, bitIndex2))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14037,plain,
% 33.95/22.58 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB95)) | v130(constB95, bitIndex2))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(14038,plain,
% 33.95/22.58 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB95)) | v130(constB95, bitIndex2)),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14037, 14036])).
% 33.95/22.58 tff(14039,plain,
% 33.95/22.58 (v130(constB95, bitIndex2)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14038, 2075, 13968])).
% 33.95/22.58 tff(14040,plain,
% 33.95/22.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14041,plain,
% 33.95/22.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(14042,plain,
% 33.95/22.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2)),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14041, 14040])).
% 33.95/22.58 tff(14043,plain,
% 33.95/22.58 ((~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14042, 1592, 13980])).
% 33.95/22.58 tff(14044,plain,
% 33.95/22.58 (v127(constB95, bitIndex2)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14043, 14039])).
% 33.95/22.58 tff(14045,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14046,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(14047,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2)),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14046, 14045])).
% 33.95/22.58 tff(14048,plain,
% 33.95/22.58 ((~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14047, 1607, 13995])).
% 33.95/22.58 tff(14049,plain,
% 33.95/22.58 (v129(constB96, bitIndex2)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14048, 14044])).
% 33.95/22.58 tff(14050,plain,
% 33.95/22.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14051,plain,
% 33.95/22.58 ((v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2))) <=> (v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14052,plain,
% 33.95/22.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96))))),
% 33.95/22.58 inference(monotonicity,[status(thm)],[14051])).
% 33.95/22.58 tff(14053,plain,
% 33.95/22.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))),
% 33.95/22.58 inference(transitivity,[status(thm)],[14052, 14050])).
% 33.95/22.58 tff(14054,plain,
% 33.95/22.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2)))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(14055,plain,
% 33.95/22.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96))),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14054, 14053])).
% 33.95/22.58 tff(14056,plain,
% 33.95/22.58 (v90(constB96, bitIndex2) | (~v100(constB96))),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14055, 1622, 14049])).
% 33.95/22.58 tff(14057,plain,
% 33.95/22.58 (v90(constB96, bitIndex2)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14056, 14035])).
% 33.95/22.58 tff(14058,plain,
% 33.95/22.58 ((~v1(constB97)) <=> (~v1(constB97))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14059,axiom,(~v1(constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 33.95/22.58 tff(14060,plain,
% 33.95/22.58 (~v1(constB97)),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14059, 14058])).
% 33.95/22.58 tff(14061,plain,
% 33.95/22.58 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14062,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 33.95/22.58 tff(14063,plain,
% 33.95/22.58 (nextState(constB96, constB97)),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14062, 14061])).
% 33.95/22.58 tff(14064,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14065,plain,
% 33.95/22.58 (((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14066,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))))),
% 33.95/22.58 inference(monotonicity,[status(thm)],[14065])).
% 33.95/22.58 tff(14067,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 33.95/22.58 inference(transitivity,[status(thm)],[14066, 14064])).
% 33.95/22.58 tff(14068,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(14069,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14068, 14067])).
% 33.95/22.58 tff(14070,plain,
% 33.95/22.58 (~v101(constB97)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14069, 381, 14063, 14060])).
% 33.95/22.58 tff(14071,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14072,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(14073,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97))),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14072, 14071])).
% 33.95/22.58 tff(14074,plain,
% 33.95/22.58 (v101(constB97) | (~v100(constB97))),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14073, 398, 14063])).
% 33.95/22.58 tff(14075,plain,
% 33.95/22.58 (~v100(constB97)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14074, 14070])).
% 33.95/22.58 tff(14076,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14077,plain,
% 33.95/22.58 (((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2)) <=> ((~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14078,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2)))),
% 33.95/22.58 inference(monotonicity,[status(thm)],[14077])).
% 33.95/22.58 tff(14079,plain,
% 33.95/22.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))),
% 33.95/22.58 inference(transitivity,[status(thm)],[14078, 14076])).
% 33.95/22.58 tff(14080,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(14081,plain,
% 33.95/22.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2)),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14080, 14079])).
% 33.95/22.58 tff(14082,plain,
% 33.95/22.58 ((~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14081, 1658, 14063])).
% 33.95/22.58 tff(14083,plain,
% 33.95/22.58 ((~v90(constB96, bitIndex2)) | v90(constB97, bitIndex2)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14082, 14075])).
% 33.95/22.58 tff(14084,plain,
% 33.95/22.58 (v90(constB97, bitIndex2)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14083, 14057])).
% 33.95/22.58 tff(14085,plain,
% 33.95/22.58 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB95)) | v130(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB95)) | v130(constB95, bitIndex1))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14086,plain,
% 33.95/22.58 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB95)) | v130(constB95, bitIndex1))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(14087,plain,
% 33.95/22.58 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB95)) | v130(constB95, bitIndex1)),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14086, 14085])).
% 33.95/22.58 tff(14088,plain,
% 33.95/22.58 (v130(constB95, bitIndex1)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14087, 2145, 13968])).
% 33.95/22.58 tff(14089,plain,
% 33.95/22.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))),
% 33.95/22.58 inference(rewrite,[status(thm)],[])).
% 33.95/22.58 tff(14090,plain,
% 33.95/22.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))),
% 33.95/22.58 inference(quant_inst,[status(thm)],[])).
% 33.95/22.58 tff(14091,plain,
% 33.95/22.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1)),
% 33.95/22.58 inference(modus_ponens,[status(thm)],[14090, 14089])).
% 33.95/22.58 tff(14092,plain,
% 33.95/22.58 ((~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14091, 1101, 13980])).
% 33.95/22.58 tff(14093,plain,
% 33.95/22.58 (v127(constB95, bitIndex1)),
% 33.95/22.58 inference(unit_resolution,[status(thm)],[14092, 14088])).
% 33.95/22.58 tff(14094,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14095,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14096,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1)),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14095, 14094])).
% 33.95/22.59 tff(14097,plain,
% 33.95/22.59 ((~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14096, 1116, 13995])).
% 33.95/22.59 tff(14098,plain,
% 33.95/22.59 (v129(constB96, bitIndex1)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14097, 14093])).
% 33.95/22.59 tff(14099,plain,
% 33.95/22.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14100,plain,
% 33.95/22.59 ((v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1))) <=> (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14101,plain,
% 33.95/22.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96))))),
% 33.95/22.59 inference(monotonicity,[status(thm)],[14100])).
% 33.95/22.59 tff(14102,plain,
% 33.95/22.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 33.95/22.59 inference(transitivity,[status(thm)],[14101, 14099])).
% 33.95/22.59 tff(14103,plain,
% 33.95/22.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14104,plain,
% 33.95/22.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96))),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14103, 14102])).
% 33.95/22.59 tff(14105,plain,
% 33.95/22.59 (v90(constB96, bitIndex1) | (~v100(constB96))),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14104, 1131, 14098])).
% 33.95/22.59 tff(14106,plain,
% 33.95/22.59 (v90(constB96, bitIndex1)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14105, 14035])).
% 33.95/22.59 tff(14107,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14108,plain,
% 33.95/22.59 (((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1)) <=> ((~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14109,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1)))),
% 33.95/22.59 inference(monotonicity,[status(thm)],[14108])).
% 33.95/22.59 tff(14110,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))),
% 33.95/22.59 inference(transitivity,[status(thm)],[14109, 14107])).
% 33.95/22.59 tff(14111,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14112,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1)),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14111, 14110])).
% 33.95/22.59 tff(14113,plain,
% 33.95/22.59 ((~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14112, 1149, 14063])).
% 33.95/22.59 tff(14114,plain,
% 33.95/22.59 ((~v90(constB96, bitIndex1)) | v90(constB97, bitIndex1)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14113, 14075])).
% 33.95/22.59 tff(14115,plain,
% 33.95/22.59 (v90(constB97, bitIndex1)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14114, 14106])).
% 33.95/22.59 tff(14116,plain,
% 33.95/22.59 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB95)) | (~v130(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB95)) | (~v130(constB95, bitIndex0)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14117,plain,
% 33.95/22.59 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB95)) | (~v130(constB95, bitIndex0)))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14118,plain,
% 33.95/22.59 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB95)) | (~v130(constB95, bitIndex0))),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14117, 14116])).
% 33.95/22.59 tff(14119,plain,
% 33.95/22.59 (~v130(constB95, bitIndex0)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14118, 2277, 13968])).
% 33.95/22.59 tff(14120,plain,
% 33.95/22.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14121,plain,
% 33.95/22.59 ((v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0))) <=> ((~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14122,plain,
% 33.95/22.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0)))),
% 33.95/22.59 inference(monotonicity,[status(thm)],[14121])).
% 33.95/22.59 tff(14123,plain,
% 33.95/22.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))),
% 33.95/22.59 inference(transitivity,[status(thm)],[14122, 14120])).
% 33.95/22.59 tff(14124,plain,
% 33.95/22.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0)))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14125,plain,
% 33.95/22.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0)),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14124, 14123])).
% 33.95/22.59 tff(14126,plain,
% 33.95/22.59 ((~v127(constB95, bitIndex0)) | v130(constB95, bitIndex0)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14125, 1182, 13980])).
% 33.95/22.59 tff(14127,plain,
% 33.95/22.59 (~v127(constB95, bitIndex0)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14126, 14119])).
% 33.95/22.59 tff(14128,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14129,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0)))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14130,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0))),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14129, 14128])).
% 33.95/22.59 tff(14131,plain,
% 33.95/22.59 (v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0))),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14130, 1200, 13995])).
% 33.95/22.59 tff(14132,plain,
% 33.95/22.59 (~v129(constB96, bitIndex0)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14131, 14127])).
% 33.95/22.59 tff(14133,plain,
% 33.95/22.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14134,plain,
% 33.95/22.59 (((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0)) <=> ((~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14135,plain,
% 33.95/22.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96))))),
% 33.95/22.59 inference(monotonicity,[status(thm)],[14134])).
% 33.95/22.59 tff(14136,plain,
% 33.95/22.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))),
% 33.95/22.59 inference(transitivity,[status(thm)],[14135, 14133])).
% 33.95/22.59 tff(14137,plain,
% 33.95/22.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14138,plain,
% 33.95/22.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96))),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14137, 14136])).
% 33.95/22.59 tff(14139,plain,
% 33.95/22.59 ((~v90(constB96, bitIndex0)) | (~v100(constB96))),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14138, 1215, 14132])).
% 33.95/22.59 tff(14140,plain,
% 33.95/22.59 (~v90(constB96, bitIndex0)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14139, 14035])).
% 33.95/22.59 tff(14141,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14142,plain,
% 33.95/22.59 (((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0))) <=> (v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14143,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0))))),
% 33.95/22.59 inference(monotonicity,[status(thm)],[14142])).
% 33.95/22.59 tff(14144,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 33.95/22.59 inference(transitivity,[status(thm)],[14143, 14141])).
% 33.95/22.59 tff(14145,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14146,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0))),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14145, 14144])).
% 33.95/22.59 tff(14147,plain,
% 33.95/22.59 (v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0))),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14146, 455, 14063])).
% 33.95/22.59 tff(14148,plain,
% 33.95/22.59 (v90(constB96, bitIndex0) | (~v90(constB97, bitIndex0))),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14147, 14075])).
% 33.95/22.59 tff(14149,plain,
% 33.95/22.59 (~v90(constB97, bitIndex0)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14148, 14140])).
% 33.95/22.59 tff(14150,plain,
% 33.95/22.59 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14151,plain,
% 33.95/22.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14152,plain,
% 33.95/22.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97)),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14151, 14150])).
% 33.95/22.59 tff(14153,plain,
% 33.95/22.59 (v125(constB97)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14152, 2321, 14149, 14115, 14084])).
% 33.95/22.59 tff(14154,plain,
% 33.95/22.59 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB97) | (~v125(constB97)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB97) | (~v125(constB97)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14155,plain,
% 33.95/22.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB97) | (~v125(constB97)))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14156,plain,
% 33.95/22.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB97) | (~v125(constB97))),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14155, 14154])).
% 33.95/22.59 tff(14157,plain,
% 33.95/22.59 (v113(constB97)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14156, 2332, 14153])).
% 33.95/22.59 tff(14158,assumption,(v26(constB97)), introduced(assumption)).
% 33.95/22.59 tff(14159,plain,
% 33.95/22.59 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB97))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14160,plain,
% 33.95/22.59 ($false),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14159, 120, 14158])).
% 33.95/22.59 tff(14161,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 33.95/22.59 tff(14162,plain,
% 33.95/22.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | v112(constB97) | (~v113(constB97)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | v112(constB97) | (~v113(constB97)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14163,plain,
% 33.95/22.59 ((v26(constB97) | (~v113(constB97)) | v112(constB97)) <=> (v26(constB97) | v112(constB97) | (~v113(constB97)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14164,plain,
% 33.95/22.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | v112(constB97) | (~v113(constB97))))),
% 33.95/22.59 inference(monotonicity,[status(thm)],[14163])).
% 33.95/22.59 tff(14165,plain,
% 33.95/22.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | v112(constB97) | (~v113(constB97)))),
% 33.95/22.59 inference(transitivity,[status(thm)],[14164, 14162])).
% 33.95/22.59 tff(14166,plain,
% 33.95/22.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14167,plain,
% 33.95/22.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | v112(constB97) | (~v113(constB97))),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14166, 14165])).
% 33.95/22.59 tff(14168,plain,
% 33.95/22.59 (v112(constB97) | (~v113(constB97))),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14167, 556, 14161])).
% 33.95/22.59 tff(14169,plain,
% 33.95/22.59 (v112(constB97)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14168, 14157])).
% 33.95/22.59 tff(14170,plain,
% 33.95/22.59 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB97) | (~v112(constB97)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14171,plain,
% 33.95/22.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB97) | (~v112(constB97)))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14172,plain,
% 33.95/22.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB97) | (~v112(constB97))),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14171, 14170])).
% 33.95/22.59 tff(14173,plain,
% 33.95/22.59 (v108(constB97)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14172, 568, 14169])).
% 33.95/22.59 tff(14174,plain,
% 33.95/22.59 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14175,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 33.95/22.59 tff(14176,plain,
% 33.95/22.59 (nextState(constB97, constB98)),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14175, 14174])).
% 33.95/22.59 tff(14177,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14178,plain,
% 33.95/22.59 (((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98)) <=> ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14179,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))))),
% 33.95/22.59 inference(monotonicity,[status(thm)],[14178])).
% 33.95/22.59 tff(14180,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 33.95/22.59 inference(transitivity,[status(thm)],[14179, 14177])).
% 33.95/22.59 tff(14181,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14182,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14181, 14180])).
% 33.95/22.59 tff(14183,plain,
% 33.95/22.59 (v110(constB98) | (~v108(constB97))),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14182, 585, 14176])).
% 33.95/22.59 tff(14184,plain,
% 33.95/22.59 (v110(constB98)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14183, 14173])).
% 33.95/22.59 tff(14185,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14186,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14187,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98))),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14186, 14185])).
% 33.95/22.59 tff(14188,plain,
% 33.95/22.59 (~v104(constB98)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14187, 603, 14176, 14060])).
% 33.95/22.59 tff(14189,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14190,plain,
% 33.95/22.59 (((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98)) <=> ((~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14191,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | v102(constB98)))),
% 33.95/22.59 inference(monotonicity,[status(thm)],[14190])).
% 33.95/22.59 tff(14192,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))),
% 33.95/22.59 inference(transitivity,[status(thm)],[14191, 14189])).
% 33.95/22.59 tff(14193,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14194,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | v102(constB98)),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14193, 14192])).
% 33.95/22.59 tff(14195,plain,
% 33.95/22.59 (v104(constB98) | v102(constB98)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14194, 617, 14176])).
% 33.95/22.59 tff(14196,plain,
% 33.95/22.59 (v102(constB98)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14195, 14188])).
% 33.95/22.59 tff(14197,plain,
% 33.95/22.59 (v1(constB98) <=> v1(constB98)),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14198,axiom,(v1(constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 33.95/22.59 tff(14199,plain,
% 33.95/22.59 (v1(constB98)),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14198, 14197])).
% 33.95/22.59 tff(14200,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14201,plain,
% 33.95/22.59 (((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98))) <=> ((~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14202,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98))))),
% 33.95/22.59 inference(monotonicity,[status(thm)],[14201])).
% 33.95/22.59 tff(14203,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))),
% 33.95/22.59 inference(transitivity,[status(thm)],[14202, 14200])).
% 33.95/22.59 tff(14204,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14205,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98))),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14204, 14203])).
% 33.95/22.59 tff(14206,plain,
% 33.95/22.59 (v101(constB98) | (~v102(constB98))),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14205, 638, 14176, 14199])).
% 33.95/22.59 tff(14207,plain,
% 33.95/22.59 (v101(constB98)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14206, 14196])).
% 33.95/22.59 tff(14208,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14209,plain,
% 33.95/22.59 (((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98)) <=> ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 33.95/22.59 inference(rewrite,[status(thm)],[])).
% 33.95/22.59 tff(14210,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))))),
% 33.95/22.59 inference(monotonicity,[status(thm)],[14209])).
% 33.95/22.59 tff(14211,plain,
% 33.95/22.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 33.95/22.59 inference(transitivity,[status(thm)],[14210, 14208])).
% 33.95/22.59 tff(14212,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))),
% 33.95/22.59 inference(quant_inst,[status(thm)],[])).
% 33.95/22.59 tff(14213,plain,
% 33.95/22.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 33.95/22.59 inference(modus_ponens,[status(thm)],[14212, 14211])).
% 33.95/22.59 tff(14214,plain,
% 33.95/22.59 (v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14213, 656, 14176])).
% 33.95/22.59 tff(14215,plain,
% 33.95/22.59 (v100(constB98) | (~v110(constB98))),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14214, 14207])).
% 33.95/22.59 tff(14216,plain,
% 33.95/22.59 (v100(constB98)),
% 33.95/22.59 inference(unit_resolution,[status(thm)],[14215, 14184])).
% 33.95/22.59 tff(14217,plain,
% 33.95/22.59 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB97, bitIndex2)) | (~v121(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB97, bitIndex2)) | (~v121(constB97)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14218,plain,
% 33.95/22.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB97, bitIndex2)) | (~v121(constB97)))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14219,plain,
% 33.95/22.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB97, bitIndex2)) | (~v121(constB97))),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14218, 14217])).
% 33.95/22.60 tff(14220,plain,
% 33.95/22.60 (~v121(constB97)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14219, 2216, 14084])).
% 33.95/22.60 tff(14221,plain,
% 33.95/22.60 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB97, bitIndex2)) | (~v122(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB97, bitIndex2)) | (~v122(constB97)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14222,plain,
% 33.95/22.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB97, bitIndex2)) | (~v122(constB97)))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14223,plain,
% 33.95/22.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB97, bitIndex2)) | (~v122(constB97))),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14222, 14221])).
% 33.95/22.60 tff(14224,plain,
% 33.95/22.60 (~v122(constB97)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14223, 2131, 14084])).
% 33.95/22.60 tff(14225,plain,
% 33.95/22.60 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB97)) | (~v90(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB97)) | (~v90(constB97, bitIndex1)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14226,plain,
% 33.95/22.60 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB97)) | (~v90(constB97, bitIndex1)))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14227,plain,
% 33.95/22.60 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB97)) | (~v90(constB97, bitIndex1))),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14226, 14225])).
% 33.95/22.60 tff(14228,plain,
% 33.95/22.60 (~v119(constB97)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14227, 2230, 14115])).
% 33.95/22.60 tff(14229,plain,
% 33.95/22.60 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v120(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v120(constB97)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14230,plain,
% 33.95/22.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v120(constB97)))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14231,plain,
% 33.95/22.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v120(constB97))),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14230, 14229])).
% 33.95/22.60 tff(14232,plain,
% 33.95/22.60 (~v120(constB97)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14231, 2183, 14115])).
% 33.95/22.60 tff(14233,plain,
% 33.95/22.60 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v123(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v123(constB97)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14234,plain,
% 33.95/22.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v123(constB97)))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14235,plain,
% 33.95/22.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v123(constB97))),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14234, 14233])).
% 33.95/22.60 tff(14236,plain,
% 33.95/22.60 (~v123(constB97)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14235, 2194, 14115])).
% 33.95/22.60 tff(14237,plain,
% 33.95/22.60 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v124(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v124(constB97)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14238,plain,
% 33.95/22.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v124(constB97)))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14239,plain,
% 33.95/22.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v124(constB97))),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14238, 14237])).
% 33.95/22.60 tff(14240,plain,
% 33.95/22.60 (~v124(constB97)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14239, 2205, 14115])).
% 33.95/22.60 tff(14241,plain,
% 33.95/22.60 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14242,plain,
% 33.95/22.60 ((v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2))) <=> (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14243,plain,
% 33.95/22.60 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2))))),
% 33.95/22.60 inference(monotonicity,[status(thm)],[14242])).
% 33.95/22.60 tff(14244,plain,
% 33.95/22.60 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2)))),
% 33.95/22.60 inference(transitivity,[status(thm)],[14243, 14241])).
% 33.95/22.60 tff(14245,plain,
% 33.95/22.60 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2)))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14246,plain,
% 33.95/22.60 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2))),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14245, 14244])).
% 33.95/22.60 tff(14247,plain,
% 33.95/22.60 (~v130(constB97, bitIndex2)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14246, 2244, 14240, 14236, 14232, 14228, 14224, 14220])).
% 33.95/22.60 tff(14248,plain,
% 33.95/22.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14249,plain,
% 33.95/22.60 ((v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2))) <=> ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14250,plain,
% 33.95/22.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)))),
% 33.95/22.60 inference(monotonicity,[status(thm)],[14249])).
% 33.95/22.60 tff(14251,plain,
% 33.95/22.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 33.95/22.60 inference(transitivity,[status(thm)],[14250, 14248])).
% 33.95/22.60 tff(14252,plain,
% 33.95/22.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14253,plain,
% 33.95/22.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14252, 14251])).
% 33.95/22.60 tff(14254,plain,
% 33.95/22.60 ((~v127(constB97, bitIndex2)) | v130(constB97, bitIndex2)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14253, 689, 14161])).
% 33.95/22.60 tff(14255,plain,
% 33.95/22.60 (~v127(constB97, bitIndex2)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14254, 14247])).
% 33.95/22.60 tff(14256,plain,
% 33.95/22.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14257,plain,
% 33.95/22.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14258,plain,
% 33.95/22.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14257, 14256])).
% 33.95/22.60 tff(14259,plain,
% 33.95/22.60 (v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14258, 707, 14176])).
% 33.95/22.60 tff(14260,plain,
% 33.95/22.60 (~v129(constB98, bitIndex2)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14259, 14255])).
% 33.95/22.60 tff(14261,plain,
% 33.95/22.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14262,plain,
% 33.95/22.60 (((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2)) <=> ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14263,plain,
% 33.95/22.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98))))),
% 33.95/22.60 inference(monotonicity,[status(thm)],[14262])).
% 33.95/22.60 tff(14264,plain,
% 33.95/22.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 33.95/22.60 inference(transitivity,[status(thm)],[14263, 14261])).
% 33.95/22.60 tff(14265,plain,
% 33.95/22.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14266,plain,
% 33.95/22.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98))),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14265, 14264])).
% 33.95/22.60 tff(14267,plain,
% 33.95/22.60 ((~v90(constB98, bitIndex2)) | (~v100(constB98))),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14266, 722, 14260])).
% 33.95/22.60 tff(14268,plain,
% 33.95/22.60 (~v90(constB98, bitIndex2)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14267, 14216])).
% 33.95/22.60 tff(14269,plain,
% 33.95/22.60 ((~v1(constB99)) <=> (~v1(constB99))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14270,axiom,(~v1(constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 33.95/22.60 tff(14271,plain,
% 33.95/22.60 (~v1(constB99)),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14270, 14269])).
% 33.95/22.60 tff(14272,plain,
% 33.95/22.60 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14273,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 33.95/22.60 tff(14274,plain,
% 33.95/22.60 (nextState(constB98, constB99)),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14273, 14272])).
% 33.95/22.60 tff(14275,plain,
% 33.95/22.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14276,plain,
% 33.95/22.60 (((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14277,plain,
% 33.95/22.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))))),
% 33.95/22.60 inference(monotonicity,[status(thm)],[14276])).
% 33.95/22.60 tff(14278,plain,
% 33.95/22.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 33.95/22.60 inference(transitivity,[status(thm)],[14277, 14275])).
% 33.95/22.60 tff(14279,plain,
% 33.95/22.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14280,plain,
% 33.95/22.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14279, 14278])).
% 33.95/22.60 tff(14281,plain,
% 33.95/22.60 (~v101(constB99)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14280, 381, 14274, 14271])).
% 33.95/22.60 tff(14282,plain,
% 33.95/22.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14283,plain,
% 33.95/22.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14284,plain,
% 33.95/22.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99))),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14283, 14282])).
% 33.95/22.60 tff(14285,plain,
% 33.95/22.60 (v101(constB99) | (~v100(constB99))),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14284, 398, 14274])).
% 33.95/22.60 tff(14286,plain,
% 33.95/22.60 (~v100(constB99)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14285, 14281])).
% 33.95/22.60 tff(14287,plain,
% 33.95/22.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14288,plain,
% 33.95/22.60 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))) <=> (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14289,plain,
% 33.95/22.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2))))),
% 33.95/22.60 inference(monotonicity,[status(thm)],[14288])).
% 33.95/22.60 tff(14290,plain,
% 33.95/22.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 33.95/22.60 inference(transitivity,[status(thm)],[14289, 14287])).
% 33.95/22.60 tff(14291,plain,
% 33.95/22.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14292,plain,
% 33.95/22.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14291, 14290])).
% 33.95/22.60 tff(14293,plain,
% 33.95/22.60 (v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14292, 413, 14274])).
% 33.95/22.60 tff(14294,plain,
% 33.95/22.60 (v90(constB98, bitIndex2) | (~v90(constB99, bitIndex2))),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14293, 14286])).
% 33.95/22.60 tff(14295,plain,
% 33.95/22.60 (~v90(constB99, bitIndex2)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14294, 14268])).
% 33.95/22.60 tff(14296,plain,
% 33.95/22.60 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14297,plain,
% 33.95/22.60 ((v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1))) <=> (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14298,plain,
% 33.95/22.60 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1))))),
% 33.95/22.60 inference(monotonicity,[status(thm)],[14297])).
% 33.95/22.60 tff(14299,plain,
% 33.95/22.60 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1)))),
% 33.95/22.60 inference(transitivity,[status(thm)],[14298, 14296])).
% 33.95/22.60 tff(14300,plain,
% 33.95/22.60 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1)))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14301,plain,
% 33.95/22.60 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1))),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14300, 14299])).
% 33.95/22.60 tff(14302,plain,
% 33.95/22.60 (~v130(constB97, bitIndex1)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14301, 2448, 14240, 14236, 14232, 14228, 14224, 14220])).
% 33.95/22.60 tff(14303,plain,
% 33.95/22.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14304,plain,
% 33.95/22.60 ((v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1))) <=> ((~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14305,plain,
% 33.95/22.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1)))),
% 33.95/22.60 inference(monotonicity,[status(thm)],[14304])).
% 33.95/22.60 tff(14306,plain,
% 33.95/22.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))),
% 33.95/22.60 inference(transitivity,[status(thm)],[14305, 14303])).
% 33.95/22.60 tff(14307,plain,
% 33.95/22.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1)))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14308,plain,
% 33.95/22.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1)),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14307, 14306])).
% 33.95/22.60 tff(14309,plain,
% 33.95/22.60 ((~v127(constB97, bitIndex1)) | v130(constB97, bitIndex1)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14308, 781, 14161])).
% 33.95/22.60 tff(14310,plain,
% 33.95/22.60 (~v127(constB97, bitIndex1)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14309, 14302])).
% 33.95/22.60 tff(14311,plain,
% 33.95/22.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14312,plain,
% 33.95/22.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1)))),
% 33.95/22.60 inference(quant_inst,[status(thm)],[])).
% 33.95/22.60 tff(14313,plain,
% 33.95/22.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1))),
% 33.95/22.60 inference(modus_ponens,[status(thm)],[14312, 14311])).
% 33.95/22.60 tff(14314,plain,
% 33.95/22.60 (v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1))),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14313, 799, 14176])).
% 33.95/22.60 tff(14315,plain,
% 33.95/22.60 (~v129(constB98, bitIndex1)),
% 33.95/22.60 inference(unit_resolution,[status(thm)],[14314, 14310])).
% 33.95/22.60 tff(14316,plain,
% 33.95/22.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14317,plain,
% 33.95/22.60 (((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1)) <=> ((~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))),
% 33.95/22.60 inference(rewrite,[status(thm)],[])).
% 33.95/22.60 tff(14318,plain,
% 33.95/22.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98))))),
% 33.95/22.60 inference(monotonicity,[status(thm)],[14317])).
% 33.95/22.60 tff(14319,plain,
% 33.95/22.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))),
% 33.95/22.61 inference(transitivity,[status(thm)],[14318, 14316])).
% 33.95/22.61 tff(14320,plain,
% 33.95/22.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14321,plain,
% 33.95/22.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98))),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14320, 14319])).
% 33.95/22.61 tff(14322,plain,
% 33.95/22.61 ((~v90(constB98, bitIndex1)) | (~v100(constB98))),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14321, 814, 14315])).
% 33.95/22.61 tff(14323,plain,
% 33.95/22.61 (~v90(constB98, bitIndex1)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14322, 14216])).
% 33.95/22.61 tff(14324,plain,
% 33.95/22.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14325,plain,
% 33.95/22.61 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1))) <=> (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14326,plain,
% 33.95/22.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1))))),
% 33.95/22.61 inference(monotonicity,[status(thm)],[14325])).
% 33.95/22.61 tff(14327,plain,
% 33.95/22.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 33.95/22.61 inference(transitivity,[status(thm)],[14326, 14324])).
% 33.95/22.61 tff(14328,plain,
% 33.95/22.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14329,plain,
% 33.95/22.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1))),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14328, 14327])).
% 33.95/22.61 tff(14330,plain,
% 33.95/22.61 (v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1))),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14329, 434, 14274])).
% 33.95/22.61 tff(14331,plain,
% 33.95/22.61 (v90(constB98, bitIndex1) | (~v90(constB99, bitIndex1))),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14330, 14286])).
% 33.95/22.61 tff(14332,plain,
% 33.95/22.61 (~v90(constB99, bitIndex1)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14331, 14323])).
% 33.95/22.61 tff(14333,plain,
% 33.95/22.61 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14334,plain,
% 33.95/22.61 ((v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0)) <=> (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14335,plain,
% 33.95/22.61 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0)))),
% 33.95/22.61 inference(monotonicity,[status(thm)],[14334])).
% 33.95/22.61 tff(14336,plain,
% 33.95/22.61 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))),
% 33.95/22.61 inference(transitivity,[status(thm)],[14335, 14333])).
% 33.95/22.61 tff(14337,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14338,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0)),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14337, 14336])).
% 33.95/22.61 tff(14339,plain,
% 33.95/22.61 (v130(constB97, bitIndex0)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14338, 2495, 14240, 14236, 14232, 14228, 14224, 14220])).
% 33.95/22.61 tff(14340,plain,
% 33.95/22.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14341,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14342,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0)),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14341, 14340])).
% 33.95/22.61 tff(14343,plain,
% 33.95/22.61 ((~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14342, 855, 14161])).
% 33.95/22.61 tff(14344,plain,
% 33.95/22.61 (v127(constB97, bitIndex0)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14343, 14339])).
% 33.95/22.61 tff(14345,plain,
% 33.95/22.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14346,plain,
% 33.95/22.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14347,plain,
% 33.95/22.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0)),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14346, 14345])).
% 33.95/22.61 tff(14348,plain,
% 33.95/22.61 ((~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14347, 870, 14176])).
% 33.95/22.61 tff(14349,plain,
% 33.95/22.61 (v129(constB98, bitIndex0)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14348, 14344])).
% 33.95/22.61 tff(14350,plain,
% 33.95/22.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14351,plain,
% 33.95/22.61 ((v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0))) <=> (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14352,plain,
% 33.95/22.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98))))),
% 33.95/22.61 inference(monotonicity,[status(thm)],[14351])).
% 33.95/22.61 tff(14353,plain,
% 33.95/22.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 33.95/22.61 inference(transitivity,[status(thm)],[14352, 14350])).
% 33.95/22.61 tff(14354,plain,
% 33.95/22.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14355,plain,
% 33.95/22.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98))),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14354, 14353])).
% 33.95/22.61 tff(14356,plain,
% 33.95/22.61 (v90(constB98, bitIndex0) | (~v100(constB98))),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14355, 885, 14349])).
% 33.95/22.61 tff(14357,plain,
% 33.95/22.61 (v90(constB98, bitIndex0)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14356, 14216])).
% 33.95/22.61 tff(14358,plain,
% 33.95/22.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14359,plain,
% 33.95/22.61 (((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0)) <=> ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14360,plain,
% 33.95/22.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0)))),
% 33.95/22.61 inference(monotonicity,[status(thm)],[14359])).
% 33.95/22.61 tff(14361,plain,
% 33.95/22.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 33.95/22.61 inference(transitivity,[status(thm)],[14360, 14358])).
% 33.95/22.61 tff(14362,plain,
% 33.95/22.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14363,plain,
% 33.95/22.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0)),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14362, 14361])).
% 33.95/22.61 tff(14364,plain,
% 33.95/22.61 ((~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14363, 903, 14274])).
% 33.95/22.61 tff(14365,plain,
% 33.95/22.61 ((~v90(constB98, bitIndex0)) | v90(constB99, bitIndex0)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14364, 14286])).
% 33.95/22.61 tff(14366,plain,
% 33.95/22.61 (v90(constB99, bitIndex0)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14365, 14357])).
% 33.95/22.61 tff(14367,plain,
% 33.95/22.61 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14368,plain,
% 33.95/22.61 (((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2)) <=> ((~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14369,plain,
% 33.95/22.61 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99)))),
% 33.95/22.61 inference(monotonicity,[status(thm)],[14368])).
% 33.95/22.61 tff(14370,plain,
% 33.95/22.61 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))),
% 33.95/22.61 inference(transitivity,[status(thm)],[14369, 14367])).
% 33.95/22.61 tff(14371,plain,
% 33.95/22.61 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14372,plain,
% 33.95/22.61 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99)),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14371, 14370])).
% 33.95/22.61 tff(14373,plain,
% 33.95/22.61 (v120(constB99)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14372, 922, 14366, 14332, 14295])).
% 33.95/22.61 tff(14374,plain,
% 33.95/22.61 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB99)) | v130(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB99)) | v130(constB99, bitIndex1))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14375,plain,
% 33.95/22.61 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB99)) | v130(constB99, bitIndex1))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14376,plain,
% 33.95/22.61 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB99)) | v130(constB99, bitIndex1)),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14375, 14374])).
% 33.95/22.61 tff(14377,plain,
% 33.95/22.61 (v130(constB99, bitIndex1)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14376, 1087, 14373])).
% 33.95/22.61 tff(14378,plain,
% 33.95/22.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14379,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14380,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14379, 14378])).
% 33.95/22.61 tff(14381,plain,
% 33.95/22.61 (v26(constB99) | v127(constB99, bitIndex1)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14380, 1101, 14377])).
% 33.95/22.61 tff(14382,plain,
% 33.95/22.61 (v127(constB99, bitIndex1)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14381, 341])).
% 33.95/22.61 tff(14383,plain,
% 33.95/22.61 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14384,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 33.95/22.61 tff(14385,plain,
% 33.95/22.61 (nextState(constB99, constB100)),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14384, 14383])).
% 33.95/22.61 tff(14386,plain,
% 33.95/22.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14387,plain,
% 33.95/22.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14388,plain,
% 33.95/22.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14387, 14386])).
% 33.95/22.61 tff(14389,plain,
% 33.95/22.61 ((~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14388, 1116, 14385])).
% 33.95/22.61 tff(14390,plain,
% 33.95/22.61 (v129(constB100, bitIndex1)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14389, 14382])).
% 33.95/22.61 tff(14391,assumption,(~v108(constB99)), introduced(assumption)).
% 33.95/22.61 tff(14392,plain,
% 33.95/22.61 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB99) | (~v112(constB99)))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14393,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB99) | (~v112(constB99)))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14394,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB99) | (~v112(constB99))),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14393, 14392])).
% 33.95/22.61 tff(14395,plain,
% 33.95/22.61 (~v112(constB99)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14394, 568, 14391])).
% 33.95/22.61 tff(14396,plain,
% 33.95/22.61 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB99) | (~v26(constB99)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB99) | (~v26(constB99)))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14397,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB99) | (~v26(constB99)))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14398,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB99) | (~v26(constB99))),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14397, 14396])).
% 33.95/22.61 tff(14399,plain,
% 33.95/22.61 (~v26(constB99)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14398, 2348, 14391])).
% 33.95/22.61 tff(14400,plain,
% 33.95/22.61 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB99) | (~v120(constB99)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB99) | (~v120(constB99)))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14401,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB99) | (~v120(constB99)))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14402,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB99) | (~v120(constB99))),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14401, 14400])).
% 33.95/22.61 tff(14403,plain,
% 33.95/22.61 (v118(constB99)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14402, 936, 14373])).
% 33.95/22.61 tff(14404,plain,
% 33.95/22.61 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB99) | (~v118(constB99)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB99) | (~v118(constB99)))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14405,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB99) | (~v118(constB99)))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14406,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB99) | (~v118(constB99))),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14405, 14404])).
% 33.95/22.61 tff(14407,plain,
% 33.95/22.61 (v117(constB99)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14406, 498, 14403])).
% 33.95/22.61 tff(14408,plain,
% 33.95/22.61 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB99) | (~v117(constB99)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB99) | (~v117(constB99)))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14409,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB99) | (~v117(constB99)))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14410,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB99) | (~v117(constB99))),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14409, 14408])).
% 33.95/22.61 tff(14411,plain,
% 33.95/22.61 (v116(constB99)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14410, 509, 14407])).
% 33.95/22.61 tff(14412,plain,
% 33.95/22.61 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB99) | (~v116(constB99)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB99) | (~v116(constB99)))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14413,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB99) | (~v116(constB99)))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14414,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB99) | (~v116(constB99))),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14413, 14412])).
% 33.95/22.61 tff(14415,plain,
% 33.95/22.61 (v115(constB99)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14414, 520, 14411])).
% 33.95/22.61 tff(14416,plain,
% 33.95/22.61 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB99) | (~v115(constB99)))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14417,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB99) | (~v115(constB99)))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14418,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB99) | (~v115(constB99))),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14417, 14416])).
% 33.95/22.61 tff(14419,plain,
% 33.95/22.61 (v114(constB99)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14418, 531, 14415])).
% 33.95/22.61 tff(14420,plain,
% 33.95/22.61 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB99) | (~v114(constB99)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB99) | (~v114(constB99)))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14421,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB99) | (~v114(constB99)))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14422,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB99) | (~v114(constB99))),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14421, 14420])).
% 33.95/22.61 tff(14423,plain,
% 33.95/22.61 (v113(constB99)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14422, 542, 14419])).
% 33.95/22.61 tff(14424,plain,
% 33.95/22.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14425,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14426,plain,
% 33.95/22.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | (~v113(constB99)) | v112(constB99)),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14425, 14424])).
% 33.95/22.61 tff(14427,plain,
% 33.95/22.61 (v26(constB99) | v112(constB99)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14426, 556, 14423])).
% 33.95/22.61 tff(14428,plain,
% 33.95/22.61 ($false),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14427, 14399, 14395])).
% 33.95/22.61 tff(14429,plain,(v108(constB99)), inference(lemma,lemma(discharge,[]))).
% 33.95/22.61 tff(14430,plain,
% 33.95/22.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14431,plain,
% 33.95/22.61 (((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100)) <=> ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14432,plain,
% 33.95/22.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))))),
% 33.95/22.61 inference(monotonicity,[status(thm)],[14431])).
% 33.95/22.61 tff(14433,plain,
% 33.95/22.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 33.95/22.61 inference(transitivity,[status(thm)],[14432, 14430])).
% 33.95/22.61 tff(14434,plain,
% 33.95/22.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14435,plain,
% 33.95/22.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14434, 14433])).
% 33.95/22.61 tff(14436,plain,
% 33.95/22.61 (v110(constB100) | (~v108(constB99))),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14435, 585, 14385])).
% 33.95/22.61 tff(14437,plain,
% 33.95/22.61 (v110(constB100)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14436, 14429])).
% 33.95/22.61 tff(14438,plain,
% 33.95/22.61 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14439,plain,
% 33.95/22.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 33.95/22.61 inference(quant_inst,[status(thm)],[])).
% 33.95/22.61 tff(14440,plain,
% 33.95/22.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100))),
% 33.95/22.61 inference(modus_ponens,[status(thm)],[14439, 14438])).
% 33.95/22.61 tff(14441,plain,
% 33.95/22.61 (~v104(constB100)),
% 33.95/22.61 inference(unit_resolution,[status(thm)],[14440, 603, 14385, 14271])).
% 33.95/22.61 tff(14442,plain,
% 33.95/22.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14443,plain,
% 33.95/22.61 (((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100)) <=> ((~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))),
% 33.95/22.61 inference(rewrite,[status(thm)],[])).
% 33.95/22.61 tff(14444,plain,
% 33.95/22.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | v102(constB100)))),
% 33.95/22.61 inference(monotonicity,[status(thm)],[14443])).
% 33.95/22.61 tff(14445,plain,
% 33.95/22.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))),
% 33.95/22.62 inference(transitivity,[status(thm)],[14444, 14442])).
% 33.95/22.62 tff(14446,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14447,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | v102(constB100)),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14446, 14445])).
% 33.95/22.62 tff(14448,plain,
% 33.95/22.62 (v104(constB100) | v102(constB100)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14447, 617, 14385])).
% 33.95/22.62 tff(14449,plain,
% 33.95/22.62 (v102(constB100)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14448, 14441])).
% 33.95/22.62 tff(14450,plain,
% 33.95/22.62 (v1(constB100) <=> v1(constB100)),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14451,axiom,(v1(constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 33.95/22.62 tff(14452,plain,
% 33.95/22.62 (v1(constB100)),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14451, 14450])).
% 33.95/22.62 tff(14453,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14454,plain,
% 33.95/22.62 (((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100))) <=> ((~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14455,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100))))),
% 33.95/22.62 inference(monotonicity,[status(thm)],[14454])).
% 33.95/22.62 tff(14456,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))),
% 33.95/22.62 inference(transitivity,[status(thm)],[14455, 14453])).
% 33.95/22.62 tff(14457,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14458,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100))),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14457, 14456])).
% 33.95/22.62 tff(14459,plain,
% 33.95/22.62 (v101(constB100) | (~v102(constB100))),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14458, 638, 14385, 14452])).
% 33.95/22.62 tff(14460,plain,
% 33.95/22.62 (v101(constB100)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14459, 14449])).
% 33.95/22.62 tff(14461,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14462,plain,
% 33.95/22.62 (((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100)) <=> ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14463,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))))),
% 33.95/22.62 inference(monotonicity,[status(thm)],[14462])).
% 33.95/22.62 tff(14464,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 33.95/22.62 inference(transitivity,[status(thm)],[14463, 14461])).
% 33.95/22.62 tff(14465,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14466,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14465, 14464])).
% 33.95/22.62 tff(14467,plain,
% 33.95/22.62 (v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14466, 656, 14385])).
% 33.95/22.62 tff(14468,plain,
% 33.95/22.62 (v100(constB100) | (~v110(constB100))),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14467, 14460])).
% 33.95/22.62 tff(14469,plain,
% 33.95/22.62 (v100(constB100)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14468, 14437])).
% 33.95/22.62 tff(14470,plain,
% 33.95/22.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14471,plain,
% 33.95/22.62 ((v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1))) <=> (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14472,plain,
% 33.95/22.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))))),
% 33.95/22.62 inference(monotonicity,[status(thm)],[14471])).
% 33.95/22.62 tff(14473,plain,
% 33.95/22.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 33.95/22.62 inference(transitivity,[status(thm)],[14472, 14470])).
% 33.95/22.62 tff(14474,plain,
% 33.95/22.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14475,plain,
% 33.95/22.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14474, 14473])).
% 33.95/22.62 tff(14476,plain,
% 33.95/22.62 (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1))),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14475, 1131, 14469])).
% 33.95/22.62 tff(14477,plain,
% 33.95/22.62 (v90(constB100, bitIndex1)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14476, 14390])).
% 33.95/22.62 tff(14478,plain,
% 33.95/22.62 ((~v1(constB101)) <=> (~v1(constB101))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14479,axiom,(~v1(constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 33.95/22.62 tff(14480,plain,
% 33.95/22.62 (~v1(constB101)),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14479, 14478])).
% 33.95/22.62 tff(14481,plain,
% 33.95/22.62 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14482,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 33.95/22.62 tff(14483,plain,
% 33.95/22.62 (nextState(constB100, constB101)),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14482, 14481])).
% 33.95/22.62 tff(14484,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14485,plain,
% 33.95/22.62 (((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14486,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))))),
% 33.95/22.62 inference(monotonicity,[status(thm)],[14485])).
% 33.95/22.62 tff(14487,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 33.95/22.62 inference(transitivity,[status(thm)],[14486, 14484])).
% 33.95/22.62 tff(14488,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14489,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14488, 14487])).
% 33.95/22.62 tff(14490,plain,
% 33.95/22.62 (~v101(constB101)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14489, 381, 14483, 14480])).
% 33.95/22.62 tff(14491,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14492,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14493,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101))),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14492, 14491])).
% 33.95/22.62 tff(14494,plain,
% 33.95/22.62 (v101(constB101) | (~v100(constB101))),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14493, 398, 14483])).
% 33.95/22.62 tff(14495,plain,
% 33.95/22.62 (~v100(constB101)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14494, 14490])).
% 33.95/22.62 tff(14496,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14497,plain,
% 33.95/22.62 (((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)) <=> ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14498,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1)))),
% 33.95/22.62 inference(monotonicity,[status(thm)],[14497])).
% 33.95/22.62 tff(14499,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 33.95/22.62 inference(transitivity,[status(thm)],[14498, 14496])).
% 33.95/22.62 tff(14500,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14501,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1)),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14500, 14499])).
% 33.95/22.62 tff(14502,plain,
% 33.95/22.62 ((~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14501, 1149, 14483])).
% 33.95/22.62 tff(14503,plain,
% 33.95/22.62 ((~v90(constB100, bitIndex1)) | v90(constB101, bitIndex1)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14502, 14495])).
% 33.95/22.62 tff(14504,plain,
% 33.95/22.62 (v90(constB101, bitIndex1)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14503, 14477])).
% 33.95/22.62 tff(14505,plain,
% 33.95/22.62 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB99)) | (~v130(constB99, bitIndex2)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14506,plain,
% 33.95/22.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex2)))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14507,plain,
% 33.95/22.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB99)) | (~v130(constB99, bitIndex2))),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14506, 14505])).
% 33.95/22.62 tff(14508,plain,
% 33.95/22.62 (~v130(constB99, bitIndex2)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14507, 1025, 14373])).
% 33.95/22.62 tff(14509,plain,
% 33.95/22.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14510,plain,
% 33.95/22.62 ((v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2))) <=> ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14511,plain,
% 33.95/22.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)))),
% 33.95/22.62 inference(monotonicity,[status(thm)],[14510])).
% 33.95/22.62 tff(14512,plain,
% 33.95/22.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 33.95/22.62 inference(transitivity,[status(thm)],[14511, 14509])).
% 33.95/22.62 tff(14513,plain,
% 33.95/22.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14514,plain,
% 33.95/22.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14513, 14512])).
% 33.95/22.62 tff(14515,plain,
% 33.95/22.62 ((~v127(constB99, bitIndex2)) | v26(constB99)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14514, 689, 14508])).
% 33.95/22.62 tff(14516,plain,
% 33.95/22.62 (~v127(constB99, bitIndex2)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14515, 341])).
% 33.95/22.62 tff(14517,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14518,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14519,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14518, 14517])).
% 33.95/22.62 tff(14520,plain,
% 33.95/22.62 (v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14519, 707, 14385])).
% 33.95/22.62 tff(14521,plain,
% 33.95/22.62 (~v129(constB100, bitIndex2)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14520, 14516])).
% 33.95/22.62 tff(14522,plain,
% 33.95/22.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14523,plain,
% 33.95/22.62 (((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2)) <=> ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14524,plain,
% 33.95/22.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100))))),
% 33.95/22.62 inference(monotonicity,[status(thm)],[14523])).
% 33.95/22.62 tff(14525,plain,
% 33.95/22.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 33.95/22.62 inference(transitivity,[status(thm)],[14524, 14522])).
% 33.95/22.62 tff(14526,plain,
% 33.95/22.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14527,plain,
% 33.95/22.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100))),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14526, 14525])).
% 33.95/22.62 tff(14528,plain,
% 33.95/22.62 ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14527, 722, 14469])).
% 33.95/22.62 tff(14529,plain,
% 33.95/22.62 (~v90(constB100, bitIndex2)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14528, 14521])).
% 33.95/22.62 tff(14530,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14531,plain,
% 33.95/22.62 (((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))) <=> (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14532,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2))))),
% 33.95/22.62 inference(monotonicity,[status(thm)],[14531])).
% 33.95/22.62 tff(14533,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 33.95/22.62 inference(transitivity,[status(thm)],[14532, 14530])).
% 33.95/22.62 tff(14534,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14535,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14534, 14533])).
% 33.95/22.62 tff(14536,plain,
% 33.95/22.62 (v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14535, 413, 14483])).
% 33.95/22.62 tff(14537,plain,
% 33.95/22.62 (v90(constB100, bitIndex2) | (~v90(constB101, bitIndex2))),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14536, 14495])).
% 33.95/22.62 tff(14538,plain,
% 33.95/22.62 (~v90(constB101, bitIndex2)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14537, 14529])).
% 33.95/22.62 tff(14539,plain,
% 33.95/22.62 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB99)) | (~v130(constB99, bitIndex0)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14540,plain,
% 33.95/22.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex0)))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14541,plain,
% 33.95/22.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB99)) | (~v130(constB99, bitIndex0))),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14540, 14539])).
% 33.95/22.62 tff(14542,plain,
% 33.95/22.62 (~v130(constB99, bitIndex0)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14541, 1168, 14373])).
% 33.95/22.62 tff(14543,assumption,(v127(constB99, bitIndex0)), introduced(assumption)).
% 33.95/22.62 tff(14544,assumption,(~v130(constB99, bitIndex0)), introduced(assumption)).
% 33.95/22.62 tff(14545,plain,
% 33.95/22.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14546,plain,
% 33.95/22.62 ((v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0))) <=> ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14547,plain,
% 33.95/22.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0)))),
% 33.95/22.62 inference(monotonicity,[status(thm)],[14546])).
% 33.95/22.62 tff(14548,plain,
% 33.95/22.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 33.95/22.62 inference(transitivity,[status(thm)],[14547, 14545])).
% 33.95/22.62 tff(14549,plain,
% 33.95/22.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14550,plain,
% 33.95/22.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0)),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14549, 14548])).
% 33.95/22.62 tff(14551,plain,
% 33.95/22.62 ((~v127(constB99, bitIndex0)) | v26(constB99)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14550, 1182, 14544])).
% 33.95/22.62 tff(14552,plain,
% 33.95/22.62 (v26(constB99)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14551, 14543])).
% 33.95/22.62 tff(14553,plain,
% 33.95/22.62 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB99)) | (~v127(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB99)) | (~v127(constB99, bitIndex0)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14554,plain,
% 33.95/22.62 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB99)) | (~v127(constB99, bitIndex0)))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14555,plain,
% 33.95/22.62 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB99)) | (~v127(constB99, bitIndex0))),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14554, 14553])).
% 33.95/22.62 tff(14556,plain,
% 33.95/22.62 ($false),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14555, 3012, 14543, 14552])).
% 33.95/22.62 tff(14557,plain,((~v127(constB99, bitIndex0)) | v130(constB99, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 33.95/22.62 tff(14558,plain,
% 33.95/22.62 (~v127(constB99, bitIndex0)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14557, 14542])).
% 33.95/22.62 tff(14559,plain,
% 33.95/22.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14560,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))),
% 33.95/22.62 inference(quant_inst,[status(thm)],[])).
% 33.95/22.62 tff(14561,plain,
% 33.95/22.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0))),
% 33.95/22.62 inference(modus_ponens,[status(thm)],[14560, 14559])).
% 33.95/22.62 tff(14562,plain,
% 33.95/22.62 (v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0))),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14561, 1200, 14385])).
% 33.95/22.62 tff(14563,plain,
% 33.95/22.62 (~v129(constB100, bitIndex0)),
% 33.95/22.62 inference(unit_resolution,[status(thm)],[14562, 14558])).
% 33.95/22.62 tff(14564,plain,
% 33.95/22.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14565,plain,
% 33.95/22.62 (((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0)) <=> ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 33.95/22.62 inference(rewrite,[status(thm)],[])).
% 33.95/22.62 tff(14566,plain,
% 33.95/22.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100))))),
% 33.95/22.62 inference(monotonicity,[status(thm)],[14565])).
% 33.95/22.62 tff(14567,plain,
% 33.95/22.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 33.95/22.63 inference(transitivity,[status(thm)],[14566, 14564])).
% 33.95/22.63 tff(14568,plain,
% 33.95/22.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))),
% 33.95/22.63 inference(quant_inst,[status(thm)],[])).
% 33.95/22.63 tff(14569,plain,
% 33.95/22.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100))),
% 33.95/22.63 inference(modus_ponens,[status(thm)],[14568, 14567])).
% 33.95/22.63 tff(14570,plain,
% 33.95/22.63 ((~v90(constB100, bitIndex0)) | (~v100(constB100))),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14569, 1215, 14563])).
% 33.95/22.63 tff(14571,plain,
% 33.95/22.63 (~v90(constB100, bitIndex0)),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14570, 14469])).
% 33.95/22.63 tff(14572,plain,
% 33.95/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14573,plain,
% 33.95/22.63 (((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0))) <=> (v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14574,plain,
% 33.95/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0))))),
% 33.95/22.63 inference(monotonicity,[status(thm)],[14573])).
% 33.95/22.63 tff(14575,plain,
% 33.95/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 33.95/22.63 inference(transitivity,[status(thm)],[14574, 14572])).
% 33.95/22.63 tff(14576,plain,
% 33.95/22.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 33.95/22.63 inference(quant_inst,[status(thm)],[])).
% 33.95/22.63 tff(14577,plain,
% 33.95/22.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0))),
% 33.95/22.63 inference(modus_ponens,[status(thm)],[14576, 14575])).
% 33.95/22.63 tff(14578,plain,
% 33.95/22.63 (v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0))),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14577, 455, 14483])).
% 33.95/22.63 tff(14579,plain,
% 33.95/22.63 (v90(constB100, bitIndex0) | (~v90(constB101, bitIndex0))),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14578, 14495])).
% 33.95/22.63 tff(14580,plain,
% 33.95/22.63 (~v90(constB101, bitIndex0)),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14579, 14571])).
% 33.95/22.63 tff(14581,plain,
% 33.95/22.63 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14582,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))),
% 33.95/22.63 inference(quant_inst,[status(thm)],[])).
% 33.95/22.63 tff(14583,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101)),
% 33.95/22.63 inference(modus_ponens,[status(thm)],[14582, 14581])).
% 33.95/22.63 tff(14584,plain,
% 33.95/22.63 ((~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101)),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14583, 1242, 14580])).
% 33.95/22.63 tff(14585,plain,
% 33.95/22.63 ($false),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14584, 14538, 14504, 340])).
% 33.95/22.63 tff(14586,plain,(v26(constB99) | v121(constB101)), inference(lemma,lemma(discharge,[]))).
% 33.95/22.63 tff(14587,plain,
% 33.95/22.63 (v121(constB101)),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14586, 339])).
% 33.95/22.63 tff(14588,plain,
% 33.95/22.63 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB101) | (~v121(constB101)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB101) | (~v121(constB101)))),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14589,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB101) | (~v121(constB101)))),
% 33.95/22.63 inference(quant_inst,[status(thm)],[])).
% 33.95/22.63 tff(14590,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB101) | (~v121(constB101))),
% 33.95/22.63 inference(modus_ponens,[status(thm)],[14589, 14588])).
% 33.95/22.63 tff(14591,plain,
% 33.95/22.63 (v117(constB101)),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14590, 1253, 14587])).
% 33.95/22.63 tff(14592,plain,
% 33.95/22.63 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB101) | (~v117(constB101)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB101) | (~v117(constB101)))),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14593,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB101) | (~v117(constB101)))),
% 33.95/22.63 inference(quant_inst,[status(thm)],[])).
% 33.95/22.63 tff(14594,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB101) | (~v117(constB101))),
% 33.95/22.63 inference(modus_ponens,[status(thm)],[14593, 14592])).
% 33.95/22.63 tff(14595,plain,
% 33.95/22.63 (v116(constB101)),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14594, 509, 14591])).
% 33.95/22.63 tff(14596,plain,
% 33.95/22.63 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB101) | (~v116(constB101)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB101) | (~v116(constB101)))),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14597,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB101) | (~v116(constB101)))),
% 33.95/22.63 inference(quant_inst,[status(thm)],[])).
% 33.95/22.63 tff(14598,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB101) | (~v116(constB101))),
% 33.95/22.63 inference(modus_ponens,[status(thm)],[14597, 14596])).
% 33.95/22.63 tff(14599,plain,
% 33.95/22.63 (v115(constB101)),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14598, 520, 14595])).
% 33.95/22.63 tff(14600,plain,
% 33.95/22.63 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB101) | (~v115(constB101)))),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14601,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB101) | (~v115(constB101)))),
% 33.95/22.63 inference(quant_inst,[status(thm)],[])).
% 33.95/22.63 tff(14602,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB101) | (~v115(constB101))),
% 33.95/22.63 inference(modus_ponens,[status(thm)],[14601, 14600])).
% 33.95/22.63 tff(14603,plain,
% 33.95/22.63 (v114(constB101)),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14602, 531, 14599])).
% 33.95/22.63 tff(14604,plain,
% 33.95/22.63 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB101) | (~v114(constB101)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB101) | (~v114(constB101)))),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14605,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB101) | (~v114(constB101)))),
% 33.95/22.63 inference(quant_inst,[status(thm)],[])).
% 33.95/22.63 tff(14606,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB101) | (~v114(constB101))),
% 33.95/22.63 inference(modus_ponens,[status(thm)],[14605, 14604])).
% 33.95/22.63 tff(14607,plain,
% 33.95/22.63 (v113(constB101)),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14606, 542, 14603])).
% 33.95/22.63 tff(14608,assumption,(v26(constB101)), introduced(assumption)).
% 33.95/22.63 tff(14609,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB101))),
% 33.95/22.63 inference(quant_inst,[status(thm)],[])).
% 33.95/22.63 tff(14610,plain,
% 33.95/22.63 ($false),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14609, 120, 14608])).
% 33.95/22.63 tff(14611,plain,(~v26(constB101)), inference(lemma,lemma(discharge,[]))).
% 33.95/22.63 tff(14612,plain,
% 33.95/22.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | v112(constB101) | (~v113(constB101)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14613,plain,
% 33.95/22.63 ((v26(constB101) | (~v113(constB101)) | v112(constB101)) <=> (v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14614,plain,
% 33.95/22.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | v112(constB101) | (~v113(constB101))))),
% 33.95/22.63 inference(monotonicity,[status(thm)],[14613])).
% 33.95/22.63 tff(14615,plain,
% 33.95/22.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 33.95/22.63 inference(transitivity,[status(thm)],[14614, 14612])).
% 33.95/22.63 tff(14616,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 33.95/22.63 inference(quant_inst,[status(thm)],[])).
% 33.95/22.63 tff(14617,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101))),
% 33.95/22.63 inference(modus_ponens,[status(thm)],[14616, 14615])).
% 33.95/22.63 tff(14618,plain,
% 33.95/22.63 (v112(constB101) | (~v113(constB101))),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14617, 556, 14611])).
% 33.95/22.63 tff(14619,plain,
% 33.95/22.63 (v112(constB101)),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14618, 14607])).
% 33.95/22.63 tff(14620,plain,
% 33.95/22.63 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB101) | (~v112(constB101)))),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14621,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB101) | (~v112(constB101)))),
% 33.95/22.63 inference(quant_inst,[status(thm)],[])).
% 33.95/22.63 tff(14622,plain,
% 33.95/22.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB101) | (~v112(constB101))),
% 33.95/22.63 inference(modus_ponens,[status(thm)],[14621, 14620])).
% 33.95/22.63 tff(14623,plain,
% 33.95/22.63 (v108(constB101)),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14622, 568, 14619])).
% 33.95/22.63 tff(14624,plain,
% 33.95/22.63 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14625,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 33.95/22.63 tff(14626,plain,
% 33.95/22.63 (nextState(constB101, constB102)),
% 33.95/22.63 inference(modus_ponens,[status(thm)],[14625, 14624])).
% 33.95/22.63 tff(14627,plain,
% 33.95/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14628,plain,
% 33.95/22.63 (((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102)) <=> ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14629,plain,
% 33.95/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))))),
% 33.95/22.63 inference(monotonicity,[status(thm)],[14628])).
% 33.95/22.63 tff(14630,plain,
% 33.95/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 33.95/22.63 inference(transitivity,[status(thm)],[14629, 14627])).
% 33.95/22.63 tff(14631,plain,
% 33.95/22.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))),
% 33.95/22.63 inference(quant_inst,[status(thm)],[])).
% 33.95/22.63 tff(14632,plain,
% 33.95/22.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))),
% 33.95/22.63 inference(modus_ponens,[status(thm)],[14631, 14630])).
% 33.95/22.63 tff(14633,plain,
% 33.95/22.63 (v110(constB102) | (~v108(constB101))),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14632, 585, 14626])).
% 33.95/22.63 tff(14634,plain,
% 33.95/22.63 (v110(constB102)),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14633, 14623])).
% 33.95/22.63 tff(14635,plain,
% 33.95/22.63 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14636,plain,
% 33.95/22.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 33.95/22.63 inference(quant_inst,[status(thm)],[])).
% 33.95/22.63 tff(14637,plain,
% 33.95/22.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102))),
% 33.95/22.63 inference(modus_ponens,[status(thm)],[14636, 14635])).
% 33.95/22.63 tff(14638,plain,
% 33.95/22.63 (~v104(constB102)),
% 33.95/22.63 inference(unit_resolution,[status(thm)],[14637, 603, 14626, 14480])).
% 33.95/22.63 tff(14639,plain,
% 33.95/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))),
% 33.95/22.63 inference(rewrite,[status(thm)],[])).
% 33.95/22.63 tff(14640,plain,
% 33.95/22.63 (((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102)) <=> ((~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14641,plain,
% 34.04/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | v102(constB102)))),
% 34.04/22.63 inference(monotonicity,[status(thm)],[14640])).
% 34.04/22.63 tff(14642,plain,
% 34.04/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))),
% 34.04/22.63 inference(transitivity,[status(thm)],[14641, 14639])).
% 34.04/22.63 tff(14643,plain,
% 34.04/22.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 34.04/22.63 inference(quant_inst,[status(thm)],[])).
% 34.04/22.63 tff(14644,plain,
% 34.04/22.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | v102(constB102)),
% 34.04/22.63 inference(modus_ponens,[status(thm)],[14643, 14642])).
% 34.04/22.63 tff(14645,plain,
% 34.04/22.63 (v104(constB102) | v102(constB102)),
% 34.04/22.63 inference(unit_resolution,[status(thm)],[14644, 617, 14626])).
% 34.04/22.63 tff(14646,plain,
% 34.04/22.63 (v102(constB102)),
% 34.04/22.63 inference(unit_resolution,[status(thm)],[14645, 14638])).
% 34.04/22.63 tff(14647,plain,
% 34.04/22.63 (v1(constB102) <=> v1(constB102)),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14648,axiom,(v1(constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 34.04/22.63 tff(14649,plain,
% 34.04/22.63 (v1(constB102)),
% 34.04/22.63 inference(modus_ponens,[status(thm)],[14648, 14647])).
% 34.04/22.63 tff(14650,plain,
% 34.04/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14651,plain,
% 34.04/22.63 (((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102))) <=> ((~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14652,plain,
% 34.04/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102))))),
% 34.04/22.63 inference(monotonicity,[status(thm)],[14651])).
% 34.04/22.63 tff(14653,plain,
% 34.04/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))),
% 34.04/22.63 inference(transitivity,[status(thm)],[14652, 14650])).
% 34.04/22.63 tff(14654,plain,
% 34.04/22.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 34.04/22.63 inference(quant_inst,[status(thm)],[])).
% 34.04/22.63 tff(14655,plain,
% 34.04/22.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102))),
% 34.04/22.63 inference(modus_ponens,[status(thm)],[14654, 14653])).
% 34.04/22.63 tff(14656,plain,
% 34.04/22.63 (v101(constB102) | (~v102(constB102))),
% 34.04/22.63 inference(unit_resolution,[status(thm)],[14655, 638, 14626, 14649])).
% 34.04/22.63 tff(14657,plain,
% 34.04/22.63 (v101(constB102)),
% 34.04/22.63 inference(unit_resolution,[status(thm)],[14656, 14646])).
% 34.04/22.63 tff(14658,plain,
% 34.04/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14659,plain,
% 34.04/22.63 (((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102)) <=> ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14660,plain,
% 34.04/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))))),
% 34.04/22.63 inference(monotonicity,[status(thm)],[14659])).
% 34.04/22.63 tff(14661,plain,
% 34.04/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 34.04/22.63 inference(transitivity,[status(thm)],[14660, 14658])).
% 34.04/22.63 tff(14662,plain,
% 34.04/22.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))),
% 34.04/22.63 inference(quant_inst,[status(thm)],[])).
% 34.04/22.63 tff(14663,plain,
% 34.04/22.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 34.04/22.63 inference(modus_ponens,[status(thm)],[14662, 14661])).
% 34.04/22.63 tff(14664,plain,
% 34.04/22.63 (v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 34.04/22.63 inference(unit_resolution,[status(thm)],[14663, 656, 14626])).
% 34.04/22.63 tff(14665,plain,
% 34.04/22.63 (v100(constB102) | (~v110(constB102))),
% 34.04/22.63 inference(unit_resolution,[status(thm)],[14664, 14657])).
% 34.04/22.63 tff(14666,plain,
% 34.04/22.63 (v100(constB102)),
% 34.04/22.63 inference(unit_resolution,[status(thm)],[14665, 14634])).
% 34.04/22.63 tff(14667,plain,
% 34.04/22.63 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB101)) | (~v130(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB101)) | (~v130(constB101, bitIndex2)))),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14668,plain,
% 34.04/22.63 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB101)) | (~v130(constB101, bitIndex2)))),
% 34.04/22.63 inference(quant_inst,[status(thm)],[])).
% 34.04/22.63 tff(14669,plain,
% 34.04/22.63 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB101)) | (~v130(constB101, bitIndex2))),
% 34.04/22.63 inference(modus_ponens,[status(thm)],[14668, 14667])).
% 34.04/22.63 tff(14670,plain,
% 34.04/22.63 (~v130(constB101, bitIndex2)),
% 34.04/22.63 inference(unit_resolution,[status(thm)],[14669, 1342, 14587])).
% 34.04/22.63 tff(14671,plain,
% 34.04/22.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14672,plain,
% 34.04/22.63 ((v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2))) <=> ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14673,plain,
% 34.04/22.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2)))),
% 34.04/22.63 inference(monotonicity,[status(thm)],[14672])).
% 34.04/22.63 tff(14674,plain,
% 34.04/22.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 34.04/22.63 inference(transitivity,[status(thm)],[14673, 14671])).
% 34.04/22.63 tff(14675,plain,
% 34.04/22.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))),
% 34.04/22.63 inference(quant_inst,[status(thm)],[])).
% 34.04/22.63 tff(14676,plain,
% 34.04/22.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2)),
% 34.04/22.63 inference(modus_ponens,[status(thm)],[14675, 14674])).
% 34.04/22.63 tff(14677,plain,
% 34.04/22.63 ((~v127(constB101, bitIndex2)) | v130(constB101, bitIndex2)),
% 34.04/22.63 inference(unit_resolution,[status(thm)],[14676, 689, 14611])).
% 34.04/22.63 tff(14678,plain,
% 34.04/22.63 (~v127(constB101, bitIndex2)),
% 34.04/22.63 inference(unit_resolution,[status(thm)],[14677, 14670])).
% 34.04/22.63 tff(14679,plain,
% 34.04/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14680,plain,
% 34.04/22.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))),
% 34.04/22.63 inference(quant_inst,[status(thm)],[])).
% 34.04/22.63 tff(14681,plain,
% 34.04/22.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2))),
% 34.04/22.63 inference(modus_ponens,[status(thm)],[14680, 14679])).
% 34.04/22.63 tff(14682,plain,
% 34.04/22.63 (v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2))),
% 34.04/22.63 inference(unit_resolution,[status(thm)],[14681, 707, 14626])).
% 34.04/22.63 tff(14683,plain,
% 34.04/22.63 (~v129(constB102, bitIndex2)),
% 34.04/22.63 inference(unit_resolution,[status(thm)],[14682, 14678])).
% 34.04/22.63 tff(14684,plain,
% 34.04/22.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14685,plain,
% 34.04/22.63 (((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2)) <=> ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14686,plain,
% 34.04/22.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102))))),
% 34.04/22.63 inference(monotonicity,[status(thm)],[14685])).
% 34.04/22.63 tff(14687,plain,
% 34.04/22.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))),
% 34.04/22.63 inference(transitivity,[status(thm)],[14686, 14684])).
% 34.04/22.63 tff(14688,plain,
% 34.04/22.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2))),
% 34.04/22.63 inference(quant_inst,[status(thm)],[])).
% 34.04/22.63 tff(14689,plain,
% 34.04/22.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102))),
% 34.04/22.63 inference(modus_ponens,[status(thm)],[14688, 14687])).
% 34.04/22.63 tff(14690,plain,
% 34.04/22.63 ((~v90(constB102, bitIndex2)) | (~v100(constB102))),
% 34.04/22.63 inference(unit_resolution,[status(thm)],[14689, 722, 14683])).
% 34.04/22.63 tff(14691,plain,
% 34.04/22.63 (~v90(constB102, bitIndex2)),
% 34.04/22.63 inference(unit_resolution,[status(thm)],[14690, 14666])).
% 34.04/22.63 tff(14692,plain,
% 34.04/22.63 ((~v1(constB103)) <=> (~v1(constB103))),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14693,axiom,(~v1(constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 34.04/22.63 tff(14694,plain,
% 34.04/22.63 (~v1(constB103)),
% 34.04/22.63 inference(modus_ponens,[status(thm)],[14693, 14692])).
% 34.04/22.63 tff(14695,plain,
% 34.04/22.63 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14696,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 34.04/22.63 tff(14697,plain,
% 34.04/22.63 (nextState(constB102, constB103)),
% 34.04/22.63 inference(modus_ponens,[status(thm)],[14696, 14695])).
% 34.04/22.63 tff(14698,plain,
% 34.04/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14699,plain,
% 34.04/22.63 (((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 34.04/22.63 inference(rewrite,[status(thm)],[])).
% 34.04/22.63 tff(14700,plain,
% 34.04/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))))),
% 34.04/22.63 inference(monotonicity,[status(thm)],[14699])).
% 34.04/22.63 tff(14701,plain,
% 34.04/22.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 34.04/22.63 inference(transitivity,[status(thm)],[14700, 14698])).
% 34.04/22.63 tff(14702,plain,
% 34.04/22.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14703,plain,
% 34.04/22.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14702, 14701])).
% 34.04/22.64 tff(14704,plain,
% 34.04/22.64 (~v101(constB103)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14703, 381, 14697, 14694])).
% 34.04/22.64 tff(14705,plain,
% 34.04/22.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14706,plain,
% 34.04/22.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14707,plain,
% 34.04/22.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103))),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14706, 14705])).
% 34.04/22.64 tff(14708,plain,
% 34.04/22.64 (v101(constB103) | (~v100(constB103))),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14707, 398, 14697])).
% 34.04/22.64 tff(14709,plain,
% 34.04/22.64 (~v100(constB103)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14708, 14704])).
% 34.04/22.64 tff(14710,plain,
% 34.04/22.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14711,plain,
% 34.04/22.64 (((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2))) <=> (v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14712,plain,
% 34.04/22.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2))))),
% 34.04/22.64 inference(monotonicity,[status(thm)],[14711])).
% 34.04/22.64 tff(14713,plain,
% 34.04/22.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 34.04/22.64 inference(transitivity,[status(thm)],[14712, 14710])).
% 34.04/22.64 tff(14714,plain,
% 34.04/22.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14715,plain,
% 34.04/22.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2))),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14714, 14713])).
% 34.04/22.64 tff(14716,plain,
% 34.04/22.64 (v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2))),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14715, 413, 14697])).
% 34.04/22.64 tff(14717,plain,
% 34.04/22.64 (v90(constB102, bitIndex2) | (~v90(constB103, bitIndex2))),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14716, 14709])).
% 34.04/22.64 tff(14718,plain,
% 34.04/22.64 (~v90(constB103, bitIndex2)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14717, 14691])).
% 34.04/22.64 tff(14719,plain,
% 34.04/22.64 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB101)) | v130(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB101)) | v130(constB101, bitIndex1))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14720,plain,
% 34.04/22.64 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB101)) | v130(constB101, bitIndex1))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14721,plain,
% 34.04/22.64 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB101)) | v130(constB101, bitIndex1)),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14720, 14719])).
% 34.04/22.64 tff(14722,plain,
% 34.04/22.64 (v130(constB101, bitIndex1)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14721, 1404, 14587])).
% 34.04/22.64 tff(14723,plain,
% 34.04/22.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14724,plain,
% 34.04/22.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14725,plain,
% 34.04/22.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1)),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14724, 14723])).
% 34.04/22.64 tff(14726,plain,
% 34.04/22.64 ((~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14725, 1101, 14611])).
% 34.04/22.64 tff(14727,plain,
% 34.04/22.64 (v127(constB101, bitIndex1)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14726, 14722])).
% 34.04/22.64 tff(14728,plain,
% 34.04/22.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14729,plain,
% 34.04/22.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14730,plain,
% 34.04/22.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1)),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14729, 14728])).
% 34.04/22.64 tff(14731,plain,
% 34.04/22.64 ((~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14730, 1116, 14626])).
% 34.04/22.64 tff(14732,plain,
% 34.04/22.64 (v129(constB102, bitIndex1)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14731, 14727])).
% 34.04/22.64 tff(14733,plain,
% 34.04/22.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14734,plain,
% 34.04/22.64 ((v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1))) <=> (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14735,plain,
% 34.04/22.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102))))),
% 34.04/22.64 inference(monotonicity,[status(thm)],[14734])).
% 34.04/22.64 tff(14736,plain,
% 34.04/22.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 34.04/22.64 inference(transitivity,[status(thm)],[14735, 14733])).
% 34.04/22.64 tff(14737,plain,
% 34.04/22.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14738,plain,
% 34.04/22.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102))),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14737, 14736])).
% 34.04/22.64 tff(14739,plain,
% 34.04/22.64 (v90(constB102, bitIndex1) | (~v100(constB102))),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14738, 1131, 14732])).
% 34.04/22.64 tff(14740,plain,
% 34.04/22.64 (v90(constB102, bitIndex1)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14739, 14666])).
% 34.04/22.64 tff(14741,plain,
% 34.04/22.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14742,plain,
% 34.04/22.64 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1)) <=> ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14743,plain,
% 34.04/22.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1)))),
% 34.04/22.64 inference(monotonicity,[status(thm)],[14742])).
% 34.04/22.64 tff(14744,plain,
% 34.04/22.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 34.04/22.64 inference(transitivity,[status(thm)],[14743, 14741])).
% 34.04/22.64 tff(14745,plain,
% 34.04/22.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14746,plain,
% 34.04/22.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1)),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14745, 14744])).
% 34.04/22.64 tff(14747,plain,
% 34.04/22.64 ((~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14746, 1149, 14697])).
% 34.04/22.64 tff(14748,plain,
% 34.04/22.64 ((~v90(constB102, bitIndex1)) | v90(constB103, bitIndex1)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14747, 14709])).
% 34.04/22.64 tff(14749,plain,
% 34.04/22.64 (v90(constB103, bitIndex1)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14748, 14740])).
% 34.04/22.64 tff(14750,plain,
% 34.04/22.64 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB101)) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB101)) | v130(constB101, bitIndex0))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14751,plain,
% 34.04/22.64 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB101)) | v130(constB101, bitIndex0))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14752,plain,
% 34.04/22.64 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB101)) | v130(constB101, bitIndex0)),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14751, 14750])).
% 34.04/22.64 tff(14753,plain,
% 34.04/22.64 (v130(constB101, bitIndex0)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14752, 1445, 14587])).
% 34.04/22.64 tff(14754,plain,
% 34.04/22.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14755,plain,
% 34.04/22.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14756,plain,
% 34.04/22.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0)),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14755, 14754])).
% 34.04/22.64 tff(14757,plain,
% 34.04/22.64 ((~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14756, 855, 14611])).
% 34.04/22.64 tff(14758,plain,
% 34.04/22.64 (v127(constB101, bitIndex0)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14757, 14753])).
% 34.04/22.64 tff(14759,plain,
% 34.04/22.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14760,plain,
% 34.04/22.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14761,plain,
% 34.04/22.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0)),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14760, 14759])).
% 34.04/22.64 tff(14762,plain,
% 34.04/22.64 ((~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14761, 870, 14626])).
% 34.04/22.64 tff(14763,plain,
% 34.04/22.64 (v129(constB102, bitIndex0)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14762, 14758])).
% 34.04/22.64 tff(14764,plain,
% 34.04/22.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14765,plain,
% 34.04/22.64 ((v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0))) <=> (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14766,plain,
% 34.04/22.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102))))),
% 34.04/22.64 inference(monotonicity,[status(thm)],[14765])).
% 34.04/22.64 tff(14767,plain,
% 34.04/22.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 34.04/22.64 inference(transitivity,[status(thm)],[14766, 14764])).
% 34.04/22.64 tff(14768,plain,
% 34.04/22.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14769,plain,
% 34.04/22.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102))),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14768, 14767])).
% 34.04/22.64 tff(14770,plain,
% 34.04/22.64 (v90(constB102, bitIndex0) | (~v100(constB102))),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14769, 885, 14763])).
% 34.04/22.64 tff(14771,plain,
% 34.04/22.64 (v90(constB102, bitIndex0)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14770, 14666])).
% 34.04/22.64 tff(14772,plain,
% 34.04/22.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14773,plain,
% 34.04/22.64 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0)) <=> ((~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14774,plain,
% 34.04/22.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0)))),
% 34.04/22.64 inference(monotonicity,[status(thm)],[14773])).
% 34.04/22.64 tff(14775,plain,
% 34.04/22.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))),
% 34.04/22.64 inference(transitivity,[status(thm)],[14774, 14772])).
% 34.04/22.64 tff(14776,plain,
% 34.04/22.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14777,plain,
% 34.04/22.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0)),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14776, 14775])).
% 34.04/22.64 tff(14778,plain,
% 34.04/22.64 ((~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14777, 903, 14697])).
% 34.04/22.64 tff(14779,plain,
% 34.04/22.64 ((~v90(constB102, bitIndex0)) | v90(constB103, bitIndex0)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14778, 14709])).
% 34.04/22.64 tff(14780,plain,
% 34.04/22.64 (v90(constB103, bitIndex0)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14779, 14771])).
% 34.04/22.64 tff(14781,plain,
% 34.04/22.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14782,plain,
% 34.04/22.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14783,plain,
% 34.04/22.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103)),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14782, 14781])).
% 34.04/22.64 tff(14784,plain,
% 34.04/22.64 (v122(constB103)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14783, 1486, 14780, 14749, 14718])).
% 34.04/22.64 tff(14785,plain,
% 34.04/22.64 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB103)) | (~v130(constB103, bitIndex1)))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14786,plain,
% 34.04/22.64 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex1)))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14787,plain,
% 34.04/22.64 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB103)) | (~v130(constB103, bitIndex1))),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14786, 14785])).
% 34.04/22.64 tff(14788,plain,
% 34.04/22.64 (~v130(constB103, bitIndex1)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14787, 1677, 14784])).
% 34.04/22.64 tff(14789,assumption,(v26(constB103)), introduced(assumption)).
% 34.04/22.64 tff(14790,plain,
% 34.04/22.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB103))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14791,plain,
% 34.04/22.64 ($false),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14790, 120, 14789])).
% 34.04/22.64 tff(14792,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 34.04/22.64 tff(14793,plain,
% 34.04/22.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14794,plain,
% 34.04/22.64 ((v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1))) <=> ((~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14795,plain,
% 34.04/22.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1)))),
% 34.04/22.64 inference(monotonicity,[status(thm)],[14794])).
% 34.04/22.64 tff(14796,plain,
% 34.04/22.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))),
% 34.04/22.64 inference(transitivity,[status(thm)],[14795, 14793])).
% 34.04/22.64 tff(14797,plain,
% 34.04/22.64 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1)))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14798,plain,
% 34.04/22.64 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1)),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14797, 14796])).
% 34.04/22.64 tff(14799,plain,
% 34.04/22.64 ((~v127(constB103, bitIndex1)) | v130(constB103, bitIndex1)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14798, 781, 14792])).
% 34.04/22.64 tff(14800,plain,
% 34.04/22.64 (~v127(constB103, bitIndex1)),
% 34.04/22.64 inference(unit_resolution,[status(thm)],[14799, 14788])).
% 34.04/22.64 tff(14801,plain,
% 34.04/22.64 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14802,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 34.04/22.64 tff(14803,plain,
% 34.04/22.64 (nextState(constB103, constB104)),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14802, 14801])).
% 34.04/22.64 tff(14804,plain,
% 34.04/22.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1)))),
% 34.04/22.64 inference(rewrite,[status(thm)],[])).
% 34.04/22.64 tff(14805,plain,
% 34.04/22.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1)))),
% 34.04/22.64 inference(quant_inst,[status(thm)],[])).
% 34.04/22.64 tff(14806,plain,
% 34.04/22.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1))),
% 34.04/22.64 inference(modus_ponens,[status(thm)],[14805, 14804])).
% 34.04/22.65 tff(14807,plain,
% 34.04/22.65 (v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1))),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14806, 799, 14803])).
% 34.04/22.65 tff(14808,plain,
% 34.04/22.65 (~v129(constB104, bitIndex1)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14807, 14800])).
% 34.04/22.65 tff(14809,assumption,(v122(constB103)), introduced(assumption)).
% 34.04/22.65 tff(14810,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB103) | (~v122(constB103)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB103) | (~v122(constB103)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14811,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB103) | (~v122(constB103)))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14812,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB103) | (~v122(constB103))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14811, 14810])).
% 34.04/22.65 tff(14813,plain,
% 34.04/22.65 (v116(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14812, 1497, 14809])).
% 34.04/22.65 tff(14814,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB103) | (~v116(constB103)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB103) | (~v116(constB103)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14815,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB103) | (~v116(constB103)))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14816,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB103) | (~v116(constB103))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14815, 14814])).
% 34.04/22.65 tff(14817,plain,
% 34.04/22.65 (v115(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14816, 520, 14813])).
% 34.04/22.65 tff(14818,plain,
% 34.04/22.65 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB103)) | (~v130(constB103, bitIndex0)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14819,plain,
% 34.04/22.65 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex0)))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14820,plain,
% 34.04/22.65 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB103)) | (~v130(constB103, bitIndex0))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14819, 14818])).
% 34.04/22.65 tff(14821,plain,
% 34.04/22.65 (~v130(constB103, bitIndex0)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14820, 1721, 14809])).
% 34.04/22.65 tff(14822,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14823,plain,
% 34.04/22.65 ((v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0))) <=> ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14824,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)))),
% 34.04/22.65 inference(monotonicity,[status(thm)],[14823])).
% 34.04/22.65 tff(14825,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 34.04/22.65 inference(transitivity,[status(thm)],[14824, 14822])).
% 34.04/22.65 tff(14826,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14827,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14826, 14825])).
% 34.04/22.65 tff(14828,plain,
% 34.04/22.65 ((~v127(constB103, bitIndex0)) | v130(constB103, bitIndex0)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14827, 1182, 14792])).
% 34.04/22.65 tff(14829,plain,
% 34.04/22.65 (~v127(constB103, bitIndex0)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14828, 14821])).
% 34.04/22.65 tff(14830,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14831,plain,
% 34.04/22.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14832,plain,
% 34.04/22.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14831, 14830])).
% 34.04/22.65 tff(14833,plain,
% 34.04/22.65 (v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14832, 1200, 14803])).
% 34.04/22.65 tff(14834,plain,
% 34.04/22.65 (~v129(constB104, bitIndex0)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14833, 14829])).
% 34.04/22.65 tff(14835,assumption,(v90(constB104, bitIndex0)), introduced(assumption)).
% 34.04/22.65 tff(14836,plain,
% 34.04/22.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14837,plain,
% 34.04/22.65 (((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0)) <=> ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14838,plain,
% 34.04/22.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))))),
% 34.04/22.65 inference(monotonicity,[status(thm)],[14837])).
% 34.04/22.65 tff(14839,plain,
% 34.04/22.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 34.04/22.65 inference(transitivity,[status(thm)],[14838, 14836])).
% 34.04/22.65 tff(14840,plain,
% 34.04/22.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14841,plain,
% 34.04/22.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14840, 14839])).
% 34.04/22.65 tff(14842,plain,
% 34.04/22.65 (v129(constB104, bitIndex0) | (~v100(constB104))),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14841, 1215, 14835])).
% 34.04/22.65 tff(14843,plain,
% 34.04/22.65 (~v100(constB104)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14842, 14834])).
% 34.04/22.65 tff(14844,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14845,plain,
% 34.04/22.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14846,plain,
% 34.04/22.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14845, 14844])).
% 34.04/22.65 tff(14847,plain,
% 34.04/22.65 (~v104(constB104)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14846, 603, 14803, 14694])).
% 34.04/22.65 tff(14848,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14849,plain,
% 34.04/22.65 (((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104)) <=> ((~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14850,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | v102(constB104)))),
% 34.04/22.65 inference(monotonicity,[status(thm)],[14849])).
% 34.04/22.65 tff(14851,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))),
% 34.04/22.65 inference(transitivity,[status(thm)],[14850, 14848])).
% 34.04/22.65 tff(14852,plain,
% 34.04/22.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14853,plain,
% 34.04/22.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | v102(constB104)),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14852, 14851])).
% 34.04/22.65 tff(14854,plain,
% 34.04/22.65 (v104(constB104) | v102(constB104)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14853, 617, 14803])).
% 34.04/22.65 tff(14855,plain,
% 34.04/22.65 (v102(constB104)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14854, 14847])).
% 34.04/22.65 tff(14856,plain,
% 34.04/22.65 (v1(constB104) <=> v1(constB104)),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14857,axiom,(v1(constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 34.04/22.65 tff(14858,plain,
% 34.04/22.65 (v1(constB104)),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14857, 14856])).
% 34.04/22.65 tff(14859,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14860,plain,
% 34.04/22.65 (((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104))) <=> ((~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14861,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104))))),
% 34.04/22.65 inference(monotonicity,[status(thm)],[14860])).
% 34.04/22.65 tff(14862,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))),
% 34.04/22.65 inference(transitivity,[status(thm)],[14861, 14859])).
% 34.04/22.65 tff(14863,plain,
% 34.04/22.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14864,plain,
% 34.04/22.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14863, 14862])).
% 34.04/22.65 tff(14865,plain,
% 34.04/22.65 (v101(constB104) | (~v102(constB104))),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14864, 638, 14803, 14858])).
% 34.04/22.65 tff(14866,plain,
% 34.04/22.65 (v101(constB104)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14865, 14855])).
% 34.04/22.65 tff(14867,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14868,plain,
% 34.04/22.65 (((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104)) <=> ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14869,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))))),
% 34.04/22.65 inference(monotonicity,[status(thm)],[14868])).
% 34.04/22.65 tff(14870,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 34.04/22.65 inference(transitivity,[status(thm)],[14869, 14867])).
% 34.04/22.65 tff(14871,plain,
% 34.04/22.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14872,plain,
% 34.04/22.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14871, 14870])).
% 34.04/22.65 tff(14873,plain,
% 34.04/22.65 (v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14872, 656, 14803])).
% 34.04/22.65 tff(14874,plain,
% 34.04/22.65 (v100(constB104) | (~v110(constB104))),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14873, 14866])).
% 34.04/22.65 tff(14875,plain,
% 34.04/22.65 (~v110(constB104)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14874, 14843])).
% 34.04/22.65 tff(14876,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14877,plain,
% 34.04/22.65 (((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104)) <=> ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14878,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))))),
% 34.04/22.65 inference(monotonicity,[status(thm)],[14877])).
% 34.04/22.65 tff(14879,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 34.04/22.65 inference(transitivity,[status(thm)],[14878, 14876])).
% 34.04/22.65 tff(14880,plain,
% 34.04/22.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14881,plain,
% 34.04/22.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14880, 14879])).
% 34.04/22.65 tff(14882,plain,
% 34.04/22.65 (v110(constB104) | (~v108(constB103))),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14881, 585, 14803])).
% 34.04/22.65 tff(14883,plain,
% 34.04/22.65 (~v108(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14882, 14875])).
% 34.04/22.65 tff(14884,assumption,(~v108(constB103)), introduced(assumption)).
% 34.04/22.65 tff(14885,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB103) | (~v112(constB103)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB103) | (~v112(constB103)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14886,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB103) | (~v112(constB103)))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14887,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB103) | (~v112(constB103))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14886, 14885])).
% 34.04/22.65 tff(14888,plain,
% 34.04/22.65 (~v112(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14887, 568, 14884])).
% 34.04/22.65 tff(14889,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB103) | (~v26(constB103)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB103) | (~v26(constB103)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14890,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB103) | (~v26(constB103)))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14891,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB103) | (~v26(constB103))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14890, 14889])).
% 34.04/22.65 tff(14892,plain,
% 34.04/22.65 (~v26(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14891, 2348, 14884])).
% 34.04/22.65 tff(14893,assumption,(v113(constB103)), introduced(assumption)).
% 34.04/22.65 tff(14894,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14895,plain,
% 34.04/22.65 ((v26(constB103) | (~v113(constB103)) | v112(constB103)) <=> (v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14896,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103))))),
% 34.04/22.65 inference(monotonicity,[status(thm)],[14895])).
% 34.04/22.65 tff(14897,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 34.04/22.65 inference(transitivity,[status(thm)],[14896, 14894])).
% 34.04/22.65 tff(14898,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14899,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14898, 14897])).
% 34.04/22.65 tff(14900,plain,
% 34.04/22.65 (v26(constB103) | v112(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14899, 556, 14893])).
% 34.04/22.65 tff(14901,plain,
% 34.04/22.65 ($false),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14900, 14892, 14888])).
% 34.04/22.65 tff(14902,plain,(v108(constB103) | (~v113(constB103))), inference(lemma,lemma(discharge,[]))).
% 34.04/22.65 tff(14903,plain,
% 34.04/22.65 (~v113(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14902, 14883])).
% 34.04/22.65 tff(14904,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB103) | (~v114(constB103)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB103) | (~v114(constB103)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14905,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB103) | (~v114(constB103)))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14906,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB103) | (~v114(constB103))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14905, 14904])).
% 34.04/22.65 tff(14907,plain,
% 34.04/22.65 (~v114(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14906, 542, 14903])).
% 34.04/22.65 tff(14908,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB103) | (~v115(constB103)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB103) | (~v115(constB103)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14909,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB103) | (~v115(constB103)))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14910,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB103) | (~v115(constB103))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14909, 14908])).
% 34.04/22.65 tff(14911,plain,
% 34.04/22.65 ($false),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14910, 531, 14907, 14817])).
% 34.04/22.65 tff(14912,plain,((~v122(constB103)) | (~v90(constB104, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.04/22.65 tff(14913,plain,
% 34.04/22.65 (~v90(constB104, bitIndex0)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14912, 14784])).
% 34.04/22.65 tff(14914,assumption,(~v100(constB104)), introduced(assumption)).
% 34.04/22.65 tff(14915,plain,
% 34.04/22.65 (~v110(constB104)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14874, 14914])).
% 34.04/22.65 tff(14916,plain,
% 34.04/22.65 (~v108(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14882, 14915])).
% 34.04/22.65 tff(14917,plain,
% 34.04/22.65 (~v113(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14902, 14916])).
% 34.04/22.65 tff(14918,plain,
% 34.04/22.65 (~v114(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14906, 542, 14917])).
% 34.04/22.65 tff(14919,plain,
% 34.04/22.65 (~v115(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14910, 531, 14918])).
% 34.04/22.65 tff(14920,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB103) | (~v123(constB103)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB103) | (~v123(constB103)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14921,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB103) | (~v123(constB103)))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14922,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB103) | (~v123(constB103))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14921, 14920])).
% 34.04/22.65 tff(14923,plain,
% 34.04/22.65 (~v123(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14922, 1776, 14919])).
% 34.04/22.65 tff(14924,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB103) | (~v125(constB103)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB103) | (~v125(constB103)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14925,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB103) | (~v125(constB103)))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14926,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB103) | (~v125(constB103))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14925, 14924])).
% 34.04/22.65 tff(14927,plain,
% 34.04/22.65 (~v125(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14926, 2332, 14917])).
% 34.04/22.65 tff(14928,assumption,(~v90(constB104, bitIndex0)), introduced(assumption)).
% 34.04/22.65 tff(14929,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB103, bitIndex0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB103, bitIndex0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, bitIndex0))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14930,plain,
% 34.04/22.65 (((~nextState(constB103, constB104)) | (~v90(constB103, bitIndex0)) | v100(constB104) | v90(constB104, bitIndex0)) <=> ((~v90(constB103, bitIndex0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, bitIndex0))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14931,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB103, constB104)) | (~v90(constB103, bitIndex0)) | v100(constB104) | v90(constB104, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB103, bitIndex0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, bitIndex0)))),
% 34.04/22.65 inference(monotonicity,[status(thm)],[14930])).
% 34.04/22.65 tff(14932,plain,
% 34.04/22.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB103, constB104)) | (~v90(constB103, bitIndex0)) | v100(constB104) | v90(constB104, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB103, bitIndex0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, bitIndex0))),
% 34.04/22.65 inference(transitivity,[status(thm)],[14931, 14929])).
% 34.04/22.65 tff(14933,plain,
% 34.04/22.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB103, constB104)) | (~v90(constB103, bitIndex0)) | v100(constB104) | v90(constB104, bitIndex0))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14934,plain,
% 34.04/22.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB103, bitIndex0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, bitIndex0)),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14933, 14932])).
% 34.04/22.65 tff(14935,plain,
% 34.04/22.65 ((~v90(constB103, bitIndex0)) | v100(constB104) | v90(constB104, bitIndex0)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14934, 903, 14803])).
% 34.04/22.65 tff(14936,plain,
% 34.04/22.65 (~v90(constB103, bitIndex0)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14935, 14914, 14928])).
% 34.04/22.65 tff(14937,plain,
% 34.04/22.65 (~v116(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14816, 520, 14919])).
% 34.04/22.65 tff(14938,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB103) | (~v117(constB103)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB103) | (~v117(constB103)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14939,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB103) | (~v117(constB103)))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14940,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB103) | (~v117(constB103))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14939, 14938])).
% 34.04/22.65 tff(14941,plain,
% 34.04/22.65 (~v117(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14940, 509, 14937])).
% 34.04/22.65 tff(14942,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB103) | (~v121(constB103)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB103) | (~v121(constB103)))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14943,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB103) | (~v121(constB103)))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14944,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB103) | (~v121(constB103))),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14943, 14942])).
% 34.04/22.65 tff(14945,plain,
% 34.04/22.65 (~v121(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14944, 1253, 14941])).
% 34.04/22.65 tff(14946,assumption,(v90(constB103, bitIndex1)), introduced(assumption)).
% 34.04/22.65 tff(14947,assumption,(~v90(constB103, bitIndex0)), introduced(assumption)).
% 34.04/22.65 tff(14948,assumption,(~v125(constB103)), introduced(assumption)).
% 34.04/22.65 tff(14949,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex2)) | v125(constB103))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex2)) | v125(constB103))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14950,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex2)) | v125(constB103))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14951,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex2)) | v125(constB103)),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14950, 14949])).
% 34.04/22.65 tff(14952,plain,
% 34.04/22.65 (v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex2))),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14951, 2321, 14948])).
% 34.04/22.65 tff(14953,plain,
% 34.04/22.65 (~v90(constB103, bitIndex2)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14952, 14947, 14946])).
% 34.04/22.65 tff(14954,assumption,(~v121(constB103)), introduced(assumption)).
% 34.04/22.65 tff(14955,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v121(constB103))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v121(constB103))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14956,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v121(constB103))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14957,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v121(constB103)),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14956, 14955])).
% 34.04/22.65 tff(14958,plain,
% 34.04/22.65 (v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14957, 1242, 14954])).
% 34.04/22.65 tff(14959,plain,
% 34.04/22.65 ($false),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14958, 14953, 14947, 14946])).
% 34.04/22.65 tff(14960,plain,(v90(constB103, bitIndex0) | (~v90(constB103, bitIndex1)) | v121(constB103) | v125(constB103)), inference(lemma,lemma(discharge,[]))).
% 34.04/22.65 tff(14961,plain,
% 34.04/22.65 (~v90(constB103, bitIndex1)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14960, 14945, 14936, 14927])).
% 34.04/22.65 tff(14962,plain,
% 34.04/22.65 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103))),
% 34.04/22.65 inference(rewrite,[status(thm)],[])).
% 34.04/22.65 tff(14963,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103))),
% 34.04/22.65 inference(quant_inst,[status(thm)],[])).
% 34.04/22.65 tff(14964,plain,
% 34.04/22.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103)),
% 34.04/22.65 inference(modus_ponens,[status(thm)],[14963, 14962])).
% 34.04/22.65 tff(14965,plain,
% 34.04/22.65 (v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14964, 1765, 14936])).
% 34.04/22.65 tff(14966,plain,
% 34.04/22.65 (~v90(constB103, bitIndex2)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14965, 14961, 14923])).
% 34.04/22.65 tff(14967,plain,
% 34.04/22.65 (~v90(constB102, bitIndex0)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14779, 14936])).
% 34.04/22.65 tff(14968,plain,
% 34.04/22.65 (~v90(constB102, bitIndex1)),
% 34.04/22.65 inference(unit_resolution,[status(thm)],[14748, 14961])).
% 34.04/22.65 tff(14969,assumption,(~v90(constB102, bitIndex2)), introduced(assumption)).
% 34.04/22.66 tff(14970,assumption,(~v90(constB102, bitIndex1)), introduced(assumption)).
% 34.04/22.66 tff(14971,assumption,(~v90(constB102, bitIndex0)), introduced(assumption)).
% 34.04/22.66 tff(14972,assumption,(v100(constB102)), introduced(assumption)).
% 34.04/22.66 tff(14973,plain,
% 34.04/22.66 ((~v129(constB102, bitIndex1)) | (~v100(constB102))),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14738, 1131, 14970])).
% 34.04/22.66 tff(14974,plain,
% 34.04/22.66 (~v129(constB102, bitIndex1)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14973, 14972])).
% 34.04/22.66 tff(14975,plain,
% 34.04/22.66 (~v127(constB101, bitIndex1)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14731, 14974])).
% 34.04/22.66 tff(14976,plain,
% 34.04/22.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(14977,plain,
% 34.04/22.66 ((v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2))) <=> (v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(14978,plain,
% 34.04/22.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102))))),
% 34.04/22.66 inference(monotonicity,[status(thm)],[14977])).
% 34.04/22.66 tff(14979,plain,
% 34.04/22.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))),
% 34.04/22.66 inference(transitivity,[status(thm)],[14978, 14976])).
% 34.04/22.66 tff(14980,plain,
% 34.04/22.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2)))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(14981,plain,
% 34.04/22.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102))),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[14980, 14979])).
% 34.04/22.66 tff(14982,plain,
% 34.04/22.66 ((~v129(constB102, bitIndex2)) | (~v100(constB102))),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14981, 1622, 14969])).
% 34.04/22.66 tff(14983,plain,
% 34.04/22.66 (~v129(constB102, bitIndex2)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14982, 14972])).
% 34.04/22.66 tff(14984,plain,
% 34.04/22.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(14985,plain,
% 34.04/22.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(14986,plain,
% 34.04/22.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2)),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[14985, 14984])).
% 34.04/22.66 tff(14987,plain,
% 34.04/22.66 ((~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14986, 1607, 14626])).
% 34.04/22.66 tff(14988,plain,
% 34.04/22.66 (~v127(constB101, bitIndex2)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14987, 14983])).
% 34.04/22.66 tff(14989,assumption,(~v26(constB101)), introduced(assumption)).
% 34.04/22.66 tff(14990,assumption,(~v127(constB101, bitIndex1)), introduced(assumption)).
% 34.04/22.66 tff(14991,plain,
% 34.04/22.66 (v26(constB101) | (~v130(constB101, bitIndex1))),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14725, 1101, 14990])).
% 34.04/22.66 tff(14992,plain,
% 34.04/22.66 (~v130(constB101, bitIndex1)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14991, 14989])).
% 34.04/22.66 tff(14993,plain,
% 34.04/22.66 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB101)) | v130(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB101)) | v130(constB101, bitIndex1))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(14994,plain,
% 34.04/22.66 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB101)) | v130(constB101, bitIndex1))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(14995,plain,
% 34.04/22.66 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB101)) | v130(constB101, bitIndex1)),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[14994, 14993])).
% 34.04/22.66 tff(14996,plain,
% 34.04/22.66 (~v120(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14995, 1087, 14992])).
% 34.04/22.66 tff(14997,plain,
% 34.04/22.66 (~v121(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14721, 1404, 14992])).
% 34.04/22.66 tff(14998,assumption,(~v127(constB101, bitIndex2)), introduced(assumption)).
% 34.04/22.66 tff(14999,plain,
% 34.04/22.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15000,plain,
% 34.04/22.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(15001,plain,
% 34.04/22.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2)),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[15000, 14999])).
% 34.04/22.66 tff(15002,plain,
% 34.04/22.66 (v26(constB101) | (~v130(constB101, bitIndex2))),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15001, 1592, 14998])).
% 34.04/22.66 tff(15003,plain,
% 34.04/22.66 (~v130(constB101, bitIndex2)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15002, 14989])).
% 34.04/22.66 tff(15004,plain,
% 34.04/22.66 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB101)) | v130(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB101)) | v130(constB101, bitIndex2))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15005,plain,
% 34.04/22.66 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB101)) | v130(constB101, bitIndex2))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(15006,plain,
% 34.04/22.66 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB101)) | v130(constB101, bitIndex2)),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[15005, 15004])).
% 34.04/22.66 tff(15007,plain,
% 34.04/22.66 (~v122(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15006, 1578, 15003])).
% 34.04/22.66 tff(15008,plain,
% 34.04/22.66 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB101)) | v130(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB101)) | v130(constB101, bitIndex2))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15009,plain,
% 34.04/22.66 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB101)) | v130(constB101, bitIndex2))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(15010,plain,
% 34.04/22.66 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB101)) | v130(constB101, bitIndex2)),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[15009, 15008])).
% 34.04/22.66 tff(15011,plain,
% 34.04/22.66 (~v123(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15010, 1850, 15003])).
% 34.04/22.66 tff(15012,plain,
% 34.04/22.66 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB101)) | v130(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB101)) | v130(constB101, bitIndex2))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15013,plain,
% 34.04/22.66 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB101)) | v130(constB101, bitIndex2))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(15014,plain,
% 34.04/22.66 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB101)) | v130(constB101, bitIndex2)),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[15013, 15012])).
% 34.04/22.66 tff(15015,plain,
% 34.04/22.66 (~v124(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15014, 2075, 15003])).
% 34.04/22.66 tff(15016,assumption,(~v130(constB101, bitIndex0)), introduced(assumption)).
% 34.04/22.66 tff(15017,assumption,(~v120(constB101)), introduced(assumption)).
% 34.04/22.66 tff(15018,assumption,(~v122(constB101)), introduced(assumption)).
% 34.04/22.66 tff(15019,assumption,(~v123(constB101)), introduced(assumption)).
% 34.04/22.66 tff(15020,assumption,(~v124(constB101)), introduced(assumption)).
% 34.04/22.66 tff(15021,plain,
% 34.04/22.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB101, bitIndex0) | v124(constB101) | v123(constB101) | v122(constB101) | v121(constB101) | v120(constB101) | v119(constB101))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB101, bitIndex0) | v124(constB101) | v123(constB101) | v122(constB101) | v121(constB101) | v120(constB101) | v119(constB101))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15022,plain,
% 34.04/22.66 ((v120(constB101) | v119(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | v130(constB101, bitIndex0)) <=> (v130(constB101, bitIndex0) | v124(constB101) | v123(constB101) | v122(constB101) | v121(constB101) | v120(constB101) | v119(constB101))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15023,plain,
% 34.04/22.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB101) | v119(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB101, bitIndex0) | v124(constB101) | v123(constB101) | v122(constB101) | v121(constB101) | v120(constB101) | v119(constB101)))),
% 34.04/22.66 inference(monotonicity,[status(thm)],[15022])).
% 34.04/22.66 tff(15024,plain,
% 34.04/22.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB101) | v119(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB101, bitIndex0) | v124(constB101) | v123(constB101) | v122(constB101) | v121(constB101) | v120(constB101) | v119(constB101))),
% 34.04/22.66 inference(transitivity,[status(thm)],[15023, 15021])).
% 34.04/22.66 tff(15025,plain,
% 34.04/22.66 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB101) | v119(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | v130(constB101, bitIndex0))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(15026,plain,
% 34.04/22.66 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB101, bitIndex0) | v124(constB101) | v123(constB101) | v122(constB101) | v121(constB101) | v120(constB101) | v119(constB101)),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[15025, 15024])).
% 34.04/22.66 tff(15027,plain,
% 34.04/22.66 (v130(constB101, bitIndex0) | v119(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15026, 2495, 15020, 15019, 15018, 340, 15017])).
% 34.04/22.66 tff(15028,plain,
% 34.04/22.66 (v119(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15027, 15016])).
% 34.04/22.66 tff(15029,plain,
% 34.04/22.66 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB101)) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB101)) | v130(constB101, bitIndex0))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15030,plain,
% 34.04/22.66 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB101)) | v130(constB101, bitIndex0))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(15031,plain,
% 34.04/22.66 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB101)) | v130(constB101, bitIndex0)),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[15030, 15029])).
% 34.04/22.66 tff(15032,plain,
% 34.04/22.66 ($false),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15031, 841, 15016, 15028])).
% 34.04/22.66 tff(15033,plain,(v130(constB101, bitIndex0) | v124(constB101) | v123(constB101) | v122(constB101) | v121(constB101) | v120(constB101)), inference(lemma,lemma(discharge,[]))).
% 34.04/22.66 tff(15034,plain,
% 34.04/22.66 (v130(constB101, bitIndex0)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15033, 15015, 15011, 15007, 14997, 14996])).
% 34.04/22.66 tff(15035,plain,
% 34.04/22.66 ((~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14756, 855, 14989])).
% 34.04/22.66 tff(15036,plain,
% 34.04/22.66 (v127(constB101, bitIndex0)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15035, 15034])).
% 34.04/22.66 tff(15037,plain,
% 34.04/22.66 (v129(constB102, bitIndex0)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14762, 15036])).
% 34.04/22.66 tff(15038,plain,
% 34.04/22.66 ((~v129(constB102, bitIndex0)) | (~v100(constB102))),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14769, 885, 14971])).
% 34.04/22.66 tff(15039,plain,
% 34.04/22.66 (~v100(constB102)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15038, 15037])).
% 34.04/22.66 tff(15040,plain,
% 34.04/22.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB101, bitIndex2)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB101, bitIndex2)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex2))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15041,plain,
% 34.04/22.66 (((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex2)) | v100(constB102) | v90(constB102, bitIndex2)) <=> ((~v90(constB101, bitIndex2)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex2))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15042,plain,
% 34.04/22.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex2)) | v100(constB102) | v90(constB102, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB101, bitIndex2)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex2)))),
% 34.04/22.66 inference(monotonicity,[status(thm)],[15041])).
% 34.04/22.66 tff(15043,plain,
% 34.04/22.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex2)) | v100(constB102) | v90(constB102, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB101, bitIndex2)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex2))),
% 34.04/22.66 inference(transitivity,[status(thm)],[15042, 15040])).
% 34.04/22.66 tff(15044,plain,
% 34.04/22.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex2)) | v100(constB102) | v90(constB102, bitIndex2))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(15045,plain,
% 34.04/22.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB101, bitIndex2)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex2)),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[15044, 15043])).
% 34.04/22.66 tff(15046,plain,
% 34.04/22.66 ((~v90(constB101, bitIndex2)) | v100(constB102) | v90(constB102, bitIndex2)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15045, 1658, 14626])).
% 34.04/22.66 tff(15047,plain,
% 34.04/22.66 (~v90(constB101, bitIndex2)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15046, 15039, 14969])).
% 34.04/22.66 tff(15048,plain,
% 34.04/22.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex1))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15049,plain,
% 34.04/22.66 (((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex1)) | v100(constB102) | v90(constB102, bitIndex1)) <=> ((~v90(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex1))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15050,plain,
% 34.04/22.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex1)) | v100(constB102) | v90(constB102, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex1)))),
% 34.04/22.66 inference(monotonicity,[status(thm)],[15049])).
% 34.04/22.66 tff(15051,plain,
% 34.04/22.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex1)) | v100(constB102) | v90(constB102, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex1))),
% 34.04/22.66 inference(transitivity,[status(thm)],[15050, 15048])).
% 34.04/22.66 tff(15052,plain,
% 34.04/22.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex1)) | v100(constB102) | v90(constB102, bitIndex1))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(15053,plain,
% 34.04/22.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex1)),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[15052, 15051])).
% 34.04/22.66 tff(15054,plain,
% 34.04/22.66 ((~v90(constB101, bitIndex1)) | v100(constB102) | v90(constB102, bitIndex1)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15053, 1149, 14626])).
% 34.04/22.66 tff(15055,plain,
% 34.04/22.66 (~v90(constB101, bitIndex1)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15054, 15039, 14970])).
% 34.04/22.66 tff(15056,plain,
% 34.04/22.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB101, bitIndex0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB101, bitIndex0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex0))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15057,plain,
% 34.04/22.66 (((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex0)) | v100(constB102) | v90(constB102, bitIndex0)) <=> ((~v90(constB101, bitIndex0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex0))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15058,plain,
% 34.04/22.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex0)) | v100(constB102) | v90(constB102, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB101, bitIndex0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex0)))),
% 34.04/22.66 inference(monotonicity,[status(thm)],[15057])).
% 34.04/22.66 tff(15059,plain,
% 34.04/22.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex0)) | v100(constB102) | v90(constB102, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB101, bitIndex0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex0))),
% 34.04/22.66 inference(transitivity,[status(thm)],[15058, 15056])).
% 34.04/22.66 tff(15060,plain,
% 34.04/22.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v90(constB101, bitIndex0)) | v100(constB102) | v90(constB102, bitIndex0))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(15061,plain,
% 34.04/22.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB101, bitIndex0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, bitIndex0)),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[15060, 15059])).
% 34.04/22.66 tff(15062,plain,
% 34.04/22.66 ((~v90(constB101, bitIndex0)) | v100(constB102) | v90(constB102, bitIndex0)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15061, 903, 14626])).
% 34.04/22.66 tff(15063,plain,
% 34.04/22.66 (~v90(constB101, bitIndex0)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15062, 15039, 14971])).
% 34.04/22.66 tff(15064,plain,
% 34.04/22.66 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB101) | v90(constB101, bitIndex0) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB101) | v90(constB101, bitIndex0) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15065,plain,
% 34.04/22.66 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB101) | v90(constB101, bitIndex0) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(15066,plain,
% 34.04/22.66 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB101) | v90(constB101, bitIndex0) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2)),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[15065, 15064])).
% 34.04/22.66 tff(15067,plain,
% 34.04/22.66 (v119(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15066, 476, 15063, 15055, 15047])).
% 34.04/22.66 tff(15068,plain,
% 34.04/22.66 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB101) | (~v119(constB101)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB101) | (~v119(constB101)))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15069,plain,
% 34.04/22.66 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB101) | (~v119(constB101)))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(15070,plain,
% 34.04/22.66 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB101) | (~v119(constB101))),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[15069, 15068])).
% 34.04/22.66 tff(15071,plain,
% 34.04/22.66 (v118(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15070, 487, 15067])).
% 34.04/22.66 tff(15072,plain,
% 34.04/22.66 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB101) | (~v118(constB101)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB101) | (~v118(constB101)))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15073,plain,
% 34.04/22.66 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB101) | (~v118(constB101)))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(15074,plain,
% 34.04/22.66 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB101) | (~v118(constB101))),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[15073, 15072])).
% 34.04/22.66 tff(15075,plain,
% 34.04/22.66 (v117(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15074, 498, 15071])).
% 34.04/22.66 tff(15076,plain,
% 34.04/22.66 (v116(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14594, 509, 15075])).
% 34.04/22.66 tff(15077,plain,
% 34.04/22.66 (~v110(constB102)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14665, 15039])).
% 34.04/22.66 tff(15078,plain,
% 34.04/22.66 (~v108(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14633, 15077])).
% 34.04/22.66 tff(15079,plain,
% 34.04/22.66 (~v112(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14622, 568, 15078])).
% 34.04/22.66 tff(15080,plain,
% 34.04/22.66 (v112(constB101) | (~v113(constB101))),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14617, 556, 14989])).
% 34.04/22.66 tff(15081,plain,
% 34.04/22.66 (~v113(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15080, 15079])).
% 34.04/22.66 tff(15082,plain,
% 34.04/22.66 (~v114(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14606, 542, 15081])).
% 34.04/22.66 tff(15083,plain,
% 34.04/22.66 (~v115(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14602, 531, 15082])).
% 34.04/22.66 tff(15084,plain,
% 34.04/22.66 ($false),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[14598, 520, 15083, 15076])).
% 34.04/22.66 tff(15085,plain,(v26(constB101) | v90(constB102, bitIndex2) | v90(constB102, bitIndex1) | v90(constB102, bitIndex0) | v127(constB101, bitIndex1) | v127(constB101, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 34.04/22.66 tff(15086,plain,
% 34.04/22.66 ($false),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15085, 14988, 14975, 14611, 14971, 14970, 14969])).
% 34.04/22.66 tff(15087,plain,((~v100(constB102)) | v90(constB102, bitIndex0) | v90(constB102, bitIndex1) | v90(constB102, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 34.04/22.66 tff(15088,plain,
% 34.04/22.66 (~v100(constB102)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15087, 14969, 14970, 14971])).
% 34.04/22.66 tff(15089,assumption,(~v100(constB102)), introduced(assumption)).
% 34.04/22.66 tff(15090,plain,
% 34.04/22.66 (~v90(constB101, bitIndex2)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15046, 15089, 14969])).
% 34.04/22.66 tff(15091,plain,
% 34.04/22.66 (~v90(constB101, bitIndex0)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15062, 15089, 14971])).
% 34.04/22.66 tff(15092,plain,
% 34.04/22.66 (~v90(constB101, bitIndex1)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15054, 15089, 14970])).
% 34.04/22.66 tff(15093,assumption,(~v119(constB101)), introduced(assumption)).
% 34.04/22.66 tff(15094,plain,
% 34.04/22.66 (v90(constB101, bitIndex0) | v90(constB101, bitIndex1) | v90(constB101, bitIndex2)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15066, 476, 15093])).
% 34.04/22.66 tff(15095,plain,
% 34.04/22.66 ($false),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15094, 15092, 15091, 15090])).
% 34.04/22.66 tff(15096,plain,(v100(constB102) | v119(constB101) | v90(constB102, bitIndex2) | v90(constB102, bitIndex1) | v90(constB102, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.04/22.66 tff(15097,plain,
% 34.04/22.66 (v119(constB101)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15096, 15088, 14969, 14970, 14971])).
% 34.04/22.66 tff(15098,plain,
% 34.04/22.66 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB101)) | (~v130(constB101, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB101)) | (~v130(constB101, bitIndex1)))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15099,plain,
% 34.04/22.66 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB101)) | (~v130(constB101, bitIndex1)))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(15100,plain,
% 34.04/22.66 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB101)) | (~v130(constB101, bitIndex1))),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[15099, 15098])).
% 34.04/22.66 tff(15101,plain,
% 34.04/22.66 (~v130(constB101, bitIndex1)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15100, 767, 15097])).
% 34.04/22.66 tff(15102,plain,
% 34.04/22.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15103,plain,
% 34.04/22.66 ((v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1))) <=> ((~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15104,plain,
% 34.04/22.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1)))),
% 34.04/22.66 inference(monotonicity,[status(thm)],[15103])).
% 34.04/22.66 tff(15105,plain,
% 34.04/22.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))),
% 34.04/22.66 inference(transitivity,[status(thm)],[15104, 15102])).
% 34.04/22.66 tff(15106,plain,
% 34.04/22.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1)))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(15107,plain,
% 34.04/22.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1)),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[15106, 15105])).
% 34.04/22.66 tff(15108,plain,
% 34.04/22.66 ((~v127(constB101, bitIndex1)) | v130(constB101, bitIndex1)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15107, 781, 14611])).
% 34.04/22.66 tff(15109,plain,
% 34.04/22.66 (~v127(constB101, bitIndex1)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15108, 15101])).
% 34.04/22.66 tff(15110,plain,
% 34.04/22.66 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB101)) | (~v130(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB101)) | (~v130(constB101, bitIndex2)))),
% 34.04/22.66 inference(rewrite,[status(thm)],[])).
% 34.04/22.66 tff(15111,plain,
% 34.04/22.66 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB101)) | (~v130(constB101, bitIndex2)))),
% 34.04/22.66 inference(quant_inst,[status(thm)],[])).
% 34.04/22.66 tff(15112,plain,
% 34.04/22.66 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB101)) | (~v130(constB101, bitIndex2))),
% 34.04/22.66 inference(modus_ponens,[status(thm)],[15111, 15110])).
% 34.04/22.66 tff(15113,plain,
% 34.04/22.66 (~v130(constB101, bitIndex2)),
% 34.04/22.66 inference(unit_resolution,[status(thm)],[15112, 675, 15097])).
% 34.04/22.67 tff(15114,plain,
% 34.04/22.67 (~v127(constB101, bitIndex2)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[14677, 15113])).
% 34.04/22.67 tff(15115,plain,
% 34.04/22.67 ($false),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15085, 15114, 15109, 14611, 14971, 14970, 14969])).
% 34.04/22.67 tff(15116,plain,(v90(constB102, bitIndex2) | v90(constB102, bitIndex0) | v90(constB102, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 34.04/22.67 tff(15117,plain,
% 34.04/22.67 (v90(constB102, bitIndex2)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15116, 14968, 14967])).
% 34.04/22.67 tff(15118,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15119,plain,
% 34.04/22.67 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2)) <=> ((~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15120,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2)))),
% 34.04/22.67 inference(monotonicity,[status(thm)],[15119])).
% 34.04/22.67 tff(15121,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))),
% 34.04/22.67 inference(transitivity,[status(thm)],[15120, 15118])).
% 34.04/22.67 tff(15122,plain,
% 34.04/22.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2))),
% 34.04/22.67 inference(quant_inst,[status(thm)],[])).
% 34.04/22.67 tff(15123,plain,
% 34.04/22.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2)),
% 34.04/22.67 inference(modus_ponens,[status(thm)],[15122, 15121])).
% 34.04/22.67 tff(15124,plain,
% 34.04/22.67 ((~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15123, 1658, 14697])).
% 34.04/22.67 tff(15125,plain,
% 34.04/22.67 ((~v90(constB102, bitIndex2)) | v90(constB103, bitIndex2)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15124, 14709])).
% 34.04/22.67 tff(15126,plain,
% 34.04/22.67 ($false),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15125, 15117, 14966])).
% 34.04/22.67 tff(15127,plain,(v100(constB104) | v90(constB104, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.04/22.67 tff(15128,plain,
% 34.04/22.67 (v100(constB104)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15127, 14913])).
% 34.04/22.67 tff(15129,plain,
% 34.04/22.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15130,plain,
% 34.04/22.67 (((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1)) <=> ((~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15131,plain,
% 34.04/22.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104))))),
% 34.04/22.67 inference(monotonicity,[status(thm)],[15130])).
% 34.04/22.67 tff(15132,plain,
% 34.04/22.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))),
% 34.04/22.67 inference(transitivity,[status(thm)],[15131, 15129])).
% 34.04/22.67 tff(15133,plain,
% 34.04/22.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1))),
% 34.04/22.67 inference(quant_inst,[status(thm)],[])).
% 34.04/22.67 tff(15134,plain,
% 34.04/22.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104))),
% 34.04/22.67 inference(modus_ponens,[status(thm)],[15133, 15132])).
% 34.04/22.67 tff(15135,plain,
% 34.04/22.67 ((~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15134, 814, 15128])).
% 34.04/22.67 tff(15136,plain,
% 34.04/22.67 (~v90(constB104, bitIndex1)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15135, 14808])).
% 34.04/22.67 tff(15137,plain,
% 34.04/22.67 ((~v1(constB105)) <=> (~v1(constB105))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15138,axiom,(~v1(constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 34.04/22.67 tff(15139,plain,
% 34.04/22.67 (~v1(constB105)),
% 34.04/22.67 inference(modus_ponens,[status(thm)],[15138, 15137])).
% 34.04/22.67 tff(15140,plain,
% 34.04/22.67 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15141,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 34.04/22.67 tff(15142,plain,
% 34.04/22.67 (nextState(constB104, constB105)),
% 34.04/22.67 inference(modus_ponens,[status(thm)],[15141, 15140])).
% 34.04/22.67 tff(15143,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15144,plain,
% 34.04/22.67 (((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15145,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))))),
% 34.04/22.67 inference(monotonicity,[status(thm)],[15144])).
% 34.04/22.67 tff(15146,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 34.04/22.67 inference(transitivity,[status(thm)],[15145, 15143])).
% 34.04/22.67 tff(15147,plain,
% 34.04/22.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))),
% 34.04/22.67 inference(quant_inst,[status(thm)],[])).
% 34.04/22.67 tff(15148,plain,
% 34.04/22.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))),
% 34.04/22.67 inference(modus_ponens,[status(thm)],[15147, 15146])).
% 34.04/22.67 tff(15149,plain,
% 34.04/22.67 (~v101(constB105)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15148, 381, 15142, 15139])).
% 34.04/22.67 tff(15150,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15151,plain,
% 34.04/22.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 34.04/22.67 inference(quant_inst,[status(thm)],[])).
% 34.04/22.67 tff(15152,plain,
% 34.04/22.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105))),
% 34.04/22.67 inference(modus_ponens,[status(thm)],[15151, 15150])).
% 34.04/22.67 tff(15153,plain,
% 34.04/22.67 (v101(constB105) | (~v100(constB105))),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15152, 398, 15142])).
% 34.04/22.67 tff(15154,plain,
% 34.04/22.67 (~v100(constB105)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15153, 15149])).
% 34.04/22.67 tff(15155,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15156,plain,
% 34.04/22.67 (((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1))) <=> (v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15157,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1))))),
% 34.04/22.67 inference(monotonicity,[status(thm)],[15156])).
% 34.04/22.67 tff(15158,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 34.04/22.67 inference(transitivity,[status(thm)],[15157, 15155])).
% 34.04/22.67 tff(15159,plain,
% 34.04/22.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 34.04/22.67 inference(quant_inst,[status(thm)],[])).
% 34.04/22.67 tff(15160,plain,
% 34.04/22.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1))),
% 34.04/22.67 inference(modus_ponens,[status(thm)],[15159, 15158])).
% 34.04/22.67 tff(15161,plain,
% 34.04/22.67 (v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1))),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15160, 434, 15142])).
% 34.04/22.67 tff(15162,plain,
% 34.04/22.67 (v90(constB104, bitIndex1) | (~v90(constB105, bitIndex1))),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15161, 15154])).
% 34.04/22.67 tff(15163,plain,
% 34.04/22.67 (~v90(constB105, bitIndex1)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15162, 15136])).
% 34.04/22.67 tff(15164,plain,
% 34.04/22.67 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB103)) | v130(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB103)) | v130(constB103, bitIndex2))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15165,plain,
% 34.04/22.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB103)) | v130(constB103, bitIndex2))),
% 34.04/22.67 inference(quant_inst,[status(thm)],[])).
% 34.04/22.67 tff(15166,plain,
% 34.04/22.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB103)) | v130(constB103, bitIndex2)),
% 34.04/22.67 inference(modus_ponens,[status(thm)],[15165, 15164])).
% 34.04/22.67 tff(15167,plain,
% 34.04/22.67 (v130(constB103, bitIndex2)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15166, 1578, 14784])).
% 34.04/22.67 tff(15168,plain,
% 34.04/22.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15169,plain,
% 34.04/22.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 34.04/22.67 inference(quant_inst,[status(thm)],[])).
% 34.04/22.67 tff(15170,plain,
% 34.04/22.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 34.04/22.67 inference(modus_ponens,[status(thm)],[15169, 15168])).
% 34.04/22.67 tff(15171,plain,
% 34.04/22.67 ((~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15170, 1592, 14792])).
% 34.04/22.67 tff(15172,plain,
% 34.04/22.67 (v127(constB103, bitIndex2)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15171, 15167])).
% 34.04/22.67 tff(15173,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15174,plain,
% 34.04/22.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 34.04/22.67 inference(quant_inst,[status(thm)],[])).
% 34.04/22.67 tff(15175,plain,
% 34.04/22.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 34.04/22.67 inference(modus_ponens,[status(thm)],[15174, 15173])).
% 34.04/22.67 tff(15176,plain,
% 34.04/22.67 ((~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15175, 1607, 14803])).
% 34.04/22.67 tff(15177,plain,
% 34.04/22.67 (v129(constB104, bitIndex2)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15176, 15172])).
% 34.04/22.67 tff(15178,plain,
% 34.04/22.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15179,plain,
% 34.04/22.67 ((v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2))) <=> (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15180,plain,
% 34.04/22.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))))),
% 34.04/22.67 inference(monotonicity,[status(thm)],[15179])).
% 34.04/22.67 tff(15181,plain,
% 34.04/22.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 34.04/22.67 inference(transitivity,[status(thm)],[15180, 15178])).
% 34.04/22.67 tff(15182,plain,
% 34.04/22.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))),
% 34.04/22.67 inference(quant_inst,[status(thm)],[])).
% 34.04/22.67 tff(15183,plain,
% 34.04/22.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))),
% 34.04/22.67 inference(modus_ponens,[status(thm)],[15182, 15181])).
% 34.04/22.67 tff(15184,plain,
% 34.04/22.67 (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2))),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15183, 1622, 15128])).
% 34.04/22.67 tff(15185,plain,
% 34.04/22.67 (v90(constB104, bitIndex2)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15184, 15177])).
% 34.04/22.67 tff(15186,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15187,plain,
% 34.04/22.67 (((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)) <=> ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15188,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2)))),
% 34.04/22.67 inference(monotonicity,[status(thm)],[15187])).
% 34.04/22.67 tff(15189,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 34.04/22.67 inference(transitivity,[status(thm)],[15188, 15186])).
% 34.04/22.67 tff(15190,plain,
% 34.04/22.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))),
% 34.04/22.67 inference(quant_inst,[status(thm)],[])).
% 34.04/22.67 tff(15191,plain,
% 34.04/22.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2)),
% 34.04/22.67 inference(modus_ponens,[status(thm)],[15190, 15189])).
% 34.04/22.67 tff(15192,plain,
% 34.04/22.67 ((~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15191, 1658, 15142])).
% 34.04/22.67 tff(15193,plain,
% 34.04/22.67 ((~v90(constB104, bitIndex2)) | v90(constB105, bitIndex2)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15192, 15154])).
% 34.04/22.67 tff(15194,plain,
% 34.04/22.67 (v90(constB105, bitIndex2)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15193, 15185])).
% 34.04/22.67 tff(15195,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15196,plain,
% 34.04/22.67 (((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))) <=> (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15197,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0))))),
% 34.04/22.67 inference(monotonicity,[status(thm)],[15196])).
% 34.04/22.67 tff(15198,plain,
% 34.04/22.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 34.04/22.67 inference(transitivity,[status(thm)],[15197, 15195])).
% 34.04/22.67 tff(15199,plain,
% 34.04/22.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 34.04/22.67 inference(quant_inst,[status(thm)],[])).
% 34.04/22.67 tff(15200,plain,
% 34.04/22.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 34.04/22.67 inference(modus_ponens,[status(thm)],[15199, 15198])).
% 34.04/22.67 tff(15201,plain,
% 34.04/22.67 (v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15200, 455, 15142])).
% 34.04/22.67 tff(15202,plain,
% 34.04/22.67 (v90(constB104, bitIndex0) | (~v90(constB105, bitIndex0))),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15201, 15154])).
% 34.04/22.67 tff(15203,plain,
% 34.04/22.67 (~v90(constB105, bitIndex0)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15202, 14913])).
% 34.04/22.67 tff(15204,plain,
% 34.04/22.67 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15205,plain,
% 34.04/22.67 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105))),
% 34.04/22.67 inference(quant_inst,[status(thm)],[])).
% 34.04/22.67 tff(15206,plain,
% 34.04/22.67 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105)),
% 34.04/22.67 inference(modus_ponens,[status(thm)],[15205, 15204])).
% 34.04/22.67 tff(15207,plain,
% 34.04/22.67 (v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15206, 1765, 15203])).
% 34.04/22.67 tff(15208,plain,
% 34.04/22.67 (v123(constB105)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15207, 15194, 15163])).
% 34.04/22.67 tff(15209,plain,
% 34.04/22.67 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB105)) | v130(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB105)) | v130(constB105, bitIndex2))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15210,plain,
% 34.04/22.67 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB105)) | v130(constB105, bitIndex2))),
% 34.04/22.67 inference(quant_inst,[status(thm)],[])).
% 34.04/22.67 tff(15211,plain,
% 34.04/22.67 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB105)) | v130(constB105, bitIndex2)),
% 34.04/22.67 inference(modus_ponens,[status(thm)],[15210, 15209])).
% 34.04/22.67 tff(15212,plain,
% 34.04/22.67 (v130(constB105, bitIndex2)),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15211, 1850, 15208])).
% 34.04/22.67 tff(15213,assumption,(v26(constB105)), introduced(assumption)).
% 34.04/22.67 tff(15214,plain,
% 34.04/22.67 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB105))),
% 34.04/22.67 inference(quant_inst,[status(thm)],[])).
% 34.04/22.67 tff(15215,plain,
% 34.04/22.67 ($false),
% 34.04/22.67 inference(unit_resolution,[status(thm)],[15214, 120, 15213])).
% 34.04/22.67 tff(15216,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 34.04/22.67 tff(15217,plain,
% 34.04/22.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2))),
% 34.04/22.67 inference(rewrite,[status(thm)],[])).
% 34.04/22.67 tff(15218,plain,
% 34.04/22.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2))),
% 34.04/22.67 inference(quant_inst,[status(thm)],[])).
% 34.04/22.67 tff(15219,plain,
% 34.04/22.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2)),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15218, 15217])).
% 34.04/22.68 tff(15220,plain,
% 34.04/22.68 ((~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15219, 1592, 15216])).
% 34.04/22.68 tff(15221,plain,
% 34.04/22.68 (v127(constB105, bitIndex2)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15220, 15212])).
% 34.04/22.68 tff(15222,plain,
% 34.04/22.68 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15223,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 34.04/22.68 tff(15224,plain,
% 34.04/22.68 (nextState(constB105, constB106)),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15223, 15222])).
% 34.04/22.68 tff(15225,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15226,plain,
% 34.04/22.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15227,plain,
% 34.04/22.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2)),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15226, 15225])).
% 34.04/22.68 tff(15228,plain,
% 34.04/22.68 ((~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15227, 1607, 15224])).
% 34.04/22.68 tff(15229,plain,
% 34.04/22.68 (v129(constB106, bitIndex2)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15228, 15221])).
% 34.04/22.68 tff(15230,assumption,(~v100(constB106)), introduced(assumption)).
% 34.04/22.68 tff(15231,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15232,plain,
% 34.04/22.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15233,plain,
% 34.04/22.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15232, 15231])).
% 34.04/22.68 tff(15234,plain,
% 34.04/22.68 (~v104(constB106)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15233, 603, 15224, 15139])).
% 34.04/22.68 tff(15235,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15236,plain,
% 34.04/22.68 (((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106)) <=> ((~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15237,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | v102(constB106)))),
% 34.04/22.68 inference(monotonicity,[status(thm)],[15236])).
% 34.04/22.68 tff(15238,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))),
% 34.04/22.68 inference(transitivity,[status(thm)],[15237, 15235])).
% 34.04/22.68 tff(15239,plain,
% 34.04/22.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15240,plain,
% 34.04/22.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | v102(constB106)),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15239, 15238])).
% 34.04/22.68 tff(15241,plain,
% 34.04/22.68 (v104(constB106) | v102(constB106)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15240, 617, 15224])).
% 34.04/22.68 tff(15242,plain,
% 34.04/22.68 (v102(constB106)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15241, 15234])).
% 34.04/22.68 tff(15243,plain,
% 34.04/22.68 (v1(constB106) <=> v1(constB106)),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15244,axiom,(v1(constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 34.04/22.68 tff(15245,plain,
% 34.04/22.68 (v1(constB106)),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15244, 15243])).
% 34.04/22.68 tff(15246,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15247,plain,
% 34.04/22.68 (((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106))) <=> ((~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15248,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106))))),
% 34.04/22.68 inference(monotonicity,[status(thm)],[15247])).
% 34.04/22.68 tff(15249,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))),
% 34.04/22.68 inference(transitivity,[status(thm)],[15248, 15246])).
% 34.04/22.68 tff(15250,plain,
% 34.04/22.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15251,plain,
% 34.04/22.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15250, 15249])).
% 34.04/22.68 tff(15252,plain,
% 34.04/22.68 (v101(constB106) | (~v102(constB106))),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15251, 638, 15224, 15245])).
% 34.04/22.68 tff(15253,plain,
% 34.04/22.68 (v101(constB106)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15252, 15242])).
% 34.04/22.68 tff(15254,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15255,plain,
% 34.04/22.68 (((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106)) <=> ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15256,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))))),
% 34.04/22.68 inference(monotonicity,[status(thm)],[15255])).
% 34.04/22.68 tff(15257,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 34.04/22.68 inference(transitivity,[status(thm)],[15256, 15254])).
% 34.04/22.68 tff(15258,plain,
% 34.04/22.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15259,plain,
% 34.04/22.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15258, 15257])).
% 34.04/22.68 tff(15260,plain,
% 34.04/22.68 (v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15259, 656, 15224])).
% 34.04/22.68 tff(15261,plain,
% 34.04/22.68 (v100(constB106) | (~v110(constB106))),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15260, 15253])).
% 34.04/22.68 tff(15262,plain,
% 34.04/22.68 (~v110(constB106)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15261, 15230])).
% 34.04/22.68 tff(15263,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15264,plain,
% 34.04/22.68 (((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106)) <=> ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15265,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))))),
% 34.04/22.68 inference(monotonicity,[status(thm)],[15264])).
% 34.04/22.68 tff(15266,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 34.04/22.68 inference(transitivity,[status(thm)],[15265, 15263])).
% 34.04/22.68 tff(15267,plain,
% 34.04/22.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15268,plain,
% 34.04/22.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15267, 15266])).
% 34.04/22.68 tff(15269,plain,
% 34.04/22.68 (v110(constB106) | (~v108(constB105))),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15268, 585, 15224])).
% 34.04/22.68 tff(15270,plain,
% 34.04/22.68 (~v108(constB105)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15269, 15262])).
% 34.04/22.68 tff(15271,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB105) | (~v112(constB105)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB105) | (~v112(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15272,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB105) | (~v112(constB105)))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15273,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB105) | (~v112(constB105))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15272, 15271])).
% 34.04/22.68 tff(15274,plain,
% 34.04/22.68 (~v112(constB105)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15273, 568, 15270])).
% 34.04/22.68 tff(15275,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | v112(constB105) | (~v113(constB105)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | v112(constB105) | (~v113(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15276,plain,
% 34.04/22.68 ((v26(constB105) | (~v113(constB105)) | v112(constB105)) <=> (v26(constB105) | v112(constB105) | (~v113(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15277,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | v112(constB105) | (~v113(constB105))))),
% 34.04/22.68 inference(monotonicity,[status(thm)],[15276])).
% 34.04/22.68 tff(15278,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | v112(constB105) | (~v113(constB105)))),
% 34.04/22.68 inference(transitivity,[status(thm)],[15277, 15275])).
% 34.04/22.68 tff(15279,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15280,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | v112(constB105) | (~v113(constB105))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15279, 15278])).
% 34.04/22.68 tff(15281,plain,
% 34.04/22.68 (v112(constB105) | (~v113(constB105))),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15280, 556, 15216])).
% 34.04/22.68 tff(15282,plain,
% 34.04/22.68 (~v113(constB105)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15281, 15274])).
% 34.04/22.68 tff(15283,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB105) | (~v114(constB105)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB105) | (~v114(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15284,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB105) | (~v114(constB105)))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15285,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB105) | (~v114(constB105))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15284, 15283])).
% 34.04/22.68 tff(15286,plain,
% 34.04/22.68 (~v114(constB105)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15285, 542, 15282])).
% 34.04/22.68 tff(15287,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB105) | (~v115(constB105)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB105) | (~v115(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15288,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB105) | (~v115(constB105)))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15289,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB105) | (~v115(constB105))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15288, 15287])).
% 34.04/22.68 tff(15290,plain,
% 34.04/22.68 (~v115(constB105)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15289, 531, 15286])).
% 34.04/22.68 tff(15291,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB105) | (~v116(constB105)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB105) | (~v116(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15292,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB105) | (~v116(constB105)))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15293,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB105) | (~v116(constB105))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15292, 15291])).
% 34.04/22.68 tff(15294,plain,
% 34.04/22.68 (~v116(constB105)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15293, 520, 15290])).
% 34.04/22.68 tff(15295,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB105) | (~v122(constB105)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB105) | (~v122(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15296,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB105) | (~v122(constB105)))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15297,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB105) | (~v122(constB105))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15296, 15295])).
% 34.04/22.68 tff(15298,plain,
% 34.04/22.68 (~v122(constB105)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15297, 1497, 15294])).
% 34.04/22.68 tff(15299,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB105) | (~v125(constB105)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB105) | (~v125(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15300,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB105) | (~v125(constB105)))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15301,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB105) | (~v125(constB105))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15300, 15299])).
% 34.04/22.68 tff(15302,plain,
% 34.04/22.68 (~v125(constB105)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15301, 2332, 15282])).
% 34.04/22.68 tff(15303,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB105) | (~v117(constB105)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB105) | (~v117(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15304,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB105) | (~v117(constB105)))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15305,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB105) | (~v117(constB105))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15304, 15303])).
% 34.04/22.68 tff(15306,plain,
% 34.04/22.68 (~v117(constB105)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15305, 509, 15294])).
% 34.04/22.68 tff(15307,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB105) | (~v118(constB105)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB105) | (~v118(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15308,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB105) | (~v118(constB105)))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15309,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB105) | (~v118(constB105))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15308, 15307])).
% 34.04/22.68 tff(15310,plain,
% 34.04/22.68 (~v118(constB105)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15309, 498, 15306])).
% 34.04/22.68 tff(15311,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB105) | (~v120(constB105)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB105) | (~v120(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15312,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB105) | (~v120(constB105)))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15313,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB105) | (~v120(constB105))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15312, 15311])).
% 34.04/22.68 tff(15314,plain,
% 34.04/22.68 (~v120(constB105)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15313, 936, 15310])).
% 34.04/22.68 tff(15315,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB105) | (~v123(constB105)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB105) | (~v123(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15316,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB105) | (~v123(constB105)))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15317,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB105) | (~v123(constB105))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15316, 15315])).
% 34.04/22.68 tff(15318,plain,
% 34.04/22.68 (~v123(constB105)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15317, 1776, 15290])).
% 34.04/22.68 tff(15319,assumption,(~v90(constB106, bitIndex1)), introduced(assumption)).
% 34.04/22.68 tff(15320,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB105, bitIndex1)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB105, bitIndex1)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex1))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15321,plain,
% 34.04/22.68 (((~nextState(constB105, constB106)) | (~v90(constB105, bitIndex1)) | v100(constB106) | v90(constB106, bitIndex1)) <=> ((~v90(constB105, bitIndex1)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex1))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15322,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB105, constB106)) | (~v90(constB105, bitIndex1)) | v100(constB106) | v90(constB106, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB105, bitIndex1)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex1)))),
% 34.04/22.68 inference(monotonicity,[status(thm)],[15321])).
% 34.04/22.68 tff(15323,plain,
% 34.04/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB105, constB106)) | (~v90(constB105, bitIndex1)) | v100(constB106) | v90(constB106, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB105, bitIndex1)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex1))),
% 34.04/22.68 inference(transitivity,[status(thm)],[15322, 15320])).
% 34.04/22.68 tff(15324,plain,
% 34.04/22.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB105, constB106)) | (~v90(constB105, bitIndex1)) | v100(constB106) | v90(constB106, bitIndex1))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15325,plain,
% 34.04/22.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB105, bitIndex1)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex1)),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15324, 15323])).
% 34.04/22.68 tff(15326,plain,
% 34.04/22.68 ((~v90(constB105, bitIndex1)) | v100(constB106) | v90(constB106, bitIndex1)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15325, 1149, 15224])).
% 34.04/22.68 tff(15327,plain,
% 34.04/22.68 (~v90(constB105, bitIndex1)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15326, 15230, 15319])).
% 34.04/22.68 tff(15328,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB105) | (~v119(constB105)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB105) | (~v119(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15329,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB105) | (~v119(constB105)))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15330,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB105) | (~v119(constB105))),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15329, 15328])).
% 34.04/22.68 tff(15331,plain,
% 34.04/22.68 (~v119(constB105)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15330, 487, 15310])).
% 34.04/22.68 tff(15332,assumption,(~v119(constB105)), introduced(assumption)).
% 34.04/22.68 tff(15333,assumption,(~v90(constB105, bitIndex0)), introduced(assumption)).
% 34.04/22.68 tff(15334,assumption,(~v123(constB105)), introduced(assumption)).
% 34.04/22.68 tff(15335,assumption,(~v90(constB105, bitIndex1)), introduced(assumption)).
% 34.04/22.68 tff(15336,plain,
% 34.04/22.68 (v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2)) | v123(constB105)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15206, 1765, 15335])).
% 34.04/22.68 tff(15337,plain,
% 34.04/22.68 (~v90(constB105, bitIndex2)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15336, 15333, 15334])).
% 34.04/22.68 tff(15338,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB105) | v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB105) | v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.04/22.68 tff(15339,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB105) | v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2))),
% 34.04/22.68 inference(quant_inst,[status(thm)],[])).
% 34.04/22.68 tff(15340,plain,
% 34.04/22.68 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB105) | v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2)),
% 34.04/22.68 inference(modus_ponens,[status(thm)],[15339, 15338])).
% 34.04/22.68 tff(15341,plain,
% 34.04/22.68 (v119(constB105) | v90(constB105, bitIndex0) | v90(constB105, bitIndex2)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15340, 476, 15335])).
% 34.04/22.68 tff(15342,plain,
% 34.04/22.68 ($false),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15341, 15337, 15333, 15332])).
% 34.04/22.68 tff(15343,plain,(v90(constB105, bitIndex0) | v119(constB105) | v90(constB105, bitIndex1) | v123(constB105)), inference(lemma,lemma(discharge,[]))).
% 34.04/22.68 tff(15344,plain,
% 34.04/22.68 (v90(constB105, bitIndex0)),
% 34.04/22.68 inference(unit_resolution,[status(thm)],[15343, 15331, 15327, 15318])).
% 34.04/22.68 tff(15345,plain,
% 34.04/22.68 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB105) | (~v124(constB105)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB105) | (~v124(constB105)))),
% 34.04/22.68 inference(rewrite,[status(thm)],[])).
% 34.09/22.68 tff(15346,plain,
% 34.09/22.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB105) | (~v124(constB105)))),
% 34.09/22.68 inference(quant_inst,[status(thm)],[])).
% 34.09/22.68 tff(15347,plain,
% 34.09/22.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB105) | (~v124(constB105))),
% 34.09/22.68 inference(modus_ponens,[status(thm)],[15346, 15345])).
% 34.09/22.68 tff(15348,plain,
% 34.09/22.68 (~v124(constB105)),
% 34.09/22.68 inference(unit_resolution,[status(thm)],[15347, 2005, 15286])).
% 34.09/22.68 tff(15349,plain,
% 34.09/22.68 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB105, bitIndex0)) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v124(constB105))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB105, bitIndex0)) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v124(constB105))),
% 34.09/22.68 inference(rewrite,[status(thm)],[])).
% 34.09/22.68 tff(15350,plain,
% 34.09/22.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB105, bitIndex0)) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v124(constB105))),
% 34.09/22.68 inference(quant_inst,[status(thm)],[])).
% 34.09/22.68 tff(15351,plain,
% 34.09/22.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB105, bitIndex0)) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v124(constB105)),
% 34.09/22.68 inference(modus_ponens,[status(thm)],[15350, 15349])).
% 34.09/22.68 tff(15352,plain,
% 34.09/22.68 ((~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex2)) | v124(constB105)),
% 34.09/22.68 inference(unit_resolution,[status(thm)],[15351, 1994, 15327])).
% 34.09/22.68 tff(15353,plain,
% 34.09/22.68 (~v90(constB105, bitIndex2)),
% 34.09/22.68 inference(unit_resolution,[status(thm)],[15352, 15344, 15348])).
% 34.09/22.68 tff(15354,plain,
% 34.09/22.68 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB105, bitIndex0)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | v120(constB105))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB105, bitIndex0)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | v120(constB105))),
% 34.09/22.68 inference(rewrite,[status(thm)],[])).
% 34.09/22.68 tff(15355,plain,
% 34.09/22.68 (((~v90(constB105, bitIndex0)) | v120(constB105) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2)) <=> ((~v90(constB105, bitIndex0)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | v120(constB105))),
% 34.09/22.68 inference(rewrite,[status(thm)],[])).
% 34.09/22.68 tff(15356,plain,
% 34.09/22.68 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB105, bitIndex0)) | v120(constB105) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB105, bitIndex0)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | v120(constB105)))),
% 34.09/22.68 inference(monotonicity,[status(thm)],[15355])).
% 34.09/22.68 tff(15357,plain,
% 34.09/22.68 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB105, bitIndex0)) | v120(constB105) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB105, bitIndex0)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | v120(constB105))),
% 34.09/22.68 inference(transitivity,[status(thm)],[15356, 15354])).
% 34.09/22.68 tff(15358,plain,
% 34.09/22.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB105, bitIndex0)) | v120(constB105) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2))),
% 34.09/22.68 inference(quant_inst,[status(thm)],[])).
% 34.09/22.68 tff(15359,plain,
% 34.09/22.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB105, bitIndex0)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | v120(constB105)),
% 34.09/22.68 inference(modus_ponens,[status(thm)],[15358, 15357])).
% 34.09/22.68 tff(15360,plain,
% 34.09/22.68 ((~v90(constB105, bitIndex0)) | v90(constB105, bitIndex2) | v120(constB105)),
% 34.09/22.68 inference(unit_resolution,[status(thm)],[15359, 922, 15327])).
% 34.09/22.68 tff(15361,plain,
% 34.09/22.68 ($false),
% 34.09/22.68 inference(unit_resolution,[status(thm)],[15360, 15353, 15344, 15314])).
% 34.09/22.68 tff(15362,plain,(v100(constB106) | v90(constB106, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 34.09/22.68 tff(15363,plain,
% 34.09/22.68 (v90(constB106, bitIndex1)),
% 34.09/22.68 inference(unit_resolution,[status(thm)],[15362, 15230])).
% 34.09/22.68 tff(15364,plain,
% 34.09/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB105, bitIndex1) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB105, bitIndex1) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex1)))),
% 34.09/22.68 inference(rewrite,[status(thm)],[])).
% 34.09/22.68 tff(15365,plain,
% 34.09/22.68 (((~nextState(constB105, constB106)) | v90(constB105, bitIndex1) | v100(constB106) | (~v90(constB106, bitIndex1))) <=> (v90(constB105, bitIndex1) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex1)))),
% 34.09/22.68 inference(rewrite,[status(thm)],[])).
% 34.09/22.68 tff(15366,plain,
% 34.09/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v90(constB105, bitIndex1) | v100(constB106) | (~v90(constB106, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB105, bitIndex1) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex1))))),
% 34.09/22.68 inference(monotonicity,[status(thm)],[15365])).
% 34.09/22.68 tff(15367,plain,
% 34.09/22.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v90(constB105, bitIndex1) | v100(constB106) | (~v90(constB106, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB105, bitIndex1) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex1)))),
% 34.09/22.68 inference(transitivity,[status(thm)],[15366, 15364])).
% 34.09/22.68 tff(15368,plain,
% 34.09/22.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v90(constB105, bitIndex1) | v100(constB106) | (~v90(constB106, bitIndex1)))),
% 34.09/22.68 inference(quant_inst,[status(thm)],[])).
% 34.09/22.68 tff(15369,plain,
% 34.09/22.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB105, bitIndex1) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex1))),
% 34.09/22.68 inference(modus_ponens,[status(thm)],[15368, 15367])).
% 34.09/22.68 tff(15370,plain,
% 34.09/22.68 (v90(constB105, bitIndex1) | v100(constB106) | (~v90(constB106, bitIndex1))),
% 34.09/22.68 inference(unit_resolution,[status(thm)],[15369, 434, 15224])).
% 34.09/22.68 tff(15371,plain,
% 34.09/22.68 (v90(constB105, bitIndex1)),
% 34.09/22.68 inference(unit_resolution,[status(thm)],[15370, 15230, 15363])).
% 34.09/22.68 tff(15372,plain,
% 34.09/22.68 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB105) | (~v121(constB105)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB105) | (~v121(constB105)))),
% 34.09/22.68 inference(rewrite,[status(thm)],[])).
% 34.09/22.68 tff(15373,plain,
% 34.09/22.68 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB105) | (~v121(constB105)))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15374,plain,
% 34.09/22.69 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB105) | (~v121(constB105))),
% 34.09/22.69 inference(modus_ponens,[status(thm)],[15373, 15372])).
% 34.09/22.69 tff(15375,plain,
% 34.09/22.69 (~v121(constB105)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15374, 1253, 15306])).
% 34.09/22.69 tff(15376,assumption,(~v121(constB105)), introduced(assumption)).
% 34.09/22.69 tff(15377,assumption,(~v125(constB105)), introduced(assumption)).
% 34.09/22.69 tff(15378,assumption,(v90(constB105, bitIndex1)), introduced(assumption)).
% 34.09/22.69 tff(15379,plain,
% 34.09/22.69 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15380,plain,
% 34.09/22.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15381,plain,
% 34.09/22.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105)),
% 34.09/22.69 inference(modus_ponens,[status(thm)],[15380, 15379])).
% 34.09/22.69 tff(15382,plain,
% 34.09/22.69 (v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2)) | v125(constB105)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15381, 2321, 15378])).
% 34.09/22.69 tff(15383,plain,
% 34.09/22.69 (~v90(constB105, bitIndex2)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15382, 15333, 15377])).
% 34.09/22.69 tff(15384,plain,
% 34.09/22.69 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex2) | v121(constB105))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex2) | v121(constB105))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15385,plain,
% 34.09/22.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex2) | v121(constB105))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15386,plain,
% 34.09/22.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex2) | v121(constB105)),
% 34.09/22.69 inference(modus_ponens,[status(thm)],[15385, 15384])).
% 34.09/22.69 tff(15387,plain,
% 34.09/22.69 (v90(constB105, bitIndex0) | v90(constB105, bitIndex2) | v121(constB105)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15386, 1242, 15378])).
% 34.09/22.69 tff(15388,plain,
% 34.09/22.69 ($false),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15387, 15383, 15333, 15376])).
% 34.09/22.69 tff(15389,plain,(v90(constB105, bitIndex0) | v121(constB105) | (~v90(constB105, bitIndex1)) | v125(constB105)), inference(lemma,lemma(discharge,[]))).
% 34.09/22.69 tff(15390,plain,
% 34.09/22.69 (v90(constB105, bitIndex0)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15389, 15375, 15371, 15302])).
% 34.09/22.69 tff(15391,plain,
% 34.09/22.69 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex2) | v122(constB105))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex2) | v122(constB105))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15392,plain,
% 34.09/22.69 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex2) | v122(constB105))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15393,plain,
% 34.09/22.69 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex2) | v122(constB105)),
% 34.09/22.69 inference(modus_ponens,[status(thm)],[15392, 15391])).
% 34.09/22.69 tff(15394,plain,
% 34.09/22.69 ((~v90(constB105, bitIndex0)) | v90(constB105, bitIndex2) | v122(constB105)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15393, 1486, 15371])).
% 34.09/22.69 tff(15395,plain,
% 34.09/22.69 (v90(constB105, bitIndex2)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15394, 15390, 15298])).
% 34.09/22.69 tff(15396,plain,
% 34.09/22.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex2)))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15397,plain,
% 34.09/22.69 (((~nextState(constB104, constB105)) | v90(constB104, bitIndex2) | v100(constB105) | (~v90(constB105, bitIndex2))) <=> (v90(constB104, bitIndex2) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex2)))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15398,plain,
% 34.09/22.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex2) | v100(constB105) | (~v90(constB105, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex2))))),
% 34.09/22.69 inference(monotonicity,[status(thm)],[15397])).
% 34.09/22.69 tff(15399,plain,
% 34.09/22.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex2) | v100(constB105) | (~v90(constB105, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex2)))),
% 34.09/22.69 inference(transitivity,[status(thm)],[15398, 15396])).
% 34.09/22.69 tff(15400,plain,
% 34.09/22.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex2) | v100(constB105) | (~v90(constB105, bitIndex2)))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15401,plain,
% 34.09/22.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex2))),
% 34.09/22.69 inference(modus_ponens,[status(thm)],[15400, 15399])).
% 34.09/22.69 tff(15402,plain,
% 34.09/22.69 (v90(constB104, bitIndex2) | v100(constB105) | (~v90(constB105, bitIndex2))),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15401, 413, 15142])).
% 34.09/22.69 tff(15403,plain,
% 34.09/22.69 (v90(constB104, bitIndex2) | (~v90(constB105, bitIndex2))),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15402, 15154])).
% 34.09/22.69 tff(15404,plain,
% 34.09/22.69 (v90(constB104, bitIndex2)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15403, 15395])).
% 34.09/22.69 tff(15405,plain,
% 34.09/22.69 (v90(constB104, bitIndex0)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15202, 15390])).
% 34.09/22.69 tff(15406,plain,
% 34.09/22.69 (v90(constB104, bitIndex1)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15162, 15371])).
% 34.09/22.69 tff(15407,assumption,(v100(constB104)), introduced(assumption)).
% 34.09/22.69 tff(15408,assumption,(v90(constB104, bitIndex2)), introduced(assumption)).
% 34.09/22.69 tff(15409,plain,
% 34.09/22.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | v129(constB104, bitIndex2) | (~v100(constB104)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | v129(constB104, bitIndex2) | (~v100(constB104)))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15410,plain,
% 34.09/22.69 (((~v90(constB104, bitIndex2)) | (~v100(constB104)) | v129(constB104, bitIndex2)) <=> ((~v90(constB104, bitIndex2)) | v129(constB104, bitIndex2) | (~v100(constB104)))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15411,plain,
% 34.09/22.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~v100(constB104)) | v129(constB104, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | v129(constB104, bitIndex2) | (~v100(constB104))))),
% 34.09/22.69 inference(monotonicity,[status(thm)],[15410])).
% 34.09/22.69 tff(15412,plain,
% 34.09/22.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~v100(constB104)) | v129(constB104, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | v129(constB104, bitIndex2) | (~v100(constB104)))),
% 34.09/22.69 inference(transitivity,[status(thm)],[15411, 15409])).
% 34.09/22.69 tff(15413,plain,
% 34.09/22.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~v100(constB104)) | v129(constB104, bitIndex2))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15414,plain,
% 34.09/22.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | v129(constB104, bitIndex2) | (~v100(constB104))),
% 34.09/22.69 inference(modus_ponens,[status(thm)],[15413, 15412])).
% 34.09/22.69 tff(15415,plain,
% 34.09/22.69 (v129(constB104, bitIndex2) | (~v100(constB104))),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15414, 722, 15408])).
% 34.09/22.69 tff(15416,plain,
% 34.09/22.69 (v129(constB104, bitIndex2)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15415, 15407])).
% 34.09/22.69 tff(15417,plain,
% 34.09/22.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex2) | (~v129(constB104, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex2) | (~v129(constB104, bitIndex2)))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15418,plain,
% 34.09/22.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex2) | (~v129(constB104, bitIndex2)))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15419,plain,
% 34.09/22.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex2) | (~v129(constB104, bitIndex2))),
% 34.09/22.69 inference(modus_ponens,[status(thm)],[15418, 15417])).
% 34.09/22.69 tff(15420,plain,
% 34.09/22.69 (v127(constB103, bitIndex2) | (~v129(constB104, bitIndex2))),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15419, 707, 14803])).
% 34.09/22.69 tff(15421,plain,
% 34.09/22.69 (v127(constB103, bitIndex2)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15420, 15416])).
% 34.09/22.69 tff(15422,plain,
% 34.09/22.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB103, bitIndex2)) | v26(constB103) | v130(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB103, bitIndex2)) | v26(constB103) | v130(constB103, bitIndex2))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15423,plain,
% 34.09/22.69 ((v26(constB103) | v130(constB103, bitIndex2) | (~v127(constB103, bitIndex2))) <=> ((~v127(constB103, bitIndex2)) | v26(constB103) | v130(constB103, bitIndex2))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15424,plain,
% 34.09/22.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB103) | v130(constB103, bitIndex2) | (~v127(constB103, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB103, bitIndex2)) | v26(constB103) | v130(constB103, bitIndex2)))),
% 34.09/22.69 inference(monotonicity,[status(thm)],[15423])).
% 34.09/22.69 tff(15425,plain,
% 34.09/22.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB103) | v130(constB103, bitIndex2) | (~v127(constB103, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB103, bitIndex2)) | v26(constB103) | v130(constB103, bitIndex2))),
% 34.09/22.69 inference(transitivity,[status(thm)],[15424, 15422])).
% 34.09/22.69 tff(15426,plain,
% 34.09/22.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB103) | v130(constB103, bitIndex2) | (~v127(constB103, bitIndex2)))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15427,plain,
% 34.09/22.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB103, bitIndex2)) | v26(constB103) | v130(constB103, bitIndex2)),
% 34.09/22.69 inference(modus_ponens,[status(thm)],[15426, 15425])).
% 34.09/22.69 tff(15428,plain,
% 34.09/22.69 ((~v127(constB103, bitIndex2)) | v130(constB103, bitIndex2)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15427, 689, 14792])).
% 34.09/22.69 tff(15429,plain,
% 34.09/22.69 (v130(constB103, bitIndex2)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15428, 15421])).
% 34.09/22.69 tff(15430,assumption,(v90(constB104, bitIndex1)), introduced(assumption)).
% 34.09/22.69 tff(15431,plain,
% 34.09/22.69 (v129(constB104, bitIndex1) | (~v100(constB104))),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15134, 814, 15430])).
% 34.09/22.69 tff(15432,plain,
% 34.09/22.69 (v129(constB104, bitIndex1)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15431, 15407])).
% 34.09/22.69 tff(15433,plain,
% 34.09/22.69 (v127(constB103, bitIndex1)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[14807, 15432])).
% 34.09/22.69 tff(15434,plain,
% 34.09/22.69 (v130(constB103, bitIndex1)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[14799, 15433])).
% 34.09/22.69 tff(15435,plain,
% 34.09/22.69 (~v122(constB103)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[14787, 1677, 15434])).
% 34.09/22.69 tff(15436,plain,
% 34.09/22.69 (v129(constB104, bitIndex0)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[14842, 15407])).
% 34.09/22.69 tff(15437,plain,
% 34.09/22.69 (v127(constB103, bitIndex0)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[14833, 15436])).
% 34.09/22.69 tff(15438,plain,
% 34.09/22.69 (v130(constB103, bitIndex0)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[14828, 15437])).
% 34.09/22.69 tff(15439,plain,
% 34.09/22.69 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB103)) | (~v130(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB103)) | (~v130(constB103, bitIndex0)))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15440,plain,
% 34.09/22.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB103)) | (~v130(constB103, bitIndex0)))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15441,plain,
% 34.09/22.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB103)) | (~v130(constB103, bitIndex0))),
% 34.09/22.69 inference(modus_ponens,[status(thm)],[15440, 15439])).
% 34.09/22.69 tff(15442,plain,
% 34.09/22.69 (~v124(constB103)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15441, 2277, 15438])).
% 34.09/22.69 tff(15443,plain,
% 34.09/22.69 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB103)) | (~v130(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB103)) | (~v130(constB103, bitIndex1)))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15444,plain,
% 34.09/22.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB103)) | (~v130(constB103, bitIndex1)))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15445,plain,
% 34.09/22.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB103)) | (~v130(constB103, bitIndex1))),
% 34.09/22.69 inference(modus_ponens,[status(thm)],[15444, 15443])).
% 34.09/22.69 tff(15446,plain,
% 34.09/22.69 (~v123(constB103)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15445, 1909, 15434])).
% 34.09/22.69 tff(15447,plain,
% 34.09/22.69 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB103)) | (~v130(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB103)) | (~v130(constB103, bitIndex0)))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15448,plain,
% 34.09/22.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB103)) | (~v130(constB103, bitIndex0)))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15449,plain,
% 34.09/22.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB103)) | (~v130(constB103, bitIndex0))),
% 34.09/22.69 inference(modus_ponens,[status(thm)],[15448, 15447])).
% 34.09/22.69 tff(15450,plain,
% 34.09/22.69 (~v120(constB103)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15449, 1168, 15438])).
% 34.09/22.69 tff(15451,plain,
% 34.09/22.69 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB103)) | (~v130(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB103)) | (~v130(constB103, bitIndex1)))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15452,plain,
% 34.09/22.69 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB103)) | (~v130(constB103, bitIndex1)))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15453,plain,
% 34.09/22.69 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB103)) | (~v130(constB103, bitIndex1))),
% 34.09/22.69 inference(modus_ponens,[status(thm)],[15452, 15451])).
% 34.09/22.69 tff(15454,plain,
% 34.09/22.69 (~v119(constB103)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15453, 767, 15434])).
% 34.09/22.69 tff(15455,plain,
% 34.09/22.69 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB103, bitIndex2)) | v124(constB103) | v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB103, bitIndex2)) | v124(constB103) | v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15456,plain,
% 34.09/22.69 ((v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103) | v124(constB103) | (~v130(constB103, bitIndex2))) <=> ((~v130(constB103, bitIndex2)) | v124(constB103) | v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15457,plain,
% 34.09/22.69 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103) | v124(constB103) | (~v130(constB103, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB103, bitIndex2)) | v124(constB103) | v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103)))),
% 34.09/22.69 inference(monotonicity,[status(thm)],[15456])).
% 34.09/22.69 tff(15458,plain,
% 34.09/22.69 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103) | v124(constB103) | (~v130(constB103, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB103, bitIndex2)) | v124(constB103) | v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103))),
% 34.09/22.69 inference(transitivity,[status(thm)],[15457, 15455])).
% 34.09/22.69 tff(15459,plain,
% 34.09/22.69 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103) | v124(constB103) | (~v130(constB103, bitIndex2)))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15460,plain,
% 34.09/22.69 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB103, bitIndex2)) | v124(constB103) | v120(constB103) | v119(constB103) | v121(constB103) | v122(constB103) | v123(constB103)),
% 34.09/22.69 inference(modus_ponens,[status(thm)],[15459, 15458])).
% 34.09/22.69 tff(15461,plain,
% 34.09/22.69 (v121(constB103)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15460, 2244, 15454, 15450, 15446, 15442, 15429, 15435])).
% 34.09/22.69 tff(15462,plain,
% 34.09/22.69 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB103)) | (~v130(constB103, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB103)) | (~v130(constB103, bitIndex2)))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15463,plain,
% 34.09/22.69 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB103)) | (~v130(constB103, bitIndex2)))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15464,plain,
% 34.09/22.69 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB103)) | (~v130(constB103, bitIndex2))),
% 34.09/22.69 inference(modus_ponens,[status(thm)],[15463, 15462])).
% 34.09/22.69 tff(15465,plain,
% 34.09/22.69 ($false),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15464, 1342, 15461, 15429])).
% 34.09/22.69 tff(15466,plain,((~v100(constB104)) | (~v90(constB104, bitIndex2)) | (~v90(constB104, bitIndex0)) | (~v90(constB104, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 34.09/22.69 tff(15467,plain,
% 34.09/22.69 (~v100(constB104)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15466, 15404, 15406, 15405])).
% 34.09/22.69 tff(15468,plain,
% 34.09/22.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB103, bitIndex2) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB103, bitIndex2) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex2)))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15469,plain,
% 34.09/22.69 (((~nextState(constB103, constB104)) | v90(constB103, bitIndex2) | v100(constB104) | (~v90(constB104, bitIndex2))) <=> (v90(constB103, bitIndex2) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex2)))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15470,plain,
% 34.09/22.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB103, constB104)) | v90(constB103, bitIndex2) | v100(constB104) | (~v90(constB104, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB103, bitIndex2) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex2))))),
% 34.09/22.69 inference(monotonicity,[status(thm)],[15469])).
% 34.09/22.69 tff(15471,plain,
% 34.09/22.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB103, constB104)) | v90(constB103, bitIndex2) | v100(constB104) | (~v90(constB104, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB103, bitIndex2) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex2)))),
% 34.09/22.69 inference(transitivity,[status(thm)],[15470, 15468])).
% 34.09/22.69 tff(15472,plain,
% 34.09/22.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB103, constB104)) | v90(constB103, bitIndex2) | v100(constB104) | (~v90(constB104, bitIndex2)))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15473,plain,
% 34.09/22.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB103, bitIndex2) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex2))),
% 34.09/22.69 inference(modus_ponens,[status(thm)],[15472, 15471])).
% 34.09/22.69 tff(15474,plain,
% 34.09/22.69 (v90(constB103, bitIndex2) | v100(constB104) | (~v90(constB104, bitIndex2))),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15473, 413, 14803])).
% 34.09/22.69 tff(15475,plain,
% 34.09/22.69 (v90(constB103, bitIndex2)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[15474, 15467, 15404])).
% 34.09/22.69 tff(15476,plain,
% 34.09/22.69 (v90(constB102, bitIndex2)),
% 34.09/22.69 inference(unit_resolution,[status(thm)],[14717, 15475])).
% 34.09/22.69 tff(15477,plain,
% 34.09/22.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB103, bitIndex1) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB103, bitIndex1) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex1)))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15478,plain,
% 34.09/22.69 (((~nextState(constB103, constB104)) | v90(constB103, bitIndex1) | v100(constB104) | (~v90(constB104, bitIndex1))) <=> (v90(constB103, bitIndex1) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex1)))),
% 34.09/22.69 inference(rewrite,[status(thm)],[])).
% 34.09/22.69 tff(15479,plain,
% 34.09/22.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v90(constB103, bitIndex1) | v100(constB104) | (~v90(constB104, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB103, bitIndex1) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex1))))),
% 34.09/22.69 inference(monotonicity,[status(thm)],[15478])).
% 34.09/22.69 tff(15480,plain,
% 34.09/22.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v90(constB103, bitIndex1) | v100(constB104) | (~v90(constB104, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB103, bitIndex1) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex1)))),
% 34.09/22.69 inference(transitivity,[status(thm)],[15479, 15477])).
% 34.09/22.69 tff(15481,plain,
% 34.09/22.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v90(constB103, bitIndex1) | v100(constB104) | (~v90(constB104, bitIndex1)))),
% 34.09/22.69 inference(quant_inst,[status(thm)],[])).
% 34.09/22.69 tff(15482,plain,
% 34.09/22.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB103, bitIndex1) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex1))),
% 34.09/22.70 inference(modus_ponens,[status(thm)],[15481, 15480])).
% 34.09/22.70 tff(15483,plain,
% 34.09/22.70 (v90(constB103, bitIndex1) | v100(constB104) | (~v90(constB104, bitIndex1))),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15482, 434, 14803])).
% 34.09/22.70 tff(15484,plain,
% 34.09/22.70 (v90(constB103, bitIndex1)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15483, 15467, 15406])).
% 34.09/22.70 tff(15485,plain,
% 34.09/22.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15486,plain,
% 34.09/22.70 (((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1))) <=> (v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15487,plain,
% 34.09/22.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1))))),
% 34.09/22.70 inference(monotonicity,[status(thm)],[15486])).
% 34.09/22.70 tff(15488,plain,
% 34.09/22.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 34.09/22.70 inference(transitivity,[status(thm)],[15487, 15485])).
% 34.09/22.70 tff(15489,plain,
% 34.09/22.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 34.09/22.70 inference(quant_inst,[status(thm)],[])).
% 34.09/22.70 tff(15490,plain,
% 34.09/22.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1))),
% 34.09/22.70 inference(modus_ponens,[status(thm)],[15489, 15488])).
% 34.09/22.70 tff(15491,plain,
% 34.09/22.70 (v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1))),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15490, 434, 14697])).
% 34.09/22.70 tff(15492,plain,
% 34.09/22.70 (v90(constB102, bitIndex1) | (~v90(constB103, bitIndex1))),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15491, 14709])).
% 34.09/22.70 tff(15493,plain,
% 34.09/22.70 (v90(constB102, bitIndex1)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15492, 15484])).
% 34.09/22.70 tff(15494,plain,
% 34.09/22.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB103, bitIndex0) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB103, bitIndex0) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex0)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15495,plain,
% 34.09/22.70 (((~nextState(constB103, constB104)) | v90(constB103, bitIndex0) | v100(constB104) | (~v90(constB104, bitIndex0))) <=> (v90(constB103, bitIndex0) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex0)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15496,plain,
% 34.09/22.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v90(constB103, bitIndex0) | v100(constB104) | (~v90(constB104, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB103, bitIndex0) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex0))))),
% 34.09/22.70 inference(monotonicity,[status(thm)],[15495])).
% 34.09/22.70 tff(15497,plain,
% 34.09/22.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v90(constB103, bitIndex0) | v100(constB104) | (~v90(constB104, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB103, bitIndex0) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex0)))),
% 34.09/22.70 inference(transitivity,[status(thm)],[15496, 15494])).
% 34.09/22.70 tff(15498,plain,
% 34.09/22.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v90(constB103, bitIndex0) | v100(constB104) | (~v90(constB104, bitIndex0)))),
% 34.09/22.70 inference(quant_inst,[status(thm)],[])).
% 34.09/22.70 tff(15499,plain,
% 34.09/22.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB103, bitIndex0) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, bitIndex0))),
% 34.09/22.70 inference(modus_ponens,[status(thm)],[15498, 15497])).
% 34.09/22.70 tff(15500,plain,
% 34.09/22.70 (v90(constB103, bitIndex0) | v100(constB104) | (~v90(constB104, bitIndex0))),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15499, 455, 14803])).
% 34.09/22.70 tff(15501,plain,
% 34.09/22.70 (v90(constB103, bitIndex0)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15500, 15467, 15405])).
% 34.09/22.70 tff(15502,plain,
% 34.09/22.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15503,plain,
% 34.09/22.70 (((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0))) <=> (v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15504,plain,
% 34.09/22.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0))))),
% 34.09/22.70 inference(monotonicity,[status(thm)],[15503])).
% 34.09/22.70 tff(15505,plain,
% 34.09/22.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 34.09/22.70 inference(transitivity,[status(thm)],[15504, 15502])).
% 34.09/22.70 tff(15506,plain,
% 34.09/22.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 34.09/22.70 inference(quant_inst,[status(thm)],[])).
% 34.09/22.70 tff(15507,plain,
% 34.09/22.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0))),
% 34.09/22.70 inference(modus_ponens,[status(thm)],[15506, 15505])).
% 34.09/22.70 tff(15508,plain,
% 34.09/22.70 (v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0))),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15507, 455, 14697])).
% 34.09/22.70 tff(15509,plain,
% 34.09/22.70 (v90(constB102, bitIndex0) | (~v90(constB103, bitIndex0))),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15508, 14709])).
% 34.09/22.70 tff(15510,plain,
% 34.09/22.70 (v90(constB102, bitIndex0)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15509, 15501])).
% 34.09/22.70 tff(15511,assumption,(v90(constB102, bitIndex1)), introduced(assumption)).
% 34.09/22.70 tff(15512,plain,
% 34.09/22.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15513,plain,
% 34.09/22.70 (((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1)) <=> ((~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15514,plain,
% 34.09/22.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102))))),
% 34.09/22.70 inference(monotonicity,[status(thm)],[15513])).
% 34.09/22.70 tff(15515,plain,
% 34.09/22.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))),
% 34.09/22.70 inference(transitivity,[status(thm)],[15514, 15512])).
% 34.09/22.70 tff(15516,plain,
% 34.09/22.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1))),
% 34.09/22.70 inference(quant_inst,[status(thm)],[])).
% 34.09/22.70 tff(15517,plain,
% 34.09/22.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102))),
% 34.09/22.70 inference(modus_ponens,[status(thm)],[15516, 15515])).
% 34.09/22.70 tff(15518,plain,
% 34.09/22.70 (v129(constB102, bitIndex1) | (~v100(constB102))),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15517, 814, 15511])).
% 34.09/22.70 tff(15519,plain,
% 34.09/22.70 (v129(constB102, bitIndex1)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15518, 14972])).
% 34.09/22.70 tff(15520,plain,
% 34.09/22.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15521,plain,
% 34.09/22.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1)))),
% 34.09/22.70 inference(quant_inst,[status(thm)],[])).
% 34.09/22.70 tff(15522,plain,
% 34.09/22.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1))),
% 34.09/22.70 inference(modus_ponens,[status(thm)],[15521, 15520])).
% 34.09/22.70 tff(15523,plain,
% 34.09/22.70 (v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1))),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15522, 799, 14626])).
% 34.09/22.70 tff(15524,plain,
% 34.09/22.70 (v127(constB101, bitIndex1)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15523, 15519])).
% 34.09/22.70 tff(15525,plain,
% 34.09/22.70 ((~v127(constB101, bitIndex1)) | v130(constB101, bitIndex1)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15107, 781, 14989])).
% 34.09/22.70 tff(15526,plain,
% 34.09/22.70 (v130(constB101, bitIndex1)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15525, 15524])).
% 34.09/22.70 tff(15527,plain,
% 34.09/22.70 (~v119(constB101)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15100, 767, 15526])).
% 34.09/22.70 tff(15528,assumption,(v90(constB102, bitIndex0)), introduced(assumption)).
% 34.09/22.70 tff(15529,plain,
% 34.09/22.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15530,plain,
% 34.09/22.70 (((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0)) <=> ((~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15531,plain,
% 34.09/22.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102))))),
% 34.09/22.70 inference(monotonicity,[status(thm)],[15530])).
% 34.09/22.70 tff(15532,plain,
% 34.09/22.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))),
% 34.09/22.70 inference(transitivity,[status(thm)],[15531, 15529])).
% 34.09/22.70 tff(15533,plain,
% 34.09/22.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0))),
% 34.09/22.70 inference(quant_inst,[status(thm)],[])).
% 34.09/22.70 tff(15534,plain,
% 34.09/22.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102))),
% 34.09/22.70 inference(modus_ponens,[status(thm)],[15533, 15532])).
% 34.09/22.70 tff(15535,plain,
% 34.09/22.70 (v129(constB102, bitIndex0) | (~v100(constB102))),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15534, 1215, 15528])).
% 34.09/22.70 tff(15536,plain,
% 34.09/22.70 (v129(constB102, bitIndex0)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15535, 14972])).
% 34.09/22.70 tff(15537,plain,
% 34.09/22.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15538,plain,
% 34.09/22.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0)))),
% 34.09/22.70 inference(quant_inst,[status(thm)],[])).
% 34.09/22.70 tff(15539,plain,
% 34.09/22.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0))),
% 34.09/22.70 inference(modus_ponens,[status(thm)],[15538, 15537])).
% 34.09/22.70 tff(15540,plain,
% 34.09/22.70 (v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0))),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15539, 1200, 14626])).
% 34.09/22.70 tff(15541,plain,
% 34.09/22.70 (v127(constB101, bitIndex0)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15540, 15536])).
% 34.09/22.70 tff(15542,plain,
% 34.09/22.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15543,plain,
% 34.09/22.70 ((v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0))) <=> ((~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15544,plain,
% 34.09/22.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0)))),
% 34.09/22.70 inference(monotonicity,[status(thm)],[15543])).
% 34.09/22.70 tff(15545,plain,
% 34.09/22.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))),
% 34.09/22.70 inference(transitivity,[status(thm)],[15544, 15542])).
% 34.09/22.70 tff(15546,plain,
% 34.09/22.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0)))),
% 34.09/22.70 inference(quant_inst,[status(thm)],[])).
% 34.09/22.70 tff(15547,plain,
% 34.09/22.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0)),
% 34.09/22.70 inference(modus_ponens,[status(thm)],[15546, 15545])).
% 34.09/22.70 tff(15548,plain,
% 34.09/22.70 ((~v127(constB101, bitIndex0)) | v130(constB101, bitIndex0)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15547, 1182, 14989])).
% 34.09/22.70 tff(15549,plain,
% 34.09/22.70 (v130(constB101, bitIndex0)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15548, 15541])).
% 34.09/22.70 tff(15550,plain,
% 34.09/22.70 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB101)) | (~v130(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB101)) | (~v130(constB101, bitIndex0)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15551,plain,
% 34.09/22.70 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB101)) | (~v130(constB101, bitIndex0)))),
% 34.09/22.70 inference(quant_inst,[status(thm)],[])).
% 34.09/22.70 tff(15552,plain,
% 34.09/22.70 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB101)) | (~v130(constB101, bitIndex0))),
% 34.09/22.70 inference(modus_ponens,[status(thm)],[15551, 15550])).
% 34.09/22.70 tff(15553,plain,
% 34.09/22.70 (~v120(constB101)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15552, 1168, 15549])).
% 34.09/22.70 tff(15554,plain,
% 34.09/22.70 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB101)) | (~v130(constB101, bitIndex1)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15555,plain,
% 34.09/22.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex1)))),
% 34.09/22.70 inference(quant_inst,[status(thm)],[])).
% 34.09/22.70 tff(15556,plain,
% 34.09/22.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB101)) | (~v130(constB101, bitIndex1))),
% 34.09/22.70 inference(modus_ponens,[status(thm)],[15555, 15554])).
% 34.09/22.70 tff(15557,plain,
% 34.09/22.70 (~v122(constB101)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15556, 1677, 15526])).
% 34.09/22.70 tff(15558,plain,
% 34.09/22.70 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB101)) | (~v130(constB101, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB101)) | (~v130(constB101, bitIndex1)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15559,plain,
% 34.09/22.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB101)) | (~v130(constB101, bitIndex1)))),
% 34.09/22.70 inference(quant_inst,[status(thm)],[])).
% 34.09/22.70 tff(15560,plain,
% 34.09/22.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB101)) | (~v130(constB101, bitIndex1))),
% 34.09/22.70 inference(modus_ponens,[status(thm)],[15559, 15558])).
% 34.09/22.70 tff(15561,plain,
% 34.09/22.70 (~v123(constB101)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15560, 1909, 15526])).
% 34.09/22.70 tff(15562,plain,
% 34.09/22.70 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB101)) | (~v130(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB101)) | (~v130(constB101, bitIndex0)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15563,plain,
% 34.09/22.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB101)) | (~v130(constB101, bitIndex0)))),
% 34.09/22.70 inference(quant_inst,[status(thm)],[])).
% 34.09/22.70 tff(15564,plain,
% 34.09/22.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB101)) | (~v130(constB101, bitIndex0))),
% 34.09/22.70 inference(modus_ponens,[status(thm)],[15563, 15562])).
% 34.09/22.70 tff(15565,plain,
% 34.09/22.70 (~v124(constB101)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15564, 2277, 15549])).
% 34.09/22.70 tff(15566,assumption,(v90(constB102, bitIndex2)), introduced(assumption)).
% 34.09/22.70 tff(15567,plain,
% 34.09/22.70 (v129(constB102, bitIndex2) | (~v100(constB102))),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[14689, 722, 15566])).
% 34.09/22.70 tff(15568,plain,
% 34.09/22.70 (v129(constB102, bitIndex2)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15567, 14972])).
% 34.09/22.70 tff(15569,plain,
% 34.09/22.70 (v127(constB101, bitIndex2)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[14682, 15568])).
% 34.09/22.70 tff(15570,plain,
% 34.09/22.70 ((~v127(constB101, bitIndex2)) | v130(constB101, bitIndex2)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[14676, 689, 14989])).
% 34.09/22.70 tff(15571,plain,
% 34.09/22.70 (v130(constB101, bitIndex2)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15570, 15569])).
% 34.09/22.70 tff(15572,plain,
% 34.09/22.70 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB101, bitIndex2)) | v124(constB101) | v123(constB101) | v122(constB101) | v121(constB101) | v120(constB101) | v119(constB101))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB101, bitIndex2)) | v124(constB101) | v123(constB101) | v122(constB101) | v121(constB101) | v120(constB101) | v119(constB101))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15573,plain,
% 34.09/22.70 ((v120(constB101) | v119(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | (~v130(constB101, bitIndex2))) <=> ((~v130(constB101, bitIndex2)) | v124(constB101) | v123(constB101) | v122(constB101) | v121(constB101) | v120(constB101) | v119(constB101))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15574,plain,
% 34.09/22.70 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB101) | v119(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | (~v130(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB101, bitIndex2)) | v124(constB101) | v123(constB101) | v122(constB101) | v121(constB101) | v120(constB101) | v119(constB101)))),
% 34.09/22.70 inference(monotonicity,[status(thm)],[15573])).
% 34.09/22.70 tff(15575,plain,
% 34.09/22.70 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB101) | v119(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | (~v130(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB101, bitIndex2)) | v124(constB101) | v123(constB101) | v122(constB101) | v121(constB101) | v120(constB101) | v119(constB101))),
% 34.09/22.70 inference(transitivity,[status(thm)],[15574, 15572])).
% 34.09/22.70 tff(15576,plain,
% 34.09/22.70 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB101) | v119(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | (~v130(constB101, bitIndex2)))),
% 34.09/22.70 inference(quant_inst,[status(thm)],[])).
% 34.09/22.70 tff(15577,plain,
% 34.09/22.70 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB101, bitIndex2)) | v124(constB101) | v123(constB101) | v122(constB101) | v121(constB101) | v120(constB101) | v119(constB101)),
% 34.09/22.70 inference(modus_ponens,[status(thm)],[15576, 15575])).
% 34.09/22.70 tff(15578,plain,
% 34.09/22.70 (v121(constB101)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15577, 2244, 15571, 15565, 15561, 15557, 15553, 15527])).
% 34.09/22.70 tff(15579,plain,
% 34.09/22.70 ($false),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[14669, 1342, 15571, 15578])).
% 34.09/22.70 tff(15580,plain,((~v100(constB102)) | v26(constB101) | (~v90(constB102, bitIndex2)) | (~v90(constB102, bitIndex0)) | (~v90(constB102, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 34.09/22.70 tff(15581,plain,
% 34.09/22.70 ((~v100(constB102)) | (~v90(constB102, bitIndex2)) | (~v90(constB102, bitIndex0)) | (~v90(constB102, bitIndex1))),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15580, 14611])).
% 34.09/22.70 tff(15582,plain,
% 34.09/22.70 (~v100(constB102)),
% 34.09/22.70 inference(unit_resolution,[status(thm)],[15581, 15476, 15510, 15493])).
% 34.09/22.70 tff(15583,plain,
% 34.09/22.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB101, bitIndex2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB101, bitIndex2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex2)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.70 tff(15584,plain,
% 34.09/22.70 (((~nextState(constB101, constB102)) | v90(constB101, bitIndex2) | v100(constB102) | (~v90(constB102, bitIndex2))) <=> (v90(constB101, bitIndex2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex2)))),
% 34.09/22.70 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15585,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex2) | v100(constB102) | (~v90(constB102, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB101, bitIndex2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex2))))),
% 34.09/22.71 inference(monotonicity,[status(thm)],[15584])).
% 34.09/22.71 tff(15586,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex2) | v100(constB102) | (~v90(constB102, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB101, bitIndex2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex2)))),
% 34.09/22.71 inference(transitivity,[status(thm)],[15585, 15583])).
% 34.09/22.71 tff(15587,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex2) | v100(constB102) | (~v90(constB102, bitIndex2)))),
% 34.09/22.71 inference(quant_inst,[status(thm)],[])).
% 34.09/22.71 tff(15588,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB101, bitIndex2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex2))),
% 34.09/22.71 inference(modus_ponens,[status(thm)],[15587, 15586])).
% 34.09/22.71 tff(15589,plain,
% 34.09/22.71 (v90(constB101, bitIndex2) | v100(constB102) | (~v90(constB102, bitIndex2))),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15588, 413, 14626])).
% 34.09/22.71 tff(15590,plain,
% 34.09/22.71 (v90(constB101, bitIndex2)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15589, 15582, 15476])).
% 34.09/22.71 tff(15591,plain,
% 34.09/22.71 (v90(constB100, bitIndex2)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[14537, 15590])).
% 34.09/22.71 tff(15592,assumption,(~v90(constB99, bitIndex2)), introduced(assumption)).
% 34.09/22.71 tff(15593,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB99, bitIndex2) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB99, bitIndex2) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, bitIndex2)))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15594,plain,
% 34.09/22.71 (((~nextState(constB99, constB100)) | v90(constB99, bitIndex2) | v100(constB100) | (~v90(constB100, bitIndex2))) <=> (v90(constB99, bitIndex2) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, bitIndex2)))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15595,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v90(constB99, bitIndex2) | v100(constB100) | (~v90(constB100, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB99, bitIndex2) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, bitIndex2))))),
% 34.09/22.71 inference(monotonicity,[status(thm)],[15594])).
% 34.09/22.71 tff(15596,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v90(constB99, bitIndex2) | v100(constB100) | (~v90(constB100, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB99, bitIndex2) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, bitIndex2)))),
% 34.09/22.71 inference(transitivity,[status(thm)],[15595, 15593])).
% 34.09/22.71 tff(15597,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v90(constB99, bitIndex2) | v100(constB100) | (~v90(constB100, bitIndex2)))),
% 34.09/22.71 inference(quant_inst,[status(thm)],[])).
% 34.09/22.71 tff(15598,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB99, bitIndex2) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, bitIndex2))),
% 34.09/22.71 inference(modus_ponens,[status(thm)],[15597, 15596])).
% 34.09/22.71 tff(15599,plain,
% 34.09/22.71 (v90(constB99, bitIndex2) | v100(constB100) | (~v90(constB100, bitIndex2))),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15598, 413, 14385])).
% 34.09/22.71 tff(15600,plain,
% 34.09/22.71 (v100(constB100)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15599, 15592, 15591])).
% 34.09/22.71 tff(15601,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB101, bitIndex1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB101, bitIndex1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex1)))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15602,plain,
% 34.09/22.71 (((~nextState(constB101, constB102)) | v90(constB101, bitIndex1) | v100(constB102) | (~v90(constB102, bitIndex1))) <=> (v90(constB101, bitIndex1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex1)))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15603,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex1) | v100(constB102) | (~v90(constB102, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB101, bitIndex1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex1))))),
% 34.09/22.71 inference(monotonicity,[status(thm)],[15602])).
% 34.09/22.71 tff(15604,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex1) | v100(constB102) | (~v90(constB102, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB101, bitIndex1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex1)))),
% 34.09/22.71 inference(transitivity,[status(thm)],[15603, 15601])).
% 34.09/22.71 tff(15605,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex1) | v100(constB102) | (~v90(constB102, bitIndex1)))),
% 34.09/22.71 inference(quant_inst,[status(thm)],[])).
% 34.09/22.71 tff(15606,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB101, bitIndex1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex1))),
% 34.09/22.71 inference(modus_ponens,[status(thm)],[15605, 15604])).
% 34.09/22.71 tff(15607,plain,
% 34.09/22.71 (v90(constB101, bitIndex1) | v100(constB102) | (~v90(constB102, bitIndex1))),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15606, 434, 14626])).
% 34.09/22.71 tff(15608,plain,
% 34.09/22.71 (v90(constB101, bitIndex1)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15607, 15582, 15493])).
% 34.09/22.71 tff(15609,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex1)))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15610,plain,
% 34.09/22.71 (((~nextState(constB100, constB101)) | v90(constB100, bitIndex1) | v100(constB101) | (~v90(constB101, bitIndex1))) <=> (v90(constB100, bitIndex1) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex1)))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15611,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex1) | v100(constB101) | (~v90(constB101, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex1))))),
% 34.09/22.71 inference(monotonicity,[status(thm)],[15610])).
% 34.09/22.71 tff(15612,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex1) | v100(constB101) | (~v90(constB101, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex1)))),
% 34.09/22.71 inference(transitivity,[status(thm)],[15611, 15609])).
% 34.09/22.71 tff(15613,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex1) | v100(constB101) | (~v90(constB101, bitIndex1)))),
% 34.09/22.71 inference(quant_inst,[status(thm)],[])).
% 34.09/22.71 tff(15614,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex1))),
% 34.09/22.71 inference(modus_ponens,[status(thm)],[15613, 15612])).
% 34.09/22.71 tff(15615,plain,
% 34.09/22.71 (v90(constB100, bitIndex1) | v100(constB101) | (~v90(constB101, bitIndex1))),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15614, 434, 14483])).
% 34.09/22.71 tff(15616,plain,
% 34.09/22.71 (v90(constB100, bitIndex1) | (~v90(constB101, bitIndex1))),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15615, 14495])).
% 34.09/22.71 tff(15617,plain,
% 34.09/22.71 (v90(constB100, bitIndex1)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15616, 15608])).
% 34.09/22.71 tff(15618,plain,
% 34.09/22.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | v129(constB100, bitIndex1) | (~v100(constB100)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | v129(constB100, bitIndex1) | (~v100(constB100)))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15619,plain,
% 34.09/22.71 (((~v90(constB100, bitIndex1)) | (~v100(constB100)) | v129(constB100, bitIndex1)) <=> ((~v90(constB100, bitIndex1)) | v129(constB100, bitIndex1) | (~v100(constB100)))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15620,plain,
% 34.09/22.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~v100(constB100)) | v129(constB100, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | v129(constB100, bitIndex1) | (~v100(constB100))))),
% 34.09/22.71 inference(monotonicity,[status(thm)],[15619])).
% 34.09/22.71 tff(15621,plain,
% 34.09/22.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~v100(constB100)) | v129(constB100, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | v129(constB100, bitIndex1) | (~v100(constB100)))),
% 34.09/22.71 inference(transitivity,[status(thm)],[15620, 15618])).
% 34.09/22.71 tff(15622,plain,
% 34.09/22.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~v100(constB100)) | v129(constB100, bitIndex1))),
% 34.09/22.71 inference(quant_inst,[status(thm)],[])).
% 34.09/22.71 tff(15623,plain,
% 34.09/22.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | v129(constB100, bitIndex1) | (~v100(constB100))),
% 34.09/22.71 inference(modus_ponens,[status(thm)],[15622, 15621])).
% 34.09/22.71 tff(15624,plain,
% 34.09/22.71 (v129(constB100, bitIndex1) | (~v100(constB100))),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15623, 814, 15617])).
% 34.09/22.71 tff(15625,plain,
% 34.09/22.71 (v129(constB100, bitIndex1)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15624, 15600])).
% 34.09/22.71 tff(15626,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex1) | (~v129(constB100, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex1) | (~v129(constB100, bitIndex1)))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15627,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex1) | (~v129(constB100, bitIndex1)))),
% 34.09/22.71 inference(quant_inst,[status(thm)],[])).
% 34.09/22.71 tff(15628,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex1) | (~v129(constB100, bitIndex1))),
% 34.09/22.71 inference(modus_ponens,[status(thm)],[15627, 15626])).
% 34.09/22.71 tff(15629,plain,
% 34.09/22.71 (v127(constB99, bitIndex1) | (~v129(constB100, bitIndex1))),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15628, 799, 14385])).
% 34.09/22.71 tff(15630,plain,
% 34.09/22.71 (v127(constB99, bitIndex1)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15629, 15625])).
% 34.09/22.71 tff(15631,plain,
% 34.09/22.71 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB99)) | (~v127(constB99, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB99)) | (~v127(constB99, bitIndex1)))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15632,plain,
% 34.09/22.71 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB99)) | (~v127(constB99, bitIndex1)))),
% 34.09/22.71 inference(quant_inst,[status(thm)],[])).
% 34.09/22.71 tff(15633,plain,
% 34.09/22.71 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB99)) | (~v127(constB99, bitIndex1))),
% 34.09/22.71 inference(modus_ponens,[status(thm)],[15632, 15631])).
% 34.09/22.71 tff(15634,plain,
% 34.09/22.71 (~v26(constB99)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15633, 3727, 15630])).
% 34.09/22.71 tff(15635,plain,
% 34.09/22.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB99, bitIndex1)) | v26(constB99) | v130(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB99, bitIndex1)) | v26(constB99) | v130(constB99, bitIndex1))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15636,plain,
% 34.09/22.71 ((v26(constB99) | v130(constB99, bitIndex1) | (~v127(constB99, bitIndex1))) <=> ((~v127(constB99, bitIndex1)) | v26(constB99) | v130(constB99, bitIndex1))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15637,plain,
% 34.09/22.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB99) | v130(constB99, bitIndex1) | (~v127(constB99, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB99, bitIndex1)) | v26(constB99) | v130(constB99, bitIndex1)))),
% 34.09/22.71 inference(monotonicity,[status(thm)],[15636])).
% 34.09/22.71 tff(15638,plain,
% 34.09/22.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB99) | v130(constB99, bitIndex1) | (~v127(constB99, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB99, bitIndex1)) | v26(constB99) | v130(constB99, bitIndex1))),
% 34.09/22.71 inference(transitivity,[status(thm)],[15637, 15635])).
% 34.09/22.71 tff(15639,plain,
% 34.09/22.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB99) | v130(constB99, bitIndex1) | (~v127(constB99, bitIndex1)))),
% 34.09/22.71 inference(quant_inst,[status(thm)],[])).
% 34.09/22.71 tff(15640,plain,
% 34.09/22.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB99, bitIndex1)) | v26(constB99) | v130(constB99, bitIndex1)),
% 34.09/22.71 inference(modus_ponens,[status(thm)],[15639, 15638])).
% 34.09/22.71 tff(15641,plain,
% 34.09/22.71 (v130(constB99, bitIndex1)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15640, 781, 15630, 15634])).
% 34.09/22.71 tff(15642,plain,
% 34.09/22.71 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB99)) | (~v130(constB99, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB99)) | (~v130(constB99, bitIndex1)))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15643,plain,
% 34.09/22.71 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB99)) | (~v130(constB99, bitIndex1)))),
% 34.09/22.71 inference(quant_inst,[status(thm)],[])).
% 34.09/22.71 tff(15644,plain,
% 34.09/22.71 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB99)) | (~v130(constB99, bitIndex1))),
% 34.09/22.71 inference(modus_ponens,[status(thm)],[15643, 15642])).
% 34.09/22.71 tff(15645,plain,
% 34.09/22.71 (~v119(constB99)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15644, 767, 15641])).
% 34.09/22.71 tff(15646,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB105, bitIndex0)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB105, bitIndex0)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex0))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15647,plain,
% 34.09/22.71 (((~nextState(constB105, constB106)) | (~v90(constB105, bitIndex0)) | v100(constB106) | v90(constB106, bitIndex0)) <=> ((~v90(constB105, bitIndex0)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex0))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15648,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v90(constB105, bitIndex0)) | v100(constB106) | v90(constB106, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB105, bitIndex0)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex0)))),
% 34.09/22.71 inference(monotonicity,[status(thm)],[15647])).
% 34.09/22.71 tff(15649,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v90(constB105, bitIndex0)) | v100(constB106) | v90(constB106, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB105, bitIndex0)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex0))),
% 34.09/22.71 inference(transitivity,[status(thm)],[15648, 15646])).
% 34.09/22.71 tff(15650,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v90(constB105, bitIndex0)) | v100(constB106) | v90(constB106, bitIndex0))),
% 34.09/22.71 inference(quant_inst,[status(thm)],[])).
% 34.09/22.71 tff(15651,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB105, bitIndex0)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex0)),
% 34.09/22.71 inference(modus_ponens,[status(thm)],[15650, 15649])).
% 34.09/22.71 tff(15652,plain,
% 34.09/22.71 ((~v90(constB105, bitIndex0)) | v100(constB106) | v90(constB106, bitIndex0)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15651, 903, 15224])).
% 34.09/22.71 tff(15653,plain,
% 34.09/22.71 (v90(constB106, bitIndex0)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15652, 15390, 15230])).
% 34.09/22.71 tff(15654,assumption,(~v90(constB106, bitIndex2)), introduced(assumption)).
% 34.09/22.71 tff(15655,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB105, bitIndex2)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB105, bitIndex2)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex2))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15656,plain,
% 34.09/22.71 (((~nextState(constB105, constB106)) | (~v90(constB105, bitIndex2)) | v100(constB106) | v90(constB106, bitIndex2)) <=> ((~v90(constB105, bitIndex2)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex2))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15657,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v90(constB105, bitIndex2)) | v100(constB106) | v90(constB106, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB105, bitIndex2)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex2)))),
% 34.09/22.71 inference(monotonicity,[status(thm)],[15656])).
% 34.09/22.71 tff(15658,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v90(constB105, bitIndex2)) | v100(constB106) | v90(constB106, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB105, bitIndex2)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex2))),
% 34.09/22.71 inference(transitivity,[status(thm)],[15657, 15655])).
% 34.09/22.71 tff(15659,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v90(constB105, bitIndex2)) | v100(constB106) | v90(constB106, bitIndex2))),
% 34.09/22.71 inference(quant_inst,[status(thm)],[])).
% 34.09/22.71 tff(15660,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB105, bitIndex2)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, bitIndex2)),
% 34.09/22.71 inference(modus_ponens,[status(thm)],[15659, 15658])).
% 34.09/22.71 tff(15661,plain,
% 34.09/22.71 ((~v90(constB105, bitIndex2)) | v100(constB106) | v90(constB106, bitIndex2)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15660, 1658, 15224])).
% 34.09/22.71 tff(15662,plain,
% 34.09/22.71 (~v90(constB105, bitIndex2)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15661, 15230, 15654])).
% 34.09/22.71 tff(15663,assumption,(v90(constB106, bitIndex1)), introduced(assumption)).
% 34.09/22.71 tff(15664,plain,
% 34.09/22.71 (v90(constB105, bitIndex1)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15370, 15230, 15663])).
% 34.09/22.71 tff(15665,assumption,(v90(constB106, bitIndex0)), introduced(assumption)).
% 34.09/22.71 tff(15666,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB105, bitIndex0) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB105, bitIndex0) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex0)))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15667,plain,
% 34.09/22.71 (((~nextState(constB105, constB106)) | v90(constB105, bitIndex0) | v100(constB106) | (~v90(constB106, bitIndex0))) <=> (v90(constB105, bitIndex0) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex0)))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15668,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB105, constB106)) | v90(constB105, bitIndex0) | v100(constB106) | (~v90(constB106, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB105, bitIndex0) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex0))))),
% 34.09/22.71 inference(monotonicity,[status(thm)],[15667])).
% 34.09/22.71 tff(15669,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB105, constB106)) | v90(constB105, bitIndex0) | v100(constB106) | (~v90(constB106, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB105, bitIndex0) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex0)))),
% 34.09/22.71 inference(transitivity,[status(thm)],[15668, 15666])).
% 34.09/22.71 tff(15670,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB105, constB106)) | v90(constB105, bitIndex0) | v100(constB106) | (~v90(constB106, bitIndex0)))),
% 34.09/22.71 inference(quant_inst,[status(thm)],[])).
% 34.09/22.71 tff(15671,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB105, bitIndex0) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex0))),
% 34.09/22.71 inference(modus_ponens,[status(thm)],[15670, 15669])).
% 34.09/22.71 tff(15672,plain,
% 34.09/22.71 (v90(constB105, bitIndex0) | v100(constB106) | (~v90(constB106, bitIndex0))),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15671, 455, 15224])).
% 34.09/22.71 tff(15673,plain,
% 34.09/22.71 (v90(constB105, bitIndex0)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15672, 15230, 15665])).
% 34.09/22.71 tff(15674,plain,
% 34.09/22.71 (v122(constB105)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15393, 1486, 15673, 15664, 15662])).
% 34.09/22.71 tff(15675,plain,
% 34.09/22.71 (v116(constB105)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15297, 1497, 15674])).
% 34.09/22.71 tff(15676,plain,
% 34.09/22.71 (v115(constB105)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15293, 520, 15675])).
% 34.09/22.71 tff(15677,plain,
% 34.09/22.71 ($false),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15289, 531, 15676, 15286])).
% 34.09/22.71 tff(15678,plain,(v100(constB106) | v90(constB106, bitIndex2) | (~v90(constB106, bitIndex0)) | (~v90(constB106, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 34.09/22.71 tff(15679,plain,
% 34.09/22.71 (v90(constB106, bitIndex2)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15678, 15653, 15230, 15363])).
% 34.09/22.71 tff(15680,assumption,(v90(constB106, bitIndex2)), introduced(assumption)).
% 34.09/22.71 tff(15681,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB105, bitIndex2) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB105, bitIndex2) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex2)))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15682,plain,
% 34.09/22.71 (((~nextState(constB105, constB106)) | v90(constB105, bitIndex2) | v100(constB106) | (~v90(constB106, bitIndex2))) <=> (v90(constB105, bitIndex2) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex2)))),
% 34.09/22.71 inference(rewrite,[status(thm)],[])).
% 34.09/22.71 tff(15683,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v90(constB105, bitIndex2) | v100(constB106) | (~v90(constB106, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB105, bitIndex2) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex2))))),
% 34.09/22.71 inference(monotonicity,[status(thm)],[15682])).
% 34.09/22.71 tff(15684,plain,
% 34.09/22.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v90(constB105, bitIndex2) | v100(constB106) | (~v90(constB106, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB105, bitIndex2) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex2)))),
% 34.09/22.71 inference(transitivity,[status(thm)],[15683, 15681])).
% 34.09/22.71 tff(15685,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v90(constB105, bitIndex2) | v100(constB106) | (~v90(constB106, bitIndex2)))),
% 34.09/22.71 inference(quant_inst,[status(thm)],[])).
% 34.09/22.71 tff(15686,plain,
% 34.09/22.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB105, bitIndex2) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex2))),
% 34.09/22.71 inference(modus_ponens,[status(thm)],[15685, 15684])).
% 34.09/22.71 tff(15687,plain,
% 34.09/22.71 (v90(constB105, bitIndex2) | v100(constB106) | (~v90(constB106, bitIndex2))),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15686, 413, 15224])).
% 34.09/22.71 tff(15688,plain,
% 34.09/22.71 (v90(constB105, bitIndex2)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15687, 15230, 15680])).
% 34.09/22.71 tff(15689,plain,
% 34.09/22.71 (v90(constB104, bitIndex2)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15403, 15688])).
% 34.09/22.71 tff(15690,plain,
% 34.09/22.71 (v90(constB104, bitIndex0)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15202, 15673])).
% 34.09/22.71 tff(15691,plain,
% 34.09/22.71 (v90(constB104, bitIndex1)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15162, 15664])).
% 34.09/22.71 tff(15692,plain,
% 34.09/22.71 (~v100(constB104)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15466, 15689, 15691, 15690])).
% 34.09/22.71 tff(15693,plain,
% 34.09/22.71 (v90(constB103, bitIndex2)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15474, 15692, 15689])).
% 34.09/22.71 tff(15694,plain,
% 34.09/22.71 (v90(constB102, bitIndex2)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[14717, 15693])).
% 34.09/22.71 tff(15695,plain,
% 34.09/22.71 (v90(constB103, bitIndex1)),
% 34.09/22.71 inference(unit_resolution,[status(thm)],[15483, 15692, 15691])).
% 34.09/22.72 tff(15696,plain,
% 34.09/22.72 (v90(constB102, bitIndex1)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15492, 15695])).
% 34.09/22.72 tff(15697,plain,
% 34.09/22.72 (v90(constB103, bitIndex0)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15500, 15692, 15690])).
% 34.09/22.72 tff(15698,plain,
% 34.09/22.72 (v90(constB102, bitIndex0)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15509, 15697])).
% 34.09/22.72 tff(15699,plain,
% 34.09/22.72 (~v100(constB102)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15581, 15694, 15698, 15696])).
% 34.09/22.72 tff(15700,plain,
% 34.09/22.72 (v90(constB101, bitIndex2)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15589, 15699, 15694])).
% 34.09/22.72 tff(15701,plain,
% 34.09/22.72 (v90(constB100, bitIndex2)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[14537, 15700])).
% 34.09/22.72 tff(15702,plain,
% 34.09/22.72 (v100(constB100)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15599, 15701, 15592])).
% 34.09/22.72 tff(15703,plain,
% 34.09/22.72 (v129(constB100, bitIndex2)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[14527, 722, 15702, 15701])).
% 34.09/22.72 tff(15704,plain,
% 34.09/22.72 (v127(constB99, bitIndex2)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[14520, 15703])).
% 34.09/22.72 tff(15705,assumption,(~v130(constB99, bitIndex2)), introduced(assumption)).
% 34.09/22.72 tff(15706,plain,
% 34.09/22.72 ((~v127(constB99, bitIndex2)) | v26(constB99)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[14514, 689, 15705])).
% 34.09/22.72 tff(15707,plain,
% 34.09/22.72 (v26(constB99)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15706, 15704])).
% 34.09/22.72 tff(15708,plain,
% 34.09/22.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15709,plain,
% 34.09/22.72 (((~nextState(constB101, constB102)) | v90(constB101, bitIndex0) | v100(constB102) | (~v90(constB102, bitIndex0))) <=> (v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15710,plain,
% 34.09/22.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex0) | v100(constB102) | (~v90(constB102, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0))))),
% 34.09/22.72 inference(monotonicity,[status(thm)],[15709])).
% 34.09/22.72 tff(15711,plain,
% 34.09/22.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex0) | v100(constB102) | (~v90(constB102, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0)))),
% 34.09/22.72 inference(transitivity,[status(thm)],[15710, 15708])).
% 34.09/22.72 tff(15712,plain,
% 34.09/22.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex0) | v100(constB102) | (~v90(constB102, bitIndex0)))),
% 34.09/22.72 inference(quant_inst,[status(thm)],[])).
% 34.09/22.72 tff(15713,plain,
% 34.09/22.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0))),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15712, 15711])).
% 34.09/22.72 tff(15714,plain,
% 34.09/22.72 (v90(constB101, bitIndex0) | v100(constB102) | (~v90(constB102, bitIndex0))),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15713, 455, 14626])).
% 34.09/22.72 tff(15715,plain,
% 34.09/22.72 (v90(constB101, bitIndex0)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15714, 15699, 15698])).
% 34.09/22.72 tff(15716,plain,
% 34.09/22.72 (v90(constB100, bitIndex0)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[14579, 15715])).
% 34.09/22.72 tff(15717,plain,
% 34.09/22.72 (v129(constB100, bitIndex0)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[14569, 1215, 15702, 15716])).
% 34.09/22.72 tff(15718,plain,
% 34.09/22.72 (v127(constB99, bitIndex0)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[14562, 15717])).
% 34.09/22.72 tff(15719,plain,
% 34.09/22.72 ($false),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[14555, 3012, 15718, 15707])).
% 34.09/22.72 tff(15720,plain,(v100(constB106) | v130(constB99, bitIndex2) | v90(constB99, bitIndex2) | (~v90(constB106, bitIndex0)) | (~v90(constB106, bitIndex2)) | (~v90(constB106, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 34.09/22.72 tff(15721,plain,
% 34.09/22.72 (v130(constB99, bitIndex2)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15720, 15592, 15230, 15363, 15679, 15653])).
% 34.09/22.72 tff(15722,plain,
% 34.09/22.72 (~v120(constB99)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[14507, 1025, 15721])).
% 34.09/22.72 tff(15723,plain,
% 34.09/22.72 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB99)) | (~v130(constB99, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB99)) | (~v130(constB99, bitIndex1)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15724,plain,
% 34.09/22.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB99)) | (~v130(constB99, bitIndex1)))),
% 34.09/22.72 inference(quant_inst,[status(thm)],[])).
% 34.09/22.72 tff(15725,plain,
% 34.09/22.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB99)) | (~v130(constB99, bitIndex1))),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15724, 15723])).
% 34.09/22.72 tff(15726,plain,
% 34.09/22.72 (~v122(constB99)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15725, 1677, 15641])).
% 34.09/22.72 tff(15727,plain,
% 34.09/22.72 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB99)) | (~v130(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB99)) | (~v130(constB99, bitIndex2)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15728,plain,
% 34.09/22.72 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB99)) | (~v130(constB99, bitIndex2)))),
% 34.09/22.72 inference(quant_inst,[status(thm)],[])).
% 34.09/22.72 tff(15729,plain,
% 34.09/22.72 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB99)) | (~v130(constB99, bitIndex2))),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15728, 15727])).
% 34.09/22.72 tff(15730,plain,
% 34.09/22.72 (~v121(constB99)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15729, 1342, 15721])).
% 34.09/22.72 tff(15731,plain,
% 34.09/22.72 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB99, bitIndex2) | (~v123(constB99)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB99, bitIndex2) | (~v123(constB99)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15732,plain,
% 34.09/22.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB99, bitIndex2) | (~v123(constB99)))),
% 34.09/22.72 inference(quant_inst,[status(thm)],[])).
% 34.09/22.72 tff(15733,plain,
% 34.09/22.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB99, bitIndex2) | (~v123(constB99))),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15732, 15731])).
% 34.09/22.72 tff(15734,plain,
% 34.09/22.72 (~v123(constB99)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15733, 4557, 15592])).
% 34.09/22.72 tff(15735,plain,
% 34.09/22.72 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> (v90(VarCurr, bitIndex2) | (~v124(VarCurr))))),
% 34.09/22.72 inference(bind,[status(th)],[])).
% 34.09/22.72 tff(15736,plain,
% 34.09/22.72 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 34.09/22.72 inference(quant_intro,[status(thm)],[15735])).
% 34.09/22.72 tff(15737,plain,
% 34.09/22.72 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15738,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_2')).
% 34.09/22.72 tff(15739,plain,
% 34.09/22.72 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15738, 15737])).
% 34.09/22.72 tff(15740,plain,(
% 34.09/22.72 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 34.09/22.72 inference(skolemize,[status(sab)],[15739])).
% 34.09/22.72 tff(15741,plain,
% 34.09/22.72 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15740, 15736])).
% 34.09/22.72 tff(15742,plain,
% 34.09/22.72 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB99, bitIndex2) | (~v124(constB99)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB99, bitIndex2) | (~v124(constB99)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15743,plain,
% 34.09/22.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB99, bitIndex2) | (~v124(constB99)))),
% 34.09/22.72 inference(quant_inst,[status(thm)],[])).
% 34.09/22.72 tff(15744,plain,
% 34.09/22.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB99, bitIndex2) | (~v124(constB99))),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15743, 15742])).
% 34.09/22.72 tff(15745,plain,
% 34.09/22.72 (~v124(constB99)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15744, 15741, 15592])).
% 34.09/22.72 tff(15746,plain,
% 34.09/22.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB99) | v123(constB99) | v124(constB99) | v121(constB99) | v120(constB99) | v122(constB99) | (~v130(constB99, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB99) | v123(constB99) | v124(constB99) | v121(constB99) | v120(constB99) | v122(constB99) | (~v130(constB99, bitIndex1)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15747,plain,
% 34.09/22.72 ((v120(constB99) | v119(constB99) | v121(constB99) | v122(constB99) | v123(constB99) | v124(constB99) | (~v130(constB99, bitIndex1))) <=> (v119(constB99) | v123(constB99) | v124(constB99) | v121(constB99) | v120(constB99) | v122(constB99) | (~v130(constB99, bitIndex1)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15748,plain,
% 34.09/22.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB99) | v119(constB99) | v121(constB99) | v122(constB99) | v123(constB99) | v124(constB99) | (~v130(constB99, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB99) | v123(constB99) | v124(constB99) | v121(constB99) | v120(constB99) | v122(constB99) | (~v130(constB99, bitIndex1))))),
% 34.09/22.72 inference(monotonicity,[status(thm)],[15747])).
% 34.09/22.72 tff(15749,plain,
% 34.09/22.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB99) | v119(constB99) | v121(constB99) | v122(constB99) | v123(constB99) | v124(constB99) | (~v130(constB99, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB99) | v123(constB99) | v124(constB99) | v121(constB99) | v120(constB99) | v122(constB99) | (~v130(constB99, bitIndex1)))),
% 34.09/22.72 inference(transitivity,[status(thm)],[15748, 15746])).
% 34.09/22.72 tff(15750,plain,
% 34.09/22.72 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB99) | v119(constB99) | v121(constB99) | v122(constB99) | v123(constB99) | v124(constB99) | (~v130(constB99, bitIndex1)))),
% 34.09/22.72 inference(quant_inst,[status(thm)],[])).
% 34.09/22.72 tff(15751,plain,
% 34.09/22.72 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB99) | v123(constB99) | v124(constB99) | v121(constB99) | v120(constB99) | v122(constB99) | (~v130(constB99, bitIndex1))),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15750, 15749])).
% 34.09/22.72 tff(15752,plain,
% 34.09/22.72 (v119(constB99) | v121(constB99) | v120(constB99) | v122(constB99)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15751, 2448, 15641, 15745, 15734])).
% 34.09/22.72 tff(15753,plain,
% 34.09/22.72 ($false),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15752, 15730, 15726, 15722, 15645])).
% 34.09/22.72 tff(15754,plain,(v90(constB99, bitIndex2) | v100(constB106)), inference(lemma,lemma(discharge,[]))).
% 34.09/22.72 tff(15755,plain,
% 34.09/22.72 (v100(constB106)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15754, 14295])).
% 34.09/22.72 tff(15756,plain,
% 34.09/22.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15757,plain,
% 34.09/22.72 ((v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2))) <=> (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15758,plain,
% 34.09/22.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106))))),
% 34.09/22.72 inference(monotonicity,[status(thm)],[15757])).
% 34.09/22.72 tff(15759,plain,
% 34.09/22.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))),
% 34.09/22.72 inference(transitivity,[status(thm)],[15758, 15756])).
% 34.09/22.72 tff(15760,plain,
% 34.09/22.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2)))),
% 34.09/22.72 inference(quant_inst,[status(thm)],[])).
% 34.09/22.72 tff(15761,plain,
% 34.09/22.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106))),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15760, 15759])).
% 34.09/22.72 tff(15762,plain,
% 34.09/22.72 (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2))),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15761, 1622, 15755])).
% 34.09/22.72 tff(15763,plain,
% 34.09/22.72 (v90(constB106, bitIndex2)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15762, 15229])).
% 34.09/22.72 tff(15764,plain,
% 34.09/22.72 ((~v1(constB107)) <=> (~v1(constB107))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15765,axiom,(~v1(constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 34.09/22.72 tff(15766,plain,
% 34.09/22.72 (~v1(constB107)),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15765, 15764])).
% 34.09/22.72 tff(15767,plain,
% 34.09/22.72 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15768,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 34.09/22.72 tff(15769,plain,
% 34.09/22.72 (nextState(constB106, constB107)),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15768, 15767])).
% 34.09/22.72 tff(15770,plain,
% 34.09/22.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15771,plain,
% 34.09/22.72 (((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15772,plain,
% 34.09/22.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))))),
% 34.09/22.72 inference(monotonicity,[status(thm)],[15771])).
% 34.09/22.72 tff(15773,plain,
% 34.09/22.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 34.09/22.72 inference(transitivity,[status(thm)],[15772, 15770])).
% 34.09/22.72 tff(15774,plain,
% 34.09/22.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))),
% 34.09/22.72 inference(quant_inst,[status(thm)],[])).
% 34.09/22.72 tff(15775,plain,
% 34.09/22.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15774, 15773])).
% 34.09/22.72 tff(15776,plain,
% 34.09/22.72 (~v101(constB107)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15775, 381, 15769, 15766])).
% 34.09/22.72 tff(15777,plain,
% 34.09/22.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15778,plain,
% 34.09/22.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 34.09/22.72 inference(quant_inst,[status(thm)],[])).
% 34.09/22.72 tff(15779,plain,
% 34.09/22.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107))),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15778, 15777])).
% 34.09/22.72 tff(15780,plain,
% 34.09/22.72 (v101(constB107) | (~v100(constB107))),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15779, 398, 15769])).
% 34.09/22.72 tff(15781,plain,
% 34.09/22.72 (~v100(constB107)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15780, 15776])).
% 34.09/22.72 tff(15782,plain,
% 34.09/22.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15783,plain,
% 34.09/22.72 (((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2)) <=> ((~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15784,plain,
% 34.09/22.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2)))),
% 34.09/22.72 inference(monotonicity,[status(thm)],[15783])).
% 34.09/22.72 tff(15785,plain,
% 34.09/22.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))),
% 34.09/22.72 inference(transitivity,[status(thm)],[15784, 15782])).
% 34.09/22.72 tff(15786,plain,
% 34.09/22.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2))),
% 34.09/22.72 inference(quant_inst,[status(thm)],[])).
% 34.09/22.72 tff(15787,plain,
% 34.09/22.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2)),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15786, 15785])).
% 34.09/22.72 tff(15788,plain,
% 34.09/22.72 ((~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15787, 1658, 15769])).
% 34.09/22.72 tff(15789,plain,
% 34.09/22.72 ((~v90(constB106, bitIndex2)) | v90(constB107, bitIndex2)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15788, 15781])).
% 34.09/22.72 tff(15790,plain,
% 34.09/22.72 (v90(constB107, bitIndex2)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15789, 15763])).
% 34.09/22.72 tff(15791,plain,
% 34.09/22.72 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB105)) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB105)) | (~v130(constB105, bitIndex1)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15792,plain,
% 34.09/22.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB105)) | (~v130(constB105, bitIndex1)))),
% 34.09/22.72 inference(quant_inst,[status(thm)],[])).
% 34.09/22.72 tff(15793,plain,
% 34.09/22.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB105)) | (~v130(constB105, bitIndex1))),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15792, 15791])).
% 34.09/22.72 tff(15794,plain,
% 34.09/22.72 (~v130(constB105, bitIndex1)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15793, 1909, 15208])).
% 34.09/22.72 tff(15795,plain,
% 34.09/22.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15796,plain,
% 34.09/22.72 ((v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1))) <=> ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15797,plain,
% 34.09/22.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)))),
% 34.09/22.72 inference(monotonicity,[status(thm)],[15796])).
% 34.09/22.72 tff(15798,plain,
% 34.09/22.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 34.09/22.72 inference(transitivity,[status(thm)],[15797, 15795])).
% 34.09/22.72 tff(15799,plain,
% 34.09/22.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))),
% 34.09/22.72 inference(quant_inst,[status(thm)],[])).
% 34.09/22.72 tff(15800,plain,
% 34.09/22.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15799, 15798])).
% 34.09/22.72 tff(15801,plain,
% 34.09/22.72 ((~v127(constB105, bitIndex1)) | v130(constB105, bitIndex1)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15800, 781, 15216])).
% 34.09/22.72 tff(15802,plain,
% 34.09/22.72 (~v127(constB105, bitIndex1)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15801, 15794])).
% 34.09/22.72 tff(15803,plain,
% 34.09/22.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15804,plain,
% 34.09/22.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 34.09/22.72 inference(quant_inst,[status(thm)],[])).
% 34.09/22.72 tff(15805,plain,
% 34.09/22.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15804, 15803])).
% 34.09/22.72 tff(15806,plain,
% 34.09/22.72 (v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15805, 799, 15224])).
% 34.09/22.72 tff(15807,plain,
% 34.09/22.72 (~v129(constB106, bitIndex1)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15806, 15802])).
% 34.09/22.72 tff(15808,plain,
% 34.09/22.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15809,plain,
% 34.09/22.72 (((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1)) <=> ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15810,plain,
% 34.09/22.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))))),
% 34.09/22.72 inference(monotonicity,[status(thm)],[15809])).
% 34.09/22.72 tff(15811,plain,
% 34.09/22.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 34.09/22.72 inference(transitivity,[status(thm)],[15810, 15808])).
% 34.09/22.72 tff(15812,plain,
% 34.09/22.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))),
% 34.09/22.72 inference(quant_inst,[status(thm)],[])).
% 34.09/22.72 tff(15813,plain,
% 34.09/22.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15812, 15811])).
% 34.09/22.72 tff(15814,plain,
% 34.09/22.72 ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15813, 814, 15755])).
% 34.09/22.72 tff(15815,plain,
% 34.09/22.72 (~v90(constB106, bitIndex1)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15814, 15807])).
% 34.09/22.72 tff(15816,plain,
% 34.09/22.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15817,plain,
% 34.09/22.72 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))) <=> (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 34.09/22.72 inference(rewrite,[status(thm)],[])).
% 34.09/22.72 tff(15818,plain,
% 34.09/22.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1))))),
% 34.09/22.72 inference(monotonicity,[status(thm)],[15817])).
% 34.09/22.72 tff(15819,plain,
% 34.09/22.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 34.09/22.72 inference(transitivity,[status(thm)],[15818, 15816])).
% 34.09/22.72 tff(15820,plain,
% 34.09/22.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 34.09/22.72 inference(quant_inst,[status(thm)],[])).
% 34.09/22.72 tff(15821,plain,
% 34.09/22.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 34.09/22.72 inference(modus_ponens,[status(thm)],[15820, 15819])).
% 34.09/22.72 tff(15822,plain,
% 34.09/22.72 (v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15821, 434, 15769])).
% 34.09/22.72 tff(15823,plain,
% 34.09/22.72 (v90(constB106, bitIndex1) | (~v90(constB107, bitIndex1))),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15822, 15781])).
% 34.09/22.72 tff(15824,plain,
% 34.09/22.72 (~v90(constB107, bitIndex1)),
% 34.09/22.72 inference(unit_resolution,[status(thm)],[15823, 15815])).
% 34.09/22.72 tff(15825,plain,
% 34.09/22.72 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB105)) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB105)) | v130(constB105, bitIndex0))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15826,plain,
% 34.09/22.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB105)) | v130(constB105, bitIndex0))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15827,plain,
% 34.09/22.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB105)) | v130(constB105, bitIndex0)),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15826, 15825])).
% 34.09/22.73 tff(15828,plain,
% 34.09/22.73 (v130(constB105, bitIndex0)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15827, 1953, 15208])).
% 34.09/22.73 tff(15829,plain,
% 34.09/22.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15830,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15831,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15830, 15829])).
% 34.09/22.73 tff(15832,plain,
% 34.09/22.73 ((~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15831, 855, 15216])).
% 34.09/22.73 tff(15833,plain,
% 34.09/22.73 (v127(constB105, bitIndex0)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15832, 15828])).
% 34.09/22.73 tff(15834,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15835,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15836,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15835, 15834])).
% 34.09/22.73 tff(15837,plain,
% 34.09/22.73 ((~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15836, 870, 15224])).
% 34.09/22.73 tff(15838,plain,
% 34.09/22.73 (v129(constB106, bitIndex0)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15837, 15833])).
% 34.09/22.73 tff(15839,plain,
% 34.09/22.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15840,plain,
% 34.09/22.73 ((v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0))) <=> (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15841,plain,
% 34.09/22.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))))),
% 34.09/22.73 inference(monotonicity,[status(thm)],[15840])).
% 34.09/22.73 tff(15842,plain,
% 34.09/22.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 34.09/22.73 inference(transitivity,[status(thm)],[15841, 15839])).
% 34.09/22.73 tff(15843,plain,
% 34.09/22.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15844,plain,
% 34.09/22.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15843, 15842])).
% 34.09/22.73 tff(15845,plain,
% 34.09/22.73 (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0))),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15844, 885, 15755])).
% 34.09/22.73 tff(15846,plain,
% 34.09/22.73 (v90(constB106, bitIndex0)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15845, 15838])).
% 34.09/22.73 tff(15847,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15848,plain,
% 34.09/22.73 (((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)) <=> ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15849,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0)))),
% 34.09/22.73 inference(monotonicity,[status(thm)],[15848])).
% 34.09/22.73 tff(15850,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 34.09/22.73 inference(transitivity,[status(thm)],[15849, 15847])).
% 34.09/22.73 tff(15851,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15852,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0)),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15851, 15850])).
% 34.09/22.73 tff(15853,plain,
% 34.09/22.73 ((~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15852, 903, 15769])).
% 34.09/22.73 tff(15854,plain,
% 34.09/22.73 ((~v90(constB106, bitIndex0)) | v90(constB107, bitIndex0)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15853, 15781])).
% 34.09/22.73 tff(15855,plain,
% 34.09/22.73 (v90(constB107, bitIndex0)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15854, 15846])).
% 34.09/22.73 tff(15856,plain,
% 34.09/22.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15857,plain,
% 34.09/22.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15858,plain,
% 34.09/22.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107)),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15857, 15856])).
% 34.09/22.73 tff(15859,plain,
% 34.09/22.73 (v124(constB107)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15858, 1994, 15855, 15824, 15790])).
% 34.09/22.73 tff(15860,plain,
% 34.09/22.73 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB107)) | v130(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB107)) | v130(constB107, bitIndex1))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15861,plain,
% 34.09/22.73 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB107)) | v130(constB107, bitIndex1))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15862,plain,
% 34.09/22.73 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB107)) | v130(constB107, bitIndex1)),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15861, 15860])).
% 34.09/22.73 tff(15863,plain,
% 34.09/22.73 (v130(constB107, bitIndex1)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15862, 2145, 15859])).
% 34.09/22.73 tff(15864,assumption,(v26(constB107)), introduced(assumption)).
% 34.09/22.73 tff(15865,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB107))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15866,plain,
% 34.09/22.73 ($false),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15865, 120, 15864])).
% 34.09/22.73 tff(15867,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 34.09/22.73 tff(15868,plain,
% 34.09/22.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15869,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15870,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15869, 15868])).
% 34.09/22.73 tff(15871,plain,
% 34.09/22.73 ((~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15870, 1101, 15867])).
% 34.09/22.73 tff(15872,plain,
% 34.09/22.73 (v127(constB107, bitIndex1)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15871, 15863])).
% 34.09/22.73 tff(15873,plain,
% 34.09/22.73 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15874,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 34.09/22.73 tff(15875,plain,
% 34.09/22.73 (nextState(constB107, constB108)),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15874, 15873])).
% 34.09/22.73 tff(15876,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15877,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15878,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15877, 15876])).
% 34.09/22.73 tff(15879,plain,
% 34.09/22.73 ((~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15878, 1116, 15875])).
% 34.09/22.73 tff(15880,plain,
% 34.09/22.73 (v129(constB108, bitIndex1)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15879, 15872])).
% 34.09/22.73 tff(15881,plain,
% 34.09/22.73 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB105, bitIndex0) | (~v124(constB105)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB105, bitIndex0) | (~v124(constB105)))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15882,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB105, bitIndex0) | (~v124(constB105)))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15883,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB105, bitIndex0) | (~v124(constB105))),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15882, 15881])).
% 34.09/22.73 tff(15884,plain,
% 34.09/22.73 (~v124(constB105)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15883, 12932, 15203])).
% 34.09/22.73 tff(15885,assumption,(~v100(constB108)), introduced(assumption)).
% 34.09/22.73 tff(15886,assumption,(~v90(constB108, bitIndex0)), introduced(assumption)).
% 34.09/22.73 tff(15887,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15888,plain,
% 34.09/22.73 (((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex0)) | v100(constB108) | v90(constB108, bitIndex0)) <=> ((~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15889,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex0)) | v100(constB108) | v90(constB108, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0)))),
% 34.09/22.73 inference(monotonicity,[status(thm)],[15888])).
% 34.09/22.73 tff(15890,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex0)) | v100(constB108) | v90(constB108, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0))),
% 34.09/22.73 inference(transitivity,[status(thm)],[15889, 15887])).
% 34.09/22.73 tff(15891,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex0)) | v100(constB108) | v90(constB108, bitIndex0))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15892,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0)),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15891, 15890])).
% 34.09/22.73 tff(15893,plain,
% 34.09/22.73 ((~v90(constB107, bitIndex0)) | v100(constB108) | v90(constB108, bitIndex0)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15892, 903, 15875])).
% 34.09/22.73 tff(15894,plain,
% 34.09/22.73 (~v90(constB107, bitIndex0)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15893, 15886, 15885])).
% 34.09/22.73 tff(15895,plain,
% 34.09/22.73 ((~v1(constB109)) <=> (~v1(constB109))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15896,axiom,(~v1(constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 34.09/22.73 tff(15897,plain,
% 34.09/22.73 (~v1(constB109)),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15896, 15895])).
% 34.09/22.73 tff(15898,plain,
% 34.09/22.73 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15899,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 34.09/22.73 tff(15900,plain,
% 34.09/22.73 (nextState(constB108, constB109)),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15899, 15898])).
% 34.09/22.73 tff(15901,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15902,plain,
% 34.09/22.73 (((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15903,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))))),
% 34.09/22.73 inference(monotonicity,[status(thm)],[15902])).
% 34.09/22.73 tff(15904,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 34.09/22.73 inference(transitivity,[status(thm)],[15903, 15901])).
% 34.09/22.73 tff(15905,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15906,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15905, 15904])).
% 34.09/22.73 tff(15907,plain,
% 34.09/22.73 (~v101(constB109)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15906, 381, 15900, 15897])).
% 34.09/22.73 tff(15908,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15909,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15910,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109))),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15909, 15908])).
% 34.09/22.73 tff(15911,plain,
% 34.09/22.73 (v101(constB109) | (~v100(constB109))),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15910, 398, 15900])).
% 34.09/22.73 tff(15912,plain,
% 34.09/22.73 (~v100(constB109)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15911, 15907])).
% 34.09/22.73 tff(15913,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15914,plain,
% 34.09/22.73 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))) <=> (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15915,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0))))),
% 34.09/22.73 inference(monotonicity,[status(thm)],[15914])).
% 34.09/22.73 tff(15916,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 34.09/22.73 inference(transitivity,[status(thm)],[15915, 15913])).
% 34.09/22.73 tff(15917,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15918,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15917, 15916])).
% 34.09/22.73 tff(15919,plain,
% 34.09/22.73 (v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15918, 455, 15900])).
% 34.09/22.73 tff(15920,plain,
% 34.09/22.73 (v90(constB108, bitIndex0) | (~v90(constB109, bitIndex0))),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15919, 15912])).
% 34.09/22.73 tff(15921,plain,
% 34.09/22.73 (~v90(constB109, bitIndex0)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15920, 15886])).
% 34.09/22.73 tff(15922,assumption,(~v90(constB109, bitIndex1)), introduced(assumption)).
% 34.09/22.73 tff(15923,assumption,(~v90(constB109, bitIndex0)), introduced(assumption)).
% 34.09/22.73 tff(15924,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex0))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15925,plain,
% 34.09/22.73 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex0)) | v100(constB109) | v90(constB109, bitIndex0)) <=> ((~v90(constB108, bitIndex0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex0))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15926,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex0)) | v100(constB109) | v90(constB109, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex0)))),
% 34.09/22.73 inference(monotonicity,[status(thm)],[15925])).
% 34.09/22.73 tff(15927,plain,
% 34.09/22.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex0)) | v100(constB109) | v90(constB109, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex0))),
% 34.09/22.73 inference(transitivity,[status(thm)],[15926, 15924])).
% 34.09/22.73 tff(15928,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex0)) | v100(constB109) | v90(constB109, bitIndex0))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15929,plain,
% 34.09/22.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex0)),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15928, 15927])).
% 34.09/22.73 tff(15930,plain,
% 34.09/22.73 ((~v90(constB108, bitIndex0)) | v100(constB109) | v90(constB109, bitIndex0)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15929, 903, 15900])).
% 34.09/22.73 tff(15931,plain,
% 34.09/22.73 ((~v90(constB108, bitIndex0)) | v90(constB109, bitIndex0)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15930, 15912])).
% 34.09/22.73 tff(15932,plain,
% 34.09/22.73 (~v90(constB108, bitIndex0)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15931, 15923])).
% 34.09/22.73 tff(15933,plain,
% 34.09/22.73 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB109, bitIndex0) | (~v124(constB109)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB109, bitIndex0) | (~v124(constB109)))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15934,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB109, bitIndex0) | (~v124(constB109)))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15935,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB109, bitIndex0) | (~v124(constB109))),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15934, 15933])).
% 34.09/22.73 tff(15936,plain,
% 34.09/22.73 (~v124(constB109)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15935, 12932, 15923])).
% 34.09/22.73 tff(15937,assumption,(~v90(constB109, bitIndex2)), introduced(assumption)).
% 34.09/22.73 tff(15938,plain,
% 34.09/22.73 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB109, bitIndex2) | (~v123(constB109)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB109, bitIndex2) | (~v123(constB109)))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15939,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB109, bitIndex2) | (~v123(constB109)))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15940,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB109, bitIndex2) | (~v123(constB109))),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15939, 15938])).
% 34.09/22.73 tff(15941,plain,
% 34.09/22.73 (~v123(constB109)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15940, 4557, 15937])).
% 34.09/22.73 tff(15942,plain,
% 34.09/22.73 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB109, bitIndex0) | (~v120(constB109)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB109, bitIndex0) | (~v120(constB109)))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15943,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB109, bitIndex0) | (~v120(constB109)))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15944,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB109, bitIndex0) | (~v120(constB109))),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15943, 15942])).
% 34.09/22.73 tff(15945,plain,
% 34.09/22.73 (~v120(constB109)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15944, 12917, 15923])).
% 34.09/22.73 tff(15946,plain,
% 34.09/22.73 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB109) | v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB109) | v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15947,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB109) | v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15948,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB109) | v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2)),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15947, 15946])).
% 34.09/22.73 tff(15949,plain,
% 34.09/22.73 (v119(constB109) | v90(constB109, bitIndex0) | v90(constB109, bitIndex2)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15948, 476, 15922])).
% 34.09/22.73 tff(15950,plain,
% 34.09/22.73 (v119(constB109)),
% 34.09/22.73 inference(unit_resolution,[status(thm)],[15949, 15937, 15923])).
% 34.09/22.73 tff(15951,plain,
% 34.09/22.73 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB109) | (~v119(constB109)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB109) | (~v119(constB109)))),
% 34.09/22.73 inference(rewrite,[status(thm)],[])).
% 34.09/22.73 tff(15952,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB109) | (~v119(constB109)))),
% 34.09/22.73 inference(quant_inst,[status(thm)],[])).
% 34.09/22.73 tff(15953,plain,
% 34.09/22.73 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB109) | (~v119(constB109))),
% 34.09/22.73 inference(modus_ponens,[status(thm)],[15952, 15951])).
% 34.09/22.74 tff(15954,plain,
% 34.09/22.74 (v118(constB109)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15953, 487, 15950])).
% 34.09/22.74 tff(15955,plain,
% 34.09/22.74 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB109) | (~v118(constB109)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB109) | (~v118(constB109)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(15956,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB109) | (~v118(constB109)))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(15957,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB109) | (~v118(constB109))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[15956, 15955])).
% 34.09/22.74 tff(15958,plain,
% 34.09/22.74 (v117(constB109)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15957, 498, 15954])).
% 34.09/22.74 tff(15959,plain,
% 34.09/22.74 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB109) | (~v117(constB109)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB109) | (~v117(constB109)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(15960,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB109) | (~v117(constB109)))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(15961,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB109) | (~v117(constB109))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[15960, 15959])).
% 34.09/22.74 tff(15962,plain,
% 34.09/22.74 (v116(constB109)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15961, 509, 15958])).
% 34.09/22.74 tff(15963,plain,
% 34.09/22.74 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB109) | (~v116(constB109)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB109) | (~v116(constB109)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(15964,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB109) | (~v116(constB109)))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(15965,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB109) | (~v116(constB109))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[15964, 15963])).
% 34.09/22.74 tff(15966,plain,
% 34.09/22.74 (v115(constB109)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15965, 520, 15962])).
% 34.09/22.74 tff(15967,plain,
% 34.09/22.74 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB109) | (~v115(constB109)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB109) | (~v115(constB109)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(15968,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB109) | (~v115(constB109)))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(15969,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB109) | (~v115(constB109))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[15968, 15967])).
% 34.09/22.74 tff(15970,plain,
% 34.09/22.74 (v114(constB109)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15969, 531, 15966])).
% 34.09/22.74 tff(15971,plain,
% 34.09/22.74 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB109) | (~v114(constB109)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB109) | (~v114(constB109)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(15972,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB109) | (~v114(constB109)))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(15973,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB109) | (~v114(constB109))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[15972, 15971])).
% 34.09/22.74 tff(15974,plain,
% 34.09/22.74 (v113(constB109)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15973, 542, 15970])).
% 34.09/22.74 tff(15975,plain,
% 34.09/22.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(15976,plain,
% 34.09/22.74 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)) <=> ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(15977,plain,
% 34.09/22.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1)))),
% 34.09/22.74 inference(monotonicity,[status(thm)],[15976])).
% 34.09/22.74 tff(15978,plain,
% 34.09/22.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 34.09/22.74 inference(transitivity,[status(thm)],[15977, 15975])).
% 34.09/22.74 tff(15979,plain,
% 34.09/22.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(15980,plain,
% 34.09/22.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1)),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[15979, 15978])).
% 34.09/22.74 tff(15981,plain,
% 34.09/22.74 ((~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15980, 1149, 15900])).
% 34.09/22.74 tff(15982,plain,
% 34.09/22.74 ((~v90(constB108, bitIndex1)) | v90(constB109, bitIndex1)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15981, 15912])).
% 34.09/22.74 tff(15983,plain,
% 34.09/22.74 (~v90(constB108, bitIndex1)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15982, 15922])).
% 34.09/22.74 tff(15984,plain,
% 34.09/22.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(15985,plain,
% 34.09/22.74 (((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex1)) | v100(constB108) | v90(constB108, bitIndex1)) <=> ((~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(15986,plain,
% 34.09/22.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex1)) | v100(constB108) | v90(constB108, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1)))),
% 34.09/22.74 inference(monotonicity,[status(thm)],[15985])).
% 34.09/22.74 tff(15987,plain,
% 34.09/22.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex1)) | v100(constB108) | v90(constB108, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1))),
% 34.09/22.74 inference(transitivity,[status(thm)],[15986, 15984])).
% 34.09/22.74 tff(15988,plain,
% 34.09/22.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex1)) | v100(constB108) | v90(constB108, bitIndex1))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(15989,plain,
% 34.09/22.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1)),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[15988, 15987])).
% 34.09/22.74 tff(15990,plain,
% 34.09/22.74 ((~v90(constB107, bitIndex1)) | v100(constB108) | v90(constB108, bitIndex1)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15989, 1149, 15875])).
% 34.09/22.74 tff(15991,plain,
% 34.09/22.74 (~v90(constB107, bitIndex1)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15990, 15885, 15983])).
% 34.09/22.74 tff(15992,plain,
% 34.09/22.74 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v122(VarCurr))) <=> (v90(VarCurr, bitIndex1) | (~v122(VarCurr))))),
% 34.09/22.74 inference(bind,[status(th)],[])).
% 34.09/22.74 tff(15993,plain,
% 34.09/22.74 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 34.09/22.74 inference(quant_intro,[status(thm)],[15992])).
% 34.09/22.74 tff(15994,plain,
% 34.09/22.74 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(15995,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 34.09/22.74 tff(15996,plain,
% 34.09/22.74 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[15995, 15994])).
% 34.09/22.74 tff(15997,plain,(
% 34.09/22.74 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 34.09/22.74 inference(skolemize,[status(sab)],[15996])).
% 34.09/22.74 tff(15998,plain,
% 34.09/22.74 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[15997, 15993])).
% 34.09/22.74 tff(15999,plain,
% 34.09/22.74 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB107, bitIndex1) | (~v122(constB107)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB107, bitIndex1) | (~v122(constB107)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16000,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB107, bitIndex1) | (~v122(constB107)))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(16001,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB107, bitIndex1) | (~v122(constB107))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16000, 15999])).
% 34.09/22.74 tff(16002,plain,
% 34.09/22.74 (~v122(constB107)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16001, 15998, 15991])).
% 34.09/22.74 tff(16003,assumption,(~v124(constB109)), introduced(assumption)).
% 34.09/22.74 tff(16004,assumption,(~v123(constB109)), introduced(assumption)).
% 34.09/22.74 tff(16005,plain,
% 34.09/22.74 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB109, bitIndex1) | (~v122(constB109)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB109, bitIndex1) | (~v122(constB109)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16006,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB109, bitIndex1) | (~v122(constB109)))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(16007,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB109, bitIndex1) | (~v122(constB109))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16006, 16005])).
% 34.09/22.74 tff(16008,plain,
% 34.09/22.74 (~v122(constB109)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16007, 15998, 15922])).
% 34.09/22.74 tff(16009,plain,
% 34.09/22.74 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB109, bitIndex1) | (~v121(constB109)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB109, bitIndex1) | (~v121(constB109)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16010,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB109, bitIndex1) | (~v121(constB109)))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(16011,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB109, bitIndex1) | (~v121(constB109))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16010, 16009])).
% 34.09/22.74 tff(16012,plain,
% 34.09/22.74 (~v121(constB109)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16011, 4535, 15922])).
% 34.09/22.74 tff(16013,assumption,(~v120(constB109)), introduced(assumption)).
% 34.09/22.74 tff(16014,plain,
% 34.09/22.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex1))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16015,plain,
% 34.09/22.74 (((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex1)) | v100(constB107) | v90(constB107, bitIndex1)) <=> ((~v90(constB106, bitIndex1)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex1))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16016,plain,
% 34.09/22.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex1)) | v100(constB107) | v90(constB107, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex1)))),
% 34.09/22.74 inference(monotonicity,[status(thm)],[16015])).
% 34.09/22.74 tff(16017,plain,
% 34.09/22.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex1)) | v100(constB107) | v90(constB107, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex1))),
% 34.09/22.74 inference(transitivity,[status(thm)],[16016, 16014])).
% 34.09/22.74 tff(16018,plain,
% 34.09/22.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex1)) | v100(constB107) | v90(constB107, bitIndex1))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(16019,plain,
% 34.09/22.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex1)),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16018, 16017])).
% 34.09/22.74 tff(16020,plain,
% 34.09/22.74 ((~v90(constB106, bitIndex1)) | v100(constB107) | v90(constB107, bitIndex1)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16019, 1149, 15769])).
% 34.09/22.74 tff(16021,plain,
% 34.09/22.74 ((~v90(constB106, bitIndex1)) | v90(constB107, bitIndex1)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16020, 15781])).
% 34.09/22.74 tff(16022,plain,
% 34.09/22.74 (~v90(constB106, bitIndex1)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16021, 15991])).
% 34.09/22.74 tff(16023,plain,
% 34.09/22.74 (v100(constB106)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15362, 16022])).
% 34.09/22.74 tff(16024,plain,
% 34.09/22.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~v129(constB106, bitIndex1)) | (~v100(constB106)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~v129(constB106, bitIndex1)) | (~v100(constB106)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16025,plain,
% 34.09/22.74 ((v90(constB106, bitIndex1) | (~v100(constB106)) | (~v129(constB106, bitIndex1))) <=> (v90(constB106, bitIndex1) | (~v129(constB106, bitIndex1)) | (~v100(constB106)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16026,plain,
% 34.09/22.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~v100(constB106)) | (~v129(constB106, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~v129(constB106, bitIndex1)) | (~v100(constB106))))),
% 34.09/22.74 inference(monotonicity,[status(thm)],[16025])).
% 34.09/22.74 tff(16027,plain,
% 34.09/22.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~v100(constB106)) | (~v129(constB106, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~v129(constB106, bitIndex1)) | (~v100(constB106)))),
% 34.09/22.74 inference(transitivity,[status(thm)],[16026, 16024])).
% 34.09/22.74 tff(16028,plain,
% 34.09/22.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~v100(constB106)) | (~v129(constB106, bitIndex1)))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(16029,plain,
% 34.09/22.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~v129(constB106, bitIndex1)) | (~v100(constB106))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16028, 16027])).
% 34.09/22.74 tff(16030,plain,
% 34.09/22.74 (~v129(constB106, bitIndex1)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16029, 1131, 16023, 16022])).
% 34.09/22.74 tff(16031,plain,
% 34.09/22.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex1)) | v129(constB106, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex1)) | v129(constB106, bitIndex1))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16032,plain,
% 34.09/22.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex1)) | v129(constB106, bitIndex1))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(16033,plain,
% 34.09/22.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex1)) | v129(constB106, bitIndex1)),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16032, 16031])).
% 34.09/22.74 tff(16034,plain,
% 34.09/22.74 ((~v127(constB105, bitIndex1)) | v129(constB106, bitIndex1)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16033, 1116, 15224])).
% 34.09/22.74 tff(16035,plain,
% 34.09/22.74 (~v127(constB105, bitIndex1)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16034, 16030])).
% 34.09/22.74 tff(16036,plain,
% 34.09/22.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB105) | (~v130(constB105, bitIndex1)) | v127(constB105, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB105) | (~v130(constB105, bitIndex1)) | v127(constB105, bitIndex1))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16037,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB105) | (~v130(constB105, bitIndex1)) | v127(constB105, bitIndex1))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(16038,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB105) | (~v130(constB105, bitIndex1)) | v127(constB105, bitIndex1)),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16037, 16036])).
% 34.09/22.74 tff(16039,plain,
% 34.09/22.74 ((~v130(constB105, bitIndex1)) | v127(constB105, bitIndex1)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16038, 1101, 15216])).
% 34.09/22.74 tff(16040,plain,
% 34.09/22.74 (~v130(constB105, bitIndex1)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16039, 16035])).
% 34.09/22.74 tff(16041,plain,
% 34.09/22.74 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB105)) | v130(constB105, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB105)) | v130(constB105, bitIndex1))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16042,plain,
% 34.09/22.74 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB105)) | v130(constB105, bitIndex1))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(16043,plain,
% 34.09/22.74 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB105)) | v130(constB105, bitIndex1)),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16042, 16041])).
% 34.09/22.74 tff(16044,plain,
% 34.09/22.74 (~v120(constB105)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16043, 1087, 16040])).
% 34.09/22.74 tff(16045,plain,
% 34.09/22.74 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB107, bitIndex1) | (~v121(constB107)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB107, bitIndex1) | (~v121(constB107)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16046,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB107, bitIndex1) | (~v121(constB107)))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(16047,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB107, bitIndex1) | (~v121(constB107))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16046, 16045])).
% 34.09/22.74 tff(16048,plain,
% 34.09/22.74 (~v121(constB107)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16047, 4535, 15991])).
% 34.09/22.74 tff(16049,assumption,(v113(constB109)), introduced(assumption)).
% 34.09/22.74 tff(16050,plain,
% 34.09/22.74 (~v90(constB107, bitIndex0)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15893, 15885, 15886])).
% 34.09/22.74 tff(16051,plain,
% 34.09/22.74 (~v90(constB106, bitIndex0)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15854, 16050])).
% 34.09/22.74 tff(16052,plain,
% 34.09/22.74 (~v129(constB106, bitIndex0)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15844, 885, 16023, 16051])).
% 34.09/22.74 tff(16053,plain,
% 34.09/22.74 (~v127(constB105, bitIndex0)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15837, 16052])).
% 34.09/22.74 tff(16054,plain,
% 34.09/22.74 (~v130(constB105, bitIndex0)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[15832, 16053])).
% 34.09/22.74 tff(16055,plain,
% 34.09/22.74 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB105)) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB105)) | v130(constB105, bitIndex0))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16056,plain,
% 34.09/22.74 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB105)) | v130(constB105, bitIndex0))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(16057,plain,
% 34.09/22.74 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB105)) | v130(constB105, bitIndex0)),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16056, 16055])).
% 34.09/22.74 tff(16058,plain,
% 34.09/22.74 (~v121(constB105)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16057, 1445, 16054])).
% 34.09/22.74 tff(16059,plain,
% 34.09/22.74 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB105)) | v130(constB105, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB105)) | v130(constB105, bitIndex1))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16060,plain,
% 34.09/22.74 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB105)) | v130(constB105, bitIndex1))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(16061,plain,
% 34.09/22.74 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB105)) | v130(constB105, bitIndex1)),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16060, 16059])).
% 34.09/22.74 tff(16062,plain,
% 34.09/22.74 (~v124(constB105)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16061, 2145, 16040])).
% 34.09/22.74 tff(16063,plain,
% 34.09/22.74 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v125(VarCurr))) <=> (v90(VarCurr, bitIndex1) | (~v125(VarCurr))))),
% 34.09/22.74 inference(bind,[status(th)],[])).
% 34.09/22.74 tff(16064,plain,
% 34.09/22.74 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 34.09/22.74 inference(quant_intro,[status(thm)],[16063])).
% 34.09/22.74 tff(16065,plain,
% 34.09/22.74 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16066,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_3')).
% 34.09/22.74 tff(16067,plain,
% 34.09/22.74 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16066, 16065])).
% 34.09/22.74 tff(16068,plain,(
% 34.09/22.74 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 34.09/22.74 inference(skolemize,[status(sab)],[16067])).
% 34.09/22.74 tff(16069,plain,
% 34.09/22.74 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16068, 16064])).
% 34.09/22.74 tff(16070,plain,
% 34.09/22.74 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | (v90(constB109, bitIndex1) | (~v125(constB109)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | v90(constB109, bitIndex1) | (~v125(constB109)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16071,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | (v90(constB109, bitIndex1) | (~v125(constB109)))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(16072,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | v90(constB109, bitIndex1) | (~v125(constB109))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16071, 16070])).
% 34.09/22.74 tff(16073,plain,
% 34.09/22.74 (~v125(constB109)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16072, 16069, 15922])).
% 34.09/22.74 tff(16074,plain,
% 34.09/22.74 (^[VarCurr: $i] : refl((v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))))),
% 34.09/22.74 inference(bind,[status(th)],[])).
% 34.09/22.74 tff(16075,plain,
% 34.09/22.74 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 34.09/22.74 inference(quant_intro,[status(thm)],[16074])).
% 34.09/22.74 tff(16076,plain,
% 34.09/22.74 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16077,plain,
% 34.09/22.74 (^[VarCurr: $i] : trans(monotonicity(rewrite((v125(VarCurr) | v114(VarCurr)) <=> (v114(VarCurr) | v125(VarCurr))), (((v125(VarCurr) | v114(VarCurr)) | (~v113(VarCurr))) <=> ((v114(VarCurr) | v125(VarCurr)) | (~v113(VarCurr))))), rewrite(((v114(VarCurr) | v125(VarCurr)) | (~v113(VarCurr))) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))), (((v125(VarCurr) | v114(VarCurr)) | (~v113(VarCurr))) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))))),
% 34.09/22.74 inference(bind,[status(th)],[])).
% 34.09/22.74 tff(16078,plain,
% 34.09/22.74 (![VarCurr: $i] : ((v125(VarCurr) | v114(VarCurr)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 34.09/22.74 inference(quant_intro,[status(thm)],[16077])).
% 34.09/22.74 tff(16079,axiom,(![VarCurr: $i] : ((v125(VarCurr) | v114(VarCurr)) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_3')).
% 34.09/22.74 tff(16080,plain,
% 34.09/22.74 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16079, 16078])).
% 34.09/22.74 tff(16081,plain,
% 34.09/22.74 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16080, 16076])).
% 34.09/22.74 tff(16082,plain,(
% 34.09/22.74 ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 34.09/22.74 inference(skolemize,[status(sab)],[16081])).
% 34.09/22.74 tff(16083,plain,
% 34.09/22.74 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16082, 16075])).
% 34.09/22.74 tff(16084,plain,
% 34.09/22.74 (((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB109) | v125(constB109) | (~v113(constB109)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB109) | v125(constB109) | (~v113(constB109)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16085,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB109) | v125(constB109) | (~v113(constB109)))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(16086,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB109) | v125(constB109) | (~v113(constB109))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16085, 16084])).
% 34.09/22.74 tff(16087,plain,
% 34.09/22.74 (v114(constB109) | v125(constB109)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16086, 16083, 16049])).
% 34.09/22.74 tff(16088,plain,
% 34.09/22.74 (v114(constB109)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16087, 16073])).
% 34.09/22.74 tff(16089,plain,
% 34.09/22.74 (^[VarCurr: $i] : refl((v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))))),
% 34.09/22.74 inference(bind,[status(th)],[])).
% 34.09/22.74 tff(16090,plain,
% 34.09/22.74 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 34.09/22.74 inference(quant_intro,[status(thm)],[16089])).
% 34.09/22.74 tff(16091,plain,
% 34.09/22.74 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16092,plain,
% 34.09/22.74 (^[VarCurr: $i] : trans(monotonicity(rewrite((v124(VarCurr) | v115(VarCurr)) <=> (v115(VarCurr) | v124(VarCurr))), (((v124(VarCurr) | v115(VarCurr)) | (~v114(VarCurr))) <=> ((v115(VarCurr) | v124(VarCurr)) | (~v114(VarCurr))))), rewrite(((v115(VarCurr) | v124(VarCurr)) | (~v114(VarCurr))) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))), (((v124(VarCurr) | v115(VarCurr)) | (~v114(VarCurr))) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))))),
% 34.09/22.74 inference(bind,[status(th)],[])).
% 34.09/22.74 tff(16093,plain,
% 34.09/22.74 (![VarCurr: $i] : ((v124(VarCurr) | v115(VarCurr)) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 34.09/22.74 inference(quant_intro,[status(thm)],[16092])).
% 34.09/22.74 tff(16094,axiom,(![VarCurr: $i] : ((v124(VarCurr) | v115(VarCurr)) | (~v114(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_3')).
% 34.09/22.74 tff(16095,plain,
% 34.09/22.74 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16094, 16093])).
% 34.09/22.74 tff(16096,plain,
% 34.09/22.74 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16095, 16091])).
% 34.09/22.74 tff(16097,plain,(
% 34.09/22.74 ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 34.09/22.74 inference(skolemize,[status(sab)],[16096])).
% 34.09/22.74 tff(16098,plain,
% 34.09/22.74 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16097, 16090])).
% 34.09/22.74 tff(16099,plain,
% 34.09/22.74 (((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB109) | v124(constB109) | (~v114(constB109)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB109) | v124(constB109) | (~v114(constB109)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16100,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB109) | v124(constB109) | (~v114(constB109)))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(16101,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB109) | v124(constB109) | (~v114(constB109))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16100, 16099])).
% 34.09/22.74 tff(16102,plain,
% 34.09/22.74 (v115(constB109) | (~v114(constB109))),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16101, 16098, 16003])).
% 34.09/22.74 tff(16103,plain,
% 34.09/22.74 (v115(constB109)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16102, 16088])).
% 34.09/22.74 tff(16104,plain,
% 34.09/22.74 (^[VarCurr: $i] : refl((v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))))),
% 34.09/22.74 inference(bind,[status(th)],[])).
% 34.09/22.74 tff(16105,plain,
% 34.09/22.74 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 34.09/22.74 inference(quant_intro,[status(thm)],[16104])).
% 34.09/22.74 tff(16106,plain,
% 34.09/22.74 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16107,plain,
% 34.09/22.74 (^[VarCurr: $i] : trans(monotonicity(rewrite((v123(VarCurr) | v116(VarCurr)) <=> (v116(VarCurr) | v123(VarCurr))), (((v123(VarCurr) | v116(VarCurr)) | (~v115(VarCurr))) <=> ((v116(VarCurr) | v123(VarCurr)) | (~v115(VarCurr))))), rewrite(((v116(VarCurr) | v123(VarCurr)) | (~v115(VarCurr))) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))), (((v123(VarCurr) | v116(VarCurr)) | (~v115(VarCurr))) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))))),
% 34.09/22.74 inference(bind,[status(th)],[])).
% 34.09/22.74 tff(16108,plain,
% 34.09/22.74 (![VarCurr: $i] : ((v123(VarCurr) | v116(VarCurr)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 34.09/22.74 inference(quant_intro,[status(thm)],[16107])).
% 34.09/22.74 tff(16109,axiom,(![VarCurr: $i] : ((v123(VarCurr) | v116(VarCurr)) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_3')).
% 34.09/22.74 tff(16110,plain,
% 34.09/22.74 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16109, 16108])).
% 34.09/22.74 tff(16111,plain,
% 34.09/22.74 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16110, 16106])).
% 34.09/22.74 tff(16112,plain,(
% 34.09/22.74 ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 34.09/22.74 inference(skolemize,[status(sab)],[16111])).
% 34.09/22.74 tff(16113,plain,
% 34.09/22.74 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16112, 16105])).
% 34.09/22.74 tff(16114,plain,
% 34.09/22.74 (((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB109) | v123(constB109) | (~v115(constB109)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB109) | v123(constB109) | (~v115(constB109)))),
% 34.09/22.74 inference(rewrite,[status(thm)],[])).
% 34.09/22.74 tff(16115,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB109) | v123(constB109) | (~v115(constB109)))),
% 34.09/22.74 inference(quant_inst,[status(thm)],[])).
% 34.09/22.74 tff(16116,plain,
% 34.09/22.74 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB109) | v123(constB109) | (~v115(constB109))),
% 34.09/22.74 inference(modus_ponens,[status(thm)],[16115, 16114])).
% 34.09/22.74 tff(16117,plain,
% 34.09/22.74 (v116(constB109) | (~v115(constB109))),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16116, 16113, 16004])).
% 34.09/22.74 tff(16118,plain,
% 34.09/22.74 (v116(constB109)),
% 34.09/22.74 inference(unit_resolution,[status(thm)],[16117, 16103])).
% 34.09/22.74 tff(16119,assumption,(~v122(constB109)), introduced(assumption)).
% 34.09/22.74 tff(16120,plain,
% 34.09/22.74 (^[VarCurr: $i] : refl((v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))))),
% 34.09/22.75 inference(bind,[status(th)],[])).
% 34.09/22.75 tff(16121,plain,
% 34.09/22.75 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 34.09/22.75 inference(quant_intro,[status(thm)],[16120])).
% 34.09/22.75 tff(16122,plain,
% 34.09/22.75 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16123,plain,
% 34.09/22.75 (^[VarCurr: $i] : trans(monotonicity(rewrite((v122(VarCurr) | v117(VarCurr)) <=> (v117(VarCurr) | v122(VarCurr))), (((v122(VarCurr) | v117(VarCurr)) | (~v116(VarCurr))) <=> ((v117(VarCurr) | v122(VarCurr)) | (~v116(VarCurr))))), rewrite(((v117(VarCurr) | v122(VarCurr)) | (~v116(VarCurr))) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))), (((v122(VarCurr) | v117(VarCurr)) | (~v116(VarCurr))) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))))),
% 34.09/22.75 inference(bind,[status(th)],[])).
% 34.09/22.75 tff(16124,plain,
% 34.09/22.75 (![VarCurr: $i] : ((v122(VarCurr) | v117(VarCurr)) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 34.09/22.75 inference(quant_intro,[status(thm)],[16123])).
% 34.09/22.75 tff(16125,axiom,(![VarCurr: $i] : ((v122(VarCurr) | v117(VarCurr)) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_3')).
% 34.09/22.75 tff(16126,plain,
% 34.09/22.75 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16125, 16124])).
% 34.09/22.75 tff(16127,plain,
% 34.09/22.75 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16126, 16122])).
% 34.09/22.75 tff(16128,plain,(
% 34.09/22.75 ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 34.09/22.75 inference(skolemize,[status(sab)],[16127])).
% 34.09/22.75 tff(16129,plain,
% 34.09/22.75 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16128, 16121])).
% 34.09/22.75 tff(16130,plain,
% 34.09/22.75 (((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB109) | v122(constB109) | (~v116(constB109)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB109) | v122(constB109) | (~v116(constB109)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16131,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB109) | v122(constB109) | (~v116(constB109)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16132,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB109) | v122(constB109) | (~v116(constB109))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16131, 16130])).
% 34.09/22.75 tff(16133,plain,
% 34.09/22.75 (v117(constB109) | (~v116(constB109))),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16132, 16129, 16119])).
% 34.09/22.75 tff(16134,plain,
% 34.09/22.75 (v117(constB109)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16133, 16118])).
% 34.09/22.75 tff(16135,assumption,(~v121(constB109)), introduced(assumption)).
% 34.09/22.75 tff(16136,plain,
% 34.09/22.75 (^[VarCurr: $i] : refl((v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))))),
% 34.09/22.75 inference(bind,[status(th)],[])).
% 34.09/22.75 tff(16137,plain,
% 34.09/22.75 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 34.09/22.75 inference(quant_intro,[status(thm)],[16136])).
% 34.09/22.75 tff(16138,plain,
% 34.09/22.75 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16139,plain,
% 34.09/22.75 (^[VarCurr: $i] : trans(monotonicity(rewrite((v121(VarCurr) | v118(VarCurr)) <=> (v118(VarCurr) | v121(VarCurr))), (((v121(VarCurr) | v118(VarCurr)) | (~v117(VarCurr))) <=> ((v118(VarCurr) | v121(VarCurr)) | (~v117(VarCurr))))), rewrite(((v118(VarCurr) | v121(VarCurr)) | (~v117(VarCurr))) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))), (((v121(VarCurr) | v118(VarCurr)) | (~v117(VarCurr))) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))))),
% 34.09/22.75 inference(bind,[status(th)],[])).
% 34.09/22.75 tff(16140,plain,
% 34.09/22.75 (![VarCurr: $i] : ((v121(VarCurr) | v118(VarCurr)) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 34.09/22.75 inference(quant_intro,[status(thm)],[16139])).
% 34.09/22.75 tff(16141,axiom,(![VarCurr: $i] : ((v121(VarCurr) | v118(VarCurr)) | (~v117(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_3')).
% 34.09/22.75 tff(16142,plain,
% 34.09/22.75 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16141, 16140])).
% 34.09/22.75 tff(16143,plain,
% 34.09/22.75 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16142, 16138])).
% 34.09/22.75 tff(16144,plain,(
% 34.09/22.75 ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 34.09/22.75 inference(skolemize,[status(sab)],[16143])).
% 34.09/22.75 tff(16145,plain,
% 34.09/22.75 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16144, 16137])).
% 34.09/22.75 tff(16146,plain,
% 34.09/22.75 (((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB109) | v121(constB109) | (~v117(constB109)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB109) | v121(constB109) | (~v117(constB109)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16147,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB109) | v121(constB109) | (~v117(constB109)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16148,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB109) | v121(constB109) | (~v117(constB109))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16147, 16146])).
% 34.09/22.75 tff(16149,plain,
% 34.09/22.75 (v118(constB109) | (~v117(constB109))),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16148, 16145, 16135])).
% 34.09/22.75 tff(16150,plain,
% 34.09/22.75 (v118(constB109)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16149, 16134])).
% 34.09/22.75 tff(16151,plain,
% 34.09/22.75 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))) <=> (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))))),
% 34.09/22.75 inference(bind,[status(th)],[])).
% 34.09/22.75 tff(16152,plain,
% 34.09/22.75 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 34.09/22.75 inference(quant_intro,[status(thm)],[16151])).
% 34.09/22.75 tff(16153,plain,
% 34.09/22.75 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16154,plain,
% 34.09/22.75 (^[VarCurr: $i] : trans(monotonicity(rewrite((v120(VarCurr) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr))), (((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))) <=> ((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))))), rewrite(((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))) <=> (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))), (((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))) <=> (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))))),
% 34.09/22.75 inference(bind,[status(th)],[])).
% 34.09/22.75 tff(16155,plain,
% 34.09/22.75 (![VarCurr: $i] : ((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 34.09/22.75 inference(quant_intro,[status(thm)],[16154])).
% 34.09/22.75 tff(16156,axiom,(![VarCurr: $i] : ((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_3')).
% 34.09/22.75 tff(16157,plain,
% 34.09/22.75 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16156, 16155])).
% 34.09/22.75 tff(16158,plain,
% 34.09/22.75 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16157, 16153])).
% 34.09/22.75 tff(16159,plain,(
% 34.09/22.75 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 34.09/22.75 inference(skolemize,[status(sab)],[16158])).
% 34.09/22.75 tff(16160,plain,
% 34.09/22.75 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16159, 16152])).
% 34.09/22.75 tff(16161,plain,
% 34.09/22.75 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB109) | v119(constB109) | (~v118(constB109)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB109) | v119(constB109) | (~v118(constB109)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16162,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB109) | v119(constB109) | (~v118(constB109)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16163,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB109) | v119(constB109) | (~v118(constB109))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16162, 16161])).
% 34.09/22.75 tff(16164,plain,
% 34.09/22.75 (v119(constB109) | (~v118(constB109))),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16163, 16160, 16013])).
% 34.09/22.75 tff(16165,plain,
% 34.09/22.75 (v119(constB109)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16164, 16150])).
% 34.09/22.75 tff(16166,plain,
% 34.09/22.75 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))))),
% 34.09/22.75 inference(bind,[status(th)],[])).
% 34.09/22.75 tff(16167,plain,
% 34.09/22.75 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 34.09/22.75 inference(quant_intro,[status(thm)],[16166])).
% 34.09/22.75 tff(16168,plain,
% 34.09/22.75 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16169,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_4')).
% 34.09/22.75 tff(16170,plain,
% 34.09/22.75 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16169, 16168])).
% 34.09/22.75 tff(16171,plain,(
% 34.09/22.75 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 34.09/22.75 inference(skolemize,[status(sab)],[16170])).
% 34.09/22.75 tff(16172,plain,
% 34.09/22.75 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16171, 16167])).
% 34.09/22.75 tff(16173,plain,
% 34.09/22.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB109, bitIndex0)) | (~v119(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB109, bitIndex0)) | (~v119(constB109)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16174,plain,
% 34.09/22.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB109, bitIndex0)) | (~v119(constB109)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16175,plain,
% 34.09/22.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB109, bitIndex0)) | (~v119(constB109))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16174, 16173])).
% 34.09/22.75 tff(16176,plain,
% 34.09/22.75 (~v90(constB109, bitIndex0)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16175, 16172, 16165])).
% 34.09/22.75 tff(16177,plain,
% 34.09/22.75 (~v90(constB108, bitIndex0)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[15931, 16176])).
% 34.09/22.75 tff(16178,assumption,(v120(constB107)), introduced(assumption)).
% 34.09/22.75 tff(16179,plain,
% 34.09/22.75 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB107) | (~v120(constB107)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB107) | (~v120(constB107)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16180,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB107) | (~v120(constB107)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16181,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB107) | (~v120(constB107))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16180, 16179])).
% 34.09/22.75 tff(16182,plain,
% 34.09/22.75 (v118(constB107)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16181, 936, 16178])).
% 34.09/22.75 tff(16183,plain,
% 34.09/22.75 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB107) | (~v118(constB107)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB107) | (~v118(constB107)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16184,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB107) | (~v118(constB107)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16185,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB107) | (~v118(constB107))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16184, 16183])).
% 34.09/22.75 tff(16186,plain,
% 34.09/22.75 (v117(constB107)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16185, 498, 16182])).
% 34.09/22.75 tff(16187,plain,
% 34.09/22.75 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB107) | (~v117(constB107)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB107) | (~v117(constB107)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16188,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB107) | (~v117(constB107)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16189,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB107) | (~v117(constB107))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16188, 16187])).
% 34.09/22.75 tff(16190,plain,
% 34.09/22.75 (v116(constB107)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16189, 509, 16186])).
% 34.09/22.75 tff(16191,plain,
% 34.09/22.75 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB107) | (~v116(constB107)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB107) | (~v116(constB107)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16192,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB107) | (~v116(constB107)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16193,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB107) | (~v116(constB107))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16192, 16191])).
% 34.09/22.75 tff(16194,plain,
% 34.09/22.75 (v115(constB107)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16193, 520, 16190])).
% 34.09/22.75 tff(16195,plain,
% 34.09/22.75 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB107) | (~v115(constB107)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB107) | (~v115(constB107)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16196,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB107) | (~v115(constB107)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16197,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB107) | (~v115(constB107))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16196, 16195])).
% 34.09/22.75 tff(16198,plain,
% 34.09/22.75 (v114(constB107)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16197, 531, 16194])).
% 34.09/22.75 tff(16199,plain,
% 34.09/22.75 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB107) | (~v114(constB107)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB107) | (~v114(constB107)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16200,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB107) | (~v114(constB107)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16201,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB107) | (~v114(constB107))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16200, 16199])).
% 34.09/22.75 tff(16202,plain,
% 34.09/22.75 (v113(constB107)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16201, 542, 16198])).
% 34.09/22.75 tff(16203,plain,
% 34.09/22.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16204,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16205,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107)),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16204, 16203])).
% 34.09/22.75 tff(16206,plain,
% 34.09/22.75 ((~v113(constB107)) | v112(constB107)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16205, 556, 15867])).
% 34.09/22.75 tff(16207,plain,
% 34.09/22.75 (v112(constB107)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16206, 16202])).
% 34.09/22.75 tff(16208,plain,
% 34.09/22.75 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB107) | (~v112(constB107)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16209,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB107) | (~v112(constB107)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16210,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB107) | (~v112(constB107))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16209, 16208])).
% 34.09/22.75 tff(16211,plain,
% 34.09/22.75 (v108(constB107)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16210, 568, 16207])).
% 34.09/22.75 tff(16212,plain,
% 34.09/22.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16213,plain,
% 34.09/22.75 (((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108)) <=> ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16214,plain,
% 34.09/22.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))))),
% 34.09/22.75 inference(monotonicity,[status(thm)],[16213])).
% 34.09/22.75 tff(16215,plain,
% 34.09/22.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 34.09/22.75 inference(transitivity,[status(thm)],[16214, 16212])).
% 34.09/22.75 tff(16216,plain,
% 34.09/22.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16217,plain,
% 34.09/22.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16216, 16215])).
% 34.09/22.75 tff(16218,plain,
% 34.09/22.75 (v110(constB108) | (~v108(constB107))),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16217, 585, 15875])).
% 34.09/22.75 tff(16219,plain,
% 34.09/22.75 (v110(constB108)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16218, 16211])).
% 34.09/22.75 tff(16220,plain,
% 34.09/22.75 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16221,plain,
% 34.09/22.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16222,plain,
% 34.09/22.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16221, 16220])).
% 34.09/22.75 tff(16223,plain,
% 34.09/22.75 (~v104(constB108)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16222, 603, 15875, 15766])).
% 34.09/22.75 tff(16224,plain,
% 34.09/22.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16225,plain,
% 34.09/22.75 (((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108)) <=> ((~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16226,plain,
% 34.09/22.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | v102(constB108)))),
% 34.09/22.75 inference(monotonicity,[status(thm)],[16225])).
% 34.09/22.75 tff(16227,plain,
% 34.09/22.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))),
% 34.09/22.75 inference(transitivity,[status(thm)],[16226, 16224])).
% 34.09/22.75 tff(16228,plain,
% 34.09/22.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16229,plain,
% 34.09/22.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | v102(constB108)),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16228, 16227])).
% 34.09/22.75 tff(16230,plain,
% 34.09/22.75 (v104(constB108) | v102(constB108)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16229, 617, 15875])).
% 34.09/22.75 tff(16231,plain,
% 34.09/22.75 (v102(constB108)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16230, 16223])).
% 34.09/22.75 tff(16232,plain,
% 34.09/22.75 (v1(constB108) <=> v1(constB108)),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16233,axiom,(v1(constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 34.09/22.75 tff(16234,plain,
% 34.09/22.75 (v1(constB108)),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16233, 16232])).
% 34.09/22.75 tff(16235,plain,
% 34.09/22.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16236,plain,
% 34.09/22.75 (((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108))) <=> ((~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16237,plain,
% 34.09/22.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108))))),
% 34.09/22.75 inference(monotonicity,[status(thm)],[16236])).
% 34.09/22.75 tff(16238,plain,
% 34.09/22.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))),
% 34.09/22.75 inference(transitivity,[status(thm)],[16237, 16235])).
% 34.09/22.75 tff(16239,plain,
% 34.09/22.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16240,plain,
% 34.09/22.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16239, 16238])).
% 34.09/22.75 tff(16241,plain,
% 34.09/22.75 (v101(constB108) | (~v102(constB108))),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16240, 638, 15875, 16234])).
% 34.09/22.75 tff(16242,plain,
% 34.09/22.75 (v101(constB108)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16241, 16231])).
% 34.09/22.75 tff(16243,plain,
% 34.09/22.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16244,plain,
% 34.09/22.75 (((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108)) <=> ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16245,plain,
% 34.09/22.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))))),
% 34.09/22.75 inference(monotonicity,[status(thm)],[16244])).
% 34.09/22.75 tff(16246,plain,
% 34.09/22.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 34.09/22.75 inference(transitivity,[status(thm)],[16245, 16243])).
% 34.09/22.75 tff(16247,plain,
% 34.09/22.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16248,plain,
% 34.09/22.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16247, 16246])).
% 34.09/22.75 tff(16249,plain,
% 34.09/22.75 (v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16248, 656, 15875])).
% 34.09/22.75 tff(16250,plain,
% 34.09/22.75 (v100(constB108) | (~v110(constB108))),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16249, 16242])).
% 34.09/22.75 tff(16251,plain,
% 34.09/22.75 (v100(constB108)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16250, 16219])).
% 34.09/22.75 tff(16252,plain,
% 34.09/22.75 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB107)) | (~v130(constB107, bitIndex0)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16253,plain,
% 34.09/22.75 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex0)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16254,plain,
% 34.09/22.75 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB107)) | (~v130(constB107, bitIndex0))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16253, 16252])).
% 34.09/22.75 tff(16255,plain,
% 34.09/22.75 (~v130(constB107, bitIndex0)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16254, 1168, 16178])).
% 34.09/22.75 tff(16256,plain,
% 34.09/22.75 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16257,plain,
% 34.09/22.75 ((v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0))) <=> ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16258,plain,
% 34.09/22.75 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)))),
% 34.09/22.75 inference(monotonicity,[status(thm)],[16257])).
% 34.09/22.75 tff(16259,plain,
% 34.09/22.75 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 34.09/22.75 inference(transitivity,[status(thm)],[16258, 16256])).
% 34.09/22.75 tff(16260,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16261,plain,
% 34.09/22.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16260, 16259])).
% 34.09/22.75 tff(16262,plain,
% 34.09/22.75 ((~v127(constB107, bitIndex0)) | v130(constB107, bitIndex0)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16261, 1182, 15867])).
% 34.09/22.75 tff(16263,plain,
% 34.09/22.75 (~v127(constB107, bitIndex0)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16262, 16255])).
% 34.09/22.75 tff(16264,plain,
% 34.09/22.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16265,plain,
% 34.09/22.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16266,plain,
% 34.09/22.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16265, 16264])).
% 34.09/22.75 tff(16267,plain,
% 34.09/22.75 (v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16266, 1200, 15875])).
% 34.09/22.75 tff(16268,plain,
% 34.09/22.75 (~v129(constB108, bitIndex0)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16267, 16263])).
% 34.09/22.75 tff(16269,plain,
% 34.09/22.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16270,plain,
% 34.09/22.75 (((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0)) <=> ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16271,plain,
% 34.09/22.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))))),
% 34.09/22.75 inference(monotonicity,[status(thm)],[16270])).
% 34.09/22.75 tff(16272,plain,
% 34.09/22.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 34.09/22.75 inference(transitivity,[status(thm)],[16271, 16269])).
% 34.09/22.75 tff(16273,plain,
% 34.09/22.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16274,plain,
% 34.09/22.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16273, 16272])).
% 34.09/22.75 tff(16275,plain,
% 34.09/22.75 ((~v90(constB108, bitIndex0)) | (~v100(constB108))),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16274, 1215, 16268])).
% 34.09/22.75 tff(16276,plain,
% 34.09/22.75 (~v90(constB108, bitIndex0)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16275, 16251])).
% 34.09/22.75 tff(16277,plain,
% 34.09/22.75 (~v90(constB109, bitIndex0)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[15920, 16276])).
% 34.09/22.75 tff(16278,plain,
% 34.09/22.75 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB107)) | v130(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB107)) | v130(constB107, bitIndex1))),
% 34.09/22.75 inference(rewrite,[status(thm)],[])).
% 34.09/22.75 tff(16279,plain,
% 34.09/22.75 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB107)) | v130(constB107, bitIndex1))),
% 34.09/22.75 inference(quant_inst,[status(thm)],[])).
% 34.09/22.75 tff(16280,plain,
% 34.09/22.75 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB107)) | v130(constB107, bitIndex1)),
% 34.09/22.75 inference(modus_ponens,[status(thm)],[16279, 16278])).
% 34.09/22.75 tff(16281,plain,
% 34.09/22.75 (v130(constB107, bitIndex1)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[16280, 1087, 16178])).
% 34.09/22.75 tff(16282,plain,
% 34.09/22.75 (v127(constB107, bitIndex1)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[15871, 16281])).
% 34.09/22.75 tff(16283,plain,
% 34.09/22.75 (v129(constB108, bitIndex1)),
% 34.09/22.75 inference(unit_resolution,[status(thm)],[15879, 16282])).
% 34.09/22.75 tff(16284,plain,
% 34.09/22.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16285,plain,
% 34.09/22.76 ((v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1))) <=> (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16286,plain,
% 34.09/22.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))))),
% 34.09/22.76 inference(monotonicity,[status(thm)],[16285])).
% 34.09/22.76 tff(16287,plain,
% 34.09/22.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 34.09/22.76 inference(transitivity,[status(thm)],[16286, 16284])).
% 34.09/22.76 tff(16288,plain,
% 34.09/22.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))),
% 34.09/22.76 inference(quant_inst,[status(thm)],[])).
% 34.09/22.76 tff(16289,plain,
% 34.09/22.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))),
% 34.09/22.76 inference(modus_ponens,[status(thm)],[16288, 16287])).
% 34.09/22.76 tff(16290,plain,
% 34.09/22.76 (v90(constB108, bitIndex1) | (~v100(constB108))),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16289, 1131, 16283])).
% 34.09/22.76 tff(16291,plain,
% 34.09/22.76 (v90(constB108, bitIndex1)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16290, 16251])).
% 34.09/22.76 tff(16292,plain,
% 34.09/22.76 (v90(constB109, bitIndex1)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15982, 16291])).
% 34.09/22.76 tff(16293,plain,
% 34.09/22.76 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB107)) | (~v130(constB107, bitIndex2)))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16294,plain,
% 34.09/22.76 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex2)))),
% 34.09/22.76 inference(quant_inst,[status(thm)],[])).
% 34.09/22.76 tff(16295,plain,
% 34.09/22.76 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB107)) | (~v130(constB107, bitIndex2))),
% 34.09/22.76 inference(modus_ponens,[status(thm)],[16294, 16293])).
% 34.09/22.76 tff(16296,plain,
% 34.09/22.76 (~v130(constB107, bitIndex2)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16295, 1025, 16178])).
% 34.09/22.76 tff(16297,plain,
% 34.09/22.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16298,plain,
% 34.09/22.76 ((v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2))) <=> ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16299,plain,
% 34.09/22.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2)))),
% 34.09/22.76 inference(monotonicity,[status(thm)],[16298])).
% 34.09/22.76 tff(16300,plain,
% 34.09/22.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 34.09/22.76 inference(transitivity,[status(thm)],[16299, 16297])).
% 34.09/22.76 tff(16301,plain,
% 34.09/22.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))),
% 34.09/22.76 inference(quant_inst,[status(thm)],[])).
% 34.09/22.76 tff(16302,plain,
% 34.09/22.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2)),
% 34.09/22.76 inference(modus_ponens,[status(thm)],[16301, 16300])).
% 34.09/22.76 tff(16303,plain,
% 34.09/22.76 ((~v127(constB107, bitIndex2)) | v130(constB107, bitIndex2)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16302, 689, 15867])).
% 34.09/22.76 tff(16304,plain,
% 34.09/22.76 (~v127(constB107, bitIndex2)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16303, 16296])).
% 34.09/22.76 tff(16305,plain,
% 34.09/22.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16306,plain,
% 34.09/22.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))),
% 34.09/22.76 inference(quant_inst,[status(thm)],[])).
% 34.09/22.76 tff(16307,plain,
% 34.09/22.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2))),
% 34.09/22.76 inference(modus_ponens,[status(thm)],[16306, 16305])).
% 34.09/22.76 tff(16308,plain,
% 34.09/22.76 (v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2))),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16307, 707, 15875])).
% 34.09/22.76 tff(16309,plain,
% 34.09/22.76 (~v129(constB108, bitIndex2)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16308, 16304])).
% 34.09/22.76 tff(16310,plain,
% 34.09/22.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16311,plain,
% 34.09/22.76 (((~v90(constB108, bitIndex2)) | (~v100(constB108)) | v129(constB108, bitIndex2)) <=> ((~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16312,plain,
% 34.09/22.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~v100(constB108)) | v129(constB108, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108))))),
% 34.09/22.76 inference(monotonicity,[status(thm)],[16311])).
% 34.09/22.76 tff(16313,plain,
% 34.09/22.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~v100(constB108)) | v129(constB108, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))),
% 34.09/22.76 inference(transitivity,[status(thm)],[16312, 16310])).
% 34.09/22.76 tff(16314,plain,
% 34.09/22.76 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~v100(constB108)) | v129(constB108, bitIndex2))),
% 34.09/22.76 inference(quant_inst,[status(thm)],[])).
% 34.09/22.76 tff(16315,plain,
% 34.09/22.76 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108))),
% 34.09/22.76 inference(modus_ponens,[status(thm)],[16314, 16313])).
% 34.09/22.76 tff(16316,plain,
% 34.09/22.76 ((~v90(constB108, bitIndex2)) | (~v100(constB108))),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16315, 722, 16309])).
% 34.09/22.76 tff(16317,plain,
% 34.09/22.76 (~v90(constB108, bitIndex2)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16316, 16251])).
% 34.09/22.76 tff(16318,plain,
% 34.09/22.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16319,plain,
% 34.09/22.76 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2))) <=> (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16320,plain,
% 34.09/22.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2))))),
% 34.09/22.76 inference(monotonicity,[status(thm)],[16319])).
% 34.09/22.76 tff(16321,plain,
% 34.09/22.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 34.09/22.76 inference(transitivity,[status(thm)],[16320, 16318])).
% 34.09/22.76 tff(16322,plain,
% 34.09/22.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 34.09/22.76 inference(quant_inst,[status(thm)],[])).
% 34.09/22.76 tff(16323,plain,
% 34.09/22.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2))),
% 34.09/22.76 inference(modus_ponens,[status(thm)],[16322, 16321])).
% 34.09/22.76 tff(16324,plain,
% 34.09/22.76 (v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2))),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16323, 413, 15900])).
% 34.09/22.76 tff(16325,plain,
% 34.09/22.76 (v90(constB108, bitIndex2) | (~v90(constB109, bitIndex2))),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16324, 15912])).
% 34.09/22.76 tff(16326,plain,
% 34.09/22.76 (~v90(constB109, bitIndex2)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16325, 16317])).
% 34.09/22.76 tff(16327,plain,
% 34.09/22.76 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16328,plain,
% 34.09/22.76 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))),
% 34.09/22.76 inference(quant_inst,[status(thm)],[])).
% 34.09/22.76 tff(16329,plain,
% 34.09/22.76 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109)),
% 34.09/22.76 inference(modus_ponens,[status(thm)],[16328, 16327])).
% 34.09/22.76 tff(16330,plain,
% 34.09/22.76 (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16329, 1242, 16135])).
% 34.09/22.76 tff(16331,plain,
% 34.09/22.76 ($false),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16330, 16326, 16292, 16277])).
% 34.09/22.76 tff(16332,plain,((~v120(constB107)) | v121(constB109)), inference(lemma,lemma(discharge,[]))).
% 34.09/22.76 tff(16333,plain,
% 34.09/22.76 (~v120(constB107)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16332, 16135])).
% 34.09/22.76 tff(16334,assumption,(v119(constB105)), introduced(assumption)).
% 34.09/22.76 tff(16335,plain,
% 34.09/22.76 (v118(constB105)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15330, 487, 16334])).
% 34.09/22.76 tff(16336,plain,
% 34.09/22.76 (v117(constB105)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15309, 498, 16335])).
% 34.09/22.76 tff(16337,plain,
% 34.09/22.76 (v116(constB105)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15305, 509, 16336])).
% 34.09/22.76 tff(16338,plain,
% 34.09/22.76 (v115(constB105)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15293, 520, 16337])).
% 34.09/22.76 tff(16339,plain,
% 34.09/22.76 (v114(constB105)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15289, 531, 16338])).
% 34.09/22.76 tff(16340,plain,
% 34.09/22.76 (v113(constB105)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15285, 542, 16339])).
% 34.09/22.76 tff(16341,plain,
% 34.09/22.76 (v112(constB105)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15281, 16340])).
% 34.09/22.76 tff(16342,plain,
% 34.09/22.76 (v108(constB105)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15273, 568, 16341])).
% 34.09/22.76 tff(16343,plain,
% 34.09/22.76 (v110(constB106)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15269, 16342])).
% 34.09/22.76 tff(16344,plain,
% 34.09/22.76 (v100(constB106)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15261, 16343])).
% 34.09/22.76 tff(16345,plain,
% 34.09/22.76 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB105)) | (~v130(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB105)) | (~v130(constB105, bitIndex2)))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16346,plain,
% 34.09/22.76 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB105)) | (~v130(constB105, bitIndex2)))),
% 34.09/22.76 inference(quant_inst,[status(thm)],[])).
% 34.09/22.76 tff(16347,plain,
% 34.09/22.76 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB105)) | (~v130(constB105, bitIndex2))),
% 34.09/22.76 inference(modus_ponens,[status(thm)],[16346, 16345])).
% 34.09/22.76 tff(16348,plain,
% 34.09/22.76 (~v130(constB105, bitIndex2)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16347, 675, 16334])).
% 34.09/22.76 tff(16349,plain,
% 34.09/22.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16350,plain,
% 34.09/22.76 ((v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2))) <=> ((~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16351,plain,
% 34.09/22.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2)))),
% 34.09/22.76 inference(monotonicity,[status(thm)],[16350])).
% 34.09/22.76 tff(16352,plain,
% 34.09/22.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))),
% 34.09/22.76 inference(transitivity,[status(thm)],[16351, 16349])).
% 34.09/22.76 tff(16353,plain,
% 34.09/22.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2)))),
% 34.09/22.76 inference(quant_inst,[status(thm)],[])).
% 34.09/22.76 tff(16354,plain,
% 34.09/22.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2)),
% 34.09/22.76 inference(modus_ponens,[status(thm)],[16353, 16352])).
% 34.09/22.76 tff(16355,plain,
% 34.09/22.76 ((~v127(constB105, bitIndex2)) | v130(constB105, bitIndex2)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16354, 689, 15216])).
% 34.09/22.76 tff(16356,plain,
% 34.09/22.76 (~v127(constB105, bitIndex2)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16355, 16348])).
% 34.09/22.76 tff(16357,plain,
% 34.09/22.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2)))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16358,plain,
% 34.09/22.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2)))),
% 34.09/22.76 inference(quant_inst,[status(thm)],[])).
% 34.09/22.76 tff(16359,plain,
% 34.09/22.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2))),
% 34.09/22.76 inference(modus_ponens,[status(thm)],[16358, 16357])).
% 34.09/22.76 tff(16360,plain,
% 34.09/22.76 (v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2))),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16359, 707, 15224])).
% 34.09/22.76 tff(16361,plain,
% 34.09/22.76 (~v129(constB106, bitIndex2)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16360, 16356])).
% 34.09/22.76 tff(16362,plain,
% 34.09/22.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106)))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16363,plain,
% 34.09/22.76 (((~v90(constB106, bitIndex2)) | (~v100(constB106)) | v129(constB106, bitIndex2)) <=> ((~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106)))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16364,plain,
% 34.09/22.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | (~v100(constB106)) | v129(constB106, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106))))),
% 34.09/22.76 inference(monotonicity,[status(thm)],[16363])).
% 34.09/22.76 tff(16365,plain,
% 34.09/22.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | (~v100(constB106)) | v129(constB106, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106)))),
% 34.09/22.76 inference(transitivity,[status(thm)],[16364, 16362])).
% 34.09/22.76 tff(16366,plain,
% 34.09/22.76 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | (~v100(constB106)) | v129(constB106, bitIndex2))),
% 34.09/22.76 inference(quant_inst,[status(thm)],[])).
% 34.09/22.76 tff(16367,plain,
% 34.09/22.76 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106))),
% 34.09/22.76 inference(modus_ponens,[status(thm)],[16366, 16365])).
% 34.09/22.76 tff(16368,plain,
% 34.09/22.76 ((~v90(constB106, bitIndex2)) | (~v100(constB106))),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16367, 722, 16361])).
% 34.09/22.76 tff(16369,plain,
% 34.09/22.76 (~v90(constB106, bitIndex2)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16368, 16344])).
% 34.09/22.76 tff(16370,plain,
% 34.09/22.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16371,plain,
% 34.09/22.76 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2))) <=> (v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16372,plain,
% 34.09/22.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2))))),
% 34.09/22.76 inference(monotonicity,[status(thm)],[16371])).
% 34.09/22.76 tff(16373,plain,
% 34.09/22.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 34.09/22.76 inference(transitivity,[status(thm)],[16372, 16370])).
% 34.09/22.76 tff(16374,plain,
% 34.09/22.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 34.09/22.76 inference(quant_inst,[status(thm)],[])).
% 34.09/22.76 tff(16375,plain,
% 34.09/22.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2))),
% 34.09/22.76 inference(modus_ponens,[status(thm)],[16374, 16373])).
% 34.09/22.76 tff(16376,plain,
% 34.09/22.76 (v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2))),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16375, 413, 15769])).
% 34.09/22.76 tff(16377,plain,
% 34.09/22.76 (v90(constB106, bitIndex2) | (~v90(constB107, bitIndex2))),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16376, 15781])).
% 34.09/22.76 tff(16378,plain,
% 34.09/22.76 (~v90(constB107, bitIndex2)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16377, 16369])).
% 34.09/22.76 tff(16379,plain,
% 34.09/22.76 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB105)) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB105)) | v130(constB105, bitIndex0))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16380,plain,
% 34.09/22.76 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB105)) | v130(constB105, bitIndex0))),
% 34.09/22.76 inference(quant_inst,[status(thm)],[])).
% 34.09/22.76 tff(16381,plain,
% 34.09/22.76 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB105)) | v130(constB105, bitIndex0)),
% 34.09/22.76 inference(modus_ponens,[status(thm)],[16380, 16379])).
% 34.09/22.76 tff(16382,plain,
% 34.09/22.76 (v130(constB105, bitIndex0)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16381, 841, 16334])).
% 34.09/22.76 tff(16383,plain,
% 34.09/22.76 (v127(constB105, bitIndex0)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15832, 16382])).
% 34.09/22.76 tff(16384,plain,
% 34.09/22.76 (v129(constB106, bitIndex0)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15837, 16383])).
% 34.09/22.76 tff(16385,plain,
% 34.09/22.76 (v90(constB106, bitIndex0) | (~v100(constB106))),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15844, 885, 16384])).
% 34.09/22.76 tff(16386,plain,
% 34.09/22.76 (v90(constB106, bitIndex0)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16385, 16344])).
% 34.09/22.76 tff(16387,plain,
% 34.09/22.76 (v90(constB107, bitIndex0)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15854, 16386])).
% 34.09/22.76 tff(16388,plain,
% 34.09/22.76 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB105)) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB105)) | (~v130(constB105, bitIndex1)))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16389,plain,
% 34.09/22.76 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB105)) | (~v130(constB105, bitIndex1)))),
% 34.09/22.76 inference(quant_inst,[status(thm)],[])).
% 34.09/22.76 tff(16390,plain,
% 34.09/22.76 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB105)) | (~v130(constB105, bitIndex1))),
% 34.09/22.76 inference(modus_ponens,[status(thm)],[16389, 16388])).
% 34.09/22.76 tff(16391,plain,
% 34.09/22.76 (~v130(constB105, bitIndex1)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16390, 767, 16334])).
% 34.09/22.76 tff(16392,plain,
% 34.09/22.76 (~v127(constB105, bitIndex1)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15801, 16391])).
% 34.09/22.76 tff(16393,plain,
% 34.09/22.76 (~v129(constB106, bitIndex1)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15806, 16392])).
% 34.09/22.76 tff(16394,plain,
% 34.09/22.76 ((~v90(constB106, bitIndex1)) | (~v100(constB106))),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15813, 814, 16393])).
% 34.09/22.76 tff(16395,plain,
% 34.09/22.76 (~v90(constB106, bitIndex1)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[16394, 16344])).
% 34.09/22.76 tff(16396,plain,
% 34.09/22.76 (~v90(constB107, bitIndex1)),
% 34.09/22.76 inference(unit_resolution,[status(thm)],[15823, 16395])).
% 34.09/22.76 tff(16397,assumption,(~v120(constB107)), introduced(assumption)).
% 34.09/22.76 tff(16398,plain,
% 34.09/22.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16399,plain,
% 34.09/22.76 (((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2)) <=> ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 34.09/22.76 inference(rewrite,[status(thm)],[])).
% 34.09/22.76 tff(16400,plain,
% 34.09/22.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107)))),
% 34.17/22.76 inference(monotonicity,[status(thm)],[16399])).
% 34.17/22.76 tff(16401,plain,
% 34.17/22.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 34.17/22.76 inference(transitivity,[status(thm)],[16400, 16398])).
% 34.17/22.76 tff(16402,plain,
% 34.17/22.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))),
% 34.17/22.76 inference(quant_inst,[status(thm)],[])).
% 34.17/22.76 tff(16403,plain,
% 34.17/22.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107)),
% 34.17/22.76 inference(modus_ponens,[status(thm)],[16402, 16401])).
% 34.17/22.76 tff(16404,plain,
% 34.17/22.76 ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2)),
% 34.17/22.76 inference(unit_resolution,[status(thm)],[16403, 922, 16397])).
% 34.17/22.76 tff(16405,plain,
% 34.17/22.76 ($false),
% 34.17/22.76 inference(unit_resolution,[status(thm)],[16404, 16396, 16387, 16378])).
% 34.17/22.76 tff(16406,plain,((~v119(constB105)) | v120(constB107)), inference(lemma,lemma(discharge,[]))).
% 34.17/22.76 tff(16407,plain,
% 34.17/22.76 (~v119(constB105)),
% 34.17/22.76 inference(unit_resolution,[status(thm)],[16406, 16333])).
% 34.17/22.76 tff(16408,assumption,(v100(constB106)), introduced(assumption)).
% 34.17/22.76 tff(16409,assumption,(~v120(constB105)), introduced(assumption)).
% 34.17/22.76 tff(16410,assumption,(~v124(constB105)), introduced(assumption)).
% 34.17/22.76 tff(16411,plain,
% 34.17/22.76 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB109)) | (~v90(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB109)) | (~v90(constB109, bitIndex2)))),
% 34.17/22.76 inference(rewrite,[status(thm)],[])).
% 34.17/22.76 tff(16412,plain,
% 34.17/22.76 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB109)) | (~v90(constB109, bitIndex2)))),
% 34.17/22.76 inference(quant_inst,[status(thm)],[])).
% 34.17/22.76 tff(16413,plain,
% 34.17/22.76 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB109)) | (~v90(constB109, bitIndex2))),
% 34.17/22.76 inference(modus_ponens,[status(thm)],[16412, 16411])).
% 34.17/22.76 tff(16414,plain,
% 34.17/22.76 (~v90(constB109, bitIndex2)),
% 34.17/22.76 inference(unit_resolution,[status(thm)],[16413, 6865, 16165])).
% 34.17/22.76 tff(16415,plain,
% 34.17/22.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))),
% 34.17/22.76 inference(rewrite,[status(thm)],[])).
% 34.17/22.76 tff(16416,plain,
% 34.17/22.76 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2)) <=> ((~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))),
% 34.17/22.76 inference(rewrite,[status(thm)],[])).
% 34.17/22.76 tff(16417,plain,
% 34.17/22.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2)))),
% 34.17/22.77 inference(monotonicity,[status(thm)],[16416])).
% 34.17/22.77 tff(16418,plain,
% 34.17/22.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))),
% 34.17/22.77 inference(transitivity,[status(thm)],[16417, 16415])).
% 34.17/22.77 tff(16419,plain,
% 34.17/22.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16420,plain,
% 34.17/22.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2)),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16419, 16418])).
% 34.17/22.77 tff(16421,plain,
% 34.17/22.77 ((~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16420, 1658, 15900])).
% 34.17/22.77 tff(16422,plain,
% 34.17/22.77 ((~v90(constB108, bitIndex2)) | v90(constB109, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16421, 15912])).
% 34.17/22.77 tff(16423,plain,
% 34.17/22.77 (~v90(constB108, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16422, 16414])).
% 34.17/22.77 tff(16424,plain,
% 34.17/22.77 (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0))),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[15844, 885, 16408])).
% 34.17/22.77 tff(16425,plain,
% 34.17/22.77 (~v129(constB106, bitIndex0)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16424, 16051])).
% 34.17/22.77 tff(16426,plain,
% 34.17/22.77 (~v127(constB105, bitIndex0)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[15837, 16425])).
% 34.17/22.77 tff(16427,plain,
% 34.17/22.77 (~v130(constB105, bitIndex0)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[15832, 16426])).
% 34.17/22.77 tff(16428,plain,
% 34.17/22.77 (~v123(constB105)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[15827, 1953, 16427])).
% 34.17/22.77 tff(16429,assumption,(~v90(constB108, bitIndex2)), introduced(assumption)).
% 34.17/22.77 tff(16430,plain,
% 34.17/22.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB107, bitIndex2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB107, bitIndex2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex2))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16431,plain,
% 34.17/22.77 (((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex2)) | v100(constB108) | v90(constB108, bitIndex2)) <=> ((~v90(constB107, bitIndex2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex2))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16432,plain,
% 34.17/22.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex2)) | v100(constB108) | v90(constB108, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB107, bitIndex2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex2)))),
% 34.17/22.77 inference(monotonicity,[status(thm)],[16431])).
% 34.17/22.77 tff(16433,plain,
% 34.17/22.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex2)) | v100(constB108) | v90(constB108, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB107, bitIndex2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex2))),
% 34.17/22.77 inference(transitivity,[status(thm)],[16432, 16430])).
% 34.17/22.77 tff(16434,plain,
% 34.17/22.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex2)) | v100(constB108) | v90(constB108, bitIndex2))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16435,plain,
% 34.17/22.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB107, bitIndex2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex2)),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16434, 16433])).
% 34.17/22.77 tff(16436,plain,
% 34.17/22.77 ((~v90(constB107, bitIndex2)) | v100(constB108) | v90(constB108, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16435, 1658, 15875])).
% 34.17/22.77 tff(16437,plain,
% 34.17/22.77 (~v90(constB107, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16436, 15885, 16429])).
% 34.17/22.77 tff(16438,plain,
% 34.17/22.77 (~v90(constB106, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[15789, 16437])).
% 34.17/22.77 tff(16439,plain,
% 34.17/22.77 (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2))),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[15761, 1622, 16408])).
% 34.17/22.77 tff(16440,plain,
% 34.17/22.77 (~v129(constB106, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16439, 16438])).
% 34.17/22.77 tff(16441,plain,
% 34.17/22.77 (~v127(constB105, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[15228, 16440])).
% 34.17/22.77 tff(16442,plain,
% 34.17/22.77 (~v130(constB105, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[15220, 16441])).
% 34.17/22.77 tff(16443,plain,
% 34.17/22.77 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB105)) | v130(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB105)) | v130(constB105, bitIndex2))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16444,plain,
% 34.17/22.77 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB105)) | v130(constB105, bitIndex2))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16445,plain,
% 34.17/22.77 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB105)) | v130(constB105, bitIndex2)),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16444, 16443])).
% 34.17/22.77 tff(16446,plain,
% 34.17/22.77 (~v122(constB105)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16445, 1578, 16442])).
% 34.17/22.77 tff(16447,plain,
% 34.17/22.77 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | v130(constB105, bitIndex0))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16448,plain,
% 34.17/22.77 ((v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0)) <=> (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | v130(constB105, bitIndex0))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16449,plain,
% 34.17/22.77 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | v130(constB105, bitIndex0)))),
% 34.17/22.77 inference(monotonicity,[status(thm)],[16448])).
% 34.17/22.77 tff(16450,plain,
% 34.17/22.77 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | v130(constB105, bitIndex0))),
% 34.17/22.77 inference(transitivity,[status(thm)],[16449, 16447])).
% 34.17/22.77 tff(16451,plain,
% 34.17/22.77 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16452,plain,
% 34.17/22.77 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | v130(constB105, bitIndex0)),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16451, 16450])).
% 34.17/22.77 tff(16453,plain,
% 34.17/22.77 (v123(constB105) | v122(constB105) | v119(constB105) | v130(constB105, bitIndex0)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16452, 2495, 16410, 15376, 16409])).
% 34.17/22.77 tff(16454,plain,
% 34.17/22.77 ($false),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16453, 16446, 16428, 15332, 16427])).
% 34.17/22.77 tff(16455,plain,(v100(constB108) | v119(constB105) | v124(constB105) | v121(constB105) | v120(constB105) | (~v100(constB106)) | v90(constB108, bitIndex2) | v90(constB108, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.17/22.77 tff(16456,plain,
% 34.17/22.77 (v100(constB108)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16455, 16423, 16410, 15376, 16409, 16408, 16407, 16177])).
% 34.17/22.77 tff(16457,plain,
% 34.17/22.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~v129(constB108, bitIndex0)) | (~v100(constB108)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~v129(constB108, bitIndex0)) | (~v100(constB108)))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16458,plain,
% 34.17/22.77 ((v90(constB108, bitIndex0) | (~v100(constB108)) | (~v129(constB108, bitIndex0))) <=> (v90(constB108, bitIndex0) | (~v129(constB108, bitIndex0)) | (~v100(constB108)))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16459,plain,
% 34.17/22.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~v100(constB108)) | (~v129(constB108, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~v129(constB108, bitIndex0)) | (~v100(constB108))))),
% 34.17/22.77 inference(monotonicity,[status(thm)],[16458])).
% 34.17/22.77 tff(16460,plain,
% 34.17/22.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~v100(constB108)) | (~v129(constB108, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~v129(constB108, bitIndex0)) | (~v100(constB108)))),
% 34.17/22.77 inference(transitivity,[status(thm)],[16459, 16457])).
% 34.17/22.77 tff(16461,plain,
% 34.17/22.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~v100(constB108)) | (~v129(constB108, bitIndex0)))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16462,plain,
% 34.17/22.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~v129(constB108, bitIndex0)) | (~v100(constB108))),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16461, 16460])).
% 34.17/22.77 tff(16463,plain,
% 34.17/22.77 ((~v129(constB108, bitIndex0)) | (~v100(constB108))),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16462, 885, 16177])).
% 34.17/22.77 tff(16464,plain,
% 34.17/22.77 (~v129(constB108, bitIndex0)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16463, 16456])).
% 34.17/22.77 tff(16465,plain,
% 34.17/22.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex0)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex0)) | v129(constB108, bitIndex0))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16466,plain,
% 34.17/22.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex0)) | v129(constB108, bitIndex0))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16467,plain,
% 34.17/22.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex0)) | v129(constB108, bitIndex0)),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16466, 16465])).
% 34.17/22.77 tff(16468,plain,
% 34.17/22.77 ((~v127(constB107, bitIndex0)) | v129(constB108, bitIndex0)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16467, 870, 15875])).
% 34.17/22.77 tff(16469,plain,
% 34.17/22.77 (~v127(constB107, bitIndex0)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16468, 16464])).
% 34.17/22.77 tff(16470,plain,
% 34.17/22.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB107) | (~v130(constB107, bitIndex0)) | v127(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB107) | (~v130(constB107, bitIndex0)) | v127(constB107, bitIndex0))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16471,plain,
% 34.17/22.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB107) | (~v130(constB107, bitIndex0)) | v127(constB107, bitIndex0))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16472,plain,
% 34.17/22.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB107) | (~v130(constB107, bitIndex0)) | v127(constB107, bitIndex0)),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16471, 16470])).
% 34.17/22.77 tff(16473,plain,
% 34.17/22.77 ((~v130(constB107, bitIndex0)) | v127(constB107, bitIndex0)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16472, 855, 15867])).
% 34.17/22.77 tff(16474,plain,
% 34.17/22.77 (~v130(constB107, bitIndex0)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16473, 16469])).
% 34.17/22.77 tff(16475,plain,
% 34.17/22.77 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB107)) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB107)) | v130(constB107, bitIndex0))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16476,plain,
% 34.17/22.77 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB107)) | v130(constB107, bitIndex0))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16477,plain,
% 34.17/22.77 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB107)) | v130(constB107, bitIndex0)),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16476, 16475])).
% 34.17/22.77 tff(16478,plain,
% 34.17/22.77 (~v119(constB107)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16477, 841, 16474])).
% 34.17/22.77 tff(16479,plain,
% 34.17/22.77 ((~v129(constB108, bitIndex1)) | (~v100(constB108))),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16289, 1131, 15983])).
% 34.17/22.77 tff(16480,plain,
% 34.17/22.77 (~v129(constB108, bitIndex1)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16479, 16456])).
% 34.17/22.77 tff(16481,plain,
% 34.17/22.77 (~v127(constB107, bitIndex1)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[15879, 16480])).
% 34.17/22.77 tff(16482,plain,
% 34.17/22.77 (~v130(constB107, bitIndex1)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[15871, 16481])).
% 34.17/22.77 tff(16483,plain,
% 34.17/22.77 (~v124(constB107)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[15862, 2145, 16482])).
% 34.17/22.77 tff(16484,plain,
% 34.17/22.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16485,plain,
% 34.17/22.77 ((v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2))) <=> (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16486,plain,
% 34.17/22.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108))))),
% 34.17/22.77 inference(monotonicity,[status(thm)],[16485])).
% 34.17/22.77 tff(16487,plain,
% 34.17/22.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))),
% 34.17/22.77 inference(transitivity,[status(thm)],[16486, 16484])).
% 34.17/22.77 tff(16488,plain,
% 34.17/22.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2)))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16489,plain,
% 34.17/22.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108))),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16488, 16487])).
% 34.17/22.77 tff(16490,plain,
% 34.17/22.77 ((~v129(constB108, bitIndex2)) | (~v100(constB108))),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16489, 1622, 16423])).
% 34.17/22.77 tff(16491,plain,
% 34.17/22.77 (~v129(constB108, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16490, 16456])).
% 34.17/22.77 tff(16492,plain,
% 34.17/22.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16493,plain,
% 34.17/22.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16494,plain,
% 34.17/22.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2)),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16493, 16492])).
% 34.17/22.77 tff(16495,plain,
% 34.17/22.77 ((~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16494, 1607, 15875])).
% 34.17/22.77 tff(16496,plain,
% 34.17/22.77 (~v127(constB107, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16495, 16491])).
% 34.17/22.77 tff(16497,plain,
% 34.17/22.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16498,plain,
% 34.17/22.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16499,plain,
% 34.17/22.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2)),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16498, 16497])).
% 34.17/22.77 tff(16500,plain,
% 34.17/22.77 ((~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16499, 1592, 15867])).
% 34.17/22.77 tff(16501,plain,
% 34.17/22.77 (~v130(constB107, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16500, 16496])).
% 34.17/22.77 tff(16502,plain,
% 34.17/22.77 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB107)) | v130(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB107)) | v130(constB107, bitIndex2))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16503,plain,
% 34.17/22.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB107)) | v130(constB107, bitIndex2))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16504,plain,
% 34.17/22.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB107)) | v130(constB107, bitIndex2)),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16503, 16502])).
% 34.17/22.77 tff(16505,plain,
% 34.17/22.77 (~v123(constB107)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16504, 1850, 16501])).
% 34.17/22.77 tff(16506,assumption,(~v121(constB107)), introduced(assumption)).
% 34.17/22.77 tff(16507,assumption,(~v122(constB107)), introduced(assumption)).
% 34.17/22.77 tff(16508,plain,
% 34.17/22.77 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | v124(constB107) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | v124(constB107) | v130(constB107, bitIndex0))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16509,plain,
% 34.17/22.77 ((v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | v130(constB107, bitIndex0)) <=> (v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | v124(constB107) | v130(constB107, bitIndex0))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16510,plain,
% 34.17/22.77 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | v124(constB107) | v130(constB107, bitIndex0)))),
% 34.17/22.77 inference(monotonicity,[status(thm)],[16509])).
% 34.17/22.77 tff(16511,plain,
% 34.17/22.77 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | v124(constB107) | v130(constB107, bitIndex0))),
% 34.17/22.77 inference(transitivity,[status(thm)],[16510, 16508])).
% 34.17/22.77 tff(16512,plain,
% 34.17/22.77 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | v130(constB107, bitIndex0))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16513,plain,
% 34.17/22.77 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | v124(constB107) | v130(constB107, bitIndex0)),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16512, 16511])).
% 34.17/22.77 tff(16514,plain,
% 34.17/22.77 (v123(constB107) | v120(constB107) | v119(constB107) | v124(constB107) | v130(constB107, bitIndex0)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16513, 2495, 16507, 16506])).
% 34.17/22.77 tff(16515,plain,
% 34.17/22.77 ($false),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16514, 16505, 16483, 16333, 16474, 16478])).
% 34.17/22.77 tff(16516,plain,(v90(constB109, bitIndex1) | v122(constB107) | v121(constB107) | v124(constB105) | v121(constB105) | v120(constB105) | (~v100(constB106)) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v113(constB109))), inference(lemma,lemma(discharge,[]))).
% 34.17/22.77 tff(16517,plain,
% 34.17/22.77 ($false),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16516, 16062, 16058, 15922, 16049, 16048, 16044, 16023, 16013, 16012, 16008, 16004, 16003, 16002])).
% 34.17/22.77 tff(16518,plain,(v100(constB108) | v90(constB109, bitIndex1) | (~v113(constB109)) | v120(constB109) | v123(constB109) | v124(constB109) | v90(constB108, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.17/22.77 tff(16519,plain,
% 34.17/22.77 (v100(constB108)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16518, 15974, 15922, 15945, 15941, 15936, 15932])).
% 34.17/22.77 tff(16520,plain,
% 34.17/22.77 ((~v129(constB108, bitIndex0)) | (~v100(constB108))),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16462, 885, 15932])).
% 34.17/22.77 tff(16521,plain,
% 34.17/22.77 (~v129(constB108, bitIndex0)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16520, 16519])).
% 34.17/22.77 tff(16522,plain,
% 34.17/22.77 (~v127(constB107, bitIndex0)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16468, 16521])).
% 34.17/22.77 tff(16523,plain,
% 34.17/22.77 (~v130(constB107, bitIndex0)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16473, 16522])).
% 34.17/22.77 tff(16524,plain,
% 34.17/22.77 (~v119(constB107)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16477, 841, 16523])).
% 34.17/22.77 tff(16525,plain,
% 34.17/22.77 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB107)) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB107)) | v130(constB107, bitIndex0))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16526,plain,
% 34.17/22.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB107)) | v130(constB107, bitIndex0))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16527,plain,
% 34.17/22.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB107)) | v130(constB107, bitIndex0)),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16526, 16525])).
% 34.17/22.77 tff(16528,plain,
% 34.17/22.77 (~v123(constB107)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16527, 1953, 16523])).
% 34.17/22.77 tff(16529,plain,
% 34.17/22.77 (~v90(constB108, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16422, 15937])).
% 34.17/22.77 tff(16530,plain,
% 34.17/22.77 ((~v129(constB108, bitIndex2)) | (~v100(constB108))),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16489, 1622, 16529])).
% 34.17/22.77 tff(16531,plain,
% 34.17/22.77 (~v129(constB108, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16530, 16519])).
% 34.17/22.77 tff(16532,plain,
% 34.17/22.77 (~v127(constB107, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16495, 16531])).
% 34.17/22.77 tff(16533,plain,
% 34.17/22.77 (~v130(constB107, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16500, 16532])).
% 34.17/22.77 tff(16534,plain,
% 34.17/22.77 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB107)) | v130(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB107)) | v130(constB107, bitIndex2))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16535,plain,
% 34.17/22.77 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB107)) | v130(constB107, bitIndex2))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16536,plain,
% 34.17/22.77 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB107)) | v130(constB107, bitIndex2)),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16535, 16534])).
% 34.17/22.77 tff(16537,plain,
% 34.17/22.77 (~v122(constB107)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16536, 1578, 16533])).
% 34.17/22.77 tff(16538,plain,
% 34.17/22.77 (~v129(constB108, bitIndex1)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16479, 16519])).
% 34.17/22.77 tff(16539,plain,
% 34.17/22.77 (~v127(constB107, bitIndex1)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[15879, 16538])).
% 34.17/22.77 tff(16540,plain,
% 34.17/22.77 (~v130(constB107, bitIndex1)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[15871, 16539])).
% 34.17/22.77 tff(16541,plain,
% 34.17/22.77 (~v124(constB107)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[15862, 2145, 16540])).
% 34.17/22.77 tff(16542,plain,
% 34.17/22.77 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB107)) | v130(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB107)) | v130(constB107, bitIndex1))),
% 34.17/22.77 inference(rewrite,[status(thm)],[])).
% 34.17/22.77 tff(16543,plain,
% 34.17/22.77 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB107)) | v130(constB107, bitIndex1))),
% 34.17/22.77 inference(quant_inst,[status(thm)],[])).
% 34.17/22.77 tff(16544,plain,
% 34.17/22.77 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB107)) | v130(constB107, bitIndex1)),
% 34.17/22.77 inference(modus_ponens,[status(thm)],[16543, 16542])).
% 34.17/22.77 tff(16545,plain,
% 34.17/22.77 (~v121(constB107)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16544, 1404, 16540])).
% 34.17/22.77 tff(16546,plain,
% 34.17/22.77 (~v120(constB107)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16332, 16012])).
% 34.17/22.77 tff(16547,plain,
% 34.17/22.77 (v123(constB107) | v122(constB107) | v119(constB107)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16513, 2495, 16523, 16546, 16545, 16541])).
% 34.17/22.77 tff(16548,plain,
% 34.17/22.77 ($false),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16547, 16537, 16528, 16524])).
% 34.17/22.77 tff(16549,plain,(v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.17/22.77 tff(16550,plain,
% 34.17/22.77 (v90(constB109, bitIndex2)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16549, 15922, 15921])).
% 34.17/22.77 tff(16551,plain,
% 34.17/22.77 (~v110(constB108)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16250, 15885])).
% 34.17/22.77 tff(16552,plain,
% 34.17/22.77 (~v108(constB107)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16218, 16551])).
% 34.17/22.77 tff(16553,plain,
% 34.17/22.77 (~v112(constB107)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16210, 568, 16552])).
% 34.17/22.77 tff(16554,plain,
% 34.17/22.77 (~v113(constB107)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16206, 16553])).
% 34.17/22.77 tff(16555,plain,
% 34.17/22.77 (~v114(constB107)),
% 34.17/22.77 inference(unit_resolution,[status(thm)],[16201, 542, 16554])).
% 34.17/22.77 tff(16556,assumption,(v90(constB108, bitIndex2)), introduced(assumption)).
% 34.17/22.77 tff(16557,plain,
% 34.17/22.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB107, bitIndex2) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB107, bitIndex2) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex2)))),
% 34.17/22.78 inference(rewrite,[status(thm)],[])).
% 34.17/22.78 tff(16558,plain,
% 34.17/22.78 (((~nextState(constB107, constB108)) | v90(constB107, bitIndex2) | v100(constB108) | (~v90(constB108, bitIndex2))) <=> (v90(constB107, bitIndex2) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex2)))),
% 34.17/22.78 inference(rewrite,[status(thm)],[])).
% 34.17/22.78 tff(16559,plain,
% 34.17/22.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v90(constB107, bitIndex2) | v100(constB108) | (~v90(constB108, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB107, bitIndex2) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex2))))),
% 34.17/22.78 inference(monotonicity,[status(thm)],[16558])).
% 34.17/22.78 tff(16560,plain,
% 34.17/22.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v90(constB107, bitIndex2) | v100(constB108) | (~v90(constB108, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB107, bitIndex2) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex2)))),
% 34.17/22.78 inference(transitivity,[status(thm)],[16559, 16557])).
% 34.17/22.78 tff(16561,plain,
% 34.17/22.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v90(constB107, bitIndex2) | v100(constB108) | (~v90(constB108, bitIndex2)))),
% 34.17/22.78 inference(quant_inst,[status(thm)],[])).
% 34.17/22.78 tff(16562,plain,
% 34.17/22.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB107, bitIndex2) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex2))),
% 34.17/22.78 inference(modus_ponens,[status(thm)],[16561, 16560])).
% 34.17/22.78 tff(16563,plain,
% 34.17/22.78 (v90(constB107, bitIndex2) | v100(constB108) | (~v90(constB108, bitIndex2))),
% 34.17/22.78 inference(unit_resolution,[status(thm)],[16562, 413, 15875])).
% 34.17/22.78 tff(16564,plain,
% 34.17/22.78 (v90(constB107, bitIndex2)),
% 34.17/22.78 inference(unit_resolution,[status(thm)],[16563, 15885, 16556])).
% 34.17/22.78 tff(16565,assumption,(~v90(constB108, bitIndex1)), introduced(assumption)).
% 34.17/22.78 tff(16566,plain,
% 34.17/22.78 (~v90(constB107, bitIndex1)),
% 34.17/22.78 inference(unit_resolution,[status(thm)],[15990, 15885, 16565])).
% 34.17/22.78 tff(16567,plain,
% 34.17/22.78 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v123(constB107))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v123(constB107))),
% 34.17/22.78 inference(rewrite,[status(thm)],[])).
% 34.17/22.78 tff(16568,plain,
% 34.17/22.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v123(constB107))),
% 34.17/22.78 inference(quant_inst,[status(thm)],[])).
% 34.17/22.78 tff(16569,plain,
% 34.17/22.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v123(constB107)),
% 34.17/22.78 inference(modus_ponens,[status(thm)],[16568, 16567])).
% 34.17/22.78 tff(16570,plain,
% 34.17/22.78 (v123(constB107)),
% 34.17/22.78 inference(unit_resolution,[status(thm)],[16569, 1765, 16050, 16566, 16564])).
% 34.17/22.78 tff(16571,plain,
% 34.17/22.78 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB107) | (~v123(constB107)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB107) | (~v123(constB107)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16572,plain,
% 34.19/22.78 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB107) | (~v123(constB107)))),
% 34.19/22.78 inference(quant_inst,[status(thm)],[])).
% 34.19/22.78 tff(16573,plain,
% 34.19/22.78 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB107) | (~v123(constB107))),
% 34.19/22.78 inference(modus_ponens,[status(thm)],[16572, 16571])).
% 34.19/22.78 tff(16574,plain,
% 34.19/22.78 (v115(constB107)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16573, 1776, 16570])).
% 34.19/22.78 tff(16575,plain,
% 34.19/22.78 ($false),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16197, 531, 16574, 16555])).
% 34.19/22.78 tff(16576,plain,(v100(constB108) | (~v90(constB108, bitIndex2)) | v90(constB108, bitIndex0) | v90(constB108, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 34.19/22.78 tff(16577,plain,
% 34.19/22.78 (~v90(constB108, bitIndex2)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16576, 15983, 15885, 15886])).
% 34.19/22.78 tff(16578,plain,
% 34.19/22.78 ($false),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16325, 16577, 16550])).
% 34.19/22.78 tff(16579,plain,(v90(constB109, bitIndex1) | v100(constB108) | v90(constB108, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.19/22.78 tff(16580,plain,
% 34.19/22.78 (v90(constB109, bitIndex1)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16579, 15886, 15885])).
% 34.19/22.78 tff(16581,plain,
% 34.19/22.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex1)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16582,plain,
% 34.19/22.78 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex1) | v100(constB109) | (~v90(constB109, bitIndex1))) <=> (v90(constB108, bitIndex1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex1)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16583,plain,
% 34.19/22.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex1) | v100(constB109) | (~v90(constB109, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex1))))),
% 34.19/22.78 inference(monotonicity,[status(thm)],[16582])).
% 34.19/22.78 tff(16584,plain,
% 34.19/22.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex1) | v100(constB109) | (~v90(constB109, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex1)))),
% 34.19/22.78 inference(transitivity,[status(thm)],[16583, 16581])).
% 34.19/22.78 tff(16585,plain,
% 34.19/22.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex1) | v100(constB109) | (~v90(constB109, bitIndex1)))),
% 34.19/22.78 inference(quant_inst,[status(thm)],[])).
% 34.19/22.78 tff(16586,plain,
% 34.19/22.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex1))),
% 34.19/22.78 inference(modus_ponens,[status(thm)],[16585, 16584])).
% 34.19/22.78 tff(16587,plain,
% 34.19/22.78 (v90(constB108, bitIndex1) | v100(constB109) | (~v90(constB109, bitIndex1))),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16586, 434, 15900])).
% 34.19/22.78 tff(16588,plain,
% 34.19/22.78 (v90(constB108, bitIndex1) | (~v90(constB109, bitIndex1))),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16587, 15912])).
% 34.19/22.78 tff(16589,plain,
% 34.19/22.78 (v90(constB108, bitIndex1)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16588, 16580])).
% 34.19/22.78 tff(16590,plain,
% 34.19/22.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB107, bitIndex1) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB107, bitIndex1) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex1)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16591,plain,
% 34.19/22.78 (((~nextState(constB107, constB108)) | v90(constB107, bitIndex1) | v100(constB108) | (~v90(constB108, bitIndex1))) <=> (v90(constB107, bitIndex1) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex1)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16592,plain,
% 34.19/22.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB107, constB108)) | v90(constB107, bitIndex1) | v100(constB108) | (~v90(constB108, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB107, bitIndex1) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex1))))),
% 34.19/22.78 inference(monotonicity,[status(thm)],[16591])).
% 34.19/22.78 tff(16593,plain,
% 34.19/22.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB107, constB108)) | v90(constB107, bitIndex1) | v100(constB108) | (~v90(constB108, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB107, bitIndex1) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex1)))),
% 34.19/22.78 inference(transitivity,[status(thm)],[16592, 16590])).
% 34.19/22.78 tff(16594,plain,
% 34.19/22.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB107, constB108)) | v90(constB107, bitIndex1) | v100(constB108) | (~v90(constB108, bitIndex1)))),
% 34.19/22.78 inference(quant_inst,[status(thm)],[])).
% 34.19/22.78 tff(16595,plain,
% 34.19/22.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB107, bitIndex1) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex1))),
% 34.19/22.78 inference(modus_ponens,[status(thm)],[16594, 16593])).
% 34.19/22.78 tff(16596,plain,
% 34.19/22.78 (v90(constB107, bitIndex1) | v100(constB108) | (~v90(constB108, bitIndex1))),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16595, 434, 15875])).
% 34.19/22.78 tff(16597,plain,
% 34.19/22.78 (v90(constB107, bitIndex1)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16596, 16589, 15885])).
% 34.19/22.78 tff(16598,assumption,(v90(constB108, bitIndex1)), introduced(assumption)).
% 34.19/22.78 tff(16599,plain,
% 34.19/22.78 (v90(constB107, bitIndex1)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16596, 15885, 16598])).
% 34.19/22.78 tff(16600,plain,
% 34.19/22.78 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | (~v90(constB107, bitIndex2)) | v125(constB107))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | (~v90(constB107, bitIndex2)) | v125(constB107))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16601,plain,
% 34.19/22.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | (~v90(constB107, bitIndex2)) | v125(constB107))),
% 34.19/22.78 inference(quant_inst,[status(thm)],[])).
% 34.19/22.78 tff(16602,plain,
% 34.19/22.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | (~v90(constB107, bitIndex2)) | v125(constB107)),
% 34.19/22.78 inference(modus_ponens,[status(thm)],[16601, 16600])).
% 34.19/22.78 tff(16603,plain,
% 34.19/22.78 (v125(constB107)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16602, 2321, 16050, 16599, 16564])).
% 34.19/22.78 tff(16604,plain,
% 34.19/22.78 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB107) | (~v125(constB107)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB107) | (~v125(constB107)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16605,plain,
% 34.19/22.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB107) | (~v125(constB107)))),
% 34.19/22.78 inference(quant_inst,[status(thm)],[])).
% 34.19/22.78 tff(16606,plain,
% 34.19/22.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB107) | (~v125(constB107))),
% 34.19/22.78 inference(modus_ponens,[status(thm)],[16605, 16604])).
% 34.19/22.78 tff(16607,plain,
% 34.19/22.78 ($false),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16606, 2332, 16554, 16603])).
% 34.19/22.78 tff(16608,plain,(v100(constB108) | (~v90(constB108, bitIndex2)) | (~v90(constB108, bitIndex1)) | v90(constB108, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.19/22.78 tff(16609,plain,
% 34.19/22.78 (~v90(constB108, bitIndex2)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16608, 16589, 15886, 15885])).
% 34.19/22.78 tff(16610,plain,
% 34.19/22.78 (~v90(constB107, bitIndex2)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16436, 16609, 15885])).
% 34.19/22.78 tff(16611,plain,
% 34.19/22.78 (~v115(constB107)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16197, 531, 16555])).
% 34.19/22.78 tff(16612,plain,
% 34.19/22.78 (~v116(constB107)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16193, 520, 16611])).
% 34.19/22.78 tff(16613,plain,
% 34.19/22.78 (~v117(constB107)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16189, 509, 16612])).
% 34.19/22.78 tff(16614,plain,
% 34.19/22.78 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB107) | (~v121(constB107)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB107) | (~v121(constB107)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16615,plain,
% 34.19/22.78 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB107) | (~v121(constB107)))),
% 34.19/22.78 inference(quant_inst,[status(thm)],[])).
% 34.19/22.78 tff(16616,plain,
% 34.19/22.78 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB107) | (~v121(constB107))),
% 34.19/22.78 inference(modus_ponens,[status(thm)],[16615, 16614])).
% 34.19/22.78 tff(16617,plain,
% 34.19/22.78 (~v121(constB107)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16616, 1253, 16613])).
% 34.19/22.78 tff(16618,plain,
% 34.19/22.78 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | v90(constB107, bitIndex2) | v121(constB107))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | v90(constB107, bitIndex2) | v121(constB107))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16619,plain,
% 34.19/22.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | v90(constB107, bitIndex2) | v121(constB107))),
% 34.19/22.78 inference(quant_inst,[status(thm)],[])).
% 34.19/22.78 tff(16620,plain,
% 34.19/22.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | v90(constB107, bitIndex2) | v121(constB107)),
% 34.19/22.78 inference(modus_ponens,[status(thm)],[16619, 16618])).
% 34.19/22.78 tff(16621,plain,
% 34.19/22.78 (v90(constB107, bitIndex0) | (~v90(constB107, bitIndex1)) | v90(constB107, bitIndex2)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16620, 1242, 16617])).
% 34.19/22.78 tff(16622,plain,
% 34.19/22.78 ($false),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16621, 16610, 16597, 15894])).
% 34.19/22.78 tff(16623,plain,(v90(constB108, bitIndex0) | v100(constB108)), inference(lemma,lemma(discharge,[]))).
% 34.19/22.78 tff(16624,plain,
% 34.19/22.78 (v90(constB108, bitIndex0)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16623, 15885])).
% 34.19/22.78 tff(16625,plain,
% 34.19/22.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB107, bitIndex0) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB107, bitIndex0) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex0)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16626,plain,
% 34.19/22.78 (((~nextState(constB107, constB108)) | v90(constB107, bitIndex0) | v100(constB108) | (~v90(constB108, bitIndex0))) <=> (v90(constB107, bitIndex0) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex0)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16627,plain,
% 34.19/22.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v90(constB107, bitIndex0) | v100(constB108) | (~v90(constB108, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB107, bitIndex0) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex0))))),
% 34.19/22.78 inference(monotonicity,[status(thm)],[16626])).
% 34.19/22.78 tff(16628,plain,
% 34.19/22.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v90(constB107, bitIndex0) | v100(constB108) | (~v90(constB108, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB107, bitIndex0) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex0)))),
% 34.19/22.78 inference(transitivity,[status(thm)],[16627, 16625])).
% 34.19/22.78 tff(16629,plain,
% 34.19/22.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v90(constB107, bitIndex0) | v100(constB108) | (~v90(constB108, bitIndex0)))),
% 34.19/22.78 inference(quant_inst,[status(thm)],[])).
% 34.19/22.78 tff(16630,plain,
% 34.19/22.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB107, bitIndex0) | (~nextState(constB107, constB108)) | v100(constB108) | (~v90(constB108, bitIndex0))),
% 34.19/22.78 inference(modus_ponens,[status(thm)],[16629, 16628])).
% 34.19/22.78 tff(16631,plain,
% 34.19/22.78 (v90(constB107, bitIndex0) | v100(constB108) | (~v90(constB108, bitIndex0))),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16630, 455, 15875])).
% 34.19/22.78 tff(16632,plain,
% 34.19/22.78 (v90(constB107, bitIndex0)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16631, 16624, 15885])).
% 34.19/22.78 tff(16633,plain,
% 34.19/22.78 (v90(constB109, bitIndex0)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[15931, 16624])).
% 34.19/22.78 tff(16634,plain,
% 34.19/22.78 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB109, bitIndex0)) | (~v121(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB109, bitIndex0)) | (~v121(constB109)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16635,plain,
% 34.19/22.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB109, bitIndex0)) | (~v121(constB109)))),
% 34.19/22.78 inference(quant_inst,[status(thm)],[])).
% 34.19/22.78 tff(16636,plain,
% 34.19/22.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB109, bitIndex0)) | (~v121(constB109))),
% 34.19/22.78 inference(modus_ponens,[status(thm)],[16635, 16634])).
% 34.19/22.78 tff(16637,plain,
% 34.19/22.78 (~v121(constB109)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16636, 6151, 16633])).
% 34.19/22.78 tff(16638,plain,
% 34.19/22.78 (~v120(constB107)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16332, 16637])).
% 34.19/22.78 tff(16639,plain,
% 34.19/22.78 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB107) | (~v124(constB107)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB107) | (~v124(constB107)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16640,plain,
% 34.19/22.78 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB107) | (~v124(constB107)))),
% 34.19/22.78 inference(quant_inst,[status(thm)],[])).
% 34.19/22.78 tff(16641,plain,
% 34.19/22.78 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB107) | (~v124(constB107))),
% 34.19/22.78 inference(modus_ponens,[status(thm)],[16640, 16639])).
% 34.19/22.78 tff(16642,plain,
% 34.19/22.78 (~v124(constB107)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16641, 2005, 16555])).
% 34.19/22.78 tff(16643,assumption,(v90(constB107, bitIndex0)), introduced(assumption)).
% 34.19/22.78 tff(16644,assumption,(~v90(constB107, bitIndex1)), introduced(assumption)).
% 34.19/22.78 tff(16645,assumption,(~v124(constB107)), introduced(assumption)).
% 34.19/22.78 tff(16646,plain,
% 34.19/22.78 ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2))),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[15858, 1994, 16645])).
% 34.19/22.78 tff(16647,plain,
% 34.19/22.78 (~v90(constB107, bitIndex2)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16646, 16644, 16643])).
% 34.19/22.78 tff(16648,plain,
% 34.19/22.78 ($false),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16404, 16647, 16644, 16643])).
% 34.19/22.78 tff(16649,plain,(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)) | v120(constB107) | v124(constB107)), inference(lemma,lemma(discharge,[]))).
% 34.19/22.78 tff(16650,plain,
% 34.19/22.78 (v90(constB107, bitIndex1)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16649, 16642, 16638, 16632])).
% 34.19/22.78 tff(16651,plain,
% 34.19/22.78 (v90(constB106, bitIndex1)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[15823, 16650])).
% 34.19/22.78 tff(16652,plain,
% 34.19/22.78 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB107) | (~v122(constB107)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB107) | (~v122(constB107)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16653,plain,
% 34.19/22.78 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB107) | (~v122(constB107)))),
% 34.19/22.78 inference(quant_inst,[status(thm)],[])).
% 34.19/22.78 tff(16654,plain,
% 34.19/22.78 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB107) | (~v122(constB107))),
% 34.19/22.78 inference(modus_ponens,[status(thm)],[16653, 16652])).
% 34.19/22.78 tff(16655,plain,
% 34.19/22.78 (~v122(constB107)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16654, 1497, 16612])).
% 34.19/22.78 tff(16656,plain,
% 34.19/22.78 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB107, bitIndex0)) | (~v90(constB107, bitIndex1)) | v90(constB107, bitIndex2) | v122(constB107))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB107, bitIndex0)) | (~v90(constB107, bitIndex1)) | v90(constB107, bitIndex2) | v122(constB107))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16657,plain,
% 34.19/22.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB107, bitIndex0)) | (~v90(constB107, bitIndex1)) | v90(constB107, bitIndex2) | v122(constB107))),
% 34.19/22.78 inference(quant_inst,[status(thm)],[])).
% 34.19/22.78 tff(16658,plain,
% 34.19/22.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB107, bitIndex0)) | (~v90(constB107, bitIndex1)) | v90(constB107, bitIndex2) | v122(constB107)),
% 34.19/22.78 inference(modus_ponens,[status(thm)],[16657, 16656])).
% 34.19/22.78 tff(16659,plain,
% 34.19/22.78 ((~v90(constB107, bitIndex1)) | v90(constB107, bitIndex2) | v122(constB107)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16658, 1486, 16632])).
% 34.19/22.78 tff(16660,plain,
% 34.19/22.78 (v90(constB107, bitIndex2)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16659, 16655, 16650])).
% 34.19/22.78 tff(16661,plain,
% 34.19/22.78 (v90(constB106, bitIndex2)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16377, 16660])).
% 34.19/22.78 tff(16662,plain,
% 34.19/22.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex0)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16663,plain,
% 34.19/22.78 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex0) | v100(constB107) | (~v90(constB107, bitIndex0))) <=> (v90(constB106, bitIndex0) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex0)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16664,plain,
% 34.19/22.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex0) | v100(constB107) | (~v90(constB107, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex0))))),
% 34.19/22.78 inference(monotonicity,[status(thm)],[16663])).
% 34.19/22.78 tff(16665,plain,
% 34.19/22.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex0) | v100(constB107) | (~v90(constB107, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex0)))),
% 34.19/22.78 inference(transitivity,[status(thm)],[16664, 16662])).
% 34.19/22.78 tff(16666,plain,
% 34.19/22.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex0) | v100(constB107) | (~v90(constB107, bitIndex0)))),
% 34.19/22.78 inference(quant_inst,[status(thm)],[])).
% 34.19/22.78 tff(16667,plain,
% 34.19/22.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex0))),
% 34.19/22.78 inference(modus_ponens,[status(thm)],[16666, 16665])).
% 34.19/22.78 tff(16668,plain,
% 34.19/22.78 (v90(constB106, bitIndex0) | v100(constB107) | (~v90(constB107, bitIndex0))),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16667, 455, 15769])).
% 34.19/22.78 tff(16669,plain,
% 34.19/22.78 (v90(constB106, bitIndex0) | (~v90(constB107, bitIndex0))),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16668, 15781])).
% 34.19/22.78 tff(16670,plain,
% 34.19/22.78 (v90(constB106, bitIndex0)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[16669, 16632])).
% 34.19/22.78 tff(16671,plain,
% 34.19/22.78 (v100(constB106)),
% 34.19/22.78 inference(unit_resolution,[status(thm)],[15720, 16670, 15592, 15705, 16661, 16651])).
% 34.19/22.78 tff(16672,plain,
% 34.19/22.78 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | v129(constB106, bitIndex0) | (~v100(constB106)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | v129(constB106, bitIndex0) | (~v100(constB106)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.78 tff(16673,plain,
% 34.19/22.78 (((~v90(constB106, bitIndex0)) | (~v100(constB106)) | v129(constB106, bitIndex0)) <=> ((~v90(constB106, bitIndex0)) | v129(constB106, bitIndex0) | (~v100(constB106)))),
% 34.19/22.78 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16674,plain,
% 34.19/22.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~v100(constB106)) | v129(constB106, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | v129(constB106, bitIndex0) | (~v100(constB106))))),
% 34.19/22.79 inference(monotonicity,[status(thm)],[16673])).
% 34.19/22.79 tff(16675,plain,
% 34.19/22.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~v100(constB106)) | v129(constB106, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | v129(constB106, bitIndex0) | (~v100(constB106)))),
% 34.19/22.79 inference(transitivity,[status(thm)],[16674, 16672])).
% 34.19/22.79 tff(16676,plain,
% 34.19/22.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~v100(constB106)) | v129(constB106, bitIndex0))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16677,plain,
% 34.19/22.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | v129(constB106, bitIndex0) | (~v100(constB106))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16676, 16675])).
% 34.19/22.79 tff(16678,plain,
% 34.19/22.79 (v129(constB106, bitIndex0) | (~v100(constB106))),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16677, 1215, 16670])).
% 34.19/22.79 tff(16679,plain,
% 34.19/22.79 (v129(constB106, bitIndex0)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16678, 16671])).
% 34.19/22.79 tff(16680,plain,
% 34.19/22.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex0) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex0) | (~v129(constB106, bitIndex0)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16681,plain,
% 34.19/22.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex0) | (~v129(constB106, bitIndex0)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16682,plain,
% 34.19/22.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex0) | (~v129(constB106, bitIndex0))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16681, 16680])).
% 34.19/22.79 tff(16683,plain,
% 34.19/22.79 (v127(constB105, bitIndex0) | (~v129(constB106, bitIndex0))),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16682, 1200, 15224])).
% 34.19/22.79 tff(16684,plain,
% 34.19/22.79 (v127(constB105, bitIndex0)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16683, 16679])).
% 34.19/22.79 tff(16685,plain,
% 34.19/22.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB105, bitIndex0)) | v26(constB105) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB105, bitIndex0)) | v26(constB105) | v130(constB105, bitIndex0))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16686,plain,
% 34.19/22.79 ((v26(constB105) | v130(constB105, bitIndex0) | (~v127(constB105, bitIndex0))) <=> ((~v127(constB105, bitIndex0)) | v26(constB105) | v130(constB105, bitIndex0))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16687,plain,
% 34.19/22.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB105) | v130(constB105, bitIndex0) | (~v127(constB105, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB105, bitIndex0)) | v26(constB105) | v130(constB105, bitIndex0)))),
% 34.19/22.79 inference(monotonicity,[status(thm)],[16686])).
% 34.19/22.79 tff(16688,plain,
% 34.19/22.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB105) | v130(constB105, bitIndex0) | (~v127(constB105, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB105, bitIndex0)) | v26(constB105) | v130(constB105, bitIndex0))),
% 34.19/22.79 inference(transitivity,[status(thm)],[16687, 16685])).
% 34.19/22.79 tff(16689,plain,
% 34.19/22.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB105) | v130(constB105, bitIndex0) | (~v127(constB105, bitIndex0)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16690,plain,
% 34.19/22.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB105, bitIndex0)) | v26(constB105) | v130(constB105, bitIndex0)),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16689, 16688])).
% 34.19/22.79 tff(16691,plain,
% 34.19/22.79 ((~v127(constB105, bitIndex0)) | v130(constB105, bitIndex0)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16690, 1182, 15216])).
% 34.19/22.79 tff(16692,plain,
% 34.19/22.79 (v130(constB105, bitIndex0)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16691, 16684])).
% 34.19/22.79 tff(16693,plain,
% 34.19/22.79 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB105)) | (~v130(constB105, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB105)) | (~v130(constB105, bitIndex0)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16694,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB105)) | (~v130(constB105, bitIndex0)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16695,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB105)) | (~v130(constB105, bitIndex0))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16694, 16693])).
% 34.19/22.79 tff(16696,plain,
% 34.19/22.79 (~v120(constB105)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16695, 1168, 16692])).
% 34.19/22.79 tff(16697,plain,
% 34.19/22.79 (v129(constB106, bitIndex1) | (~v100(constB106))),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15813, 814, 16651])).
% 34.19/22.79 tff(16698,plain,
% 34.19/22.79 (v129(constB106, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16697, 16671])).
% 34.19/22.79 tff(16699,plain,
% 34.19/22.79 (v127(constB105, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15806, 16698])).
% 34.19/22.79 tff(16700,plain,
% 34.19/22.79 (v130(constB105, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15801, 16699])).
% 34.19/22.79 tff(16701,plain,
% 34.19/22.79 (v90(constB108, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15990, 16650, 15885])).
% 34.19/22.79 tff(16702,assumption,(v122(constB105)), introduced(assumption)).
% 34.19/22.79 tff(16703,plain,
% 34.19/22.79 (v116(constB105)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15297, 1497, 16702])).
% 34.19/22.79 tff(16704,plain,
% 34.19/22.79 (v115(constB105)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15293, 520, 16703])).
% 34.19/22.79 tff(16705,plain,
% 34.19/22.79 (v114(constB105)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15289, 531, 16704])).
% 34.19/22.79 tff(16706,plain,
% 34.19/22.79 (v113(constB105)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15285, 542, 16705])).
% 34.19/22.79 tff(16707,plain,
% 34.19/22.79 (v112(constB105)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15281, 16706])).
% 34.19/22.79 tff(16708,plain,
% 34.19/22.79 (v108(constB105)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15273, 568, 16707])).
% 34.19/22.79 tff(16709,plain,
% 34.19/22.79 (v110(constB106)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15269, 16708])).
% 34.19/22.79 tff(16710,plain,
% 34.19/22.79 (v100(constB106)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15261, 16709])).
% 34.19/22.79 tff(16711,plain,
% 34.19/22.79 (v130(constB105, bitIndex2)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16445, 1578, 16702])).
% 34.19/22.79 tff(16712,plain,
% 34.19/22.79 (v127(constB105, bitIndex2)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15220, 16711])).
% 34.19/22.79 tff(16713,plain,
% 34.19/22.79 (v129(constB106, bitIndex2)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15228, 16712])).
% 34.19/22.79 tff(16714,plain,
% 34.19/22.79 (v90(constB106, bitIndex2) | (~v100(constB106))),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15761, 1622, 16713])).
% 34.19/22.79 tff(16715,plain,
% 34.19/22.79 (v90(constB106, bitIndex2)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16714, 16710])).
% 34.19/22.79 tff(16716,plain,
% 34.19/22.79 (v90(constB107, bitIndex2)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15789, 16715])).
% 34.19/22.79 tff(16717,plain,
% 34.19/22.79 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB105)) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB105)) | (~v130(constB105, bitIndex1)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16718,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB105)) | (~v130(constB105, bitIndex1)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16719,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB105)) | (~v130(constB105, bitIndex1))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16718, 16717])).
% 34.19/22.79 tff(16720,plain,
% 34.19/22.79 (~v130(constB105, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16719, 1677, 16702])).
% 34.19/22.79 tff(16721,plain,
% 34.19/22.79 (~v127(constB105, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15801, 16720])).
% 34.19/22.79 tff(16722,plain,
% 34.19/22.79 (~v129(constB106, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15806, 16721])).
% 34.19/22.79 tff(16723,plain,
% 34.19/22.79 ((~v90(constB106, bitIndex1)) | (~v100(constB106))),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15813, 814, 16722])).
% 34.19/22.79 tff(16724,plain,
% 34.19/22.79 (~v90(constB106, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16723, 16710])).
% 34.19/22.79 tff(16725,plain,
% 34.19/22.79 (~v90(constB107, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15823, 16724])).
% 34.19/22.79 tff(16726,plain,
% 34.19/22.79 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB105)) | (~v130(constB105, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB105)) | (~v130(constB105, bitIndex0)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16727,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB105)) | (~v130(constB105, bitIndex0)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16728,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB105)) | (~v130(constB105, bitIndex0))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16727, 16726])).
% 34.19/22.79 tff(16729,plain,
% 34.19/22.79 (~v130(constB105, bitIndex0)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16728, 1721, 16702])).
% 34.19/22.79 tff(16730,plain,
% 34.19/22.79 (~v127(constB105, bitIndex0)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16691, 16729])).
% 34.19/22.79 tff(16731,plain,
% 34.19/22.79 (~v129(constB106, bitIndex0)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16683, 16730])).
% 34.19/22.79 tff(16732,plain,
% 34.19/22.79 ((~v90(constB106, bitIndex0)) | (~v100(constB106))),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16677, 1215, 16731])).
% 34.19/22.79 tff(16733,plain,
% 34.19/22.79 (~v90(constB106, bitIndex0)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16732, 16710])).
% 34.19/22.79 tff(16734,plain,
% 34.19/22.79 (~v90(constB107, bitIndex0)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16669, 16733])).
% 34.19/22.79 tff(16735,plain,
% 34.19/22.79 (v123(constB107)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16569, 1765, 16734, 16725, 16716])).
% 34.19/22.79 tff(16736,plain,
% 34.19/22.79 (v100(constB108)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16596, 16725, 16598])).
% 34.19/22.79 tff(16737,plain,
% 34.19/22.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | v129(constB108, bitIndex1) | (~v100(constB108)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | v129(constB108, bitIndex1) | (~v100(constB108)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16738,plain,
% 34.19/22.79 (((~v90(constB108, bitIndex1)) | (~v100(constB108)) | v129(constB108, bitIndex1)) <=> ((~v90(constB108, bitIndex1)) | v129(constB108, bitIndex1) | (~v100(constB108)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16739,plain,
% 34.19/22.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~v100(constB108)) | v129(constB108, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | v129(constB108, bitIndex1) | (~v100(constB108))))),
% 34.19/22.79 inference(monotonicity,[status(thm)],[16738])).
% 34.19/22.79 tff(16740,plain,
% 34.19/22.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~v100(constB108)) | v129(constB108, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | v129(constB108, bitIndex1) | (~v100(constB108)))),
% 34.19/22.79 inference(transitivity,[status(thm)],[16739, 16737])).
% 34.19/22.79 tff(16741,plain,
% 34.19/22.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~v100(constB108)) | v129(constB108, bitIndex1))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16742,plain,
% 34.19/22.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | v129(constB108, bitIndex1) | (~v100(constB108))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16741, 16740])).
% 34.19/22.79 tff(16743,plain,
% 34.19/22.79 (v129(constB108, bitIndex1) | (~v100(constB108))),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16742, 814, 16598])).
% 34.19/22.79 tff(16744,plain,
% 34.19/22.79 (v129(constB108, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16743, 16736])).
% 34.19/22.79 tff(16745,plain,
% 34.19/22.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex1) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex1) | (~v129(constB108, bitIndex1)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16746,plain,
% 34.19/22.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex1) | (~v129(constB108, bitIndex1)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16747,plain,
% 34.19/22.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex1) | (~v129(constB108, bitIndex1))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16746, 16745])).
% 34.19/22.79 tff(16748,plain,
% 34.19/22.79 (v127(constB107, bitIndex1) | (~v129(constB108, bitIndex1))),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16747, 799, 15875])).
% 34.19/22.79 tff(16749,plain,
% 34.19/22.79 (v127(constB107, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16748, 16744])).
% 34.19/22.79 tff(16750,plain,
% 34.19/22.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB107, bitIndex1)) | v26(constB107) | v130(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB107, bitIndex1)) | v26(constB107) | v130(constB107, bitIndex1))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16751,plain,
% 34.19/22.79 ((v26(constB107) | v130(constB107, bitIndex1) | (~v127(constB107, bitIndex1))) <=> ((~v127(constB107, bitIndex1)) | v26(constB107) | v130(constB107, bitIndex1))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16752,plain,
% 34.19/22.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB107) | v130(constB107, bitIndex1) | (~v127(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB107, bitIndex1)) | v26(constB107) | v130(constB107, bitIndex1)))),
% 34.19/22.79 inference(monotonicity,[status(thm)],[16751])).
% 34.19/22.79 tff(16753,plain,
% 34.19/22.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB107) | v130(constB107, bitIndex1) | (~v127(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB107, bitIndex1)) | v26(constB107) | v130(constB107, bitIndex1))),
% 34.19/22.79 inference(transitivity,[status(thm)],[16752, 16750])).
% 34.19/22.79 tff(16754,plain,
% 34.19/22.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB107) | v130(constB107, bitIndex1) | (~v127(constB107, bitIndex1)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16755,plain,
% 34.19/22.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB107, bitIndex1)) | v26(constB107) | v130(constB107, bitIndex1)),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16754, 16753])).
% 34.19/22.79 tff(16756,plain,
% 34.19/22.79 ((~v127(constB107, bitIndex1)) | v130(constB107, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16755, 781, 15867])).
% 34.19/22.79 tff(16757,plain,
% 34.19/22.79 (v130(constB107, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16756, 16749])).
% 34.19/22.79 tff(16758,plain,
% 34.19/22.79 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB107)) | (~v130(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB107)) | (~v130(constB107, bitIndex1)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16759,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB107)) | (~v130(constB107, bitIndex1)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16760,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB107)) | (~v130(constB107, bitIndex1))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16759, 16758])).
% 34.19/22.79 tff(16761,plain,
% 34.19/22.79 ($false),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16760, 1909, 16757, 16735])).
% 34.19/22.79 tff(16762,plain,((~v122(constB105)) | (~v90(constB108, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 34.19/22.79 tff(16763,plain,
% 34.19/22.79 (~v122(constB105)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16762, 16701])).
% 34.19/22.79 tff(16764,plain,
% 34.19/22.79 (~v119(constB105)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16406, 16638])).
% 34.19/22.79 tff(16765,plain,
% 34.19/22.79 (~v123(constB105)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15793, 1909, 16700])).
% 34.19/22.79 tff(16766,plain,
% 34.19/22.79 (v129(constB106, bitIndex2) | (~v100(constB106))),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16367, 722, 16661])).
% 34.19/22.79 tff(16767,plain,
% 34.19/22.79 (v129(constB106, bitIndex2)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16766, 16671])).
% 34.19/22.79 tff(16768,plain,
% 34.19/22.79 (v127(constB105, bitIndex2)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16360, 16767])).
% 34.19/22.79 tff(16769,plain,
% 34.19/22.79 (v130(constB105, bitIndex2)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16355, 16768])).
% 34.19/22.79 tff(16770,plain,
% 34.19/22.79 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB105)) | (~v130(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB105)) | (~v130(constB105, bitIndex2)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16771,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB105)) | (~v130(constB105, bitIndex2)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16772,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB105)) | (~v130(constB105, bitIndex2))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16771, 16770])).
% 34.19/22.79 tff(16773,plain,
% 34.19/22.79 (~v121(constB105)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16772, 1342, 16769])).
% 34.19/22.79 tff(16774,plain,
% 34.19/22.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex1)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16775,plain,
% 34.19/22.79 ((v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1))) <=> (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex1)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16776,plain,
% 34.19/22.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex1))))),
% 34.19/22.79 inference(monotonicity,[status(thm)],[16775])).
% 34.19/22.79 tff(16777,plain,
% 34.19/22.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex1)))),
% 34.19/22.79 inference(transitivity,[status(thm)],[16776, 16774])).
% 34.19/22.79 tff(16778,plain,
% 34.19/22.79 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16779,plain,
% 34.19/22.79 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex1))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16778, 16777])).
% 34.19/22.79 tff(16780,plain,
% 34.19/22.79 (v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~v130(constB105, bitIndex1))),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16779, 2448, 16410])).
% 34.19/22.79 tff(16781,plain,
% 34.19/22.79 ($false),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16780, 16773, 16765, 16764, 16763, 16700, 16696])).
% 34.19/22.79 tff(16782,plain,(v100(constB108) | v124(constB105) | v90(constB99, bitIndex2) | v130(constB99, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 34.19/22.79 tff(16783,plain,
% 34.19/22.79 (v100(constB108)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16782, 15884, 14295, 14508])).
% 34.19/22.79 tff(16784,plain,
% 34.19/22.79 (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1))),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16289, 1131, 16783])).
% 34.19/22.79 tff(16785,plain,
% 34.19/22.79 (v90(constB108, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16784, 15880])).
% 34.19/22.79 tff(16786,plain,
% 34.19/22.79 (v90(constB109, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[15982, 16785])).
% 34.19/22.79 tff(16787,plain,
% 34.19/22.79 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB109)) | (~v90(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB109)) | (~v90(constB109, bitIndex1)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16788,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB109)) | (~v90(constB109, bitIndex1)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16789,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB109)) | (~v90(constB109, bitIndex1))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16788, 16787])).
% 34.19/22.79 tff(16790,plain,
% 34.19/22.79 (~v119(constB109)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16789, 2230, 16786])).
% 34.19/22.79 tff(16791,plain,
% 34.19/22.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v120(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v120(constB109)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16792,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v120(constB109)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16793,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v120(constB109))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16792, 16791])).
% 34.19/22.79 tff(16794,plain,
% 34.19/22.79 (~v120(constB109)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16793, 2183, 16786])).
% 34.19/22.79 tff(16795,plain,
% 34.19/22.79 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB107)) | v130(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB107)) | v130(constB107, bitIndex2))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16796,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB107)) | v130(constB107, bitIndex2))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16797,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB107)) | v130(constB107, bitIndex2)),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16796, 16795])).
% 34.19/22.79 tff(16798,plain,
% 34.19/22.79 (v130(constB107, bitIndex2)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16797, 2075, 15859])).
% 34.19/22.79 tff(16799,plain,
% 34.19/22.79 (v127(constB107, bitIndex2)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16500, 16798])).
% 34.19/22.79 tff(16800,plain,
% 34.19/22.79 (v129(constB108, bitIndex2)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16495, 16799])).
% 34.19/22.79 tff(16801,plain,
% 34.19/22.79 (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2))),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16489, 1622, 16783])).
% 34.19/22.79 tff(16802,plain,
% 34.19/22.79 (v90(constB108, bitIndex2)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16801, 16800])).
% 34.19/22.79 tff(16803,plain,
% 34.19/22.79 (v90(constB109, bitIndex2)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16422, 16802])).
% 34.19/22.79 tff(16804,plain,
% 34.19/22.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v121(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v121(constB109)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16805,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v121(constB109)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16806,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v121(constB109))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16805, 16804])).
% 34.19/22.79 tff(16807,plain,
% 34.19/22.79 (~v121(constB109)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16806, 2216, 16803])).
% 34.19/22.79 tff(16808,plain,
% 34.19/22.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v123(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v123(constB109)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16809,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v123(constB109)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16810,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v123(constB109))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16809, 16808])).
% 34.19/22.79 tff(16811,plain,
% 34.19/22.79 (~v123(constB109)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16810, 2194, 16786])).
% 34.19/22.79 tff(16812,plain,
% 34.19/22.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v122(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v122(constB109)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16813,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v122(constB109)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16814,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v122(constB109))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16813, 16812])).
% 34.19/22.79 tff(16815,plain,
% 34.19/22.79 (~v122(constB109)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16814, 2131, 16803])).
% 34.19/22.79 tff(16816,plain,
% 34.19/22.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v124(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v124(constB109)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16817,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v124(constB109)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16818,plain,
% 34.19/22.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v124(constB109))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16817, 16816])).
% 34.19/22.79 tff(16819,plain,
% 34.19/22.79 (~v124(constB109)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16818, 2205, 16786])).
% 34.19/22.79 tff(16820,plain,
% 34.19/22.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | (~v130(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | (~v130(constB109, bitIndex1)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16821,plain,
% 34.19/22.79 ((v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1))) <=> (v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | (~v130(constB109, bitIndex1)))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16822,plain,
% 34.19/22.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | (~v130(constB109, bitIndex1))))),
% 34.19/22.79 inference(monotonicity,[status(thm)],[16821])).
% 34.19/22.79 tff(16823,plain,
% 34.19/22.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | (~v130(constB109, bitIndex1)))),
% 34.19/22.79 inference(transitivity,[status(thm)],[16822, 16820])).
% 34.19/22.79 tff(16824,plain,
% 34.19/22.79 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16825,plain,
% 34.19/22.79 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | (~v130(constB109, bitIndex1))),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16824, 16823])).
% 34.19/22.79 tff(16826,plain,
% 34.19/22.79 (~v130(constB109, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16825, 2448, 16819, 16815, 16811, 16807, 16794, 16790])).
% 34.19/22.79 tff(16827,assumption,(v26(constB109)), introduced(assumption)).
% 34.19/22.79 tff(16828,plain,
% 34.19/22.79 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB109))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16829,plain,
% 34.19/22.79 ($false),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16828, 120, 16827])).
% 34.19/22.79 tff(16830,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 34.19/22.79 tff(16831,plain,
% 34.19/22.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16832,plain,
% 34.19/22.79 ((v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1))) <=> ((~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16833,plain,
% 34.19/22.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1)))),
% 34.19/22.79 inference(monotonicity,[status(thm)],[16832])).
% 34.19/22.79 tff(16834,plain,
% 34.19/22.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))),
% 34.19/22.79 inference(transitivity,[status(thm)],[16833, 16831])).
% 34.19/22.79 tff(16835,plain,
% 34.19/22.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1)))),
% 34.19/22.79 inference(quant_inst,[status(thm)],[])).
% 34.19/22.79 tff(16836,plain,
% 34.19/22.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1)),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16835, 16834])).
% 34.19/22.79 tff(16837,plain,
% 34.19/22.79 ((~v127(constB109, bitIndex1)) | v130(constB109, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16836, 781, 16830])).
% 34.19/22.79 tff(16838,plain,
% 34.19/22.79 (~v127(constB109, bitIndex1)),
% 34.19/22.79 inference(unit_resolution,[status(thm)],[16837, 16826])).
% 34.19/22.79 tff(16839,plain,
% 34.19/22.79 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 34.19/22.79 inference(rewrite,[status(thm)],[])).
% 34.19/22.79 tff(16840,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 34.19/22.79 tff(16841,plain,
% 34.19/22.79 (nextState(constB109, constB110)),
% 34.19/22.79 inference(modus_ponens,[status(thm)],[16840, 16839])).
% 34.19/22.79 tff(16842,plain,
% 34.19/22.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1)))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16843,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1)))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16844,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1))),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16843, 16842])).
% 34.19/22.80 tff(16845,plain,
% 34.19/22.80 (v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1))),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16844, 799, 16841])).
% 34.19/22.80 tff(16846,plain,
% 34.19/22.80 (~v129(constB110, bitIndex1)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16845, 16838])).
% 34.19/22.80 tff(16847,assumption,(~v100(constB110)), introduced(assumption)).
% 34.19/22.80 tff(16848,assumption,(~v90(constB110, bitIndex1)), introduced(assumption)).
% 34.19/22.80 tff(16849,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB109, bitIndex1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB109, bitIndex1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex1))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16850,plain,
% 34.19/22.80 (((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex1)) | v100(constB110) | v90(constB110, bitIndex1)) <=> ((~v90(constB109, bitIndex1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex1))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16851,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex1)) | v100(constB110) | v90(constB110, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB109, bitIndex1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex1)))),
% 34.19/22.80 inference(monotonicity,[status(thm)],[16850])).
% 34.19/22.80 tff(16852,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex1)) | v100(constB110) | v90(constB110, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB109, bitIndex1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex1))),
% 34.19/22.80 inference(transitivity,[status(thm)],[16851, 16849])).
% 34.19/22.80 tff(16853,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex1)) | v100(constB110) | v90(constB110, bitIndex1))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16854,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB109, bitIndex1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex1)),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16853, 16852])).
% 34.19/22.80 tff(16855,plain,
% 34.19/22.80 ((~v90(constB109, bitIndex1)) | v100(constB110) | v90(constB110, bitIndex1)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16854, 1149, 16841])).
% 34.19/22.80 tff(16856,plain,
% 34.19/22.80 (~v90(constB109, bitIndex1)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16855, 16848, 16847])).
% 34.19/22.80 tff(16857,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16858,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16859,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110))),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16858, 16857])).
% 34.19/22.80 tff(16860,plain,
% 34.19/22.80 (~v104(constB110)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16859, 603, 16841, 15897])).
% 34.19/22.80 tff(16861,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16862,plain,
% 34.19/22.80 (((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110)) <=> ((~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16863,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v102(constB110)))),
% 34.19/22.80 inference(monotonicity,[status(thm)],[16862])).
% 34.19/22.80 tff(16864,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))),
% 34.19/22.80 inference(transitivity,[status(thm)],[16863, 16861])).
% 34.19/22.80 tff(16865,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16866,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | v102(constB110)),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16865, 16864])).
% 34.19/22.80 tff(16867,plain,
% 34.19/22.80 (v104(constB110) | v102(constB110)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16866, 617, 16841])).
% 34.19/22.80 tff(16868,plain,
% 34.19/22.80 (v102(constB110)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16867, 16860])).
% 34.19/22.80 tff(16869,plain,
% 34.19/22.80 (v1(constB110) <=> v1(constB110)),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16870,axiom,(v1(constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 34.19/22.80 tff(16871,plain,
% 34.19/22.80 (v1(constB110)),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16870, 16869])).
% 34.19/22.80 tff(16872,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16873,plain,
% 34.19/22.80 (((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110))) <=> ((~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16874,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110))))),
% 34.19/22.80 inference(monotonicity,[status(thm)],[16873])).
% 34.19/22.80 tff(16875,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))),
% 34.19/22.80 inference(transitivity,[status(thm)],[16874, 16872])).
% 34.19/22.80 tff(16876,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16877,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110))),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16876, 16875])).
% 34.19/22.80 tff(16878,plain,
% 34.19/22.80 (v101(constB110) | (~v102(constB110))),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16877, 638, 16841, 16871])).
% 34.19/22.80 tff(16879,plain,
% 34.19/22.80 (v101(constB110)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16878, 16868])).
% 34.19/22.80 tff(16880,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16881,plain,
% 34.19/22.80 (((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110)) <=> ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16882,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))))),
% 34.19/22.80 inference(monotonicity,[status(thm)],[16881])).
% 34.19/22.80 tff(16883,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 34.19/22.80 inference(transitivity,[status(thm)],[16882, 16880])).
% 34.19/22.80 tff(16884,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16885,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16884, 16883])).
% 34.19/22.80 tff(16886,plain,
% 34.19/22.80 (v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16885, 656, 16841])).
% 34.19/22.80 tff(16887,plain,
% 34.19/22.80 (v100(constB110) | (~v110(constB110))),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16886, 16879])).
% 34.19/22.80 tff(16888,plain,
% 34.19/22.80 (~v110(constB110)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16887, 16847])).
% 34.19/22.80 tff(16889,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16890,plain,
% 34.19/22.80 (((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110)) <=> ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16891,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))))),
% 34.19/22.80 inference(monotonicity,[status(thm)],[16890])).
% 34.19/22.80 tff(16892,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 34.19/22.80 inference(transitivity,[status(thm)],[16891, 16889])).
% 34.19/22.80 tff(16893,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16894,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16893, 16892])).
% 34.19/22.80 tff(16895,plain,
% 34.19/22.80 (v110(constB110) | (~v108(constB109))),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16894, 585, 16841])).
% 34.19/22.80 tff(16896,plain,
% 34.19/22.80 (~v108(constB109)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16895, 16888])).
% 34.19/22.80 tff(16897,plain,
% 34.19/22.80 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB109) | (~v112(constB109)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB109) | (~v112(constB109)))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16898,plain,
% 34.19/22.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB109) | (~v112(constB109)))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16899,plain,
% 34.19/22.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB109) | (~v112(constB109))),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16898, 16897])).
% 34.19/22.80 tff(16900,plain,
% 34.19/22.80 (~v112(constB109)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16899, 568, 16896])).
% 34.19/22.80 tff(16901,plain,
% 34.19/22.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16902,plain,
% 34.19/22.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16903,plain,
% 34.19/22.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | (~v113(constB109)) | v112(constB109)),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16902, 16901])).
% 34.19/22.80 tff(16904,plain,
% 34.19/22.80 ((~v113(constB109)) | v112(constB109)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16903, 556, 16830])).
% 34.19/22.80 tff(16905,plain,
% 34.19/22.80 (~v113(constB109)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16904, 16900])).
% 34.19/22.80 tff(16906,plain,
% 34.19/22.80 (~v114(constB109)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[15973, 542, 16905])).
% 34.19/22.80 tff(16907,plain,
% 34.19/22.80 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB109) | (~v124(constB109)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB109) | (~v124(constB109)))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16908,plain,
% 34.19/22.80 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB109) | (~v124(constB109)))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16909,plain,
% 34.19/22.80 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB109) | (~v124(constB109))),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16908, 16907])).
% 34.19/22.80 tff(16910,plain,
% 34.19/22.80 (~v124(constB109)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16909, 2005, 16906])).
% 34.19/22.80 tff(16911,assumption,(~v90(constB110, bitIndex2)), introduced(assumption)).
% 34.19/22.80 tff(16912,plain,
% 34.19/22.80 (~v115(constB109)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[15969, 531, 16906])).
% 34.19/22.80 tff(16913,plain,
% 34.19/22.80 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB109) | (~v123(constB109)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB109) | (~v123(constB109)))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16914,plain,
% 34.19/22.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB109) | (~v123(constB109)))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16915,plain,
% 34.19/22.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB109) | (~v123(constB109))),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16914, 16913])).
% 34.19/22.80 tff(16916,plain,
% 34.19/22.80 (~v123(constB109)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16915, 1776, 16912])).
% 34.19/22.80 tff(16917,plain,
% 34.19/22.80 (~v116(constB109)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[15965, 520, 16912])).
% 34.19/22.80 tff(16918,plain,
% 34.19/22.80 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB109) | (~v122(constB109)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB109) | (~v122(constB109)))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16919,plain,
% 34.19/22.80 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB109) | (~v122(constB109)))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16920,plain,
% 34.19/22.80 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB109) | (~v122(constB109))),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16919, 16918])).
% 34.19/22.80 tff(16921,plain,
% 34.19/22.80 (~v122(constB109)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16920, 1497, 16917])).
% 34.19/22.80 tff(16922,assumption,(~v90(constB110, bitIndex0)), introduced(assumption)).
% 34.19/22.80 tff(16923,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB109, bitIndex2)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB109, bitIndex2)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex2))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16924,plain,
% 34.19/22.80 (((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex2)) | v100(constB110) | v90(constB110, bitIndex2)) <=> ((~v90(constB109, bitIndex2)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex2))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16925,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex2)) | v100(constB110) | v90(constB110, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB109, bitIndex2)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex2)))),
% 34.19/22.80 inference(monotonicity,[status(thm)],[16924])).
% 34.19/22.80 tff(16926,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex2)) | v100(constB110) | v90(constB110, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB109, bitIndex2)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex2))),
% 34.19/22.80 inference(transitivity,[status(thm)],[16925, 16923])).
% 34.19/22.80 tff(16927,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex2)) | v100(constB110) | v90(constB110, bitIndex2))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16928,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB109, bitIndex2)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex2)),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16927, 16926])).
% 34.19/22.80 tff(16929,plain,
% 34.19/22.80 ((~v90(constB109, bitIndex2)) | v100(constB110) | v90(constB110, bitIndex2)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16928, 1658, 16841])).
% 34.19/22.80 tff(16930,plain,
% 34.19/22.80 (~v90(constB109, bitIndex2)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16929, 16847, 16911])).
% 34.19/22.80 tff(16931,plain,
% 34.19/22.80 (~v90(constB109, bitIndex1)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16855, 16847, 16848])).
% 34.19/22.80 tff(16932,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB109, bitIndex0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB109, bitIndex0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex0))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16933,plain,
% 34.19/22.80 (((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex0)) | v100(constB110) | v90(constB110, bitIndex0)) <=> ((~v90(constB109, bitIndex0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex0))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16934,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex0)) | v100(constB110) | v90(constB110, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB109, bitIndex0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex0)))),
% 34.19/22.80 inference(monotonicity,[status(thm)],[16933])).
% 34.19/22.80 tff(16935,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex0)) | v100(constB110) | v90(constB110, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB109, bitIndex0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex0))),
% 34.19/22.80 inference(transitivity,[status(thm)],[16934, 16932])).
% 34.19/22.80 tff(16936,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex0)) | v100(constB110) | v90(constB110, bitIndex0))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16937,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB109, bitIndex0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex0)),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16936, 16935])).
% 34.19/22.80 tff(16938,plain,
% 34.19/22.80 ((~v90(constB109, bitIndex0)) | v100(constB110) | v90(constB110, bitIndex0)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16937, 903, 16841])).
% 34.19/22.80 tff(16939,plain,
% 34.19/22.80 (~v90(constB109, bitIndex0)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16938, 16847, 16922])).
% 34.19/22.80 tff(16940,plain,
% 34.19/22.80 (v119(constB109)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[15948, 476, 16939, 16931, 16930])).
% 34.19/22.80 tff(16941,plain,
% 34.19/22.80 (v118(constB109)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[15953, 487, 16940])).
% 34.19/22.80 tff(16942,plain,
% 34.19/22.80 (v117(constB109)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[15957, 498, 16941])).
% 34.19/22.80 tff(16943,plain,
% 34.19/22.80 (v116(constB109)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[15961, 509, 16942])).
% 34.19/22.80 tff(16944,plain,
% 34.19/22.80 ($false),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[15965, 520, 16943, 16912])).
% 34.19/22.80 tff(16945,plain,(v100(constB110) | v90(constB110, bitIndex2) | v90(constB110, bitIndex1) | v90(constB110, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.19/22.80 tff(16946,plain,
% 34.19/22.80 (v100(constB110)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16945, 16922, 16848, 16911])).
% 34.19/22.80 tff(16947,plain,
% 34.19/22.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16948,plain,
% 34.19/22.80 ((v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1))) <=> (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16949,plain,
% 34.19/22.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110))))),
% 34.19/22.80 inference(monotonicity,[status(thm)],[16948])).
% 34.19/22.80 tff(16950,plain,
% 34.19/22.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 34.19/22.80 inference(transitivity,[status(thm)],[16949, 16947])).
% 34.19/22.80 tff(16951,plain,
% 34.19/22.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16952,plain,
% 34.19/22.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110))),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16951, 16950])).
% 34.19/22.80 tff(16953,plain,
% 34.19/22.80 ((~v129(constB110, bitIndex1)) | (~v100(constB110))),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16952, 1131, 16848])).
% 34.19/22.80 tff(16954,plain,
% 34.19/22.80 (~v129(constB110, bitIndex1)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16953, 16946])).
% 34.19/22.80 tff(16955,plain,
% 34.19/22.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16956,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16957,plain,
% 34.19/22.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1)),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16956, 16955])).
% 34.19/22.80 tff(16958,plain,
% 34.19/22.80 ((~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16957, 1116, 16841])).
% 34.19/22.80 tff(16959,plain,
% 34.19/22.80 (~v127(constB109, bitIndex1)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16958, 16954])).
% 34.19/22.80 tff(16960,plain,
% 34.19/22.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16961,plain,
% 34.19/22.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16962,plain,
% 34.19/22.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1)),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16961, 16960])).
% 34.19/22.80 tff(16963,plain,
% 34.19/22.80 ((~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16962, 1101, 16830])).
% 34.19/22.80 tff(16964,plain,
% 34.19/22.80 (~v130(constB109, bitIndex1)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16963, 16959])).
% 34.19/22.80 tff(16965,plain,
% 34.19/22.80 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB109)) | v130(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB109)) | v130(constB109, bitIndex1))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16966,plain,
% 34.19/22.80 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB109)) | v130(constB109, bitIndex1))),
% 34.19/22.80 inference(quant_inst,[status(thm)],[])).
% 34.19/22.80 tff(16967,plain,
% 34.19/22.80 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB109)) | v130(constB109, bitIndex1)),
% 34.19/22.80 inference(modus_ponens,[status(thm)],[16966, 16965])).
% 34.19/22.80 tff(16968,plain,
% 34.19/22.80 (~v120(constB109)),
% 34.19/22.80 inference(unit_resolution,[status(thm)],[16967, 1087, 16964])).
% 34.19/22.80 tff(16969,plain,
% 34.19/22.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 34.19/22.80 inference(rewrite,[status(thm)],[])).
% 34.19/22.80 tff(16970,plain,
% 34.19/22.80 ((v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0))) <=> (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 34.19/22.81 inference(rewrite,[status(thm)],[])).
% 34.19/22.81 tff(16971,plain,
% 34.19/22.81 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))))),
% 34.19/22.81 inference(monotonicity,[status(thm)],[16970])).
% 34.19/22.81 tff(16972,plain,
% 34.19/22.81 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 34.19/22.81 inference(transitivity,[status(thm)],[16971, 16969])).
% 34.19/22.81 tff(16973,plain,
% 34.19/22.81 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))),
% 34.19/22.81 inference(quant_inst,[status(thm)],[])).
% 34.19/22.81 tff(16974,plain,
% 34.19/22.81 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))),
% 34.19/22.81 inference(modus_ponens,[status(thm)],[16973, 16972])).
% 34.19/22.81 tff(16975,plain,
% 34.19/22.81 ((~v129(constB110, bitIndex0)) | (~v100(constB110))),
% 34.19/22.81 inference(unit_resolution,[status(thm)],[16974, 885, 16922])).
% 34.19/22.81 tff(16976,plain,
% 34.19/22.81 (~v129(constB110, bitIndex0)),
% 34.19/22.81 inference(unit_resolution,[status(thm)],[16975, 16946])).
% 34.19/22.81 tff(16977,plain,
% 34.19/22.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 34.19/22.81 inference(rewrite,[status(thm)],[])).
% 34.19/22.81 tff(16978,plain,
% 34.19/22.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 34.19/22.81 inference(quant_inst,[status(thm)],[])).
% 34.19/22.81 tff(16979,plain,
% 34.19/22.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 34.19/22.81 inference(modus_ponens,[status(thm)],[16978, 16977])).
% 34.19/22.81 tff(16980,plain,
% 34.19/22.81 ((~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 34.19/22.81 inference(unit_resolution,[status(thm)],[16979, 870, 16841])).
% 34.19/22.81 tff(16981,plain,
% 34.19/22.81 (~v127(constB109, bitIndex0)),
% 34.19/22.81 inference(unit_resolution,[status(thm)],[16980, 16976])).
% 34.19/22.81 tff(16982,plain,
% 34.19/22.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 34.19/22.81 inference(rewrite,[status(thm)],[])).
% 34.19/22.81 tff(16983,plain,
% 34.19/22.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 34.19/22.81 inference(quant_inst,[status(thm)],[])).
% 34.19/22.81 tff(16984,plain,
% 34.19/22.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 34.19/22.81 inference(modus_ponens,[status(thm)],[16983, 16982])).
% 34.19/22.81 tff(16985,plain,
% 34.19/22.81 ((~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 34.19/22.81 inference(unit_resolution,[status(thm)],[16984, 855, 16830])).
% 34.19/22.81 tff(16986,plain,
% 34.19/22.81 (~v130(constB109, bitIndex0)),
% 34.19/22.81 inference(unit_resolution,[status(thm)],[16985, 16981])).
% 34.19/22.81 tff(16987,plain,
% 34.19/22.81 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB109)) | v130(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB109)) | v130(constB109, bitIndex1))),
% 34.19/22.81 inference(rewrite,[status(thm)],[])).
% 34.19/22.81 tff(16988,plain,
% 34.19/22.81 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB109)) | v130(constB109, bitIndex1))),
% 34.19/22.81 inference(quant_inst,[status(thm)],[])).
% 34.19/22.81 tff(16989,plain,
% 34.19/22.81 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB109)) | v130(constB109, bitIndex1)),
% 34.19/22.81 inference(modus_ponens,[status(thm)],[16988, 16987])).
% 34.19/22.81 tff(16990,plain,
% 34.19/22.81 (~v121(constB109)),
% 34.19/22.81 inference(unit_resolution,[status(thm)],[16989, 1404, 16964])).
% 34.19/22.81 tff(16991,plain,
% 34.19/22.81 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB109)) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB109)) | v130(constB109, bitIndex0))),
% 34.19/22.81 inference(rewrite,[status(thm)],[])).
% 34.19/22.81 tff(16992,plain,
% 34.19/22.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB109)) | v130(constB109, bitIndex0))),
% 34.19/22.81 inference(quant_inst,[status(thm)],[])).
% 34.19/22.81 tff(16993,plain,
% 34.19/22.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB109)) | v130(constB109, bitIndex0)),
% 34.19/22.81 inference(modus_ponens,[status(thm)],[16992, 16991])).
% 34.19/22.81 tff(16994,plain,
% 34.19/22.81 (~v119(constB109)),
% 34.19/22.81 inference(unit_resolution,[status(thm)],[16993, 841, 16986])).
% 34.19/22.81 tff(16995,plain,
% 34.19/22.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | v130(constB109, bitIndex0))),
% 34.19/22.81 inference(rewrite,[status(thm)],[])).
% 34.19/22.81 tff(16996,plain,
% 34.19/22.81 ((v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0)) <=> (v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | v130(constB109, bitIndex0))),
% 34.19/22.81 inference(rewrite,[status(thm)],[])).
% 34.19/22.81 tff(16997,plain,
% 34.19/22.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | v130(constB109, bitIndex0)))),
% 34.19/22.81 inference(monotonicity,[status(thm)],[16996])).
% 34.19/22.81 tff(16998,plain,
% 34.19/22.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | v130(constB109, bitIndex0))),
% 34.22/22.81 inference(transitivity,[status(thm)],[16997, 16995])).
% 34.22/22.81 tff(16999,plain,
% 34.22/22.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0))),
% 34.22/22.81 inference(quant_inst,[status(thm)],[])).
% 34.22/22.81 tff(17000,plain,
% 34.22/22.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | v130(constB109, bitIndex0)),
% 34.22/22.81 inference(modus_ponens,[status(thm)],[16999, 16998])).
% 34.22/22.81 tff(17001,plain,
% 34.22/22.81 (v120(constB109) | v121(constB109) | v119(constB109) | v130(constB109, bitIndex0)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17000, 2495, 16003, 16119, 16004])).
% 34.22/22.81 tff(17002,plain,
% 34.22/22.81 ($false),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17001, 16994, 16990, 16986, 16968])).
% 34.22/22.81 tff(17003,plain,(v90(constB110, bitIndex0) | v124(constB109) | v122(constB109) | v123(constB109) | v90(constB110, bitIndex1) | v90(constB110, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 34.22/22.81 tff(17004,plain,
% 34.22/22.81 (v90(constB110, bitIndex0)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17003, 16911, 16921, 16916, 16848, 16910])).
% 34.22/22.81 tff(17005,assumption,(v90(constB110, bitIndex0)), introduced(assumption)).
% 34.22/22.81 tff(17006,plain,
% 34.22/22.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 34.22/22.81 inference(rewrite,[status(thm)],[])).
% 34.22/22.81 tff(17007,plain,
% 34.22/22.81 (((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0))) <=> (v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 34.22/22.81 inference(rewrite,[status(thm)],[])).
% 34.22/22.81 tff(17008,plain,
% 34.22/22.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0))))),
% 34.22/22.81 inference(monotonicity,[status(thm)],[17007])).
% 34.22/22.81 tff(17009,plain,
% 34.22/22.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 34.22/22.81 inference(transitivity,[status(thm)],[17008, 17006])).
% 34.22/22.81 tff(17010,plain,
% 34.22/22.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 34.22/22.81 inference(quant_inst,[status(thm)],[])).
% 34.22/22.81 tff(17011,plain,
% 34.22/22.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0))),
% 34.22/22.81 inference(modus_ponens,[status(thm)],[17010, 17009])).
% 34.22/22.81 tff(17012,plain,
% 34.22/22.81 (v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0))),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17011, 455, 16841])).
% 34.22/22.81 tff(17013,plain,
% 34.22/22.81 (v90(constB109, bitIndex0)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17012, 16847, 17005])).
% 34.22/22.81 tff(17014,plain,
% 34.22/22.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | v120(constB109))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | v120(constB109))),
% 34.22/22.81 inference(rewrite,[status(thm)],[])).
% 34.22/22.81 tff(17015,plain,
% 34.22/22.81 (((~v90(constB109, bitIndex0)) | v120(constB109) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2)) <=> ((~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | v120(constB109))),
% 34.22/22.81 inference(rewrite,[status(thm)],[])).
% 34.22/22.81 tff(17016,plain,
% 34.22/22.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB109, bitIndex0)) | v120(constB109) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | v120(constB109)))),
% 34.22/22.81 inference(monotonicity,[status(thm)],[17015])).
% 34.22/22.81 tff(17017,plain,
% 34.22/22.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB109, bitIndex0)) | v120(constB109) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | v120(constB109))),
% 34.22/22.81 inference(transitivity,[status(thm)],[17016, 17014])).
% 34.22/22.81 tff(17018,plain,
% 34.22/22.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB109, bitIndex0)) | v120(constB109) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2))),
% 34.22/22.81 inference(quant_inst,[status(thm)],[])).
% 34.22/22.81 tff(17019,plain,
% 34.22/22.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | v120(constB109)),
% 34.22/22.81 inference(modus_ponens,[status(thm)],[17018, 17017])).
% 34.22/22.81 tff(17020,plain,
% 34.22/22.81 (v120(constB109)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17019, 922, 17013, 16931, 16930])).
% 34.22/22.81 tff(17021,plain,
% 34.22/22.81 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB109)) | (~v130(constB109, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB109)) | (~v130(constB109, bitIndex0)))),
% 34.22/22.81 inference(rewrite,[status(thm)],[])).
% 34.22/22.81 tff(17022,plain,
% 34.22/22.81 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB109)) | (~v130(constB109, bitIndex0)))),
% 34.22/22.81 inference(quant_inst,[status(thm)],[])).
% 34.22/22.81 tff(17023,plain,
% 34.22/22.81 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB109)) | (~v130(constB109, bitIndex0))),
% 34.22/22.81 inference(modus_ponens,[status(thm)],[17022, 17021])).
% 34.22/22.81 tff(17024,plain,
% 34.22/22.81 (~v130(constB109, bitIndex0)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17023, 1168, 17020])).
% 34.22/22.81 tff(17025,assumption,(~v116(constB109)), introduced(assumption)).
% 34.22/22.81 tff(17026,plain,
% 34.22/22.81 (~v117(constB109)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[15961, 509, 17025])).
% 34.22/22.81 tff(17027,plain,
% 34.22/22.81 (~v118(constB109)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[15957, 498, 17026])).
% 34.22/22.81 tff(17028,assumption,(~v130(constB109, bitIndex0)), introduced(assumption)).
% 34.22/22.81 tff(17029,plain,
% 34.22/22.81 (~v119(constB109)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[16993, 841, 17028])).
% 34.22/22.81 tff(17030,plain,
% 34.22/22.81 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB109)) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB109)) | v130(constB109, bitIndex0))),
% 34.22/22.81 inference(rewrite,[status(thm)],[])).
% 34.22/22.81 tff(17031,plain,
% 34.22/22.81 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB109)) | v130(constB109, bitIndex0))),
% 34.22/22.81 inference(quant_inst,[status(thm)],[])).
% 34.22/22.81 tff(17032,plain,
% 34.22/22.81 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB109)) | v130(constB109, bitIndex0)),
% 34.22/22.81 inference(modus_ponens,[status(thm)],[17031, 17030])).
% 34.22/22.81 tff(17033,plain,
% 34.22/22.81 (~v121(constB109)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17032, 1445, 17028])).
% 34.22/22.81 tff(17034,plain,
% 34.22/22.81 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB109)) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB109)) | v130(constB109, bitIndex0))),
% 34.22/22.81 inference(rewrite,[status(thm)],[])).
% 34.22/22.81 tff(17035,plain,
% 34.22/22.81 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB109)) | v130(constB109, bitIndex0))),
% 34.22/22.81 inference(quant_inst,[status(thm)],[])).
% 34.22/22.81 tff(17036,plain,
% 34.22/22.81 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB109)) | v130(constB109, bitIndex0)),
% 34.22/22.81 inference(modus_ponens,[status(thm)],[17035, 17034])).
% 34.22/22.81 tff(17037,plain,
% 34.22/22.81 (~v123(constB109)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17036, 1953, 17028])).
% 34.22/22.81 tff(17038,plain,
% 34.22/22.81 (~v122(constB109)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[16920, 1497, 17025])).
% 34.22/22.81 tff(17039,plain,
% 34.22/22.81 (v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17000, 2495, 17028])).
% 34.22/22.81 tff(17040,plain,
% 34.22/22.81 (v120(constB109)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17039, 17038, 17037, 17033, 16003, 17029])).
% 34.22/22.81 tff(17041,plain,
% 34.22/22.81 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB109) | (~v120(constB109)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB109) | (~v120(constB109)))),
% 34.22/22.81 inference(rewrite,[status(thm)],[])).
% 34.22/22.81 tff(17042,plain,
% 34.22/22.81 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB109) | (~v120(constB109)))),
% 34.22/22.81 inference(quant_inst,[status(thm)],[])).
% 34.22/22.81 tff(17043,plain,
% 34.22/22.81 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB109) | (~v120(constB109))),
% 34.22/22.81 inference(modus_ponens,[status(thm)],[17042, 17041])).
% 34.22/22.81 tff(17044,plain,
% 34.22/22.81 ($false),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17043, 936, 17040, 17027])).
% 34.22/22.81 tff(17045,plain,(v116(constB109) | v124(constB109) | v130(constB109, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.22/22.81 tff(17046,plain,
% 34.22/22.81 (v116(constB109)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17045, 17024, 16003])).
% 34.22/22.81 tff(17047,plain,
% 34.22/22.81 ($false),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[15965, 520, 17046, 16912])).
% 34.22/22.81 tff(17048,plain,(v100(constB110) | v124(constB109) | (~v90(constB110, bitIndex0)) | v90(constB110, bitIndex2) | v90(constB110, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 34.22/22.81 tff(17049,plain,
% 34.22/22.81 ($false),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17048, 17004, 16911, 16847, 16910, 16848])).
% 34.22/22.81 tff(17050,plain,(v90(constB110, bitIndex2) | v100(constB110) | v90(constB110, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 34.22/22.81 tff(17051,plain,
% 34.22/22.81 (v90(constB110, bitIndex2)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17050, 16848, 16847])).
% 34.22/22.81 tff(17052,plain,
% 34.22/22.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB109, bitIndex2) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB109, bitIndex2) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex2)))),
% 34.22/22.81 inference(rewrite,[status(thm)],[])).
% 34.22/22.81 tff(17053,plain,
% 34.22/22.81 (((~nextState(constB109, constB110)) | v90(constB109, bitIndex2) | v100(constB110) | (~v90(constB110, bitIndex2))) <=> (v90(constB109, bitIndex2) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex2)))),
% 34.22/22.81 inference(rewrite,[status(thm)],[])).
% 34.22/22.81 tff(17054,plain,
% 34.22/22.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex2) | v100(constB110) | (~v90(constB110, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB109, bitIndex2) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex2))))),
% 34.22/22.81 inference(monotonicity,[status(thm)],[17053])).
% 34.22/22.81 tff(17055,plain,
% 34.22/22.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex2) | v100(constB110) | (~v90(constB110, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB109, bitIndex2) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex2)))),
% 34.22/22.81 inference(transitivity,[status(thm)],[17054, 17052])).
% 34.22/22.81 tff(17056,plain,
% 34.22/22.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex2) | v100(constB110) | (~v90(constB110, bitIndex2)))),
% 34.22/22.81 inference(quant_inst,[status(thm)],[])).
% 34.22/22.81 tff(17057,plain,
% 34.22/22.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB109, bitIndex2) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex2))),
% 34.22/22.81 inference(modus_ponens,[status(thm)],[17056, 17055])).
% 34.22/22.81 tff(17058,plain,
% 34.22/22.81 (v90(constB109, bitIndex2) | v100(constB110) | (~v90(constB110, bitIndex2))),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17057, 413, 16841])).
% 34.22/22.81 tff(17059,plain,
% 34.22/22.81 (v90(constB109, bitIndex2)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17058, 17051, 16847])).
% 34.22/22.81 tff(17060,plain,
% 34.22/22.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | v124(constB109))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | v124(constB109))),
% 34.22/22.81 inference(rewrite,[status(thm)],[])).
% 34.22/22.81 tff(17061,plain,
% 34.22/22.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | v124(constB109))),
% 34.22/22.81 inference(quant_inst,[status(thm)],[])).
% 34.22/22.81 tff(17062,plain,
% 34.22/22.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | v124(constB109)),
% 34.22/22.81 inference(modus_ponens,[status(thm)],[17061, 17060])).
% 34.22/22.81 tff(17063,plain,
% 34.22/22.81 ((~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2))),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17062, 1994, 16910])).
% 34.22/22.81 tff(17064,plain,
% 34.22/22.81 (~v90(constB109, bitIndex0)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17063, 17059, 16856])).
% 34.22/22.81 tff(17065,plain,
% 34.22/22.81 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | v123(constB109))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | v123(constB109))),
% 34.22/22.81 inference(rewrite,[status(thm)],[])).
% 34.22/22.81 tff(17066,plain,
% 34.22/22.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | v123(constB109))),
% 34.22/22.81 inference(quant_inst,[status(thm)],[])).
% 34.22/22.81 tff(17067,plain,
% 34.22/22.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | v123(constB109)),
% 34.22/22.81 inference(modus_ponens,[status(thm)],[17066, 17065])).
% 34.22/22.81 tff(17068,plain,
% 34.22/22.81 (v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2))),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17067, 1765, 16916])).
% 34.22/22.81 tff(17069,plain,
% 34.22/22.81 ($false),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17068, 17064, 17059, 16856])).
% 34.22/22.81 tff(17070,plain,(v90(constB110, bitIndex1) | v100(constB110)), inference(lemma,lemma(discharge,[]))).
% 34.22/22.81 tff(17071,plain,
% 34.22/22.81 (v90(constB110, bitIndex1)),
% 34.22/22.81 inference(unit_resolution,[status(thm)],[17070, 16847])).
% 34.22/22.81 tff(17072,plain,
% 34.22/22.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1)))),
% 34.22/22.81 inference(rewrite,[status(thm)],[])).
% 34.22/22.81 tff(17073,plain,
% 34.22/22.81 (((~nextState(constB109, constB110)) | v90(constB109, bitIndex1) | v100(constB110) | (~v90(constB110, bitIndex1))) <=> (v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1)))),
% 34.22/22.81 inference(rewrite,[status(thm)],[])).
% 34.22/22.81 tff(17074,plain,
% 34.22/22.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex1) | v100(constB110) | (~v90(constB110, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1))))),
% 34.22/22.81 inference(monotonicity,[status(thm)],[17073])).
% 34.22/22.81 tff(17075,plain,
% 34.22/22.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex1) | v100(constB110) | (~v90(constB110, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1)))),
% 34.22/22.81 inference(transitivity,[status(thm)],[17074, 17072])).
% 34.22/22.81 tff(17076,plain,
% 34.22/22.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex1) | v100(constB110) | (~v90(constB110, bitIndex1)))),
% 34.22/22.81 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17077,plain,
% 34.22/22.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1))),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17076, 17075])).
% 34.22/22.82 tff(17078,plain,
% 34.22/22.82 (v90(constB109, bitIndex1) | v100(constB110) | (~v90(constB110, bitIndex1))),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17077, 434, 16841])).
% 34.22/22.82 tff(17079,plain,
% 34.22/22.82 (v90(constB109, bitIndex1)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17078, 17071, 16847])).
% 34.22/22.82 tff(17080,plain,
% 34.22/22.82 (v90(constB108, bitIndex1)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16588, 17079])).
% 34.22/22.82 tff(17081,plain,
% 34.22/22.82 (v100(constB108)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16596, 17080, 16644])).
% 34.22/22.82 tff(17082,plain,
% 34.22/22.82 (v129(constB108, bitIndex1)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16742, 814, 17081, 17080])).
% 34.22/22.82 tff(17083,plain,
% 34.22/22.82 (v127(constB107, bitIndex1)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16748, 17082])).
% 34.22/22.82 tff(17084,plain,
% 34.22/22.82 (v130(constB107, bitIndex1)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16756, 17083])).
% 34.22/22.82 tff(17085,plain,
% 34.22/22.82 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB107)) | (~v130(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB107)) | (~v130(constB107, bitIndex1)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17086,plain,
% 34.22/22.82 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB107)) | (~v130(constB107, bitIndex1)))),
% 34.22/22.82 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17087,plain,
% 34.22/22.82 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB107)) | (~v130(constB107, bitIndex1))),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17086, 17085])).
% 34.22/22.82 tff(17088,plain,
% 34.22/22.82 (~v119(constB107)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17087, 767, 17084])).
% 34.22/22.82 tff(17089,plain,
% 34.22/22.82 (~v117(constB109)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[15961, 509, 16917])).
% 34.22/22.82 tff(17090,plain,
% 34.22/22.82 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB109) | (~v121(constB109)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB109) | (~v121(constB109)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17091,plain,
% 34.22/22.82 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB109) | (~v121(constB109)))),
% 34.22/22.82 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17092,plain,
% 34.22/22.82 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB109) | (~v121(constB109))),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17091, 17090])).
% 34.22/22.82 tff(17093,plain,
% 34.22/22.82 (~v121(constB109)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17092, 1253, 17089])).
% 34.22/22.82 tff(17094,plain,
% 34.22/22.82 (~v120(constB107)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16332, 17093])).
% 34.22/22.82 tff(17095,plain,
% 34.22/22.82 (~v123(constB107)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16760, 1909, 17084])).
% 34.22/22.82 tff(17096,plain,
% 34.22/22.82 (~v121(constB107)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16047, 4535, 16644])).
% 34.22/22.82 tff(17097,plain,
% 34.22/22.82 (~v122(constB107)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16001, 15998, 16644])).
% 34.22/22.82 tff(17098,plain,
% 34.22/22.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | v124(constB107) | (~v130(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | v124(constB107) | (~v130(constB107, bitIndex1)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17099,plain,
% 34.22/22.82 ((v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | (~v130(constB107, bitIndex1))) <=> (v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | v124(constB107) | (~v130(constB107, bitIndex1)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17100,plain,
% 34.22/22.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | (~v130(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | v124(constB107) | (~v130(constB107, bitIndex1))))),
% 34.22/22.82 inference(monotonicity,[status(thm)],[17099])).
% 34.22/22.82 tff(17101,plain,
% 34.22/22.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | (~v130(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | v124(constB107) | (~v130(constB107, bitIndex1)))),
% 34.22/22.82 inference(transitivity,[status(thm)],[17100, 17098])).
% 34.22/22.82 tff(17102,plain,
% 34.22/22.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | (~v130(constB107, bitIndex1)))),
% 34.22/22.82 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17103,plain,
% 34.22/22.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB107) | v122(constB107) | v121(constB107) | v120(constB107) | v119(constB107) | v124(constB107) | (~v130(constB107, bitIndex1))),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17102, 17101])).
% 34.22/22.82 tff(17104,plain,
% 34.22/22.82 (v123(constB107) | v120(constB107) | v119(constB107) | v124(constB107) | (~v130(constB107, bitIndex1))),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17103, 2448, 17097, 17096])).
% 34.22/22.82 tff(17105,plain,
% 34.22/22.82 (v124(constB107)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17104, 17095, 17094, 17084, 17088])).
% 34.22/22.82 tff(17106,plain,
% 34.22/22.82 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB107)) | (~v130(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB107)) | (~v130(constB107, bitIndex0)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17107,plain,
% 34.22/22.82 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB107)) | (~v130(constB107, bitIndex0)))),
% 34.22/22.82 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17108,plain,
% 34.22/22.82 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB107)) | (~v130(constB107, bitIndex0))),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17107, 17106])).
% 34.22/22.82 tff(17109,plain,
% 34.22/22.82 (~v130(constB107, bitIndex0)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17108, 2277, 17105])).
% 34.22/22.82 tff(17110,plain,
% 34.22/22.82 (~v127(constB107, bitIndex0)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16262, 17109])).
% 34.22/22.82 tff(17111,plain,
% 34.22/22.82 (~v129(constB108, bitIndex0)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16267, 17110])).
% 34.22/22.82 tff(17112,plain,
% 34.22/22.82 ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16274, 1215, 17081])).
% 34.22/22.82 tff(17113,plain,
% 34.22/22.82 (~v90(constB108, bitIndex0)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17112, 17111])).
% 34.22/22.82 tff(17114,plain,
% 34.22/22.82 (~v90(constB109, bitIndex0)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[15920, 17113])).
% 34.22/22.82 tff(17115,plain,
% 34.22/22.82 (v130(constB107, bitIndex2)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16797, 2075, 17105])).
% 34.22/22.82 tff(17116,plain,
% 34.22/22.82 (v127(constB107, bitIndex2)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16500, 17115])).
% 34.22/22.82 tff(17117,plain,
% 34.22/22.82 (v129(constB108, bitIndex2)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16495, 17116])).
% 34.22/22.82 tff(17118,plain,
% 34.22/22.82 (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2))),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16489, 1622, 17081])).
% 34.22/22.82 tff(17119,plain,
% 34.22/22.82 (v90(constB108, bitIndex2)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17118, 17117])).
% 34.22/22.82 tff(17120,plain,
% 34.22/22.82 (v90(constB109, bitIndex2)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[16422, 17119])).
% 34.22/22.82 tff(17121,plain,
% 34.22/22.82 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB109) | (~v125(constB109)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB109) | (~v125(constB109)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17122,plain,
% 34.22/22.82 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB109) | (~v125(constB109)))),
% 34.22/22.82 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17123,plain,
% 34.22/22.82 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB109) | (~v125(constB109))),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17122, 17121])).
% 34.22/22.82 tff(17124,plain,
% 34.22/22.82 (~v125(constB109)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17123, 2332, 16905])).
% 34.22/22.82 tff(17125,plain,
% 34.22/22.82 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17126,plain,
% 34.22/22.82 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109))),
% 34.22/22.82 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17127,plain,
% 34.22/22.82 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109)),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17126, 17125])).
% 34.22/22.82 tff(17128,plain,
% 34.22/22.82 (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2))),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17127, 2321, 17124])).
% 34.22/22.82 tff(17129,plain,
% 34.22/22.82 ($false),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17128, 17120, 17114, 17079])).
% 34.22/22.82 tff(17130,plain,(v100(constB110) | v90(constB107, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 34.22/22.82 tff(17131,plain,
% 34.22/22.82 (v100(constB110)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17130, 15824])).
% 34.22/22.82 tff(17132,plain,
% 34.22/22.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17133,plain,
% 34.22/22.82 (((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1)) <=> ((~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17134,plain,
% 34.22/22.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110))))),
% 34.22/22.82 inference(monotonicity,[status(thm)],[17133])).
% 34.22/22.82 tff(17135,plain,
% 34.22/22.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))),
% 34.22/22.82 inference(transitivity,[status(thm)],[17134, 17132])).
% 34.22/22.82 tff(17136,plain,
% 34.22/22.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1))),
% 34.22/22.82 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17137,plain,
% 34.22/22.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110))),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17136, 17135])).
% 34.22/22.82 tff(17138,plain,
% 34.22/22.82 ((~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17137, 814, 17131])).
% 34.22/22.82 tff(17139,plain,
% 34.22/22.82 (~v90(constB110, bitIndex1)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17138, 16846])).
% 34.22/22.82 tff(17140,plain,
% 34.22/22.82 ((~v1(constB111)) <=> (~v1(constB111))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17141,axiom,(~v1(constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 34.22/22.82 tff(17142,plain,
% 34.22/22.82 (~v1(constB111)),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17141, 17140])).
% 34.22/22.82 tff(17143,plain,
% 34.22/22.82 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17144,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 34.22/22.82 tff(17145,plain,
% 34.22/22.82 (nextState(constB110, constB111)),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17144, 17143])).
% 34.22/22.82 tff(17146,plain,
% 34.22/22.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17147,plain,
% 34.22/22.82 (((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17148,plain,
% 34.22/22.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))))),
% 34.22/22.82 inference(monotonicity,[status(thm)],[17147])).
% 34.22/22.82 tff(17149,plain,
% 34.22/22.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 34.22/22.82 inference(transitivity,[status(thm)],[17148, 17146])).
% 34.22/22.82 tff(17150,plain,
% 34.22/22.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))),
% 34.22/22.82 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17151,plain,
% 34.22/22.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17150, 17149])).
% 34.22/22.82 tff(17152,plain,
% 34.22/22.82 (~v101(constB111)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17151, 381, 17145, 17142])).
% 34.22/22.82 tff(17153,plain,
% 34.22/22.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17154,plain,
% 34.22/22.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 34.22/22.82 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17155,plain,
% 34.22/22.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111))),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17154, 17153])).
% 34.22/22.82 tff(17156,plain,
% 34.22/22.82 (v101(constB111) | (~v100(constB111))),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17155, 398, 17145])).
% 34.22/22.82 tff(17157,plain,
% 34.22/22.82 (~v100(constB111)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17156, 17152])).
% 34.22/22.82 tff(17158,plain,
% 34.22/22.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17159,plain,
% 34.22/22.82 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1))) <=> (v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17160,plain,
% 34.22/22.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1))))),
% 34.22/22.82 inference(monotonicity,[status(thm)],[17159])).
% 34.22/22.82 tff(17161,plain,
% 34.22/22.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 34.22/22.82 inference(transitivity,[status(thm)],[17160, 17158])).
% 34.22/22.82 tff(17162,plain,
% 34.22/22.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 34.22/22.82 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17163,plain,
% 34.22/22.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1))),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17162, 17161])).
% 34.22/22.82 tff(17164,plain,
% 34.22/22.82 (v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1))),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17163, 434, 17145])).
% 34.22/22.82 tff(17165,plain,
% 34.22/22.82 (v90(constB110, bitIndex1) | (~v90(constB111, bitIndex1))),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17164, 17157])).
% 34.22/22.82 tff(17166,plain,
% 34.22/22.82 (~v90(constB111, bitIndex1)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17165, 17139])).
% 34.22/22.82 tff(17167,plain,
% 34.22/22.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | (~v130(constB109, bitIndex2)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17168,plain,
% 34.22/22.82 ((v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2))) <=> (v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | (~v130(constB109, bitIndex2)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17169,plain,
% 34.22/22.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | (~v130(constB109, bitIndex2))))),
% 34.22/22.82 inference(monotonicity,[status(thm)],[17168])).
% 34.22/22.82 tff(17170,plain,
% 34.22/22.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | (~v130(constB109, bitIndex2)))),
% 34.22/22.82 inference(transitivity,[status(thm)],[17169, 17167])).
% 34.22/22.82 tff(17171,plain,
% 34.22/22.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2)))),
% 34.22/22.82 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17172,plain,
% 34.22/22.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v120(constB109) | v121(constB109) | v123(constB109) | v124(constB109) | v122(constB109) | v119(constB109) | (~v130(constB109, bitIndex2))),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17171, 17170])).
% 34.22/22.82 tff(17173,plain,
% 34.22/22.82 (~v130(constB109, bitIndex2)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17172, 2244, 16819, 16815, 16811, 16807, 16794, 16790])).
% 34.22/22.82 tff(17174,plain,
% 34.22/22.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17175,plain,
% 34.22/22.82 ((v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2))) <=> ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17176,plain,
% 34.22/22.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)))),
% 34.22/22.82 inference(monotonicity,[status(thm)],[17175])).
% 34.22/22.82 tff(17177,plain,
% 34.22/22.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 34.22/22.82 inference(transitivity,[status(thm)],[17176, 17174])).
% 34.22/22.82 tff(17178,plain,
% 34.22/22.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))),
% 34.22/22.82 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17179,plain,
% 34.22/22.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17178, 17177])).
% 34.22/22.82 tff(17180,plain,
% 34.22/22.82 ((~v127(constB109, bitIndex2)) | v130(constB109, bitIndex2)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17179, 689, 16830])).
% 34.22/22.82 tff(17181,plain,
% 34.22/22.82 (~v127(constB109, bitIndex2)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17180, 17173])).
% 34.22/22.82 tff(17182,plain,
% 34.22/22.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17183,plain,
% 34.22/22.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 34.22/22.82 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17184,plain,
% 34.22/22.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17183, 17182])).
% 34.22/22.82 tff(17185,plain,
% 34.22/22.82 (v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17184, 707, 16841])).
% 34.22/22.82 tff(17186,plain,
% 34.22/22.82 (~v129(constB110, bitIndex2)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17185, 17181])).
% 34.22/22.82 tff(17187,plain,
% 34.22/22.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17188,plain,
% 34.22/22.82 (((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2)) <=> ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17189,plain,
% 34.22/22.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110))))),
% 34.22/22.82 inference(monotonicity,[status(thm)],[17188])).
% 34.22/22.82 tff(17190,plain,
% 34.22/22.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 34.22/22.82 inference(transitivity,[status(thm)],[17189, 17187])).
% 34.22/22.82 tff(17191,plain,
% 34.22/22.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2))),
% 34.22/22.82 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17192,plain,
% 34.22/22.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110))),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17191, 17190])).
% 34.22/22.82 tff(17193,plain,
% 34.22/22.82 ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17192, 722, 17131])).
% 34.22/22.82 tff(17194,plain,
% 34.22/22.82 (~v90(constB110, bitIndex2)),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17193, 17186])).
% 34.22/22.82 tff(17195,plain,
% 34.22/22.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17196,plain,
% 34.22/22.82 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))) <=> (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 34.22/22.82 inference(rewrite,[status(thm)],[])).
% 34.22/22.82 tff(17197,plain,
% 34.22/22.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2))))),
% 34.22/22.82 inference(monotonicity,[status(thm)],[17196])).
% 34.22/22.82 tff(17198,plain,
% 34.22/22.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 34.22/22.82 inference(transitivity,[status(thm)],[17197, 17195])).
% 34.22/22.82 tff(17199,plain,
% 34.22/22.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 34.22/22.82 inference(quant_inst,[status(thm)],[])).
% 34.22/22.82 tff(17200,plain,
% 34.22/22.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 34.22/22.82 inference(modus_ponens,[status(thm)],[17199, 17198])).
% 34.22/22.82 tff(17201,plain,
% 34.22/22.82 (v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17200, 413, 17145])).
% 34.22/22.82 tff(17202,plain,
% 34.22/22.82 (v90(constB110, bitIndex2) | (~v90(constB111, bitIndex2))),
% 34.22/22.82 inference(unit_resolution,[status(thm)],[17201, 17157])).
% 34.22/22.83 tff(17203,plain,
% 34.22/22.83 (~v90(constB111, bitIndex2)),
% 34.22/22.83 inference(unit_resolution,[status(thm)],[17202, 17194])).
% 34.22/22.83 tff(17204,assumption,(~v90(constB111, bitIndex2)), introduced(assumption)).
% 34.22/22.83 tff(17205,assumption,(~v118(constB111)), introduced(assumption)).
% 34.22/22.83 tff(17206,plain,
% 34.22/22.83 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB111) | (~v119(constB111)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB111) | (~v119(constB111)))),
% 34.22/22.83 inference(rewrite,[status(thm)],[])).
% 34.22/22.83 tff(17207,plain,
% 34.22/22.83 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB111) | (~v119(constB111)))),
% 34.22/22.83 inference(quant_inst,[status(thm)],[])).
% 34.22/22.83 tff(17208,plain,
% 34.22/22.83 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB111) | (~v119(constB111))),
% 34.22/22.83 inference(modus_ponens,[status(thm)],[17207, 17206])).
% 34.22/22.83 tff(17209,plain,
% 34.22/22.83 (~v119(constB111)),
% 34.22/22.83 inference(unit_resolution,[status(thm)],[17208, 487, 17205])).
% 34.22/22.83 tff(17210,plain,
% 34.22/22.83 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB111) | (~v120(constB111)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB111) | (~v120(constB111)))),
% 34.22/22.83 inference(rewrite,[status(thm)],[])).
% 34.22/22.83 tff(17211,plain,
% 34.22/22.83 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB111) | (~v120(constB111)))),
% 34.22/22.83 inference(quant_inst,[status(thm)],[])).
% 34.22/22.83 tff(17212,plain,
% 34.22/22.83 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB111) | (~v120(constB111))),
% 34.22/22.83 inference(modus_ponens,[status(thm)],[17211, 17210])).
% 34.22/22.83 tff(17213,plain,
% 34.22/22.83 (~v120(constB111)),
% 34.22/22.83 inference(unit_resolution,[status(thm)],[17212, 936, 17205])).
% 34.22/22.83 tff(17214,assumption,(~v90(constB111, bitIndex1)), introduced(assumption)).
% 34.22/22.83 tff(17215,plain,
% 34.22/22.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 34.22/22.83 inference(rewrite,[status(thm)],[])).
% 34.22/22.83 tff(17216,plain,
% 34.22/22.83 (((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2)) <=> ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 34.22/22.83 inference(rewrite,[status(thm)],[])).
% 34.22/22.83 tff(17217,plain,
% 34.22/22.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111)))),
% 34.22/22.83 inference(monotonicity,[status(thm)],[17216])).
% 34.22/22.83 tff(17218,plain,
% 34.22/22.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 34.22/22.83 inference(transitivity,[status(thm)],[17217, 17215])).
% 34.22/22.83 tff(17219,plain,
% 34.22/22.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))),
% 34.22/22.83 inference(quant_inst,[status(thm)],[])).
% 34.22/22.83 tff(17220,plain,
% 34.22/22.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111)),
% 34.22/22.83 inference(modus_ponens,[status(thm)],[17219, 17218])).
% 34.22/22.83 tff(17221,plain,
% 34.22/22.83 ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex2) | v120(constB111)),
% 34.22/22.83 inference(unit_resolution,[status(thm)],[17220, 922, 17214])).
% 34.22/22.83 tff(17222,plain,
% 34.22/22.83 (~v90(constB111, bitIndex0)),
% 34.22/22.83 inference(unit_resolution,[status(thm)],[17221, 17213, 17204])).
% 34.22/22.83 tff(17223,plain,
% 34.22/22.83 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB111) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB111) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))),
% 34.22/22.83 inference(rewrite,[status(thm)],[])).
% 34.22/22.83 tff(17224,plain,
% 34.22/22.83 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB111) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))),
% 34.22/22.83 inference(quant_inst,[status(thm)],[])).
% 34.22/22.83 tff(17225,plain,
% 34.22/22.83 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB111) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2)),
% 34.22/22.83 inference(modus_ponens,[status(thm)],[17224, 17223])).
% 34.22/22.83 tff(17226,plain,
% 34.22/22.83 (v119(constB111) | v90(constB111, bitIndex0) | v90(constB111, bitIndex2)),
% 34.22/22.83 inference(unit_resolution,[status(thm)],[17225, 476, 17214])).
% 34.22/22.83 tff(17227,plain,
% 34.22/22.83 ($false),
% 34.22/22.83 inference(unit_resolution,[status(thm)],[17226, 17222, 17209, 17204])).
% 34.22/22.83 tff(17228,plain,(v118(constB111) | v90(constB111, bitIndex2) | v90(constB111, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 34.22/22.83 tff(17229,plain,
% 34.22/22.83 (v118(constB111)),
% 34.22/22.83 inference(unit_resolution,[status(thm)],[17228, 17203, 17166])).
% 34.22/22.83 tff(17230,plain,
% 34.22/22.83 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB111) | (~v118(constB111)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB111) | (~v118(constB111)))),
% 34.22/22.83 inference(rewrite,[status(thm)],[])).
% 34.22/22.83 tff(17231,plain,
% 34.22/22.83 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB111) | (~v118(constB111)))),
% 34.22/22.83 inference(quant_inst,[status(thm)],[])).
% 34.22/22.83 tff(17232,plain,
% 34.22/22.83 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB111) | (~v118(constB111))),
% 34.22/22.83 inference(modus_ponens,[status(thm)],[17231, 17230])).
% 34.22/22.83 tff(17233,plain,
% 34.22/22.83 (v117(constB111)),
% 34.22/22.83 inference(unit_resolution,[status(thm)],[17232, 498, 17229])).
% 34.22/22.83 tff(17234,plain,
% 34.22/22.83 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB111) | (~v117(constB111)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB111) | (~v117(constB111)))),
% 34.22/22.83 inference(rewrite,[status(thm)],[])).
% 34.22/22.83 tff(17235,plain,
% 34.22/22.83 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB111) | (~v117(constB111)))),
% 34.22/22.83 inference(quant_inst,[status(thm)],[])).
% 34.22/22.83 tff(17236,plain,
% 34.22/22.83 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB111) | (~v117(constB111))),
% 34.22/22.83 inference(modus_ponens,[status(thm)],[17235, 17234])).
% 34.22/22.83 tff(17237,plain,
% 34.22/22.83 (v116(constB111)),
% 34.22/22.83 inference(unit_resolution,[status(thm)],[17236, 509, 17233])).
% 34.22/22.83 tff(17238,plain,
% 34.22/22.83 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB111) | (~v116(constB111)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB111) | (~v116(constB111)))),
% 34.22/22.83 inference(rewrite,[status(thm)],[])).
% 34.22/22.83 tff(17239,plain,
% 34.22/22.83 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB111) | (~v116(constB111)))),
% 34.22/22.83 inference(quant_inst,[status(thm)],[])).
% 34.22/22.83 tff(17240,plain,
% 34.22/22.83 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB111) | (~v116(constB111))),
% 34.22/22.83 inference(modus_ponens,[status(thm)],[17239, 17238])).
% 34.22/22.83 tff(17241,plain,
% 34.24/22.83 (v115(constB111)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17240, 520, 17237])).
% 34.24/22.83 tff(17242,plain,
% 34.24/22.83 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB111) | (~v115(constB111)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB111) | (~v115(constB111)))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17243,plain,
% 34.24/22.83 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB111) | (~v115(constB111)))),
% 34.24/22.83 inference(quant_inst,[status(thm)],[])).
% 34.24/22.83 tff(17244,plain,
% 34.24/22.83 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB111) | (~v115(constB111))),
% 34.24/22.83 inference(modus_ponens,[status(thm)],[17243, 17242])).
% 34.24/22.83 tff(17245,plain,
% 34.24/22.83 (v114(constB111)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17244, 531, 17241])).
% 34.24/22.83 tff(17246,plain,
% 34.24/22.83 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB111) | (~v114(constB111)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB111) | (~v114(constB111)))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17247,plain,
% 34.24/22.83 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB111) | (~v114(constB111)))),
% 34.24/22.83 inference(quant_inst,[status(thm)],[])).
% 34.24/22.83 tff(17248,plain,
% 34.24/22.83 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB111) | (~v114(constB111))),
% 34.24/22.83 inference(modus_ponens,[status(thm)],[17247, 17246])).
% 34.24/22.83 tff(17249,plain,
% 34.24/22.83 (v113(constB111)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17248, 542, 17245])).
% 34.24/22.83 tff(17250,assumption,(v26(constB111)), introduced(assumption)).
% 34.24/22.83 tff(17251,plain,
% 34.24/22.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB111))),
% 34.24/22.83 inference(quant_inst,[status(thm)],[])).
% 34.24/22.83 tff(17252,plain,
% 34.24/22.83 ($false),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17251, 120, 17250])).
% 34.24/22.83 tff(17253,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 34.24/22.83 tff(17254,plain,
% 34.24/22.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17255,plain,
% 34.24/22.83 ((v26(constB111) | (~v113(constB111)) | v112(constB111)) <=> (v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17256,plain,
% 34.24/22.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111))))),
% 34.24/22.83 inference(monotonicity,[status(thm)],[17255])).
% 34.24/22.83 tff(17257,plain,
% 34.24/22.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 34.24/22.83 inference(transitivity,[status(thm)],[17256, 17254])).
% 34.24/22.83 tff(17258,plain,
% 34.24/22.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 34.24/22.83 inference(quant_inst,[status(thm)],[])).
% 34.24/22.83 tff(17259,plain,
% 34.24/22.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111))),
% 34.24/22.83 inference(modus_ponens,[status(thm)],[17258, 17257])).
% 34.24/22.83 tff(17260,plain,
% 34.24/22.83 (v112(constB111) | (~v113(constB111))),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17259, 556, 17253])).
% 34.24/22.83 tff(17261,plain,
% 34.24/22.83 (v112(constB111)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17260, 17249])).
% 34.24/22.83 tff(17262,plain,
% 34.24/22.83 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB111) | (~v112(constB111)))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17263,plain,
% 34.24/22.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB111) | (~v112(constB111)))),
% 34.24/22.83 inference(quant_inst,[status(thm)],[])).
% 34.24/22.83 tff(17264,plain,
% 34.24/22.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB111) | (~v112(constB111))),
% 34.24/22.83 inference(modus_ponens,[status(thm)],[17263, 17262])).
% 34.24/22.83 tff(17265,plain,
% 34.24/22.83 (v108(constB111)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17264, 568, 17261])).
% 34.24/22.83 tff(17266,plain,
% 34.24/22.83 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17267,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 34.24/22.83 tff(17268,plain,
% 34.24/22.83 (nextState(constB111, constB112)),
% 34.24/22.83 inference(modus_ponens,[status(thm)],[17267, 17266])).
% 34.24/22.83 tff(17269,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17270,plain,
% 34.24/22.83 (((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112)) <=> ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17271,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))))),
% 34.24/22.83 inference(monotonicity,[status(thm)],[17270])).
% 34.24/22.83 tff(17272,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 34.24/22.83 inference(transitivity,[status(thm)],[17271, 17269])).
% 34.24/22.83 tff(17273,plain,
% 34.24/22.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))),
% 34.24/22.83 inference(quant_inst,[status(thm)],[])).
% 34.24/22.83 tff(17274,plain,
% 34.24/22.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))),
% 34.24/22.83 inference(modus_ponens,[status(thm)],[17273, 17272])).
% 34.24/22.83 tff(17275,plain,
% 34.24/22.83 (v110(constB112) | (~v108(constB111))),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17274, 585, 17268])).
% 34.24/22.83 tff(17276,plain,
% 34.24/22.83 (v110(constB112)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17275, 17265])).
% 34.24/22.83 tff(17277,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17278,plain,
% 34.24/22.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 34.24/22.83 inference(quant_inst,[status(thm)],[])).
% 34.24/22.83 tff(17279,plain,
% 34.24/22.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112))),
% 34.24/22.83 inference(modus_ponens,[status(thm)],[17278, 17277])).
% 34.24/22.83 tff(17280,plain,
% 34.24/22.83 (~v104(constB112)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17279, 603, 17268, 17142])).
% 34.24/22.83 tff(17281,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17282,plain,
% 34.24/22.83 (((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112)) <=> ((~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17283,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | v102(constB112)))),
% 34.24/22.83 inference(monotonicity,[status(thm)],[17282])).
% 34.24/22.83 tff(17284,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))),
% 34.24/22.83 inference(transitivity,[status(thm)],[17283, 17281])).
% 34.24/22.83 tff(17285,plain,
% 34.24/22.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 34.24/22.83 inference(quant_inst,[status(thm)],[])).
% 34.24/22.83 tff(17286,plain,
% 34.24/22.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | v102(constB112)),
% 34.24/22.83 inference(modus_ponens,[status(thm)],[17285, 17284])).
% 34.24/22.83 tff(17287,plain,
% 34.24/22.83 (v104(constB112) | v102(constB112)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17286, 617, 17268])).
% 34.24/22.83 tff(17288,plain,
% 34.24/22.83 (v102(constB112)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17287, 17280])).
% 34.24/22.83 tff(17289,plain,
% 34.24/22.83 (v1(constB112) <=> v1(constB112)),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17290,axiom,(v1(constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 34.24/22.83 tff(17291,plain,
% 34.24/22.83 (v1(constB112)),
% 34.24/22.83 inference(modus_ponens,[status(thm)],[17290, 17289])).
% 34.24/22.83 tff(17292,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17293,plain,
% 34.24/22.83 (((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112))) <=> ((~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17294,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112))))),
% 34.24/22.83 inference(monotonicity,[status(thm)],[17293])).
% 34.24/22.83 tff(17295,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))),
% 34.24/22.83 inference(transitivity,[status(thm)],[17294, 17292])).
% 34.24/22.83 tff(17296,plain,
% 34.24/22.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 34.24/22.83 inference(quant_inst,[status(thm)],[])).
% 34.24/22.83 tff(17297,plain,
% 34.24/22.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112))),
% 34.24/22.83 inference(modus_ponens,[status(thm)],[17296, 17295])).
% 34.24/22.83 tff(17298,plain,
% 34.24/22.83 (v101(constB112) | (~v102(constB112))),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17297, 638, 17268, 17291])).
% 34.24/22.83 tff(17299,plain,
% 34.24/22.83 (v101(constB112)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17298, 17288])).
% 34.24/22.83 tff(17300,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17301,plain,
% 34.24/22.83 (((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112)) <=> ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17302,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))))),
% 34.24/22.83 inference(monotonicity,[status(thm)],[17301])).
% 34.24/22.83 tff(17303,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 34.24/22.83 inference(transitivity,[status(thm)],[17302, 17300])).
% 34.24/22.83 tff(17304,plain,
% 34.24/22.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))),
% 34.24/22.83 inference(quant_inst,[status(thm)],[])).
% 34.24/22.83 tff(17305,plain,
% 34.24/22.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 34.24/22.83 inference(modus_ponens,[status(thm)],[17304, 17303])).
% 34.24/22.83 tff(17306,plain,
% 34.24/22.83 (v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17305, 656, 17268])).
% 34.24/22.83 tff(17307,plain,
% 34.24/22.83 (v100(constB112) | (~v110(constB112))),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17306, 17299])).
% 34.24/22.83 tff(17308,plain,
% 34.24/22.83 (v100(constB112)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17307, 17276])).
% 34.24/22.83 tff(17309,plain,
% 34.24/22.83 (v130(constB109, bitIndex0)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17000, 2495, 16819, 16815, 16811, 16807, 16794, 16790])).
% 34.24/22.83 tff(17310,plain,
% 34.24/22.83 (v127(constB109, bitIndex0)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[16985, 17309])).
% 34.24/22.83 tff(17311,plain,
% 34.24/22.83 (v129(constB110, bitIndex0)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[16980, 17310])).
% 34.24/22.83 tff(17312,plain,
% 34.24/22.83 (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0))),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[16974, 885, 17131])).
% 34.24/22.83 tff(17313,plain,
% 34.24/22.83 (v90(constB110, bitIndex0)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17312, 17311])).
% 34.24/22.83 tff(17314,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17315,plain,
% 34.24/22.83 (((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)) <=> ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17316,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0)))),
% 34.24/22.83 inference(monotonicity,[status(thm)],[17315])).
% 34.24/22.83 tff(17317,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 34.24/22.83 inference(transitivity,[status(thm)],[17316, 17314])).
% 34.24/22.83 tff(17318,plain,
% 34.24/22.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))),
% 34.24/22.83 inference(quant_inst,[status(thm)],[])).
% 34.24/22.83 tff(17319,plain,
% 34.24/22.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0)),
% 34.24/22.83 inference(modus_ponens,[status(thm)],[17318, 17317])).
% 34.24/22.83 tff(17320,plain,
% 34.24/22.83 ((~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17319, 903, 17145])).
% 34.24/22.83 tff(17321,plain,
% 34.24/22.83 ((~v90(constB110, bitIndex0)) | v90(constB111, bitIndex0)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17320, 17157])).
% 34.24/22.83 tff(17322,plain,
% 34.24/22.83 (v90(constB111, bitIndex0)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17321, 17313])).
% 34.24/22.83 tff(17323,plain,
% 34.24/22.83 (v120(constB111)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17220, 922, 17322, 17166, 17203])).
% 34.24/22.83 tff(17324,plain,
% 34.24/22.83 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB111)) | (~v130(constB111, bitIndex2)))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17325,plain,
% 34.24/22.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex2)))),
% 34.24/22.83 inference(quant_inst,[status(thm)],[])).
% 34.24/22.83 tff(17326,plain,
% 34.24/22.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB111)) | (~v130(constB111, bitIndex2))),
% 34.24/22.83 inference(modus_ponens,[status(thm)],[17325, 17324])).
% 34.24/22.83 tff(17327,plain,
% 34.24/22.83 (~v130(constB111, bitIndex2)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17326, 1025, 17323])).
% 34.24/22.83 tff(17328,plain,
% 34.24/22.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17329,plain,
% 34.24/22.83 ((v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2))) <=> ((~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17330,plain,
% 34.24/22.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2)))),
% 34.24/22.83 inference(monotonicity,[status(thm)],[17329])).
% 34.24/22.83 tff(17331,plain,
% 34.24/22.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))),
% 34.24/22.83 inference(transitivity,[status(thm)],[17330, 17328])).
% 34.24/22.83 tff(17332,plain,
% 34.24/22.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2)))),
% 34.24/22.83 inference(quant_inst,[status(thm)],[])).
% 34.24/22.83 tff(17333,plain,
% 34.24/22.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2)),
% 34.24/22.83 inference(modus_ponens,[status(thm)],[17332, 17331])).
% 34.24/22.83 tff(17334,plain,
% 34.24/22.83 ((~v127(constB111, bitIndex2)) | v130(constB111, bitIndex2)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17333, 689, 17253])).
% 34.24/22.83 tff(17335,plain,
% 34.24/22.83 (~v127(constB111, bitIndex2)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17334, 17327])).
% 34.24/22.83 tff(17336,plain,
% 34.24/22.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))),
% 34.24/22.83 inference(rewrite,[status(thm)],[])).
% 34.24/22.83 tff(17337,plain,
% 34.24/22.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))),
% 34.24/22.83 inference(quant_inst,[status(thm)],[])).
% 34.24/22.83 tff(17338,plain,
% 34.24/22.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2))),
% 34.24/22.83 inference(modus_ponens,[status(thm)],[17337, 17336])).
% 34.24/22.83 tff(17339,plain,
% 34.24/22.83 (v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2))),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17338, 707, 17268])).
% 34.24/22.83 tff(17340,plain,
% 34.24/22.83 (~v129(constB112, bitIndex2)),
% 34.24/22.83 inference(unit_resolution,[status(thm)],[17339, 17335])).
% 34.24/22.83 tff(17341,plain,
% 34.24/22.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17342,plain,
% 34.24/22.84 (((~v90(constB112, bitIndex2)) | (~v100(constB112)) | v129(constB112, bitIndex2)) <=> ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17343,plain,
% 34.24/22.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~v100(constB112)) | v129(constB112, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112))))),
% 34.24/22.84 inference(monotonicity,[status(thm)],[17342])).
% 34.24/22.84 tff(17344,plain,
% 34.24/22.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~v100(constB112)) | v129(constB112, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))),
% 34.24/22.84 inference(transitivity,[status(thm)],[17343, 17341])).
% 34.24/22.84 tff(17345,plain,
% 34.24/22.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~v100(constB112)) | v129(constB112, bitIndex2))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17346,plain,
% 34.24/22.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112))),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17345, 17344])).
% 34.24/22.84 tff(17347,plain,
% 34.24/22.84 ((~v90(constB112, bitIndex2)) | (~v100(constB112))),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17346, 722, 17340])).
% 34.24/22.84 tff(17348,plain,
% 34.24/22.84 (~v90(constB112, bitIndex2)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17347, 17308])).
% 34.24/22.84 tff(17349,plain,
% 34.24/22.84 ((~v1(constB113)) <=> (~v1(constB113))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17350,axiom,(~v1(constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 34.24/22.84 tff(17351,plain,
% 34.24/22.84 (~v1(constB113)),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17350, 17349])).
% 34.24/22.84 tff(17352,plain,
% 34.24/22.84 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17353,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 34.24/22.84 tff(17354,plain,
% 34.24/22.84 (nextState(constB112, constB113)),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17353, 17352])).
% 34.24/22.84 tff(17355,plain,
% 34.24/22.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17356,plain,
% 34.24/22.84 (((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17357,plain,
% 34.24/22.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))))),
% 34.24/22.84 inference(monotonicity,[status(thm)],[17356])).
% 34.24/22.84 tff(17358,plain,
% 34.24/22.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 34.24/22.84 inference(transitivity,[status(thm)],[17357, 17355])).
% 34.24/22.84 tff(17359,plain,
% 34.24/22.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17360,plain,
% 34.24/22.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17359, 17358])).
% 34.24/22.84 tff(17361,plain,
% 34.24/22.84 (~v101(constB113)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17360, 381, 17354, 17351])).
% 34.24/22.84 tff(17362,plain,
% 34.24/22.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17363,plain,
% 34.24/22.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17364,plain,
% 34.24/22.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113))),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17363, 17362])).
% 34.24/22.84 tff(17365,plain,
% 34.24/22.84 (v101(constB113) | (~v100(constB113))),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17364, 398, 17354])).
% 34.24/22.84 tff(17366,plain,
% 34.24/22.84 (~v100(constB113)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17365, 17361])).
% 34.24/22.84 tff(17367,plain,
% 34.24/22.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17368,plain,
% 34.24/22.84 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2))) <=> (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17369,plain,
% 34.24/22.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2))))),
% 34.24/22.84 inference(monotonicity,[status(thm)],[17368])).
% 34.24/22.84 tff(17370,plain,
% 34.24/22.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 34.24/22.84 inference(transitivity,[status(thm)],[17369, 17367])).
% 34.24/22.84 tff(17371,plain,
% 34.24/22.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17372,plain,
% 34.24/22.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2))),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17371, 17370])).
% 34.24/22.84 tff(17373,plain,
% 34.24/22.84 (v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2))),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17372, 413, 17354])).
% 34.24/22.84 tff(17374,plain,
% 34.24/22.84 (v90(constB112, bitIndex2) | (~v90(constB113, bitIndex2))),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17373, 17366])).
% 34.24/22.84 tff(17375,plain,
% 34.24/22.84 (~v90(constB113, bitIndex2)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17374, 17348])).
% 34.24/22.84 tff(17376,plain,
% 34.24/22.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB111)) | v130(constB111, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB111)) | v130(constB111, bitIndex1))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17377,plain,
% 34.24/22.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB111)) | v130(constB111, bitIndex1))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17378,plain,
% 34.24/22.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB111)) | v130(constB111, bitIndex1)),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17377, 17376])).
% 34.24/22.84 tff(17379,plain,
% 34.24/22.84 (v130(constB111, bitIndex1)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17378, 1087, 17323])).
% 34.24/22.84 tff(17380,plain,
% 34.24/22.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17381,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17382,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1)),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17381, 17380])).
% 34.24/22.84 tff(17383,plain,
% 34.24/22.84 ((~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17382, 1101, 17253])).
% 34.24/22.84 tff(17384,plain,
% 34.24/22.84 (v127(constB111, bitIndex1)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17383, 17379])).
% 34.24/22.84 tff(17385,plain,
% 34.24/22.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17386,plain,
% 34.24/22.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17387,plain,
% 34.24/22.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1)),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17386, 17385])).
% 34.24/22.84 tff(17388,plain,
% 34.24/22.84 ((~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17387, 1116, 17268])).
% 34.24/22.84 tff(17389,plain,
% 34.24/22.84 (v129(constB112, bitIndex1)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17388, 17384])).
% 34.24/22.84 tff(17390,plain,
% 34.24/22.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17391,plain,
% 34.24/22.84 ((v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1))) <=> (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17392,plain,
% 34.24/22.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112))))),
% 34.24/22.84 inference(monotonicity,[status(thm)],[17391])).
% 34.24/22.84 tff(17393,plain,
% 34.24/22.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 34.24/22.84 inference(transitivity,[status(thm)],[17392, 17390])).
% 34.24/22.84 tff(17394,plain,
% 34.24/22.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17395,plain,
% 34.24/22.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112))),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17394, 17393])).
% 34.24/22.84 tff(17396,plain,
% 34.24/22.84 (v90(constB112, bitIndex1) | (~v100(constB112))),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17395, 1131, 17389])).
% 34.24/22.84 tff(17397,plain,
% 34.24/22.84 (v90(constB112, bitIndex1)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17396, 17308])).
% 34.24/22.84 tff(17398,plain,
% 34.24/22.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17399,plain,
% 34.24/22.84 (((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1)) <=> ((~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17400,plain,
% 34.24/22.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1)))),
% 34.24/22.84 inference(monotonicity,[status(thm)],[17399])).
% 34.24/22.84 tff(17401,plain,
% 34.24/22.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))),
% 34.24/22.84 inference(transitivity,[status(thm)],[17400, 17398])).
% 34.24/22.84 tff(17402,plain,
% 34.24/22.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17403,plain,
% 34.24/22.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1)),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17402, 17401])).
% 34.24/22.84 tff(17404,plain,
% 34.24/22.84 ((~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17403, 1149, 17354])).
% 34.24/22.84 tff(17405,plain,
% 34.24/22.84 ((~v90(constB112, bitIndex1)) | v90(constB113, bitIndex1)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17404, 17366])).
% 34.24/22.84 tff(17406,plain,
% 34.24/22.84 (v90(constB113, bitIndex1)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17405, 17397])).
% 34.24/22.84 tff(17407,plain,
% 34.24/22.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB111)) | (~v130(constB111, bitIndex0)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17408,plain,
% 34.24/22.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex0)))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17409,plain,
% 34.24/22.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB111)) | (~v130(constB111, bitIndex0))),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17408, 17407])).
% 34.24/22.84 tff(17410,plain,
% 34.24/22.84 (~v130(constB111, bitIndex0)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17409, 1168, 17323])).
% 34.24/22.84 tff(17411,plain,
% 34.24/22.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17412,plain,
% 34.24/22.84 ((v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0))) <=> ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17413,plain,
% 34.24/22.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)))),
% 34.24/22.84 inference(monotonicity,[status(thm)],[17412])).
% 34.24/22.84 tff(17414,plain,
% 34.24/22.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 34.24/22.84 inference(transitivity,[status(thm)],[17413, 17411])).
% 34.24/22.84 tff(17415,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17416,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17415, 17414])).
% 34.24/22.84 tff(17417,plain,
% 34.24/22.84 ((~v127(constB111, bitIndex0)) | v130(constB111, bitIndex0)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17416, 1182, 17253])).
% 34.24/22.84 tff(17418,plain,
% 34.24/22.84 (~v127(constB111, bitIndex0)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17417, 17410])).
% 34.24/22.84 tff(17419,plain,
% 34.24/22.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17420,plain,
% 34.24/22.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17421,plain,
% 34.24/22.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17420, 17419])).
% 34.24/22.84 tff(17422,plain,
% 34.24/22.84 (v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17421, 1200, 17268])).
% 34.24/22.84 tff(17423,plain,
% 34.24/22.84 (~v129(constB112, bitIndex0)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17422, 17418])).
% 34.24/22.84 tff(17424,plain,
% 34.24/22.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17425,plain,
% 34.24/22.84 (((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0)) <=> ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17426,plain,
% 34.24/22.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))))),
% 34.24/22.84 inference(monotonicity,[status(thm)],[17425])).
% 34.24/22.84 tff(17427,plain,
% 34.24/22.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 34.24/22.84 inference(transitivity,[status(thm)],[17426, 17424])).
% 34.24/22.84 tff(17428,plain,
% 34.24/22.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17429,plain,
% 34.24/22.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17428, 17427])).
% 34.24/22.84 tff(17430,plain,
% 34.24/22.84 ((~v90(constB112, bitIndex0)) | (~v100(constB112))),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17429, 1215, 17423])).
% 34.24/22.84 tff(17431,plain,
% 34.24/22.84 (~v90(constB112, bitIndex0)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17430, 17308])).
% 34.24/22.84 tff(17432,plain,
% 34.24/22.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17433,plain,
% 34.24/22.84 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))) <=> (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17434,plain,
% 34.24/22.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0))))),
% 34.24/22.84 inference(monotonicity,[status(thm)],[17433])).
% 34.24/22.84 tff(17435,plain,
% 34.24/22.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 34.24/22.84 inference(transitivity,[status(thm)],[17434, 17432])).
% 34.24/22.84 tff(17436,plain,
% 34.24/22.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17437,plain,
% 34.24/22.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17436, 17435])).
% 34.24/22.84 tff(17438,plain,
% 34.24/22.84 (v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17437, 455, 17354])).
% 34.24/22.84 tff(17439,plain,
% 34.24/22.84 (v90(constB112, bitIndex0) | (~v90(constB113, bitIndex0))),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17438, 17366])).
% 34.24/22.84 tff(17440,plain,
% 34.24/22.84 (~v90(constB113, bitIndex0)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17439, 17431])).
% 34.24/22.84 tff(17441,plain,
% 34.24/22.84 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17442,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17443,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113)),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17442, 17441])).
% 34.24/22.84 tff(17444,plain,
% 34.24/22.84 (v121(constB113)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17443, 1242, 17440, 17406, 17375])).
% 34.24/22.84 tff(17445,plain,
% 34.24/22.84 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB113) | (~v121(constB113)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB113) | (~v121(constB113)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17446,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB113) | (~v121(constB113)))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17447,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB113) | (~v121(constB113))),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17446, 17445])).
% 34.24/22.84 tff(17448,plain,
% 34.24/22.84 (v117(constB113)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17447, 1253, 17444])).
% 34.24/22.84 tff(17449,plain,
% 34.24/22.84 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB113) | (~v117(constB113)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB113) | (~v117(constB113)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17450,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB113) | (~v117(constB113)))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17451,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB113) | (~v117(constB113))),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17450, 17449])).
% 34.24/22.84 tff(17452,plain,
% 34.24/22.84 (v116(constB113)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17451, 509, 17448])).
% 34.24/22.84 tff(17453,plain,
% 34.24/22.84 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB113) | (~v116(constB113)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB113) | (~v116(constB113)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17454,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB113) | (~v116(constB113)))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17455,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB113) | (~v116(constB113))),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17454, 17453])).
% 34.24/22.84 tff(17456,plain,
% 34.24/22.84 (v115(constB113)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17455, 520, 17452])).
% 34.24/22.84 tff(17457,plain,
% 34.24/22.84 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB113) | (~v115(constB113)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB113) | (~v115(constB113)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17458,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB113) | (~v115(constB113)))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17459,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB113) | (~v115(constB113))),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17458, 17457])).
% 34.24/22.84 tff(17460,plain,
% 34.24/22.84 (v114(constB113)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17459, 531, 17456])).
% 34.24/22.84 tff(17461,plain,
% 34.24/22.84 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB113) | (~v114(constB113)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB113) | (~v114(constB113)))),
% 34.24/22.84 inference(rewrite,[status(thm)],[])).
% 34.24/22.84 tff(17462,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB113) | (~v114(constB113)))),
% 34.24/22.84 inference(quant_inst,[status(thm)],[])).
% 34.24/22.84 tff(17463,plain,
% 34.24/22.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB113) | (~v114(constB113))),
% 34.24/22.84 inference(modus_ponens,[status(thm)],[17462, 17461])).
% 34.24/22.84 tff(17464,plain,
% 34.24/22.84 (v113(constB113)),
% 34.24/22.84 inference(unit_resolution,[status(thm)],[17463, 542, 17460])).
% 34.24/22.85 tff(17465,assumption,(v26(constB113)), introduced(assumption)).
% 34.24/22.85 tff(17466,plain,
% 34.24/22.85 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB113))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17467,plain,
% 34.24/22.85 ($false),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17466, 120, 17465])).
% 34.24/22.85 tff(17468,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 34.24/22.85 tff(17469,plain,
% 34.24/22.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17470,plain,
% 34.24/22.85 ((v26(constB113) | (~v113(constB113)) | v112(constB113)) <=> (v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17471,plain,
% 34.24/22.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113))))),
% 34.24/22.85 inference(monotonicity,[status(thm)],[17470])).
% 34.24/22.85 tff(17472,plain,
% 34.24/22.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 34.24/22.85 inference(transitivity,[status(thm)],[17471, 17469])).
% 34.24/22.85 tff(17473,plain,
% 34.24/22.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17474,plain,
% 34.24/22.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113))),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17473, 17472])).
% 34.24/22.85 tff(17475,plain,
% 34.24/22.85 (v112(constB113) | (~v113(constB113))),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17474, 556, 17468])).
% 34.24/22.85 tff(17476,plain,
% 34.24/22.85 (v112(constB113)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17475, 17464])).
% 34.24/22.85 tff(17477,plain,
% 34.24/22.85 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB113) | (~v112(constB113)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB113) | (~v112(constB113)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17478,plain,
% 34.24/22.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB113) | (~v112(constB113)))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17479,plain,
% 34.24/22.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB113) | (~v112(constB113))),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17478, 17477])).
% 34.24/22.85 tff(17480,plain,
% 34.24/22.85 (v108(constB113)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17479, 568, 17476])).
% 34.24/22.85 tff(17481,plain,
% 34.24/22.85 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17482,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 34.24/22.85 tff(17483,plain,
% 34.24/22.85 (nextState(constB113, constB114)),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17482, 17481])).
% 34.24/22.85 tff(17484,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17485,plain,
% 34.24/22.85 (((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114)) <=> ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17486,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))))),
% 34.24/22.85 inference(monotonicity,[status(thm)],[17485])).
% 34.24/22.85 tff(17487,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 34.24/22.85 inference(transitivity,[status(thm)],[17486, 17484])).
% 34.24/22.85 tff(17488,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17489,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17488, 17487])).
% 34.24/22.85 tff(17490,plain,
% 34.24/22.85 (v110(constB114) | (~v108(constB113))),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17489, 585, 17483])).
% 34.24/22.85 tff(17491,plain,
% 34.24/22.85 (v110(constB114)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17490, 17480])).
% 34.24/22.85 tff(17492,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17493,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17494,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114))),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17493, 17492])).
% 34.24/22.85 tff(17495,plain,
% 34.24/22.85 (~v104(constB114)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17494, 603, 17483, 17351])).
% 34.24/22.85 tff(17496,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17497,plain,
% 34.24/22.85 (((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114)) <=> ((~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17498,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | v102(constB114)))),
% 34.24/22.85 inference(monotonicity,[status(thm)],[17497])).
% 34.24/22.85 tff(17499,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))),
% 34.24/22.85 inference(transitivity,[status(thm)],[17498, 17496])).
% 34.24/22.85 tff(17500,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17501,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | v102(constB114)),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17500, 17499])).
% 34.24/22.85 tff(17502,plain,
% 34.24/22.85 (v104(constB114) | v102(constB114)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17501, 617, 17483])).
% 34.24/22.85 tff(17503,plain,
% 34.24/22.85 (v102(constB114)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17502, 17495])).
% 34.24/22.85 tff(17504,plain,
% 34.24/22.85 (v1(constB114) <=> v1(constB114)),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17505,axiom,(v1(constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 34.24/22.85 tff(17506,plain,
% 34.24/22.85 (v1(constB114)),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17505, 17504])).
% 34.24/22.85 tff(17507,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17508,plain,
% 34.24/22.85 (((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114))) <=> ((~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17509,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114))))),
% 34.24/22.85 inference(monotonicity,[status(thm)],[17508])).
% 34.24/22.85 tff(17510,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))),
% 34.24/22.85 inference(transitivity,[status(thm)],[17509, 17507])).
% 34.24/22.85 tff(17511,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17512,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114))),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17511, 17510])).
% 34.24/22.85 tff(17513,plain,
% 34.24/22.85 (v101(constB114) | (~v102(constB114))),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17512, 638, 17483, 17506])).
% 34.24/22.85 tff(17514,plain,
% 34.24/22.85 (v101(constB114)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17513, 17503])).
% 34.24/22.85 tff(17515,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17516,plain,
% 34.24/22.85 (((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114)) <=> ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17517,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))))),
% 34.24/22.85 inference(monotonicity,[status(thm)],[17516])).
% 34.24/22.85 tff(17518,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 34.24/22.85 inference(transitivity,[status(thm)],[17517, 17515])).
% 34.24/22.85 tff(17519,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17520,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17519, 17518])).
% 34.24/22.85 tff(17521,plain,
% 34.24/22.85 (v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17520, 656, 17483])).
% 34.24/22.85 tff(17522,plain,
% 34.24/22.85 (v100(constB114) | (~v110(constB114))),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17521, 17514])).
% 34.24/22.85 tff(17523,plain,
% 34.24/22.85 (v100(constB114)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17522, 17491])).
% 34.24/22.85 tff(17524,plain,
% 34.24/22.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB113)) | (~v130(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB113)) | (~v130(constB113, bitIndex2)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17525,plain,
% 34.24/22.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB113)) | (~v130(constB113, bitIndex2)))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17526,plain,
% 34.24/22.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB113)) | (~v130(constB113, bitIndex2))),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17525, 17524])).
% 34.24/22.85 tff(17527,plain,
% 34.24/22.85 (~v130(constB113, bitIndex2)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17526, 1342, 17444])).
% 34.24/22.85 tff(17528,plain,
% 34.24/22.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17529,plain,
% 34.24/22.85 ((v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2))) <=> ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17530,plain,
% 34.24/22.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2)))),
% 34.24/22.85 inference(monotonicity,[status(thm)],[17529])).
% 34.24/22.85 tff(17531,plain,
% 34.24/22.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 34.24/22.85 inference(transitivity,[status(thm)],[17530, 17528])).
% 34.24/22.85 tff(17532,plain,
% 34.24/22.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17533,plain,
% 34.24/22.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2)),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17532, 17531])).
% 34.24/22.85 tff(17534,plain,
% 34.24/22.85 ((~v127(constB113, bitIndex2)) | v130(constB113, bitIndex2)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17533, 689, 17468])).
% 34.24/22.85 tff(17535,plain,
% 34.24/22.85 (~v127(constB113, bitIndex2)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17534, 17527])).
% 34.24/22.85 tff(17536,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17537,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17538,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2))),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17537, 17536])).
% 34.24/22.85 tff(17539,plain,
% 34.24/22.85 (v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2))),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17538, 707, 17483])).
% 34.24/22.85 tff(17540,plain,
% 34.24/22.85 (~v129(constB114, bitIndex2)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17539, 17535])).
% 34.24/22.85 tff(17541,plain,
% 34.24/22.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17542,plain,
% 34.24/22.85 (((~v90(constB114, bitIndex2)) | (~v100(constB114)) | v129(constB114, bitIndex2)) <=> ((~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17543,plain,
% 34.24/22.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~v100(constB114)) | v129(constB114, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114))))),
% 34.24/22.85 inference(monotonicity,[status(thm)],[17542])).
% 34.24/22.85 tff(17544,plain,
% 34.24/22.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~v100(constB114)) | v129(constB114, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))),
% 34.24/22.85 inference(transitivity,[status(thm)],[17543, 17541])).
% 34.24/22.85 tff(17545,plain,
% 34.24/22.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~v100(constB114)) | v129(constB114, bitIndex2))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17546,plain,
% 34.24/22.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114))),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17545, 17544])).
% 34.24/22.85 tff(17547,plain,
% 34.24/22.85 ((~v90(constB114, bitIndex2)) | (~v100(constB114))),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17546, 722, 17540])).
% 34.24/22.85 tff(17548,plain,
% 34.24/22.85 (~v90(constB114, bitIndex2)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17547, 17523])).
% 34.24/22.85 tff(17549,plain,
% 34.24/22.85 ((~v1(constB115)) <=> (~v1(constB115))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17550,axiom,(~v1(constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 34.24/22.85 tff(17551,plain,
% 34.24/22.85 (~v1(constB115)),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17550, 17549])).
% 34.24/22.85 tff(17552,plain,
% 34.24/22.85 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17553,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 34.24/22.85 tff(17554,plain,
% 34.24/22.85 (nextState(constB114, constB115)),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17553, 17552])).
% 34.24/22.85 tff(17555,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17556,plain,
% 34.24/22.85 (((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17557,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))))),
% 34.24/22.85 inference(monotonicity,[status(thm)],[17556])).
% 34.24/22.85 tff(17558,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 34.24/22.85 inference(transitivity,[status(thm)],[17557, 17555])).
% 34.24/22.85 tff(17559,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17560,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17559, 17558])).
% 34.24/22.85 tff(17561,plain,
% 34.24/22.85 (~v101(constB115)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17560, 381, 17554, 17551])).
% 34.24/22.85 tff(17562,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17563,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17564,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115))),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17563, 17562])).
% 34.24/22.85 tff(17565,plain,
% 34.24/22.85 (v101(constB115) | (~v100(constB115))),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17564, 398, 17554])).
% 34.24/22.85 tff(17566,plain,
% 34.24/22.85 (~v100(constB115)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17565, 17561])).
% 34.24/22.85 tff(17567,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17568,plain,
% 34.24/22.85 (((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2))) <=> (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17569,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2))))),
% 34.24/22.85 inference(monotonicity,[status(thm)],[17568])).
% 34.24/22.85 tff(17570,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 34.24/22.85 inference(transitivity,[status(thm)],[17569, 17567])).
% 34.24/22.85 tff(17571,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17572,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2))),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17571, 17570])).
% 34.24/22.85 tff(17573,plain,
% 34.24/22.85 (v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2))),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17572, 413, 17554])).
% 34.24/22.85 tff(17574,plain,
% 34.24/22.85 (v90(constB114, bitIndex2) | (~v90(constB115, bitIndex2))),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17573, 17566])).
% 34.24/22.85 tff(17575,plain,
% 34.24/22.85 (~v90(constB115, bitIndex2)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17574, 17548])).
% 34.24/22.85 tff(17576,plain,
% 34.24/22.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB113)) | v130(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB113)) | v130(constB113, bitIndex1))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17577,plain,
% 34.24/22.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB113)) | v130(constB113, bitIndex1))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17578,plain,
% 34.24/22.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB113)) | v130(constB113, bitIndex1)),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17577, 17576])).
% 34.24/22.85 tff(17579,plain,
% 34.24/22.85 (v130(constB113, bitIndex1)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17578, 1404, 17444])).
% 34.24/22.85 tff(17580,plain,
% 34.24/22.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17581,plain,
% 34.24/22.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17582,plain,
% 34.24/22.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17581, 17580])).
% 34.24/22.85 tff(17583,plain,
% 34.24/22.85 ((~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17582, 1101, 17468])).
% 34.24/22.85 tff(17584,plain,
% 34.24/22.85 (v127(constB113, bitIndex1)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17583, 17579])).
% 34.24/22.85 tff(17585,plain,
% 34.24/22.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17586,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 34.24/22.85 inference(quant_inst,[status(thm)],[])).
% 34.24/22.85 tff(17587,plain,
% 34.24/22.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 34.24/22.85 inference(modus_ponens,[status(thm)],[17586, 17585])).
% 34.24/22.85 tff(17588,plain,
% 34.24/22.85 ((~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17587, 1116, 17483])).
% 34.24/22.85 tff(17589,plain,
% 34.24/22.85 (v129(constB114, bitIndex1)),
% 34.24/22.85 inference(unit_resolution,[status(thm)],[17588, 17584])).
% 34.24/22.85 tff(17590,plain,
% 34.24/22.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17591,plain,
% 34.24/22.85 ((v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1))) <=> (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 34.24/22.85 inference(rewrite,[status(thm)],[])).
% 34.24/22.85 tff(17592,plain,
% 34.24/22.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))))),
% 34.24/22.86 inference(monotonicity,[status(thm)],[17591])).
% 34.24/22.86 tff(17593,plain,
% 34.24/22.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 34.24/22.86 inference(transitivity,[status(thm)],[17592, 17590])).
% 34.24/22.86 tff(17594,plain,
% 34.24/22.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17595,plain,
% 34.24/22.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17594, 17593])).
% 34.24/22.86 tff(17596,plain,
% 34.24/22.86 (v90(constB114, bitIndex1) | (~v100(constB114))),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17595, 1131, 17589])).
% 34.24/22.86 tff(17597,plain,
% 34.24/22.86 (v90(constB114, bitIndex1)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17596, 17523])).
% 34.24/22.86 tff(17598,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17599,plain,
% 34.24/22.86 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)) <=> ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17600,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1)))),
% 34.24/22.86 inference(monotonicity,[status(thm)],[17599])).
% 34.24/22.86 tff(17601,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 34.24/22.86 inference(transitivity,[status(thm)],[17600, 17598])).
% 34.24/22.86 tff(17602,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17603,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1)),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17602, 17601])).
% 34.24/22.86 tff(17604,plain,
% 34.24/22.86 ((~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17603, 1149, 17554])).
% 34.24/22.86 tff(17605,plain,
% 34.24/22.86 ((~v90(constB114, bitIndex1)) | v90(constB115, bitIndex1)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17604, 17566])).
% 34.24/22.86 tff(17606,plain,
% 34.24/22.86 (v90(constB115, bitIndex1)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17605, 17597])).
% 34.24/22.86 tff(17607,plain,
% 34.24/22.86 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB113)) | v130(constB113, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB113)) | v130(constB113, bitIndex0))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17608,plain,
% 34.24/22.86 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB113)) | v130(constB113, bitIndex0))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17609,plain,
% 34.24/22.86 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB113)) | v130(constB113, bitIndex0)),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17608, 17607])).
% 34.24/22.86 tff(17610,plain,
% 34.24/22.86 (v130(constB113, bitIndex0)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17609, 1445, 17444])).
% 34.24/22.86 tff(17611,plain,
% 34.24/22.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17612,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17613,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0)),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17612, 17611])).
% 34.24/22.86 tff(17614,plain,
% 34.24/22.86 ((~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17613, 855, 17468])).
% 34.24/22.86 tff(17615,plain,
% 34.24/22.86 (v127(constB113, bitIndex0)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17614, 17610])).
% 34.24/22.86 tff(17616,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17617,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17618,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0)),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17617, 17616])).
% 34.24/22.86 tff(17619,plain,
% 34.24/22.86 ((~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17618, 870, 17483])).
% 34.24/22.86 tff(17620,plain,
% 34.24/22.86 (v129(constB114, bitIndex0)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17619, 17615])).
% 34.24/22.86 tff(17621,plain,
% 34.24/22.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17622,plain,
% 34.24/22.86 ((v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0))) <=> (v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17623,plain,
% 34.24/22.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114))))),
% 34.24/22.86 inference(monotonicity,[status(thm)],[17622])).
% 34.24/22.86 tff(17624,plain,
% 34.24/22.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))),
% 34.24/22.86 inference(transitivity,[status(thm)],[17623, 17621])).
% 34.24/22.86 tff(17625,plain,
% 34.24/22.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0)))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17626,plain,
% 34.24/22.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114))),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17625, 17624])).
% 34.24/22.86 tff(17627,plain,
% 34.24/22.86 (v90(constB114, bitIndex0) | (~v100(constB114))),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17626, 885, 17620])).
% 34.24/22.86 tff(17628,plain,
% 34.24/22.86 (v90(constB114, bitIndex0)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17627, 17523])).
% 34.24/22.86 tff(17629,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17630,plain,
% 34.24/22.86 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0)) <=> ((~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17631,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0)))),
% 34.24/22.86 inference(monotonicity,[status(thm)],[17630])).
% 34.24/22.86 tff(17632,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))),
% 34.24/22.86 inference(transitivity,[status(thm)],[17631, 17629])).
% 34.24/22.86 tff(17633,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17634,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0)),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17633, 17632])).
% 34.24/22.86 tff(17635,plain,
% 34.24/22.86 ((~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17634, 903, 17554])).
% 34.24/22.86 tff(17636,plain,
% 34.24/22.86 ((~v90(constB114, bitIndex0)) | v90(constB115, bitIndex0)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17635, 17566])).
% 34.24/22.86 tff(17637,plain,
% 34.24/22.86 (v90(constB115, bitIndex0)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17636, 17628])).
% 34.24/22.86 tff(17638,plain,
% 34.24/22.86 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17639,plain,
% 34.24/22.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17640,plain,
% 34.24/22.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115)),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17639, 17638])).
% 34.24/22.86 tff(17641,plain,
% 34.24/22.86 (v122(constB115)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17640, 1486, 17637, 17606, 17575])).
% 34.24/22.86 tff(17642,plain,
% 34.24/22.86 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB115) | (~v122(constB115)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB115) | (~v122(constB115)))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17643,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB115) | (~v122(constB115)))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17644,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB115) | (~v122(constB115))),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17643, 17642])).
% 34.24/22.86 tff(17645,plain,
% 34.24/22.86 (v116(constB115)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17644, 1497, 17641])).
% 34.24/22.86 tff(17646,plain,
% 34.24/22.86 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB115) | (~v116(constB115)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB115) | (~v116(constB115)))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17647,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB115) | (~v116(constB115)))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17648,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB115) | (~v116(constB115))),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17647, 17646])).
% 34.24/22.86 tff(17649,plain,
% 34.24/22.86 (v115(constB115)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17648, 520, 17645])).
% 34.24/22.86 tff(17650,plain,
% 34.24/22.86 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB115) | (~v115(constB115)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB115) | (~v115(constB115)))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17651,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB115) | (~v115(constB115)))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17652,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB115) | (~v115(constB115))),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17651, 17650])).
% 34.24/22.86 tff(17653,plain,
% 34.24/22.86 (v114(constB115)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17652, 531, 17649])).
% 34.24/22.86 tff(17654,plain,
% 34.24/22.86 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB115) | (~v114(constB115)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB115) | (~v114(constB115)))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17655,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB115) | (~v114(constB115)))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17656,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB115) | (~v114(constB115))),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17655, 17654])).
% 34.24/22.86 tff(17657,plain,
% 34.24/22.86 (v113(constB115)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17656, 542, 17653])).
% 34.24/22.86 tff(17658,assumption,(v26(constB115)), introduced(assumption)).
% 34.24/22.86 tff(17659,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB115))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17660,plain,
% 34.24/22.86 ($false),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17659, 120, 17658])).
% 34.24/22.86 tff(17661,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 34.24/22.86 tff(17662,plain,
% 34.24/22.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17663,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17664,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | (~v113(constB115)) | v112(constB115)),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17663, 17662])).
% 34.24/22.86 tff(17665,plain,
% 34.24/22.86 ((~v113(constB115)) | v112(constB115)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17664, 556, 17661])).
% 34.24/22.86 tff(17666,plain,
% 34.24/22.86 (v112(constB115)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17665, 17657])).
% 34.24/22.86 tff(17667,plain,
% 34.24/22.86 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB115) | (~v112(constB115)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB115) | (~v112(constB115)))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17668,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB115) | (~v112(constB115)))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17669,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB115) | (~v112(constB115))),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17668, 17667])).
% 34.24/22.86 tff(17670,plain,
% 34.24/22.86 (v108(constB115)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17669, 568, 17666])).
% 34.24/22.86 tff(17671,plain,
% 34.24/22.86 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17672,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 34.24/22.86 tff(17673,plain,
% 34.24/22.86 (nextState(constB115, constB116)),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17672, 17671])).
% 34.24/22.86 tff(17674,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17675,plain,
% 34.24/22.86 (((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116)) <=> ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17676,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))))),
% 34.24/22.86 inference(monotonicity,[status(thm)],[17675])).
% 34.24/22.86 tff(17677,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 34.24/22.86 inference(transitivity,[status(thm)],[17676, 17674])).
% 34.24/22.86 tff(17678,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17679,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17678, 17677])).
% 34.24/22.86 tff(17680,plain,
% 34.24/22.86 (v110(constB116) | (~v108(constB115))),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17679, 585, 17673])).
% 34.24/22.86 tff(17681,plain,
% 34.24/22.86 (v110(constB116)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17680, 17670])).
% 34.24/22.86 tff(17682,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17683,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17684,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116))),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17683, 17682])).
% 34.24/22.86 tff(17685,plain,
% 34.24/22.86 (~v104(constB116)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17684, 603, 17673, 17551])).
% 34.24/22.86 tff(17686,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17687,plain,
% 34.24/22.86 (((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116)) <=> ((~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17688,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v102(constB116)))),
% 34.24/22.86 inference(monotonicity,[status(thm)],[17687])).
% 34.24/22.86 tff(17689,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))),
% 34.24/22.86 inference(transitivity,[status(thm)],[17688, 17686])).
% 34.24/22.86 tff(17690,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17691,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | v102(constB116)),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17690, 17689])).
% 34.24/22.86 tff(17692,plain,
% 34.24/22.86 (v104(constB116) | v102(constB116)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17691, 617, 17673])).
% 34.24/22.86 tff(17693,plain,
% 34.24/22.86 (v102(constB116)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17692, 17685])).
% 34.24/22.86 tff(17694,plain,
% 34.24/22.86 (v1(constB116) <=> v1(constB116)),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17695,axiom,(v1(constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 34.24/22.86 tff(17696,plain,
% 34.24/22.86 (v1(constB116)),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17695, 17694])).
% 34.24/22.86 tff(17697,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17698,plain,
% 34.24/22.86 (((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116))) <=> ((~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17699,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116))))),
% 34.24/22.86 inference(monotonicity,[status(thm)],[17698])).
% 34.24/22.86 tff(17700,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))),
% 34.24/22.86 inference(transitivity,[status(thm)],[17699, 17697])).
% 34.24/22.86 tff(17701,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17702,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116))),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17701, 17700])).
% 34.24/22.86 tff(17703,plain,
% 34.24/22.86 (v101(constB116) | (~v102(constB116))),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17702, 638, 17673, 17696])).
% 34.24/22.86 tff(17704,plain,
% 34.24/22.86 (v101(constB116)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17703, 17693])).
% 34.24/22.86 tff(17705,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17706,plain,
% 34.24/22.86 (((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116)) <=> ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17707,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))))),
% 34.24/22.86 inference(monotonicity,[status(thm)],[17706])).
% 34.24/22.86 tff(17708,plain,
% 34.24/22.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 34.24/22.86 inference(transitivity,[status(thm)],[17707, 17705])).
% 34.24/22.86 tff(17709,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17710,plain,
% 34.24/22.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17709, 17708])).
% 34.24/22.86 tff(17711,plain,
% 34.24/22.86 (v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17710, 656, 17673])).
% 34.24/22.86 tff(17712,plain,
% 34.24/22.86 (v100(constB116) | (~v110(constB116))),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17711, 17704])).
% 34.24/22.86 tff(17713,plain,
% 34.24/22.86 (v100(constB116)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17712, 17681])).
% 34.24/22.86 tff(17714,plain,
% 34.24/22.86 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB115)) | v130(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB115)) | v130(constB115, bitIndex2))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17715,plain,
% 34.24/22.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB115)) | v130(constB115, bitIndex2))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17716,plain,
% 34.24/22.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB115)) | v130(constB115, bitIndex2)),
% 34.24/22.86 inference(modus_ponens,[status(thm)],[17715, 17714])).
% 34.24/22.86 tff(17717,plain,
% 34.24/22.86 (v130(constB115, bitIndex2)),
% 34.24/22.86 inference(unit_resolution,[status(thm)],[17716, 1578, 17641])).
% 34.24/22.86 tff(17718,plain,
% 34.24/22.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))),
% 34.24/22.86 inference(rewrite,[status(thm)],[])).
% 34.24/22.86 tff(17719,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))),
% 34.24/22.86 inference(quant_inst,[status(thm)],[])).
% 34.24/22.86 tff(17720,plain,
% 34.24/22.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2)),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17719, 17718])).
% 34.24/22.87 tff(17721,plain,
% 34.24/22.87 ((~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17720, 1592, 17661])).
% 34.24/22.87 tff(17722,plain,
% 34.24/22.87 (v127(constB115, bitIndex2)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17721, 17717])).
% 34.24/22.87 tff(17723,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17724,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))),
% 34.24/22.87 inference(quant_inst,[status(thm)],[])).
% 34.24/22.87 tff(17725,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2)),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17724, 17723])).
% 34.24/22.87 tff(17726,plain,
% 34.24/22.87 ((~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17725, 1607, 17673])).
% 34.24/22.87 tff(17727,plain,
% 34.24/22.87 (v129(constB116, bitIndex2)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17726, 17722])).
% 34.24/22.87 tff(17728,plain,
% 34.24/22.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17729,plain,
% 34.24/22.87 ((v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2))) <=> (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17730,plain,
% 34.24/22.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116))))),
% 34.24/22.87 inference(monotonicity,[status(thm)],[17729])).
% 34.24/22.87 tff(17731,plain,
% 34.24/22.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 34.24/22.87 inference(transitivity,[status(thm)],[17730, 17728])).
% 34.24/22.87 tff(17732,plain,
% 34.24/22.87 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))),
% 34.24/22.87 inference(quant_inst,[status(thm)],[])).
% 34.24/22.87 tff(17733,plain,
% 34.24/22.87 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116))),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17732, 17731])).
% 34.24/22.87 tff(17734,plain,
% 34.24/22.87 (v90(constB116, bitIndex2) | (~v100(constB116))),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17733, 1622, 17727])).
% 34.24/22.87 tff(17735,plain,
% 34.24/22.87 (v90(constB116, bitIndex2)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17734, 17713])).
% 34.24/22.87 tff(17736,plain,
% 34.24/22.87 ((~v1(constB117)) <=> (~v1(constB117))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17737,axiom,(~v1(constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 34.24/22.87 tff(17738,plain,
% 34.24/22.87 (~v1(constB117)),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17737, 17736])).
% 34.24/22.87 tff(17739,plain,
% 34.24/22.87 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17740,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 34.24/22.87 tff(17741,plain,
% 34.24/22.87 (nextState(constB116, constB117)),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17740, 17739])).
% 34.24/22.87 tff(17742,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17743,plain,
% 34.24/22.87 (((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17744,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))))),
% 34.24/22.87 inference(monotonicity,[status(thm)],[17743])).
% 34.24/22.87 tff(17745,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 34.24/22.87 inference(transitivity,[status(thm)],[17744, 17742])).
% 34.24/22.87 tff(17746,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))),
% 34.24/22.87 inference(quant_inst,[status(thm)],[])).
% 34.24/22.87 tff(17747,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17746, 17745])).
% 34.24/22.87 tff(17748,plain,
% 34.24/22.87 (~v101(constB117)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17747, 381, 17741, 17738])).
% 34.24/22.87 tff(17749,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17750,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 34.24/22.87 inference(quant_inst,[status(thm)],[])).
% 34.24/22.87 tff(17751,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117))),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17750, 17749])).
% 34.24/22.87 tff(17752,plain,
% 34.24/22.87 (v101(constB117) | (~v100(constB117))),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17751, 398, 17741])).
% 34.24/22.87 tff(17753,plain,
% 34.24/22.87 (~v100(constB117)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17752, 17748])).
% 34.24/22.87 tff(17754,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17755,plain,
% 34.24/22.87 (((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2)) <=> ((~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17756,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2)))),
% 34.24/22.87 inference(monotonicity,[status(thm)],[17755])).
% 34.24/22.87 tff(17757,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))),
% 34.24/22.87 inference(transitivity,[status(thm)],[17756, 17754])).
% 34.24/22.87 tff(17758,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2))),
% 34.24/22.87 inference(quant_inst,[status(thm)],[])).
% 34.24/22.87 tff(17759,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2)),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17758, 17757])).
% 34.24/22.87 tff(17760,plain,
% 34.24/22.87 ((~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17759, 1658, 17741])).
% 34.24/22.87 tff(17761,plain,
% 34.24/22.87 ((~v90(constB116, bitIndex2)) | v90(constB117, bitIndex2)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17760, 17753])).
% 34.24/22.87 tff(17762,plain,
% 34.24/22.87 (v90(constB117, bitIndex2)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17761, 17735])).
% 34.24/22.87 tff(17763,plain,
% 34.24/22.87 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB115)) | (~v130(constB115, bitIndex1)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17764,plain,
% 34.24/22.87 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex1)))),
% 34.24/22.87 inference(quant_inst,[status(thm)],[])).
% 34.24/22.87 tff(17765,plain,
% 34.24/22.87 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB115)) | (~v130(constB115, bitIndex1))),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17764, 17763])).
% 34.24/22.87 tff(17766,plain,
% 34.24/22.87 (~v130(constB115, bitIndex1)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17765, 1677, 17641])).
% 34.24/22.87 tff(17767,plain,
% 34.24/22.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17768,plain,
% 34.24/22.87 ((v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1))) <=> ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17769,plain,
% 34.24/22.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)))),
% 34.24/22.87 inference(monotonicity,[status(thm)],[17768])).
% 34.24/22.87 tff(17770,plain,
% 34.24/22.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 34.24/22.87 inference(transitivity,[status(thm)],[17769, 17767])).
% 34.24/22.87 tff(17771,plain,
% 34.24/22.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))),
% 34.24/22.87 inference(quant_inst,[status(thm)],[])).
% 34.24/22.87 tff(17772,plain,
% 34.24/22.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17771, 17770])).
% 34.24/22.87 tff(17773,plain,
% 34.24/22.87 ((~v127(constB115, bitIndex1)) | v130(constB115, bitIndex1)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17772, 781, 17661])).
% 34.24/22.87 tff(17774,plain,
% 34.24/22.87 (~v127(constB115, bitIndex1)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17773, 17766])).
% 34.24/22.87 tff(17775,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17776,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 34.24/22.87 inference(quant_inst,[status(thm)],[])).
% 34.24/22.87 tff(17777,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17776, 17775])).
% 34.24/22.87 tff(17778,plain,
% 34.24/22.87 (v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17777, 799, 17673])).
% 34.24/22.87 tff(17779,plain,
% 34.24/22.87 (~v129(constB116, bitIndex1)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17778, 17774])).
% 34.24/22.87 tff(17780,plain,
% 34.24/22.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17781,plain,
% 34.24/22.87 (((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1)) <=> ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17782,plain,
% 34.24/22.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))))),
% 34.24/22.87 inference(monotonicity,[status(thm)],[17781])).
% 34.24/22.87 tff(17783,plain,
% 34.24/22.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 34.24/22.87 inference(transitivity,[status(thm)],[17782, 17780])).
% 34.24/22.87 tff(17784,plain,
% 34.24/22.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))),
% 34.24/22.87 inference(quant_inst,[status(thm)],[])).
% 34.24/22.87 tff(17785,plain,
% 34.24/22.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17784, 17783])).
% 34.24/22.87 tff(17786,plain,
% 34.24/22.87 ((~v90(constB116, bitIndex1)) | (~v100(constB116))),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17785, 814, 17779])).
% 34.24/22.87 tff(17787,plain,
% 34.24/22.87 (~v90(constB116, bitIndex1)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17786, 17713])).
% 34.24/22.87 tff(17788,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17789,plain,
% 34.24/22.87 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))) <=> (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17790,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1))))),
% 34.24/22.87 inference(monotonicity,[status(thm)],[17789])).
% 34.24/22.87 tff(17791,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 34.24/22.87 inference(transitivity,[status(thm)],[17790, 17788])).
% 34.24/22.87 tff(17792,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 34.24/22.87 inference(quant_inst,[status(thm)],[])).
% 34.24/22.87 tff(17793,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17792, 17791])).
% 34.24/22.87 tff(17794,plain,
% 34.24/22.87 (v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17793, 434, 17741])).
% 34.24/22.87 tff(17795,plain,
% 34.24/22.87 (v90(constB116, bitIndex1) | (~v90(constB117, bitIndex1))),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17794, 17753])).
% 34.24/22.87 tff(17796,plain,
% 34.24/22.87 (~v90(constB117, bitIndex1)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17795, 17787])).
% 34.24/22.87 tff(17797,plain,
% 34.24/22.87 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB115)) | (~v130(constB115, bitIndex0)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17798,plain,
% 34.24/22.87 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex0)))),
% 34.24/22.87 inference(quant_inst,[status(thm)],[])).
% 34.24/22.87 tff(17799,plain,
% 34.24/22.87 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB115)) | (~v130(constB115, bitIndex0))),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17798, 17797])).
% 34.24/22.87 tff(17800,plain,
% 34.24/22.87 (~v130(constB115, bitIndex0)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17799, 1721, 17641])).
% 34.24/22.87 tff(17801,plain,
% 34.24/22.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17802,plain,
% 34.24/22.87 ((v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0))) <=> ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17803,plain,
% 34.24/22.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0)))),
% 34.24/22.87 inference(monotonicity,[status(thm)],[17802])).
% 34.24/22.87 tff(17804,plain,
% 34.24/22.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 34.24/22.87 inference(transitivity,[status(thm)],[17803, 17801])).
% 34.24/22.87 tff(17805,plain,
% 34.24/22.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))),
% 34.24/22.87 inference(quant_inst,[status(thm)],[])).
% 34.24/22.87 tff(17806,plain,
% 34.24/22.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0)),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17805, 17804])).
% 34.24/22.87 tff(17807,plain,
% 34.24/22.87 ((~v127(constB115, bitIndex0)) | v130(constB115, bitIndex0)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17806, 1182, 17661])).
% 34.24/22.87 tff(17808,plain,
% 34.24/22.87 (~v127(constB115, bitIndex0)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17807, 17800])).
% 34.24/22.87 tff(17809,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17810,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))),
% 34.24/22.87 inference(quant_inst,[status(thm)],[])).
% 34.24/22.87 tff(17811,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0))),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17810, 17809])).
% 34.24/22.87 tff(17812,plain,
% 34.24/22.87 (v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0))),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17811, 1200, 17673])).
% 34.24/22.87 tff(17813,plain,
% 34.24/22.87 (~v129(constB116, bitIndex0)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17812, 17808])).
% 34.24/22.87 tff(17814,plain,
% 34.24/22.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17815,plain,
% 34.24/22.87 (((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0)) <=> ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17816,plain,
% 34.24/22.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116))))),
% 34.24/22.87 inference(monotonicity,[status(thm)],[17815])).
% 34.24/22.87 tff(17817,plain,
% 34.24/22.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 34.24/22.87 inference(transitivity,[status(thm)],[17816, 17814])).
% 34.24/22.87 tff(17818,plain,
% 34.24/22.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))),
% 34.24/22.87 inference(quant_inst,[status(thm)],[])).
% 34.24/22.87 tff(17819,plain,
% 34.24/22.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116))),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17818, 17817])).
% 34.24/22.87 tff(17820,plain,
% 34.24/22.87 ((~v90(constB116, bitIndex0)) | (~v100(constB116))),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17819, 1215, 17813])).
% 34.24/22.87 tff(17821,plain,
% 34.24/22.87 (~v90(constB116, bitIndex0)),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17820, 17713])).
% 34.24/22.87 tff(17822,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17823,plain,
% 34.24/22.87 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0))) <=> (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 34.24/22.87 inference(rewrite,[status(thm)],[])).
% 34.24/22.87 tff(17824,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0))))),
% 34.24/22.87 inference(monotonicity,[status(thm)],[17823])).
% 34.24/22.87 tff(17825,plain,
% 34.24/22.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 34.24/22.87 inference(transitivity,[status(thm)],[17824, 17822])).
% 34.24/22.87 tff(17826,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 34.24/22.87 inference(quant_inst,[status(thm)],[])).
% 34.24/22.87 tff(17827,plain,
% 34.24/22.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0))),
% 34.24/22.87 inference(modus_ponens,[status(thm)],[17826, 17825])).
% 34.24/22.87 tff(17828,plain,
% 34.24/22.87 (v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0))),
% 34.24/22.87 inference(unit_resolution,[status(thm)],[17827, 455, 17741])).
% 34.24/22.88 tff(17829,plain,
% 34.24/22.88 (v90(constB116, bitIndex0) | (~v90(constB117, bitIndex0))),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17828, 17753])).
% 34.24/22.88 tff(17830,plain,
% 34.24/22.88 (~v90(constB117, bitIndex0)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17829, 17821])).
% 34.24/22.88 tff(17831,plain,
% 34.24/22.88 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17832,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17833,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117)),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17832, 17831])).
% 34.24/22.88 tff(17834,plain,
% 34.24/22.88 (v123(constB117)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17833, 1765, 17830, 17796, 17762])).
% 34.24/22.88 tff(17835,plain,
% 34.24/22.88 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB117) | (~v123(constB117)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB117) | (~v123(constB117)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17836,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB117) | (~v123(constB117)))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17837,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB117) | (~v123(constB117))),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17836, 17835])).
% 34.24/22.88 tff(17838,plain,
% 34.24/22.88 (v115(constB117)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17837, 1776, 17834])).
% 34.24/22.88 tff(17839,plain,
% 34.24/22.88 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB117) | (~v115(constB117)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB117) | (~v115(constB117)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17840,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB117) | (~v115(constB117)))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17841,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB117) | (~v115(constB117))),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17840, 17839])).
% 34.24/22.88 tff(17842,plain,
% 34.24/22.88 (v114(constB117)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17841, 531, 17838])).
% 34.24/22.88 tff(17843,plain,
% 34.24/22.88 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB117) | (~v114(constB117)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB117) | (~v114(constB117)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17844,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB117) | (~v114(constB117)))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17845,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB117) | (~v114(constB117))),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17844, 17843])).
% 34.24/22.88 tff(17846,plain,
% 34.24/22.88 (v113(constB117)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17845, 542, 17842])).
% 34.24/22.88 tff(17847,assumption,(v26(constB117)), introduced(assumption)).
% 34.24/22.88 tff(17848,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB117))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17849,plain,
% 34.24/22.88 ($false),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17848, 120, 17847])).
% 34.24/22.88 tff(17850,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 34.24/22.88 tff(17851,plain,
% 34.24/22.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17852,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17853,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | (~v113(constB117)) | v112(constB117)),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17852, 17851])).
% 34.24/22.88 tff(17854,plain,
% 34.24/22.88 ((~v113(constB117)) | v112(constB117)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17853, 556, 17850])).
% 34.24/22.88 tff(17855,plain,
% 34.24/22.88 (v112(constB117)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17854, 17846])).
% 34.24/22.88 tff(17856,plain,
% 34.24/22.88 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB117) | (~v112(constB117)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17857,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB117) | (~v112(constB117)))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17858,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB117) | (~v112(constB117))),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17857, 17856])).
% 34.24/22.88 tff(17859,plain,
% 34.24/22.88 (v108(constB117)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17858, 568, 17855])).
% 34.24/22.88 tff(17860,plain,
% 34.24/22.88 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17861,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 34.24/22.88 tff(17862,plain,
% 34.24/22.88 (nextState(constB117, constB118)),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17861, 17860])).
% 34.24/22.88 tff(17863,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17864,plain,
% 34.24/22.88 (((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118)) <=> ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17865,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))))),
% 34.24/22.88 inference(monotonicity,[status(thm)],[17864])).
% 34.24/22.88 tff(17866,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 34.24/22.88 inference(transitivity,[status(thm)],[17865, 17863])).
% 34.24/22.88 tff(17867,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17868,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17867, 17866])).
% 34.24/22.88 tff(17869,plain,
% 34.24/22.88 (v110(constB118) | (~v108(constB117))),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17868, 585, 17862])).
% 34.24/22.88 tff(17870,plain,
% 34.24/22.88 (v110(constB118)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17869, 17859])).
% 34.24/22.88 tff(17871,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17872,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17873,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118))),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17872, 17871])).
% 34.24/22.88 tff(17874,plain,
% 34.24/22.88 (~v104(constB118)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17873, 603, 17862, 17738])).
% 34.24/22.88 tff(17875,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17876,plain,
% 34.24/22.88 (((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118)) <=> ((~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17877,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | v102(constB118)))),
% 34.24/22.88 inference(monotonicity,[status(thm)],[17876])).
% 34.24/22.88 tff(17878,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))),
% 34.24/22.88 inference(transitivity,[status(thm)],[17877, 17875])).
% 34.24/22.88 tff(17879,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17880,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | v102(constB118)),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17879, 17878])).
% 34.24/22.88 tff(17881,plain,
% 34.24/22.88 (v104(constB118) | v102(constB118)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17880, 617, 17862])).
% 34.24/22.88 tff(17882,plain,
% 34.24/22.88 (v102(constB118)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17881, 17874])).
% 34.24/22.88 tff(17883,plain,
% 34.24/22.88 (v1(constB118) <=> v1(constB118)),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17884,axiom,(v1(constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 34.24/22.88 tff(17885,plain,
% 34.24/22.88 (v1(constB118)),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17884, 17883])).
% 34.24/22.88 tff(17886,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17887,plain,
% 34.24/22.88 (((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118))) <=> ((~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17888,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118))))),
% 34.24/22.88 inference(monotonicity,[status(thm)],[17887])).
% 34.24/22.88 tff(17889,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))),
% 34.24/22.88 inference(transitivity,[status(thm)],[17888, 17886])).
% 34.24/22.88 tff(17890,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17891,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118))),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17890, 17889])).
% 34.24/22.88 tff(17892,plain,
% 34.24/22.88 (v101(constB118) | (~v102(constB118))),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17891, 638, 17862, 17885])).
% 34.24/22.88 tff(17893,plain,
% 34.24/22.88 (v101(constB118)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17892, 17882])).
% 34.24/22.88 tff(17894,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17895,plain,
% 34.24/22.88 (((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118)) <=> ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17896,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))))),
% 34.24/22.88 inference(monotonicity,[status(thm)],[17895])).
% 34.24/22.88 tff(17897,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 34.24/22.88 inference(transitivity,[status(thm)],[17896, 17894])).
% 34.24/22.88 tff(17898,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17899,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17898, 17897])).
% 34.24/22.88 tff(17900,plain,
% 34.24/22.88 (v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17899, 656, 17862])).
% 34.24/22.88 tff(17901,plain,
% 34.24/22.88 (v100(constB118) | (~v110(constB118))),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17900, 17893])).
% 34.24/22.88 tff(17902,plain,
% 34.24/22.88 (v100(constB118)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17901, 17870])).
% 34.24/22.88 tff(17903,plain,
% 34.24/22.88 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB117)) | v130(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB117)) | v130(constB117, bitIndex2))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17904,plain,
% 34.24/22.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB117)) | v130(constB117, bitIndex2))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17905,plain,
% 34.24/22.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB117)) | v130(constB117, bitIndex2)),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17904, 17903])).
% 34.24/22.88 tff(17906,plain,
% 34.24/22.88 (v130(constB117, bitIndex2)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17905, 1850, 17834])).
% 34.24/22.88 tff(17907,plain,
% 34.24/22.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17908,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17909,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2)),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17908, 17907])).
% 34.24/22.88 tff(17910,plain,
% 34.24/22.88 ((~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17909, 1592, 17850])).
% 34.24/22.88 tff(17911,plain,
% 34.24/22.88 (v127(constB117, bitIndex2)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17910, 17906])).
% 34.24/22.88 tff(17912,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17913,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17914,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2)),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17913, 17912])).
% 34.24/22.88 tff(17915,plain,
% 34.24/22.88 ((~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17914, 1607, 17862])).
% 34.24/22.88 tff(17916,plain,
% 34.24/22.88 (v129(constB118, bitIndex2)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17915, 17911])).
% 34.24/22.88 tff(17917,plain,
% 34.24/22.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17918,plain,
% 34.24/22.88 ((v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2))) <=> (v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17919,plain,
% 34.24/22.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118))))),
% 34.24/22.88 inference(monotonicity,[status(thm)],[17918])).
% 34.24/22.88 tff(17920,plain,
% 34.24/22.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))),
% 34.24/22.88 inference(transitivity,[status(thm)],[17919, 17917])).
% 34.24/22.88 tff(17921,plain,
% 34.24/22.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2)))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17922,plain,
% 34.24/22.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118))),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17921, 17920])).
% 34.24/22.88 tff(17923,plain,
% 34.24/22.88 (v90(constB118, bitIndex2) | (~v100(constB118))),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17922, 1622, 17916])).
% 34.24/22.88 tff(17924,plain,
% 34.24/22.88 (v90(constB118, bitIndex2)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17923, 17902])).
% 34.24/22.88 tff(17925,plain,
% 34.24/22.88 ((~v1(constB119)) <=> (~v1(constB119))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17926,axiom,(~v1(constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 34.24/22.88 tff(17927,plain,
% 34.24/22.88 (~v1(constB119)),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17926, 17925])).
% 34.24/22.88 tff(17928,plain,
% 34.24/22.88 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17929,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 34.24/22.88 tff(17930,plain,
% 34.24/22.88 (nextState(constB118, constB119)),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17929, 17928])).
% 34.24/22.88 tff(17931,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17932,plain,
% 34.24/22.88 (((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17933,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))))),
% 34.24/22.88 inference(monotonicity,[status(thm)],[17932])).
% 34.24/22.88 tff(17934,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 34.24/22.88 inference(transitivity,[status(thm)],[17933, 17931])).
% 34.24/22.88 tff(17935,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17936,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17935, 17934])).
% 34.24/22.88 tff(17937,plain,
% 34.24/22.88 (~v101(constB119)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17936, 381, 17930, 17927])).
% 34.24/22.88 tff(17938,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17939,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17940,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119))),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17939, 17938])).
% 34.24/22.88 tff(17941,plain,
% 34.24/22.88 (v101(constB119) | (~v100(constB119))),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17940, 398, 17930])).
% 34.24/22.88 tff(17942,plain,
% 34.24/22.88 (~v100(constB119)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17941, 17937])).
% 34.24/22.88 tff(17943,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17944,plain,
% 34.24/22.88 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2)) <=> ((~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17945,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2)))),
% 34.24/22.88 inference(monotonicity,[status(thm)],[17944])).
% 34.24/22.88 tff(17946,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))),
% 34.24/22.88 inference(transitivity,[status(thm)],[17945, 17943])).
% 34.24/22.88 tff(17947,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17948,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2)),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17947, 17946])).
% 34.24/22.88 tff(17949,plain,
% 34.24/22.88 ((~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17948, 1658, 17930])).
% 34.24/22.88 tff(17950,plain,
% 34.24/22.88 ((~v90(constB118, bitIndex2)) | v90(constB119, bitIndex2)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17949, 17942])).
% 34.24/22.88 tff(17951,plain,
% 34.24/22.88 (v90(constB119, bitIndex2)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17950, 17924])).
% 34.24/22.88 tff(17952,plain,
% 34.24/22.88 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB117)) | (~v130(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB117)) | (~v130(constB117, bitIndex1)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17953,plain,
% 34.24/22.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB117)) | (~v130(constB117, bitIndex1)))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17954,plain,
% 34.24/22.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB117)) | (~v130(constB117, bitIndex1))),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17953, 17952])).
% 34.24/22.88 tff(17955,plain,
% 34.24/22.88 (~v130(constB117, bitIndex1)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17954, 1909, 17834])).
% 34.24/22.88 tff(17956,plain,
% 34.24/22.88 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17957,plain,
% 34.24/22.88 ((v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1))) <=> ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17958,plain,
% 34.24/22.88 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1)))),
% 34.24/22.88 inference(monotonicity,[status(thm)],[17957])).
% 34.24/22.88 tff(17959,plain,
% 34.24/22.88 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 34.24/22.88 inference(transitivity,[status(thm)],[17958, 17956])).
% 34.24/22.88 tff(17960,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17961,plain,
% 34.24/22.88 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1)),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17960, 17959])).
% 34.24/22.88 tff(17962,plain,
% 34.24/22.88 ((~v127(constB117, bitIndex1)) | v130(constB117, bitIndex1)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17961, 781, 17850])).
% 34.24/22.88 tff(17963,plain,
% 34.24/22.88 (~v127(constB117, bitIndex1)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17962, 17955])).
% 34.24/22.88 tff(17964,plain,
% 34.24/22.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))),
% 34.24/22.88 inference(rewrite,[status(thm)],[])).
% 34.24/22.88 tff(17965,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))),
% 34.24/22.88 inference(quant_inst,[status(thm)],[])).
% 34.24/22.88 tff(17966,plain,
% 34.24/22.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1))),
% 34.24/22.88 inference(modus_ponens,[status(thm)],[17965, 17964])).
% 34.24/22.88 tff(17967,plain,
% 34.24/22.88 (v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1))),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17966, 799, 17862])).
% 34.24/22.88 tff(17968,plain,
% 34.24/22.88 (~v129(constB118, bitIndex1)),
% 34.24/22.88 inference(unit_resolution,[status(thm)],[17967, 17963])).
% 34.24/22.88 tff(17969,plain,
% 34.24/22.88 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(17970,plain,
% 34.24/22.89 (((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1)) <=> ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(17971,plain,
% 34.24/22.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118))))),
% 34.24/22.89 inference(monotonicity,[status(thm)],[17970])).
% 34.24/22.89 tff(17972,plain,
% 34.24/22.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 34.24/22.89 inference(transitivity,[status(thm)],[17971, 17969])).
% 34.24/22.89 tff(17973,plain,
% 34.24/22.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(17974,plain,
% 34.24/22.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118))),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[17973, 17972])).
% 34.24/22.89 tff(17975,plain,
% 34.24/22.89 ((~v90(constB118, bitIndex1)) | (~v100(constB118))),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[17974, 814, 17968])).
% 34.24/22.89 tff(17976,plain,
% 34.24/22.89 (~v90(constB118, bitIndex1)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[17975, 17902])).
% 34.24/22.89 tff(17977,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(17978,plain,
% 34.24/22.89 (((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1))) <=> (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(17979,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1))))),
% 34.24/22.89 inference(monotonicity,[status(thm)],[17978])).
% 34.24/22.89 tff(17980,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 34.24/22.89 inference(transitivity,[status(thm)],[17979, 17977])).
% 34.24/22.89 tff(17981,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(17982,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1))),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[17981, 17980])).
% 34.24/22.89 tff(17983,plain,
% 34.24/22.89 (v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1))),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[17982, 434, 17930])).
% 34.24/22.89 tff(17984,plain,
% 34.24/22.89 (v90(constB118, bitIndex1) | (~v90(constB119, bitIndex1))),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[17983, 17942])).
% 34.24/22.89 tff(17985,plain,
% 34.24/22.89 (~v90(constB119, bitIndex1)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[17984, 17976])).
% 34.24/22.89 tff(17986,plain,
% 34.24/22.89 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB117)) | v130(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB117)) | v130(constB117, bitIndex0))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(17987,plain,
% 34.24/22.89 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB117)) | v130(constB117, bitIndex0))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(17988,plain,
% 34.24/22.89 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB117)) | v130(constB117, bitIndex0)),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[17987, 17986])).
% 34.24/22.89 tff(17989,plain,
% 34.24/22.89 (v130(constB117, bitIndex0)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[17988, 1953, 17834])).
% 34.24/22.89 tff(17990,plain,
% 34.24/22.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(17991,plain,
% 34.24/22.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(17992,plain,
% 34.24/22.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0)),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[17991, 17990])).
% 34.24/22.89 tff(17993,plain,
% 34.24/22.89 ((~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[17992, 855, 17850])).
% 34.24/22.89 tff(17994,plain,
% 34.24/22.89 (v127(constB117, bitIndex0)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[17993, 17989])).
% 34.24/22.89 tff(17995,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(17996,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(17997,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0)),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[17996, 17995])).
% 34.24/22.89 tff(17998,plain,
% 34.24/22.89 ((~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[17997, 870, 17862])).
% 34.24/22.89 tff(17999,plain,
% 34.24/22.89 (v129(constB118, bitIndex0)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[17998, 17994])).
% 34.24/22.89 tff(18000,plain,
% 34.24/22.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18001,plain,
% 34.24/22.89 ((v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0))) <=> (v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18002,plain,
% 34.24/22.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118))))),
% 34.24/22.89 inference(monotonicity,[status(thm)],[18001])).
% 34.24/22.89 tff(18003,plain,
% 34.24/22.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))),
% 34.24/22.89 inference(transitivity,[status(thm)],[18002, 18000])).
% 34.24/22.89 tff(18004,plain,
% 34.24/22.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0)))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(18005,plain,
% 34.24/22.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118))),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18004, 18003])).
% 34.24/22.89 tff(18006,plain,
% 34.24/22.89 (v90(constB118, bitIndex0) | (~v100(constB118))),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18005, 885, 17999])).
% 34.24/22.89 tff(18007,plain,
% 34.24/22.89 (v90(constB118, bitIndex0)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18006, 17902])).
% 34.24/22.89 tff(18008,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18009,plain,
% 34.24/22.89 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0)) <=> ((~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18010,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0)))),
% 34.24/22.89 inference(monotonicity,[status(thm)],[18009])).
% 34.24/22.89 tff(18011,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))),
% 34.24/22.89 inference(transitivity,[status(thm)],[18010, 18008])).
% 34.24/22.89 tff(18012,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(18013,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0)),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18012, 18011])).
% 34.24/22.89 tff(18014,plain,
% 34.24/22.89 ((~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18013, 903, 17930])).
% 34.24/22.89 tff(18015,plain,
% 34.24/22.89 ((~v90(constB118, bitIndex0)) | v90(constB119, bitIndex0)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18014, 17942])).
% 34.24/22.89 tff(18016,plain,
% 34.24/22.89 (v90(constB119, bitIndex0)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18015, 18007])).
% 34.24/22.89 tff(18017,plain,
% 34.24/22.89 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18018,plain,
% 34.24/22.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(18019,plain,
% 34.24/22.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119)),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18018, 18017])).
% 34.24/22.89 tff(18020,plain,
% 34.24/22.89 (v124(constB119)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18019, 1994, 18016, 17985, 17951])).
% 34.24/22.89 tff(18021,plain,
% 34.24/22.89 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB119) | (~v124(constB119)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB119) | (~v124(constB119)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18022,plain,
% 34.24/22.89 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB119) | (~v124(constB119)))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(18023,plain,
% 34.24/22.89 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB119) | (~v124(constB119))),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18022, 18021])).
% 34.24/22.89 tff(18024,plain,
% 34.24/22.89 (v114(constB119)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18023, 2005, 18020])).
% 34.24/22.89 tff(18025,plain,
% 34.24/22.89 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB119) | (~v114(constB119)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB119) | (~v114(constB119)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18026,plain,
% 34.24/22.89 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB119) | (~v114(constB119)))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(18027,plain,
% 34.24/22.89 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB119) | (~v114(constB119))),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18026, 18025])).
% 34.24/22.89 tff(18028,plain,
% 34.24/22.89 (v113(constB119)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18027, 542, 18024])).
% 34.24/22.89 tff(18029,plain,
% 34.24/22.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18030,plain,
% 34.24/22.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(18031,plain,
% 34.24/22.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119)),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18030, 18029])).
% 34.24/22.89 tff(18032,plain,
% 34.24/22.89 (v26(constB119) | v112(constB119)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18031, 556, 18028])).
% 34.24/22.89 tff(18033,plain,
% 34.24/22.89 (v112(constB119)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18032, 335])).
% 34.24/22.89 tff(18034,plain,
% 34.24/22.89 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB119) | (~v112(constB119)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB119) | (~v112(constB119)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18035,plain,
% 34.24/22.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB119) | (~v112(constB119)))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(18036,plain,
% 34.24/22.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB119) | (~v112(constB119))),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18035, 18034])).
% 34.24/22.89 tff(18037,plain,
% 34.24/22.89 (v108(constB119)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18036, 568, 18033])).
% 34.24/22.89 tff(18038,plain,
% 34.24/22.89 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18039,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 34.24/22.89 tff(18040,plain,
% 34.24/22.89 (nextState(constB119, constB120)),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18039, 18038])).
% 34.24/22.89 tff(18041,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18042,plain,
% 34.24/22.89 (((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120)) <=> ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18043,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))))),
% 34.24/22.89 inference(monotonicity,[status(thm)],[18042])).
% 34.24/22.89 tff(18044,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 34.24/22.89 inference(transitivity,[status(thm)],[18043, 18041])).
% 34.24/22.89 tff(18045,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(18046,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18045, 18044])).
% 34.24/22.89 tff(18047,plain,
% 34.24/22.89 (v110(constB120) | (~v108(constB119))),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18046, 585, 18040])).
% 34.24/22.89 tff(18048,plain,
% 34.24/22.89 (v110(constB120)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18047, 18037])).
% 34.24/22.89 tff(18049,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18050,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(18051,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120))),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18050, 18049])).
% 34.24/22.89 tff(18052,plain,
% 34.24/22.89 (~v104(constB120)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18051, 603, 18040, 17927])).
% 34.24/22.89 tff(18053,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18054,plain,
% 34.24/22.89 (((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120)) <=> ((~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18055,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | v102(constB120)))),
% 34.24/22.89 inference(monotonicity,[status(thm)],[18054])).
% 34.24/22.89 tff(18056,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))),
% 34.24/22.89 inference(transitivity,[status(thm)],[18055, 18053])).
% 34.24/22.89 tff(18057,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(18058,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | v102(constB120)),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18057, 18056])).
% 34.24/22.89 tff(18059,plain,
% 34.24/22.89 (v104(constB120) | v102(constB120)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18058, 617, 18040])).
% 34.24/22.89 tff(18060,plain,
% 34.24/22.89 (v102(constB120)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18059, 18052])).
% 34.24/22.89 tff(18061,plain,
% 34.24/22.89 (v1(constB120) <=> v1(constB120)),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18062,axiom,(v1(constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 34.24/22.89 tff(18063,plain,
% 34.24/22.89 (v1(constB120)),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18062, 18061])).
% 34.24/22.89 tff(18064,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18065,plain,
% 34.24/22.89 (((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120))) <=> ((~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18066,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120))))),
% 34.24/22.89 inference(monotonicity,[status(thm)],[18065])).
% 34.24/22.89 tff(18067,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))),
% 34.24/22.89 inference(transitivity,[status(thm)],[18066, 18064])).
% 34.24/22.89 tff(18068,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(18069,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120))),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18068, 18067])).
% 34.24/22.89 tff(18070,plain,
% 34.24/22.89 (v101(constB120) | (~v102(constB120))),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18069, 638, 18040, 18063])).
% 34.24/22.89 tff(18071,plain,
% 34.24/22.89 (v101(constB120)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18070, 18060])).
% 34.24/22.89 tff(18072,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18073,plain,
% 34.24/22.89 (((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120)) <=> ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18074,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))))),
% 34.24/22.89 inference(monotonicity,[status(thm)],[18073])).
% 34.24/22.89 tff(18075,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 34.24/22.89 inference(transitivity,[status(thm)],[18074, 18072])).
% 34.24/22.89 tff(18076,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(18077,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18076, 18075])).
% 34.24/22.89 tff(18078,plain,
% 34.24/22.89 (v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18077, 656, 18040])).
% 34.24/22.89 tff(18079,plain,
% 34.24/22.89 (v100(constB120) | (~v110(constB120))),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18078, 18071])).
% 34.24/22.89 tff(18080,plain,
% 34.24/22.89 (v100(constB120)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18079, 18048])).
% 34.24/22.89 tff(18081,plain,
% 34.24/22.89 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB119)) | v130(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB119)) | v130(constB119, bitIndex2))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18082,plain,
% 34.24/22.89 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB119)) | v130(constB119, bitIndex2))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(18083,plain,
% 34.24/22.89 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB119)) | v130(constB119, bitIndex2)),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18082, 18081])).
% 34.24/22.89 tff(18084,plain,
% 34.24/22.89 (v130(constB119, bitIndex2)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18083, 2075, 18020])).
% 34.24/22.89 tff(18085,plain,
% 34.24/22.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18086,plain,
% 34.24/22.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))),
% 34.24/22.89 inference(quant_inst,[status(thm)],[])).
% 34.24/22.89 tff(18087,plain,
% 34.24/22.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2)),
% 34.24/22.89 inference(modus_ponens,[status(thm)],[18086, 18085])).
% 34.24/22.89 tff(18088,plain,
% 34.24/22.89 (v26(constB119) | v127(constB119, bitIndex2)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18087, 1592, 18084])).
% 34.24/22.89 tff(18089,plain,
% 34.24/22.89 (v127(constB119, bitIndex2)),
% 34.24/22.89 inference(unit_resolution,[status(thm)],[18088, 335])).
% 34.24/22.89 tff(18090,plain,
% 34.24/22.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))),
% 34.24/22.89 inference(rewrite,[status(thm)],[])).
% 34.24/22.89 tff(18091,plain,
% 34.24/22.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))),
% 34.24/22.90 inference(quant_inst,[status(thm)],[])).
% 34.24/22.90 tff(18092,plain,
% 34.24/22.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2)),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18091, 18090])).
% 34.24/22.90 tff(18093,plain,
% 34.24/22.90 ((~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18092, 1607, 18040])).
% 34.24/22.90 tff(18094,plain,
% 34.24/22.90 (v129(constB120, bitIndex2)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18093, 18089])).
% 34.24/22.90 tff(18095,plain,
% 34.24/22.90 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18096,plain,
% 34.24/22.90 ((v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2))) <=> (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18097,plain,
% 34.24/22.90 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120))))),
% 34.24/22.90 inference(monotonicity,[status(thm)],[18096])).
% 34.24/22.90 tff(18098,plain,
% 34.24/22.90 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 34.24/22.90 inference(transitivity,[status(thm)],[18097, 18095])).
% 34.24/22.90 tff(18099,plain,
% 34.24/22.90 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))),
% 34.24/22.90 inference(quant_inst,[status(thm)],[])).
% 34.24/22.90 tff(18100,plain,
% 34.24/22.90 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120))),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18099, 18098])).
% 34.24/22.90 tff(18101,plain,
% 34.24/22.90 (v90(constB120, bitIndex2) | (~v100(constB120))),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18100, 1622, 18094])).
% 34.24/22.90 tff(18102,plain,
% 34.24/22.90 (v90(constB120, bitIndex2)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18101, 18080])).
% 34.24/22.90 tff(18103,plain,
% 34.24/22.90 ((~v1(constB121)) <=> (~v1(constB121))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18104,axiom,(~v1(constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 34.24/22.90 tff(18105,plain,
% 34.24/22.90 (~v1(constB121)),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18104, 18103])).
% 34.24/22.90 tff(18106,plain,
% 34.24/22.90 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18107,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 34.24/22.90 tff(18108,plain,
% 34.24/22.90 (nextState(constB120, constB121)),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18107, 18106])).
% 34.24/22.90 tff(18109,plain,
% 34.24/22.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18110,plain,
% 34.24/22.90 (((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18111,plain,
% 34.24/22.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))))),
% 34.24/22.90 inference(monotonicity,[status(thm)],[18110])).
% 34.24/22.90 tff(18112,plain,
% 34.24/22.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 34.24/22.90 inference(transitivity,[status(thm)],[18111, 18109])).
% 34.24/22.90 tff(18113,plain,
% 34.24/22.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))),
% 34.24/22.90 inference(quant_inst,[status(thm)],[])).
% 34.24/22.90 tff(18114,plain,
% 34.24/22.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18113, 18112])).
% 34.24/22.90 tff(18115,plain,
% 34.24/22.90 (~v101(constB121)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18114, 381, 18108, 18105])).
% 34.24/22.90 tff(18116,plain,
% 34.24/22.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18117,plain,
% 34.24/22.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 34.24/22.90 inference(quant_inst,[status(thm)],[])).
% 34.24/22.90 tff(18118,plain,
% 34.24/22.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121))),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18117, 18116])).
% 34.24/22.90 tff(18119,plain,
% 34.24/22.90 (v101(constB121) | (~v100(constB121))),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18118, 398, 18108])).
% 34.24/22.90 tff(18120,plain,
% 34.24/22.90 (~v100(constB121)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18119, 18115])).
% 34.24/22.90 tff(18121,plain,
% 34.24/22.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18122,plain,
% 34.24/22.90 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2)) <=> ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18123,plain,
% 34.24/22.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2)))),
% 34.24/22.90 inference(monotonicity,[status(thm)],[18122])).
% 34.24/22.90 tff(18124,plain,
% 34.24/22.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 34.24/22.90 inference(transitivity,[status(thm)],[18123, 18121])).
% 34.24/22.90 tff(18125,plain,
% 34.24/22.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2))),
% 34.24/22.90 inference(quant_inst,[status(thm)],[])).
% 34.24/22.90 tff(18126,plain,
% 34.24/22.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2)),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18125, 18124])).
% 34.24/22.90 tff(18127,plain,
% 34.24/22.90 ((~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18126, 1658, 18108])).
% 34.24/22.90 tff(18128,plain,
% 34.24/22.90 ((~v90(constB120, bitIndex2)) | v90(constB121, bitIndex2)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18127, 18120])).
% 34.24/22.90 tff(18129,plain,
% 34.24/22.90 (v90(constB121, bitIndex2)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18128, 18102])).
% 34.24/22.90 tff(18130,plain,
% 34.24/22.90 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB119)) | v130(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB119)) | v130(constB119, bitIndex1))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18131,plain,
% 34.24/22.90 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB119)) | v130(constB119, bitIndex1))),
% 34.24/22.90 inference(quant_inst,[status(thm)],[])).
% 34.24/22.90 tff(18132,plain,
% 34.24/22.90 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB119)) | v130(constB119, bitIndex1)),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18131, 18130])).
% 34.24/22.90 tff(18133,plain,
% 34.24/22.90 (v130(constB119, bitIndex1)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18132, 2145, 18020])).
% 34.24/22.90 tff(18134,plain,
% 34.24/22.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18135,plain,
% 34.24/22.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 34.24/22.90 inference(quant_inst,[status(thm)],[])).
% 34.24/22.90 tff(18136,plain,
% 34.24/22.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1)),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18135, 18134])).
% 34.24/22.90 tff(18137,plain,
% 34.24/22.90 (v26(constB119) | v127(constB119, bitIndex1)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18136, 1101, 18133])).
% 34.24/22.90 tff(18138,plain,
% 34.24/22.90 (v127(constB119, bitIndex1)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18137, 335])).
% 34.24/22.90 tff(18139,plain,
% 34.24/22.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18140,plain,
% 34.24/22.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 34.24/22.90 inference(quant_inst,[status(thm)],[])).
% 34.24/22.90 tff(18141,plain,
% 34.24/22.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18140, 18139])).
% 34.24/22.90 tff(18142,plain,
% 34.24/22.90 ((~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18141, 1116, 18040])).
% 34.24/22.90 tff(18143,plain,
% 34.24/22.90 (v129(constB120, bitIndex1)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18142, 18138])).
% 34.24/22.90 tff(18144,plain,
% 34.24/22.90 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18145,plain,
% 34.24/22.90 ((v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1))) <=> (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18146,plain,
% 34.24/22.90 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))))),
% 34.24/22.90 inference(monotonicity,[status(thm)],[18145])).
% 34.24/22.90 tff(18147,plain,
% 34.24/22.90 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 34.24/22.90 inference(transitivity,[status(thm)],[18146, 18144])).
% 34.24/22.90 tff(18148,plain,
% 34.24/22.90 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))),
% 34.24/22.90 inference(quant_inst,[status(thm)],[])).
% 34.24/22.90 tff(18149,plain,
% 34.24/22.90 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18148, 18147])).
% 34.24/22.90 tff(18150,plain,
% 34.24/22.90 (v90(constB120, bitIndex1) | (~v100(constB120))),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18149, 1131, 18143])).
% 34.24/22.90 tff(18151,plain,
% 34.24/22.90 (v90(constB120, bitIndex1)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18150, 18080])).
% 34.24/22.90 tff(18152,plain,
% 34.24/22.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18153,plain,
% 34.24/22.90 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)) <=> ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18154,plain,
% 34.24/22.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1)))),
% 34.24/22.90 inference(monotonicity,[status(thm)],[18153])).
% 34.24/22.90 tff(18155,plain,
% 34.24/22.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 34.24/22.90 inference(transitivity,[status(thm)],[18154, 18152])).
% 34.24/22.90 tff(18156,plain,
% 34.24/22.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))),
% 34.24/22.90 inference(quant_inst,[status(thm)],[])).
% 34.24/22.90 tff(18157,plain,
% 34.24/22.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1)),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18156, 18155])).
% 34.24/22.90 tff(18158,plain,
% 34.24/22.90 ((~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18157, 1149, 18108])).
% 34.24/22.90 tff(18159,plain,
% 34.24/22.90 ((~v90(constB120, bitIndex1)) | v90(constB121, bitIndex1)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18158, 18120])).
% 34.24/22.90 tff(18160,plain,
% 34.24/22.90 (v90(constB121, bitIndex1)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18159, 18151])).
% 34.24/22.90 tff(18161,plain,
% 34.24/22.90 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB119)) | (~v130(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB119)) | (~v130(constB119, bitIndex0)))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18162,plain,
% 34.24/22.90 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB119)) | (~v130(constB119, bitIndex0)))),
% 34.24/22.90 inference(quant_inst,[status(thm)],[])).
% 34.24/22.90 tff(18163,plain,
% 34.24/22.90 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB119)) | (~v130(constB119, bitIndex0))),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18162, 18161])).
% 34.24/22.90 tff(18164,plain,
% 34.24/22.90 (~v130(constB119, bitIndex0)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18163, 2277, 18020])).
% 34.24/22.90 tff(18165,plain,
% 34.24/22.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18166,plain,
% 34.24/22.90 ((v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0))) <=> ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18167,plain,
% 34.24/22.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0)))),
% 34.24/22.90 inference(monotonicity,[status(thm)],[18166])).
% 34.24/22.90 tff(18168,plain,
% 34.24/22.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 34.24/22.90 inference(transitivity,[status(thm)],[18167, 18165])).
% 34.24/22.90 tff(18169,plain,
% 34.24/22.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))),
% 34.24/22.90 inference(quant_inst,[status(thm)],[])).
% 34.24/22.90 tff(18170,plain,
% 34.24/22.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0)),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18169, 18168])).
% 34.24/22.90 tff(18171,plain,
% 34.24/22.90 ((~v127(constB119, bitIndex0)) | v26(constB119)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18170, 1182, 18164])).
% 34.24/22.90 tff(18172,plain,
% 34.24/22.90 (~v127(constB119, bitIndex0)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18171, 335])).
% 34.24/22.90 tff(18173,plain,
% 34.24/22.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18174,plain,
% 34.24/22.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))),
% 34.24/22.90 inference(quant_inst,[status(thm)],[])).
% 34.24/22.90 tff(18175,plain,
% 34.24/22.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0))),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18174, 18173])).
% 34.24/22.90 tff(18176,plain,
% 34.24/22.90 (v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0))),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18175, 1200, 18040])).
% 34.24/22.90 tff(18177,plain,
% 34.24/22.90 (~v129(constB120, bitIndex0)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18176, 18172])).
% 34.24/22.90 tff(18178,plain,
% 34.24/22.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18179,plain,
% 34.24/22.90 (((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0)) <=> ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18180,plain,
% 34.24/22.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120))))),
% 34.24/22.90 inference(monotonicity,[status(thm)],[18179])).
% 34.24/22.90 tff(18181,plain,
% 34.24/22.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 34.24/22.90 inference(transitivity,[status(thm)],[18180, 18178])).
% 34.24/22.90 tff(18182,plain,
% 34.24/22.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))),
% 34.24/22.90 inference(quant_inst,[status(thm)],[])).
% 34.24/22.90 tff(18183,plain,
% 34.24/22.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120))),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18182, 18181])).
% 34.24/22.90 tff(18184,plain,
% 34.24/22.90 ((~v90(constB120, bitIndex0)) | (~v100(constB120))),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18183, 1215, 18177])).
% 34.24/22.90 tff(18185,plain,
% 34.24/22.90 (~v90(constB120, bitIndex0)),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18184, 18080])).
% 34.24/22.90 tff(18186,plain,
% 34.24/22.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18187,plain,
% 34.24/22.90 (((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0))) <=> (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 34.24/22.90 inference(rewrite,[status(thm)],[])).
% 34.24/22.90 tff(18188,plain,
% 34.24/22.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0))))),
% 34.24/22.90 inference(monotonicity,[status(thm)],[18187])).
% 34.24/22.90 tff(18189,plain,
% 34.24/22.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 34.24/22.90 inference(transitivity,[status(thm)],[18188, 18186])).
% 34.24/22.90 tff(18190,plain,
% 34.24/22.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 34.24/22.90 inference(quant_inst,[status(thm)],[])).
% 34.24/22.90 tff(18191,plain,
% 34.24/22.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0))),
% 34.24/22.90 inference(modus_ponens,[status(thm)],[18190, 18189])).
% 34.24/22.90 tff(18192,plain,
% 34.24/22.90 (v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0))),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18191, 455, 18108])).
% 34.24/22.90 tff(18193,plain,
% 34.24/22.90 (v90(constB120, bitIndex0) | (~v90(constB121, bitIndex0))),
% 34.24/22.90 inference(unit_resolution,[status(thm)],[18192, 18120])).
% 34.24/22.90 tff(18194,plain,
% 34.24/22.90 (~v90(constB121, bitIndex0)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18193, 18185])).
% 34.24/22.91 tff(18195,plain,
% 34.24/22.91 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18196,plain,
% 34.24/22.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18197,plain,
% 34.24/22.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121)),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18196, 18195])).
% 34.24/22.91 tff(18198,plain,
% 34.24/22.91 (v125(constB121)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18197, 2321, 18194, 18160, 18129])).
% 34.24/22.91 tff(18199,plain,
% 34.24/22.91 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB121) | (~v125(constB121)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB121) | (~v125(constB121)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18200,plain,
% 34.24/22.91 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB121) | (~v125(constB121)))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18201,plain,
% 34.24/22.91 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB121) | (~v125(constB121))),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18200, 18199])).
% 34.24/22.91 tff(18202,plain,
% 34.24/22.91 (v113(constB121)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18201, 2332, 18198])).
% 34.24/22.91 tff(18203,plain,
% 34.24/22.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18204,plain,
% 34.24/22.91 ((v26(constB121) | (~v113(constB121)) | v112(constB121)) <=> (v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18205,plain,
% 34.24/22.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121))))),
% 34.24/22.91 inference(monotonicity,[status(thm)],[18204])).
% 34.24/22.91 tff(18206,plain,
% 34.24/22.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 34.24/22.91 inference(transitivity,[status(thm)],[18205, 18203])).
% 34.24/22.91 tff(18207,plain,
% 34.24/22.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18208,plain,
% 34.24/22.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121))),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18207, 18206])).
% 34.24/22.91 tff(18209,plain,
% 34.24/22.91 (v26(constB121) | v112(constB121)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18208, 556, 18202])).
% 34.24/22.91 tff(18210,plain,
% 34.24/22.91 (v112(constB121)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18209, 331])).
% 34.24/22.91 tff(18211,plain,
% 34.24/22.91 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB121) | (~v112(constB121)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB121) | (~v112(constB121)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18212,plain,
% 34.24/22.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB121) | (~v112(constB121)))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18213,plain,
% 34.24/22.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB121) | (~v112(constB121))),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18212, 18211])).
% 34.24/22.91 tff(18214,plain,
% 34.24/22.91 (v108(constB121)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18213, 568, 18210])).
% 34.24/22.91 tff(18215,plain,
% 34.24/22.91 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18216,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 34.24/22.91 tff(18217,plain,
% 34.24/22.91 (nextState(constB121, constB122)),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18216, 18215])).
% 34.24/22.91 tff(18218,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18219,plain,
% 34.24/22.91 (((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122)) <=> ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18220,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))))),
% 34.24/22.91 inference(monotonicity,[status(thm)],[18219])).
% 34.24/22.91 tff(18221,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 34.24/22.91 inference(transitivity,[status(thm)],[18220, 18218])).
% 34.24/22.91 tff(18222,plain,
% 34.24/22.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18223,plain,
% 34.24/22.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18222, 18221])).
% 34.24/22.91 tff(18224,plain,
% 34.24/22.91 (v110(constB122) | (~v108(constB121))),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18223, 585, 18217])).
% 34.24/22.91 tff(18225,plain,
% 34.24/22.91 (v110(constB122)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18224, 18214])).
% 34.24/22.91 tff(18226,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18227,plain,
% 34.24/22.91 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18228,plain,
% 34.24/22.91 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122))),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18227, 18226])).
% 34.24/22.91 tff(18229,plain,
% 34.24/22.91 (~v104(constB122)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18228, 603, 18217, 18105])).
% 34.24/22.91 tff(18230,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18231,plain,
% 34.24/22.91 (((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122)) <=> ((~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18232,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | v102(constB122)))),
% 34.24/22.91 inference(monotonicity,[status(thm)],[18231])).
% 34.24/22.91 tff(18233,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))),
% 34.24/22.91 inference(transitivity,[status(thm)],[18232, 18230])).
% 34.24/22.91 tff(18234,plain,
% 34.24/22.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18235,plain,
% 34.24/22.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | v102(constB122)),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18234, 18233])).
% 34.24/22.91 tff(18236,plain,
% 34.24/22.91 (v104(constB122) | v102(constB122)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18235, 617, 18217])).
% 34.24/22.91 tff(18237,plain,
% 34.24/22.91 (v102(constB122)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18236, 18229])).
% 34.24/22.91 tff(18238,plain,
% 34.24/22.91 (v1(constB122) <=> v1(constB122)),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18239,axiom,(v1(constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 34.24/22.91 tff(18240,plain,
% 34.24/22.91 (v1(constB122)),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18239, 18238])).
% 34.24/22.91 tff(18241,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18242,plain,
% 34.24/22.91 (((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122))) <=> ((~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18243,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122))))),
% 34.24/22.91 inference(monotonicity,[status(thm)],[18242])).
% 34.24/22.91 tff(18244,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))),
% 34.24/22.91 inference(transitivity,[status(thm)],[18243, 18241])).
% 34.24/22.91 tff(18245,plain,
% 34.24/22.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18246,plain,
% 34.24/22.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122))),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18245, 18244])).
% 34.24/22.91 tff(18247,plain,
% 34.24/22.91 (v101(constB122) | (~v102(constB122))),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18246, 638, 18217, 18240])).
% 34.24/22.91 tff(18248,plain,
% 34.24/22.91 (v101(constB122)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18247, 18237])).
% 34.24/22.91 tff(18249,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18250,plain,
% 34.24/22.91 (((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122)) <=> ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18251,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))))),
% 34.24/22.91 inference(monotonicity,[status(thm)],[18250])).
% 34.24/22.91 tff(18252,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 34.24/22.91 inference(transitivity,[status(thm)],[18251, 18249])).
% 34.24/22.91 tff(18253,plain,
% 34.24/22.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18254,plain,
% 34.24/22.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18253, 18252])).
% 34.24/22.91 tff(18255,plain,
% 34.24/22.91 (v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18254, 656, 18217])).
% 34.24/22.91 tff(18256,plain,
% 34.24/22.91 (v100(constB122) | (~v110(constB122))),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18255, 18248])).
% 34.24/22.91 tff(18257,plain,
% 34.24/22.91 (v100(constB122)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18256, 18225])).
% 34.24/22.91 tff(18258,plain,
% 34.24/22.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v121(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v121(constB121)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18259,plain,
% 34.24/22.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v121(constB121)))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18260,plain,
% 34.24/22.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v121(constB121))),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18259, 18258])).
% 34.24/22.91 tff(18261,plain,
% 34.24/22.91 (~v121(constB121)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18260, 2216, 18129])).
% 34.24/22.91 tff(18262,plain,
% 34.24/22.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v122(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v122(constB121)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18263,plain,
% 34.24/22.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v122(constB121)))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18264,plain,
% 34.24/22.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v122(constB121))),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18263, 18262])).
% 34.24/22.91 tff(18265,plain,
% 34.24/22.91 (~v122(constB121)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18264, 2131, 18129])).
% 34.24/22.91 tff(18266,plain,
% 34.24/22.91 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB121)) | (~v90(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB121)) | (~v90(constB121, bitIndex1)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18267,plain,
% 34.24/22.91 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB121)) | (~v90(constB121, bitIndex1)))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18268,plain,
% 34.24/22.91 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB121)) | (~v90(constB121, bitIndex1))),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18267, 18266])).
% 34.24/22.91 tff(18269,plain,
% 34.24/22.91 (~v119(constB121)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18268, 2230, 18160])).
% 34.24/22.91 tff(18270,plain,
% 34.24/22.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v120(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v120(constB121)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18271,plain,
% 34.24/22.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v120(constB121)))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18272,plain,
% 34.24/22.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v120(constB121))),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18271, 18270])).
% 34.24/22.91 tff(18273,plain,
% 34.24/22.91 (~v120(constB121)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18272, 2183, 18160])).
% 34.24/22.91 tff(18274,plain,
% 34.24/22.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v123(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v123(constB121)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18275,plain,
% 34.24/22.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v123(constB121)))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18276,plain,
% 34.24/22.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v123(constB121))),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18275, 18274])).
% 34.24/22.91 tff(18277,plain,
% 34.24/22.91 (~v123(constB121)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18276, 2194, 18160])).
% 34.24/22.91 tff(18278,plain,
% 34.24/22.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v124(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v124(constB121)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18279,plain,
% 34.24/22.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v124(constB121)))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18280,plain,
% 34.24/22.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v124(constB121))),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18279, 18278])).
% 34.24/22.91 tff(18281,plain,
% 34.24/22.91 (~v124(constB121)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18280, 2205, 18160])).
% 34.24/22.91 tff(18282,plain,
% 34.24/22.91 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB121, bitIndex2)) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB121, bitIndex2)) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18283,plain,
% 34.24/22.91 ((v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2))) <=> ((~v130(constB121, bitIndex2)) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18284,plain,
% 34.24/22.91 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB121, bitIndex2)) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121)))),
% 34.24/22.91 inference(monotonicity,[status(thm)],[18283])).
% 34.24/22.91 tff(18285,plain,
% 34.24/22.91 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB121, bitIndex2)) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121))),
% 34.24/22.91 inference(transitivity,[status(thm)],[18284, 18282])).
% 34.24/22.91 tff(18286,plain,
% 34.24/22.91 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18287,plain,
% 34.24/22.91 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB121, bitIndex2)) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121)),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18286, 18285])).
% 34.24/22.91 tff(18288,plain,
% 34.24/22.91 (~v130(constB121, bitIndex2)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18287, 2244, 18281, 18277, 18273, 18269, 18265, 18261])).
% 34.24/22.91 tff(18289,plain,
% 34.24/22.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18290,plain,
% 34.24/22.91 ((v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2))) <=> ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18291,plain,
% 34.24/22.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)))),
% 34.24/22.91 inference(monotonicity,[status(thm)],[18290])).
% 34.24/22.91 tff(18292,plain,
% 34.24/22.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 34.24/22.91 inference(transitivity,[status(thm)],[18291, 18289])).
% 34.24/22.91 tff(18293,plain,
% 34.24/22.91 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18294,plain,
% 34.24/22.91 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18293, 18292])).
% 34.24/22.91 tff(18295,plain,
% 34.24/22.91 ((~v127(constB121, bitIndex2)) | v26(constB121)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18294, 689, 18288])).
% 34.24/22.91 tff(18296,plain,
% 34.24/22.91 (~v127(constB121, bitIndex2)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18295, 331])).
% 34.24/22.91 tff(18297,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18298,plain,
% 34.24/22.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18299,plain,
% 34.24/22.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18298, 18297])).
% 34.24/22.91 tff(18300,plain,
% 34.24/22.91 (v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18299, 707, 18217])).
% 34.24/22.91 tff(18301,plain,
% 34.24/22.91 (~v129(constB122, bitIndex2)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18300, 18296])).
% 34.24/22.91 tff(18302,plain,
% 34.24/22.91 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18303,plain,
% 34.24/22.91 (((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2)) <=> ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18304,plain,
% 34.24/22.91 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122))))),
% 34.24/22.91 inference(monotonicity,[status(thm)],[18303])).
% 34.24/22.91 tff(18305,plain,
% 34.24/22.91 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 34.24/22.91 inference(transitivity,[status(thm)],[18304, 18302])).
% 34.24/22.91 tff(18306,plain,
% 34.24/22.91 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18307,plain,
% 34.24/22.91 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122))),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18306, 18305])).
% 34.24/22.91 tff(18308,plain,
% 34.24/22.91 ((~v90(constB122, bitIndex2)) | (~v100(constB122))),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18307, 722, 18301])).
% 34.24/22.91 tff(18309,plain,
% 34.24/22.91 (~v90(constB122, bitIndex2)),
% 34.24/22.91 inference(unit_resolution,[status(thm)],[18308, 18257])).
% 34.24/22.91 tff(18310,plain,
% 34.24/22.91 ((~v1(constB123)) <=> (~v1(constB123))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18311,axiom,(~v1(constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 34.24/22.91 tff(18312,plain,
% 34.24/22.91 (~v1(constB123)),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18311, 18310])).
% 34.24/22.91 tff(18313,plain,
% 34.24/22.91 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18314,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 34.24/22.91 tff(18315,plain,
% 34.24/22.91 (nextState(constB122, constB123)),
% 34.24/22.91 inference(modus_ponens,[status(thm)],[18314, 18313])).
% 34.24/22.91 tff(18316,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18317,plain,
% 34.24/22.91 (((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 34.24/22.91 inference(rewrite,[status(thm)],[])).
% 34.24/22.91 tff(18318,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))))),
% 34.24/22.91 inference(monotonicity,[status(thm)],[18317])).
% 34.24/22.91 tff(18319,plain,
% 34.24/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 34.24/22.91 inference(transitivity,[status(thm)],[18318, 18316])).
% 34.24/22.91 tff(18320,plain,
% 34.24/22.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))),
% 34.24/22.91 inference(quant_inst,[status(thm)],[])).
% 34.24/22.91 tff(18321,plain,
% 34.24/22.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))),
% 34.32/22.91 inference(modus_ponens,[status(thm)],[18320, 18319])).
% 34.32/22.91 tff(18322,plain,
% 34.32/22.91 (~v101(constB123)),
% 34.32/22.91 inference(unit_resolution,[status(thm)],[18321, 381, 18315, 18312])).
% 34.32/22.91 tff(18323,plain,
% 34.32/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 34.32/22.91 inference(rewrite,[status(thm)],[])).
% 34.32/22.91 tff(18324,plain,
% 34.32/22.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 34.32/22.91 inference(quant_inst,[status(thm)],[])).
% 34.32/22.91 tff(18325,plain,
% 34.32/22.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123))),
% 34.32/22.91 inference(modus_ponens,[status(thm)],[18324, 18323])).
% 34.32/22.91 tff(18326,plain,
% 34.32/22.91 (v101(constB123) | (~v100(constB123))),
% 34.32/22.91 inference(unit_resolution,[status(thm)],[18325, 398, 18315])).
% 34.32/22.91 tff(18327,plain,
% 34.32/22.91 (~v100(constB123)),
% 34.32/22.91 inference(unit_resolution,[status(thm)],[18326, 18322])).
% 34.32/22.91 tff(18328,plain,
% 34.32/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 34.32/22.91 inference(rewrite,[status(thm)],[])).
% 34.32/22.91 tff(18329,plain,
% 34.32/22.91 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))) <=> (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 34.32/22.91 inference(rewrite,[status(thm)],[])).
% 34.32/22.91 tff(18330,plain,
% 34.32/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2))))),
% 34.32/22.91 inference(monotonicity,[status(thm)],[18329])).
% 34.32/22.91 tff(18331,plain,
% 34.32/22.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 34.32/22.92 inference(transitivity,[status(thm)],[18330, 18328])).
% 34.32/22.92 tff(18332,plain,
% 34.32/22.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 34.32/22.92 inference(quant_inst,[status(thm)],[])).
% 34.32/22.92 tff(18333,plain,
% 34.32/22.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2))),
% 34.32/22.92 inference(modus_ponens,[status(thm)],[18332, 18331])).
% 34.32/22.92 tff(18334,plain,
% 34.32/22.92 (v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18333, 413, 18315])).
% 34.32/22.92 tff(18335,plain,
% 34.32/22.92 (v90(constB122, bitIndex2) | (~v90(constB123, bitIndex2))),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18334, 18327])).
% 34.32/22.92 tff(18336,plain,
% 34.32/22.92 (~v90(constB123, bitIndex2)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18335, 18309])).
% 34.32/22.92 tff(18337,plain,
% 34.32/22.92 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB121, bitIndex0) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB121, bitIndex0) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18338,plain,
% 34.32/22.92 ((v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0)) <=> (v130(constB121, bitIndex0) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18339,plain,
% 34.32/22.92 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB121, bitIndex0) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121)))),
% 34.32/22.92 inference(monotonicity,[status(thm)],[18338])).
% 34.32/22.92 tff(18340,plain,
% 34.32/22.92 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB121, bitIndex0) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121))),
% 34.32/22.92 inference(transitivity,[status(thm)],[18339, 18337])).
% 34.32/22.92 tff(18341,plain,
% 34.32/22.92 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))),
% 34.32/22.92 inference(quant_inst,[status(thm)],[])).
% 34.32/22.92 tff(18342,plain,
% 34.32/22.92 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB121, bitIndex0) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121)),
% 34.32/22.92 inference(modus_ponens,[status(thm)],[18341, 18340])).
% 34.32/22.92 tff(18343,plain,
% 34.32/22.92 (v130(constB121, bitIndex0)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18342, 2495, 18281, 18277, 18273, 18269, 18265, 18261])).
% 34.32/22.92 tff(18344,plain,
% 34.32/22.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18345,plain,
% 34.32/22.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))),
% 34.32/22.92 inference(quant_inst,[status(thm)],[])).
% 34.32/22.92 tff(18346,plain,
% 34.32/22.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0)),
% 34.32/22.92 inference(modus_ponens,[status(thm)],[18345, 18344])).
% 34.32/22.92 tff(18347,plain,
% 34.32/22.92 (v26(constB121) | v127(constB121, bitIndex0)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18346, 855, 18343])).
% 34.32/22.92 tff(18348,plain,
% 34.32/22.92 (v127(constB121, bitIndex0)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18347, 331])).
% 34.32/22.92 tff(18349,plain,
% 34.32/22.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18350,plain,
% 34.32/22.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))),
% 34.32/22.92 inference(quant_inst,[status(thm)],[])).
% 34.32/22.92 tff(18351,plain,
% 34.32/22.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0)),
% 34.32/22.92 inference(modus_ponens,[status(thm)],[18350, 18349])).
% 34.32/22.92 tff(18352,plain,
% 34.32/22.92 ((~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18351, 870, 18217])).
% 34.32/22.92 tff(18353,plain,
% 34.32/22.92 (v129(constB122, bitIndex0)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18352, 18348])).
% 34.32/22.92 tff(18354,plain,
% 34.32/22.92 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18355,plain,
% 34.32/22.92 ((v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0))) <=> (v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18356,plain,
% 34.32/22.92 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122))))),
% 34.32/22.92 inference(monotonicity,[status(thm)],[18355])).
% 34.32/22.92 tff(18357,plain,
% 34.32/22.92 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))),
% 34.32/22.92 inference(transitivity,[status(thm)],[18356, 18354])).
% 34.32/22.92 tff(18358,plain,
% 34.32/22.92 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0)))),
% 34.32/22.92 inference(quant_inst,[status(thm)],[])).
% 34.32/22.92 tff(18359,plain,
% 34.32/22.92 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122))),
% 34.32/22.92 inference(modus_ponens,[status(thm)],[18358, 18357])).
% 34.32/22.92 tff(18360,plain,
% 34.32/22.92 (v90(constB122, bitIndex0) | (~v100(constB122))),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18359, 885, 18353])).
% 34.32/22.92 tff(18361,plain,
% 34.32/22.92 (v90(constB122, bitIndex0)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18360, 18257])).
% 34.32/22.92 tff(18362,plain,
% 34.32/22.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18363,plain,
% 34.32/22.92 (((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0)) <=> ((~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18364,plain,
% 34.32/22.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0)))),
% 34.32/22.92 inference(monotonicity,[status(thm)],[18363])).
% 34.32/22.92 tff(18365,plain,
% 34.32/22.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))),
% 34.32/22.92 inference(transitivity,[status(thm)],[18364, 18362])).
% 34.32/22.92 tff(18366,plain,
% 34.32/22.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0))),
% 34.32/22.92 inference(quant_inst,[status(thm)],[])).
% 34.32/22.92 tff(18367,plain,
% 34.32/22.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0)),
% 34.32/22.92 inference(modus_ponens,[status(thm)],[18366, 18365])).
% 34.32/22.92 tff(18368,plain,
% 34.32/22.92 ((~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18367, 903, 18315])).
% 34.32/22.92 tff(18369,plain,
% 34.32/22.92 ((~v90(constB122, bitIndex0)) | v90(constB123, bitIndex0)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18368, 18327])).
% 34.32/22.92 tff(18370,plain,
% 34.32/22.92 (v90(constB123, bitIndex0)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18369, 18361])).
% 34.32/22.92 tff(18371,plain,
% 34.32/22.92 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB121, bitIndex1)) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB121, bitIndex1)) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18372,plain,
% 34.32/22.92 ((v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1))) <=> ((~v130(constB121, bitIndex1)) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18373,plain,
% 34.32/22.92 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB121, bitIndex1)) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121)))),
% 34.32/22.92 inference(monotonicity,[status(thm)],[18372])).
% 34.32/22.92 tff(18374,plain,
% 34.32/22.92 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB121, bitIndex1)) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121))),
% 34.32/22.92 inference(transitivity,[status(thm)],[18373, 18371])).
% 34.32/22.92 tff(18375,plain,
% 34.32/22.92 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))),
% 34.32/22.92 inference(quant_inst,[status(thm)],[])).
% 34.32/22.92 tff(18376,plain,
% 34.32/22.92 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB121, bitIndex1)) | v124(constB121) | v123(constB121) | v122(constB121) | v120(constB121) | v121(constB121) | v119(constB121)),
% 34.32/22.92 inference(modus_ponens,[status(thm)],[18375, 18374])).
% 34.32/22.92 tff(18377,plain,
% 34.32/22.92 (~v130(constB121, bitIndex1)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18376, 2448, 18281, 18277, 18273, 18269, 18265, 18261])).
% 34.32/22.92 tff(18378,plain,
% 34.32/22.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18379,plain,
% 34.32/22.92 ((v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1))) <=> ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18380,plain,
% 34.32/22.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)))),
% 34.32/22.92 inference(monotonicity,[status(thm)],[18379])).
% 34.32/22.92 tff(18381,plain,
% 34.32/22.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 34.32/22.92 inference(transitivity,[status(thm)],[18380, 18378])).
% 34.32/22.92 tff(18382,plain,
% 34.32/22.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))),
% 34.32/22.92 inference(quant_inst,[status(thm)],[])).
% 34.32/22.92 tff(18383,plain,
% 34.32/22.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)),
% 34.32/22.92 inference(modus_ponens,[status(thm)],[18382, 18381])).
% 34.32/22.92 tff(18384,plain,
% 34.32/22.92 ((~v127(constB121, bitIndex1)) | v26(constB121)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18383, 781, 18377])).
% 34.32/22.92 tff(18385,plain,
% 34.32/22.92 (~v127(constB121, bitIndex1)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18384, 331])).
% 34.32/22.92 tff(18386,plain,
% 34.32/22.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18387,plain,
% 34.32/22.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 34.32/22.92 inference(quant_inst,[status(thm)],[])).
% 34.32/22.92 tff(18388,plain,
% 34.32/22.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 34.32/22.92 inference(modus_ponens,[status(thm)],[18387, 18386])).
% 34.32/22.92 tff(18389,plain,
% 34.32/22.92 (v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18388, 799, 18217])).
% 34.32/22.92 tff(18390,plain,
% 34.32/22.92 (~v129(constB122, bitIndex1)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18389, 18385])).
% 34.32/22.92 tff(18391,plain,
% 34.32/22.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18392,plain,
% 34.32/22.92 (((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1)) <=> ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18393,plain,
% 34.32/22.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))))),
% 34.32/22.92 inference(monotonicity,[status(thm)],[18392])).
% 34.32/22.92 tff(18394,plain,
% 34.32/22.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 34.32/22.92 inference(transitivity,[status(thm)],[18393, 18391])).
% 34.32/22.92 tff(18395,plain,
% 34.32/22.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))),
% 34.32/22.92 inference(quant_inst,[status(thm)],[])).
% 34.32/22.92 tff(18396,plain,
% 34.32/22.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))),
% 34.32/22.92 inference(modus_ponens,[status(thm)],[18395, 18394])).
% 34.32/22.92 tff(18397,plain,
% 34.32/22.92 ((~v90(constB122, bitIndex1)) | (~v100(constB122))),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18396, 814, 18390])).
% 34.32/22.92 tff(18398,plain,
% 34.32/22.92 (~v90(constB122, bitIndex1)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18397, 18257])).
% 34.32/22.92 tff(18399,plain,
% 34.32/22.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18400,plain,
% 34.32/22.92 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))) <=> (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18401,plain,
% 34.32/22.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1))))),
% 34.32/22.92 inference(monotonicity,[status(thm)],[18400])).
% 34.32/22.92 tff(18402,plain,
% 34.32/22.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 34.32/22.92 inference(transitivity,[status(thm)],[18401, 18399])).
% 34.32/22.92 tff(18403,plain,
% 34.32/22.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 34.32/22.92 inference(quant_inst,[status(thm)],[])).
% 34.32/22.92 tff(18404,plain,
% 34.32/22.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 34.32/22.92 inference(modus_ponens,[status(thm)],[18403, 18402])).
% 34.32/22.92 tff(18405,plain,
% 34.32/22.92 (v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18404, 434, 18315])).
% 34.32/22.92 tff(18406,plain,
% 34.32/22.92 (v90(constB122, bitIndex1) | (~v90(constB123, bitIndex1))),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18405, 18327])).
% 34.32/22.92 tff(18407,plain,
% 34.32/22.92 (~v90(constB123, bitIndex1)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18406, 18398])).
% 34.32/22.92 tff(18408,assumption,(~v120(constB123)), introduced(assumption)).
% 34.32/22.92 tff(18409,plain,
% 34.32/22.92 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18410,plain,
% 34.32/22.92 (((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2)) <=> ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18411,plain,
% 34.32/22.92 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123)))),
% 34.32/22.92 inference(monotonicity,[status(thm)],[18410])).
% 34.32/22.92 tff(18412,plain,
% 34.32/22.92 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 34.32/22.92 inference(transitivity,[status(thm)],[18411, 18409])).
% 34.32/22.92 tff(18413,plain,
% 34.32/22.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))),
% 34.32/22.92 inference(quant_inst,[status(thm)],[])).
% 34.32/22.92 tff(18414,plain,
% 34.32/22.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123)),
% 34.32/22.92 inference(modus_ponens,[status(thm)],[18413, 18412])).
% 34.32/22.92 tff(18415,plain,
% 34.32/22.92 ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18414, 922, 18408])).
% 34.32/22.92 tff(18416,plain,
% 34.32/22.92 ($false),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18415, 18407, 18370, 18336])).
% 34.32/22.92 tff(18417,plain,(v26(constB121) | v120(constB123)), inference(lemma,lemma(discharge,[]))).
% 34.32/22.92 tff(18418,plain,
% 34.32/22.92 (v120(constB123)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18417, 330])).
% 34.32/22.92 tff(18419,plain,
% 34.32/22.92 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB123) | (~v120(constB123)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB123) | (~v120(constB123)))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18420,plain,
% 34.32/22.92 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB123) | (~v120(constB123)))),
% 34.32/22.92 inference(quant_inst,[status(thm)],[])).
% 34.32/22.92 tff(18421,plain,
% 34.32/22.92 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB123) | (~v120(constB123))),
% 34.32/22.92 inference(modus_ponens,[status(thm)],[18420, 18419])).
% 34.32/22.92 tff(18422,plain,
% 34.32/22.92 (v118(constB123)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18421, 936, 18418])).
% 34.32/22.92 tff(18423,plain,
% 34.32/22.92 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB123) | (~v118(constB123)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB123) | (~v118(constB123)))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18424,plain,
% 34.32/22.92 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB123) | (~v118(constB123)))),
% 34.32/22.92 inference(quant_inst,[status(thm)],[])).
% 34.32/22.92 tff(18425,plain,
% 34.32/22.92 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB123) | (~v118(constB123))),
% 34.32/22.92 inference(modus_ponens,[status(thm)],[18424, 18423])).
% 34.32/22.92 tff(18426,plain,
% 34.32/22.92 (v117(constB123)),
% 34.32/22.92 inference(unit_resolution,[status(thm)],[18425, 498, 18422])).
% 34.32/22.92 tff(18427,plain,
% 34.32/22.92 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB123) | (~v117(constB123)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB123) | (~v117(constB123)))),
% 34.32/22.92 inference(rewrite,[status(thm)],[])).
% 34.32/22.92 tff(18428,plain,
% 34.32/22.92 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB123) | (~v117(constB123)))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18429,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB123) | (~v117(constB123))),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18428, 18427])).
% 34.32/22.93 tff(18430,plain,
% 34.32/22.93 (v116(constB123)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18429, 509, 18426])).
% 34.32/22.93 tff(18431,plain,
% 34.32/22.93 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB123) | (~v116(constB123)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB123) | (~v116(constB123)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18432,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB123) | (~v116(constB123)))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18433,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB123) | (~v116(constB123))),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18432, 18431])).
% 34.32/22.93 tff(18434,plain,
% 34.32/22.93 (v115(constB123)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18433, 520, 18430])).
% 34.32/22.93 tff(18435,plain,
% 34.32/22.93 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB123) | (~v115(constB123)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB123) | (~v115(constB123)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18436,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB123) | (~v115(constB123)))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18437,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB123) | (~v115(constB123))),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18436, 18435])).
% 34.32/22.93 tff(18438,plain,
% 34.32/22.93 (v114(constB123)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18437, 531, 18434])).
% 34.32/22.93 tff(18439,plain,
% 34.32/22.93 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB123) | (~v114(constB123)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB123) | (~v114(constB123)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18440,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB123) | (~v114(constB123)))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18441,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB123) | (~v114(constB123))),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18440, 18439])).
% 34.32/22.93 tff(18442,plain,
% 34.32/22.93 (v113(constB123)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18441, 542, 18438])).
% 34.32/22.93 tff(18443,assumption,(v26(constB123)), introduced(assumption)).
% 34.32/22.93 tff(18444,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB123))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18445,plain,
% 34.32/22.93 ($false),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18444, 120, 18443])).
% 34.32/22.93 tff(18446,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 34.32/22.93 tff(18447,plain,
% 34.32/22.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | (~v113(constB123)) | v112(constB123))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18448,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18449,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | (~v113(constB123)) | v112(constB123)),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18448, 18447])).
% 34.32/22.93 tff(18450,plain,
% 34.32/22.93 ((~v113(constB123)) | v112(constB123)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18449, 556, 18446])).
% 34.32/22.93 tff(18451,plain,
% 34.32/22.93 (v112(constB123)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18450, 18442])).
% 34.32/22.93 tff(18452,plain,
% 34.32/22.93 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB123) | (~v112(constB123)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18453,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB123) | (~v112(constB123)))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18454,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB123) | (~v112(constB123))),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18453, 18452])).
% 34.32/22.93 tff(18455,plain,
% 34.32/22.93 (v108(constB123)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18454, 568, 18451])).
% 34.32/22.93 tff(18456,plain,
% 34.32/22.93 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18457,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 34.32/22.93 tff(18458,plain,
% 34.32/22.93 (nextState(constB123, constB124)),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18457, 18456])).
% 34.32/22.93 tff(18459,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18460,plain,
% 34.32/22.93 (((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124)) <=> ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18461,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))))),
% 34.32/22.93 inference(monotonicity,[status(thm)],[18460])).
% 34.32/22.93 tff(18462,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 34.32/22.93 inference(transitivity,[status(thm)],[18461, 18459])).
% 34.32/22.93 tff(18463,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18464,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18463, 18462])).
% 34.32/22.93 tff(18465,plain,
% 34.32/22.93 (v110(constB124) | (~v108(constB123))),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18464, 585, 18458])).
% 34.32/22.93 tff(18466,plain,
% 34.32/22.93 (v110(constB124)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18465, 18455])).
% 34.32/22.93 tff(18467,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18468,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18469,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124))),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18468, 18467])).
% 34.32/22.93 tff(18470,plain,
% 34.32/22.93 (~v104(constB124)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18469, 603, 18458, 18312])).
% 34.32/22.93 tff(18471,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18472,plain,
% 34.32/22.93 (((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124)) <=> ((~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18473,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | v102(constB124)))),
% 34.32/22.93 inference(monotonicity,[status(thm)],[18472])).
% 34.32/22.93 tff(18474,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))),
% 34.32/22.93 inference(transitivity,[status(thm)],[18473, 18471])).
% 34.32/22.93 tff(18475,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18476,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | v102(constB124)),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18475, 18474])).
% 34.32/22.93 tff(18477,plain,
% 34.32/22.93 (v104(constB124) | v102(constB124)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18476, 617, 18458])).
% 34.32/22.93 tff(18478,plain,
% 34.32/22.93 (v102(constB124)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18477, 18470])).
% 34.32/22.93 tff(18479,plain,
% 34.32/22.93 (v1(constB124) <=> v1(constB124)),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18480,axiom,(v1(constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 34.32/22.93 tff(18481,plain,
% 34.32/22.93 (v1(constB124)),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18480, 18479])).
% 34.32/22.93 tff(18482,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18483,plain,
% 34.32/22.93 (((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124))) <=> ((~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18484,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124))))),
% 34.32/22.93 inference(monotonicity,[status(thm)],[18483])).
% 34.32/22.93 tff(18485,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))),
% 34.32/22.93 inference(transitivity,[status(thm)],[18484, 18482])).
% 34.32/22.93 tff(18486,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18487,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124))),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18486, 18485])).
% 34.32/22.93 tff(18488,plain,
% 34.32/22.93 (v101(constB124) | (~v102(constB124))),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18487, 638, 18458, 18481])).
% 34.32/22.93 tff(18489,plain,
% 34.32/22.93 (v101(constB124)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18488, 18478])).
% 34.32/22.93 tff(18490,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18491,plain,
% 34.32/22.93 (((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124)) <=> ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18492,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))))),
% 34.32/22.93 inference(monotonicity,[status(thm)],[18491])).
% 34.32/22.93 tff(18493,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 34.32/22.93 inference(transitivity,[status(thm)],[18492, 18490])).
% 34.32/22.93 tff(18494,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18495,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18494, 18493])).
% 34.32/22.93 tff(18496,plain,
% 34.32/22.93 (v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18495, 656, 18458])).
% 34.32/22.93 tff(18497,plain,
% 34.32/22.93 (v100(constB124) | (~v110(constB124))),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18496, 18489])).
% 34.32/22.93 tff(18498,plain,
% 34.32/22.93 (v100(constB124)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18497, 18466])).
% 34.32/22.93 tff(18499,plain,
% 34.32/22.93 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB123)) | (~v130(constB123, bitIndex2)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18500,plain,
% 34.32/22.93 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex2)))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18501,plain,
% 34.32/22.93 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB123)) | (~v130(constB123, bitIndex2))),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18500, 18499])).
% 34.32/22.93 tff(18502,plain,
% 34.32/22.93 (~v130(constB123, bitIndex2)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18501, 1025, 18418])).
% 34.32/22.93 tff(18503,plain,
% 34.32/22.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18504,plain,
% 34.32/22.93 ((v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2))) <=> ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18505,plain,
% 34.32/22.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)))),
% 34.32/22.93 inference(monotonicity,[status(thm)],[18504])).
% 34.32/22.93 tff(18506,plain,
% 34.32/22.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 34.32/22.93 inference(transitivity,[status(thm)],[18505, 18503])).
% 34.32/22.93 tff(18507,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18508,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18507, 18506])).
% 34.32/22.93 tff(18509,plain,
% 34.32/22.93 ((~v127(constB123, bitIndex2)) | v130(constB123, bitIndex2)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18508, 689, 18446])).
% 34.32/22.93 tff(18510,plain,
% 34.32/22.93 (~v127(constB123, bitIndex2)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18509, 18502])).
% 34.32/22.93 tff(18511,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18512,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18513,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18512, 18511])).
% 34.32/22.93 tff(18514,plain,
% 34.32/22.93 (v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18513, 707, 18458])).
% 34.32/22.93 tff(18515,plain,
% 34.32/22.93 (~v129(constB124, bitIndex2)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18514, 18510])).
% 34.32/22.93 tff(18516,plain,
% 34.32/22.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18517,plain,
% 34.32/22.93 (((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2)) <=> ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18518,plain,
% 34.32/22.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124))))),
% 34.32/22.93 inference(monotonicity,[status(thm)],[18517])).
% 34.32/22.93 tff(18519,plain,
% 34.32/22.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 34.32/22.93 inference(transitivity,[status(thm)],[18518, 18516])).
% 34.32/22.93 tff(18520,plain,
% 34.32/22.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18521,plain,
% 34.32/22.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124))),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18520, 18519])).
% 34.32/22.93 tff(18522,plain,
% 34.32/22.93 ((~v90(constB124, bitIndex2)) | (~v100(constB124))),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18521, 722, 18515])).
% 34.32/22.93 tff(18523,plain,
% 34.32/22.93 (~v90(constB124, bitIndex2)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18522, 18498])).
% 34.32/22.93 tff(18524,plain,
% 34.32/22.93 ((~v1(constB125)) <=> (~v1(constB125))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18525,axiom,(~v1(constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 34.32/22.93 tff(18526,plain,
% 34.32/22.93 (~v1(constB125)),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18525, 18524])).
% 34.32/22.93 tff(18527,plain,
% 34.32/22.93 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18528,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 34.32/22.93 tff(18529,plain,
% 34.32/22.93 (nextState(constB124, constB125)),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18528, 18527])).
% 34.32/22.93 tff(18530,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18531,plain,
% 34.32/22.93 (((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18532,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))))),
% 34.32/22.93 inference(monotonicity,[status(thm)],[18531])).
% 34.32/22.93 tff(18533,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 34.32/22.93 inference(transitivity,[status(thm)],[18532, 18530])).
% 34.32/22.93 tff(18534,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18535,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18534, 18533])).
% 34.32/22.93 tff(18536,plain,
% 34.32/22.93 (~v101(constB125)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18535, 381, 18529, 18526])).
% 34.32/22.93 tff(18537,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18538,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18539,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125))),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18538, 18537])).
% 34.32/22.93 tff(18540,plain,
% 34.32/22.93 (v101(constB125) | (~v100(constB125))),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18539, 398, 18529])).
% 34.32/22.93 tff(18541,plain,
% 34.32/22.93 (~v100(constB125)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18540, 18536])).
% 34.32/22.93 tff(18542,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18543,plain,
% 34.32/22.93 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))) <=> (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18544,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2))))),
% 34.32/22.93 inference(monotonicity,[status(thm)],[18543])).
% 34.32/22.93 tff(18545,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 34.32/22.93 inference(transitivity,[status(thm)],[18544, 18542])).
% 34.32/22.93 tff(18546,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18547,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2))),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18546, 18545])).
% 34.32/22.93 tff(18548,plain,
% 34.32/22.93 (v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18547, 413, 18529])).
% 34.32/22.93 tff(18549,plain,
% 34.32/22.93 (v90(constB124, bitIndex2) | (~v90(constB125, bitIndex2))),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18548, 18541])).
% 34.32/22.93 tff(18550,plain,
% 34.32/22.93 (~v90(constB125, bitIndex2)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18549, 18523])).
% 34.32/22.93 tff(18551,plain,
% 34.32/22.93 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB123)) | v130(constB123, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB123)) | v130(constB123, bitIndex1))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18552,plain,
% 34.32/22.93 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB123)) | v130(constB123, bitIndex1))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18553,plain,
% 34.32/22.93 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB123)) | v130(constB123, bitIndex1)),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18552, 18551])).
% 34.32/22.93 tff(18554,plain,
% 34.32/22.93 (v130(constB123, bitIndex1)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18553, 1087, 18418])).
% 34.32/22.93 tff(18555,plain,
% 34.32/22.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18556,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 34.32/22.93 inference(quant_inst,[status(thm)],[])).
% 34.32/22.93 tff(18557,plain,
% 34.32/22.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 34.32/22.93 inference(modus_ponens,[status(thm)],[18556, 18555])).
% 34.32/22.93 tff(18558,plain,
% 34.32/22.93 ((~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18557, 1101, 18446])).
% 34.32/22.93 tff(18559,plain,
% 34.32/22.93 (v127(constB123, bitIndex1)),
% 34.32/22.93 inference(unit_resolution,[status(thm)],[18558, 18554])).
% 34.32/22.93 tff(18560,plain,
% 34.32/22.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 34.32/22.93 inference(rewrite,[status(thm)],[])).
% 34.32/22.93 tff(18561,plain,
% 34.32/22.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18562,plain,
% 34.32/22.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18561, 18560])).
% 34.32/22.94 tff(18563,plain,
% 34.32/22.94 ((~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18562, 1116, 18458])).
% 34.32/22.94 tff(18564,plain,
% 34.32/22.94 (v129(constB124, bitIndex1)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18563, 18559])).
% 34.32/22.94 tff(18565,plain,
% 34.32/22.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18566,plain,
% 34.32/22.94 ((v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1))) <=> (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18567,plain,
% 34.32/22.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))))),
% 34.32/22.94 inference(monotonicity,[status(thm)],[18566])).
% 34.32/22.94 tff(18568,plain,
% 34.32/22.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 34.32/22.94 inference(transitivity,[status(thm)],[18567, 18565])).
% 34.32/22.94 tff(18569,plain,
% 34.32/22.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18570,plain,
% 34.32/22.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18569, 18568])).
% 34.32/22.94 tff(18571,plain,
% 34.32/22.94 (v90(constB124, bitIndex1) | (~v100(constB124))),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18570, 1131, 18564])).
% 34.32/22.94 tff(18572,plain,
% 34.32/22.94 (v90(constB124, bitIndex1)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18571, 18498])).
% 34.32/22.94 tff(18573,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18574,plain,
% 34.32/22.94 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)) <=> ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18575,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1)))),
% 34.32/22.94 inference(monotonicity,[status(thm)],[18574])).
% 34.32/22.94 tff(18576,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 34.32/22.94 inference(transitivity,[status(thm)],[18575, 18573])).
% 34.32/22.94 tff(18577,plain,
% 34.32/22.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18578,plain,
% 34.32/22.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1)),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18577, 18576])).
% 34.32/22.94 tff(18579,plain,
% 34.32/22.94 ((~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18578, 1149, 18529])).
% 34.32/22.94 tff(18580,plain,
% 34.32/22.94 ((~v90(constB124, bitIndex1)) | v90(constB125, bitIndex1)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18579, 18541])).
% 34.32/22.94 tff(18581,plain,
% 34.32/22.94 (v90(constB125, bitIndex1)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18580, 18572])).
% 34.32/22.94 tff(18582,plain,
% 34.32/22.94 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18583,plain,
% 34.32/22.94 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18584,plain,
% 34.32/22.94 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0))),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18583, 18582])).
% 34.32/22.94 tff(18585,plain,
% 34.32/22.94 (~v130(constB123, bitIndex0)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18584, 1168, 18418])).
% 34.32/22.94 tff(18586,plain,
% 34.32/22.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18587,plain,
% 34.32/22.94 ((v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0))) <=> ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18588,plain,
% 34.32/22.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)))),
% 34.32/22.94 inference(monotonicity,[status(thm)],[18587])).
% 34.32/22.94 tff(18589,plain,
% 34.32/22.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 34.32/22.94 inference(transitivity,[status(thm)],[18588, 18586])).
% 34.32/22.94 tff(18590,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18591,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18590, 18589])).
% 34.32/22.94 tff(18592,plain,
% 34.32/22.94 ((~v127(constB123, bitIndex0)) | v130(constB123, bitIndex0)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18591, 1182, 18446])).
% 34.32/22.94 tff(18593,plain,
% 34.32/22.94 (~v127(constB123, bitIndex0)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18592, 18585])).
% 34.32/22.94 tff(18594,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18595,plain,
% 34.32/22.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18596,plain,
% 34.32/22.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18595, 18594])).
% 34.32/22.94 tff(18597,plain,
% 34.32/22.94 (v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18596, 1200, 18458])).
% 34.32/22.94 tff(18598,plain,
% 34.32/22.94 (~v129(constB124, bitIndex0)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18597, 18593])).
% 34.32/22.94 tff(18599,plain,
% 34.32/22.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18600,plain,
% 34.32/22.94 (((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0)) <=> ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18601,plain,
% 34.32/22.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))))),
% 34.32/22.94 inference(monotonicity,[status(thm)],[18600])).
% 34.32/22.94 tff(18602,plain,
% 34.32/22.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 34.32/22.94 inference(transitivity,[status(thm)],[18601, 18599])).
% 34.32/22.94 tff(18603,plain,
% 34.32/22.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18604,plain,
% 34.32/22.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18603, 18602])).
% 34.32/22.94 tff(18605,plain,
% 34.32/22.94 ((~v90(constB124, bitIndex0)) | (~v100(constB124))),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18604, 1215, 18598])).
% 34.32/22.94 tff(18606,plain,
% 34.32/22.94 (~v90(constB124, bitIndex0)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18605, 18498])).
% 34.32/22.94 tff(18607,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18608,plain,
% 34.32/22.94 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))) <=> (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18609,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0))))),
% 34.32/22.94 inference(monotonicity,[status(thm)],[18608])).
% 34.32/22.94 tff(18610,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 34.32/22.94 inference(transitivity,[status(thm)],[18609, 18607])).
% 34.32/22.94 tff(18611,plain,
% 34.32/22.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18612,plain,
% 34.32/22.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18611, 18610])).
% 34.32/22.94 tff(18613,plain,
% 34.32/22.94 (v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18612, 455, 18529])).
% 34.32/22.94 tff(18614,plain,
% 34.32/22.94 (v90(constB124, bitIndex0) | (~v90(constB125, bitIndex0))),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18613, 18541])).
% 34.32/22.94 tff(18615,plain,
% 34.32/22.94 (~v90(constB125, bitIndex0)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18614, 18606])).
% 34.32/22.94 tff(18616,plain,
% 34.32/22.94 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18617,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18618,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125)),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18617, 18616])).
% 34.32/22.94 tff(18619,plain,
% 34.32/22.94 (v121(constB125)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18618, 1242, 18615, 18581, 18550])).
% 34.32/22.94 tff(18620,plain,
% 34.32/22.94 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB125) | (~v121(constB125)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB125) | (~v121(constB125)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18621,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB125) | (~v121(constB125)))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18622,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB125) | (~v121(constB125))),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18621, 18620])).
% 34.32/22.94 tff(18623,plain,
% 34.32/22.94 (v117(constB125)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18622, 1253, 18619])).
% 34.32/22.94 tff(18624,plain,
% 34.32/22.94 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB125) | (~v117(constB125)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB125) | (~v117(constB125)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18625,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB125) | (~v117(constB125)))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18626,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB125) | (~v117(constB125))),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18625, 18624])).
% 34.32/22.94 tff(18627,plain,
% 34.32/22.94 (v116(constB125)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18626, 509, 18623])).
% 34.32/22.94 tff(18628,plain,
% 34.32/22.94 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB125) | (~v116(constB125)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB125) | (~v116(constB125)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18629,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB125) | (~v116(constB125)))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18630,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB125) | (~v116(constB125))),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18629, 18628])).
% 34.32/22.94 tff(18631,plain,
% 34.32/22.94 (v115(constB125)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18630, 520, 18627])).
% 34.32/22.94 tff(18632,plain,
% 34.32/22.94 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB125) | (~v115(constB125)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB125) | (~v115(constB125)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18633,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB125) | (~v115(constB125)))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18634,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB125) | (~v115(constB125))),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18633, 18632])).
% 34.32/22.94 tff(18635,plain,
% 34.32/22.94 (v114(constB125)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18634, 531, 18631])).
% 34.32/22.94 tff(18636,plain,
% 34.32/22.94 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB125) | (~v114(constB125)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB125) | (~v114(constB125)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18637,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB125) | (~v114(constB125)))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18638,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB125) | (~v114(constB125))),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18637, 18636])).
% 34.32/22.94 tff(18639,plain,
% 34.32/22.94 (v113(constB125)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18638, 542, 18635])).
% 34.32/22.94 tff(18640,plain,
% 34.32/22.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18641,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18642,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | (~v113(constB125)) | v112(constB125)),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18641, 18640])).
% 34.32/22.94 tff(18643,plain,
% 34.32/22.94 (v26(constB125) | v112(constB125)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18642, 556, 18639])).
% 34.32/22.94 tff(18644,plain,
% 34.32/22.94 (v112(constB125)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18643, 326])).
% 34.32/22.94 tff(18645,plain,
% 34.32/22.94 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB125) | (~v112(constB125)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB125) | (~v112(constB125)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18646,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB125) | (~v112(constB125)))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18647,plain,
% 34.32/22.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB125) | (~v112(constB125))),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18646, 18645])).
% 34.32/22.94 tff(18648,plain,
% 34.32/22.94 (v108(constB125)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18647, 568, 18644])).
% 34.32/22.94 tff(18649,plain,
% 34.32/22.94 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18650,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 34.32/22.94 tff(18651,plain,
% 34.32/22.94 (nextState(constB125, constB126)),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18650, 18649])).
% 34.32/22.94 tff(18652,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18653,plain,
% 34.32/22.94 (((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126)) <=> ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18654,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))))),
% 34.32/22.94 inference(monotonicity,[status(thm)],[18653])).
% 34.32/22.94 tff(18655,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 34.32/22.94 inference(transitivity,[status(thm)],[18654, 18652])).
% 34.32/22.94 tff(18656,plain,
% 34.32/22.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18657,plain,
% 34.32/22.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18656, 18655])).
% 34.32/22.94 tff(18658,plain,
% 34.32/22.94 (v110(constB126) | (~v108(constB125))),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18657, 585, 18651])).
% 34.32/22.94 tff(18659,plain,
% 34.32/22.94 (v110(constB126)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18658, 18648])).
% 34.32/22.94 tff(18660,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18661,plain,
% 34.32/22.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18662,plain,
% 34.32/22.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126))),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18661, 18660])).
% 34.32/22.94 tff(18663,plain,
% 34.32/22.94 (~v104(constB126)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18662, 603, 18651, 18526])).
% 34.32/22.94 tff(18664,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18665,plain,
% 34.32/22.94 (((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126)) <=> ((~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18666,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v102(constB126)))),
% 34.32/22.94 inference(monotonicity,[status(thm)],[18665])).
% 34.32/22.94 tff(18667,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))),
% 34.32/22.94 inference(transitivity,[status(thm)],[18666, 18664])).
% 34.32/22.94 tff(18668,plain,
% 34.32/22.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18669,plain,
% 34.32/22.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | v102(constB126)),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18668, 18667])).
% 34.32/22.94 tff(18670,plain,
% 34.32/22.94 (v104(constB126) | v102(constB126)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18669, 617, 18651])).
% 34.32/22.94 tff(18671,plain,
% 34.32/22.94 (v102(constB126)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18670, 18663])).
% 34.32/22.94 tff(18672,plain,
% 34.32/22.94 (v1(constB126) <=> v1(constB126)),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18673,axiom,(v1(constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 34.32/22.94 tff(18674,plain,
% 34.32/22.94 (v1(constB126)),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18673, 18672])).
% 34.32/22.94 tff(18675,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18676,plain,
% 34.32/22.94 (((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126))) <=> ((~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18677,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126))))),
% 34.32/22.94 inference(monotonicity,[status(thm)],[18676])).
% 34.32/22.94 tff(18678,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))),
% 34.32/22.94 inference(transitivity,[status(thm)],[18677, 18675])).
% 34.32/22.94 tff(18679,plain,
% 34.32/22.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 34.32/22.94 inference(quant_inst,[status(thm)],[])).
% 34.32/22.94 tff(18680,plain,
% 34.32/22.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126))),
% 34.32/22.94 inference(modus_ponens,[status(thm)],[18679, 18678])).
% 34.32/22.94 tff(18681,plain,
% 34.32/22.94 (v101(constB126) | (~v102(constB126))),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18680, 638, 18651, 18674])).
% 34.32/22.94 tff(18682,plain,
% 34.32/22.94 (v101(constB126)),
% 34.32/22.94 inference(unit_resolution,[status(thm)],[18681, 18671])).
% 34.32/22.94 tff(18683,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18684,plain,
% 34.32/22.94 (((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126)) <=> ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 34.32/22.94 inference(rewrite,[status(thm)],[])).
% 34.32/22.94 tff(18685,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))))),
% 34.32/22.94 inference(monotonicity,[status(thm)],[18684])).
% 34.32/22.94 tff(18686,plain,
% 34.32/22.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 34.32/22.95 inference(transitivity,[status(thm)],[18685, 18683])).
% 34.32/22.95 tff(18687,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18688,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18687, 18686])).
% 34.32/22.95 tff(18689,plain,
% 34.32/22.95 (v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18688, 656, 18651])).
% 34.32/22.95 tff(18690,plain,
% 34.32/22.95 (v100(constB126) | (~v110(constB126))),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18689, 18682])).
% 34.32/22.95 tff(18691,plain,
% 34.32/22.95 (v100(constB126)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18690, 18659])).
% 34.32/22.95 tff(18692,plain,
% 34.32/22.95 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v130(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v130(constB125, bitIndex2)))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18693,plain,
% 34.32/22.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v130(constB125, bitIndex2)))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18694,plain,
% 34.32/22.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v130(constB125, bitIndex2))),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18693, 18692])).
% 34.32/22.95 tff(18695,plain,
% 34.32/22.95 (~v130(constB125, bitIndex2)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18694, 1342, 18619])).
% 34.32/22.95 tff(18696,plain,
% 34.32/22.95 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18697,plain,
% 34.32/22.95 ((v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2))) <=> ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18698,plain,
% 34.32/22.95 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)))),
% 34.32/22.95 inference(monotonicity,[status(thm)],[18697])).
% 34.32/22.95 tff(18699,plain,
% 34.32/22.95 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 34.32/22.95 inference(transitivity,[status(thm)],[18698, 18696])).
% 34.32/22.95 tff(18700,plain,
% 34.32/22.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18701,plain,
% 34.32/22.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18700, 18699])).
% 34.32/22.95 tff(18702,plain,
% 34.32/22.95 ((~v127(constB125, bitIndex2)) | v26(constB125)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18701, 689, 18695])).
% 34.32/22.95 tff(18703,plain,
% 34.32/22.95 (~v127(constB125, bitIndex2)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18702, 326])).
% 34.32/22.95 tff(18704,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18705,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18706,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18705, 18704])).
% 34.32/22.95 tff(18707,plain,
% 34.32/22.95 (v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18706, 707, 18651])).
% 34.32/22.95 tff(18708,plain,
% 34.32/22.95 (~v129(constB126, bitIndex2)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18707, 18703])).
% 34.32/22.95 tff(18709,plain,
% 34.32/22.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18710,plain,
% 34.32/22.95 (((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2)) <=> ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18711,plain,
% 34.32/22.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126))))),
% 34.32/22.95 inference(monotonicity,[status(thm)],[18710])).
% 34.32/22.95 tff(18712,plain,
% 34.32/22.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 34.32/22.95 inference(transitivity,[status(thm)],[18711, 18709])).
% 34.32/22.95 tff(18713,plain,
% 34.32/22.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18714,plain,
% 34.32/22.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126))),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18713, 18712])).
% 34.32/22.95 tff(18715,plain,
% 34.32/22.95 ((~v90(constB126, bitIndex2)) | (~v100(constB126))),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18714, 722, 18708])).
% 34.32/22.95 tff(18716,plain,
% 34.32/22.95 (~v90(constB126, bitIndex2)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18715, 18691])).
% 34.32/22.95 tff(18717,plain,
% 34.32/22.95 ((~v1(constB127)) <=> (~v1(constB127))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18718,axiom,(~v1(constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 34.32/22.95 tff(18719,plain,
% 34.32/22.95 (~v1(constB127)),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18718, 18717])).
% 34.32/22.95 tff(18720,plain,
% 34.32/22.95 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18721,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 34.32/22.95 tff(18722,plain,
% 34.32/22.95 (nextState(constB126, constB127)),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18721, 18720])).
% 34.32/22.95 tff(18723,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18724,plain,
% 34.32/22.95 (((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18725,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))))),
% 34.32/22.95 inference(monotonicity,[status(thm)],[18724])).
% 34.32/22.95 tff(18726,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 34.32/22.95 inference(transitivity,[status(thm)],[18725, 18723])).
% 34.32/22.95 tff(18727,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18728,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18727, 18726])).
% 34.32/22.95 tff(18729,plain,
% 34.32/22.95 (~v101(constB127)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18728, 381, 18722, 18719])).
% 34.32/22.95 tff(18730,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18731,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18732,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127))),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18731, 18730])).
% 34.32/22.95 tff(18733,plain,
% 34.32/22.95 (v101(constB127) | (~v100(constB127))),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18732, 398, 18722])).
% 34.32/22.95 tff(18734,plain,
% 34.32/22.95 (~v100(constB127)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18733, 18729])).
% 34.32/22.95 tff(18735,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18736,plain,
% 34.32/22.95 (((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))) <=> (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18737,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2))))),
% 34.32/22.95 inference(monotonicity,[status(thm)],[18736])).
% 34.32/22.95 tff(18738,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 34.32/22.95 inference(transitivity,[status(thm)],[18737, 18735])).
% 34.32/22.95 tff(18739,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18740,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18739, 18738])).
% 34.32/22.95 tff(18741,plain,
% 34.32/22.95 (v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18740, 413, 18722])).
% 34.32/22.95 tff(18742,plain,
% 34.32/22.95 (v90(constB126, bitIndex2) | (~v90(constB127, bitIndex2))),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18741, 18734])).
% 34.32/22.95 tff(18743,plain,
% 34.32/22.95 (~v90(constB127, bitIndex2)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18742, 18716])).
% 34.32/22.95 tff(18744,plain,
% 34.32/22.95 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB125)) | v130(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB125)) | v130(constB125, bitIndex1))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18745,plain,
% 34.32/22.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB125)) | v130(constB125, bitIndex1))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18746,plain,
% 34.32/22.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB125)) | v130(constB125, bitIndex1)),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18745, 18744])).
% 34.32/22.95 tff(18747,plain,
% 34.32/22.95 (v130(constB125, bitIndex1)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18746, 1404, 18619])).
% 34.32/22.95 tff(18748,plain,
% 34.32/22.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18749,plain,
% 34.32/22.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18750,plain,
% 34.32/22.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1)),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18749, 18748])).
% 34.32/22.95 tff(18751,plain,
% 34.32/22.95 (v26(constB125) | v127(constB125, bitIndex1)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18750, 1101, 18747])).
% 34.32/22.95 tff(18752,plain,
% 34.32/22.95 (v127(constB125, bitIndex1)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18751, 326])).
% 34.32/22.95 tff(18753,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18754,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18755,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1)),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18754, 18753])).
% 34.32/22.95 tff(18756,plain,
% 34.32/22.95 ((~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18755, 1116, 18651])).
% 34.32/22.95 tff(18757,plain,
% 34.32/22.95 (v129(constB126, bitIndex1)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18756, 18752])).
% 34.32/22.95 tff(18758,plain,
% 34.32/22.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18759,plain,
% 34.32/22.95 ((v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1))) <=> (v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18760,plain,
% 34.32/22.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126))))),
% 34.32/22.95 inference(monotonicity,[status(thm)],[18759])).
% 34.32/22.95 tff(18761,plain,
% 34.32/22.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))),
% 34.32/22.95 inference(transitivity,[status(thm)],[18760, 18758])).
% 34.32/22.95 tff(18762,plain,
% 34.32/22.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1)))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18763,plain,
% 34.32/22.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126))),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18762, 18761])).
% 34.32/22.95 tff(18764,plain,
% 34.32/22.95 (v90(constB126, bitIndex1) | (~v100(constB126))),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18763, 1131, 18757])).
% 34.32/22.95 tff(18765,plain,
% 34.32/22.95 (v90(constB126, bitIndex1)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18764, 18691])).
% 34.32/22.95 tff(18766,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18767,plain,
% 34.32/22.95 (((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1)) <=> ((~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18768,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1)))),
% 34.32/22.95 inference(monotonicity,[status(thm)],[18767])).
% 34.32/22.95 tff(18769,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))),
% 34.32/22.95 inference(transitivity,[status(thm)],[18768, 18766])).
% 34.32/22.95 tff(18770,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18771,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1)),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18770, 18769])).
% 34.32/22.95 tff(18772,plain,
% 34.32/22.95 ((~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18771, 1149, 18722])).
% 34.32/22.95 tff(18773,plain,
% 34.32/22.95 ((~v90(constB126, bitIndex1)) | v90(constB127, bitIndex1)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18772, 18734])).
% 34.32/22.95 tff(18774,plain,
% 34.32/22.95 (v90(constB127, bitIndex1)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18773, 18765])).
% 34.32/22.95 tff(18775,plain,
% 34.32/22.95 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB125)) | v130(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB125)) | v130(constB125, bitIndex0))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18776,plain,
% 34.32/22.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB125)) | v130(constB125, bitIndex0))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18777,plain,
% 34.32/22.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB125)) | v130(constB125, bitIndex0)),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18776, 18775])).
% 34.32/22.95 tff(18778,plain,
% 34.32/22.95 (v130(constB125, bitIndex0)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18777, 1445, 18619])).
% 34.32/22.95 tff(18779,plain,
% 34.32/22.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18780,plain,
% 34.32/22.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18781,plain,
% 34.32/22.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18780, 18779])).
% 34.32/22.95 tff(18782,plain,
% 34.32/22.95 (v26(constB125) | v127(constB125, bitIndex0)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18781, 855, 18778])).
% 34.32/22.95 tff(18783,plain,
% 34.32/22.95 (v127(constB125, bitIndex0)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18782, 326])).
% 34.32/22.95 tff(18784,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18785,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18786,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18785, 18784])).
% 34.32/22.95 tff(18787,plain,
% 34.32/22.95 ((~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18786, 870, 18651])).
% 34.32/22.95 tff(18788,plain,
% 34.32/22.95 (v129(constB126, bitIndex0)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18787, 18783])).
% 34.32/22.95 tff(18789,plain,
% 34.32/22.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18790,plain,
% 34.32/22.95 ((v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0))) <=> (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18791,plain,
% 34.32/22.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))))),
% 34.32/22.95 inference(monotonicity,[status(thm)],[18790])).
% 34.32/22.95 tff(18792,plain,
% 34.32/22.95 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 34.32/22.95 inference(transitivity,[status(thm)],[18791, 18789])).
% 34.32/22.95 tff(18793,plain,
% 34.32/22.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18794,plain,
% 34.32/22.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18793, 18792])).
% 34.32/22.95 tff(18795,plain,
% 34.32/22.95 (v90(constB126, bitIndex0) | (~v100(constB126))),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18794, 885, 18788])).
% 34.32/22.95 tff(18796,plain,
% 34.32/22.95 (v90(constB126, bitIndex0)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18795, 18691])).
% 34.32/22.95 tff(18797,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18798,plain,
% 34.32/22.95 (((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)) <=> ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 34.32/22.95 inference(rewrite,[status(thm)],[])).
% 34.32/22.95 tff(18799,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0)))),
% 34.32/22.95 inference(monotonicity,[status(thm)],[18798])).
% 34.32/22.95 tff(18800,plain,
% 34.32/22.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 34.32/22.95 inference(transitivity,[status(thm)],[18799, 18797])).
% 34.32/22.95 tff(18801,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))),
% 34.32/22.95 inference(quant_inst,[status(thm)],[])).
% 34.32/22.95 tff(18802,plain,
% 34.32/22.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0)),
% 34.32/22.95 inference(modus_ponens,[status(thm)],[18801, 18800])).
% 34.32/22.95 tff(18803,plain,
% 34.32/22.95 ((~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18802, 903, 18722])).
% 34.32/22.95 tff(18804,plain,
% 34.32/22.95 ((~v90(constB126, bitIndex0)) | v90(constB127, bitIndex0)),
% 34.32/22.95 inference(unit_resolution,[status(thm)],[18803, 18734])).
% 34.32/22.96 tff(18805,plain,
% 34.32/22.96 (v90(constB127, bitIndex0)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18804, 18796])).
% 34.32/22.96 tff(18806,plain,
% 34.32/22.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18807,plain,
% 34.32/22.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18808,plain,
% 34.32/22.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127)),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18807, 18806])).
% 34.32/22.96 tff(18809,plain,
% 34.32/22.96 (v122(constB127)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18808, 1486, 18805, 18774, 18743])).
% 34.32/22.96 tff(18810,plain,
% 34.32/22.96 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB127) | (~v122(constB127)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB127) | (~v122(constB127)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18811,plain,
% 34.32/22.96 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB127) | (~v122(constB127)))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18812,plain,
% 34.32/22.96 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB127) | (~v122(constB127))),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18811, 18810])).
% 34.32/22.96 tff(18813,plain,
% 34.32/22.96 (v116(constB127)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18812, 1497, 18809])).
% 34.32/22.96 tff(18814,plain,
% 34.32/22.96 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB127) | (~v116(constB127)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB127) | (~v116(constB127)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18815,plain,
% 34.32/22.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB127) | (~v116(constB127)))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18816,plain,
% 34.32/22.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB127) | (~v116(constB127))),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18815, 18814])).
% 34.32/22.96 tff(18817,plain,
% 34.32/22.96 (v115(constB127)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18816, 520, 18813])).
% 34.32/22.96 tff(18818,plain,
% 34.32/22.96 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB127) | (~v115(constB127)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB127) | (~v115(constB127)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18819,plain,
% 34.32/22.96 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB127) | (~v115(constB127)))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18820,plain,
% 34.32/22.96 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB127) | (~v115(constB127))),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18819, 18818])).
% 34.32/22.96 tff(18821,plain,
% 34.32/22.96 (v114(constB127)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18820, 531, 18817])).
% 34.32/22.96 tff(18822,plain,
% 34.32/22.96 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB127) | (~v114(constB127)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB127) | (~v114(constB127)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18823,plain,
% 34.32/22.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB127) | (~v114(constB127)))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18824,plain,
% 34.32/22.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB127) | (~v114(constB127))),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18823, 18822])).
% 34.32/22.96 tff(18825,plain,
% 34.32/22.96 (v113(constB127)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18824, 542, 18821])).
% 34.32/22.96 tff(18826,assumption,(v26(constB127)), introduced(assumption)).
% 34.32/22.96 tff(18827,plain,
% 34.32/22.96 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB127))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18828,plain,
% 34.32/22.96 ($false),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18827, 120, 18826])).
% 34.32/22.96 tff(18829,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 34.32/22.96 tff(18830,plain,
% 34.32/22.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | v112(constB127) | (~v113(constB127)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18831,plain,
% 34.32/22.96 ((v26(constB127) | (~v113(constB127)) | v112(constB127)) <=> (v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18832,plain,
% 34.32/22.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | v112(constB127) | (~v113(constB127))))),
% 34.32/22.96 inference(monotonicity,[status(thm)],[18831])).
% 34.32/22.96 tff(18833,plain,
% 34.32/22.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 34.32/22.96 inference(transitivity,[status(thm)],[18832, 18830])).
% 34.32/22.96 tff(18834,plain,
% 34.32/22.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18835,plain,
% 34.32/22.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127))),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18834, 18833])).
% 34.32/22.96 tff(18836,plain,
% 34.32/22.96 (v112(constB127) | (~v113(constB127))),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18835, 556, 18829])).
% 34.32/22.96 tff(18837,plain,
% 34.32/22.96 (v112(constB127)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18836, 18825])).
% 34.32/22.96 tff(18838,plain,
% 34.32/22.96 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB127) | (~v112(constB127)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB127) | (~v112(constB127)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18839,plain,
% 34.32/22.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB127) | (~v112(constB127)))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18840,plain,
% 34.32/22.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB127) | (~v112(constB127))),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18839, 18838])).
% 34.32/22.96 tff(18841,plain,
% 34.32/22.96 (v108(constB127)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18840, 568, 18837])).
% 34.32/22.96 tff(18842,plain,
% 34.32/22.96 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18843,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 34.32/22.96 tff(18844,plain,
% 34.32/22.96 (nextState(constB127, constB128)),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18843, 18842])).
% 34.32/22.96 tff(18845,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18846,plain,
% 34.32/22.96 (((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128)) <=> ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18847,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))))),
% 34.32/22.96 inference(monotonicity,[status(thm)],[18846])).
% 34.32/22.96 tff(18848,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 34.32/22.96 inference(transitivity,[status(thm)],[18847, 18845])).
% 34.32/22.96 tff(18849,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18850,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18849, 18848])).
% 34.32/22.96 tff(18851,plain,
% 34.32/22.96 (v110(constB128) | (~v108(constB127))),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18850, 585, 18844])).
% 34.32/22.96 tff(18852,plain,
% 34.32/22.96 (v110(constB128)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18851, 18841])).
% 34.32/22.96 tff(18853,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18854,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18855,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128))),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18854, 18853])).
% 34.32/22.96 tff(18856,plain,
% 34.32/22.96 (~v104(constB128)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18855, 603, 18844, 18719])).
% 34.32/22.96 tff(18857,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18858,plain,
% 34.32/22.96 (((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128)) <=> ((~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18859,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | v102(constB128)))),
% 34.32/22.96 inference(monotonicity,[status(thm)],[18858])).
% 34.32/22.96 tff(18860,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))),
% 34.32/22.96 inference(transitivity,[status(thm)],[18859, 18857])).
% 34.32/22.96 tff(18861,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18862,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | v102(constB128)),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18861, 18860])).
% 34.32/22.96 tff(18863,plain,
% 34.32/22.96 (v104(constB128) | v102(constB128)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18862, 617, 18844])).
% 34.32/22.96 tff(18864,plain,
% 34.32/22.96 (v102(constB128)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18863, 18856])).
% 34.32/22.96 tff(18865,plain,
% 34.32/22.96 (v1(constB128) <=> v1(constB128)),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18866,axiom,(v1(constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 34.32/22.96 tff(18867,plain,
% 34.32/22.96 (v1(constB128)),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18866, 18865])).
% 34.32/22.96 tff(18868,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18869,plain,
% 34.32/22.96 (((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128))) <=> ((~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18870,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128))))),
% 34.32/22.96 inference(monotonicity,[status(thm)],[18869])).
% 34.32/22.96 tff(18871,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))),
% 34.32/22.96 inference(transitivity,[status(thm)],[18870, 18868])).
% 34.32/22.96 tff(18872,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18873,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128))),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18872, 18871])).
% 34.32/22.96 tff(18874,plain,
% 34.32/22.96 (v101(constB128) | (~v102(constB128))),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18873, 638, 18844, 18867])).
% 34.32/22.96 tff(18875,plain,
% 34.32/22.96 (v101(constB128)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18874, 18864])).
% 34.32/22.96 tff(18876,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18877,plain,
% 34.32/22.96 (((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128)) <=> ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18878,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))))),
% 34.32/22.96 inference(monotonicity,[status(thm)],[18877])).
% 34.32/22.96 tff(18879,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 34.32/22.96 inference(transitivity,[status(thm)],[18878, 18876])).
% 34.32/22.96 tff(18880,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18881,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18880, 18879])).
% 34.32/22.96 tff(18882,plain,
% 34.32/22.96 (v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18881, 656, 18844])).
% 34.32/22.96 tff(18883,plain,
% 34.32/22.96 (v100(constB128) | (~v110(constB128))),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18882, 18875])).
% 34.32/22.96 tff(18884,plain,
% 34.32/22.96 (v100(constB128)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18883, 18852])).
% 34.32/22.96 tff(18885,plain,
% 34.32/22.96 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB127)) | v130(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB127)) | v130(constB127, bitIndex2))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18886,plain,
% 34.32/22.96 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB127)) | v130(constB127, bitIndex2))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18887,plain,
% 34.32/22.96 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB127)) | v130(constB127, bitIndex2)),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18886, 18885])).
% 34.32/22.96 tff(18888,plain,
% 34.32/22.96 (v130(constB127, bitIndex2)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18887, 1578, 18809])).
% 34.32/22.96 tff(18889,plain,
% 34.32/22.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18890,plain,
% 34.32/22.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18891,plain,
% 34.32/22.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2)),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18890, 18889])).
% 34.32/22.96 tff(18892,plain,
% 34.32/22.96 ((~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18891, 1592, 18829])).
% 34.32/22.96 tff(18893,plain,
% 34.32/22.96 (v127(constB127, bitIndex2)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18892, 18888])).
% 34.32/22.96 tff(18894,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18895,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18896,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2)),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18895, 18894])).
% 34.32/22.96 tff(18897,plain,
% 34.32/22.96 ((~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18896, 1607, 18844])).
% 34.32/22.96 tff(18898,plain,
% 34.32/22.96 (v129(constB128, bitIndex2)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18897, 18893])).
% 34.32/22.96 tff(18899,plain,
% 34.32/22.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18900,plain,
% 34.32/22.96 ((v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2))) <=> (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18901,plain,
% 34.32/22.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128))))),
% 34.32/22.96 inference(monotonicity,[status(thm)],[18900])).
% 34.32/22.96 tff(18902,plain,
% 34.32/22.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 34.32/22.96 inference(transitivity,[status(thm)],[18901, 18899])).
% 34.32/22.96 tff(18903,plain,
% 34.32/22.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18904,plain,
% 34.32/22.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128))),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18903, 18902])).
% 34.32/22.96 tff(18905,plain,
% 34.32/22.96 (v90(constB128, bitIndex2) | (~v100(constB128))),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18904, 1622, 18898])).
% 34.32/22.96 tff(18906,plain,
% 34.32/22.96 (v90(constB128, bitIndex2)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18905, 18884])).
% 34.32/22.96 tff(18907,plain,
% 34.32/22.96 ((~v1(constB129)) <=> (~v1(constB129))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18908,axiom,(~v1(constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 34.32/22.96 tff(18909,plain,
% 34.32/22.96 (~v1(constB129)),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18908, 18907])).
% 34.32/22.96 tff(18910,plain,
% 34.32/22.96 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18911,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 34.32/22.96 tff(18912,plain,
% 34.32/22.96 (nextState(constB128, constB129)),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18911, 18910])).
% 34.32/22.96 tff(18913,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18914,plain,
% 34.32/22.96 (((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18915,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))))),
% 34.32/22.96 inference(monotonicity,[status(thm)],[18914])).
% 34.32/22.96 tff(18916,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 34.32/22.96 inference(transitivity,[status(thm)],[18915, 18913])).
% 34.32/22.96 tff(18917,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18918,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18917, 18916])).
% 34.32/22.96 tff(18919,plain,
% 34.32/22.96 (~v101(constB129)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18918, 381, 18912, 18909])).
% 34.32/22.96 tff(18920,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18921,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18922,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129))),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18921, 18920])).
% 34.32/22.96 tff(18923,plain,
% 34.32/22.96 (v101(constB129) | (~v100(constB129))),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18922, 398, 18912])).
% 34.32/22.96 tff(18924,plain,
% 34.32/22.96 (~v100(constB129)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18923, 18919])).
% 34.32/22.96 tff(18925,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18926,plain,
% 34.32/22.96 (((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2)) <=> ((~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18927,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2)))),
% 34.32/22.96 inference(monotonicity,[status(thm)],[18926])).
% 34.32/22.96 tff(18928,plain,
% 34.32/22.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))),
% 34.32/22.96 inference(transitivity,[status(thm)],[18927, 18925])).
% 34.32/22.96 tff(18929,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18930,plain,
% 34.32/22.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2)),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18929, 18928])).
% 34.32/22.96 tff(18931,plain,
% 34.32/22.96 ((~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18930, 1658, 18912])).
% 34.32/22.96 tff(18932,plain,
% 34.32/22.96 ((~v90(constB128, bitIndex2)) | v90(constB129, bitIndex2)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18931, 18924])).
% 34.32/22.96 tff(18933,plain,
% 34.32/22.96 (v90(constB129, bitIndex2)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18932, 18906])).
% 34.32/22.96 tff(18934,plain,
% 34.32/22.96 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB127)) | (~v130(constB127, bitIndex1)))),
% 34.32/22.96 inference(rewrite,[status(thm)],[])).
% 34.32/22.96 tff(18935,plain,
% 34.32/22.96 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex1)))),
% 34.32/22.96 inference(quant_inst,[status(thm)],[])).
% 34.32/22.96 tff(18936,plain,
% 34.32/22.96 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB127)) | (~v130(constB127, bitIndex1))),
% 34.32/22.96 inference(modus_ponens,[status(thm)],[18935, 18934])).
% 34.32/22.96 tff(18937,plain,
% 34.32/22.96 (~v130(constB127, bitIndex1)),
% 34.32/22.96 inference(unit_resolution,[status(thm)],[18936, 1677, 18809])).
% 34.32/22.96 tff(18938,plain,
% 34.32/22.96 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(18939,plain,
% 34.32/22.97 ((v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1))) <=> ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(18940,plain,
% 34.32/22.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1)))),
% 34.32/22.97 inference(monotonicity,[status(thm)],[18939])).
% 34.32/22.97 tff(18941,plain,
% 34.32/22.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 34.32/22.97 inference(transitivity,[status(thm)],[18940, 18938])).
% 34.32/22.97 tff(18942,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(18943,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1)),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[18942, 18941])).
% 34.32/22.97 tff(18944,plain,
% 34.32/22.97 ((~v127(constB127, bitIndex1)) | v130(constB127, bitIndex1)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18943, 781, 18829])).
% 34.32/22.97 tff(18945,plain,
% 34.32/22.97 (~v127(constB127, bitIndex1)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18944, 18937])).
% 34.32/22.97 tff(18946,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(18947,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(18948,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1))),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[18947, 18946])).
% 34.32/22.97 tff(18949,plain,
% 34.32/22.97 (v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1))),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18948, 799, 18844])).
% 34.32/22.97 tff(18950,plain,
% 34.32/22.97 (~v129(constB128, bitIndex1)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18949, 18945])).
% 34.32/22.97 tff(18951,plain,
% 34.32/22.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(18952,plain,
% 34.32/22.97 (((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1)) <=> ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(18953,plain,
% 34.32/22.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128))))),
% 34.32/22.97 inference(monotonicity,[status(thm)],[18952])).
% 34.32/22.97 tff(18954,plain,
% 34.32/22.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 34.32/22.97 inference(transitivity,[status(thm)],[18953, 18951])).
% 34.32/22.97 tff(18955,plain,
% 34.32/22.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(18956,plain,
% 34.32/22.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128))),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[18955, 18954])).
% 34.32/22.97 tff(18957,plain,
% 34.32/22.97 ((~v90(constB128, bitIndex1)) | (~v100(constB128))),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18956, 814, 18950])).
% 34.32/22.97 tff(18958,plain,
% 34.32/22.97 (~v90(constB128, bitIndex1)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18957, 18884])).
% 34.32/22.97 tff(18959,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(18960,plain,
% 34.32/22.97 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1))) <=> (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(18961,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1))))),
% 34.32/22.97 inference(monotonicity,[status(thm)],[18960])).
% 34.32/22.97 tff(18962,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 34.32/22.97 inference(transitivity,[status(thm)],[18961, 18959])).
% 34.32/22.97 tff(18963,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(18964,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1))),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[18963, 18962])).
% 34.32/22.97 tff(18965,plain,
% 34.32/22.97 (v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1))),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18964, 434, 18912])).
% 34.32/22.97 tff(18966,plain,
% 34.32/22.97 (v90(constB128, bitIndex1) | (~v90(constB129, bitIndex1))),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18965, 18924])).
% 34.32/22.97 tff(18967,plain,
% 34.32/22.97 (~v90(constB129, bitIndex1)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18966, 18958])).
% 34.32/22.97 tff(18968,plain,
% 34.32/22.97 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB127)) | (~v130(constB127, bitIndex0)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(18969,plain,
% 34.32/22.97 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex0)))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(18970,plain,
% 34.32/22.97 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB127)) | (~v130(constB127, bitIndex0))),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[18969, 18968])).
% 34.32/22.97 tff(18971,plain,
% 34.32/22.97 (~v130(constB127, bitIndex0)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18970, 1721, 18809])).
% 34.32/22.97 tff(18972,plain,
% 34.32/22.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(18973,plain,
% 34.32/22.97 ((v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0))) <=> ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(18974,plain,
% 34.32/22.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)))),
% 34.32/22.97 inference(monotonicity,[status(thm)],[18973])).
% 34.32/22.97 tff(18975,plain,
% 34.32/22.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 34.32/22.97 inference(transitivity,[status(thm)],[18974, 18972])).
% 34.32/22.97 tff(18976,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(18977,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[18976, 18975])).
% 34.32/22.97 tff(18978,plain,
% 34.32/22.97 ((~v127(constB127, bitIndex0)) | v130(constB127, bitIndex0)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18977, 1182, 18829])).
% 34.32/22.97 tff(18979,plain,
% 34.32/22.97 (~v127(constB127, bitIndex0)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18978, 18971])).
% 34.32/22.97 tff(18980,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(18981,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(18982,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[18981, 18980])).
% 34.32/22.97 tff(18983,plain,
% 34.32/22.97 (v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18982, 1200, 18844])).
% 34.32/22.97 tff(18984,plain,
% 34.32/22.97 (~v129(constB128, bitIndex0)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18983, 18979])).
% 34.32/22.97 tff(18985,plain,
% 34.32/22.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(18986,plain,
% 34.32/22.97 (((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0)) <=> ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(18987,plain,
% 34.32/22.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))))),
% 34.32/22.97 inference(monotonicity,[status(thm)],[18986])).
% 34.32/22.97 tff(18988,plain,
% 34.32/22.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 34.32/22.97 inference(transitivity,[status(thm)],[18987, 18985])).
% 34.32/22.97 tff(18989,plain,
% 34.32/22.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(18990,plain,
% 34.32/22.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[18989, 18988])).
% 34.32/22.97 tff(18991,plain,
% 34.32/22.97 ((~v90(constB128, bitIndex0)) | (~v100(constB128))),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18990, 1215, 18984])).
% 34.32/22.97 tff(18992,plain,
% 34.32/22.97 (~v90(constB128, bitIndex0)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18991, 18884])).
% 34.32/22.97 tff(18993,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(18994,plain,
% 34.32/22.97 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))) <=> (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(18995,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0))))),
% 34.32/22.97 inference(monotonicity,[status(thm)],[18994])).
% 34.32/22.97 tff(18996,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 34.32/22.97 inference(transitivity,[status(thm)],[18995, 18993])).
% 34.32/22.97 tff(18997,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(18998,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[18997, 18996])).
% 34.32/22.97 tff(18999,plain,
% 34.32/22.97 (v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18998, 455, 18912])).
% 34.32/22.97 tff(19000,plain,
% 34.32/22.97 (v90(constB128, bitIndex0) | (~v90(constB129, bitIndex0))),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[18999, 18924])).
% 34.32/22.97 tff(19001,plain,
% 34.32/22.97 (~v90(constB129, bitIndex0)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[19000, 18992])).
% 34.32/22.97 tff(19002,plain,
% 34.32/22.97 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(19003,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(19004,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129)),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[19003, 19002])).
% 34.32/22.97 tff(19005,plain,
% 34.32/22.97 (v123(constB129)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[19004, 1765, 19001, 18967, 18933])).
% 34.32/22.97 tff(19006,plain,
% 34.32/22.97 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB129) | (~v123(constB129)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB129) | (~v123(constB129)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(19007,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB129) | (~v123(constB129)))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(19008,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB129) | (~v123(constB129))),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[19007, 19006])).
% 34.32/22.97 tff(19009,plain,
% 34.32/22.97 (v115(constB129)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[19008, 1776, 19005])).
% 34.32/22.97 tff(19010,plain,
% 34.32/22.97 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB129) | (~v115(constB129)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB129) | (~v115(constB129)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(19011,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB129) | (~v115(constB129)))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(19012,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB129) | (~v115(constB129))),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[19011, 19010])).
% 34.32/22.97 tff(19013,plain,
% 34.32/22.97 (v114(constB129)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[19012, 531, 19009])).
% 34.32/22.97 tff(19014,plain,
% 34.32/22.97 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB129) | (~v114(constB129)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB129) | (~v114(constB129)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(19015,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB129) | (~v114(constB129)))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(19016,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB129) | (~v114(constB129))),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[19015, 19014])).
% 34.32/22.97 tff(19017,plain,
% 34.32/22.97 (v113(constB129)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[19016, 542, 19013])).
% 34.32/22.97 tff(19018,assumption,(v26(constB129)), introduced(assumption)).
% 34.32/22.97 tff(19019,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB129))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(19020,plain,
% 34.32/22.97 ($false),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[19019, 120, 19018])).
% 34.32/22.97 tff(19021,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 34.32/22.97 tff(19022,plain,
% 34.32/22.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(19023,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(19024,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129)),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[19023, 19022])).
% 34.32/22.97 tff(19025,plain,
% 34.32/22.97 ((~v113(constB129)) | v112(constB129)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[19024, 556, 19021])).
% 34.32/22.97 tff(19026,plain,
% 34.32/22.97 (v112(constB129)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[19025, 19017])).
% 34.32/22.97 tff(19027,plain,
% 34.32/22.97 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB129) | (~v112(constB129)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB129) | (~v112(constB129)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(19028,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB129) | (~v112(constB129)))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(19029,plain,
% 34.32/22.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB129) | (~v112(constB129))),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[19028, 19027])).
% 34.32/22.97 tff(19030,plain,
% 34.32/22.97 (v108(constB129)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[19029, 568, 19026])).
% 34.32/22.97 tff(19031,plain,
% 34.32/22.97 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(19032,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 34.32/22.97 tff(19033,plain,
% 34.32/22.97 (nextState(constB129, constB130)),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[19032, 19031])).
% 34.32/22.97 tff(19034,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(19035,plain,
% 34.32/22.97 (((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130)) <=> ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(19036,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))))),
% 34.32/22.97 inference(monotonicity,[status(thm)],[19035])).
% 34.32/22.97 tff(19037,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 34.32/22.97 inference(transitivity,[status(thm)],[19036, 19034])).
% 34.32/22.97 tff(19038,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(19039,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[19038, 19037])).
% 34.32/22.97 tff(19040,plain,
% 34.32/22.97 (v110(constB130) | (~v108(constB129))),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[19039, 585, 19033])).
% 34.32/22.97 tff(19041,plain,
% 34.32/22.97 (v110(constB130)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[19040, 19030])).
% 34.32/22.97 tff(19042,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(19043,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(19044,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130))),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[19043, 19042])).
% 34.32/22.97 tff(19045,plain,
% 34.32/22.97 (~v104(constB130)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[19044, 603, 19033, 18909])).
% 34.32/22.97 tff(19046,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(19047,plain,
% 34.32/22.97 (((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130)) <=> ((~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(19048,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | v102(constB130)))),
% 34.32/22.97 inference(monotonicity,[status(thm)],[19047])).
% 34.32/22.97 tff(19049,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))),
% 34.32/22.97 inference(transitivity,[status(thm)],[19048, 19046])).
% 34.32/22.97 tff(19050,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(19051,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | v102(constB130)),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[19050, 19049])).
% 34.32/22.97 tff(19052,plain,
% 34.32/22.97 (v104(constB130) | v102(constB130)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[19051, 617, 19033])).
% 34.32/22.97 tff(19053,plain,
% 34.32/22.97 (v102(constB130)),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[19052, 19045])).
% 34.32/22.97 tff(19054,plain,
% 34.32/22.97 (v1(constB130) <=> v1(constB130)),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(19055,axiom,(v1(constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 34.32/22.97 tff(19056,plain,
% 34.32/22.97 (v1(constB130)),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[19055, 19054])).
% 34.32/22.97 tff(19057,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(19058,plain,
% 34.32/22.97 (((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130))) <=> ((~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))),
% 34.32/22.97 inference(rewrite,[status(thm)],[])).
% 34.32/22.97 tff(19059,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130))))),
% 34.32/22.97 inference(monotonicity,[status(thm)],[19058])).
% 34.32/22.97 tff(19060,plain,
% 34.32/22.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))),
% 34.32/22.97 inference(transitivity,[status(thm)],[19059, 19057])).
% 34.32/22.97 tff(19061,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 34.32/22.97 inference(quant_inst,[status(thm)],[])).
% 34.32/22.97 tff(19062,plain,
% 34.32/22.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130))),
% 34.32/22.97 inference(modus_ponens,[status(thm)],[19061, 19060])).
% 34.32/22.97 tff(19063,plain,
% 34.32/22.97 (v101(constB130) | (~v102(constB130))),
% 34.32/22.97 inference(unit_resolution,[status(thm)],[19062, 638, 19033, 19056])).
% 34.32/22.98 tff(19064,plain,
% 34.32/22.98 (v101(constB130)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19063, 19053])).
% 34.32/22.98 tff(19065,plain,
% 34.32/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19066,plain,
% 34.32/22.98 (((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130)) <=> ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19067,plain,
% 34.32/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))))),
% 34.32/22.98 inference(monotonicity,[status(thm)],[19066])).
% 34.32/22.98 tff(19068,plain,
% 34.32/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 34.32/22.98 inference(transitivity,[status(thm)],[19067, 19065])).
% 34.32/22.98 tff(19069,plain,
% 34.32/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))),
% 34.32/22.98 inference(quant_inst,[status(thm)],[])).
% 34.32/22.98 tff(19070,plain,
% 34.32/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 34.32/22.98 inference(modus_ponens,[status(thm)],[19069, 19068])).
% 34.32/22.98 tff(19071,plain,
% 34.32/22.98 (v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19070, 656, 19033])).
% 34.32/22.98 tff(19072,plain,
% 34.32/22.98 (v100(constB130) | (~v110(constB130))),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19071, 19064])).
% 34.32/22.98 tff(19073,plain,
% 34.32/22.98 (v100(constB130)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19072, 19041])).
% 34.32/22.98 tff(19074,plain,
% 34.32/22.98 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB129)) | v130(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB129)) | v130(constB129, bitIndex2))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19075,plain,
% 34.32/22.98 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB129)) | v130(constB129, bitIndex2))),
% 34.32/22.98 inference(quant_inst,[status(thm)],[])).
% 34.32/22.98 tff(19076,plain,
% 34.32/22.98 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB129)) | v130(constB129, bitIndex2)),
% 34.32/22.98 inference(modus_ponens,[status(thm)],[19075, 19074])).
% 34.32/22.98 tff(19077,plain,
% 34.32/22.98 (v130(constB129, bitIndex2)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19076, 1850, 19005])).
% 34.32/22.98 tff(19078,plain,
% 34.32/22.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19079,plain,
% 34.32/22.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))),
% 34.32/22.98 inference(quant_inst,[status(thm)],[])).
% 34.32/22.98 tff(19080,plain,
% 34.32/22.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2)),
% 34.32/22.98 inference(modus_ponens,[status(thm)],[19079, 19078])).
% 34.32/22.98 tff(19081,plain,
% 34.32/22.98 ((~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19080, 1592, 19021])).
% 34.32/22.98 tff(19082,plain,
% 34.32/22.98 (v127(constB129, bitIndex2)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19081, 19077])).
% 34.32/22.98 tff(19083,plain,
% 34.32/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19084,plain,
% 34.32/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))),
% 34.32/22.98 inference(quant_inst,[status(thm)],[])).
% 34.32/22.98 tff(19085,plain,
% 34.32/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2)),
% 34.32/22.98 inference(modus_ponens,[status(thm)],[19084, 19083])).
% 34.32/22.98 tff(19086,plain,
% 34.32/22.98 ((~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19085, 1607, 19033])).
% 34.32/22.98 tff(19087,plain,
% 34.32/22.98 (v129(constB130, bitIndex2)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19086, 19082])).
% 34.32/22.98 tff(19088,plain,
% 34.32/22.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19089,plain,
% 34.32/22.98 ((v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2))) <=> (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19090,plain,
% 34.32/22.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130))))),
% 34.32/22.98 inference(monotonicity,[status(thm)],[19089])).
% 34.32/22.98 tff(19091,plain,
% 34.32/22.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 34.32/22.98 inference(transitivity,[status(thm)],[19090, 19088])).
% 34.32/22.98 tff(19092,plain,
% 34.32/22.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))),
% 34.32/22.98 inference(quant_inst,[status(thm)],[])).
% 34.32/22.98 tff(19093,plain,
% 34.32/22.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130))),
% 34.32/22.98 inference(modus_ponens,[status(thm)],[19092, 19091])).
% 34.32/22.98 tff(19094,plain,
% 34.32/22.98 (v90(constB130, bitIndex2) | (~v100(constB130))),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19093, 1622, 19087])).
% 34.32/22.98 tff(19095,plain,
% 34.32/22.98 (v90(constB130, bitIndex2)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19094, 19073])).
% 34.32/22.98 tff(19096,plain,
% 34.32/22.98 ((~v1(constB131)) <=> (~v1(constB131))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19097,axiom,(~v1(constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 34.32/22.98 tff(19098,plain,
% 34.32/22.98 (~v1(constB131)),
% 34.32/22.98 inference(modus_ponens,[status(thm)],[19097, 19096])).
% 34.32/22.98 tff(19099,plain,
% 34.32/22.98 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19100,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 34.32/22.98 tff(19101,plain,
% 34.32/22.98 (nextState(constB130, constB131)),
% 34.32/22.98 inference(modus_ponens,[status(thm)],[19100, 19099])).
% 34.32/22.98 tff(19102,plain,
% 34.32/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19103,plain,
% 34.32/22.98 (((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19104,plain,
% 34.32/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))))),
% 34.32/22.98 inference(monotonicity,[status(thm)],[19103])).
% 34.32/22.98 tff(19105,plain,
% 34.32/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 34.32/22.98 inference(transitivity,[status(thm)],[19104, 19102])).
% 34.32/22.98 tff(19106,plain,
% 34.32/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))),
% 34.32/22.98 inference(quant_inst,[status(thm)],[])).
% 34.32/22.98 tff(19107,plain,
% 34.32/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))),
% 34.32/22.98 inference(modus_ponens,[status(thm)],[19106, 19105])).
% 34.32/22.98 tff(19108,plain,
% 34.32/22.98 (~v101(constB131)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19107, 381, 19101, 19098])).
% 34.32/22.98 tff(19109,plain,
% 34.32/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19110,plain,
% 34.32/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 34.32/22.98 inference(quant_inst,[status(thm)],[])).
% 34.32/22.98 tff(19111,plain,
% 34.32/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131))),
% 34.32/22.98 inference(modus_ponens,[status(thm)],[19110, 19109])).
% 34.32/22.98 tff(19112,plain,
% 34.32/22.98 (v101(constB131) | (~v100(constB131))),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19111, 398, 19101])).
% 34.32/22.98 tff(19113,plain,
% 34.32/22.98 (~v100(constB131)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19112, 19108])).
% 34.32/22.98 tff(19114,plain,
% 34.32/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19115,plain,
% 34.32/22.98 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2)) <=> ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19116,plain,
% 34.32/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2)))),
% 34.32/22.98 inference(monotonicity,[status(thm)],[19115])).
% 34.32/22.98 tff(19117,plain,
% 34.32/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 34.32/22.98 inference(transitivity,[status(thm)],[19116, 19114])).
% 34.32/22.98 tff(19118,plain,
% 34.32/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2))),
% 34.32/22.98 inference(quant_inst,[status(thm)],[])).
% 34.32/22.98 tff(19119,plain,
% 34.32/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2)),
% 34.32/22.98 inference(modus_ponens,[status(thm)],[19118, 19117])).
% 34.32/22.98 tff(19120,plain,
% 34.32/22.98 ((~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19119, 1658, 19101])).
% 34.32/22.98 tff(19121,plain,
% 34.32/22.98 ((~v90(constB130, bitIndex2)) | v90(constB131, bitIndex2)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19120, 19113])).
% 34.32/22.98 tff(19122,plain,
% 34.32/22.98 (v90(constB131, bitIndex2)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19121, 19095])).
% 34.32/22.98 tff(19123,plain,
% 34.32/22.98 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB129)) | (~v130(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB129)) | (~v130(constB129, bitIndex1)))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19124,plain,
% 34.32/22.98 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB129)) | (~v130(constB129, bitIndex1)))),
% 34.32/22.98 inference(quant_inst,[status(thm)],[])).
% 34.32/22.98 tff(19125,plain,
% 34.32/22.98 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB129)) | (~v130(constB129, bitIndex1))),
% 34.32/22.98 inference(modus_ponens,[status(thm)],[19124, 19123])).
% 34.32/22.98 tff(19126,plain,
% 34.32/22.98 (~v130(constB129, bitIndex1)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19125, 1909, 19005])).
% 34.32/22.98 tff(19127,plain,
% 34.32/22.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19128,plain,
% 34.32/22.98 ((v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1))) <=> ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19129,plain,
% 34.32/22.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1)))),
% 34.32/22.98 inference(monotonicity,[status(thm)],[19128])).
% 34.32/22.98 tff(19130,plain,
% 34.32/22.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 34.32/22.98 inference(transitivity,[status(thm)],[19129, 19127])).
% 34.32/22.98 tff(19131,plain,
% 34.32/22.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))),
% 34.32/22.98 inference(quant_inst,[status(thm)],[])).
% 34.32/22.98 tff(19132,plain,
% 34.32/22.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1)),
% 34.32/22.98 inference(modus_ponens,[status(thm)],[19131, 19130])).
% 34.32/22.98 tff(19133,plain,
% 34.32/22.98 ((~v127(constB129, bitIndex1)) | v130(constB129, bitIndex1)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19132, 781, 19021])).
% 34.32/22.98 tff(19134,plain,
% 34.32/22.98 (~v127(constB129, bitIndex1)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19133, 19126])).
% 34.32/22.98 tff(19135,plain,
% 34.32/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19136,plain,
% 34.32/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))),
% 34.32/22.98 inference(quant_inst,[status(thm)],[])).
% 34.32/22.98 tff(19137,plain,
% 34.32/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1))),
% 34.32/22.98 inference(modus_ponens,[status(thm)],[19136, 19135])).
% 34.32/22.98 tff(19138,plain,
% 34.32/22.98 (v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1))),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19137, 799, 19033])).
% 34.32/22.98 tff(19139,plain,
% 34.32/22.98 (~v129(constB130, bitIndex1)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19138, 19134])).
% 34.32/22.98 tff(19140,plain,
% 34.32/22.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19141,plain,
% 34.32/22.98 (((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1)) <=> ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19142,plain,
% 34.32/22.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130))))),
% 34.32/22.98 inference(monotonicity,[status(thm)],[19141])).
% 34.32/22.98 tff(19143,plain,
% 34.32/22.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 34.32/22.98 inference(transitivity,[status(thm)],[19142, 19140])).
% 34.32/22.98 tff(19144,plain,
% 34.32/22.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))),
% 34.32/22.98 inference(quant_inst,[status(thm)],[])).
% 34.32/22.98 tff(19145,plain,
% 34.32/22.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130))),
% 34.32/22.98 inference(modus_ponens,[status(thm)],[19144, 19143])).
% 34.32/22.98 tff(19146,plain,
% 34.32/22.98 ((~v90(constB130, bitIndex1)) | (~v100(constB130))),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19145, 814, 19139])).
% 34.32/22.98 tff(19147,plain,
% 34.32/22.98 (~v90(constB130, bitIndex1)),
% 34.32/22.98 inference(unit_resolution,[status(thm)],[19146, 19073])).
% 34.32/22.98 tff(19148,plain,
% 34.32/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19149,plain,
% 34.32/22.98 (((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1))) <=> (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 34.32/22.98 inference(rewrite,[status(thm)],[])).
% 34.32/22.98 tff(19150,plain,
% 34.32/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1))))),
% 34.32/22.98 inference(monotonicity,[status(thm)],[19149])).
% 34.32/22.98 tff(19151,plain,
% 34.32/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 34.32/22.98 inference(transitivity,[status(thm)],[19150, 19148])).
% 34.39/22.98 tff(19152,plain,
% 34.39/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 34.39/22.98 inference(quant_inst,[status(thm)],[])).
% 34.39/22.98 tff(19153,plain,
% 34.39/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1))),
% 34.39/22.98 inference(modus_ponens,[status(thm)],[19152, 19151])).
% 34.39/22.98 tff(19154,plain,
% 34.39/22.98 (v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1))),
% 34.39/22.98 inference(unit_resolution,[status(thm)],[19153, 434, 19101])).
% 34.39/22.98 tff(19155,plain,
% 34.39/22.98 (v90(constB130, bitIndex1) | (~v90(constB131, bitIndex1))),
% 34.39/22.98 inference(unit_resolution,[status(thm)],[19154, 19113])).
% 34.39/22.98 tff(19156,plain,
% 34.39/22.98 (~v90(constB131, bitIndex1)),
% 34.39/22.98 inference(unit_resolution,[status(thm)],[19155, 19147])).
% 34.39/22.98 tff(19157,plain,
% 34.39/22.98 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB129)) | v130(constB129, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB129)) | v130(constB129, bitIndex0))),
% 34.39/22.98 inference(rewrite,[status(thm)],[])).
% 34.39/22.98 tff(19158,plain,
% 34.39/22.98 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB129)) | v130(constB129, bitIndex0))),
% 34.39/22.98 inference(quant_inst,[status(thm)],[])).
% 34.39/22.98 tff(19159,plain,
% 34.39/22.98 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB129)) | v130(constB129, bitIndex0)),
% 34.39/22.98 inference(modus_ponens,[status(thm)],[19158, 19157])).
% 34.39/22.98 tff(19160,plain,
% 34.39/22.98 (v130(constB129, bitIndex0)),
% 34.39/22.98 inference(unit_resolution,[status(thm)],[19159, 1953, 19005])).
% 34.39/22.98 tff(19161,plain,
% 34.39/22.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 34.39/22.98 inference(rewrite,[status(thm)],[])).
% 34.39/22.98 tff(19162,plain,
% 34.39/22.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 34.39/22.98 inference(quant_inst,[status(thm)],[])).
% 34.39/22.98 tff(19163,plain,
% 34.39/22.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 34.39/22.98 inference(modus_ponens,[status(thm)],[19162, 19161])).
% 34.39/22.98 tff(19164,plain,
% 34.39/22.98 ((~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 34.39/22.98 inference(unit_resolution,[status(thm)],[19163, 855, 19021])).
% 34.39/22.98 tff(19165,plain,
% 34.39/22.98 (v127(constB129, bitIndex0)),
% 34.39/22.98 inference(unit_resolution,[status(thm)],[19164, 19160])).
% 34.39/22.98 tff(19166,plain,
% 34.39/22.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 34.39/22.98 inference(rewrite,[status(thm)],[])).
% 34.39/22.98 tff(19167,plain,
% 34.39/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 34.39/22.98 inference(quant_inst,[status(thm)],[])).
% 34.39/22.98 tff(19168,plain,
% 34.39/22.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 34.39/22.98 inference(modus_ponens,[status(thm)],[19167, 19166])).
% 34.39/22.98 tff(19169,plain,
% 34.39/22.98 ((~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 34.39/22.98 inference(unit_resolution,[status(thm)],[19168, 870, 19033])).
% 34.39/22.98 tff(19170,plain,
% 34.39/22.98 (v129(constB130, bitIndex0)),
% 34.39/22.98 inference(unit_resolution,[status(thm)],[19169, 19165])).
% 34.39/22.98 tff(19171,plain,
% 34.39/22.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 34.39/22.98 inference(rewrite,[status(thm)],[])).
% 34.39/22.98 tff(19172,plain,
% 34.39/22.98 ((v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0))) <=> (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 34.39/22.98 inference(rewrite,[status(thm)],[])).
% 34.39/22.98 tff(19173,plain,
% 34.39/22.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))))),
% 34.39/22.98 inference(monotonicity,[status(thm)],[19172])).
% 34.39/22.98 tff(19174,plain,
% 34.39/22.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 34.39/22.98 inference(transitivity,[status(thm)],[19173, 19171])).
% 34.39/22.98 tff(19175,plain,
% 34.39/22.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19176,plain,
% 34.39/22.99 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19175, 19174])).
% 34.39/22.99 tff(19177,plain,
% 34.39/22.99 (v90(constB130, bitIndex0) | (~v100(constB130))),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19176, 885, 19170])).
% 34.39/22.99 tff(19178,plain,
% 34.39/22.99 (v90(constB130, bitIndex0)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19177, 19073])).
% 34.39/22.99 tff(19179,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19180,plain,
% 34.39/22.99 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)) <=> ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19181,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0)))),
% 34.39/22.99 inference(monotonicity,[status(thm)],[19180])).
% 34.39/22.99 tff(19182,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 34.39/22.99 inference(transitivity,[status(thm)],[19181, 19179])).
% 34.39/22.99 tff(19183,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19184,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0)),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19183, 19182])).
% 34.39/22.99 tff(19185,plain,
% 34.39/22.99 ((~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19184, 903, 19101])).
% 34.39/22.99 tff(19186,plain,
% 34.39/22.99 ((~v90(constB130, bitIndex0)) | v90(constB131, bitIndex0)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19185, 19113])).
% 34.39/22.99 tff(19187,plain,
% 34.39/22.99 (v90(constB131, bitIndex0)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19186, 19178])).
% 34.39/22.99 tff(19188,plain,
% 34.39/22.99 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19189,plain,
% 34.39/22.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19190,plain,
% 34.39/22.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131)),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19189, 19188])).
% 34.39/22.99 tff(19191,plain,
% 34.39/22.99 (v124(constB131)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19190, 1994, 19187, 19156, 19122])).
% 34.39/22.99 tff(19192,plain,
% 34.39/22.99 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB131) | (~v124(constB131)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB131) | (~v124(constB131)))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19193,plain,
% 34.39/22.99 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB131) | (~v124(constB131)))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19194,plain,
% 34.39/22.99 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB131) | (~v124(constB131))),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19193, 19192])).
% 34.39/22.99 tff(19195,plain,
% 34.39/22.99 (v114(constB131)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19194, 2005, 19191])).
% 34.39/22.99 tff(19196,plain,
% 34.39/22.99 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB131) | (~v114(constB131)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB131) | (~v114(constB131)))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19197,plain,
% 34.39/22.99 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB131) | (~v114(constB131)))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19198,plain,
% 34.39/22.99 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB131) | (~v114(constB131))),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19197, 19196])).
% 34.39/22.99 tff(19199,plain,
% 34.39/22.99 (v113(constB131)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19198, 542, 19195])).
% 34.39/22.99 tff(19200,assumption,(v26(constB131)), introduced(assumption)).
% 34.39/22.99 tff(19201,plain,
% 34.39/22.99 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB131))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19202,plain,
% 34.39/22.99 ($false),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19201, 120, 19200])).
% 34.39/22.99 tff(19203,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 34.39/22.99 tff(19204,plain,
% 34.39/22.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19205,plain,
% 34.39/22.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19206,plain,
% 34.39/22.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131)),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19205, 19204])).
% 34.39/22.99 tff(19207,plain,
% 34.39/22.99 ((~v113(constB131)) | v112(constB131)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19206, 556, 19203])).
% 34.39/22.99 tff(19208,plain,
% 34.39/22.99 (v112(constB131)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19207, 19199])).
% 34.39/22.99 tff(19209,plain,
% 34.39/22.99 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB131) | (~v112(constB131)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB131) | (~v112(constB131)))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19210,plain,
% 34.39/22.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB131) | (~v112(constB131)))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19211,plain,
% 34.39/22.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB131) | (~v112(constB131))),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19210, 19209])).
% 34.39/22.99 tff(19212,plain,
% 34.39/22.99 (v108(constB131)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19211, 568, 19208])).
% 34.39/22.99 tff(19213,plain,
% 34.39/22.99 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19214,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 34.39/22.99 tff(19215,plain,
% 34.39/22.99 (nextState(constB131, constB132)),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19214, 19213])).
% 34.39/22.99 tff(19216,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19217,plain,
% 34.39/22.99 (((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132)) <=> ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19218,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))))),
% 34.39/22.99 inference(monotonicity,[status(thm)],[19217])).
% 34.39/22.99 tff(19219,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 34.39/22.99 inference(transitivity,[status(thm)],[19218, 19216])).
% 34.39/22.99 tff(19220,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19221,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19220, 19219])).
% 34.39/22.99 tff(19222,plain,
% 34.39/22.99 (v110(constB132) | (~v108(constB131))),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19221, 585, 19215])).
% 34.39/22.99 tff(19223,plain,
% 34.39/22.99 (v110(constB132)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19222, 19212])).
% 34.39/22.99 tff(19224,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19225,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19226,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132))),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19225, 19224])).
% 34.39/22.99 tff(19227,plain,
% 34.39/22.99 (~v104(constB132)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19226, 603, 19215, 19098])).
% 34.39/22.99 tff(19228,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19229,plain,
% 34.39/22.99 (((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132)) <=> ((~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19230,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | v102(constB132)))),
% 34.39/22.99 inference(monotonicity,[status(thm)],[19229])).
% 34.39/22.99 tff(19231,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))),
% 34.39/22.99 inference(transitivity,[status(thm)],[19230, 19228])).
% 34.39/22.99 tff(19232,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19233,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | v102(constB132)),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19232, 19231])).
% 34.39/22.99 tff(19234,plain,
% 34.39/22.99 (v104(constB132) | v102(constB132)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19233, 617, 19215])).
% 34.39/22.99 tff(19235,plain,
% 34.39/22.99 (v102(constB132)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19234, 19227])).
% 34.39/22.99 tff(19236,plain,
% 34.39/22.99 (v1(constB132) <=> v1(constB132)),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19237,axiom,(v1(constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 34.39/22.99 tff(19238,plain,
% 34.39/22.99 (v1(constB132)),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19237, 19236])).
% 34.39/22.99 tff(19239,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19240,plain,
% 34.39/22.99 (((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132))) <=> ((~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19241,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132))))),
% 34.39/22.99 inference(monotonicity,[status(thm)],[19240])).
% 34.39/22.99 tff(19242,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))),
% 34.39/22.99 inference(transitivity,[status(thm)],[19241, 19239])).
% 34.39/22.99 tff(19243,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19244,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132))),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19243, 19242])).
% 34.39/22.99 tff(19245,plain,
% 34.39/22.99 (v101(constB132) | (~v102(constB132))),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19244, 638, 19215, 19238])).
% 34.39/22.99 tff(19246,plain,
% 34.39/22.99 (v101(constB132)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19245, 19235])).
% 34.39/22.99 tff(19247,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19248,plain,
% 34.39/22.99 (((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132)) <=> ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19249,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))))),
% 34.39/22.99 inference(monotonicity,[status(thm)],[19248])).
% 34.39/22.99 tff(19250,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 34.39/22.99 inference(transitivity,[status(thm)],[19249, 19247])).
% 34.39/22.99 tff(19251,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19252,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19251, 19250])).
% 34.39/22.99 tff(19253,plain,
% 34.39/22.99 (v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19252, 656, 19215])).
% 34.39/22.99 tff(19254,plain,
% 34.39/22.99 (v100(constB132) | (~v110(constB132))),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19253, 19246])).
% 34.39/22.99 tff(19255,plain,
% 34.39/22.99 (v100(constB132)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19254, 19223])).
% 34.39/22.99 tff(19256,plain,
% 34.39/22.99 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB131)) | v130(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB131)) | v130(constB131, bitIndex2))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19257,plain,
% 34.39/22.99 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB131)) | v130(constB131, bitIndex2))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19258,plain,
% 34.39/22.99 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB131)) | v130(constB131, bitIndex2)),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19257, 19256])).
% 34.39/22.99 tff(19259,plain,
% 34.39/22.99 (v130(constB131, bitIndex2)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19258, 2075, 19191])).
% 34.39/22.99 tff(19260,plain,
% 34.39/22.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19261,plain,
% 34.39/22.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19262,plain,
% 34.39/22.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19261, 19260])).
% 34.39/22.99 tff(19263,plain,
% 34.39/22.99 ((~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19262, 1592, 19203])).
% 34.39/22.99 tff(19264,plain,
% 34.39/22.99 (v127(constB131, bitIndex2)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19263, 19259])).
% 34.39/22.99 tff(19265,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19266,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19267,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19266, 19265])).
% 34.39/22.99 tff(19268,plain,
% 34.39/22.99 ((~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19267, 1607, 19215])).
% 34.39/22.99 tff(19269,plain,
% 34.39/22.99 (v129(constB132, bitIndex2)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19268, 19264])).
% 34.39/22.99 tff(19270,plain,
% 34.39/22.99 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19271,plain,
% 34.39/22.99 ((v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2))) <=> (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19272,plain,
% 34.39/22.99 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))))),
% 34.39/22.99 inference(monotonicity,[status(thm)],[19271])).
% 34.39/22.99 tff(19273,plain,
% 34.39/22.99 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 34.39/22.99 inference(transitivity,[status(thm)],[19272, 19270])).
% 34.39/22.99 tff(19274,plain,
% 34.39/22.99 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19275,plain,
% 34.39/22.99 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19274, 19273])).
% 34.39/22.99 tff(19276,plain,
% 34.39/22.99 (v90(constB132, bitIndex2) | (~v100(constB132))),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19275, 1622, 19269])).
% 34.39/22.99 tff(19277,plain,
% 34.39/22.99 (v90(constB132, bitIndex2)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19276, 19255])).
% 34.39/22.99 tff(19278,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19279,plain,
% 34.39/22.99 (((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19280,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))))),
% 34.39/22.99 inference(monotonicity,[status(thm)],[19279])).
% 34.39/22.99 tff(19281,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 34.39/22.99 inference(transitivity,[status(thm)],[19280, 19278])).
% 34.39/22.99 tff(19282,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19283,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19282, 19281])).
% 34.39/22.99 tff(19284,plain,
% 34.39/22.99 (~v101(constB133)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19283, 381, 250, 181])).
% 34.39/22.99 tff(19285,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19286,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19287,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133))),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19286, 19285])).
% 34.39/22.99 tff(19288,plain,
% 34.39/22.99 (v101(constB133) | (~v100(constB133))),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19287, 398, 250])).
% 34.39/22.99 tff(19289,plain,
% 34.39/22.99 (~v100(constB133)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19288, 19284])).
% 34.39/22.99 tff(19290,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19291,plain,
% 34.39/22.99 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)) <=> ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19292,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2)))),
% 34.39/22.99 inference(monotonicity,[status(thm)],[19291])).
% 34.39/22.99 tff(19293,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 34.39/22.99 inference(transitivity,[status(thm)],[19292, 19290])).
% 34.39/22.99 tff(19294,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19295,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2)),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19294, 19293])).
% 34.39/22.99 tff(19296,plain,
% 34.39/22.99 ((~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19295, 1658, 250])).
% 34.39/22.99 tff(19297,plain,
% 34.39/22.99 ((~v90(constB132, bitIndex2)) | v90(constB133, bitIndex2)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19296, 19289])).
% 34.39/22.99 tff(19298,plain,
% 34.39/22.99 (v90(constB133, bitIndex2)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19297, 19277])).
% 34.39/22.99 tff(19299,plain,
% 34.39/22.99 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB131)) | v130(constB131, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB131)) | v130(constB131, bitIndex1))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19300,plain,
% 34.39/22.99 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB131)) | v130(constB131, bitIndex1))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19301,plain,
% 34.39/22.99 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB131)) | v130(constB131, bitIndex1)),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19300, 19299])).
% 34.39/22.99 tff(19302,plain,
% 34.39/22.99 (v130(constB131, bitIndex1)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19301, 2145, 19191])).
% 34.39/22.99 tff(19303,plain,
% 34.39/22.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19304,plain,
% 34.39/22.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))),
% 34.39/22.99 inference(quant_inst,[status(thm)],[])).
% 34.39/22.99 tff(19305,plain,
% 34.39/22.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1)),
% 34.39/22.99 inference(modus_ponens,[status(thm)],[19304, 19303])).
% 34.39/22.99 tff(19306,plain,
% 34.39/22.99 ((~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19305, 1101, 19203])).
% 34.39/22.99 tff(19307,plain,
% 34.39/22.99 (v127(constB131, bitIndex1)),
% 34.39/22.99 inference(unit_resolution,[status(thm)],[19306, 19302])).
% 34.39/22.99 tff(19308,plain,
% 34.39/22.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))),
% 34.39/22.99 inference(rewrite,[status(thm)],[])).
% 34.39/22.99 tff(19309,plain,
% 34.39/22.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19310,plain,
% 34.39/23.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1)),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19309, 19308])).
% 34.39/23.00 tff(19311,plain,
% 34.39/23.00 ((~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19310, 1116, 19215])).
% 34.39/23.00 tff(19312,plain,
% 34.39/23.00 (v129(constB132, bitIndex1)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19311, 19307])).
% 34.39/23.00 tff(19313,plain,
% 34.39/23.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19314,plain,
% 34.39/23.00 ((v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1))) <=> (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19315,plain,
% 34.39/23.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132))))),
% 34.39/23.00 inference(monotonicity,[status(thm)],[19314])).
% 34.39/23.00 tff(19316,plain,
% 34.39/23.00 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 34.39/23.00 inference(transitivity,[status(thm)],[19315, 19313])).
% 34.39/23.00 tff(19317,plain,
% 34.39/23.00 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19318,plain,
% 34.39/23.00 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132))),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19317, 19316])).
% 34.39/23.00 tff(19319,plain,
% 34.39/23.00 (v90(constB132, bitIndex1) | (~v100(constB132))),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19318, 1131, 19312])).
% 34.39/23.00 tff(19320,plain,
% 34.39/23.00 (v90(constB132, bitIndex1)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19319, 19255])).
% 34.39/23.00 tff(19321,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19322,plain,
% 34.39/23.00 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1)) <=> ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19323,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1)))),
% 34.39/23.00 inference(monotonicity,[status(thm)],[19322])).
% 34.39/23.00 tff(19324,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 34.39/23.00 inference(transitivity,[status(thm)],[19323, 19321])).
% 34.39/23.00 tff(19325,plain,
% 34.39/23.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19326,plain,
% 34.39/23.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1)),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19325, 19324])).
% 34.39/23.00 tff(19327,plain,
% 34.39/23.00 ((~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19326, 1149, 250])).
% 34.39/23.00 tff(19328,plain,
% 34.39/23.00 ((~v90(constB132, bitIndex1)) | v90(constB133, bitIndex1)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19327, 19289])).
% 34.39/23.00 tff(19329,plain,
% 34.39/23.00 (v90(constB133, bitIndex1)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19328, 19320])).
% 34.39/23.00 tff(19330,plain,
% 34.39/23.00 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB131)) | (~v130(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB131)) | (~v130(constB131, bitIndex0)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19331,plain,
% 34.39/23.00 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB131)) | (~v130(constB131, bitIndex0)))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19332,plain,
% 34.39/23.00 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB131)) | (~v130(constB131, bitIndex0))),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19331, 19330])).
% 34.39/23.00 tff(19333,plain,
% 34.39/23.00 (~v130(constB131, bitIndex0)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19332, 2277, 19191])).
% 34.39/23.00 tff(19334,plain,
% 34.39/23.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19335,plain,
% 34.39/23.00 ((v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0))) <=> ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19336,plain,
% 34.39/23.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)))),
% 34.39/23.00 inference(monotonicity,[status(thm)],[19335])).
% 34.39/23.00 tff(19337,plain,
% 34.39/23.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 34.39/23.00 inference(transitivity,[status(thm)],[19336, 19334])).
% 34.39/23.00 tff(19338,plain,
% 34.39/23.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19339,plain,
% 34.39/23.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19338, 19337])).
% 34.39/23.00 tff(19340,plain,
% 34.39/23.00 ((~v127(constB131, bitIndex0)) | v130(constB131, bitIndex0)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19339, 1182, 19203])).
% 34.39/23.00 tff(19341,plain,
% 34.39/23.00 (~v127(constB131, bitIndex0)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19340, 19333])).
% 34.39/23.00 tff(19342,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19343,plain,
% 34.39/23.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19344,plain,
% 34.39/23.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19343, 19342])).
% 34.39/23.00 tff(19345,plain,
% 34.39/23.00 (v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19344, 1200, 19215])).
% 34.39/23.00 tff(19346,plain,
% 34.39/23.00 (~v129(constB132, bitIndex0)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19345, 19341])).
% 34.39/23.00 tff(19347,plain,
% 34.39/23.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19348,plain,
% 34.39/23.00 (((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0)) <=> ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19349,plain,
% 34.39/23.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))))),
% 34.39/23.00 inference(monotonicity,[status(thm)],[19348])).
% 34.39/23.00 tff(19350,plain,
% 34.39/23.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 34.39/23.00 inference(transitivity,[status(thm)],[19349, 19347])).
% 34.39/23.00 tff(19351,plain,
% 34.39/23.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19352,plain,
% 34.39/23.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19351, 19350])).
% 34.39/23.00 tff(19353,plain,
% 34.39/23.00 ((~v90(constB132, bitIndex0)) | (~v100(constB132))),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19352, 1215, 19346])).
% 34.39/23.00 tff(19354,plain,
% 34.39/23.00 (~v90(constB132, bitIndex0)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19353, 19255])).
% 34.39/23.00 tff(19355,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19356,plain,
% 34.39/23.00 (((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))) <=> (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19357,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0))))),
% 34.39/23.00 inference(monotonicity,[status(thm)],[19356])).
% 34.39/23.00 tff(19358,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 34.39/23.00 inference(transitivity,[status(thm)],[19357, 19355])).
% 34.39/23.00 tff(19359,plain,
% 34.39/23.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19360,plain,
% 34.39/23.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19359, 19358])).
% 34.39/23.00 tff(19361,plain,
% 34.39/23.00 (v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19360, 455, 250])).
% 34.39/23.00 tff(19362,plain,
% 34.39/23.00 (v90(constB132, bitIndex0) | (~v90(constB133, bitIndex0))),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19361, 19289])).
% 34.39/23.00 tff(19363,plain,
% 34.39/23.00 (~v90(constB133, bitIndex0)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19362, 19354])).
% 34.39/23.00 tff(19364,plain,
% 34.39/23.00 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19365,plain,
% 34.39/23.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19366,plain,
% 34.39/23.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133)),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19365, 19364])).
% 34.39/23.00 tff(19367,plain,
% 34.39/23.00 (v125(constB133)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19366, 2321, 19363, 19329, 19298])).
% 34.39/23.00 tff(19368,plain,
% 34.39/23.00 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB133) | (~v125(constB133)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB133) | (~v125(constB133)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19369,plain,
% 34.39/23.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB133) | (~v125(constB133)))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19370,plain,
% 34.39/23.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB133) | (~v125(constB133))),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19369, 19368])).
% 34.39/23.00 tff(19371,plain,
% 34.39/23.00 (v113(constB133)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19370, 2332, 19367])).
% 34.39/23.00 tff(19372,plain,
% 34.39/23.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19373,plain,
% 34.39/23.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19374,plain,
% 34.39/23.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | (~v113(constB133)) | v112(constB133)),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19373, 19372])).
% 34.39/23.00 tff(19375,plain,
% 34.39/23.00 (v26(constB133) | v112(constB133)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19374, 556, 19371])).
% 34.39/23.00 tff(19376,plain,
% 34.39/23.00 (v112(constB133)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19375, 322])).
% 34.39/23.00 tff(19377,plain,
% 34.39/23.00 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB133) | (~v112(constB133)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB133) | (~v112(constB133)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19378,plain,
% 34.39/23.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB133) | (~v112(constB133)))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19379,plain,
% 34.39/23.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB133) | (~v112(constB133))),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19378, 19377])).
% 34.39/23.00 tff(19380,plain,
% 34.39/23.00 (v108(constB133)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19379, 568, 19376])).
% 34.39/23.00 tff(19381,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19382,plain,
% 34.39/23.00 (((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134)) <=> ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19383,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))))),
% 34.39/23.00 inference(monotonicity,[status(thm)],[19382])).
% 34.39/23.00 tff(19384,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 34.39/23.00 inference(transitivity,[status(thm)],[19383, 19381])).
% 34.39/23.00 tff(19385,plain,
% 34.39/23.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19386,plain,
% 34.39/23.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19385, 19384])).
% 34.39/23.00 tff(19387,plain,
% 34.39/23.00 (v110(constB134) | (~v108(constB133))),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19386, 585, 162])).
% 34.39/23.00 tff(19388,plain,
% 34.39/23.00 (v110(constB134)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19387, 19380])).
% 34.39/23.00 tff(19389,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19390,plain,
% 34.39/23.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19391,plain,
% 34.39/23.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134))),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19390, 19389])).
% 34.39/23.00 tff(19392,plain,
% 34.39/23.00 (~v104(constB134)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19391, 603, 162, 181])).
% 34.39/23.00 tff(19393,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19394,plain,
% 34.39/23.00 (((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134)) <=> ((~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19395,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | v102(constB134)))),
% 34.39/23.00 inference(monotonicity,[status(thm)],[19394])).
% 34.39/23.00 tff(19396,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))),
% 34.39/23.00 inference(transitivity,[status(thm)],[19395, 19393])).
% 34.39/23.00 tff(19397,plain,
% 34.39/23.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19398,plain,
% 34.39/23.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | v102(constB134)),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19397, 19396])).
% 34.39/23.00 tff(19399,plain,
% 34.39/23.00 (v104(constB134) | v102(constB134)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19398, 617, 162])).
% 34.39/23.00 tff(19400,plain,
% 34.39/23.00 (v102(constB134)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19399, 19392])).
% 34.39/23.00 tff(19401,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19402,plain,
% 34.39/23.00 (((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134))) <=> ((~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19403,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134))))),
% 34.39/23.00 inference(monotonicity,[status(thm)],[19402])).
% 34.39/23.00 tff(19404,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))),
% 34.39/23.00 inference(transitivity,[status(thm)],[19403, 19401])).
% 34.39/23.00 tff(19405,plain,
% 34.39/23.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 34.39/23.00 inference(quant_inst,[status(thm)],[])).
% 34.39/23.00 tff(19406,plain,
% 34.39/23.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134))),
% 34.39/23.00 inference(modus_ponens,[status(thm)],[19405, 19404])).
% 34.39/23.00 tff(19407,plain,
% 34.39/23.00 (v101(constB134) | (~v102(constB134))),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19406, 638, 162, 146])).
% 34.39/23.00 tff(19408,plain,
% 34.39/23.00 (v101(constB134)),
% 34.39/23.00 inference(unit_resolution,[status(thm)],[19407, 19400])).
% 34.39/23.00 tff(19409,plain,
% 34.39/23.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19410,plain,
% 34.39/23.00 (((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134)) <=> ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 34.39/23.00 inference(rewrite,[status(thm)],[])).
% 34.39/23.00 tff(19411,plain,
% 34.39/23.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))))),
% 34.39/23.01 inference(monotonicity,[status(thm)],[19410])).
% 34.39/23.01 tff(19412,plain,
% 34.39/23.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 34.39/23.01 inference(transitivity,[status(thm)],[19411, 19409])).
% 34.39/23.01 tff(19413,plain,
% 34.39/23.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19414,plain,
% 34.39/23.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19413, 19412])).
% 34.39/23.01 tff(19415,plain,
% 34.39/23.01 (v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19414, 656, 162])).
% 34.39/23.01 tff(19416,plain,
% 34.39/23.01 (v100(constB134) | (~v110(constB134))),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19415, 19408])).
% 34.39/23.01 tff(19417,plain,
% 34.39/23.01 (v100(constB134)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19416, 19388])).
% 34.39/23.01 tff(19418,plain,
% 34.39/23.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v121(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v121(constB133)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19419,plain,
% 34.39/23.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v121(constB133)))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19420,plain,
% 34.39/23.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v121(constB133))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19419, 19418])).
% 34.39/23.01 tff(19421,plain,
% 34.39/23.01 (~v121(constB133)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19420, 2216, 19298])).
% 34.39/23.01 tff(19422,plain,
% 34.39/23.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v122(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v122(constB133)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19423,plain,
% 34.39/23.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v122(constB133)))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19424,plain,
% 34.39/23.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v122(constB133))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19423, 19422])).
% 34.39/23.01 tff(19425,plain,
% 34.39/23.01 (~v122(constB133)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19424, 2131, 19298])).
% 34.39/23.01 tff(19426,plain,
% 34.39/23.01 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB133)) | (~v90(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB133)) | (~v90(constB133, bitIndex1)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19427,plain,
% 34.39/23.01 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB133)) | (~v90(constB133, bitIndex1)))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19428,plain,
% 34.39/23.01 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB133)) | (~v90(constB133, bitIndex1))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19427, 19426])).
% 34.39/23.01 tff(19429,plain,
% 34.39/23.01 (~v119(constB133)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19428, 2230, 19329])).
% 34.39/23.01 tff(19430,plain,
% 34.39/23.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v120(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v120(constB133)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19431,plain,
% 34.39/23.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v120(constB133)))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19432,plain,
% 34.39/23.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v120(constB133))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19431, 19430])).
% 34.39/23.01 tff(19433,plain,
% 34.39/23.01 (~v120(constB133)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19432, 2183, 19329])).
% 34.39/23.01 tff(19434,plain,
% 34.39/23.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v123(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v123(constB133)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19435,plain,
% 34.39/23.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v123(constB133)))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19436,plain,
% 34.39/23.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v123(constB133))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19435, 19434])).
% 34.39/23.01 tff(19437,plain,
% 34.39/23.01 (~v123(constB133)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19436, 2194, 19329])).
% 34.39/23.01 tff(19438,plain,
% 34.39/23.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v124(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v124(constB133)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19439,plain,
% 34.39/23.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v124(constB133)))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19440,plain,
% 34.39/23.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v124(constB133))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19439, 19438])).
% 34.39/23.01 tff(19441,plain,
% 34.39/23.01 (~v124(constB133)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19440, 2205, 19329])).
% 34.39/23.01 tff(19442,plain,
% 34.39/23.01 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | (~v130(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | (~v130(constB133, bitIndex2)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19443,plain,
% 34.39/23.01 ((v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2))) <=> (v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | (~v130(constB133, bitIndex2)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19444,plain,
% 34.39/23.01 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | (~v130(constB133, bitIndex2))))),
% 34.39/23.01 inference(monotonicity,[status(thm)],[19443])).
% 34.39/23.01 tff(19445,plain,
% 34.39/23.01 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | (~v130(constB133, bitIndex2)))),
% 34.39/23.01 inference(transitivity,[status(thm)],[19444, 19442])).
% 34.39/23.01 tff(19446,plain,
% 34.39/23.01 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2)))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19447,plain,
% 34.39/23.01 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | (~v130(constB133, bitIndex2))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19446, 19445])).
% 34.39/23.01 tff(19448,plain,
% 34.39/23.01 (~v130(constB133, bitIndex2)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19447, 2244, 19441, 19437, 19433, 19429, 19425, 19421])).
% 34.39/23.01 tff(19449,plain,
% 34.39/23.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19450,plain,
% 34.39/23.01 ((v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2))) <=> ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19451,plain,
% 34.39/23.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2)))),
% 34.39/23.01 inference(monotonicity,[status(thm)],[19450])).
% 34.39/23.01 tff(19452,plain,
% 34.39/23.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 34.39/23.01 inference(transitivity,[status(thm)],[19451, 19449])).
% 34.39/23.01 tff(19453,plain,
% 34.39/23.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19454,plain,
% 34.39/23.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2)),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19453, 19452])).
% 34.39/23.01 tff(19455,plain,
% 34.39/23.01 ((~v127(constB133, bitIndex2)) | v26(constB133)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19454, 689, 19448])).
% 34.39/23.01 tff(19456,plain,
% 34.39/23.01 (~v127(constB133, bitIndex2)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19455, 322])).
% 34.39/23.01 tff(19457,plain,
% 34.39/23.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19458,plain,
% 34.39/23.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19459,plain,
% 34.39/23.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19458, 19457])).
% 34.39/23.01 tff(19460,plain,
% 34.39/23.01 (v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2))),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19459, 707, 162])).
% 34.39/23.01 tff(19461,plain,
% 34.39/23.01 (~v129(constB134, bitIndex2)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19460, 19456])).
% 34.39/23.01 tff(19462,plain,
% 34.39/23.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19463,plain,
% 34.39/23.01 (((~v90(constB134, bitIndex2)) | (~v100(constB134)) | v129(constB134, bitIndex2)) <=> ((~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19464,plain,
% 34.39/23.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~v100(constB134)) | v129(constB134, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134))))),
% 34.39/23.01 inference(monotonicity,[status(thm)],[19463])).
% 34.39/23.01 tff(19465,plain,
% 34.39/23.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~v100(constB134)) | v129(constB134, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))),
% 34.39/23.01 inference(transitivity,[status(thm)],[19464, 19462])).
% 34.39/23.01 tff(19466,plain,
% 34.39/23.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~v100(constB134)) | v129(constB134, bitIndex2))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19467,plain,
% 34.39/23.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19466, 19465])).
% 34.39/23.01 tff(19468,plain,
% 34.39/23.01 ((~v90(constB134, bitIndex2)) | (~v100(constB134))),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19467, 722, 19461])).
% 34.39/23.01 tff(19469,plain,
% 34.39/23.01 (~v90(constB134, bitIndex2)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19468, 19417])).
% 34.39/23.01 tff(19470,plain,
% 34.39/23.01 ((~v1(constB135)) <=> (~v1(constB135))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19471,axiom,(~v1(constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 34.39/23.01 tff(19472,plain,
% 34.39/23.01 (~v1(constB135)),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19471, 19470])).
% 34.39/23.01 tff(19473,plain,
% 34.39/23.01 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19474,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 34.39/23.01 tff(19475,plain,
% 34.39/23.01 (nextState(constB134, constB135)),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19474, 19473])).
% 34.39/23.01 tff(19476,plain,
% 34.39/23.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19477,plain,
% 34.39/23.01 (((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19478,plain,
% 34.39/23.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))))),
% 34.39/23.01 inference(monotonicity,[status(thm)],[19477])).
% 34.39/23.01 tff(19479,plain,
% 34.39/23.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 34.39/23.01 inference(transitivity,[status(thm)],[19478, 19476])).
% 34.39/23.01 tff(19480,plain,
% 34.39/23.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19481,plain,
% 34.39/23.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19480, 19479])).
% 34.39/23.01 tff(19482,plain,
% 34.39/23.01 (~v101(constB135)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19481, 381, 19475, 19472])).
% 34.39/23.01 tff(19483,plain,
% 34.39/23.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19484,plain,
% 34.39/23.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19485,plain,
% 34.39/23.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19484, 19483])).
% 34.39/23.01 tff(19486,plain,
% 34.39/23.01 (v101(constB135) | (~v100(constB135))),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19485, 398, 19475])).
% 34.39/23.01 tff(19487,plain,
% 34.39/23.01 (~v100(constB135)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19486, 19482])).
% 34.39/23.01 tff(19488,plain,
% 34.39/23.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19489,plain,
% 34.39/23.01 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2))) <=> (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19490,plain,
% 34.39/23.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2))))),
% 34.39/23.01 inference(monotonicity,[status(thm)],[19489])).
% 34.39/23.01 tff(19491,plain,
% 34.39/23.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 34.39/23.01 inference(transitivity,[status(thm)],[19490, 19488])).
% 34.39/23.01 tff(19492,plain,
% 34.39/23.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19493,plain,
% 34.39/23.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19492, 19491])).
% 34.39/23.01 tff(19494,plain,
% 34.39/23.01 (v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2))),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19493, 413, 19475])).
% 34.39/23.01 tff(19495,plain,
% 34.39/23.01 (v90(constB134, bitIndex2) | (~v90(constB135, bitIndex2))),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19494, 19487])).
% 34.39/23.01 tff(19496,plain,
% 34.39/23.01 (~v90(constB135, bitIndex2)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19495, 19469])).
% 34.39/23.01 tff(19497,plain,
% 34.39/23.01 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | (~v130(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | (~v130(constB133, bitIndex1)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19498,plain,
% 34.39/23.01 ((v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1))) <=> (v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | (~v130(constB133, bitIndex1)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19499,plain,
% 34.39/23.01 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | (~v130(constB133, bitIndex1))))),
% 34.39/23.01 inference(monotonicity,[status(thm)],[19498])).
% 34.39/23.01 tff(19500,plain,
% 34.39/23.01 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | (~v130(constB133, bitIndex1)))),
% 34.39/23.01 inference(transitivity,[status(thm)],[19499, 19497])).
% 34.39/23.01 tff(19501,plain,
% 34.39/23.01 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19502,plain,
% 34.39/23.01 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | (~v130(constB133, bitIndex1))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19501, 19500])).
% 34.39/23.01 tff(19503,plain,
% 34.39/23.01 (~v130(constB133, bitIndex1)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19502, 2448, 19441, 19437, 19433, 19429, 19425, 19421])).
% 34.39/23.01 tff(19504,plain,
% 34.39/23.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19505,plain,
% 34.39/23.01 ((v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1))) <=> ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19506,plain,
% 34.39/23.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1)))),
% 34.39/23.01 inference(monotonicity,[status(thm)],[19505])).
% 34.39/23.01 tff(19507,plain,
% 34.39/23.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 34.39/23.01 inference(transitivity,[status(thm)],[19506, 19504])).
% 34.39/23.01 tff(19508,plain,
% 34.39/23.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19509,plain,
% 34.39/23.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1)),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19508, 19507])).
% 34.39/23.01 tff(19510,plain,
% 34.39/23.01 ((~v127(constB133, bitIndex1)) | v26(constB133)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19509, 781, 19503])).
% 34.39/23.01 tff(19511,plain,
% 34.39/23.01 (~v127(constB133, bitIndex1)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19510, 322])).
% 34.39/23.01 tff(19512,plain,
% 34.39/23.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19513,plain,
% 34.39/23.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19514,plain,
% 34.39/23.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19513, 19512])).
% 34.39/23.01 tff(19515,plain,
% 34.39/23.01 (v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1))),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19514, 799, 162])).
% 34.39/23.01 tff(19516,plain,
% 34.39/23.01 (~v129(constB134, bitIndex1)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19515, 19511])).
% 34.39/23.01 tff(19517,plain,
% 34.39/23.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19518,plain,
% 34.39/23.01 (((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1)) <=> ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 34.39/23.01 inference(rewrite,[status(thm)],[])).
% 34.39/23.01 tff(19519,plain,
% 34.39/23.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134))))),
% 34.39/23.01 inference(monotonicity,[status(thm)],[19518])).
% 34.39/23.01 tff(19520,plain,
% 34.39/23.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 34.39/23.01 inference(transitivity,[status(thm)],[19519, 19517])).
% 34.39/23.01 tff(19521,plain,
% 34.39/23.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))),
% 34.39/23.01 inference(quant_inst,[status(thm)],[])).
% 34.39/23.01 tff(19522,plain,
% 34.39/23.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134))),
% 34.39/23.01 inference(modus_ponens,[status(thm)],[19521, 19520])).
% 34.39/23.01 tff(19523,plain,
% 34.39/23.01 ((~v90(constB134, bitIndex1)) | (~v100(constB134))),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19522, 814, 19516])).
% 34.39/23.01 tff(19524,plain,
% 34.39/23.01 (~v90(constB134, bitIndex1)),
% 34.39/23.01 inference(unit_resolution,[status(thm)],[19523, 19417])).
% 34.39/23.01 tff(19525,plain,
% 34.39/23.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19526,plain,
% 34.39/23.02 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1))) <=> (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19527,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1))))),
% 34.39/23.02 inference(monotonicity,[status(thm)],[19526])).
% 34.39/23.02 tff(19528,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 34.39/23.02 inference(transitivity,[status(thm)],[19527, 19525])).
% 34.39/23.02 tff(19529,plain,
% 34.39/23.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19530,plain,
% 34.39/23.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1))),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19529, 19528])).
% 34.39/23.02 tff(19531,plain,
% 34.39/23.02 (v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1))),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19530, 434, 19475])).
% 34.39/23.02 tff(19532,plain,
% 34.39/23.02 (v90(constB134, bitIndex1) | (~v90(constB135, bitIndex1))),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19531, 19487])).
% 34.39/23.02 tff(19533,plain,
% 34.39/23.02 (~v90(constB135, bitIndex1)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19532, 19524])).
% 34.39/23.02 tff(19534,plain,
% 34.39/23.02 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | v130(constB133, bitIndex0))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19535,plain,
% 34.39/23.02 ((v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0)) <=> (v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | v130(constB133, bitIndex0))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19536,plain,
% 34.39/23.02 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | v130(constB133, bitIndex0)))),
% 34.39/23.02 inference(monotonicity,[status(thm)],[19535])).
% 34.39/23.02 tff(19537,plain,
% 34.39/23.02 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | v130(constB133, bitIndex0))),
% 34.39/23.02 inference(transitivity,[status(thm)],[19536, 19534])).
% 34.39/23.02 tff(19538,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19539,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v120(constB133) | v130(constB133, bitIndex0)),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19538, 19537])).
% 34.39/23.02 tff(19540,plain,
% 34.39/23.02 (v130(constB133, bitIndex0)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19539, 2495, 19441, 19437, 19433, 19429, 19425, 19421])).
% 34.39/23.02 tff(19541,plain,
% 34.39/23.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19542,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19543,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0)),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19542, 19541])).
% 34.39/23.02 tff(19544,plain,
% 34.39/23.02 (v26(constB133) | v127(constB133, bitIndex0)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19543, 855, 19540])).
% 34.39/23.02 tff(19545,plain,
% 34.39/23.02 (v127(constB133, bitIndex0)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19544, 322])).
% 34.39/23.02 tff(19546,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19547,plain,
% 34.39/23.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19548,plain,
% 34.39/23.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0)),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19547, 19546])).
% 34.39/23.02 tff(19549,plain,
% 34.39/23.02 ((~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19548, 870, 162])).
% 34.39/23.02 tff(19550,plain,
% 34.39/23.02 (v129(constB134, bitIndex0)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19549, 19545])).
% 34.39/23.02 tff(19551,plain,
% 34.39/23.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19552,plain,
% 34.39/23.02 ((v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0))) <=> (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19553,plain,
% 34.39/23.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134))))),
% 34.39/23.02 inference(monotonicity,[status(thm)],[19552])).
% 34.39/23.02 tff(19554,plain,
% 34.39/23.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 34.39/23.02 inference(transitivity,[status(thm)],[19553, 19551])).
% 34.39/23.02 tff(19555,plain,
% 34.39/23.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19556,plain,
% 34.39/23.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134))),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19555, 19554])).
% 34.39/23.02 tff(19557,plain,
% 34.39/23.02 (v90(constB134, bitIndex0) | (~v100(constB134))),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19556, 885, 19550])).
% 34.39/23.02 tff(19558,plain,
% 34.39/23.02 (v90(constB134, bitIndex0)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19557, 19417])).
% 34.39/23.02 tff(19559,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19560,plain,
% 34.39/23.02 (((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0)) <=> ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19561,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0)))),
% 34.39/23.02 inference(monotonicity,[status(thm)],[19560])).
% 34.39/23.02 tff(19562,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 34.39/23.02 inference(transitivity,[status(thm)],[19561, 19559])).
% 34.39/23.02 tff(19563,plain,
% 34.39/23.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19564,plain,
% 34.39/23.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0)),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19563, 19562])).
% 34.39/23.02 tff(19565,plain,
% 34.39/23.02 ((~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19564, 903, 19475])).
% 34.39/23.02 tff(19566,plain,
% 34.39/23.02 ((~v90(constB134, bitIndex0)) | v90(constB135, bitIndex0)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19565, 19487])).
% 34.39/23.02 tff(19567,plain,
% 34.39/23.02 (v90(constB135, bitIndex0)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19566, 19558])).
% 34.39/23.02 tff(19568,plain,
% 34.39/23.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19569,plain,
% 34.39/23.02 (((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)) <=> ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19570,plain,
% 34.39/23.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135)))),
% 34.39/23.02 inference(monotonicity,[status(thm)],[19569])).
% 34.39/23.02 tff(19571,plain,
% 34.39/23.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 34.39/23.02 inference(transitivity,[status(thm)],[19570, 19568])).
% 34.39/23.02 tff(19572,plain,
% 34.39/23.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19573,plain,
% 34.39/23.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135)),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19572, 19571])).
% 34.39/23.02 tff(19574,plain,
% 34.39/23.02 (v120(constB135)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19573, 922, 19567, 19533, 19496])).
% 34.39/23.02 tff(19575,plain,
% 34.39/23.02 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB135) | (~v120(constB135)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB135) | (~v120(constB135)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19576,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB135) | (~v120(constB135)))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19577,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB135) | (~v120(constB135))),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19576, 19575])).
% 34.39/23.02 tff(19578,plain,
% 34.39/23.02 (v118(constB135)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19577, 936, 19574])).
% 34.39/23.02 tff(19579,plain,
% 34.39/23.02 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB135) | (~v118(constB135)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB135) | (~v118(constB135)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19580,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB135) | (~v118(constB135)))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19581,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB135) | (~v118(constB135))),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19580, 19579])).
% 34.39/23.02 tff(19582,plain,
% 34.39/23.02 (v117(constB135)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19581, 498, 19578])).
% 34.39/23.02 tff(19583,plain,
% 34.39/23.02 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB135) | (~v117(constB135)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB135) | (~v117(constB135)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19584,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB135) | (~v117(constB135)))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19585,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB135) | (~v117(constB135))),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19584, 19583])).
% 34.39/23.02 tff(19586,plain,
% 34.39/23.02 (v116(constB135)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19585, 509, 19582])).
% 34.39/23.02 tff(19587,plain,
% 34.39/23.02 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB135) | (~v116(constB135)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB135) | (~v116(constB135)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19588,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB135) | (~v116(constB135)))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19589,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB135) | (~v116(constB135))),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19588, 19587])).
% 34.39/23.02 tff(19590,plain,
% 34.39/23.02 (v115(constB135)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19589, 520, 19586])).
% 34.39/23.02 tff(19591,plain,
% 34.39/23.02 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB135) | (~v115(constB135)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB135) | (~v115(constB135)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19592,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB135) | (~v115(constB135)))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19593,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB135) | (~v115(constB135))),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19592, 19591])).
% 34.39/23.02 tff(19594,plain,
% 34.39/23.02 (v114(constB135)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19593, 531, 19590])).
% 34.39/23.02 tff(19595,plain,
% 34.39/23.02 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB135) | (~v114(constB135)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB135) | (~v114(constB135)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19596,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB135) | (~v114(constB135)))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19597,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB135) | (~v114(constB135))),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19596, 19595])).
% 34.39/23.02 tff(19598,plain,
% 34.39/23.02 (v113(constB135)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19597, 542, 19594])).
% 34.39/23.02 tff(19599,plain,
% 34.39/23.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | v112(constB135) | (~v113(constB135)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | v112(constB135) | (~v113(constB135)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19600,plain,
% 34.39/23.02 ((v26(constB135) | (~v113(constB135)) | v112(constB135)) <=> (v26(constB135) | v112(constB135) | (~v113(constB135)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19601,plain,
% 34.39/23.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | v112(constB135) | (~v113(constB135))))),
% 34.39/23.02 inference(monotonicity,[status(thm)],[19600])).
% 34.39/23.02 tff(19602,plain,
% 34.39/23.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | v112(constB135) | (~v113(constB135)))),
% 34.39/23.02 inference(transitivity,[status(thm)],[19601, 19599])).
% 34.39/23.02 tff(19603,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19604,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | v112(constB135) | (~v113(constB135))),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19603, 19602])).
% 34.39/23.02 tff(19605,plain,
% 34.39/23.02 (v26(constB135) | v112(constB135)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19604, 556, 19598])).
% 34.39/23.02 tff(19606,plain,
% 34.39/23.02 (v112(constB135)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19605, 128])).
% 34.39/23.02 tff(19607,plain,
% 34.39/23.02 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB135) | (~v112(constB135)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19608,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB135) | (~v112(constB135)))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19609,plain,
% 34.39/23.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB135) | (~v112(constB135))),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19608, 19607])).
% 34.39/23.02 tff(19610,plain,
% 34.39/23.02 (v108(constB135)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19609, 568, 19606])).
% 34.39/23.02 tff(19611,plain,
% 34.39/23.02 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19612,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 34.39/23.02 tff(19613,plain,
% 34.39/23.02 (nextState(constB135, constB136)),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19612, 19611])).
% 34.39/23.02 tff(19614,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19615,plain,
% 34.39/23.02 (((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136)) <=> ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19616,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))))),
% 34.39/23.02 inference(monotonicity,[status(thm)],[19615])).
% 34.39/23.02 tff(19617,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 34.39/23.02 inference(transitivity,[status(thm)],[19616, 19614])).
% 34.39/23.02 tff(19618,plain,
% 34.39/23.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19619,plain,
% 34.39/23.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19618, 19617])).
% 34.39/23.02 tff(19620,plain,
% 34.39/23.02 (v110(constB136) | (~v108(constB135))),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19619, 585, 19613])).
% 34.39/23.02 tff(19621,plain,
% 34.39/23.02 (v110(constB136)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19620, 19610])).
% 34.39/23.02 tff(19622,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19623,plain,
% 34.39/23.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19624,plain,
% 34.39/23.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136))),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19623, 19622])).
% 34.39/23.02 tff(19625,plain,
% 34.39/23.02 (~v104(constB136)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19624, 603, 19613, 19472])).
% 34.39/23.02 tff(19626,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19627,plain,
% 34.39/23.02 (((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136)) <=> ((~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19628,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v102(constB136)))),
% 34.39/23.02 inference(monotonicity,[status(thm)],[19627])).
% 34.39/23.02 tff(19629,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))),
% 34.39/23.02 inference(transitivity,[status(thm)],[19628, 19626])).
% 34.39/23.02 tff(19630,plain,
% 34.39/23.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19631,plain,
% 34.39/23.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | v102(constB136)),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19630, 19629])).
% 34.39/23.02 tff(19632,plain,
% 34.39/23.02 (v104(constB136) | v102(constB136)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19631, 617, 19613])).
% 34.39/23.02 tff(19633,plain,
% 34.39/23.02 (v102(constB136)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19632, 19625])).
% 34.39/23.02 tff(19634,plain,
% 34.39/23.02 (v1(constB136) <=> v1(constB136)),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19635,axiom,(v1(constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 34.39/23.02 tff(19636,plain,
% 34.39/23.02 (v1(constB136)),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19635, 19634])).
% 34.39/23.02 tff(19637,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19638,plain,
% 34.39/23.02 (((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136))) <=> ((~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19639,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136))))),
% 34.39/23.02 inference(monotonicity,[status(thm)],[19638])).
% 34.39/23.02 tff(19640,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))),
% 34.39/23.02 inference(transitivity,[status(thm)],[19639, 19637])).
% 34.39/23.02 tff(19641,plain,
% 34.39/23.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 34.39/23.02 inference(quant_inst,[status(thm)],[])).
% 34.39/23.02 tff(19642,plain,
% 34.39/23.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136))),
% 34.39/23.02 inference(modus_ponens,[status(thm)],[19641, 19640])).
% 34.39/23.02 tff(19643,plain,
% 34.39/23.02 (v101(constB136) | (~v102(constB136))),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19642, 638, 19613, 19636])).
% 34.39/23.02 tff(19644,plain,
% 34.39/23.02 (v101(constB136)),
% 34.39/23.02 inference(unit_resolution,[status(thm)],[19643, 19633])).
% 34.39/23.02 tff(19645,plain,
% 34.39/23.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 34.39/23.02 inference(rewrite,[status(thm)],[])).
% 34.39/23.02 tff(19646,plain,
% 34.39/23.02 (((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136)) <=> ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19647,plain,
% 34.39/23.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))))),
% 34.39/23.03 inference(monotonicity,[status(thm)],[19646])).
% 34.39/23.03 tff(19648,plain,
% 34.39/23.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 34.39/23.03 inference(transitivity,[status(thm)],[19647, 19645])).
% 34.39/23.03 tff(19649,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19650,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19649, 19648])).
% 34.39/23.03 tff(19651,plain,
% 34.39/23.03 (v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19650, 656, 19613])).
% 34.39/23.03 tff(19652,plain,
% 34.39/23.03 (v100(constB136) | (~v110(constB136))),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19651, 19644])).
% 34.39/23.03 tff(19653,plain,
% 34.39/23.03 (v100(constB136)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19652, 19621])).
% 34.39/23.03 tff(19654,plain,
% 34.39/23.03 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB135)) | (~v130(constB135, bitIndex2)))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19655,plain,
% 34.39/23.03 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex2)))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19656,plain,
% 34.39/23.03 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB135)) | (~v130(constB135, bitIndex2))),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19655, 19654])).
% 34.39/23.03 tff(19657,plain,
% 34.39/23.03 (~v130(constB135, bitIndex2)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19656, 1025, 19574])).
% 34.39/23.03 tff(19658,plain,
% 34.39/23.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19659,plain,
% 34.39/23.03 ((v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2))) <=> ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19660,plain,
% 34.39/23.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)))),
% 34.39/23.03 inference(monotonicity,[status(thm)],[19659])).
% 34.39/23.03 tff(19661,plain,
% 34.39/23.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 34.39/23.03 inference(transitivity,[status(thm)],[19660, 19658])).
% 34.39/23.03 tff(19662,plain,
% 34.39/23.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19663,plain,
% 34.39/23.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19662, 19661])).
% 34.39/23.03 tff(19664,plain,
% 34.39/23.03 ((~v127(constB135, bitIndex2)) | v26(constB135)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19663, 689, 19657])).
% 34.39/23.03 tff(19665,plain,
% 34.39/23.03 (~v127(constB135, bitIndex2)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19664, 128])).
% 34.39/23.03 tff(19666,plain,
% 34.39/23.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19667,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19668,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19667, 19666])).
% 34.39/23.03 tff(19669,plain,
% 34.39/23.03 (v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19668, 707, 19613])).
% 34.39/23.03 tff(19670,plain,
% 34.39/23.03 (~v129(constB136, bitIndex2)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19669, 19665])).
% 34.39/23.03 tff(19671,plain,
% 34.39/23.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19672,plain,
% 34.39/23.03 (((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2)) <=> ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19673,plain,
% 34.39/23.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136))))),
% 34.39/23.03 inference(monotonicity,[status(thm)],[19672])).
% 34.39/23.03 tff(19674,plain,
% 34.39/23.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 34.39/23.03 inference(transitivity,[status(thm)],[19673, 19671])).
% 34.39/23.03 tff(19675,plain,
% 34.39/23.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19676,plain,
% 34.39/23.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136))),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19675, 19674])).
% 34.39/23.03 tff(19677,plain,
% 34.39/23.03 ((~v90(constB136, bitIndex2)) | (~v100(constB136))),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19676, 722, 19670])).
% 34.39/23.03 tff(19678,plain,
% 34.39/23.03 (~v90(constB136, bitIndex2)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19677, 19653])).
% 34.39/23.03 tff(19679,plain,
% 34.39/23.03 ((~v1(constB137)) <=> (~v1(constB137))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19680,axiom,(~v1(constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 34.39/23.03 tff(19681,plain,
% 34.39/23.03 (~v1(constB137)),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19680, 19679])).
% 34.39/23.03 tff(19682,plain,
% 34.39/23.03 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19683,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 34.39/23.03 tff(19684,plain,
% 34.39/23.03 (nextState(constB136, constB137)),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19683, 19682])).
% 34.39/23.03 tff(19685,plain,
% 34.39/23.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19686,plain,
% 34.39/23.03 (((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19687,plain,
% 34.39/23.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))))),
% 34.39/23.03 inference(monotonicity,[status(thm)],[19686])).
% 34.39/23.03 tff(19688,plain,
% 34.39/23.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 34.39/23.03 inference(transitivity,[status(thm)],[19687, 19685])).
% 34.39/23.03 tff(19689,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19690,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19689, 19688])).
% 34.39/23.03 tff(19691,plain,
% 34.39/23.03 (~v101(constB137)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19690, 381, 19684, 19681])).
% 34.39/23.03 tff(19692,plain,
% 34.39/23.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19693,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19694,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137))),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19693, 19692])).
% 34.39/23.03 tff(19695,plain,
% 34.39/23.03 (v101(constB137) | (~v100(constB137))),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19694, 398, 19684])).
% 34.39/23.03 tff(19696,plain,
% 34.39/23.03 (~v100(constB137)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19695, 19691])).
% 34.39/23.03 tff(19697,plain,
% 34.39/23.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19698,plain,
% 34.39/23.03 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))) <=> (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19699,plain,
% 34.39/23.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2))))),
% 34.39/23.03 inference(monotonicity,[status(thm)],[19698])).
% 34.39/23.03 tff(19700,plain,
% 34.39/23.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 34.39/23.03 inference(transitivity,[status(thm)],[19699, 19697])).
% 34.39/23.03 tff(19701,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19702,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19701, 19700])).
% 34.39/23.03 tff(19703,plain,
% 34.39/23.03 (v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19702, 413, 19684])).
% 34.39/23.03 tff(19704,plain,
% 34.39/23.03 (v90(constB136, bitIndex2) | (~v90(constB137, bitIndex2))),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19703, 19696])).
% 34.39/23.03 tff(19705,plain,
% 34.39/23.03 (~v90(constB137, bitIndex2)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19704, 19678])).
% 34.39/23.03 tff(19706,plain,
% 34.39/23.03 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB135)) | v130(constB135, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB135)) | v130(constB135, bitIndex1))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19707,plain,
% 34.39/23.03 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB135)) | v130(constB135, bitIndex1))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19708,plain,
% 34.39/23.03 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB135)) | v130(constB135, bitIndex1)),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19707, 19706])).
% 34.39/23.03 tff(19709,plain,
% 34.39/23.03 (v130(constB135, bitIndex1)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19708, 1087, 19574])).
% 34.39/23.03 tff(19710,plain,
% 34.39/23.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19711,plain,
% 34.39/23.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19712,plain,
% 34.39/23.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1)),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19711, 19710])).
% 34.39/23.03 tff(19713,plain,
% 34.39/23.03 (v26(constB135) | v127(constB135, bitIndex1)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19712, 1101, 19709])).
% 34.39/23.03 tff(19714,plain,
% 34.39/23.03 (v127(constB135, bitIndex1)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19713, 128])).
% 34.39/23.03 tff(19715,plain,
% 34.39/23.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19716,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19717,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1)),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19716, 19715])).
% 34.39/23.03 tff(19718,plain,
% 34.39/23.03 ((~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19717, 1116, 19613])).
% 34.39/23.03 tff(19719,plain,
% 34.39/23.03 (v129(constB136, bitIndex1)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19718, 19714])).
% 34.39/23.03 tff(19720,plain,
% 34.39/23.03 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19721,plain,
% 34.39/23.03 ((v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1))) <=> (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19722,plain,
% 34.39/23.03 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136))))),
% 34.39/23.03 inference(monotonicity,[status(thm)],[19721])).
% 34.39/23.03 tff(19723,plain,
% 34.39/23.03 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 34.39/23.03 inference(transitivity,[status(thm)],[19722, 19720])).
% 34.39/23.03 tff(19724,plain,
% 34.39/23.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19725,plain,
% 34.39/23.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136))),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19724, 19723])).
% 34.39/23.03 tff(19726,plain,
% 34.39/23.03 (v90(constB136, bitIndex1) | (~v100(constB136))),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19725, 1131, 19719])).
% 34.39/23.03 tff(19727,plain,
% 34.39/23.03 (v90(constB136, bitIndex1)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19726, 19653])).
% 34.39/23.03 tff(19728,plain,
% 34.39/23.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19729,plain,
% 34.39/23.03 (((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1)) <=> ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19730,plain,
% 34.39/23.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1)))),
% 34.39/23.03 inference(monotonicity,[status(thm)],[19729])).
% 34.39/23.03 tff(19731,plain,
% 34.39/23.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 34.39/23.03 inference(transitivity,[status(thm)],[19730, 19728])).
% 34.39/23.03 tff(19732,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19733,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1)),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19732, 19731])).
% 34.39/23.03 tff(19734,plain,
% 34.39/23.03 ((~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19733, 1149, 19684])).
% 34.39/23.03 tff(19735,plain,
% 34.39/23.03 ((~v90(constB136, bitIndex1)) | v90(constB137, bitIndex1)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19734, 19696])).
% 34.39/23.03 tff(19736,plain,
% 34.39/23.03 (v90(constB137, bitIndex1)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19735, 19727])).
% 34.39/23.03 tff(19737,plain,
% 34.39/23.03 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB135)) | (~v130(constB135, bitIndex0)))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19738,plain,
% 34.39/23.03 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex0)))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19739,plain,
% 34.39/23.03 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB135)) | (~v130(constB135, bitIndex0))),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19738, 19737])).
% 34.39/23.03 tff(19740,plain,
% 34.39/23.03 (~v130(constB135, bitIndex0)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19739, 1168, 19574])).
% 34.39/23.03 tff(19741,plain,
% 34.39/23.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19742,plain,
% 34.39/23.03 ((v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0))) <=> ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19743,plain,
% 34.39/23.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0)))),
% 34.39/23.03 inference(monotonicity,[status(thm)],[19742])).
% 34.39/23.03 tff(19744,plain,
% 34.39/23.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 34.39/23.03 inference(transitivity,[status(thm)],[19743, 19741])).
% 34.39/23.03 tff(19745,plain,
% 34.39/23.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19746,plain,
% 34.39/23.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0)),
% 34.39/23.03 inference(modus_ponens,[status(thm)],[19745, 19744])).
% 34.39/23.03 tff(19747,plain,
% 34.39/23.03 ((~v127(constB135, bitIndex0)) | v26(constB135)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19746, 1182, 19740])).
% 34.39/23.03 tff(19748,plain,
% 34.39/23.03 (~v127(constB135, bitIndex0)),
% 34.39/23.03 inference(unit_resolution,[status(thm)],[19747, 128])).
% 34.39/23.03 tff(19749,plain,
% 34.39/23.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))),
% 34.39/23.03 inference(rewrite,[status(thm)],[])).
% 34.39/23.03 tff(19750,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))),
% 34.39/23.03 inference(quant_inst,[status(thm)],[])).
% 34.39/23.03 tff(19751,plain,
% 34.39/23.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19750, 19749])).
% 34.39/23.04 tff(19752,plain,
% 34.39/23.04 (v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0))),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19751, 1200, 19613])).
% 34.39/23.04 tff(19753,plain,
% 34.39/23.04 (~v129(constB136, bitIndex0)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19752, 19748])).
% 34.39/23.04 tff(19754,plain,
% 34.39/23.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19755,plain,
% 34.39/23.04 (((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0)) <=> ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19756,plain,
% 34.39/23.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136))))),
% 34.39/23.04 inference(monotonicity,[status(thm)],[19755])).
% 34.39/23.04 tff(19757,plain,
% 34.39/23.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 34.39/23.04 inference(transitivity,[status(thm)],[19756, 19754])).
% 34.39/23.04 tff(19758,plain,
% 34.39/23.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19759,plain,
% 34.39/23.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19758, 19757])).
% 34.39/23.04 tff(19760,plain,
% 34.39/23.04 ((~v90(constB136, bitIndex0)) | (~v100(constB136))),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19759, 1215, 19753])).
% 34.39/23.04 tff(19761,plain,
% 34.39/23.04 (~v90(constB136, bitIndex0)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19760, 19653])).
% 34.39/23.04 tff(19762,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19763,plain,
% 34.39/23.04 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0))) <=> (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19764,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0))))),
% 34.39/23.04 inference(monotonicity,[status(thm)],[19763])).
% 34.39/23.04 tff(19765,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 34.39/23.04 inference(transitivity,[status(thm)],[19764, 19762])).
% 34.39/23.04 tff(19766,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19767,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19766, 19765])).
% 34.39/23.04 tff(19768,plain,
% 34.39/23.04 (v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0))),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19767, 455, 19684])).
% 34.39/23.04 tff(19769,plain,
% 34.39/23.04 (v90(constB136, bitIndex0) | (~v90(constB137, bitIndex0))),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19768, 19696])).
% 34.39/23.04 tff(19770,plain,
% 34.39/23.04 (~v90(constB137, bitIndex0)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19769, 19761])).
% 34.39/23.04 tff(19771,plain,
% 34.39/23.04 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19772,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19773,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137)),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19772, 19771])).
% 34.39/23.04 tff(19774,plain,
% 34.39/23.04 (v121(constB137)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19773, 1242, 19770, 19736, 19705])).
% 34.39/23.04 tff(19775,plain,
% 34.39/23.04 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB137)) | (~v130(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB137)) | (~v130(constB137, bitIndex2)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19776,plain,
% 34.39/23.04 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB137)) | (~v130(constB137, bitIndex2)))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19777,plain,
% 34.39/23.04 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB137)) | (~v130(constB137, bitIndex2))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19776, 19775])).
% 34.39/23.04 tff(19778,plain,
% 34.39/23.04 (~v130(constB137, bitIndex2)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19777, 1342, 19774])).
% 34.39/23.04 tff(19779,plain,
% 34.39/23.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19780,plain,
% 34.39/23.04 ((v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2))) <=> ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19781,plain,
% 34.39/23.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)))),
% 34.39/23.04 inference(monotonicity,[status(thm)],[19780])).
% 34.39/23.04 tff(19782,plain,
% 34.39/23.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 34.39/23.04 inference(transitivity,[status(thm)],[19781, 19779])).
% 34.39/23.04 tff(19783,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19784,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19783, 19782])).
% 34.39/23.04 tff(19785,plain,
% 34.39/23.04 ((~v127(constB137, bitIndex2)) | v26(constB137)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19784, 689, 19778])).
% 34.39/23.04 tff(19786,plain,
% 34.39/23.04 (~v127(constB137, bitIndex2)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19785, 124])).
% 34.39/23.04 tff(19787,plain,
% 34.39/23.04 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19788,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 34.39/23.04 tff(19789,plain,
% 34.39/23.04 (nextState(constB137, constB138)),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19788, 19787])).
% 34.39/23.04 tff(19790,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19791,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19792,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19791, 19790])).
% 34.39/23.04 tff(19793,plain,
% 34.39/23.04 (v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19792, 707, 19789])).
% 34.39/23.04 tff(19794,plain,
% 34.39/23.04 (~v129(constB138, bitIndex2)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19793, 19786])).
% 34.39/23.04 tff(19795,assumption,(~v108(constB137)), introduced(assumption)).
% 34.39/23.04 tff(19796,plain,
% 34.39/23.04 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB137) | (~v112(constB137)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19797,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB137) | (~v112(constB137)))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19798,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB137) | (~v112(constB137))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19797, 19796])).
% 34.39/23.04 tff(19799,plain,
% 34.39/23.04 (~v112(constB137)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19798, 568, 19795])).
% 34.39/23.04 tff(19800,plain,
% 34.39/23.04 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB137) | (~v26(constB137)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB137) | (~v26(constB137)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19801,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB137) | (~v26(constB137)))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19802,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB137) | (~v26(constB137))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19801, 19800])).
% 34.39/23.04 tff(19803,plain,
% 34.39/23.04 (~v26(constB137)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19802, 2348, 19795])).
% 34.39/23.04 tff(19804,plain,
% 34.39/23.04 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB137) | (~v121(constB137)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB137) | (~v121(constB137)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19805,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB137) | (~v121(constB137)))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19806,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB137) | (~v121(constB137))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19805, 19804])).
% 34.39/23.04 tff(19807,plain,
% 34.39/23.04 (v117(constB137)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19806, 1253, 19774])).
% 34.39/23.04 tff(19808,plain,
% 34.39/23.04 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB137) | (~v117(constB137)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB137) | (~v117(constB137)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19809,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB137) | (~v117(constB137)))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19810,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB137) | (~v117(constB137))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19809, 19808])).
% 34.39/23.04 tff(19811,plain,
% 34.39/23.04 (v116(constB137)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19810, 509, 19807])).
% 34.39/23.04 tff(19812,plain,
% 34.39/23.04 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB137) | (~v116(constB137)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB137) | (~v116(constB137)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19813,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB137) | (~v116(constB137)))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19814,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB137) | (~v116(constB137))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19813, 19812])).
% 34.39/23.04 tff(19815,plain,
% 34.39/23.04 (v115(constB137)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19814, 520, 19811])).
% 34.39/23.04 tff(19816,plain,
% 34.39/23.04 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB137) | (~v115(constB137)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB137) | (~v115(constB137)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19817,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB137) | (~v115(constB137)))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19818,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB137) | (~v115(constB137))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19817, 19816])).
% 34.39/23.04 tff(19819,plain,
% 34.39/23.04 (v114(constB137)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19818, 531, 19815])).
% 34.39/23.04 tff(19820,plain,
% 34.39/23.04 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB137) | (~v114(constB137)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB137) | (~v114(constB137)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19821,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB137) | (~v114(constB137)))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19822,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB137) | (~v114(constB137))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19821, 19820])).
% 34.39/23.04 tff(19823,plain,
% 34.39/23.04 (v113(constB137)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19822, 542, 19819])).
% 34.39/23.04 tff(19824,plain,
% 34.39/23.04 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19825,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19826,plain,
% 34.39/23.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137)),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19825, 19824])).
% 34.39/23.04 tff(19827,plain,
% 34.39/23.04 (v26(constB137) | v112(constB137)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19826, 556, 19823])).
% 34.39/23.04 tff(19828,plain,
% 34.39/23.04 ($false),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19827, 19803, 19799])).
% 34.39/23.04 tff(19829,plain,(v108(constB137)), inference(lemma,lemma(discharge,[]))).
% 34.39/23.04 tff(19830,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19831,plain,
% 34.39/23.04 (((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138)) <=> ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19832,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))))),
% 34.39/23.04 inference(monotonicity,[status(thm)],[19831])).
% 34.39/23.04 tff(19833,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 34.39/23.04 inference(transitivity,[status(thm)],[19832, 19830])).
% 34.39/23.04 tff(19834,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19835,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19834, 19833])).
% 34.39/23.04 tff(19836,plain,
% 34.39/23.04 (v110(constB138) | (~v108(constB137))),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19835, 585, 19789])).
% 34.39/23.04 tff(19837,plain,
% 34.39/23.04 (v110(constB138)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19836, 19829])).
% 34.39/23.04 tff(19838,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19839,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19840,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19839, 19838])).
% 34.39/23.04 tff(19841,plain,
% 34.39/23.04 (~v104(constB138)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19840, 603, 19789, 19681])).
% 34.39/23.04 tff(19842,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19843,plain,
% 34.39/23.04 (((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138)) <=> ((~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19844,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | v102(constB138)))),
% 34.39/23.04 inference(monotonicity,[status(thm)],[19843])).
% 34.39/23.04 tff(19845,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))),
% 34.39/23.04 inference(transitivity,[status(thm)],[19844, 19842])).
% 34.39/23.04 tff(19846,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19847,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | v102(constB138)),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19846, 19845])).
% 34.39/23.04 tff(19848,plain,
% 34.39/23.04 (v104(constB138) | v102(constB138)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19847, 617, 19789])).
% 34.39/23.04 tff(19849,plain,
% 34.39/23.04 (v102(constB138)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19848, 19841])).
% 34.39/23.04 tff(19850,plain,
% 34.39/23.04 (v1(constB138) <=> v1(constB138)),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19851,axiom,(v1(constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 34.39/23.04 tff(19852,plain,
% 34.39/23.04 (v1(constB138)),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19851, 19850])).
% 34.39/23.04 tff(19853,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19854,plain,
% 34.39/23.04 (((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138))) <=> ((~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19855,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138))))),
% 34.39/23.04 inference(monotonicity,[status(thm)],[19854])).
% 34.39/23.04 tff(19856,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))),
% 34.39/23.04 inference(transitivity,[status(thm)],[19855, 19853])).
% 34.39/23.04 tff(19857,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19858,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19857, 19856])).
% 34.39/23.04 tff(19859,plain,
% 34.39/23.04 (v101(constB138) | (~v102(constB138))),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19858, 638, 19789, 19852])).
% 34.39/23.04 tff(19860,plain,
% 34.39/23.04 (v101(constB138)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19859, 19849])).
% 34.39/23.04 tff(19861,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19862,plain,
% 34.39/23.04 (((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138)) <=> ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19863,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))))),
% 34.39/23.04 inference(monotonicity,[status(thm)],[19862])).
% 34.39/23.04 tff(19864,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 34.39/23.04 inference(transitivity,[status(thm)],[19863, 19861])).
% 34.39/23.04 tff(19865,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19866,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19865, 19864])).
% 34.39/23.04 tff(19867,plain,
% 34.39/23.04 (v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19866, 656, 19789])).
% 34.39/23.04 tff(19868,plain,
% 34.39/23.04 (v100(constB138) | (~v110(constB138))),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19867, 19860])).
% 34.39/23.04 tff(19869,plain,
% 34.39/23.04 (v100(constB138)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19868, 19837])).
% 34.39/23.04 tff(19870,plain,
% 34.39/23.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19871,plain,
% 34.39/23.04 (((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2)) <=> ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19872,plain,
% 34.39/23.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138))))),
% 34.39/23.04 inference(monotonicity,[status(thm)],[19871])).
% 34.39/23.04 tff(19873,plain,
% 34.39/23.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 34.39/23.04 inference(transitivity,[status(thm)],[19872, 19870])).
% 34.39/23.04 tff(19874,plain,
% 34.39/23.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19875,plain,
% 34.39/23.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19874, 19873])).
% 34.39/23.04 tff(19876,plain,
% 34.39/23.04 ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19875, 722, 19869])).
% 34.39/23.04 tff(19877,plain,
% 34.39/23.04 (~v90(constB138, bitIndex2)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19876, 19794])).
% 34.39/23.04 tff(19878,plain,
% 34.39/23.04 ((~v1(constB139)) <=> (~v1(constB139))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19879,axiom,(~v1(constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 34.39/23.04 tff(19880,plain,
% 34.39/23.04 (~v1(constB139)),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19879, 19878])).
% 34.39/23.04 tff(19881,plain,
% 34.39/23.04 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19882,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 34.39/23.04 tff(19883,plain,
% 34.39/23.04 (nextState(constB138, constB139)),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19882, 19881])).
% 34.39/23.04 tff(19884,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19885,plain,
% 34.39/23.04 (((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19886,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))))),
% 34.39/23.04 inference(monotonicity,[status(thm)],[19885])).
% 34.39/23.04 tff(19887,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 34.39/23.04 inference(transitivity,[status(thm)],[19886, 19884])).
% 34.39/23.04 tff(19888,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19889,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19888, 19887])).
% 34.39/23.04 tff(19890,plain,
% 34.39/23.04 (~v101(constB139)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19889, 381, 19883, 19880])).
% 34.39/23.04 tff(19891,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19892,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 34.39/23.04 inference(quant_inst,[status(thm)],[])).
% 34.39/23.04 tff(19893,plain,
% 34.39/23.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139))),
% 34.39/23.04 inference(modus_ponens,[status(thm)],[19892, 19891])).
% 34.39/23.04 tff(19894,plain,
% 34.39/23.04 (v101(constB139) | (~v100(constB139))),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19893, 398, 19883])).
% 34.39/23.04 tff(19895,plain,
% 34.39/23.04 (~v100(constB139)),
% 34.39/23.04 inference(unit_resolution,[status(thm)],[19894, 19890])).
% 34.39/23.04 tff(19896,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19897,plain,
% 34.39/23.04 (((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))) <=> (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 34.39/23.04 inference(rewrite,[status(thm)],[])).
% 34.39/23.04 tff(19898,plain,
% 34.39/23.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2))))),
% 34.39/23.05 inference(monotonicity,[status(thm)],[19897])).
% 34.39/23.05 tff(19899,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 34.39/23.05 inference(transitivity,[status(thm)],[19898, 19896])).
% 34.39/23.05 tff(19900,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19901,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19900, 19899])).
% 34.39/23.05 tff(19902,plain,
% 34.39/23.05 (v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19901, 413, 19883])).
% 34.39/23.05 tff(19903,plain,
% 34.39/23.05 (v90(constB138, bitIndex2) | (~v90(constB139, bitIndex2))),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19902, 19895])).
% 34.39/23.05 tff(19904,plain,
% 34.39/23.05 (~v90(constB139, bitIndex2)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19903, 19877])).
% 34.39/23.05 tff(19905,plain,
% 34.39/23.05 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB137)) | v130(constB137, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB137)) | v130(constB137, bitIndex0))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19906,plain,
% 34.39/23.05 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB137)) | v130(constB137, bitIndex0))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19907,plain,
% 34.39/23.05 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB137)) | v130(constB137, bitIndex0)),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19906, 19905])).
% 34.39/23.05 tff(19908,plain,
% 34.39/23.05 (v130(constB137, bitIndex0)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19907, 1445, 19774])).
% 34.39/23.05 tff(19909,plain,
% 34.39/23.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19910,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19911,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0)),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19910, 19909])).
% 34.39/23.05 tff(19912,plain,
% 34.39/23.05 (v26(constB137) | v127(constB137, bitIndex0)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19911, 855, 19908])).
% 34.39/23.05 tff(19913,plain,
% 34.39/23.05 (v127(constB137, bitIndex0)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19912, 124])).
% 34.39/23.05 tff(19914,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19915,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19916,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0)),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19915, 19914])).
% 34.39/23.05 tff(19917,plain,
% 34.39/23.05 ((~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19916, 870, 19789])).
% 34.39/23.05 tff(19918,plain,
% 34.39/23.05 (v129(constB138, bitIndex0)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19917, 19913])).
% 34.39/23.05 tff(19919,plain,
% 34.39/23.05 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19920,plain,
% 34.39/23.05 ((v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0))) <=> (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19921,plain,
% 34.39/23.05 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138))))),
% 34.39/23.05 inference(monotonicity,[status(thm)],[19920])).
% 34.39/23.05 tff(19922,plain,
% 34.39/23.05 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 34.39/23.05 inference(transitivity,[status(thm)],[19921, 19919])).
% 34.39/23.05 tff(19923,plain,
% 34.39/23.05 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19924,plain,
% 34.39/23.05 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138))),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19923, 19922])).
% 34.39/23.05 tff(19925,plain,
% 34.39/23.05 (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0))),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19924, 885, 19869])).
% 34.39/23.05 tff(19926,plain,
% 34.39/23.05 (v90(constB138, bitIndex0)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19925, 19918])).
% 34.39/23.05 tff(19927,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19928,plain,
% 34.39/23.05 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0)) <=> ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19929,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0)))),
% 34.39/23.05 inference(monotonicity,[status(thm)],[19928])).
% 34.39/23.05 tff(19930,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 34.39/23.05 inference(transitivity,[status(thm)],[19929, 19927])).
% 34.39/23.05 tff(19931,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19932,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0)),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19931, 19930])).
% 34.39/23.05 tff(19933,plain,
% 34.39/23.05 ((~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19932, 903, 19883])).
% 34.39/23.05 tff(19934,plain,
% 34.39/23.05 ((~v90(constB138, bitIndex0)) | v90(constB139, bitIndex0)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19933, 19895])).
% 34.39/23.05 tff(19935,plain,
% 34.39/23.05 (v90(constB139, bitIndex0)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19934, 19926])).
% 34.39/23.05 tff(19936,plain,
% 34.39/23.05 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB137)) | v130(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB137)) | v130(constB137, bitIndex1))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19937,plain,
% 34.39/23.05 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB137)) | v130(constB137, bitIndex1))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19938,plain,
% 34.39/23.05 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB137)) | v130(constB137, bitIndex1)),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19937, 19936])).
% 34.39/23.05 tff(19939,plain,
% 34.39/23.05 (v130(constB137, bitIndex1)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19938, 1404, 19774])).
% 34.39/23.05 tff(19940,plain,
% 34.39/23.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19941,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19942,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19941, 19940])).
% 34.39/23.05 tff(19943,plain,
% 34.39/23.05 (v26(constB137) | v127(constB137, bitIndex1)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19942, 1101, 19939])).
% 34.39/23.05 tff(19944,plain,
% 34.39/23.05 (v127(constB137, bitIndex1)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19943, 124])).
% 34.39/23.05 tff(19945,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19946,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19947,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19946, 19945])).
% 34.39/23.05 tff(19948,plain,
% 34.39/23.05 ((~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19947, 1116, 19789])).
% 34.39/23.05 tff(19949,plain,
% 34.39/23.05 (v129(constB138, bitIndex1)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19948, 19944])).
% 34.39/23.05 tff(19950,plain,
% 34.39/23.05 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19951,plain,
% 34.39/23.05 ((v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1))) <=> (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19952,plain,
% 34.39/23.05 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))))),
% 34.39/23.05 inference(monotonicity,[status(thm)],[19951])).
% 34.39/23.05 tff(19953,plain,
% 34.39/23.05 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 34.39/23.05 inference(transitivity,[status(thm)],[19952, 19950])).
% 34.39/23.05 tff(19954,plain,
% 34.39/23.05 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19955,plain,
% 34.39/23.05 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19954, 19953])).
% 34.39/23.05 tff(19956,plain,
% 34.39/23.05 (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1))),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19955, 1131, 19869])).
% 34.39/23.05 tff(19957,plain,
% 34.39/23.05 (v90(constB138, bitIndex1)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19956, 19949])).
% 34.39/23.05 tff(19958,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19959,plain,
% 34.39/23.05 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)) <=> ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19960,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1)))),
% 34.39/23.05 inference(monotonicity,[status(thm)],[19959])).
% 34.39/23.05 tff(19961,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 34.39/23.05 inference(transitivity,[status(thm)],[19960, 19958])).
% 34.39/23.05 tff(19962,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19963,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1)),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19962, 19961])).
% 34.39/23.05 tff(19964,plain,
% 34.39/23.05 ((~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19963, 1149, 19883])).
% 34.39/23.05 tff(19965,plain,
% 34.39/23.05 ((~v90(constB138, bitIndex1)) | v90(constB139, bitIndex1)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19964, 19895])).
% 34.39/23.05 tff(19966,plain,
% 34.39/23.05 (v90(constB139, bitIndex1)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19965, 19957])).
% 34.39/23.05 tff(19967,assumption,(~v122(constB139)), introduced(assumption)).
% 34.39/23.05 tff(19968,plain,
% 34.39/23.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19969,plain,
% 34.39/23.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19970,plain,
% 34.39/23.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139)),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19969, 19968])).
% 34.39/23.05 tff(19971,plain,
% 34.39/23.05 ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19970, 1486, 19967])).
% 34.39/23.05 tff(19972,plain,
% 34.39/23.05 ($false),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19971, 19966, 19935, 19904])).
% 34.39/23.05 tff(19973,plain,(v26(constB137) | v122(constB139)), inference(lemma,lemma(discharge,[]))).
% 34.39/23.05 tff(19974,plain,
% 34.39/23.05 (v122(constB139)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19973, 123])).
% 34.39/23.05 tff(19975,plain,
% 34.39/23.05 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB139) | (~v122(constB139)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB139) | (~v122(constB139)))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19976,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB139) | (~v122(constB139)))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19977,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB139) | (~v122(constB139))),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19976, 19975])).
% 34.39/23.05 tff(19978,plain,
% 34.39/23.05 (v116(constB139)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19977, 1497, 19974])).
% 34.39/23.05 tff(19979,plain,
% 34.39/23.05 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB139) | (~v116(constB139)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB139) | (~v116(constB139)))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19980,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB139) | (~v116(constB139)))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19981,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB139) | (~v116(constB139))),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19980, 19979])).
% 34.39/23.05 tff(19982,plain,
% 34.39/23.05 (v115(constB139)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19981, 520, 19978])).
% 34.39/23.05 tff(19983,plain,
% 34.39/23.05 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB139) | (~v115(constB139)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB139) | (~v115(constB139)))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19984,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB139) | (~v115(constB139)))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19985,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB139) | (~v115(constB139))),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19984, 19983])).
% 34.39/23.05 tff(19986,plain,
% 34.39/23.05 (v114(constB139)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19985, 531, 19982])).
% 34.39/23.05 tff(19987,plain,
% 34.39/23.05 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB139) | (~v114(constB139)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB139) | (~v114(constB139)))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19988,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB139) | (~v114(constB139)))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19989,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB139) | (~v114(constB139))),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19988, 19987])).
% 34.39/23.05 tff(19990,plain,
% 34.39/23.05 (v113(constB139)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19989, 542, 19986])).
% 34.39/23.05 tff(19991,assumption,(v26(constB139)), introduced(assumption)).
% 34.39/23.05 tff(19992,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB139))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(19993,plain,
% 34.39/23.05 ($false),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[19992, 120, 19991])).
% 34.39/23.05 tff(19994,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 34.39/23.05 tff(19995,plain,
% 34.39/23.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19996,plain,
% 34.39/23.05 ((v26(constB139) | (~v113(constB139)) | v112(constB139)) <=> (v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(19997,plain,
% 34.39/23.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139))))),
% 34.39/23.05 inference(monotonicity,[status(thm)],[19996])).
% 34.39/23.05 tff(19998,plain,
% 34.39/23.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 34.39/23.05 inference(transitivity,[status(thm)],[19997, 19995])).
% 34.39/23.05 tff(19999,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(20000,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139))),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[19999, 19998])).
% 34.39/23.05 tff(20001,plain,
% 34.39/23.05 (v112(constB139) | (~v113(constB139))),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[20000, 556, 19994])).
% 34.39/23.05 tff(20002,plain,
% 34.39/23.05 (v112(constB139)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[20001, 19990])).
% 34.39/23.05 tff(20003,plain,
% 34.39/23.05 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB139) | (~v112(constB139)))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(20004,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB139) | (~v112(constB139)))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(20005,plain,
% 34.39/23.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB139) | (~v112(constB139))),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[20004, 20003])).
% 34.39/23.05 tff(20006,plain,
% 34.39/23.05 (v108(constB139)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[20005, 568, 20002])).
% 34.39/23.05 tff(20007,plain,
% 34.39/23.05 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(20008,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 34.39/23.05 tff(20009,plain,
% 34.39/23.05 (nextState(constB139, constB140)),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[20008, 20007])).
% 34.39/23.05 tff(20010,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(20011,plain,
% 34.39/23.05 (((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140)) <=> ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(20012,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))))),
% 34.39/23.05 inference(monotonicity,[status(thm)],[20011])).
% 34.39/23.05 tff(20013,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 34.39/23.05 inference(transitivity,[status(thm)],[20012, 20010])).
% 34.39/23.05 tff(20014,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(20015,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[20014, 20013])).
% 34.39/23.05 tff(20016,plain,
% 34.39/23.05 (v110(constB140) | (~v108(constB139))),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[20015, 585, 20009])).
% 34.39/23.05 tff(20017,plain,
% 34.39/23.05 (v110(constB140)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[20016, 20006])).
% 34.39/23.05 tff(20018,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(20019,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(20020,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140))),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[20019, 20018])).
% 34.39/23.05 tff(20021,plain,
% 34.39/23.05 (~v104(constB140)),
% 34.39/23.05 inference(unit_resolution,[status(thm)],[20020, 603, 20009, 19880])).
% 34.39/23.05 tff(20022,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(20023,plain,
% 34.39/23.05 (((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140)) <=> ((~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))),
% 34.39/23.05 inference(rewrite,[status(thm)],[])).
% 34.39/23.05 tff(20024,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v102(constB140)))),
% 34.39/23.05 inference(monotonicity,[status(thm)],[20023])).
% 34.39/23.05 tff(20025,plain,
% 34.39/23.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))),
% 34.39/23.05 inference(transitivity,[status(thm)],[20024, 20022])).
% 34.39/23.05 tff(20026,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 34.39/23.05 inference(quant_inst,[status(thm)],[])).
% 34.39/23.05 tff(20027,plain,
% 34.39/23.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | v102(constB140)),
% 34.39/23.05 inference(modus_ponens,[status(thm)],[20026, 20025])).
% 34.39/23.05 tff(20028,plain,
% 34.39/23.05 (v104(constB140) | v102(constB140)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20027, 617, 20009])).
% 34.39/23.06 tff(20029,plain,
% 34.39/23.06 (v102(constB140)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20028, 20021])).
% 34.39/23.06 tff(20030,plain,
% 34.39/23.06 (v1(constB140) <=> v1(constB140)),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20031,axiom,(v1(constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 34.39/23.06 tff(20032,plain,
% 34.39/23.06 (v1(constB140)),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20031, 20030])).
% 34.39/23.06 tff(20033,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20034,plain,
% 34.39/23.06 (((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140))) <=> ((~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20035,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140))))),
% 34.39/23.06 inference(monotonicity,[status(thm)],[20034])).
% 34.39/23.06 tff(20036,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))),
% 34.39/23.06 inference(transitivity,[status(thm)],[20035, 20033])).
% 34.39/23.06 tff(20037,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 34.39/23.06 inference(quant_inst,[status(thm)],[])).
% 34.39/23.06 tff(20038,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140))),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20037, 20036])).
% 34.39/23.06 tff(20039,plain,
% 34.39/23.06 (v101(constB140) | (~v102(constB140))),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20038, 638, 20009, 20032])).
% 34.39/23.06 tff(20040,plain,
% 34.39/23.06 (v101(constB140)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20039, 20029])).
% 34.39/23.06 tff(20041,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20042,plain,
% 34.39/23.06 (((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140)) <=> ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20043,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))))),
% 34.39/23.06 inference(monotonicity,[status(thm)],[20042])).
% 34.39/23.06 tff(20044,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 34.39/23.06 inference(transitivity,[status(thm)],[20043, 20041])).
% 34.39/23.06 tff(20045,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))),
% 34.39/23.06 inference(quant_inst,[status(thm)],[])).
% 34.39/23.06 tff(20046,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20045, 20044])).
% 34.39/23.06 tff(20047,plain,
% 34.39/23.06 (v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20046, 656, 20009])).
% 34.39/23.06 tff(20048,plain,
% 34.39/23.06 (v100(constB140) | (~v110(constB140))),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20047, 20040])).
% 34.39/23.06 tff(20049,plain,
% 34.39/23.06 (v100(constB140)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20048, 20017])).
% 34.39/23.06 tff(20050,plain,
% 34.39/23.06 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB139)) | v130(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB139)) | v130(constB139, bitIndex2))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20051,plain,
% 34.39/23.06 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB139)) | v130(constB139, bitIndex2))),
% 34.39/23.06 inference(quant_inst,[status(thm)],[])).
% 34.39/23.06 tff(20052,plain,
% 34.39/23.06 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB139)) | v130(constB139, bitIndex2)),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20051, 20050])).
% 34.39/23.06 tff(20053,plain,
% 34.39/23.06 (v130(constB139, bitIndex2)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20052, 1578, 19974])).
% 34.39/23.06 tff(20054,plain,
% 34.39/23.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20055,plain,
% 34.39/23.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))),
% 34.39/23.06 inference(quant_inst,[status(thm)],[])).
% 34.39/23.06 tff(20056,plain,
% 34.39/23.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2)),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20055, 20054])).
% 34.39/23.06 tff(20057,plain,
% 34.39/23.06 ((~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20056, 1592, 19994])).
% 34.39/23.06 tff(20058,plain,
% 34.39/23.06 (v127(constB139, bitIndex2)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20057, 20053])).
% 34.39/23.06 tff(20059,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20060,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))),
% 34.39/23.06 inference(quant_inst,[status(thm)],[])).
% 34.39/23.06 tff(20061,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2)),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20060, 20059])).
% 34.39/23.06 tff(20062,plain,
% 34.39/23.06 ((~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20061, 1607, 20009])).
% 34.39/23.06 tff(20063,plain,
% 34.39/23.06 (v129(constB140, bitIndex2)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20062, 20058])).
% 34.39/23.06 tff(20064,plain,
% 34.39/23.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20065,plain,
% 34.39/23.06 ((v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2))) <=> (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20066,plain,
% 34.39/23.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140))))),
% 34.39/23.06 inference(monotonicity,[status(thm)],[20065])).
% 34.39/23.06 tff(20067,plain,
% 34.39/23.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 34.39/23.06 inference(transitivity,[status(thm)],[20066, 20064])).
% 34.39/23.06 tff(20068,plain,
% 34.39/23.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))),
% 34.39/23.06 inference(quant_inst,[status(thm)],[])).
% 34.39/23.06 tff(20069,plain,
% 34.39/23.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140))),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20068, 20067])).
% 34.39/23.06 tff(20070,plain,
% 34.39/23.06 (v90(constB140, bitIndex2) | (~v100(constB140))),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20069, 1622, 20063])).
% 34.39/23.06 tff(20071,plain,
% 34.39/23.06 (v90(constB140, bitIndex2)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20070, 20049])).
% 34.39/23.06 tff(20072,plain,
% 34.39/23.06 ((~v1(constB141)) <=> (~v1(constB141))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20073,axiom,(~v1(constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 34.39/23.06 tff(20074,plain,
% 34.39/23.06 (~v1(constB141)),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20073, 20072])).
% 34.39/23.06 tff(20075,plain,
% 34.39/23.06 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20076,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 34.39/23.06 tff(20077,plain,
% 34.39/23.06 (nextState(constB140, constB141)),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20076, 20075])).
% 34.39/23.06 tff(20078,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20079,plain,
% 34.39/23.06 (((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20080,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))))),
% 34.39/23.06 inference(monotonicity,[status(thm)],[20079])).
% 34.39/23.06 tff(20081,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 34.39/23.06 inference(transitivity,[status(thm)],[20080, 20078])).
% 34.39/23.06 tff(20082,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))),
% 34.39/23.06 inference(quant_inst,[status(thm)],[])).
% 34.39/23.06 tff(20083,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20082, 20081])).
% 34.39/23.06 tff(20084,plain,
% 34.39/23.06 (~v101(constB141)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20083, 381, 20077, 20074])).
% 34.39/23.06 tff(20085,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20086,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 34.39/23.06 inference(quant_inst,[status(thm)],[])).
% 34.39/23.06 tff(20087,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141))),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20086, 20085])).
% 34.39/23.06 tff(20088,plain,
% 34.39/23.06 (v101(constB141) | (~v100(constB141))),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20087, 398, 20077])).
% 34.39/23.06 tff(20089,plain,
% 34.39/23.06 (~v100(constB141)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20088, 20084])).
% 34.39/23.06 tff(20090,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20091,plain,
% 34.39/23.06 (((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2)) <=> ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20092,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2)))),
% 34.39/23.06 inference(monotonicity,[status(thm)],[20091])).
% 34.39/23.06 tff(20093,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 34.39/23.06 inference(transitivity,[status(thm)],[20092, 20090])).
% 34.39/23.06 tff(20094,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2))),
% 34.39/23.06 inference(quant_inst,[status(thm)],[])).
% 34.39/23.06 tff(20095,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2)),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20094, 20093])).
% 34.39/23.06 tff(20096,plain,
% 34.39/23.06 ((~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20095, 1658, 20077])).
% 34.39/23.06 tff(20097,plain,
% 34.39/23.06 ((~v90(constB140, bitIndex2)) | v90(constB141, bitIndex2)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20096, 20089])).
% 34.39/23.06 tff(20098,plain,
% 34.39/23.06 (v90(constB141, bitIndex2)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20097, 20071])).
% 34.39/23.06 tff(20099,plain,
% 34.39/23.06 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB139)) | (~v130(constB139, bitIndex1)))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20100,plain,
% 34.39/23.06 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex1)))),
% 34.39/23.06 inference(quant_inst,[status(thm)],[])).
% 34.39/23.06 tff(20101,plain,
% 34.39/23.06 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB139)) | (~v130(constB139, bitIndex1))),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20100, 20099])).
% 34.39/23.06 tff(20102,plain,
% 34.39/23.06 (~v130(constB139, bitIndex1)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20101, 1677, 19974])).
% 34.39/23.06 tff(20103,plain,
% 34.39/23.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20104,plain,
% 34.39/23.06 ((v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1))) <=> ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20105,plain,
% 34.39/23.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1)))),
% 34.39/23.06 inference(monotonicity,[status(thm)],[20104])).
% 34.39/23.06 tff(20106,plain,
% 34.39/23.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 34.39/23.06 inference(transitivity,[status(thm)],[20105, 20103])).
% 34.39/23.06 tff(20107,plain,
% 34.39/23.06 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))),
% 34.39/23.06 inference(quant_inst,[status(thm)],[])).
% 34.39/23.06 tff(20108,plain,
% 34.39/23.06 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1)),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20107, 20106])).
% 34.39/23.06 tff(20109,plain,
% 34.39/23.06 ((~v127(constB139, bitIndex1)) | v130(constB139, bitIndex1)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20108, 781, 19994])).
% 34.39/23.06 tff(20110,plain,
% 34.39/23.06 (~v127(constB139, bitIndex1)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20109, 20102])).
% 34.39/23.06 tff(20111,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20112,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))),
% 34.39/23.06 inference(quant_inst,[status(thm)],[])).
% 34.39/23.06 tff(20113,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1))),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20112, 20111])).
% 34.39/23.06 tff(20114,plain,
% 34.39/23.06 (v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1))),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20113, 799, 20009])).
% 34.39/23.06 tff(20115,plain,
% 34.39/23.06 (~v129(constB140, bitIndex1)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20114, 20110])).
% 34.39/23.06 tff(20116,plain,
% 34.39/23.06 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20117,plain,
% 34.39/23.06 (((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1)) <=> ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20118,plain,
% 34.39/23.06 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140))))),
% 34.39/23.06 inference(monotonicity,[status(thm)],[20117])).
% 34.39/23.06 tff(20119,plain,
% 34.39/23.06 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 34.39/23.06 inference(transitivity,[status(thm)],[20118, 20116])).
% 34.39/23.06 tff(20120,plain,
% 34.39/23.06 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))),
% 34.39/23.06 inference(quant_inst,[status(thm)],[])).
% 34.39/23.06 tff(20121,plain,
% 34.39/23.06 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140))),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20120, 20119])).
% 34.39/23.06 tff(20122,plain,
% 34.39/23.06 ((~v90(constB140, bitIndex1)) | (~v100(constB140))),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20121, 814, 20115])).
% 34.39/23.06 tff(20123,plain,
% 34.39/23.06 (~v90(constB140, bitIndex1)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20122, 20049])).
% 34.39/23.06 tff(20124,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20125,plain,
% 34.39/23.06 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1))) <=> (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 34.39/23.06 inference(rewrite,[status(thm)],[])).
% 34.39/23.06 tff(20126,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1))))),
% 34.39/23.06 inference(monotonicity,[status(thm)],[20125])).
% 34.39/23.06 tff(20127,plain,
% 34.39/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 34.39/23.06 inference(transitivity,[status(thm)],[20126, 20124])).
% 34.39/23.06 tff(20128,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 34.39/23.06 inference(quant_inst,[status(thm)],[])).
% 34.39/23.06 tff(20129,plain,
% 34.39/23.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1))),
% 34.39/23.06 inference(modus_ponens,[status(thm)],[20128, 20127])).
% 34.39/23.06 tff(20130,plain,
% 34.39/23.06 (v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1))),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20129, 434, 20077])).
% 34.39/23.06 tff(20131,plain,
% 34.39/23.06 (v90(constB140, bitIndex1) | (~v90(constB141, bitIndex1))),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20130, 20089])).
% 34.39/23.06 tff(20132,plain,
% 34.39/23.06 (~v90(constB141, bitIndex1)),
% 34.39/23.06 inference(unit_resolution,[status(thm)],[20131, 20123])).
% 34.39/23.06 tff(20133,plain,
% 34.39/23.06 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB139)) | (~v130(constB139, bitIndex0)))),
% 34.47/23.06 inference(rewrite,[status(thm)],[])).
% 34.47/23.06 tff(20134,plain,
% 34.47/23.06 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex0)))),
% 34.47/23.06 inference(quant_inst,[status(thm)],[])).
% 34.47/23.06 tff(20135,plain,
% 34.47/23.06 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB139)) | (~v130(constB139, bitIndex0))),
% 34.47/23.06 inference(modus_ponens,[status(thm)],[20134, 20133])).
% 34.47/23.06 tff(20136,plain,
% 34.47/23.06 (~v130(constB139, bitIndex0)),
% 34.47/23.06 inference(unit_resolution,[status(thm)],[20135, 1721, 19974])).
% 34.47/23.06 tff(20137,plain,
% 34.47/23.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 34.47/23.06 inference(rewrite,[status(thm)],[])).
% 34.47/23.06 tff(20138,plain,
% 34.47/23.06 ((v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0))) <=> ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 34.47/23.06 inference(rewrite,[status(thm)],[])).
% 34.47/23.06 tff(20139,plain,
% 34.47/23.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0)))),
% 34.47/23.06 inference(monotonicity,[status(thm)],[20138])).
% 34.47/23.06 tff(20140,plain,
% 34.47/23.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 34.47/23.06 inference(transitivity,[status(thm)],[20139, 20137])).
% 34.47/23.06 tff(20141,plain,
% 34.47/23.06 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))),
% 34.47/23.06 inference(quant_inst,[status(thm)],[])).
% 34.47/23.06 tff(20142,plain,
% 34.47/23.06 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0)),
% 34.47/23.06 inference(modus_ponens,[status(thm)],[20141, 20140])).
% 34.47/23.06 tff(20143,plain,
% 34.47/23.06 ((~v127(constB139, bitIndex0)) | v130(constB139, bitIndex0)),
% 34.47/23.06 inference(unit_resolution,[status(thm)],[20142, 1182, 19994])).
% 34.47/23.06 tff(20144,plain,
% 34.47/23.06 (~v127(constB139, bitIndex0)),
% 34.47/23.06 inference(unit_resolution,[status(thm)],[20143, 20136])).
% 34.47/23.06 tff(20145,plain,
% 34.47/23.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20146,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20147,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0))),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20146, 20145])).
% 34.47/23.07 tff(20148,plain,
% 34.47/23.07 (v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0))),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20147, 1200, 20009])).
% 34.47/23.07 tff(20149,plain,
% 34.47/23.07 (~v129(constB140, bitIndex0)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20148, 20144])).
% 34.47/23.07 tff(20150,plain,
% 34.47/23.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20151,plain,
% 34.47/23.07 (((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0)) <=> ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20152,plain,
% 34.47/23.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140))))),
% 34.47/23.07 inference(monotonicity,[status(thm)],[20151])).
% 34.47/23.07 tff(20153,plain,
% 34.47/23.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 34.47/23.07 inference(transitivity,[status(thm)],[20152, 20150])).
% 34.47/23.07 tff(20154,plain,
% 34.47/23.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20155,plain,
% 34.47/23.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140))),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20154, 20153])).
% 34.47/23.07 tff(20156,plain,
% 34.47/23.07 ((~v90(constB140, bitIndex0)) | (~v100(constB140))),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20155, 1215, 20149])).
% 34.47/23.07 tff(20157,plain,
% 34.47/23.07 (~v90(constB140, bitIndex0)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20156, 20049])).
% 34.47/23.07 tff(20158,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20159,plain,
% 34.47/23.07 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0))) <=> (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20160,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0))))),
% 34.47/23.07 inference(monotonicity,[status(thm)],[20159])).
% 34.47/23.07 tff(20161,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 34.47/23.07 inference(transitivity,[status(thm)],[20160, 20158])).
% 34.47/23.07 tff(20162,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20163,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0))),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20162, 20161])).
% 34.47/23.07 tff(20164,plain,
% 34.47/23.07 (v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0))),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20163, 455, 20077])).
% 34.47/23.07 tff(20165,plain,
% 34.47/23.07 (v90(constB140, bitIndex0) | (~v90(constB141, bitIndex0))),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20164, 20089])).
% 34.47/23.07 tff(20166,plain,
% 34.47/23.07 (~v90(constB141, bitIndex0)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20165, 20157])).
% 34.47/23.07 tff(20167,plain,
% 34.47/23.07 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20168,plain,
% 34.47/23.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20169,plain,
% 34.47/23.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141)),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20168, 20167])).
% 34.47/23.07 tff(20170,plain,
% 34.47/23.07 (v123(constB141)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20169, 1765, 20166, 20132, 20098])).
% 34.47/23.07 tff(20171,plain,
% 34.47/23.07 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB141) | (~v123(constB141)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB141) | (~v123(constB141)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20172,plain,
% 34.47/23.07 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB141) | (~v123(constB141)))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20173,plain,
% 34.47/23.07 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB141) | (~v123(constB141))),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20172, 20171])).
% 34.47/23.07 tff(20174,plain,
% 34.47/23.07 (v115(constB141)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20173, 1776, 20170])).
% 34.47/23.07 tff(20175,plain,
% 34.47/23.07 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB141) | (~v115(constB141)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB141) | (~v115(constB141)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20176,plain,
% 34.47/23.07 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB141) | (~v115(constB141)))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20177,plain,
% 34.47/23.07 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB141) | (~v115(constB141))),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20176, 20175])).
% 34.47/23.07 tff(20178,plain,
% 34.47/23.07 (v114(constB141)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20177, 531, 20174])).
% 34.47/23.07 tff(20179,plain,
% 34.47/23.07 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB141) | (~v114(constB141)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB141) | (~v114(constB141)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20180,plain,
% 34.47/23.07 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB141) | (~v114(constB141)))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20181,plain,
% 34.47/23.07 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB141) | (~v114(constB141))),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20180, 20179])).
% 34.47/23.07 tff(20182,plain,
% 34.47/23.07 (v113(constB141)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20181, 542, 20178])).
% 34.47/23.07 tff(20183,assumption,(v26(constB141)), introduced(assumption)).
% 34.47/23.07 tff(20184,plain,
% 34.47/23.07 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB141))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20185,plain,
% 34.47/23.07 ($false),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20184, 120, 20183])).
% 34.47/23.07 tff(20186,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 34.47/23.07 tff(20187,plain,
% 34.47/23.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | v112(constB141) | (~v113(constB141)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20188,plain,
% 34.47/23.07 ((v26(constB141) | (~v113(constB141)) | v112(constB141)) <=> (v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20189,plain,
% 34.47/23.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | v112(constB141) | (~v113(constB141))))),
% 34.47/23.07 inference(monotonicity,[status(thm)],[20188])).
% 34.47/23.07 tff(20190,plain,
% 34.47/23.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 34.47/23.07 inference(transitivity,[status(thm)],[20189, 20187])).
% 34.47/23.07 tff(20191,plain,
% 34.47/23.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20192,plain,
% 34.47/23.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141))),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20191, 20190])).
% 34.47/23.07 tff(20193,plain,
% 34.47/23.07 (v112(constB141) | (~v113(constB141))),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20192, 556, 20186])).
% 34.47/23.07 tff(20194,plain,
% 34.47/23.07 (v112(constB141)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20193, 20182])).
% 34.47/23.07 tff(20195,plain,
% 34.47/23.07 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB141) | (~v112(constB141)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20196,plain,
% 34.47/23.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB141) | (~v112(constB141)))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20197,plain,
% 34.47/23.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB141) | (~v112(constB141))),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20196, 20195])).
% 34.47/23.07 tff(20198,plain,
% 34.47/23.07 (v108(constB141)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20197, 568, 20194])).
% 34.47/23.07 tff(20199,plain,
% 34.47/23.07 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20200,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 34.47/23.07 tff(20201,plain,
% 34.47/23.07 (nextState(constB141, constB142)),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20200, 20199])).
% 34.47/23.07 tff(20202,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20203,plain,
% 34.47/23.07 (((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142)) <=> ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20204,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))))),
% 34.47/23.07 inference(monotonicity,[status(thm)],[20203])).
% 34.47/23.07 tff(20205,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 34.47/23.07 inference(transitivity,[status(thm)],[20204, 20202])).
% 34.47/23.07 tff(20206,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20207,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20206, 20205])).
% 34.47/23.07 tff(20208,plain,
% 34.47/23.07 (v110(constB142) | (~v108(constB141))),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20207, 585, 20201])).
% 34.47/23.07 tff(20209,plain,
% 34.47/23.07 (v110(constB142)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20208, 20198])).
% 34.47/23.07 tff(20210,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20211,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20212,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142))),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20211, 20210])).
% 34.47/23.07 tff(20213,plain,
% 34.47/23.07 (~v104(constB142)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20212, 603, 20201, 20074])).
% 34.47/23.07 tff(20214,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20215,plain,
% 34.47/23.07 (((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142)) <=> ((~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20216,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | v102(constB142)))),
% 34.47/23.07 inference(monotonicity,[status(thm)],[20215])).
% 34.47/23.07 tff(20217,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))),
% 34.47/23.07 inference(transitivity,[status(thm)],[20216, 20214])).
% 34.47/23.07 tff(20218,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20219,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | v102(constB142)),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20218, 20217])).
% 34.47/23.07 tff(20220,plain,
% 34.47/23.07 (v104(constB142) | v102(constB142)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20219, 617, 20201])).
% 34.47/23.07 tff(20221,plain,
% 34.47/23.07 (v102(constB142)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20220, 20213])).
% 34.47/23.07 tff(20222,plain,
% 34.47/23.07 (v1(constB142) <=> v1(constB142)),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20223,axiom,(v1(constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 34.47/23.07 tff(20224,plain,
% 34.47/23.07 (v1(constB142)),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20223, 20222])).
% 34.47/23.07 tff(20225,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20226,plain,
% 34.47/23.07 (((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142))) <=> ((~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20227,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142))))),
% 34.47/23.07 inference(monotonicity,[status(thm)],[20226])).
% 34.47/23.07 tff(20228,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))),
% 34.47/23.07 inference(transitivity,[status(thm)],[20227, 20225])).
% 34.47/23.07 tff(20229,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20230,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142))),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20229, 20228])).
% 34.47/23.07 tff(20231,plain,
% 34.47/23.07 (v101(constB142) | (~v102(constB142))),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20230, 638, 20201, 20224])).
% 34.47/23.07 tff(20232,plain,
% 34.47/23.07 (v101(constB142)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20231, 20221])).
% 34.47/23.07 tff(20233,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20234,plain,
% 34.47/23.07 (((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142)) <=> ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20235,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))))),
% 34.47/23.07 inference(monotonicity,[status(thm)],[20234])).
% 34.47/23.07 tff(20236,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 34.47/23.07 inference(transitivity,[status(thm)],[20235, 20233])).
% 34.47/23.07 tff(20237,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20238,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20237, 20236])).
% 34.47/23.07 tff(20239,plain,
% 34.47/23.07 (v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20238, 656, 20201])).
% 34.47/23.07 tff(20240,plain,
% 34.47/23.07 (v100(constB142) | (~v110(constB142))),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20239, 20232])).
% 34.47/23.07 tff(20241,plain,
% 34.47/23.07 (v100(constB142)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20240, 20209])).
% 34.47/23.07 tff(20242,plain,
% 34.47/23.07 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB141)) | v130(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB141)) | v130(constB141, bitIndex2))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20243,plain,
% 34.47/23.07 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB141)) | v130(constB141, bitIndex2))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20244,plain,
% 34.47/23.07 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB141)) | v130(constB141, bitIndex2)),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20243, 20242])).
% 34.47/23.07 tff(20245,plain,
% 34.47/23.07 (v130(constB141, bitIndex2)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20244, 1850, 20170])).
% 34.47/23.07 tff(20246,plain,
% 34.47/23.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20247,plain,
% 34.47/23.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20248,plain,
% 34.47/23.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20247, 20246])).
% 34.47/23.07 tff(20249,plain,
% 34.47/23.07 ((~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20248, 1592, 20186])).
% 34.47/23.07 tff(20250,plain,
% 34.47/23.07 (v127(constB141, bitIndex2)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20249, 20245])).
% 34.47/23.07 tff(20251,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20252,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20253,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20252, 20251])).
% 34.47/23.07 tff(20254,plain,
% 34.47/23.07 ((~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20253, 1607, 20201])).
% 34.47/23.07 tff(20255,plain,
% 34.47/23.07 (v129(constB142, bitIndex2)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20254, 20250])).
% 34.47/23.07 tff(20256,plain,
% 34.47/23.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20257,plain,
% 34.47/23.07 ((v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2))) <=> (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20258,plain,
% 34.47/23.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))))),
% 34.47/23.07 inference(monotonicity,[status(thm)],[20257])).
% 34.47/23.07 tff(20259,plain,
% 34.47/23.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 34.47/23.07 inference(transitivity,[status(thm)],[20258, 20256])).
% 34.47/23.07 tff(20260,plain,
% 34.47/23.07 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20261,plain,
% 34.47/23.07 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20260, 20259])).
% 34.47/23.07 tff(20262,plain,
% 34.47/23.07 (v90(constB142, bitIndex2) | (~v100(constB142))),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20261, 1622, 20255])).
% 34.47/23.07 tff(20263,plain,
% 34.47/23.07 (v90(constB142, bitIndex2)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20262, 20241])).
% 34.47/23.07 tff(20264,plain,
% 34.47/23.07 ((~v1(constB143)) <=> (~v1(constB143))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20265,axiom,(~v1(constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 34.47/23.07 tff(20266,plain,
% 34.47/23.07 (~v1(constB143)),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20265, 20264])).
% 34.47/23.07 tff(20267,plain,
% 34.47/23.07 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20268,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 34.47/23.07 tff(20269,plain,
% 34.47/23.07 (nextState(constB142, constB143)),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20268, 20267])).
% 34.47/23.07 tff(20270,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20271,plain,
% 34.47/23.07 (((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20272,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))))),
% 34.47/23.07 inference(monotonicity,[status(thm)],[20271])).
% 34.47/23.07 tff(20273,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 34.47/23.07 inference(transitivity,[status(thm)],[20272, 20270])).
% 34.47/23.07 tff(20274,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))),
% 34.47/23.07 inference(quant_inst,[status(thm)],[])).
% 34.47/23.07 tff(20275,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))),
% 34.47/23.07 inference(modus_ponens,[status(thm)],[20274, 20273])).
% 34.47/23.07 tff(20276,plain,
% 34.47/23.07 (~v101(constB143)),
% 34.47/23.07 inference(unit_resolution,[status(thm)],[20275, 381, 20269, 20266])).
% 34.47/23.07 tff(20277,plain,
% 34.47/23.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 34.47/23.07 inference(rewrite,[status(thm)],[])).
% 34.47/23.07 tff(20278,plain,
% 34.47/23.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 34.47/23.08 inference(quant_inst,[status(thm)],[])).
% 34.47/23.08 tff(20279,plain,
% 34.47/23.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143))),
% 34.47/23.08 inference(modus_ponens,[status(thm)],[20278, 20277])).
% 34.47/23.08 tff(20280,plain,
% 34.47/23.08 (v101(constB143) | (~v100(constB143))),
% 34.47/23.08 inference(unit_resolution,[status(thm)],[20279, 398, 20269])).
% 34.47/23.08 tff(20281,plain,
% 34.47/23.08 (~v100(constB143)),
% 34.47/23.08 inference(unit_resolution,[status(thm)],[20280, 20276])).
% 34.47/23.08 tff(20282,plain,
% 34.47/23.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 34.47/23.08 inference(rewrite,[status(thm)],[])).
% 34.47/23.08 tff(20283,plain,
% 34.47/23.08 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)) <=> ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 34.47/23.08 inference(rewrite,[status(thm)],[])).
% 34.47/23.08 tff(20284,plain,
% 34.47/23.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2)))),
% 34.47/23.08 inference(monotonicity,[status(thm)],[20283])).
% 34.47/23.08 tff(20285,plain,
% 34.47/23.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 34.47/23.08 inference(transitivity,[status(thm)],[20284, 20282])).
% 34.47/23.08 tff(20286,plain,
% 34.47/23.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))),
% 34.47/23.08 inference(quant_inst,[status(thm)],[])).
% 34.47/23.08 tff(20287,plain,
% 34.47/23.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2)),
% 34.47/23.08 inference(modus_ponens,[status(thm)],[20286, 20285])).
% 34.47/23.08 tff(20288,plain,
% 34.47/23.08 ((~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)),
% 34.47/23.08 inference(unit_resolution,[status(thm)],[20287, 1658, 20269])).
% 34.47/23.08 tff(20289,plain,
% 34.47/23.08 ((~v90(constB142, bitIndex2)) | v90(constB143, bitIndex2)),
% 34.47/23.08 inference(unit_resolution,[status(thm)],[20288, 20281])).
% 34.47/23.08 tff(20290,plain,
% 34.47/23.08 (v90(constB143, bitIndex2)),
% 34.47/23.08 inference(unit_resolution,[status(thm)],[20289, 20263])).
% 34.47/23.08 tff(20291,plain,
% 34.47/23.08 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB141)) | (~v130(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB141)) | (~v130(constB141, bitIndex1)))),
% 34.47/23.08 inference(rewrite,[status(thm)],[])).
% 34.47/23.08 tff(20292,plain,
% 34.47/23.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB141)) | (~v130(constB141, bitIndex1)))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20293,plain,
% 34.49/23.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB141)) | (~v130(constB141, bitIndex1))),
% 34.49/23.08 inference(modus_ponens,[status(thm)],[20292, 20291])).
% 34.49/23.08 tff(20294,plain,
% 34.49/23.08 (~v130(constB141, bitIndex1)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20293, 1909, 20170])).
% 34.49/23.08 tff(20295,plain,
% 34.49/23.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20296,plain,
% 34.49/23.08 ((v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1))) <=> ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20297,plain,
% 34.49/23.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)))),
% 34.49/23.08 inference(monotonicity,[status(thm)],[20296])).
% 34.49/23.08 tff(20298,plain,
% 34.49/23.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 34.49/23.08 inference(transitivity,[status(thm)],[20297, 20295])).
% 34.49/23.08 tff(20299,plain,
% 34.49/23.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20300,plain,
% 34.49/23.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)),
% 34.49/23.08 inference(modus_ponens,[status(thm)],[20299, 20298])).
% 34.49/23.08 tff(20301,plain,
% 34.49/23.08 ((~v127(constB141, bitIndex1)) | v130(constB141, bitIndex1)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20300, 781, 20186])).
% 34.49/23.08 tff(20302,plain,
% 34.49/23.08 (~v127(constB141, bitIndex1)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20301, 20294])).
% 34.49/23.08 tff(20303,plain,
% 34.49/23.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20304,plain,
% 34.49/23.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20305,plain,
% 34.49/23.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 34.49/23.08 inference(modus_ponens,[status(thm)],[20304, 20303])).
% 34.49/23.08 tff(20306,plain,
% 34.49/23.08 (v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20305, 799, 20201])).
% 34.49/23.08 tff(20307,plain,
% 34.49/23.08 (~v129(constB142, bitIndex1)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20306, 20302])).
% 34.49/23.08 tff(20308,plain,
% 34.49/23.08 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20309,plain,
% 34.49/23.08 (((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1)) <=> ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20310,plain,
% 34.49/23.08 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))))),
% 34.49/23.08 inference(monotonicity,[status(thm)],[20309])).
% 34.49/23.08 tff(20311,plain,
% 34.49/23.08 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 34.49/23.08 inference(transitivity,[status(thm)],[20310, 20308])).
% 34.49/23.08 tff(20312,plain,
% 34.49/23.08 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20313,plain,
% 34.49/23.08 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))),
% 34.49/23.08 inference(modus_ponens,[status(thm)],[20312, 20311])).
% 34.49/23.08 tff(20314,plain,
% 34.49/23.08 ((~v90(constB142, bitIndex1)) | (~v100(constB142))),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20313, 814, 20307])).
% 34.49/23.08 tff(20315,plain,
% 34.49/23.08 (~v90(constB142, bitIndex1)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20314, 20241])).
% 34.49/23.08 tff(20316,plain,
% 34.49/23.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20317,plain,
% 34.49/23.08 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))) <=> (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20318,plain,
% 34.49/23.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1))))),
% 34.49/23.08 inference(monotonicity,[status(thm)],[20317])).
% 34.49/23.08 tff(20319,plain,
% 34.49/23.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 34.49/23.08 inference(transitivity,[status(thm)],[20318, 20316])).
% 34.49/23.08 tff(20320,plain,
% 34.49/23.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20321,plain,
% 34.49/23.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 34.49/23.08 inference(modus_ponens,[status(thm)],[20320, 20319])).
% 34.49/23.08 tff(20322,plain,
% 34.49/23.08 (v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20321, 434, 20269])).
% 34.49/23.08 tff(20323,plain,
% 34.49/23.08 (v90(constB142, bitIndex1) | (~v90(constB143, bitIndex1))),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20322, 20281])).
% 34.49/23.08 tff(20324,plain,
% 34.49/23.08 (~v90(constB143, bitIndex1)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20323, 20315])).
% 34.49/23.08 tff(20325,plain,
% 34.49/23.08 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB141)) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB141)) | v130(constB141, bitIndex0))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20326,plain,
% 34.49/23.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB141)) | v130(constB141, bitIndex0))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20327,plain,
% 34.49/23.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB141)) | v130(constB141, bitIndex0)),
% 34.49/23.08 inference(modus_ponens,[status(thm)],[20326, 20325])).
% 34.49/23.08 tff(20328,plain,
% 34.49/23.08 (v130(constB141, bitIndex0)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20327, 1953, 20170])).
% 34.49/23.08 tff(20329,plain,
% 34.49/23.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20330,plain,
% 34.49/23.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20331,plain,
% 34.49/23.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0)),
% 34.49/23.08 inference(modus_ponens,[status(thm)],[20330, 20329])).
% 34.49/23.08 tff(20332,plain,
% 34.49/23.08 ((~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20331, 855, 20186])).
% 34.49/23.08 tff(20333,plain,
% 34.49/23.08 (v127(constB141, bitIndex0)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20332, 20328])).
% 34.49/23.08 tff(20334,plain,
% 34.49/23.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20335,plain,
% 34.49/23.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20336,plain,
% 34.49/23.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0)),
% 34.49/23.08 inference(modus_ponens,[status(thm)],[20335, 20334])).
% 34.49/23.08 tff(20337,plain,
% 34.49/23.08 ((~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20336, 870, 20201])).
% 34.49/23.08 tff(20338,plain,
% 34.49/23.08 (v129(constB142, bitIndex0)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20337, 20333])).
% 34.49/23.08 tff(20339,plain,
% 34.49/23.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20340,plain,
% 34.49/23.08 ((v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0))) <=> (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20341,plain,
% 34.49/23.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142))))),
% 34.49/23.08 inference(monotonicity,[status(thm)],[20340])).
% 34.49/23.08 tff(20342,plain,
% 34.49/23.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 34.49/23.08 inference(transitivity,[status(thm)],[20341, 20339])).
% 34.49/23.08 tff(20343,plain,
% 34.49/23.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20344,plain,
% 34.49/23.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142))),
% 34.49/23.08 inference(modus_ponens,[status(thm)],[20343, 20342])).
% 34.49/23.08 tff(20345,plain,
% 34.49/23.08 (v90(constB142, bitIndex0) | (~v100(constB142))),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20344, 885, 20338])).
% 34.49/23.08 tff(20346,plain,
% 34.49/23.08 (v90(constB142, bitIndex0)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20345, 20241])).
% 34.49/23.08 tff(20347,plain,
% 34.49/23.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20348,plain,
% 34.49/23.08 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0)) <=> ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20349,plain,
% 34.49/23.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0)))),
% 34.49/23.08 inference(monotonicity,[status(thm)],[20348])).
% 34.49/23.08 tff(20350,plain,
% 34.49/23.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 34.49/23.08 inference(transitivity,[status(thm)],[20349, 20347])).
% 34.49/23.08 tff(20351,plain,
% 34.49/23.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20352,plain,
% 34.49/23.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0)),
% 34.49/23.08 inference(modus_ponens,[status(thm)],[20351, 20350])).
% 34.49/23.08 tff(20353,plain,
% 34.49/23.08 ((~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20352, 903, 20269])).
% 34.49/23.08 tff(20354,plain,
% 34.49/23.08 ((~v90(constB142, bitIndex0)) | v90(constB143, bitIndex0)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20353, 20281])).
% 34.49/23.08 tff(20355,plain,
% 34.49/23.08 (v90(constB143, bitIndex0)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20354, 20346])).
% 34.49/23.08 tff(20356,plain,
% 34.49/23.08 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20357,plain,
% 34.49/23.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20358,plain,
% 34.49/23.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143)),
% 34.49/23.08 inference(modus_ponens,[status(thm)],[20357, 20356])).
% 34.49/23.08 tff(20359,plain,
% 34.49/23.08 (v124(constB143)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20358, 1994, 20355, 20324, 20290])).
% 34.49/23.08 tff(20360,plain,
% 34.49/23.08 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB143)) | v130(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB143)) | v130(constB143, bitIndex1))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20361,plain,
% 34.49/23.08 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB143)) | v130(constB143, bitIndex1))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20362,plain,
% 34.49/23.08 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB143)) | v130(constB143, bitIndex1)),
% 34.49/23.08 inference(modus_ponens,[status(thm)],[20361, 20360])).
% 34.49/23.08 tff(20363,plain,
% 34.49/23.08 (v130(constB143, bitIndex1)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20362, 2145, 20359])).
% 34.49/23.08 tff(20364,assumption,(v26(constB143)), introduced(assumption)).
% 34.49/23.08 tff(20365,plain,
% 34.49/23.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB143))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20366,plain,
% 34.49/23.08 ($false),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20365, 120, 20364])).
% 34.49/23.08 tff(20367,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 34.49/23.08 tff(20368,plain,
% 34.49/23.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20369,plain,
% 34.49/23.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20370,plain,
% 34.49/23.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 34.49/23.08 inference(modus_ponens,[status(thm)],[20369, 20368])).
% 34.49/23.08 tff(20371,plain,
% 34.49/23.08 ((~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20370, 1101, 20367])).
% 34.49/23.08 tff(20372,plain,
% 34.49/23.08 (v127(constB143, bitIndex1)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20371, 20363])).
% 34.49/23.08 tff(20373,plain,
% 34.49/23.08 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20374,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 34.49/23.08 tff(20375,plain,
% 34.49/23.08 (nextState(constB143, constB144)),
% 34.49/23.08 inference(modus_ponens,[status(thm)],[20374, 20373])).
% 34.49/23.08 tff(20376,plain,
% 34.49/23.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20377,plain,
% 34.49/23.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20378,plain,
% 34.49/23.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 34.49/23.08 inference(modus_ponens,[status(thm)],[20377, 20376])).
% 34.49/23.08 tff(20379,plain,
% 34.49/23.08 ((~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20378, 1116, 20375])).
% 34.49/23.08 tff(20380,plain,
% 34.49/23.08 (v129(constB144, bitIndex1)),
% 34.49/23.08 inference(unit_resolution,[status(thm)],[20379, 20372])).
% 34.49/23.08 tff(20381,assumption,(~v100(constB144)), introduced(assumption)).
% 34.49/23.08 tff(20382,plain,
% 34.49/23.08 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 34.49/23.08 inference(rewrite,[status(thm)],[])).
% 34.49/23.08 tff(20383,plain,
% 34.49/23.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 34.49/23.08 inference(quant_inst,[status(thm)],[])).
% 34.49/23.08 tff(20384,plain,
% 34.49/23.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144))),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20383, 20382])).
% 34.49/23.09 tff(20385,plain,
% 34.49/23.09 (~v104(constB144)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20384, 603, 20375, 20266])).
% 34.49/23.09 tff(20386,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20387,plain,
% 34.49/23.09 (((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144)) <=> ((~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20388,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | v102(constB144)))),
% 34.49/23.09 inference(monotonicity,[status(thm)],[20387])).
% 34.49/23.09 tff(20389,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))),
% 34.49/23.09 inference(transitivity,[status(thm)],[20388, 20386])).
% 34.49/23.09 tff(20390,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20391,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | v102(constB144)),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20390, 20389])).
% 34.49/23.09 tff(20392,plain,
% 34.49/23.09 (v104(constB144) | v102(constB144)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20391, 617, 20375])).
% 34.49/23.09 tff(20393,plain,
% 34.49/23.09 (v102(constB144)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20392, 20385])).
% 34.49/23.09 tff(20394,plain,
% 34.49/23.09 (v1(constB144) <=> v1(constB144)),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20395,axiom,(v1(constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 34.49/23.09 tff(20396,plain,
% 34.49/23.09 (v1(constB144)),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20395, 20394])).
% 34.49/23.09 tff(20397,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20398,plain,
% 34.49/23.09 (((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144))) <=> ((~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20399,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144))))),
% 34.49/23.09 inference(monotonicity,[status(thm)],[20398])).
% 34.49/23.09 tff(20400,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))),
% 34.49/23.09 inference(transitivity,[status(thm)],[20399, 20397])).
% 34.49/23.09 tff(20401,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20402,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144))),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20401, 20400])).
% 34.49/23.09 tff(20403,plain,
% 34.49/23.09 (v101(constB144) | (~v102(constB144))),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20402, 638, 20375, 20396])).
% 34.49/23.09 tff(20404,plain,
% 34.49/23.09 (v101(constB144)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20403, 20393])).
% 34.49/23.09 tff(20405,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20406,plain,
% 34.49/23.09 (((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144)) <=> ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20407,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))))),
% 34.49/23.09 inference(monotonicity,[status(thm)],[20406])).
% 34.49/23.09 tff(20408,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 34.49/23.09 inference(transitivity,[status(thm)],[20407, 20405])).
% 34.49/23.09 tff(20409,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20410,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20409, 20408])).
% 34.49/23.09 tff(20411,plain,
% 34.49/23.09 (v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20410, 656, 20375])).
% 34.49/23.09 tff(20412,plain,
% 34.49/23.09 (v100(constB144) | (~v110(constB144))),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20411, 20404])).
% 34.49/23.09 tff(20413,plain,
% 34.49/23.09 (~v110(constB144)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20412, 20381])).
% 34.49/23.09 tff(20414,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20415,plain,
% 34.49/23.09 (((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144)) <=> ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20416,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))))),
% 34.49/23.09 inference(monotonicity,[status(thm)],[20415])).
% 34.49/23.09 tff(20417,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 34.49/23.09 inference(transitivity,[status(thm)],[20416, 20414])).
% 34.49/23.09 tff(20418,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20419,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20418, 20417])).
% 34.49/23.09 tff(20420,plain,
% 34.49/23.09 (v110(constB144) | (~v108(constB143))),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20419, 585, 20375])).
% 34.49/23.09 tff(20421,plain,
% 34.49/23.09 (~v108(constB143)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20420, 20413])).
% 34.49/23.09 tff(20422,plain,
% 34.49/23.09 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB143) | (~v112(constB143)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB143) | (~v112(constB143)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20423,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB143) | (~v112(constB143)))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20424,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB143) | (~v112(constB143))),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20423, 20422])).
% 34.49/23.09 tff(20425,plain,
% 34.49/23.09 (~v112(constB143)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20424, 568, 20421])).
% 34.49/23.09 tff(20426,plain,
% 34.49/23.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | v112(constB143) | (~v113(constB143)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20427,plain,
% 34.49/23.09 ((v26(constB143) | (~v113(constB143)) | v112(constB143)) <=> (v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20428,plain,
% 34.49/23.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | v112(constB143) | (~v113(constB143))))),
% 34.49/23.09 inference(monotonicity,[status(thm)],[20427])).
% 34.49/23.09 tff(20429,plain,
% 34.49/23.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 34.49/23.09 inference(transitivity,[status(thm)],[20428, 20426])).
% 34.49/23.09 tff(20430,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20431,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143))),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20430, 20429])).
% 34.49/23.09 tff(20432,plain,
% 34.49/23.09 (v112(constB143) | (~v113(constB143))),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20431, 556, 20367])).
% 34.49/23.09 tff(20433,plain,
% 34.49/23.09 (~v113(constB143)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20432, 20425])).
% 34.49/23.09 tff(20434,plain,
% 34.49/23.09 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB143) | (~v125(constB143)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB143) | (~v125(constB143)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20435,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB143) | (~v125(constB143)))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20436,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB143) | (~v125(constB143))),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20435, 20434])).
% 34.49/23.09 tff(20437,plain,
% 34.49/23.09 (~v125(constB143)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20436, 2332, 20433])).
% 34.49/23.09 tff(20438,plain,
% 34.49/23.09 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB143) | (~v114(constB143)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB143) | (~v114(constB143)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20439,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB143) | (~v114(constB143)))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20440,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB143) | (~v114(constB143))),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20439, 20438])).
% 34.49/23.09 tff(20441,plain,
% 34.49/23.09 (~v114(constB143)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20440, 542, 20433])).
% 34.49/23.09 tff(20442,plain,
% 34.49/23.09 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB143) | (~v115(constB143)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB143) | (~v115(constB143)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20443,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB143) | (~v115(constB143)))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20444,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB143) | (~v115(constB143))),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20443, 20442])).
% 34.49/23.09 tff(20445,plain,
% 34.49/23.09 (~v115(constB143)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20444, 531, 20441])).
% 34.49/23.09 tff(20446,plain,
% 34.49/23.09 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB143) | (~v123(constB143)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB143) | (~v123(constB143)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20447,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB143) | (~v123(constB143)))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20448,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB143) | (~v123(constB143))),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20447, 20446])).
% 34.49/23.09 tff(20449,plain,
% 34.49/23.09 (~v123(constB143)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20448, 1776, 20445])).
% 34.49/23.09 tff(20450,assumption,(~v90(constB143, bitIndex2)), introduced(assumption)).
% 34.49/23.09 tff(20451,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex2)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20452,plain,
% 34.49/23.09 (((~nextState(constB143, constB144)) | v90(constB143, bitIndex2) | v100(constB144) | (~v90(constB144, bitIndex2))) <=> (v90(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex2)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20453,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex2) | v100(constB144) | (~v90(constB144, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex2))))),
% 34.49/23.09 inference(monotonicity,[status(thm)],[20452])).
% 34.49/23.09 tff(20454,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex2) | v100(constB144) | (~v90(constB144, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex2)))),
% 34.49/23.09 inference(transitivity,[status(thm)],[20453, 20451])).
% 34.49/23.09 tff(20455,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex2) | v100(constB144) | (~v90(constB144, bitIndex2)))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20456,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex2))),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20455, 20454])).
% 34.49/23.09 tff(20457,plain,
% 34.49/23.09 (v90(constB143, bitIndex2) | v100(constB144) | (~v90(constB144, bitIndex2))),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20456, 413, 20375])).
% 34.49/23.09 tff(20458,plain,
% 34.49/23.09 (~v90(constB144, bitIndex2)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20457, 20450, 20381])).
% 34.49/23.09 tff(20459,assumption,(~v90(constB144, bitIndex2)), introduced(assumption)).
% 34.49/23.09 tff(20460,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20461,plain,
% 34.49/23.09 (((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex2)) | v100(constB144) | v90(constB144, bitIndex2)) <=> ((~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20462,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex2)) | v100(constB144) | v90(constB144, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2)))),
% 34.49/23.09 inference(monotonicity,[status(thm)],[20461])).
% 34.49/23.09 tff(20463,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex2)) | v100(constB144) | v90(constB144, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2))),
% 34.49/23.09 inference(transitivity,[status(thm)],[20462, 20460])).
% 34.49/23.09 tff(20464,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex2)) | v100(constB144) | v90(constB144, bitIndex2))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20465,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2)),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20464, 20463])).
% 34.49/23.09 tff(20466,plain,
% 34.49/23.09 ((~v90(constB143, bitIndex2)) | v100(constB144) | v90(constB144, bitIndex2)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20465, 1658, 20375])).
% 34.49/23.09 tff(20467,plain,
% 34.49/23.09 (~v90(constB143, bitIndex2)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20466, 20381, 20459])).
% 34.49/23.09 tff(20468,assumption,(~v90(constB144, bitIndex0)), introduced(assumption)).
% 34.49/23.09 tff(20469,assumption,(~v26(constB143)), introduced(assumption)).
% 34.49/23.09 tff(20470,assumption,(~v90(constB144, bitIndex1)), introduced(assumption)).
% 34.49/23.09 tff(20471,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex1))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20472,plain,
% 34.49/23.09 (((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex1)) | v100(constB144) | v90(constB144, bitIndex1)) <=> ((~v90(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex1))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20473,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex1)) | v100(constB144) | v90(constB144, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex1)))),
% 34.49/23.09 inference(monotonicity,[status(thm)],[20472])).
% 34.49/23.09 tff(20474,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex1)) | v100(constB144) | v90(constB144, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex1))),
% 34.49/23.09 inference(transitivity,[status(thm)],[20473, 20471])).
% 34.49/23.09 tff(20475,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex1)) | v100(constB144) | v90(constB144, bitIndex1))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20476,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex1)),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20475, 20474])).
% 34.49/23.09 tff(20477,plain,
% 34.49/23.09 ((~v90(constB143, bitIndex1)) | v100(constB144) | v90(constB144, bitIndex1)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20476, 1149, 20375])).
% 34.49/23.09 tff(20478,plain,
% 34.49/23.09 (~v90(constB143, bitIndex1)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20477, 20381, 20470])).
% 34.49/23.09 tff(20479,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex0))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20480,plain,
% 34.49/23.09 (((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex0)) | v100(constB144) | v90(constB144, bitIndex0)) <=> ((~v90(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex0))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20481,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex0)) | v100(constB144) | v90(constB144, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex0)))),
% 34.49/23.09 inference(monotonicity,[status(thm)],[20480])).
% 34.49/23.09 tff(20482,plain,
% 34.49/23.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex0)) | v100(constB144) | v90(constB144, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex0))),
% 34.49/23.09 inference(transitivity,[status(thm)],[20481, 20479])).
% 34.49/23.09 tff(20483,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex0)) | v100(constB144) | v90(constB144, bitIndex0))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20484,plain,
% 34.49/23.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex0)),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20483, 20482])).
% 34.49/23.09 tff(20485,plain,
% 34.49/23.09 ((~v90(constB143, bitIndex0)) | v100(constB144) | v90(constB144, bitIndex0)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20484, 903, 20375])).
% 34.49/23.09 tff(20486,plain,
% 34.49/23.09 (~v90(constB143, bitIndex0)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20485, 20381, 20468])).
% 34.49/23.09 tff(20487,plain,
% 34.49/23.09 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB143) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB143) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20488,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB143) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20489,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB143) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2)),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20488, 20487])).
% 34.49/23.09 tff(20490,plain,
% 34.49/23.09 (v119(constB143)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20489, 476, 20486, 20478, 20467])).
% 34.49/23.09 tff(20491,plain,
% 34.49/23.09 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB143) | (~v119(constB143)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB143) | (~v119(constB143)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20492,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB143) | (~v119(constB143)))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20493,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB143) | (~v119(constB143))),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20492, 20491])).
% 34.49/23.09 tff(20494,plain,
% 34.49/23.09 (v118(constB143)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20493, 487, 20490])).
% 34.49/23.09 tff(20495,plain,
% 34.49/23.09 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB143) | (~v118(constB143)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB143) | (~v118(constB143)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20496,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB143) | (~v118(constB143)))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20497,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB143) | (~v118(constB143))),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20496, 20495])).
% 34.49/23.09 tff(20498,plain,
% 34.49/23.09 (v117(constB143)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20497, 498, 20494])).
% 34.49/23.09 tff(20499,plain,
% 34.49/23.09 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB143) | (~v117(constB143)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB143) | (~v117(constB143)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20500,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB143) | (~v117(constB143)))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20501,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB143) | (~v117(constB143))),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20500, 20499])).
% 34.49/23.09 tff(20502,plain,
% 34.49/23.09 (v116(constB143)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20501, 509, 20498])).
% 34.49/23.09 tff(20503,plain,
% 34.49/23.09 (v112(constB143) | (~v113(constB143))),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20431, 556, 20469])).
% 34.49/23.09 tff(20504,plain,
% 34.49/23.09 (~v113(constB143)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20503, 20425])).
% 34.49/23.09 tff(20505,plain,
% 34.49/23.09 (~v114(constB143)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20440, 542, 20504])).
% 34.49/23.09 tff(20506,plain,
% 34.49/23.09 (~v115(constB143)),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20444, 531, 20505])).
% 34.49/23.09 tff(20507,plain,
% 34.49/23.09 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB143) | (~v116(constB143)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB143) | (~v116(constB143)))),
% 34.49/23.09 inference(rewrite,[status(thm)],[])).
% 34.49/23.09 tff(20508,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB143) | (~v116(constB143)))),
% 34.49/23.09 inference(quant_inst,[status(thm)],[])).
% 34.49/23.09 tff(20509,plain,
% 34.49/23.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB143) | (~v116(constB143))),
% 34.49/23.09 inference(modus_ponens,[status(thm)],[20508, 20507])).
% 34.49/23.09 tff(20510,plain,
% 34.49/23.09 ($false),
% 34.49/23.09 inference(unit_resolution,[status(thm)],[20509, 520, 20506, 20502])).
% 34.49/23.09 tff(20511,plain,(v100(constB144) | v26(constB143) | v90(constB144, bitIndex2) | v90(constB144, bitIndex1) | v90(constB144, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.49/23.10 tff(20512,plain,
% 34.49/23.10 (v100(constB144)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20511, 20469, 20459, 20470, 20468])).
% 34.49/23.10 tff(20513,plain,
% 34.49/23.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20514,plain,
% 34.49/23.10 ((v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2))) <=> (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20515,plain,
% 34.49/23.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))))),
% 34.49/23.10 inference(monotonicity,[status(thm)],[20514])).
% 34.49/23.10 tff(20516,plain,
% 34.49/23.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 34.49/23.10 inference(transitivity,[status(thm)],[20515, 20513])).
% 34.49/23.10 tff(20517,plain,
% 34.49/23.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20518,plain,
% 34.49/23.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20517, 20516])).
% 34.49/23.10 tff(20519,plain,
% 34.49/23.10 ((~v129(constB144, bitIndex2)) | (~v100(constB144))),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20518, 1622, 20459])).
% 34.49/23.10 tff(20520,plain,
% 34.49/23.10 (~v129(constB144, bitIndex2)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20519, 20512])).
% 34.49/23.10 tff(20521,plain,
% 34.49/23.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20522,plain,
% 34.49/23.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20523,plain,
% 34.49/23.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20522, 20521])).
% 34.49/23.10 tff(20524,plain,
% 34.49/23.10 ((~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20523, 1607, 20375])).
% 34.49/23.10 tff(20525,plain,
% 34.49/23.10 (~v127(constB143, bitIndex2)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20524, 20520])).
% 34.49/23.10 tff(20526,plain,
% 34.49/23.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20527,plain,
% 34.49/23.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20528,plain,
% 34.49/23.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20527, 20526])).
% 34.49/23.10 tff(20529,plain,
% 34.49/23.10 ((~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20528, 1592, 20469])).
% 34.49/23.10 tff(20530,plain,
% 34.49/23.10 (~v130(constB143, bitIndex2)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20529, 20525])).
% 34.49/23.10 tff(20531,plain,
% 34.49/23.10 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB143)) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB143)) | v130(constB143, bitIndex2))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20532,plain,
% 34.49/23.10 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB143)) | v130(constB143, bitIndex2))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20533,plain,
% 34.49/23.10 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB143)) | v130(constB143, bitIndex2)),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20532, 20531])).
% 34.49/23.10 tff(20534,plain,
% 34.49/23.10 (~v124(constB143)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20533, 2075, 20530])).
% 34.49/23.10 tff(20535,plain,
% 34.49/23.10 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB143)) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB143)) | v130(constB143, bitIndex2))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20536,plain,
% 34.49/23.10 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB143)) | v130(constB143, bitIndex2))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20537,plain,
% 34.49/23.10 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB143)) | v130(constB143, bitIndex2)),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20536, 20535])).
% 34.49/23.10 tff(20538,plain,
% 34.49/23.10 (~v122(constB143)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20537, 1578, 20530])).
% 34.49/23.10 tff(20539,plain,
% 34.49/23.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20540,plain,
% 34.49/23.10 ((v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1))) <=> (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20541,plain,
% 34.49/23.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))))),
% 34.49/23.10 inference(monotonicity,[status(thm)],[20540])).
% 34.49/23.10 tff(20542,plain,
% 34.49/23.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 34.49/23.10 inference(transitivity,[status(thm)],[20541, 20539])).
% 34.49/23.10 tff(20543,plain,
% 34.49/23.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20544,plain,
% 34.49/23.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20543, 20542])).
% 34.49/23.10 tff(20545,plain,
% 34.49/23.10 ((~v129(constB144, bitIndex1)) | (~v100(constB144))),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20544, 1131, 20470])).
% 34.49/23.10 tff(20546,plain,
% 34.49/23.10 (~v129(constB144, bitIndex1)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20545, 20512])).
% 34.49/23.10 tff(20547,plain,
% 34.49/23.10 (~v127(constB143, bitIndex1)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20379, 20546])).
% 34.49/23.10 tff(20548,plain,
% 34.49/23.10 ((~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20370, 1101, 20469])).
% 34.49/23.10 tff(20549,plain,
% 34.49/23.10 (~v130(constB143, bitIndex1)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20548, 20547])).
% 34.49/23.10 tff(20550,plain,
% 34.49/23.10 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB143)) | v130(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB143)) | v130(constB143, bitIndex1))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20551,plain,
% 34.49/23.10 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB143)) | v130(constB143, bitIndex1))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20552,plain,
% 34.49/23.10 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB143)) | v130(constB143, bitIndex1)),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20551, 20550])).
% 34.49/23.10 tff(20553,plain,
% 34.49/23.10 (~v120(constB143)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20552, 1087, 20549])).
% 34.49/23.10 tff(20554,assumption,(v100(constB144)), introduced(assumption)).
% 34.49/23.10 tff(20555,plain,
% 34.49/23.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144)))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20556,plain,
% 34.49/23.10 ((v90(constB144, bitIndex0) | (~v100(constB144)) | (~v129(constB144, bitIndex0))) <=> (v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144)))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20557,plain,
% 34.49/23.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~v100(constB144)) | (~v129(constB144, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144))))),
% 34.49/23.10 inference(monotonicity,[status(thm)],[20556])).
% 34.49/23.10 tff(20558,plain,
% 34.49/23.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~v100(constB144)) | (~v129(constB144, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144)))),
% 34.49/23.10 inference(transitivity,[status(thm)],[20557, 20555])).
% 34.49/23.10 tff(20559,plain,
% 34.49/23.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~v100(constB144)) | (~v129(constB144, bitIndex0)))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20560,plain,
% 34.49/23.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144))),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20559, 20558])).
% 34.49/23.10 tff(20561,plain,
% 34.49/23.10 ((~v129(constB144, bitIndex0)) | (~v100(constB144))),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20560, 885, 20468])).
% 34.49/23.10 tff(20562,plain,
% 34.49/23.10 (~v129(constB144, bitIndex0)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20561, 20554])).
% 34.49/23.10 tff(20563,plain,
% 34.49/23.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex0)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex0)) | v129(constB144, bitIndex0))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20564,plain,
% 34.49/23.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex0)) | v129(constB144, bitIndex0))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20565,plain,
% 34.49/23.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex0)) | v129(constB144, bitIndex0)),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20564, 20563])).
% 34.49/23.10 tff(20566,plain,
% 34.49/23.10 ((~v127(constB143, bitIndex0)) | v129(constB144, bitIndex0)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20565, 870, 20375])).
% 34.49/23.10 tff(20567,plain,
% 34.49/23.10 (~v127(constB143, bitIndex0)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20566, 20562])).
% 34.49/23.10 tff(20568,plain,
% 34.49/23.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB143) | (~v130(constB143, bitIndex0)) | v127(constB143, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB143) | (~v130(constB143, bitIndex0)) | v127(constB143, bitIndex0))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20569,plain,
% 34.49/23.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB143) | (~v130(constB143, bitIndex0)) | v127(constB143, bitIndex0))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20570,plain,
% 34.49/23.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB143) | (~v130(constB143, bitIndex0)) | v127(constB143, bitIndex0)),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20569, 20568])).
% 34.49/23.10 tff(20571,plain,
% 34.49/23.10 ((~v130(constB143, bitIndex0)) | v127(constB143, bitIndex0)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20570, 855, 20469])).
% 34.49/23.10 tff(20572,plain,
% 34.49/23.10 (~v130(constB143, bitIndex0)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20571, 20567])).
% 34.49/23.10 tff(20573,plain,
% 34.49/23.10 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB143)) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB143)) | v130(constB143, bitIndex0))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20574,plain,
% 34.49/23.10 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB143)) | v130(constB143, bitIndex0))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20575,plain,
% 34.49/23.10 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB143)) | v130(constB143, bitIndex0)),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20574, 20573])).
% 34.49/23.10 tff(20576,plain,
% 34.49/23.10 (~v119(constB143)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20575, 841, 20572])).
% 34.49/23.10 tff(20577,plain,
% 34.49/23.10 (~v129(constB144, bitIndex2)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20519, 20554])).
% 34.49/23.10 tff(20578,plain,
% 34.49/23.10 (~v127(constB143, bitIndex2)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20524, 20577])).
% 34.49/23.10 tff(20579,plain,
% 34.49/23.10 (~v130(constB143, bitIndex2)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20529, 20578])).
% 34.49/23.10 tff(20580,plain,
% 34.49/23.10 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB143)) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB143)) | v130(constB143, bitIndex2))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20581,plain,
% 34.49/23.10 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB143)) | v130(constB143, bitIndex2))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20582,plain,
% 34.49/23.10 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB143)) | v130(constB143, bitIndex2)),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20581, 20580])).
% 34.49/23.10 tff(20583,plain,
% 34.49/23.10 (~v123(constB143)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20582, 1850, 20579])).
% 34.49/23.10 tff(20584,plain,
% 34.49/23.10 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB143)) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB143)) | v130(constB143, bitIndex0))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20585,plain,
% 34.49/23.10 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB143)) | v130(constB143, bitIndex0))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20586,plain,
% 34.49/23.10 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB143)) | v130(constB143, bitIndex0)),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20585, 20584])).
% 34.49/23.10 tff(20587,plain,
% 34.49/23.10 (~v121(constB143)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20586, 1445, 20572])).
% 34.49/23.10 tff(20588,assumption,(~v120(constB143)), introduced(assumption)).
% 34.49/23.10 tff(20589,assumption,(~v122(constB143)), introduced(assumption)).
% 34.49/23.10 tff(20590,assumption,(~v124(constB143)), introduced(assumption)).
% 34.49/23.10 tff(20591,plain,
% 34.49/23.10 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB143, bitIndex0) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB143, bitIndex0) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20592,plain,
% 34.49/23.10 ((v120(constB143) | v119(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, bitIndex0)) <=> (v130(constB143, bitIndex0) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20593,plain,
% 34.49/23.10 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB143) | v119(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB143, bitIndex0) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143)))),
% 34.49/23.10 inference(monotonicity,[status(thm)],[20592])).
% 34.49/23.10 tff(20594,plain,
% 34.49/23.10 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB143) | v119(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB143, bitIndex0) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143))),
% 34.49/23.10 inference(transitivity,[status(thm)],[20593, 20591])).
% 34.49/23.10 tff(20595,plain,
% 34.49/23.10 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB143) | v119(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, bitIndex0))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20596,plain,
% 34.49/23.10 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB143, bitIndex0) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143)),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20595, 20594])).
% 34.49/23.10 tff(20597,plain,
% 34.49/23.10 (v130(constB143, bitIndex0) | v123(constB143) | v121(constB143) | v119(constB143)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20596, 2495, 20590, 20589, 20588])).
% 34.49/23.10 tff(20598,plain,
% 34.49/23.10 ($false),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20597, 20587, 20583, 20572, 20576])).
% 34.49/23.10 tff(20599,plain,((~v100(constB144)) | v124(constB143) | v122(constB143) | v120(constB143) | v26(constB143) | v90(constB144, bitIndex0) | v90(constB144, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 34.49/23.10 tff(20600,plain,
% 34.49/23.10 ($false),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20599, 20553, 20538, 20512, 20534, 20469, 20468, 20459])).
% 34.49/23.10 tff(20601,plain,(v26(constB143) | v90(constB144, bitIndex0) | v90(constB144, bitIndex2) | v90(constB144, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 34.49/23.10 tff(20602,plain,
% 34.49/23.10 (v90(constB144, bitIndex1)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20601, 20459, 20367, 20468])).
% 34.49/23.10 tff(20603,plain,
% 34.49/23.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex1)))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20604,plain,
% 34.49/23.10 (((~nextState(constB143, constB144)) | v90(constB143, bitIndex1) | v100(constB144) | (~v90(constB144, bitIndex1))) <=> (v90(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex1)))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20605,plain,
% 34.49/23.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex1) | v100(constB144) | (~v90(constB144, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex1))))),
% 34.49/23.10 inference(monotonicity,[status(thm)],[20604])).
% 34.49/23.10 tff(20606,plain,
% 34.49/23.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex1) | v100(constB144) | (~v90(constB144, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex1)))),
% 34.49/23.10 inference(transitivity,[status(thm)],[20605, 20603])).
% 34.49/23.10 tff(20607,plain,
% 34.49/23.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex1) | v100(constB144) | (~v90(constB144, bitIndex1)))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20608,plain,
% 34.49/23.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex1))),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20607, 20606])).
% 34.49/23.10 tff(20609,plain,
% 34.49/23.10 (v90(constB143, bitIndex1) | v100(constB144) | (~v90(constB144, bitIndex1))),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20608, 434, 20375])).
% 34.49/23.10 tff(20610,plain,
% 34.49/23.10 (v90(constB143, bitIndex1)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20609, 20381, 20602])).
% 34.49/23.10 tff(20611,plain,
% 34.49/23.10 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v121(constB143))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v121(constB143))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20612,plain,
% 34.49/23.10 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v121(constB143))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20613,plain,
% 34.49/23.10 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v121(constB143)),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20612, 20611])).
% 34.49/23.10 tff(20614,plain,
% 34.49/23.10 (v121(constB143)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20613, 1242, 20486, 20610, 20467])).
% 34.49/23.10 tff(20615,plain,
% 34.49/23.10 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB143) | (~v121(constB143)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB143) | (~v121(constB143)))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20616,plain,
% 34.49/23.10 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB143) | (~v121(constB143)))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20617,plain,
% 34.49/23.10 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB143) | (~v121(constB143))),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20616, 20615])).
% 34.49/23.10 tff(20618,plain,
% 34.49/23.10 (v117(constB143)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20617, 1253, 20614])).
% 34.49/23.10 tff(20619,plain,
% 34.49/23.10 (v116(constB143)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20501, 509, 20618])).
% 34.49/23.10 tff(20620,plain,
% 34.49/23.10 ($false),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20509, 520, 20445, 20619])).
% 34.49/23.10 tff(20621,plain,(v100(constB144) | v90(constB144, bitIndex2) | v90(constB144, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.49/23.10 tff(20622,plain,
% 34.49/23.10 (v90(constB144, bitIndex0)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20621, 20458, 20381])).
% 34.49/23.10 tff(20623,plain,
% 34.49/23.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex0)))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20624,plain,
% 34.49/23.10 (((~nextState(constB143, constB144)) | v90(constB143, bitIndex0) | v100(constB144) | (~v90(constB144, bitIndex0))) <=> (v90(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex0)))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20625,plain,
% 34.49/23.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex0) | v100(constB144) | (~v90(constB144, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex0))))),
% 34.49/23.10 inference(monotonicity,[status(thm)],[20624])).
% 34.49/23.10 tff(20626,plain,
% 34.49/23.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex0) | v100(constB144) | (~v90(constB144, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex0)))),
% 34.49/23.10 inference(transitivity,[status(thm)],[20625, 20623])).
% 34.49/23.10 tff(20627,plain,
% 34.49/23.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex0) | v100(constB144) | (~v90(constB144, bitIndex0)))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.10 tff(20628,plain,
% 34.49/23.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex0))),
% 34.49/23.10 inference(modus_ponens,[status(thm)],[20627, 20626])).
% 34.49/23.10 tff(20629,plain,
% 34.49/23.10 (v90(constB143, bitIndex0) | v100(constB144) | (~v90(constB144, bitIndex0))),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20628, 455, 20375])).
% 34.49/23.10 tff(20630,plain,
% 34.49/23.10 (v90(constB143, bitIndex0)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20629, 20622, 20381])).
% 34.49/23.10 tff(20631,assumption,(v90(constB144, bitIndex0)), introduced(assumption)).
% 34.49/23.10 tff(20632,plain,
% 34.49/23.10 (v90(constB143, bitIndex0)),
% 34.49/23.10 inference(unit_resolution,[status(thm)],[20629, 20381, 20631])).
% 34.49/23.10 tff(20633,plain,
% 34.49/23.10 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v120(constB143))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v120(constB143))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20634,plain,
% 34.49/23.10 (((~v90(constB143, bitIndex0)) | v120(constB143) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2)) <=> ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v120(constB143))),
% 34.49/23.10 inference(rewrite,[status(thm)],[])).
% 34.49/23.10 tff(20635,plain,
% 34.49/23.10 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB143, bitIndex0)) | v120(constB143) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v120(constB143)))),
% 34.49/23.10 inference(monotonicity,[status(thm)],[20634])).
% 34.49/23.10 tff(20636,plain,
% 34.49/23.10 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB143, bitIndex0)) | v120(constB143) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v120(constB143))),
% 34.49/23.10 inference(transitivity,[status(thm)],[20635, 20633])).
% 34.49/23.10 tff(20637,plain,
% 34.49/23.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB143, bitIndex0)) | v120(constB143) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2))),
% 34.49/23.10 inference(quant_inst,[status(thm)],[])).
% 34.49/23.11 tff(20638,plain,
% 34.49/23.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v120(constB143)),
% 34.49/23.11 inference(modus_ponens,[status(thm)],[20637, 20636])).
% 34.49/23.11 tff(20639,plain,
% 34.49/23.11 (v120(constB143)),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20638, 922, 20632, 20478, 20467])).
% 34.49/23.11 tff(20640,plain,
% 34.49/23.11 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB143) | (~v120(constB143)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB143) | (~v120(constB143)))),
% 34.49/23.11 inference(rewrite,[status(thm)],[])).
% 34.49/23.11 tff(20641,plain,
% 34.49/23.11 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB143) | (~v120(constB143)))),
% 34.49/23.11 inference(quant_inst,[status(thm)],[])).
% 34.49/23.11 tff(20642,plain,
% 34.49/23.11 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB143) | (~v120(constB143))),
% 34.49/23.11 inference(modus_ponens,[status(thm)],[20641, 20640])).
% 34.49/23.11 tff(20643,plain,
% 34.49/23.11 (v118(constB143)),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20642, 936, 20639])).
% 34.49/23.11 tff(20644,plain,
% 34.49/23.11 (v117(constB143)),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20497, 498, 20643])).
% 34.49/23.11 tff(20645,plain,
% 34.49/23.11 (v116(constB143)),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20501, 509, 20644])).
% 34.49/23.11 tff(20646,plain,
% 34.49/23.11 ($false),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20509, 520, 20645, 20445])).
% 34.49/23.11 tff(20647,plain,(v100(constB144) | v90(constB144, bitIndex1) | v90(constB144, bitIndex2) | (~v90(constB144, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.49/23.11 tff(20648,plain,
% 34.49/23.11 (v90(constB144, bitIndex1)),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20647, 20458, 20381, 20622])).
% 34.49/23.11 tff(20649,plain,
% 34.49/23.11 (v90(constB143, bitIndex1)),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20609, 20648, 20381])).
% 34.49/23.11 tff(20650,plain,
% 34.49/23.11 (~v116(constB143)),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20509, 520, 20445])).
% 34.49/23.11 tff(20651,plain,
% 34.49/23.11 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB143) | (~v122(constB143)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB143) | (~v122(constB143)))),
% 34.49/23.11 inference(rewrite,[status(thm)],[])).
% 34.49/23.11 tff(20652,plain,
% 34.49/23.11 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB143) | (~v122(constB143)))),
% 34.49/23.11 inference(quant_inst,[status(thm)],[])).
% 34.49/23.11 tff(20653,plain,
% 34.49/23.11 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB143) | (~v122(constB143))),
% 34.49/23.11 inference(modus_ponens,[status(thm)],[20652, 20651])).
% 34.49/23.11 tff(20654,plain,
% 34.49/23.11 (~v122(constB143)),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20653, 1497, 20650])).
% 34.49/23.11 tff(20655,plain,
% 34.49/23.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v122(constB143))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v122(constB143))),
% 34.49/23.11 inference(rewrite,[status(thm)],[])).
% 34.49/23.11 tff(20656,plain,
% 34.49/23.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v122(constB143))),
% 34.49/23.11 inference(quant_inst,[status(thm)],[])).
% 34.49/23.11 tff(20657,plain,
% 34.49/23.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2) | v122(constB143)),
% 34.49/23.11 inference(modus_ponens,[status(thm)],[20656, 20655])).
% 34.49/23.11 tff(20658,plain,
% 34.49/23.11 ((~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex1)) | v90(constB143, bitIndex2)),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20657, 1486, 20654])).
% 34.49/23.11 tff(20659,plain,
% 34.49/23.11 ($false),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20658, 20649, 20630, 20450])).
% 34.49/23.11 tff(20660,plain,(v90(constB143, bitIndex2) | v100(constB144)), inference(lemma,lemma(discharge,[]))).
% 34.49/23.11 tff(20661,plain,
% 34.49/23.11 (v90(constB143, bitIndex2)),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20660, 20381])).
% 34.49/23.11 tff(20662,assumption,(v90(constB143, bitIndex2)), introduced(assumption)).
% 34.49/23.11 tff(20663,assumption,(~v90(constB143, bitIndex0)), introduced(assumption)).
% 34.49/23.11 tff(20664,assumption,(~v125(constB143)), introduced(assumption)).
% 34.49/23.11 tff(20665,plain,
% 34.49/23.11 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | (~v90(constB143, bitIndex2)) | v125(constB143))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | (~v90(constB143, bitIndex2)) | v125(constB143))),
% 34.49/23.11 inference(rewrite,[status(thm)],[])).
% 34.49/23.11 tff(20666,plain,
% 34.49/23.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | (~v90(constB143, bitIndex2)) | v125(constB143))),
% 34.49/23.11 inference(quant_inst,[status(thm)],[])).
% 34.49/23.11 tff(20667,plain,
% 34.49/23.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | (~v90(constB143, bitIndex2)) | v125(constB143)),
% 34.49/23.11 inference(modus_ponens,[status(thm)],[20666, 20665])).
% 34.49/23.11 tff(20668,plain,
% 34.49/23.11 (v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | (~v90(constB143, bitIndex2))),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20667, 2321, 20664])).
% 34.49/23.11 tff(20669,plain,
% 34.49/23.11 (~v90(constB143, bitIndex1)),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20668, 20663, 20662])).
% 34.49/23.11 tff(20670,assumption,(~v123(constB143)), introduced(assumption)).
% 34.49/23.11 tff(20671,plain,
% 34.49/23.11 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143))),
% 34.49/23.11 inference(rewrite,[status(thm)],[])).
% 34.49/23.11 tff(20672,plain,
% 34.49/23.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143))),
% 34.49/23.11 inference(quant_inst,[status(thm)],[])).
% 34.49/23.11 tff(20673,plain,
% 34.49/23.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143)),
% 34.49/23.11 inference(modus_ponens,[status(thm)],[20672, 20671])).
% 34.49/23.11 tff(20674,plain,
% 34.49/23.11 (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2))),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20673, 1765, 20670])).
% 34.49/23.11 tff(20675,plain,
% 34.49/23.11 ($false),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20674, 20669, 20663, 20662])).
% 34.49/23.11 tff(20676,plain,(v90(constB143, bitIndex0) | (~v90(constB143, bitIndex2)) | v123(constB143) | v125(constB143)), inference(lemma,lemma(discharge,[]))).
% 34.49/23.11 tff(20677,plain,
% 34.49/23.11 (v90(constB143, bitIndex0)),
% 34.49/23.11 inference(unit_resolution,[status(thm)],[20676, 20661, 20449, 20437])).
% 34.49/23.11 tff(20678,plain,
% 34.49/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 34.52/23.11 inference(rewrite,[status(thm)],[])).
% 34.52/23.11 tff(20679,plain,
% 34.52/23.11 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0))) <=> (v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 34.52/23.11 inference(rewrite,[status(thm)],[])).
% 34.52/23.11 tff(20680,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0))))),
% 34.52/23.11 inference(monotonicity,[status(thm)],[20679])).
% 34.52/23.11 tff(20681,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 34.52/23.11 inference(transitivity,[status(thm)],[20680, 20678])).
% 34.52/23.11 tff(20682,plain,
% 34.52/23.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 34.52/23.11 inference(quant_inst,[status(thm)],[])).
% 34.52/23.11 tff(20683,plain,
% 34.52/23.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0))),
% 34.52/23.11 inference(modus_ponens,[status(thm)],[20682, 20681])).
% 34.52/23.11 tff(20684,plain,
% 34.52/23.11 (v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0))),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20683, 455, 20269])).
% 34.52/23.11 tff(20685,plain,
% 34.52/23.11 (v90(constB142, bitIndex0) | (~v90(constB143, bitIndex0))),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20684, 20281])).
% 34.52/23.11 tff(20686,plain,
% 34.52/23.11 (v90(constB142, bitIndex0)),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20685, 20677])).
% 34.52/23.11 tff(20687,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex2)))),
% 34.52/23.11 inference(rewrite,[status(thm)],[])).
% 34.52/23.11 tff(20688,plain,
% 34.52/23.11 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex2) | v100(constB143) | (~v90(constB143, bitIndex2))) <=> (v90(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex2)))),
% 34.52/23.11 inference(rewrite,[status(thm)],[])).
% 34.52/23.11 tff(20689,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex2) | v100(constB143) | (~v90(constB143, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex2))))),
% 34.52/23.11 inference(monotonicity,[status(thm)],[20688])).
% 34.52/23.11 tff(20690,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex2) | v100(constB143) | (~v90(constB143, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex2)))),
% 34.52/23.11 inference(transitivity,[status(thm)],[20689, 20687])).
% 34.52/23.11 tff(20691,plain,
% 34.52/23.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex2) | v100(constB143) | (~v90(constB143, bitIndex2)))),
% 34.52/23.11 inference(quant_inst,[status(thm)],[])).
% 34.52/23.11 tff(20692,plain,
% 34.52/23.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex2))),
% 34.52/23.11 inference(modus_ponens,[status(thm)],[20691, 20690])).
% 34.52/23.11 tff(20693,plain,
% 34.52/23.11 (v90(constB142, bitIndex2) | v100(constB143) | (~v90(constB143, bitIndex2))),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20692, 413, 20269])).
% 34.52/23.11 tff(20694,plain,
% 34.52/23.11 (v90(constB142, bitIndex2) | (~v90(constB143, bitIndex2))),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20693, 20281])).
% 34.52/23.11 tff(20695,plain,
% 34.52/23.11 (v90(constB142, bitIndex2)),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20694, 20661])).
% 34.52/23.11 tff(20696,plain,
% 34.52/23.11 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB143) | (~v124(constB143)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB143) | (~v124(constB143)))),
% 34.52/23.11 inference(rewrite,[status(thm)],[])).
% 34.52/23.11 tff(20697,plain,
% 34.52/23.11 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB143) | (~v124(constB143)))),
% 34.52/23.11 inference(quant_inst,[status(thm)],[])).
% 34.52/23.11 tff(20698,plain,
% 34.52/23.11 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB143) | (~v124(constB143))),
% 34.52/23.11 inference(modus_ponens,[status(thm)],[20697, 20696])).
% 34.52/23.11 tff(20699,plain,
% 34.52/23.11 (~v124(constB143)),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20698, 2005, 20441])).
% 34.52/23.11 tff(20700,plain,
% 34.52/23.11 ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2))),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20358, 1994, 20699])).
% 34.52/23.11 tff(20701,plain,
% 34.52/23.11 (v90(constB143, bitIndex1)),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20700, 20677, 20661])).
% 34.52/23.11 tff(20702,plain,
% 34.52/23.11 (v90(constB142, bitIndex1)),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20323, 20701])).
% 34.52/23.11 tff(20703,assumption,(v90(constB142, bitIndex2)), introduced(assumption)).
% 34.52/23.11 tff(20704,assumption,(~v100(constB142)), introduced(assumption)).
% 34.52/23.11 tff(20705,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2)))),
% 34.52/23.11 inference(rewrite,[status(thm)],[])).
% 34.52/23.11 tff(20706,plain,
% 34.52/23.11 (((~nextState(constB141, constB142)) | v90(constB141, bitIndex2) | v100(constB142) | (~v90(constB142, bitIndex2))) <=> (v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2)))),
% 34.52/23.11 inference(rewrite,[status(thm)],[])).
% 34.52/23.11 tff(20707,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex2) | v100(constB142) | (~v90(constB142, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2))))),
% 34.52/23.11 inference(monotonicity,[status(thm)],[20706])).
% 34.52/23.11 tff(20708,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex2) | v100(constB142) | (~v90(constB142, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2)))),
% 34.52/23.11 inference(transitivity,[status(thm)],[20707, 20705])).
% 34.52/23.11 tff(20709,plain,
% 34.52/23.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex2) | v100(constB142) | (~v90(constB142, bitIndex2)))),
% 34.52/23.11 inference(quant_inst,[status(thm)],[])).
% 34.52/23.11 tff(20710,plain,
% 34.52/23.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2))),
% 34.52/23.11 inference(modus_ponens,[status(thm)],[20709, 20708])).
% 34.52/23.11 tff(20711,plain,
% 34.52/23.11 (v90(constB141, bitIndex2) | v100(constB142) | (~v90(constB142, bitIndex2))),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20710, 413, 20201])).
% 34.52/23.11 tff(20712,plain,
% 34.52/23.11 (v90(constB141, bitIndex2)),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20711, 20704, 20703])).
% 34.52/23.11 tff(20713,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 34.52/23.11 inference(rewrite,[status(thm)],[])).
% 34.52/23.11 tff(20714,plain,
% 34.52/23.11 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2))) <=> (v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 34.52/23.11 inference(rewrite,[status(thm)],[])).
% 34.52/23.11 tff(20715,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2))))),
% 34.52/23.11 inference(monotonicity,[status(thm)],[20714])).
% 34.52/23.11 tff(20716,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 34.52/23.11 inference(transitivity,[status(thm)],[20715, 20713])).
% 34.52/23.11 tff(20717,plain,
% 34.52/23.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 34.52/23.11 inference(quant_inst,[status(thm)],[])).
% 34.52/23.11 tff(20718,plain,
% 34.52/23.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2))),
% 34.52/23.11 inference(modus_ponens,[status(thm)],[20717, 20716])).
% 34.52/23.11 tff(20719,plain,
% 34.52/23.11 (v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2))),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20718, 413, 20077])).
% 34.52/23.11 tff(20720,plain,
% 34.52/23.11 (v90(constB140, bitIndex2) | (~v90(constB141, bitIndex2))),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20719, 20089])).
% 34.52/23.11 tff(20721,plain,
% 34.52/23.11 (v90(constB140, bitIndex2)),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20720, 20712])).
% 34.52/23.11 tff(20722,assumption,(v90(constB142, bitIndex0)), introduced(assumption)).
% 34.52/23.11 tff(20723,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 34.52/23.11 inference(rewrite,[status(thm)],[])).
% 34.52/23.11 tff(20724,plain,
% 34.52/23.11 (((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0))) <=> (v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 34.52/23.11 inference(rewrite,[status(thm)],[])).
% 34.52/23.11 tff(20725,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0))))),
% 34.52/23.11 inference(monotonicity,[status(thm)],[20724])).
% 34.52/23.11 tff(20726,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 34.52/23.11 inference(transitivity,[status(thm)],[20725, 20723])).
% 34.52/23.11 tff(20727,plain,
% 34.52/23.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 34.52/23.11 inference(quant_inst,[status(thm)],[])).
% 34.52/23.11 tff(20728,plain,
% 34.52/23.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0))),
% 34.52/23.11 inference(modus_ponens,[status(thm)],[20727, 20726])).
% 34.52/23.11 tff(20729,plain,
% 34.52/23.11 (v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0))),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20728, 455, 20201])).
% 34.52/23.11 tff(20730,plain,
% 34.52/23.11 (v90(constB141, bitIndex0)),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20729, 20704, 20722])).
% 34.52/23.11 tff(20731,plain,
% 34.52/23.11 (v90(constB140, bitIndex0)),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20165, 20730])).
% 34.52/23.11 tff(20732,assumption,(v90(constB142, bitIndex1)), introduced(assumption)).
% 34.52/23.11 tff(20733,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1)))),
% 34.52/23.11 inference(rewrite,[status(thm)],[])).
% 34.52/23.11 tff(20734,plain,
% 34.52/23.11 (((~nextState(constB141, constB142)) | v90(constB141, bitIndex1) | v100(constB142) | (~v90(constB142, bitIndex1))) <=> (v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1)))),
% 34.52/23.11 inference(rewrite,[status(thm)],[])).
% 34.52/23.11 tff(20735,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex1) | v100(constB142) | (~v90(constB142, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1))))),
% 34.52/23.11 inference(monotonicity,[status(thm)],[20734])).
% 34.52/23.11 tff(20736,plain,
% 34.52/23.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex1) | v100(constB142) | (~v90(constB142, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1)))),
% 34.52/23.11 inference(transitivity,[status(thm)],[20735, 20733])).
% 34.52/23.11 tff(20737,plain,
% 34.52/23.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex1) | v100(constB142) | (~v90(constB142, bitIndex1)))),
% 34.52/23.11 inference(quant_inst,[status(thm)],[])).
% 34.52/23.11 tff(20738,plain,
% 34.52/23.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1))),
% 34.52/23.11 inference(modus_ponens,[status(thm)],[20737, 20736])).
% 34.52/23.11 tff(20739,plain,
% 34.52/23.11 (v90(constB141, bitIndex1) | v100(constB142) | (~v90(constB142, bitIndex1))),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20738, 434, 20201])).
% 34.52/23.11 tff(20740,plain,
% 34.52/23.11 (v90(constB141, bitIndex1)),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20739, 20704, 20732])).
% 34.52/23.11 tff(20741,plain,
% 34.52/23.11 (v90(constB140, bitIndex1)),
% 34.52/23.11 inference(unit_resolution,[status(thm)],[20131, 20740])).
% 34.52/23.11 tff(20742,assumption,(v100(constB140)), introduced(assumption)).
% 34.52/23.11 tff(20743,assumption,(v90(constB140, bitIndex2)), introduced(assumption)).
% 34.52/23.11 tff(20744,plain,
% 34.52/23.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140)))),
% 34.52/23.11 inference(rewrite,[status(thm)],[])).
% 34.52/23.11 tff(20745,plain,
% 34.52/23.11 (((~v90(constB140, bitIndex2)) | (~v100(constB140)) | v129(constB140, bitIndex2)) <=> ((~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140)))),
% 34.52/23.11 inference(rewrite,[status(thm)],[])).
% 34.52/23.11 tff(20746,plain,
% 34.52/23.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~v100(constB140)) | v129(constB140, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140))))),
% 34.52/23.12 inference(monotonicity,[status(thm)],[20745])).
% 34.52/23.12 tff(20747,plain,
% 34.52/23.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~v100(constB140)) | v129(constB140, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140)))),
% 34.52/23.12 inference(transitivity,[status(thm)],[20746, 20744])).
% 34.52/23.12 tff(20748,plain,
% 34.52/23.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~v100(constB140)) | v129(constB140, bitIndex2))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20749,plain,
% 34.52/23.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140))),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20748, 20747])).
% 34.52/23.12 tff(20750,plain,
% 34.52/23.12 (v129(constB140, bitIndex2) | (~v100(constB140))),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20749, 722, 20743])).
% 34.52/23.12 tff(20751,plain,
% 34.52/23.12 (v129(constB140, bitIndex2)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20750, 20742])).
% 34.52/23.12 tff(20752,plain,
% 34.52/23.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20753,plain,
% 34.52/23.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2)))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20754,plain,
% 34.52/23.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2))),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20753, 20752])).
% 34.52/23.12 tff(20755,plain,
% 34.52/23.12 (v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2))),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20754, 707, 20009])).
% 34.52/23.12 tff(20756,plain,
% 34.52/23.12 (v127(constB139, bitIndex2)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20755, 20751])).
% 34.52/23.12 tff(20757,assumption,(~v26(constB139)), introduced(assumption)).
% 34.52/23.12 tff(20758,plain,
% 34.52/23.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20759,plain,
% 34.52/23.12 ((v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2))) <=> ((~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20760,plain,
% 34.52/23.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2)))),
% 34.52/23.12 inference(monotonicity,[status(thm)],[20759])).
% 34.52/23.12 tff(20761,plain,
% 34.52/23.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))),
% 34.52/23.12 inference(transitivity,[status(thm)],[20760, 20758])).
% 34.52/23.12 tff(20762,plain,
% 34.52/23.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2)))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20763,plain,
% 34.52/23.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2)),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20762, 20761])).
% 34.52/23.12 tff(20764,plain,
% 34.52/23.12 ((~v127(constB139, bitIndex2)) | v130(constB139, bitIndex2)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20763, 689, 20757])).
% 34.52/23.12 tff(20765,plain,
% 34.52/23.12 (v130(constB139, bitIndex2)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20764, 20756])).
% 34.52/23.12 tff(20766,plain,
% 34.52/23.12 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB139)) | (~v130(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB139)) | (~v130(constB139, bitIndex2)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20767,plain,
% 34.52/23.12 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB139)) | (~v130(constB139, bitIndex2)))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20768,plain,
% 34.52/23.12 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB139)) | (~v130(constB139, bitIndex2))),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20767, 20766])).
% 34.52/23.12 tff(20769,plain,
% 34.52/23.12 (~v119(constB139)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20768, 675, 20765])).
% 34.52/23.12 tff(20770,plain,
% 34.52/23.12 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB139)) | (~v130(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB139)) | (~v130(constB139, bitIndex2)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20771,plain,
% 34.52/23.12 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB139)) | (~v130(constB139, bitIndex2)))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20772,plain,
% 34.52/23.12 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB139)) | (~v130(constB139, bitIndex2))),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20771, 20770])).
% 34.52/23.12 tff(20773,plain,
% 34.52/23.12 (~v121(constB139)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20772, 1342, 20765])).
% 34.52/23.12 tff(20774,assumption,(v90(constB140, bitIndex0)), introduced(assumption)).
% 34.52/23.12 tff(20775,plain,
% 34.52/23.12 (v129(constB140, bitIndex0) | (~v100(constB140))),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20155, 1215, 20774])).
% 34.52/23.12 tff(20776,plain,
% 34.52/23.12 (v129(constB140, bitIndex0)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20775, 20742])).
% 34.52/23.12 tff(20777,plain,
% 34.52/23.12 (v127(constB139, bitIndex0)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20148, 20776])).
% 34.52/23.12 tff(20778,plain,
% 34.52/23.12 ((~v127(constB139, bitIndex0)) | v130(constB139, bitIndex0)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20142, 1182, 20757])).
% 34.52/23.12 tff(20779,plain,
% 34.52/23.12 (v130(constB139, bitIndex0)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20778, 20777])).
% 34.52/23.12 tff(20780,plain,
% 34.52/23.12 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB139)) | (~v130(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB139)) | (~v130(constB139, bitIndex0)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20781,plain,
% 34.52/23.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB139)) | (~v130(constB139, bitIndex0)))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20782,plain,
% 34.52/23.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB139)) | (~v130(constB139, bitIndex0))),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20781, 20780])).
% 34.52/23.12 tff(20783,plain,
% 34.52/23.12 (~v120(constB139)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20782, 1168, 20779])).
% 34.52/23.12 tff(20784,plain,
% 34.52/23.12 (~v122(constB139)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20135, 1721, 20779])).
% 34.52/23.12 tff(20785,plain,
% 34.52/23.12 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB139)) | (~v130(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB139)) | (~v130(constB139, bitIndex0)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20786,plain,
% 34.52/23.12 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB139)) | (~v130(constB139, bitIndex0)))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20787,plain,
% 34.52/23.12 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB139)) | (~v130(constB139, bitIndex0))),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20786, 20785])).
% 34.52/23.12 tff(20788,plain,
% 34.52/23.12 (~v124(constB139)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20787, 2277, 20779])).
% 34.52/23.12 tff(20789,assumption,(v90(constB140, bitIndex1)), introduced(assumption)).
% 34.52/23.12 tff(20790,plain,
% 34.52/23.12 (v129(constB140, bitIndex1) | (~v100(constB140))),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20121, 814, 20789])).
% 34.52/23.12 tff(20791,plain,
% 34.52/23.12 (v129(constB140, bitIndex1)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20790, 20742])).
% 34.52/23.12 tff(20792,plain,
% 34.52/23.12 (v127(constB139, bitIndex1)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20114, 20791])).
% 34.52/23.12 tff(20793,plain,
% 34.52/23.12 ((~v127(constB139, bitIndex1)) | v130(constB139, bitIndex1)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20108, 781, 20757])).
% 34.52/23.12 tff(20794,plain,
% 34.52/23.12 (v130(constB139, bitIndex1)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20793, 20792])).
% 34.52/23.12 tff(20795,plain,
% 34.52/23.12 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB139, bitIndex1)) | v124(constB139) | v123(constB139) | v122(constB139) | v121(constB139) | v120(constB139) | v119(constB139))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB139, bitIndex1)) | v124(constB139) | v123(constB139) | v122(constB139) | v121(constB139) | v120(constB139) | v119(constB139))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20796,plain,
% 34.52/23.12 ((v120(constB139) | v119(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, bitIndex1))) <=> ((~v130(constB139, bitIndex1)) | v124(constB139) | v123(constB139) | v122(constB139) | v121(constB139) | v120(constB139) | v119(constB139))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20797,plain,
% 34.52/23.12 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB139) | v119(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB139, bitIndex1)) | v124(constB139) | v123(constB139) | v122(constB139) | v121(constB139) | v120(constB139) | v119(constB139)))),
% 34.52/23.12 inference(monotonicity,[status(thm)],[20796])).
% 34.52/23.12 tff(20798,plain,
% 34.52/23.12 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB139) | v119(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB139, bitIndex1)) | v124(constB139) | v123(constB139) | v122(constB139) | v121(constB139) | v120(constB139) | v119(constB139))),
% 34.52/23.12 inference(transitivity,[status(thm)],[20797, 20795])).
% 34.52/23.12 tff(20799,plain,
% 34.52/23.12 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB139) | v119(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, bitIndex1)))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20800,plain,
% 34.52/23.12 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB139, bitIndex1)) | v124(constB139) | v123(constB139) | v122(constB139) | v121(constB139) | v120(constB139) | v119(constB139)),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20799, 20798])).
% 34.52/23.12 tff(20801,plain,
% 34.52/23.12 (v123(constB139)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20800, 2448, 20794, 20788, 20784, 20783, 20773, 20769])).
% 34.52/23.12 tff(20802,plain,
% 34.52/23.12 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB139)) | (~v130(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB139)) | (~v130(constB139, bitIndex1)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20803,plain,
% 34.52/23.12 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB139)) | (~v130(constB139, bitIndex1)))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20804,plain,
% 34.52/23.12 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB139)) | (~v130(constB139, bitIndex1))),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20803, 20802])).
% 34.52/23.12 tff(20805,plain,
% 34.52/23.12 ($false),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20804, 1909, 20794, 20801])).
% 34.52/23.12 tff(20806,plain,((~v100(constB140)) | v26(constB139) | (~v90(constB140, bitIndex1)) | (~v90(constB140, bitIndex2)) | (~v90(constB140, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.52/23.12 tff(20807,plain,
% 34.52/23.12 ((~v100(constB140)) | (~v90(constB140, bitIndex1)) | (~v90(constB140, bitIndex2)) | (~v90(constB140, bitIndex0))),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20806, 19994])).
% 34.52/23.12 tff(20808,plain,
% 34.52/23.12 (~v100(constB140)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20807, 20721, 20741, 20731])).
% 34.52/23.12 tff(20809,plain,
% 34.52/23.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex2)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20810,plain,
% 34.52/23.12 (((~nextState(constB139, constB140)) | v90(constB139, bitIndex2) | v100(constB140) | (~v90(constB140, bitIndex2))) <=> (v90(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex2)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20811,plain,
% 34.52/23.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v90(constB139, bitIndex2) | v100(constB140) | (~v90(constB140, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex2))))),
% 34.52/23.12 inference(monotonicity,[status(thm)],[20810])).
% 34.52/23.12 tff(20812,plain,
% 34.52/23.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v90(constB139, bitIndex2) | v100(constB140) | (~v90(constB140, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex2)))),
% 34.52/23.12 inference(transitivity,[status(thm)],[20811, 20809])).
% 34.52/23.12 tff(20813,plain,
% 34.52/23.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v90(constB139, bitIndex2) | v100(constB140) | (~v90(constB140, bitIndex2)))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20814,plain,
% 34.52/23.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex2))),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20813, 20812])).
% 34.52/23.12 tff(20815,plain,
% 34.52/23.12 (v90(constB139, bitIndex2) | v100(constB140) | (~v90(constB140, bitIndex2))),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20814, 413, 20009])).
% 34.52/23.12 tff(20816,plain,
% 34.52/23.12 (v90(constB139, bitIndex2)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20815, 20808, 20721])).
% 34.52/23.12 tff(20817,plain,
% 34.52/23.12 (v90(constB138, bitIndex2)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[19903, 20816])).
% 34.52/23.12 tff(20818,plain,
% 34.52/23.12 (v129(constB138, bitIndex2)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[19876, 20817])).
% 34.52/23.12 tff(20819,plain,
% 34.52/23.12 (v127(constB137, bitIndex2)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[19793, 20818])).
% 34.52/23.12 tff(20820,plain,
% 34.52/23.12 (v26(constB137)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[19785, 20819])).
% 34.52/23.12 tff(20821,plain,
% 34.52/23.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex0)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20822,plain,
% 34.52/23.12 (((~nextState(constB139, constB140)) | v90(constB139, bitIndex0) | v100(constB140) | (~v90(constB140, bitIndex0))) <=> (v90(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex0)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20823,plain,
% 34.52/23.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v90(constB139, bitIndex0) | v100(constB140) | (~v90(constB140, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex0))))),
% 34.52/23.12 inference(monotonicity,[status(thm)],[20822])).
% 34.52/23.12 tff(20824,plain,
% 34.52/23.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v90(constB139, bitIndex0) | v100(constB140) | (~v90(constB140, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex0)))),
% 34.52/23.12 inference(transitivity,[status(thm)],[20823, 20821])).
% 34.52/23.12 tff(20825,plain,
% 34.52/23.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v90(constB139, bitIndex0) | v100(constB140) | (~v90(constB140, bitIndex0)))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20826,plain,
% 34.52/23.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex0))),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20825, 20824])).
% 34.52/23.12 tff(20827,plain,
% 34.52/23.12 (v90(constB139, bitIndex0) | v100(constB140) | (~v90(constB140, bitIndex0))),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20826, 455, 20009])).
% 34.52/23.12 tff(20828,plain,
% 34.52/23.12 (v90(constB139, bitIndex0)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20827, 20808, 20731])).
% 34.52/23.12 tff(20829,plain,
% 34.52/23.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20830,plain,
% 34.52/23.12 (((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0))) <=> (v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20831,plain,
% 34.52/23.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0))))),
% 34.52/23.12 inference(monotonicity,[status(thm)],[20830])).
% 34.52/23.12 tff(20832,plain,
% 34.52/23.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 34.52/23.12 inference(transitivity,[status(thm)],[20831, 20829])).
% 34.52/23.12 tff(20833,plain,
% 34.52/23.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20834,plain,
% 34.52/23.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0))),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20833, 20832])).
% 34.52/23.12 tff(20835,plain,
% 34.52/23.12 (v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0))),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20834, 455, 19883])).
% 34.52/23.12 tff(20836,plain,
% 34.52/23.12 (v90(constB138, bitIndex0) | (~v90(constB139, bitIndex0))),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20835, 19895])).
% 34.52/23.12 tff(20837,plain,
% 34.52/23.12 (v90(constB138, bitIndex0)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20836, 20828])).
% 34.52/23.12 tff(20838,plain,
% 34.52/23.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20839,plain,
% 34.52/23.12 (((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0)) <=> ((~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20840,plain,
% 34.52/23.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138))))),
% 34.52/23.12 inference(monotonicity,[status(thm)],[20839])).
% 34.52/23.12 tff(20841,plain,
% 34.52/23.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))),
% 34.52/23.12 inference(transitivity,[status(thm)],[20840, 20838])).
% 34.52/23.12 tff(20842,plain,
% 34.52/23.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20843,plain,
% 34.52/23.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138))),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20842, 20841])).
% 34.52/23.12 tff(20844,plain,
% 34.52/23.12 ((~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20843, 1215, 19869])).
% 34.52/23.12 tff(20845,plain,
% 34.52/23.12 (v129(constB138, bitIndex0)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20844, 20837])).
% 34.52/23.12 tff(20846,plain,
% 34.52/23.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20847,plain,
% 34.52/23.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0)))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20848,plain,
% 34.52/23.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0))),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20847, 20846])).
% 34.52/23.12 tff(20849,plain,
% 34.52/23.12 (v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0))),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20848, 1200, 19789])).
% 34.52/23.12 tff(20850,plain,
% 34.52/23.12 (v127(constB137, bitIndex0)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20849, 20845])).
% 34.52/23.12 tff(20851,plain,
% 34.52/23.12 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB137)) | (~v127(constB137, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB137)) | (~v127(constB137, bitIndex0)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20852,plain,
% 34.52/23.12 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB137)) | (~v127(constB137, bitIndex0)))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20853,plain,
% 34.52/23.12 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB137)) | (~v127(constB137, bitIndex0))),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20852, 20851])).
% 34.52/23.12 tff(20854,plain,
% 34.52/23.12 ($false),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20853, 3012, 20850, 20820])).
% 34.52/23.12 tff(20855,plain,(v100(constB142) | (~v90(constB142, bitIndex2)) | (~v90(constB142, bitIndex1)) | (~v90(constB142, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.52/23.12 tff(20856,plain,
% 34.52/23.12 (v100(constB142)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20855, 20702, 20695, 20686])).
% 34.52/23.12 tff(20857,plain,
% 34.52/23.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | v129(constB142, bitIndex2) | (~v100(constB142)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | v129(constB142, bitIndex2) | (~v100(constB142)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20858,plain,
% 34.52/23.12 (((~v90(constB142, bitIndex2)) | (~v100(constB142)) | v129(constB142, bitIndex2)) <=> ((~v90(constB142, bitIndex2)) | v129(constB142, bitIndex2) | (~v100(constB142)))),
% 34.52/23.12 inference(rewrite,[status(thm)],[])).
% 34.52/23.12 tff(20859,plain,
% 34.52/23.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~v100(constB142)) | v129(constB142, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | v129(constB142, bitIndex2) | (~v100(constB142))))),
% 34.52/23.12 inference(monotonicity,[status(thm)],[20858])).
% 34.52/23.12 tff(20860,plain,
% 34.52/23.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~v100(constB142)) | v129(constB142, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | v129(constB142, bitIndex2) | (~v100(constB142)))),
% 34.52/23.12 inference(transitivity,[status(thm)],[20859, 20857])).
% 34.52/23.12 tff(20861,plain,
% 34.52/23.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~v100(constB142)) | v129(constB142, bitIndex2))),
% 34.52/23.12 inference(quant_inst,[status(thm)],[])).
% 34.52/23.12 tff(20862,plain,
% 34.52/23.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | v129(constB142, bitIndex2) | (~v100(constB142))),
% 34.52/23.12 inference(modus_ponens,[status(thm)],[20861, 20860])).
% 34.52/23.12 tff(20863,plain,
% 34.52/23.12 (v129(constB142, bitIndex2) | (~v100(constB142))),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20862, 722, 20695])).
% 34.52/23.12 tff(20864,plain,
% 34.52/23.12 (v129(constB142, bitIndex2)),
% 34.52/23.12 inference(unit_resolution,[status(thm)],[20863, 20856])).
% 34.52/23.12 tff(20865,plain,
% 34.52/23.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex2) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex2) | (~v129(constB142, bitIndex2)))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20866,plain,
% 34.52/23.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex2) | (~v129(constB142, bitIndex2)))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20867,plain,
% 34.52/23.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex2) | (~v129(constB142, bitIndex2))),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20866, 20865])).
% 34.52/23.13 tff(20868,plain,
% 34.52/23.13 (v127(constB141, bitIndex2) | (~v129(constB142, bitIndex2))),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20867, 707, 20201])).
% 34.52/23.13 tff(20869,plain,
% 34.52/23.13 (v127(constB141, bitIndex2)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20868, 20864])).
% 34.52/23.13 tff(20870,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB141, bitIndex2)) | v26(constB141) | v130(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB141, bitIndex2)) | v26(constB141) | v130(constB141, bitIndex2))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20871,plain,
% 34.52/23.13 ((v26(constB141) | v130(constB141, bitIndex2) | (~v127(constB141, bitIndex2))) <=> ((~v127(constB141, bitIndex2)) | v26(constB141) | v130(constB141, bitIndex2))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20872,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB141) | v130(constB141, bitIndex2) | (~v127(constB141, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB141, bitIndex2)) | v26(constB141) | v130(constB141, bitIndex2)))),
% 34.52/23.13 inference(monotonicity,[status(thm)],[20871])).
% 34.52/23.13 tff(20873,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB141) | v130(constB141, bitIndex2) | (~v127(constB141, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB141, bitIndex2)) | v26(constB141) | v130(constB141, bitIndex2))),
% 34.52/23.13 inference(transitivity,[status(thm)],[20872, 20870])).
% 34.52/23.13 tff(20874,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB141) | v130(constB141, bitIndex2) | (~v127(constB141, bitIndex2)))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20875,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB141, bitIndex2)) | v26(constB141) | v130(constB141, bitIndex2)),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20874, 20873])).
% 34.52/23.13 tff(20876,plain,
% 34.52/23.13 ((~v127(constB141, bitIndex2)) | v130(constB141, bitIndex2)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20875, 689, 20186])).
% 34.52/23.13 tff(20877,plain,
% 34.52/23.13 (v130(constB141, bitIndex2)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20876, 20869])).
% 34.52/23.13 tff(20878,plain,
% 34.52/23.13 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB141)) | (~v130(constB141, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB141)) | (~v130(constB141, bitIndex2)))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20879,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB141)) | (~v130(constB141, bitIndex2)))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20880,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB141)) | (~v130(constB141, bitIndex2))),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20879, 20878])).
% 34.52/23.13 tff(20881,plain,
% 34.52/23.13 (~v119(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20880, 675, 20877])).
% 34.52/23.13 tff(20882,plain,
% 34.52/23.13 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB141)) | (~v130(constB141, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB141)) | (~v130(constB141, bitIndex2)))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20883,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB141)) | (~v130(constB141, bitIndex2)))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20884,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB141)) | (~v130(constB141, bitIndex2))),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20883, 20882])).
% 34.52/23.13 tff(20885,plain,
% 34.52/23.13 (~v121(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20884, 1342, 20877])).
% 34.52/23.13 tff(20886,plain,
% 34.52/23.13 (v90(constB144, bitIndex0)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20485, 20677, 20381])).
% 34.52/23.13 tff(20887,plain,
% 34.52/23.13 ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v124(constB143)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20358, 1994, 20662])).
% 34.52/23.13 tff(20888,plain,
% 34.52/23.13 (v124(constB143)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20887, 20478, 20632])).
% 34.52/23.13 tff(20889,plain,
% 34.52/23.13 (v114(constB143)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20698, 2005, 20888])).
% 34.52/23.13 tff(20890,plain,
% 34.52/23.13 ($false),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20440, 542, 20433, 20889])).
% 34.52/23.13 tff(20891,plain,(v100(constB144) | (~v90(constB143, bitIndex2)) | v90(constB144, bitIndex1) | (~v90(constB144, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.52/23.13 tff(20892,plain,
% 34.52/23.13 (v90(constB144, bitIndex1)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20891, 20886, 20381, 20661])).
% 34.52/23.13 tff(20893,plain,
% 34.52/23.13 (v90(constB144, bitIndex2)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20466, 20661, 20381])).
% 34.52/23.13 tff(20894,assumption,(~v130(constB141, bitIndex0)), introduced(assumption)).
% 34.52/23.13 tff(20895,assumption,(~v114(constB141)), introduced(assumption)).
% 34.52/23.13 tff(20896,plain,
% 34.52/23.13 (~v115(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20177, 531, 20895])).
% 34.52/23.13 tff(20897,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB141) | (~v116(constB141)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB141) | (~v116(constB141)))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20898,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB141) | (~v116(constB141)))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20899,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB141) | (~v116(constB141))),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20898, 20897])).
% 34.52/23.13 tff(20900,plain,
% 34.52/23.13 (~v116(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20899, 520, 20896])).
% 34.52/23.13 tff(20901,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB141) | (~v117(constB141)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB141) | (~v117(constB141)))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20902,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB141) | (~v117(constB141)))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20903,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB141) | (~v117(constB141))),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20902, 20901])).
% 34.52/23.13 tff(20904,plain,
% 34.52/23.13 (~v117(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20903, 509, 20900])).
% 34.52/23.13 tff(20905,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB141) | (~v118(constB141)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB141) | (~v118(constB141)))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20906,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB141) | (~v118(constB141)))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20907,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB141) | (~v118(constB141))),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20906, 20905])).
% 34.52/23.13 tff(20908,plain,
% 34.52/23.13 (~v118(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20907, 498, 20904])).
% 34.52/23.13 tff(20909,plain,
% 34.52/23.13 (~v123(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20327, 1953, 20894])).
% 34.52/23.13 tff(20910,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB141) | (~v124(constB141)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB141) | (~v124(constB141)))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20911,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB141) | (~v124(constB141)))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20912,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB141) | (~v124(constB141))),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20911, 20910])).
% 34.52/23.13 tff(20913,plain,
% 34.52/23.13 (~v124(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20912, 2005, 20895])).
% 34.52/23.13 tff(20914,plain,
% 34.52/23.13 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB141)) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB141)) | v130(constB141, bitIndex0))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20915,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB141)) | v130(constB141, bitIndex0))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20916,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB141)) | v130(constB141, bitIndex0)),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20915, 20914])).
% 34.52/23.13 tff(20917,plain,
% 34.52/23.13 (~v121(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20916, 1445, 20894])).
% 34.52/23.13 tff(20918,plain,
% 34.52/23.13 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB141)) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB141)) | v130(constB141, bitIndex0))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20919,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB141)) | v130(constB141, bitIndex0))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20920,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB141)) | v130(constB141, bitIndex0)),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20919, 20918])).
% 34.52/23.13 tff(20921,plain,
% 34.52/23.13 (~v119(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20920, 841, 20894])).
% 34.52/23.13 tff(20922,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB141) | (~v122(constB141)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB141) | (~v122(constB141)))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20923,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB141) | (~v122(constB141)))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20924,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB141) | (~v122(constB141))),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20923, 20922])).
% 34.52/23.13 tff(20925,plain,
% 34.52/23.13 (~v122(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20924, 1497, 20900])).
% 34.52/23.13 tff(20926,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB141, bitIndex0) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB141, bitIndex0) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20927,plain,
% 34.52/23.13 ((v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | v130(constB141, bitIndex0)) <=> (v130(constB141, bitIndex0) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20928,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB141, bitIndex0) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141)))),
% 34.52/23.13 inference(monotonicity,[status(thm)],[20927])).
% 34.52/23.13 tff(20929,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB141, bitIndex0) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141))),
% 34.52/23.13 inference(transitivity,[status(thm)],[20928, 20926])).
% 34.52/23.13 tff(20930,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | v130(constB141, bitIndex0))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20931,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB141, bitIndex0) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141)),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20930, 20929])).
% 34.52/23.13 tff(20932,plain,
% 34.52/23.13 (v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20931, 2495, 20894])).
% 34.52/23.13 tff(20933,plain,
% 34.52/23.13 (v120(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20932, 20925, 20921, 20917, 20913, 20909])).
% 34.52/23.13 tff(20934,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB141) | (~v120(constB141)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB141) | (~v120(constB141)))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20935,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB141) | (~v120(constB141)))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20936,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB141) | (~v120(constB141))),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20935, 20934])).
% 34.52/23.13 tff(20937,plain,
% 34.52/23.13 ($false),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20936, 936, 20933, 20908])).
% 34.52/23.13 tff(20938,plain,(v114(constB141) | v130(constB141, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.52/23.13 tff(20939,plain,
% 34.52/23.13 (v114(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20938, 20894])).
% 34.52/23.13 tff(20940,plain,
% 34.52/23.13 (v113(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20181, 542, 20939])).
% 34.52/23.13 tff(20941,plain,
% 34.52/23.13 (v112(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20193, 20940])).
% 34.52/23.13 tff(20942,plain,
% 34.52/23.13 (v108(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20197, 568, 20941])).
% 34.52/23.13 tff(20943,plain,
% 34.52/23.13 (v110(constB142)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20208, 20942])).
% 34.52/23.13 tff(20944,plain,
% 34.52/23.13 (v100(constB142)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20240, 20943])).
% 34.52/23.13 tff(20945,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20946,plain,
% 34.52/23.13 ((v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0))) <=> ((~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20947,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0)))),
% 34.52/23.13 inference(monotonicity,[status(thm)],[20946])).
% 34.52/23.13 tff(20948,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))),
% 34.52/23.13 inference(transitivity,[status(thm)],[20947, 20945])).
% 34.52/23.13 tff(20949,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0)))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20950,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0)),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20949, 20948])).
% 34.52/23.13 tff(20951,plain,
% 34.52/23.13 ((~v127(constB141, bitIndex0)) | v130(constB141, bitIndex0)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20950, 1182, 20186])).
% 34.52/23.13 tff(20952,plain,
% 34.52/23.13 (~v127(constB141, bitIndex0)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20951, 20894])).
% 34.52/23.13 tff(20953,assumption,(v90(constB144, bitIndex2)), introduced(assumption)).
% 34.52/23.13 tff(20954,assumption,(v114(constB141)), introduced(assumption)).
% 34.52/23.13 tff(20955,plain,
% 34.52/23.13 (v113(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20181, 542, 20954])).
% 34.52/23.13 tff(20956,plain,
% 34.52/23.13 (v112(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20193, 20955])).
% 34.52/23.13 tff(20957,plain,
% 34.52/23.13 (v108(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20197, 568, 20956])).
% 34.52/23.13 tff(20958,plain,
% 34.52/23.13 (v110(constB142)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20208, 20957])).
% 34.52/23.13 tff(20959,plain,
% 34.52/23.13 (v100(constB142)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20240, 20958])).
% 34.52/23.13 tff(20960,assumption,(~v127(constB141, bitIndex2)), introduced(assumption)).
% 34.52/23.13 tff(20961,plain,
% 34.52/23.13 (~v129(constB142, bitIndex2)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20868, 20960])).
% 34.52/23.13 tff(20962,plain,
% 34.52/23.13 ((~v90(constB142, bitIndex2)) | (~v100(constB142))),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20862, 722, 20961])).
% 34.52/23.13 tff(20963,plain,
% 34.52/23.13 (~v90(constB142, bitIndex2)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20962, 20959])).
% 34.52/23.13 tff(20964,plain,
% 34.52/23.13 (~v90(constB143, bitIndex2)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20694, 20963])).
% 34.52/23.13 tff(20965,assumption,(~v127(constB141, bitIndex0)), introduced(assumption)).
% 34.52/23.13 tff(20966,assumption,(~v26(constB141)), introduced(assumption)).
% 34.52/23.13 tff(20967,plain,
% 34.52/23.13 (v26(constB141) | (~v130(constB141, bitIndex2))),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20248, 1592, 20960])).
% 34.52/23.13 tff(20968,plain,
% 34.52/23.13 (~v130(constB141, bitIndex2)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20967, 20966])).
% 34.52/23.13 tff(20969,plain,
% 34.52/23.13 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB141)) | v130(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB141)) | v130(constB141, bitIndex2))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20970,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB141)) | v130(constB141, bitIndex2))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20971,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB141)) | v130(constB141, bitIndex2)),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20970, 20969])).
% 34.52/23.13 tff(20972,plain,
% 34.52/23.13 (~v122(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20971, 1578, 20968])).
% 34.52/23.13 tff(20973,plain,
% 34.52/23.13 (~v123(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20244, 1850, 20968])).
% 34.52/23.13 tff(20974,assumption,(~v127(constB141, bitIndex1)), introduced(assumption)).
% 34.52/23.13 tff(20975,plain,
% 34.52/23.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB141) | (~v130(constB141, bitIndex1)) | v127(constB141, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB141) | (~v130(constB141, bitIndex1)) | v127(constB141, bitIndex1))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20976,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB141) | (~v130(constB141, bitIndex1)) | v127(constB141, bitIndex1))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20977,plain,
% 34.52/23.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB141) | (~v130(constB141, bitIndex1)) | v127(constB141, bitIndex1)),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20976, 20975])).
% 34.52/23.13 tff(20978,plain,
% 34.52/23.13 (v26(constB141) | (~v130(constB141, bitIndex1))),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20977, 1101, 20974])).
% 34.52/23.13 tff(20979,plain,
% 34.52/23.13 (~v130(constB141, bitIndex1)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20978, 20966])).
% 34.52/23.13 tff(20980,plain,
% 34.52/23.13 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB141)) | v130(constB141, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB141)) | v130(constB141, bitIndex1))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20981,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB141)) | v130(constB141, bitIndex1))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20982,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB141)) | v130(constB141, bitIndex1)),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20981, 20980])).
% 34.52/23.13 tff(20983,plain,
% 34.52/23.13 (~v120(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20982, 1087, 20979])).
% 34.52/23.13 tff(20984,plain,
% 34.52/23.13 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB141)) | v130(constB141, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB141)) | v130(constB141, bitIndex1))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20985,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB141)) | v130(constB141, bitIndex1))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20986,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB141)) | v130(constB141, bitIndex1)),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20985, 20984])).
% 34.52/23.13 tff(20987,plain,
% 34.52/23.13 (~v121(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20986, 1404, 20979])).
% 34.52/23.13 tff(20988,plain,
% 34.52/23.13 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB141)) | v130(constB141, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB141)) | v130(constB141, bitIndex1))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20989,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB141)) | v130(constB141, bitIndex1))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(20990,plain,
% 34.52/23.13 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB141)) | v130(constB141, bitIndex1)),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20989, 20988])).
% 34.52/23.13 tff(20991,plain,
% 34.52/23.13 (~v124(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20990, 2145, 20979])).
% 34.52/23.13 tff(20992,plain,
% 34.52/23.13 (v26(constB141) | (~v130(constB141, bitIndex0))),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20331, 855, 20965])).
% 34.52/23.13 tff(20993,plain,
% 34.52/23.13 (~v130(constB141, bitIndex0)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20992, 20966])).
% 34.52/23.13 tff(20994,plain,
% 34.52/23.13 (v119(constB141)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20931, 2495, 20993, 20991, 20987, 20983, 20973, 20972])).
% 34.52/23.13 tff(20995,plain,
% 34.52/23.13 ($false),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20920, 841, 20993, 20994])).
% 34.52/23.13 tff(20996,plain,(v26(constB141) | v127(constB141, bitIndex0) | v127(constB141, bitIndex2) | v127(constB141, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 34.52/23.13 tff(20997,plain,
% 34.52/23.13 (v127(constB141, bitIndex1)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[20996, 20960, 20186, 20965])).
% 34.52/23.13 tff(20998,plain,
% 34.52/23.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex1)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex1)) | v129(constB142, bitIndex1))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(20999,plain,
% 34.52/23.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex1)) | v129(constB142, bitIndex1))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(21000,plain,
% 34.52/23.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex1)) | v129(constB142, bitIndex1)),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[20999, 20998])).
% 34.52/23.13 tff(21001,plain,
% 34.52/23.13 ((~v127(constB141, bitIndex1)) | v129(constB142, bitIndex1)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[21000, 1116, 20201])).
% 34.52/23.13 tff(21002,plain,
% 34.52/23.13 (v129(constB142, bitIndex1)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[21001, 20997])).
% 34.52/23.13 tff(21003,plain,
% 34.52/23.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~v129(constB142, bitIndex1)) | (~v100(constB142)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~v129(constB142, bitIndex1)) | (~v100(constB142)))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(21004,plain,
% 34.52/23.13 ((v90(constB142, bitIndex1) | (~v100(constB142)) | (~v129(constB142, bitIndex1))) <=> (v90(constB142, bitIndex1) | (~v129(constB142, bitIndex1)) | (~v100(constB142)))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(21005,plain,
% 34.52/23.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~v100(constB142)) | (~v129(constB142, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~v129(constB142, bitIndex1)) | (~v100(constB142))))),
% 34.52/23.13 inference(monotonicity,[status(thm)],[21004])).
% 34.52/23.13 tff(21006,plain,
% 34.52/23.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~v100(constB142)) | (~v129(constB142, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~v129(constB142, bitIndex1)) | (~v100(constB142)))),
% 34.52/23.13 inference(transitivity,[status(thm)],[21005, 21003])).
% 34.52/23.13 tff(21007,plain,
% 34.52/23.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~v100(constB142)) | (~v129(constB142, bitIndex1)))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(21008,plain,
% 34.52/23.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~v129(constB142, bitIndex1)) | (~v100(constB142))),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[21007, 21006])).
% 34.52/23.13 tff(21009,plain,
% 34.52/23.13 (v90(constB142, bitIndex1) | (~v100(constB142))),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[21008, 1131, 21002])).
% 34.52/23.13 tff(21010,plain,
% 34.52/23.13 (v90(constB142, bitIndex1)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[21009, 20959])).
% 34.52/23.13 tff(21011,plain,
% 34.52/23.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex1))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(21012,plain,
% 34.52/23.13 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex1)) | v100(constB143) | v90(constB143, bitIndex1)) <=> ((~v90(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex1))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(21013,plain,
% 34.52/23.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex1)) | v100(constB143) | v90(constB143, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex1)))),
% 34.52/23.13 inference(monotonicity,[status(thm)],[21012])).
% 34.52/23.13 tff(21014,plain,
% 34.52/23.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex1)) | v100(constB143) | v90(constB143, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex1))),
% 34.52/23.13 inference(transitivity,[status(thm)],[21013, 21011])).
% 34.52/23.13 tff(21015,plain,
% 34.52/23.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex1)) | v100(constB143) | v90(constB143, bitIndex1))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(21016,plain,
% 34.52/23.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex1)),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[21015, 21014])).
% 34.52/23.13 tff(21017,plain,
% 34.52/23.13 ((~v90(constB142, bitIndex1)) | v100(constB143) | v90(constB143, bitIndex1)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[21016, 1149, 20269])).
% 34.52/23.13 tff(21018,plain,
% 34.52/23.13 ((~v90(constB142, bitIndex1)) | v90(constB143, bitIndex1)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[21017, 20281])).
% 34.52/23.13 tff(21019,plain,
% 34.52/23.13 (v90(constB143, bitIndex1)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[21018, 21010])).
% 34.52/23.13 tff(21020,plain,
% 34.52/23.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0)))),
% 34.52/23.13 inference(rewrite,[status(thm)],[])).
% 34.52/23.13 tff(21021,plain,
% 34.52/23.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0)))),
% 34.52/23.13 inference(quant_inst,[status(thm)],[])).
% 34.52/23.13 tff(21022,plain,
% 34.52/23.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0))),
% 34.52/23.13 inference(modus_ponens,[status(thm)],[21021, 21020])).
% 34.52/23.13 tff(21023,plain,
% 34.52/23.13 (v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0))),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[21022, 1200, 20201])).
% 34.52/23.13 tff(21024,plain,
% 34.52/23.13 (~v129(constB142, bitIndex0)),
% 34.52/23.13 inference(unit_resolution,[status(thm)],[21023, 20965])).
% 34.52/23.13 tff(21025,plain,
% 34.52/23.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21026,plain,
% 34.52/23.14 (((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0)) <=> ((~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21027,plain,
% 34.52/23.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142))))),
% 34.52/23.14 inference(monotonicity,[status(thm)],[21026])).
% 34.52/23.14 tff(21028,plain,
% 34.52/23.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))),
% 34.52/23.14 inference(transitivity,[status(thm)],[21027, 21025])).
% 34.52/23.14 tff(21029,plain,
% 34.52/23.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0))),
% 34.52/23.14 inference(quant_inst,[status(thm)],[])).
% 34.52/23.14 tff(21030,plain,
% 34.52/23.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142))),
% 34.52/23.14 inference(modus_ponens,[status(thm)],[21029, 21028])).
% 34.52/23.14 tff(21031,plain,
% 34.52/23.14 ((~v90(constB142, bitIndex0)) | (~v100(constB142))),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21030, 1215, 21024])).
% 34.52/23.14 tff(21032,plain,
% 34.52/23.14 (~v90(constB142, bitIndex0)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21031, 20959])).
% 34.52/23.14 tff(21033,plain,
% 34.52/23.14 (~v90(constB143, bitIndex0)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[20685, 21032])).
% 34.52/23.14 tff(21034,plain,
% 34.52/23.14 (v121(constB143)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[20613, 1242, 21033, 21019, 20964])).
% 34.52/23.14 tff(21035,plain,
% 34.52/23.14 (v100(constB144)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[20629, 21033, 20631])).
% 34.52/23.14 tff(21036,plain,
% 34.52/23.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | v129(constB144, bitIndex2) | (~v100(constB144)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | v129(constB144, bitIndex2) | (~v100(constB144)))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21037,plain,
% 34.52/23.14 (((~v90(constB144, bitIndex2)) | (~v100(constB144)) | v129(constB144, bitIndex2)) <=> ((~v90(constB144, bitIndex2)) | v129(constB144, bitIndex2) | (~v100(constB144)))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21038,plain,
% 34.52/23.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~v100(constB144)) | v129(constB144, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | v129(constB144, bitIndex2) | (~v100(constB144))))),
% 34.52/23.14 inference(monotonicity,[status(thm)],[21037])).
% 34.52/23.14 tff(21039,plain,
% 34.52/23.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~v100(constB144)) | v129(constB144, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | v129(constB144, bitIndex2) | (~v100(constB144)))),
% 34.52/23.14 inference(transitivity,[status(thm)],[21038, 21036])).
% 34.52/23.14 tff(21040,plain,
% 34.52/23.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~v100(constB144)) | v129(constB144, bitIndex2))),
% 34.52/23.14 inference(quant_inst,[status(thm)],[])).
% 34.52/23.14 tff(21041,plain,
% 34.52/23.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | v129(constB144, bitIndex2) | (~v100(constB144))),
% 34.52/23.14 inference(modus_ponens,[status(thm)],[21040, 21039])).
% 34.52/23.14 tff(21042,plain,
% 34.52/23.14 (v129(constB144, bitIndex2) | (~v100(constB144))),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21041, 722, 20953])).
% 34.52/23.14 tff(21043,plain,
% 34.52/23.14 (v129(constB144, bitIndex2)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21042, 21035])).
% 34.52/23.14 tff(21044,plain,
% 34.52/23.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex2) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex2) | (~v129(constB144, bitIndex2)))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21045,plain,
% 34.52/23.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex2) | (~v129(constB144, bitIndex2)))),
% 34.52/23.14 inference(quant_inst,[status(thm)],[])).
% 34.52/23.14 tff(21046,plain,
% 34.52/23.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex2) | (~v129(constB144, bitIndex2))),
% 34.52/23.14 inference(modus_ponens,[status(thm)],[21045, 21044])).
% 34.52/23.14 tff(21047,plain,
% 34.52/23.14 (v127(constB143, bitIndex2) | (~v129(constB144, bitIndex2))),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21046, 707, 20375])).
% 34.52/23.14 tff(21048,plain,
% 34.52/23.14 (v127(constB143, bitIndex2)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21047, 21043])).
% 34.52/23.14 tff(21049,plain,
% 34.52/23.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB143, bitIndex2)) | v26(constB143) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB143, bitIndex2)) | v26(constB143) | v130(constB143, bitIndex2))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21050,plain,
% 34.52/23.14 ((v26(constB143) | v130(constB143, bitIndex2) | (~v127(constB143, bitIndex2))) <=> ((~v127(constB143, bitIndex2)) | v26(constB143) | v130(constB143, bitIndex2))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21051,plain,
% 34.52/23.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB143) | v130(constB143, bitIndex2) | (~v127(constB143, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB143, bitIndex2)) | v26(constB143) | v130(constB143, bitIndex2)))),
% 34.52/23.14 inference(monotonicity,[status(thm)],[21050])).
% 34.52/23.14 tff(21052,plain,
% 34.52/23.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB143) | v130(constB143, bitIndex2) | (~v127(constB143, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB143, bitIndex2)) | v26(constB143) | v130(constB143, bitIndex2))),
% 34.52/23.14 inference(transitivity,[status(thm)],[21051, 21049])).
% 34.52/23.14 tff(21053,plain,
% 34.52/23.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB143) | v130(constB143, bitIndex2) | (~v127(constB143, bitIndex2)))),
% 34.52/23.14 inference(quant_inst,[status(thm)],[])).
% 34.52/23.14 tff(21054,plain,
% 34.52/23.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB143, bitIndex2)) | v26(constB143) | v130(constB143, bitIndex2)),
% 34.52/23.14 inference(modus_ponens,[status(thm)],[21053, 21052])).
% 34.52/23.14 tff(21055,plain,
% 34.52/23.14 ((~v127(constB143, bitIndex2)) | v130(constB143, bitIndex2)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21054, 689, 20367])).
% 34.52/23.14 tff(21056,plain,
% 34.52/23.14 (v130(constB143, bitIndex2)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21055, 21048])).
% 34.52/23.14 tff(21057,plain,
% 34.52/23.14 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB143)) | (~v130(constB143, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB143)) | (~v130(constB143, bitIndex2)))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21058,plain,
% 34.52/23.14 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB143)) | (~v130(constB143, bitIndex2)))),
% 34.52/23.14 inference(quant_inst,[status(thm)],[])).
% 34.52/23.14 tff(21059,plain,
% 34.52/23.14 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB143)) | (~v130(constB143, bitIndex2))),
% 34.52/23.14 inference(modus_ponens,[status(thm)],[21058, 21057])).
% 34.52/23.14 tff(21060,plain,
% 34.52/23.14 ($false),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21059, 1342, 21056, 21034])).
% 34.52/23.14 tff(21061,plain,(v127(constB141, bitIndex2) | (~v90(constB144, bitIndex2)) | (~v90(constB144, bitIndex0)) | (~v114(constB141)) | v127(constB141, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.52/23.14 tff(21062,plain,
% 34.52/23.14 (v127(constB141, bitIndex2)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21061, 20939, 20631, 20953, 20952])).
% 34.52/23.14 tff(21063,plain,
% 34.52/23.14 (v129(constB142, bitIndex2)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[20254, 21062])).
% 34.52/23.14 tff(21064,plain,
% 34.52/23.14 (v90(constB142, bitIndex2) | (~v100(constB142))),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[20261, 1622, 21063])).
% 34.52/23.14 tff(21065,plain,
% 34.52/23.14 (v90(constB142, bitIndex2)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21064, 20944])).
% 34.52/23.14 tff(21066,plain,
% 34.52/23.14 (v90(constB143, bitIndex2)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[20289, 21065])).
% 34.52/23.14 tff(21067,plain,
% 34.52/23.14 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB143)) | (~v90(constB143, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB143)) | (~v90(constB143, bitIndex2)))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21068,plain,
% 34.52/23.14 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB143)) | (~v90(constB143, bitIndex2)))),
% 34.52/23.14 inference(quant_inst,[status(thm)],[])).
% 34.52/23.14 tff(21069,plain,
% 34.52/23.14 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB143)) | (~v90(constB143, bitIndex2))),
% 34.52/23.14 inference(modus_ponens,[status(thm)],[21068, 21067])).
% 34.52/23.14 tff(21070,plain,
% 34.52/23.14 (~v119(constB143)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21069, 6865, 21066])).
% 34.52/23.14 tff(21071,plain,
% 34.52/23.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB143, bitIndex2)) | (~v121(constB143)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB143, bitIndex2)) | (~v121(constB143)))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21072,plain,
% 34.52/23.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB143, bitIndex2)) | (~v121(constB143)))),
% 34.52/23.14 inference(quant_inst,[status(thm)],[])).
% 34.52/23.14 tff(21073,plain,
% 34.52/23.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB143, bitIndex2)) | (~v121(constB143))),
% 34.52/23.14 inference(modus_ponens,[status(thm)],[21072, 21071])).
% 34.52/23.14 tff(21074,plain,
% 34.52/23.14 (~v121(constB143)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21073, 2216, 21066])).
% 34.52/23.14 tff(21075,plain,
% 34.52/23.14 (~v129(constB142, bitIndex0)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21023, 20952])).
% 34.52/23.14 tff(21076,plain,
% 34.52/23.14 ((~v90(constB142, bitIndex0)) | (~v100(constB142))),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21030, 1215, 21075])).
% 34.52/23.14 tff(21077,plain,
% 34.52/23.14 (~v90(constB142, bitIndex0)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21076, 20944])).
% 34.52/23.14 tff(21078,plain,
% 34.52/23.14 (~v90(constB143, bitIndex0)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[20685, 21077])).
% 34.52/23.14 tff(21079,plain,
% 34.52/23.14 (v100(constB144)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[20629, 21078, 20631])).
% 34.52/23.14 tff(21080,assumption,(v90(constB144, bitIndex1)), introduced(assumption)).
% 34.52/23.14 tff(21081,plain,
% 34.52/23.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | v129(constB144, bitIndex1) | (~v100(constB144)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | v129(constB144, bitIndex1) | (~v100(constB144)))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21082,plain,
% 34.52/23.14 (((~v90(constB144, bitIndex1)) | (~v100(constB144)) | v129(constB144, bitIndex1)) <=> ((~v90(constB144, bitIndex1)) | v129(constB144, bitIndex1) | (~v100(constB144)))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21083,plain,
% 34.52/23.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~v100(constB144)) | v129(constB144, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | v129(constB144, bitIndex1) | (~v100(constB144))))),
% 34.52/23.14 inference(monotonicity,[status(thm)],[21082])).
% 34.52/23.14 tff(21084,plain,
% 34.52/23.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~v100(constB144)) | v129(constB144, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | v129(constB144, bitIndex1) | (~v100(constB144)))),
% 34.52/23.14 inference(transitivity,[status(thm)],[21083, 21081])).
% 34.52/23.14 tff(21085,plain,
% 34.52/23.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~v100(constB144)) | v129(constB144, bitIndex1))),
% 34.52/23.14 inference(quant_inst,[status(thm)],[])).
% 34.52/23.14 tff(21086,plain,
% 34.52/23.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | v129(constB144, bitIndex1) | (~v100(constB144))),
% 34.52/23.14 inference(modus_ponens,[status(thm)],[21085, 21084])).
% 34.52/23.14 tff(21087,plain,
% 34.52/23.14 (v129(constB144, bitIndex1) | (~v100(constB144))),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21086, 814, 21080])).
% 34.52/23.14 tff(21088,plain,
% 34.52/23.14 (v129(constB144, bitIndex1)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21087, 21079])).
% 34.52/23.14 tff(21089,plain,
% 34.52/23.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex1) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex1) | (~v129(constB144, bitIndex1)))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21090,plain,
% 34.52/23.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex1) | (~v129(constB144, bitIndex1)))),
% 34.52/23.14 inference(quant_inst,[status(thm)],[])).
% 34.52/23.14 tff(21091,plain,
% 34.52/23.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex1) | (~v129(constB144, bitIndex1))),
% 34.52/23.14 inference(modus_ponens,[status(thm)],[21090, 21089])).
% 34.52/23.14 tff(21092,plain,
% 34.52/23.14 (v127(constB143, bitIndex1) | (~v129(constB144, bitIndex1))),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21091, 799, 20375])).
% 34.52/23.14 tff(21093,plain,
% 34.52/23.14 (v127(constB143, bitIndex1)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21092, 21088])).
% 34.52/23.14 tff(21094,plain,
% 34.52/23.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB143, bitIndex1)) | v26(constB143) | v130(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB143, bitIndex1)) | v26(constB143) | v130(constB143, bitIndex1))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21095,plain,
% 34.52/23.14 ((v26(constB143) | v130(constB143, bitIndex1) | (~v127(constB143, bitIndex1))) <=> ((~v127(constB143, bitIndex1)) | v26(constB143) | v130(constB143, bitIndex1))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21096,plain,
% 34.52/23.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB143) | v130(constB143, bitIndex1) | (~v127(constB143, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB143, bitIndex1)) | v26(constB143) | v130(constB143, bitIndex1)))),
% 34.52/23.14 inference(monotonicity,[status(thm)],[21095])).
% 34.52/23.14 tff(21097,plain,
% 34.52/23.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB143) | v130(constB143, bitIndex1) | (~v127(constB143, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB143, bitIndex1)) | v26(constB143) | v130(constB143, bitIndex1))),
% 34.52/23.14 inference(transitivity,[status(thm)],[21096, 21094])).
% 34.52/23.14 tff(21098,plain,
% 34.52/23.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB143) | v130(constB143, bitIndex1) | (~v127(constB143, bitIndex1)))),
% 34.52/23.14 inference(quant_inst,[status(thm)],[])).
% 34.52/23.14 tff(21099,plain,
% 34.52/23.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB143, bitIndex1)) | v26(constB143) | v130(constB143, bitIndex1)),
% 34.52/23.14 inference(modus_ponens,[status(thm)],[21098, 21097])).
% 34.52/23.14 tff(21100,plain,
% 34.52/23.14 ((~v127(constB143, bitIndex1)) | v130(constB143, bitIndex1)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21099, 781, 20367])).
% 34.52/23.14 tff(21101,plain,
% 34.52/23.14 (v130(constB143, bitIndex1)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21100, 21093])).
% 34.52/23.14 tff(21102,plain,
% 34.52/23.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB143, bitIndex2)) | (~v120(constB143)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB143, bitIndex2)) | (~v120(constB143)))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21103,plain,
% 34.52/23.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB143, bitIndex2)) | (~v120(constB143)))),
% 34.52/23.14 inference(quant_inst,[status(thm)],[])).
% 34.52/23.14 tff(21104,plain,
% 34.52/23.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB143, bitIndex2)) | (~v120(constB143))),
% 34.52/23.14 inference(modus_ponens,[status(thm)],[21103, 21102])).
% 34.52/23.14 tff(21105,plain,
% 34.52/23.14 (~v120(constB143)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21104, 6976, 21066])).
% 34.52/23.14 tff(21106,plain,
% 34.52/23.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB143, bitIndex2)) | (~v122(constB143)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB143, bitIndex2)) | (~v122(constB143)))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21107,plain,
% 34.52/23.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB143, bitIndex2)) | (~v122(constB143)))),
% 34.52/23.14 inference(quant_inst,[status(thm)],[])).
% 34.52/23.14 tff(21108,plain,
% 34.52/23.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB143, bitIndex2)) | (~v122(constB143))),
% 34.52/23.14 inference(modus_ponens,[status(thm)],[21107, 21106])).
% 34.52/23.14 tff(21109,plain,
% 34.52/23.14 (~v122(constB143)),
% 34.52/23.14 inference(unit_resolution,[status(thm)],[21108, 2131, 21066])).
% 34.52/23.14 tff(21110,plain,
% 34.52/23.14 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB143, bitIndex0) | (~v124(constB143)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB143, bitIndex0) | (~v124(constB143)))),
% 34.52/23.14 inference(rewrite,[status(thm)],[])).
% 34.52/23.14 tff(21111,plain,
% 34.52/23.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB143, bitIndex0) | (~v124(constB143)))),
% 34.52/23.14 inference(quant_inst,[status(thm)],[])).
% 34.52/23.14 tff(21112,plain,
% 34.52/23.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB143, bitIndex0) | (~v124(constB143))),
% 34.55/23.14 inference(modus_ponens,[status(thm)],[21111, 21110])).
% 34.55/23.14 tff(21113,plain,
% 34.55/23.14 (~v124(constB143)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[21112, 12932, 21078])).
% 34.55/23.14 tff(21114,plain,
% 34.55/23.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB143, bitIndex1)) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB143, bitIndex1)) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143))),
% 34.55/23.14 inference(rewrite,[status(thm)],[])).
% 34.55/23.14 tff(21115,plain,
% 34.55/23.14 ((v120(constB143) | v119(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex1))) <=> ((~v130(constB143, bitIndex1)) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143))),
% 34.55/23.14 inference(rewrite,[status(thm)],[])).
% 34.55/23.14 tff(21116,plain,
% 34.55/23.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB143) | v119(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB143, bitIndex1)) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143)))),
% 34.55/23.14 inference(monotonicity,[status(thm)],[21115])).
% 34.55/23.14 tff(21117,plain,
% 34.55/23.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB143) | v119(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB143, bitIndex1)) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143))),
% 34.55/23.14 inference(transitivity,[status(thm)],[21116, 21114])).
% 34.55/23.14 tff(21118,plain,
% 34.55/23.14 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB143) | v119(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex1)))),
% 34.55/23.14 inference(quant_inst,[status(thm)],[])).
% 34.55/23.14 tff(21119,plain,
% 34.55/23.14 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB143, bitIndex1)) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143)),
% 34.55/23.14 inference(modus_ponens,[status(thm)],[21118, 21117])).
% 34.55/23.14 tff(21120,plain,
% 34.55/23.14 (v123(constB143)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[21119, 2448, 21113, 21109, 21105, 21101, 21074, 21070])).
% 34.55/23.14 tff(21121,plain,
% 34.55/23.14 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB143)) | (~v130(constB143, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB143)) | (~v130(constB143, bitIndex1)))),
% 34.55/23.14 inference(rewrite,[status(thm)],[])).
% 34.55/23.14 tff(21122,plain,
% 34.55/23.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB143)) | (~v130(constB143, bitIndex1)))),
% 34.55/23.14 inference(quant_inst,[status(thm)],[])).
% 34.55/23.14 tff(21123,plain,
% 34.55/23.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB143)) | (~v130(constB143, bitIndex1))),
% 34.55/23.14 inference(modus_ponens,[status(thm)],[21122, 21121])).
% 34.55/23.14 tff(21124,plain,
% 34.55/23.14 ($false),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[21123, 1909, 21101, 21120])).
% 34.55/23.14 tff(21125,plain,(v130(constB141, bitIndex0) | (~v90(constB144, bitIndex1)) | (~v90(constB144, bitIndex0)) | (~v90(constB144, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 34.55/23.14 tff(21126,plain,
% 34.55/23.14 (v130(constB141, bitIndex0)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[21125, 20886, 20893, 20892])).
% 34.55/23.14 tff(21127,plain,
% 34.55/23.14 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB141)) | (~v130(constB141, bitIndex0)))),
% 34.55/23.14 inference(rewrite,[status(thm)],[])).
% 34.55/23.14 tff(21128,plain,
% 34.55/23.14 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex0)))),
% 34.55/23.14 inference(quant_inst,[status(thm)],[])).
% 34.55/23.14 tff(21129,plain,
% 34.55/23.14 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB141)) | (~v130(constB141, bitIndex0))),
% 34.55/23.14 inference(modus_ponens,[status(thm)],[21128, 21127])).
% 34.55/23.14 tff(21130,plain,
% 34.55/23.14 (~v122(constB141)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[21129, 1721, 21126])).
% 34.55/23.14 tff(21131,plain,
% 34.55/23.14 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB141)) | (~v130(constB141, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB141)) | (~v130(constB141, bitIndex0)))),
% 34.55/23.14 inference(rewrite,[status(thm)],[])).
% 34.55/23.14 tff(21132,plain,
% 34.55/23.14 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB141)) | (~v130(constB141, bitIndex0)))),
% 34.55/23.14 inference(quant_inst,[status(thm)],[])).
% 34.55/23.14 tff(21133,plain,
% 34.55/23.14 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB141)) | (~v130(constB141, bitIndex0))),
% 34.55/23.14 inference(modus_ponens,[status(thm)],[21132, 21131])).
% 34.55/23.14 tff(21134,plain,
% 34.55/23.14 (~v124(constB141)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[21133, 2277, 21126])).
% 34.55/23.14 tff(21135,assumption,(v120(constB141)), introduced(assumption)).
% 34.55/23.14 tff(21136,plain,
% 34.55/23.14 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB141)) | (~v130(constB141, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB141)) | (~v130(constB141, bitIndex0)))),
% 34.55/23.14 inference(rewrite,[status(thm)],[])).
% 34.55/23.14 tff(21137,plain,
% 34.55/23.14 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB141)) | (~v130(constB141, bitIndex0)))),
% 34.55/23.14 inference(quant_inst,[status(thm)],[])).
% 34.55/23.14 tff(21138,plain,
% 34.55/23.14 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB141)) | (~v130(constB141, bitIndex0))),
% 34.55/23.14 inference(modus_ponens,[status(thm)],[21137, 21136])).
% 34.55/23.14 tff(21139,plain,
% 34.55/23.14 (~v130(constB141, bitIndex0)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[21138, 1168, 21135])).
% 34.55/23.14 tff(21140,plain,
% 34.55/23.14 (v114(constB141)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[20938, 21139])).
% 34.55/23.14 tff(21141,plain,
% 34.55/23.14 (v113(constB141)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[20181, 542, 21140])).
% 34.55/23.14 tff(21142,plain,
% 34.55/23.14 (v112(constB141)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[20193, 21141])).
% 34.55/23.14 tff(21143,plain,
% 34.55/23.14 (v108(constB141)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[20197, 568, 21142])).
% 34.55/23.14 tff(21144,plain,
% 34.55/23.14 (v110(constB142)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[20208, 21143])).
% 34.55/23.14 tff(21145,plain,
% 34.55/23.14 (v100(constB142)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[20240, 21144])).
% 34.55/23.14 tff(21146,plain,
% 34.55/23.14 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB141)) | (~v130(constB141, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB141)) | (~v130(constB141, bitIndex2)))),
% 34.55/23.14 inference(rewrite,[status(thm)],[])).
% 34.55/23.14 tff(21147,plain,
% 34.55/23.14 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB141)) | (~v130(constB141, bitIndex2)))),
% 34.55/23.14 inference(quant_inst,[status(thm)],[])).
% 34.55/23.14 tff(21148,plain,
% 34.55/23.14 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB141)) | (~v130(constB141, bitIndex2))),
% 34.55/23.14 inference(modus_ponens,[status(thm)],[21147, 21146])).
% 34.55/23.14 tff(21149,plain,
% 34.55/23.14 (~v130(constB141, bitIndex2)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[21148, 1025, 21135])).
% 34.55/23.14 tff(21150,plain,
% 34.55/23.14 (~v127(constB141, bitIndex2)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[20876, 21149])).
% 34.55/23.14 tff(21151,plain,
% 34.55/23.14 (~v129(constB142, bitIndex2)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[20868, 21150])).
% 34.55/23.14 tff(21152,plain,
% 34.55/23.14 ((~v90(constB142, bitIndex2)) | (~v100(constB142))),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[20862, 722, 21151])).
% 34.55/23.14 tff(21153,plain,
% 34.55/23.14 (~v90(constB142, bitIndex2)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[21152, 21145])).
% 34.55/23.14 tff(21154,plain,
% 34.55/23.14 (~v90(constB143, bitIndex2)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[20694, 21153])).
% 34.55/23.14 tff(21155,plain,
% 34.55/23.14 (v130(constB141, bitIndex1)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[20982, 1087, 21135])).
% 34.55/23.14 tff(21156,plain,
% 34.55/23.14 ((~v130(constB141, bitIndex1)) | v127(constB141, bitIndex1)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[20977, 1101, 20186])).
% 34.55/23.14 tff(21157,plain,
% 34.55/23.14 (v127(constB141, bitIndex1)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[21156, 21155])).
% 34.55/23.14 tff(21158,plain,
% 34.55/23.14 (v129(constB142, bitIndex1)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[21001, 21157])).
% 34.55/23.14 tff(21159,plain,
% 34.55/23.14 (v90(constB142, bitIndex1) | (~v100(constB142))),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[21008, 1131, 21158])).
% 34.55/23.14 tff(21160,plain,
% 34.55/23.14 (v90(constB142, bitIndex1)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[21159, 21145])).
% 34.55/23.14 tff(21161,plain,
% 34.55/23.14 (v90(constB143, bitIndex1)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[21018, 21160])).
% 34.55/23.14 tff(21162,plain,
% 34.55/23.14 (~v127(constB141, bitIndex0)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[20951, 21139])).
% 34.55/23.14 tff(21163,plain,
% 34.55/23.14 (~v129(constB142, bitIndex0)),
% 34.55/23.14 inference(unit_resolution,[status(thm)],[21023, 21162])).
% 34.55/23.15 tff(21164,plain,
% 34.55/23.15 ((~v90(constB142, bitIndex0)) | (~v100(constB142))),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21030, 1215, 21163])).
% 34.55/23.15 tff(21165,plain,
% 34.55/23.15 (~v90(constB142, bitIndex0)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21164, 21145])).
% 34.55/23.15 tff(21166,plain,
% 34.55/23.15 (~v90(constB143, bitIndex0)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[20685, 21165])).
% 34.55/23.15 tff(21167,plain,
% 34.55/23.15 (v121(constB143)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[20613, 1242, 21166, 21161, 21154])).
% 34.55/23.15 tff(21168,plain,
% 34.55/23.15 (v100(constB144)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[20457, 21154, 20953])).
% 34.55/23.15 tff(21169,plain,
% 34.55/23.15 (v129(constB144, bitIndex2)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21042, 21168])).
% 34.55/23.15 tff(21170,plain,
% 34.55/23.15 (v127(constB143, bitIndex2)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21047, 21169])).
% 34.55/23.15 tff(21171,plain,
% 34.55/23.15 (v130(constB143, bitIndex2)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21055, 21170])).
% 34.55/23.15 tff(21172,plain,
% 34.55/23.15 ($false),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21059, 1342, 21171, 21167])).
% 34.55/23.15 tff(21173,plain,((~v120(constB141)) | (~v90(constB144, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 34.55/23.15 tff(21174,plain,
% 34.55/23.15 (~v120(constB141)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21173, 20893])).
% 34.55/23.15 tff(21175,plain,
% 34.55/23.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB141, bitIndex2)) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB141, bitIndex2)) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21176,plain,
% 34.55/23.15 ((v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex2))) <=> ((~v130(constB141, bitIndex2)) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21177,plain,
% 34.55/23.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB141, bitIndex2)) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141)))),
% 34.55/23.15 inference(monotonicity,[status(thm)],[21176])).
% 34.55/23.15 tff(21178,plain,
% 34.55/23.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB141, bitIndex2)) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141))),
% 34.55/23.15 inference(transitivity,[status(thm)],[21177, 21175])).
% 34.55/23.15 tff(21179,plain,
% 34.55/23.15 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex2)))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21180,plain,
% 34.55/23.15 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB141, bitIndex2)) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141)),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21179, 21178])).
% 34.55/23.15 tff(21181,plain,
% 34.55/23.15 (v119(constB141) | v121(constB141) | v123(constB141)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21180, 2244, 20877, 21174, 21134, 21130])).
% 34.55/23.15 tff(21182,plain,
% 34.55/23.15 (v123(constB141)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21181, 20885, 20881])).
% 34.55/23.15 tff(21183,plain,
% 34.55/23.15 (v129(constB142, bitIndex1)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[20313, 814, 20856, 20702])).
% 34.55/23.15 tff(21184,plain,
% 34.55/23.15 (v127(constB141, bitIndex1)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[20306, 21183])).
% 34.55/23.15 tff(21185,plain,
% 34.55/23.15 (v130(constB141, bitIndex1)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[20301, 21184])).
% 34.55/23.15 tff(21186,plain,
% 34.55/23.15 ($false),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[20293, 1909, 21185, 21182])).
% 34.55/23.15 tff(21187,plain,(v100(constB144)), inference(lemma,lemma(discharge,[]))).
% 34.55/23.15 tff(21188,plain,
% 34.55/23.15 (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1))),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[20544, 1131, 21187])).
% 34.55/23.15 tff(21189,plain,
% 34.55/23.15 (v90(constB144, bitIndex1)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21188, 20380])).
% 34.55/23.15 tff(21190,plain,
% 34.55/23.15 ((~v1(constB145)) <=> (~v1(constB145))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21191,axiom,(~v1(constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 34.55/23.15 tff(21192,plain,
% 34.55/23.15 (~v1(constB145)),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21191, 21190])).
% 34.55/23.15 tff(21193,plain,
% 34.55/23.15 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21194,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 34.55/23.15 tff(21195,plain,
% 34.55/23.15 (nextState(constB144, constB145)),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21194, 21193])).
% 34.55/23.15 tff(21196,plain,
% 34.55/23.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21197,plain,
% 34.55/23.15 (((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21198,plain,
% 34.55/23.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))))),
% 34.55/23.15 inference(monotonicity,[status(thm)],[21197])).
% 34.55/23.15 tff(21199,plain,
% 34.55/23.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 34.55/23.15 inference(transitivity,[status(thm)],[21198, 21196])).
% 34.55/23.15 tff(21200,plain,
% 34.55/23.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21201,plain,
% 34.55/23.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21200, 21199])).
% 34.55/23.15 tff(21202,plain,
% 34.55/23.15 (~v101(constB145)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21201, 381, 21195, 21192])).
% 34.55/23.15 tff(21203,plain,
% 34.55/23.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21204,plain,
% 34.55/23.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21205,plain,
% 34.55/23.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145))),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21204, 21203])).
% 34.55/23.15 tff(21206,plain,
% 34.55/23.15 (v101(constB145) | (~v100(constB145))),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21205, 398, 21195])).
% 34.55/23.15 tff(21207,plain,
% 34.55/23.15 (~v100(constB145)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21206, 21202])).
% 34.55/23.15 tff(21208,plain,
% 34.55/23.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21209,plain,
% 34.55/23.15 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)) <=> ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21210,plain,
% 34.55/23.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1)))),
% 34.55/23.15 inference(monotonicity,[status(thm)],[21209])).
% 34.55/23.15 tff(21211,plain,
% 34.55/23.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 34.55/23.15 inference(transitivity,[status(thm)],[21210, 21208])).
% 34.55/23.15 tff(21212,plain,
% 34.55/23.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21213,plain,
% 34.55/23.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1)),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21212, 21211])).
% 34.55/23.15 tff(21214,plain,
% 34.55/23.15 ((~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21213, 1149, 21195])).
% 34.55/23.15 tff(21215,plain,
% 34.55/23.15 ((~v90(constB144, bitIndex1)) | v90(constB145, bitIndex1)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21214, 21207])).
% 34.55/23.15 tff(21216,plain,
% 34.55/23.15 (v90(constB145, bitIndex1)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21215, 21189])).
% 34.55/23.15 tff(21217,plain,
% 34.55/23.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v124(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v124(constB145)))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21218,plain,
% 34.55/23.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v124(constB145)))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21219,plain,
% 34.55/23.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v124(constB145))),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21218, 21217])).
% 34.55/23.15 tff(21220,plain,
% 34.55/23.15 (~v124(constB145)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21219, 2205, 21216])).
% 34.55/23.15 tff(21221,plain,
% 34.55/23.15 (v130(constB143, bitIndex2)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[20533, 2075, 20359])).
% 34.55/23.15 tff(21222,plain,
% 34.55/23.15 ((~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[20528, 1592, 20367])).
% 34.55/23.15 tff(21223,plain,
% 34.55/23.15 (v127(constB143, bitIndex2)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21222, 21221])).
% 34.55/23.15 tff(21224,plain,
% 34.55/23.15 (v129(constB144, bitIndex2)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[20524, 21223])).
% 34.55/23.15 tff(21225,plain,
% 34.55/23.15 (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2))),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[20518, 1622, 21187])).
% 34.55/23.15 tff(21226,plain,
% 34.55/23.15 (v90(constB144, bitIndex2)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21225, 21224])).
% 34.55/23.15 tff(21227,plain,
% 34.55/23.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21228,plain,
% 34.55/23.15 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)) <=> ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21229,plain,
% 34.55/23.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2)))),
% 34.55/23.15 inference(monotonicity,[status(thm)],[21228])).
% 34.55/23.15 tff(21230,plain,
% 34.55/23.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 34.55/23.15 inference(transitivity,[status(thm)],[21229, 21227])).
% 34.55/23.15 tff(21231,plain,
% 34.55/23.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21232,plain,
% 34.55/23.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2)),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21231, 21230])).
% 34.55/23.15 tff(21233,plain,
% 34.55/23.15 ((~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21232, 1658, 21195])).
% 34.55/23.15 tff(21234,plain,
% 34.55/23.15 ((~v90(constB144, bitIndex2)) | v90(constB145, bitIndex2)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21233, 21207])).
% 34.55/23.15 tff(21235,plain,
% 34.55/23.15 (v90(constB145, bitIndex2)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21234, 21226])).
% 34.55/23.15 tff(21236,plain,
% 34.55/23.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v122(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v122(constB145)))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21237,plain,
% 34.55/23.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v122(constB145)))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21238,plain,
% 34.55/23.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v122(constB145))),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21237, 21236])).
% 34.55/23.15 tff(21239,plain,
% 34.55/23.15 (~v122(constB145)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21238, 2131, 21235])).
% 34.55/23.15 tff(21240,plain,
% 34.55/23.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v120(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v120(constB145)))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21241,plain,
% 34.55/23.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v120(constB145)))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21242,plain,
% 34.55/23.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v120(constB145))),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21241, 21240])).
% 34.55/23.15 tff(21243,plain,
% 34.55/23.15 (~v120(constB145)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21242, 2183, 21216])).
% 34.55/23.15 tff(21244,plain,
% 34.55/23.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v123(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v123(constB145)))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21245,plain,
% 34.55/23.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v123(constB145)))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21246,plain,
% 34.55/23.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v123(constB145))),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21245, 21244])).
% 34.55/23.15 tff(21247,plain,
% 34.55/23.15 (~v123(constB145)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21246, 2194, 21216])).
% 34.55/23.15 tff(21248,plain,
% 34.55/23.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v121(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v121(constB145)))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21249,plain,
% 34.55/23.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v121(constB145)))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21250,plain,
% 34.55/23.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v121(constB145))),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21249, 21248])).
% 34.55/23.15 tff(21251,plain,
% 34.55/23.15 (~v121(constB145)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21250, 2216, 21235])).
% 34.55/23.15 tff(21252,plain,
% 34.55/23.15 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21253,plain,
% 34.55/23.15 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21254,plain,
% 34.55/23.15 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1))),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21253, 21252])).
% 34.55/23.15 tff(21255,plain,
% 34.55/23.15 (~v119(constB145)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21254, 2230, 21216])).
% 34.55/23.15 tff(21256,plain,
% 34.55/23.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21257,plain,
% 34.55/23.15 ((v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1))) <=> (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21258,plain,
% 34.55/23.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1))))),
% 34.55/23.15 inference(monotonicity,[status(thm)],[21257])).
% 34.55/23.15 tff(21259,plain,
% 34.55/23.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))),
% 34.55/23.15 inference(transitivity,[status(thm)],[21258, 21256])).
% 34.55/23.15 tff(21260,plain,
% 34.55/23.15 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21261,plain,
% 34.55/23.15 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1))),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21260, 21259])).
% 34.55/23.15 tff(21262,plain,
% 34.55/23.15 (~v130(constB145, bitIndex1)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21261, 2448, 21255, 21251, 21247, 21243, 21239, 21220])).
% 34.55/23.15 tff(21263,assumption,(v26(constB145)), introduced(assumption)).
% 34.55/23.15 tff(21264,plain,
% 34.55/23.15 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB145))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21265,plain,
% 34.55/23.15 ($false),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21264, 120, 21263])).
% 34.55/23.15 tff(21266,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 34.55/23.15 tff(21267,plain,
% 34.55/23.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21268,plain,
% 34.55/23.15 ((v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1))) <=> ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21269,plain,
% 34.55/23.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)))),
% 34.55/23.15 inference(monotonicity,[status(thm)],[21268])).
% 34.55/23.15 tff(21270,plain,
% 34.55/23.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 34.55/23.15 inference(transitivity,[status(thm)],[21269, 21267])).
% 34.55/23.15 tff(21271,plain,
% 34.55/23.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21272,plain,
% 34.55/23.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21271, 21270])).
% 34.55/23.15 tff(21273,plain,
% 34.55/23.15 ((~v127(constB145, bitIndex1)) | v130(constB145, bitIndex1)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21272, 781, 21266])).
% 34.55/23.15 tff(21274,plain,
% 34.55/23.15 (~v127(constB145, bitIndex1)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21273, 21262])).
% 34.55/23.15 tff(21275,plain,
% 34.55/23.15 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21276,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 34.55/23.15 tff(21277,plain,
% 34.55/23.15 (nextState(constB145, constB146)),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21276, 21275])).
% 34.55/23.15 tff(21278,plain,
% 34.55/23.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21279,plain,
% 34.55/23.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21280,plain,
% 34.55/23.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21279, 21278])).
% 34.55/23.15 tff(21281,plain,
% 34.55/23.15 (v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21280, 799, 21277])).
% 34.55/23.15 tff(21282,plain,
% 34.55/23.15 (~v129(constB146, bitIndex1)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21281, 21274])).
% 34.55/23.15 tff(21283,plain,
% 34.55/23.15 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB143)) | (~v130(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB143)) | (~v130(constB143, bitIndex0)))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21284,plain,
% 34.55/23.15 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB143)) | (~v130(constB143, bitIndex0)))),
% 34.55/23.15 inference(quant_inst,[status(thm)],[])).
% 34.55/23.15 tff(21285,plain,
% 34.55/23.15 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB143)) | (~v130(constB143, bitIndex0))),
% 34.55/23.15 inference(modus_ponens,[status(thm)],[21284, 21283])).
% 34.55/23.15 tff(21286,plain,
% 34.55/23.15 (~v130(constB143, bitIndex0)),
% 34.55/23.15 inference(unit_resolution,[status(thm)],[21285, 2277, 20359])).
% 34.55/23.15 tff(21287,plain,
% 34.55/23.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21288,plain,
% 34.55/23.15 ((v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0))) <=> ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 34.55/23.15 inference(rewrite,[status(thm)],[])).
% 34.55/23.15 tff(21289,plain,
% 34.55/23.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)))),
% 34.55/23.16 inference(monotonicity,[status(thm)],[21288])).
% 34.55/23.16 tff(21290,plain,
% 34.55/23.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 34.55/23.16 inference(transitivity,[status(thm)],[21289, 21287])).
% 34.55/23.16 tff(21291,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21292,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21291, 21290])).
% 34.55/23.16 tff(21293,plain,
% 34.55/23.16 ((~v127(constB143, bitIndex0)) | v130(constB143, bitIndex0)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21292, 1182, 20367])).
% 34.55/23.16 tff(21294,plain,
% 34.55/23.16 (~v127(constB143, bitIndex0)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21293, 21286])).
% 34.55/23.16 tff(21295,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21296,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21297,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21296, 21295])).
% 34.55/23.16 tff(21298,plain,
% 34.55/23.16 (v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21297, 1200, 20375])).
% 34.55/23.16 tff(21299,plain,
% 34.55/23.16 (~v129(constB144, bitIndex0)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21298, 21294])).
% 34.55/23.16 tff(21300,plain,
% 34.55/23.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21301,plain,
% 34.55/23.16 (((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0)) <=> ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21302,plain,
% 34.55/23.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))))),
% 34.55/23.16 inference(monotonicity,[status(thm)],[21301])).
% 34.55/23.16 tff(21303,plain,
% 34.55/23.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 34.55/23.16 inference(transitivity,[status(thm)],[21302, 21300])).
% 34.55/23.16 tff(21304,plain,
% 34.55/23.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21305,plain,
% 34.55/23.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21304, 21303])).
% 34.55/23.16 tff(21306,plain,
% 34.55/23.16 ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21305, 1215, 21187])).
% 34.55/23.16 tff(21307,plain,
% 34.55/23.16 (~v90(constB144, bitIndex0)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21306, 21299])).
% 34.55/23.16 tff(21308,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21309,plain,
% 34.55/23.16 (((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))) <=> (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21310,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0))))),
% 34.55/23.16 inference(monotonicity,[status(thm)],[21309])).
% 34.55/23.16 tff(21311,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 34.55/23.16 inference(transitivity,[status(thm)],[21310, 21308])).
% 34.55/23.16 tff(21312,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21313,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21312, 21311])).
% 34.55/23.16 tff(21314,plain,
% 34.55/23.16 (v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21313, 455, 21195])).
% 34.55/23.16 tff(21315,plain,
% 34.55/23.16 (v90(constB144, bitIndex0) | (~v90(constB145, bitIndex0))),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21314, 21207])).
% 34.55/23.16 tff(21316,plain,
% 34.55/23.16 (~v90(constB145, bitIndex0)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21315, 21307])).
% 34.55/23.16 tff(21317,assumption,(~v100(constB146)), introduced(assumption)).
% 34.55/23.16 tff(21318,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21319,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21320,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21319, 21318])).
% 34.55/23.16 tff(21321,plain,
% 34.55/23.16 (~v104(constB146)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21320, 603, 21277, 21192])).
% 34.55/23.16 tff(21322,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21323,plain,
% 34.55/23.16 (((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146)) <=> ((~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21324,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | v102(constB146)))),
% 34.55/23.16 inference(monotonicity,[status(thm)],[21323])).
% 34.55/23.16 tff(21325,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))),
% 34.55/23.16 inference(transitivity,[status(thm)],[21324, 21322])).
% 34.55/23.16 tff(21326,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21327,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | v102(constB146)),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21326, 21325])).
% 34.55/23.16 tff(21328,plain,
% 34.55/23.16 (v104(constB146) | v102(constB146)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21327, 617, 21277])).
% 34.55/23.16 tff(21329,plain,
% 34.55/23.16 (v102(constB146)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21328, 21321])).
% 34.55/23.16 tff(21330,plain,
% 34.55/23.16 (v1(constB146) <=> v1(constB146)),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21331,axiom,(v1(constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 34.55/23.16 tff(21332,plain,
% 34.55/23.16 (v1(constB146)),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21331, 21330])).
% 34.55/23.16 tff(21333,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21334,plain,
% 34.55/23.16 (((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146))) <=> ((~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21335,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146))))),
% 34.55/23.16 inference(monotonicity,[status(thm)],[21334])).
% 34.55/23.16 tff(21336,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))),
% 34.55/23.16 inference(transitivity,[status(thm)],[21335, 21333])).
% 34.55/23.16 tff(21337,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21338,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21337, 21336])).
% 34.55/23.16 tff(21339,plain,
% 34.55/23.16 (v101(constB146) | (~v102(constB146))),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21338, 638, 21277, 21332])).
% 34.55/23.16 tff(21340,plain,
% 34.55/23.16 (v101(constB146)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21339, 21329])).
% 34.55/23.16 tff(21341,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21342,plain,
% 34.55/23.16 (((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146)) <=> ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21343,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))))),
% 34.55/23.16 inference(monotonicity,[status(thm)],[21342])).
% 34.55/23.16 tff(21344,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 34.55/23.16 inference(transitivity,[status(thm)],[21343, 21341])).
% 34.55/23.16 tff(21345,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21346,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21345, 21344])).
% 34.55/23.16 tff(21347,plain,
% 34.55/23.16 (v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21346, 656, 21277])).
% 34.55/23.16 tff(21348,plain,
% 34.55/23.16 (v100(constB146) | (~v110(constB146))),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21347, 21340])).
% 34.55/23.16 tff(21349,plain,
% 34.55/23.16 (~v110(constB146)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21348, 21317])).
% 34.55/23.16 tff(21350,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21351,plain,
% 34.55/23.16 (((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146)) <=> ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21352,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))))),
% 34.55/23.16 inference(monotonicity,[status(thm)],[21351])).
% 34.55/23.16 tff(21353,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 34.55/23.16 inference(transitivity,[status(thm)],[21352, 21350])).
% 34.55/23.16 tff(21354,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21355,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21354, 21353])).
% 34.55/23.16 tff(21356,plain,
% 34.55/23.16 (v110(constB146) | (~v108(constB145))),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21355, 585, 21277])).
% 34.55/23.16 tff(21357,plain,
% 34.55/23.16 (~v108(constB145)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21356, 21349])).
% 34.55/23.16 tff(21358,plain,
% 34.55/23.16 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB145) | (~v112(constB145)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB145) | (~v112(constB145)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21359,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB145) | (~v112(constB145)))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21360,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB145) | (~v112(constB145))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21359, 21358])).
% 34.55/23.16 tff(21361,plain,
% 34.55/23.16 (~v112(constB145)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21360, 568, 21357])).
% 34.55/23.16 tff(21362,assumption,(~v90(constB145, bitIndex0)), introduced(assumption)).
% 34.55/23.16 tff(21363,assumption,(~v90(constB146, bitIndex1)), introduced(assumption)).
% 34.55/23.16 tff(21364,assumption,(~v108(constB145)), introduced(assumption)).
% 34.55/23.16 tff(21365,plain,
% 34.55/23.16 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 34.55/23.16 inference(bind,[status(th)],[])).
% 34.55/23.16 tff(21366,plain,
% 34.55/23.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 34.55/23.16 inference(quant_intro,[status(thm)],[21365])).
% 34.55/23.16 tff(21367,plain,
% 34.55/23.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21368,plain,
% 34.55/23.16 (^[VarNext: $i, VarCurr: $i] : rewrite(((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 34.55/23.16 inference(bind,[status(th)],[])).
% 34.55/23.16 tff(21369,plain,
% 34.55/23.16 (![VarNext: $i, VarCurr: $i] : ((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 34.55/23.16 inference(quant_intro,[status(thm)],[21368])).
% 34.55/23.16 tff(21370,axiom,(![VarNext: $i, VarCurr: $i] : ((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 34.55/23.16 tff(21371,plain,
% 34.55/23.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21370, 21369])).
% 34.55/23.16 tff(21372,plain,
% 34.55/23.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21371, 21367])).
% 34.55/23.16 tff(21373,plain,(
% 34.55/23.16 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 34.55/23.16 inference(skolemize,[status(sab)],[21372])).
% 34.55/23.16 tff(21374,plain,
% 34.55/23.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21373, 21366])).
% 34.55/23.16 tff(21375,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21376,plain,
% 34.55/23.16 (((~nextState(constB145, constB146)) | v108(constB145) | (~v110(constB146))) <=> ((~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21377,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB145, constB146)) | v108(constB145) | (~v110(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145)))),
% 34.55/23.16 inference(monotonicity,[status(thm)],[21376])).
% 34.55/23.16 tff(21378,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB145, constB146)) | v108(constB145) | (~v110(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145))),
% 34.55/23.16 inference(transitivity,[status(thm)],[21377, 21375])).
% 34.55/23.16 tff(21379,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB145, constB146)) | v108(constB145) | (~v110(constB146)))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21380,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145)),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21379, 21378])).
% 34.55/23.16 tff(21381,plain,
% 34.55/23.16 ((~v110(constB146)) | v108(constB145)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21380, 21374, 21277])).
% 34.55/23.16 tff(21382,plain,
% 34.55/23.16 (~v110(constB146)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21381, 21364])).
% 34.55/23.16 tff(21383,plain,
% 34.55/23.16 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 34.55/23.16 inference(bind,[status(th)],[])).
% 34.55/23.16 tff(21384,plain,
% 34.55/23.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 34.55/23.16 inference(quant_intro,[status(thm)],[21383])).
% 34.55/23.16 tff(21385,plain,
% 34.55/23.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21386,plain,
% 34.55/23.16 (^[VarNext: $i, VarCurr: $i] : rewrite(((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 34.55/23.16 inference(bind,[status(th)],[])).
% 34.55/23.16 tff(21387,plain,
% 34.55/23.16 (![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 34.55/23.16 inference(quant_intro,[status(thm)],[21386])).
% 34.55/23.16 tff(21388,axiom,(![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 34.55/23.16 tff(21389,plain,
% 34.55/23.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21388, 21387])).
% 34.55/23.16 tff(21390,plain,
% 34.55/23.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21389, 21385])).
% 34.55/23.16 tff(21391,plain,(
% 34.55/23.16 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 34.55/23.16 inference(skolemize,[status(sab)],[21390])).
% 34.55/23.16 tff(21392,plain,
% 34.55/23.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21391, 21384])).
% 34.55/23.16 tff(21393,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v100(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v100(constB146)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21394,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v100(constB146)))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21395,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v100(constB146))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21394, 21393])).
% 34.55/23.16 tff(21396,plain,
% 34.55/23.16 (v110(constB146) | (~v100(constB146))),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21395, 21392, 21277])).
% 34.55/23.16 tff(21397,plain,
% 34.55/23.16 (~v100(constB146)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21396, 21382])).
% 34.55/23.16 tff(21398,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21399,plain,
% 34.55/23.16 (((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1)) <=> ((~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21400,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1)))),
% 34.55/23.16 inference(monotonicity,[status(thm)],[21399])).
% 34.55/23.16 tff(21401,plain,
% 34.55/23.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))),
% 34.55/23.16 inference(transitivity,[status(thm)],[21400, 21398])).
% 34.55/23.16 tff(21402,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21403,plain,
% 34.55/23.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1)),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21402, 21401])).
% 34.55/23.16 tff(21404,plain,
% 34.55/23.16 ((~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21403, 1149, 21277])).
% 34.55/23.16 tff(21405,plain,
% 34.55/23.16 (~v90(constB145, bitIndex1)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21404, 21397, 21363])).
% 34.55/23.16 tff(21406,plain,
% 34.55/23.16 (~v112(constB145)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21360, 568, 21364])).
% 34.55/23.16 tff(21407,plain,
% 34.55/23.16 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB145) | (~v26(constB145)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB145) | (~v26(constB145)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21408,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB145) | (~v26(constB145)))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21409,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB145) | (~v26(constB145))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21408, 21407])).
% 34.55/23.16 tff(21410,plain,
% 34.55/23.16 (~v26(constB145)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21409, 2348, 21364])).
% 34.55/23.16 tff(21411,plain,
% 34.55/23.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21412,plain,
% 34.55/23.16 ((v26(constB145) | (~v113(constB145)) | v112(constB145)) <=> (v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21413,plain,
% 34.55/23.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145))))),
% 34.55/23.16 inference(monotonicity,[status(thm)],[21412])).
% 34.55/23.16 tff(21414,plain,
% 34.55/23.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 34.55/23.16 inference(transitivity,[status(thm)],[21413, 21411])).
% 34.55/23.16 tff(21415,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21416,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21415, 21414])).
% 34.55/23.16 tff(21417,plain,
% 34.55/23.16 (~v113(constB145)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21416, 556, 21410, 21406])).
% 34.55/23.16 tff(21418,plain,
% 34.55/23.16 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB145) | (~v114(constB145)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB145) | (~v114(constB145)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21419,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB145) | (~v114(constB145)))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21420,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB145) | (~v114(constB145))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21419, 21418])).
% 34.55/23.16 tff(21421,plain,
% 34.55/23.16 (~v114(constB145)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21420, 542, 21417])).
% 34.55/23.16 tff(21422,plain,
% 34.55/23.16 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB145) | (~v115(constB145)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB145) | (~v115(constB145)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21423,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB145) | (~v115(constB145)))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21424,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB145) | (~v115(constB145))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21423, 21422])).
% 34.55/23.16 tff(21425,plain,
% 34.55/23.16 (~v115(constB145)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21424, 531, 21421])).
% 34.55/23.16 tff(21426,plain,
% 34.55/23.16 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB145) | (~v123(constB145)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB145) | (~v123(constB145)))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21427,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB145) | (~v123(constB145)))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21428,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB145) | (~v123(constB145))),
% 34.55/23.16 inference(modus_ponens,[status(thm)],[21427, 21426])).
% 34.55/23.16 tff(21429,plain,
% 34.55/23.16 (~v123(constB145)),
% 34.55/23.16 inference(unit_resolution,[status(thm)],[21428, 1776, 21425])).
% 34.55/23.16 tff(21430,plain,
% 34.55/23.16 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | v123(constB145))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | v123(constB145))),
% 34.55/23.16 inference(rewrite,[status(thm)],[])).
% 34.55/23.16 tff(21431,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | v123(constB145))),
% 34.55/23.16 inference(quant_inst,[status(thm)],[])).
% 34.55/23.16 tff(21432,plain,
% 34.55/23.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | v123(constB145)),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21431, 21430])).
% 34.55/23.17 tff(21433,plain,
% 34.55/23.17 (v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | v123(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21432, 1765, 21362])).
% 34.55/23.17 tff(21434,plain,
% 34.55/23.17 (~v90(constB145, bitIndex2)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21433, 21429, 21405])).
% 34.55/23.17 tff(21435,plain,
% 34.55/23.17 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB145) | v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB145) | v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21436,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB145) | v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21437,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB145) | v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21436, 21435])).
% 34.55/23.17 tff(21438,plain,
% 34.55/23.17 (v119(constB145) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21437, 476, 21362])).
% 34.55/23.17 tff(21439,plain,
% 34.55/23.17 (v119(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21438, 21434, 21405])).
% 34.55/23.17 tff(21440,plain,
% 34.55/23.17 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB145) | (~v119(constB145)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB145) | (~v119(constB145)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21441,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB145) | (~v119(constB145)))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21442,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB145) | (~v119(constB145))),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21441, 21440])).
% 34.55/23.17 tff(21443,plain,
% 34.55/23.17 (v118(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21442, 487, 21439])).
% 34.55/23.17 tff(21444,plain,
% 34.55/23.17 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB145) | (~v116(constB145)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB145) | (~v116(constB145)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21445,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB145) | (~v116(constB145)))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21446,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB145) | (~v116(constB145))),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21445, 21444])).
% 34.55/23.17 tff(21447,plain,
% 34.55/23.17 (~v116(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21446, 520, 21425])).
% 34.55/23.17 tff(21448,plain,
% 34.55/23.17 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB145) | (~v117(constB145)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB145) | (~v117(constB145)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21449,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB145) | (~v117(constB145)))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21450,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB145) | (~v117(constB145))),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21449, 21448])).
% 34.55/23.17 tff(21451,plain,
% 34.55/23.17 (~v117(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21450, 509, 21447])).
% 34.55/23.17 tff(21452,plain,
% 34.55/23.17 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB145) | (~v118(constB145)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB145) | (~v118(constB145)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21453,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB145) | (~v118(constB145)))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21454,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB145) | (~v118(constB145))),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21453, 21452])).
% 34.55/23.17 tff(21455,plain,
% 34.55/23.17 ($false),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21454, 498, 21451, 21443])).
% 34.55/23.17 tff(21456,plain,(v108(constB145) | v90(constB145, bitIndex0) | v90(constB146, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 34.55/23.17 tff(21457,plain,
% 34.55/23.17 (v90(constB146, bitIndex1)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21456, 21357, 21362])).
% 34.55/23.17 tff(21458,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex1)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21459,plain,
% 34.55/23.17 (((~nextState(constB145, constB146)) | v90(constB145, bitIndex1) | v100(constB146) | (~v90(constB146, bitIndex1))) <=> (v90(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex1)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21460,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex1) | v100(constB146) | (~v90(constB146, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex1))))),
% 34.55/23.17 inference(monotonicity,[status(thm)],[21459])).
% 34.55/23.17 tff(21461,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex1) | v100(constB146) | (~v90(constB146, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex1)))),
% 34.55/23.17 inference(transitivity,[status(thm)],[21460, 21458])).
% 34.55/23.17 tff(21462,plain,
% 34.55/23.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex1) | v100(constB146) | (~v90(constB146, bitIndex1)))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21463,plain,
% 34.55/23.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex1))),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21462, 21461])).
% 34.55/23.17 tff(21464,plain,
% 34.55/23.17 (v90(constB145, bitIndex1) | v100(constB146) | (~v90(constB146, bitIndex1))),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21463, 434, 21277])).
% 34.55/23.17 tff(21465,plain,
% 34.55/23.17 (v90(constB145, bitIndex1)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21464, 21457, 21317])).
% 34.55/23.17 tff(21466,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21467,plain,
% 34.55/23.17 (((~nextState(constB145, constB146)) | v90(constB145, bitIndex0) | v100(constB146) | (~v90(constB146, bitIndex0))) <=> (v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21468,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex0) | v100(constB146) | (~v90(constB146, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0))))),
% 34.55/23.17 inference(monotonicity,[status(thm)],[21467])).
% 34.55/23.17 tff(21469,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex0) | v100(constB146) | (~v90(constB146, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0)))),
% 34.55/23.17 inference(transitivity,[status(thm)],[21468, 21466])).
% 34.55/23.17 tff(21470,plain,
% 34.55/23.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex0) | v100(constB146) | (~v90(constB146, bitIndex0)))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21471,plain,
% 34.55/23.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0))),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21470, 21469])).
% 34.55/23.17 tff(21472,plain,
% 34.55/23.17 (v90(constB145, bitIndex0) | v100(constB146) | (~v90(constB146, bitIndex0))),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21471, 455, 21277])).
% 34.55/23.17 tff(21473,plain,
% 34.55/23.17 (~v90(constB146, bitIndex0)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21472, 21317, 21362])).
% 34.55/23.17 tff(21474,assumption,(~v90(constB146, bitIndex2)), introduced(assumption)).
% 34.55/23.17 tff(21475,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex2))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21476,plain,
% 34.55/23.17 (((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex2)) | v100(constB146) | v90(constB146, bitIndex2)) <=> ((~v90(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex2))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21477,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex2)) | v100(constB146) | v90(constB146, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex2)))),
% 34.55/23.17 inference(monotonicity,[status(thm)],[21476])).
% 34.55/23.17 tff(21478,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex2)) | v100(constB146) | v90(constB146, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex2))),
% 34.55/23.17 inference(transitivity,[status(thm)],[21477, 21475])).
% 34.55/23.17 tff(21479,plain,
% 34.55/23.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex2)) | v100(constB146) | v90(constB146, bitIndex2))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21480,plain,
% 34.55/23.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex2)),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21479, 21478])).
% 34.55/23.17 tff(21481,plain,
% 34.55/23.17 ((~v90(constB145, bitIndex2)) | v100(constB146) | v90(constB146, bitIndex2)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21480, 1658, 21277])).
% 34.55/23.17 tff(21482,plain,
% 34.55/23.17 (~v90(constB145, bitIndex2)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21481, 21317, 21474])).
% 34.55/23.17 tff(21483,assumption,(~v90(constB146, bitIndex0)), introduced(assumption)).
% 34.55/23.17 tff(21484,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex0))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21485,plain,
% 34.55/23.17 (((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex0)) | v100(constB146) | v90(constB146, bitIndex0)) <=> ((~v90(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex0))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21486,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex0)) | v100(constB146) | v90(constB146, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex0)))),
% 34.55/23.17 inference(monotonicity,[status(thm)],[21485])).
% 34.55/23.17 tff(21487,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex0)) | v100(constB146) | v90(constB146, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex0))),
% 34.55/23.17 inference(transitivity,[status(thm)],[21486, 21484])).
% 34.55/23.17 tff(21488,plain,
% 34.55/23.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex0)) | v100(constB146) | v90(constB146, bitIndex0))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21489,plain,
% 34.55/23.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex0)),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21488, 21487])).
% 34.55/23.17 tff(21490,plain,
% 34.55/23.17 ((~v90(constB145, bitIndex0)) | v100(constB146) | v90(constB146, bitIndex0)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21489, 903, 21277])).
% 34.55/23.17 tff(21491,plain,
% 34.55/23.17 (~v90(constB145, bitIndex0)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21490, 21317, 21483])).
% 34.55/23.17 tff(21492,assumption,(v90(constB146, bitIndex1)), introduced(assumption)).
% 34.55/23.17 tff(21493,plain,
% 34.55/23.17 (v90(constB145, bitIndex1)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21464, 21317, 21492])).
% 34.55/23.17 tff(21494,assumption,(v121(constB145)), introduced(assumption)).
% 34.55/23.17 tff(21495,plain,
% 34.55/23.17 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB145)) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB145)) | v130(constB145, bitIndex0))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21496,plain,
% 34.55/23.17 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB145)) | v130(constB145, bitIndex0))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21497,plain,
% 34.55/23.17 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB145)) | v130(constB145, bitIndex0)),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21496, 21495])).
% 34.55/23.17 tff(21498,plain,
% 34.55/23.17 (v130(constB145, bitIndex0)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21497, 1445, 21494])).
% 34.55/23.17 tff(21499,plain,
% 34.55/23.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21500,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21501,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21500, 21499])).
% 34.55/23.17 tff(21502,plain,
% 34.55/23.17 ((~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21501, 855, 21266])).
% 34.55/23.17 tff(21503,plain,
% 34.55/23.17 (v127(constB145, bitIndex0)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21502, 21498])).
% 34.55/23.17 tff(21504,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21505,plain,
% 34.55/23.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21506,plain,
% 34.55/23.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21505, 21504])).
% 34.55/23.17 tff(21507,plain,
% 34.55/23.17 ((~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21506, 870, 21277])).
% 34.55/23.17 tff(21508,plain,
% 34.55/23.17 (v129(constB146, bitIndex0)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21507, 21503])).
% 34.55/23.17 tff(21509,plain,
% 34.55/23.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21510,plain,
% 34.55/23.17 ((v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0))) <=> (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21511,plain,
% 34.55/23.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))))),
% 34.55/23.17 inference(monotonicity,[status(thm)],[21510])).
% 34.55/23.17 tff(21512,plain,
% 34.55/23.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 34.55/23.17 inference(transitivity,[status(thm)],[21511, 21509])).
% 34.55/23.17 tff(21513,plain,
% 34.55/23.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21514,plain,
% 34.55/23.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21513, 21512])).
% 34.55/23.17 tff(21515,plain,
% 34.55/23.17 ((~v129(constB146, bitIndex0)) | (~v100(constB146))),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21514, 885, 21483])).
% 34.55/23.17 tff(21516,plain,
% 34.55/23.17 (~v100(constB146)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21515, 21508])).
% 34.55/23.17 tff(21517,plain,
% 34.55/23.17 (~v110(constB146)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21348, 21516])).
% 34.55/23.17 tff(21518,plain,
% 34.55/23.17 (~v108(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21356, 21517])).
% 34.55/23.17 tff(21519,plain,
% 34.55/23.17 (~v112(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21360, 568, 21518])).
% 34.55/23.17 tff(21520,plain,
% 34.55/23.17 (v112(constB145) | (~v113(constB145))),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21416, 556, 21266])).
% 34.55/23.17 tff(21521,plain,
% 34.55/23.17 (~v113(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21520, 21519])).
% 34.55/23.17 tff(21522,plain,
% 34.55/23.17 (~v114(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21420, 542, 21521])).
% 34.55/23.17 tff(21523,plain,
% 34.55/23.17 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB145) | (~v121(constB145)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB145) | (~v121(constB145)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21524,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB145) | (~v121(constB145)))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21525,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB145) | (~v121(constB145))),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21524, 21523])).
% 34.55/23.17 tff(21526,plain,
% 34.55/23.17 (v117(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21525, 1253, 21494])).
% 34.55/23.17 tff(21527,plain,
% 34.55/23.17 (v116(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21450, 509, 21526])).
% 34.55/23.17 tff(21528,plain,
% 34.55/23.17 (v115(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21446, 520, 21527])).
% 34.55/23.17 tff(21529,plain,
% 34.55/23.17 ($false),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21424, 531, 21528, 21522])).
% 34.55/23.17 tff(21530,plain,((~v121(constB145)) | v90(constB146, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.55/23.17 tff(21531,plain,
% 34.55/23.17 (~v121(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21530, 21483])).
% 34.55/23.17 tff(21532,plain,
% 34.55/23.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex2) | v121(constB145))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex2) | v121(constB145))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21533,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex2) | v121(constB145))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21534,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex2) | v121(constB145)),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21533, 21532])).
% 34.55/23.17 tff(21535,plain,
% 34.55/23.17 (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex2)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21534, 1242, 21531])).
% 34.55/23.17 tff(21536,plain,
% 34.55/23.17 ($false),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21535, 21493, 21491, 21482])).
% 34.55/23.17 tff(21537,plain,(v100(constB146) | (~v90(constB146, bitIndex1)) | v90(constB146, bitIndex2) | v90(constB146, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.55/23.17 tff(21538,plain,
% 34.55/23.17 (v90(constB146, bitIndex2)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21537, 21457, 21317, 21473])).
% 34.55/23.17 tff(21539,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex2)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21540,plain,
% 34.55/23.17 (((~nextState(constB145, constB146)) | v90(constB145, bitIndex2) | v100(constB146) | (~v90(constB146, bitIndex2))) <=> (v90(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex2)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21541,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex2) | v100(constB146) | (~v90(constB146, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex2))))),
% 34.55/23.17 inference(monotonicity,[status(thm)],[21540])).
% 34.55/23.17 tff(21542,plain,
% 34.55/23.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex2) | v100(constB146) | (~v90(constB146, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex2)))),
% 34.55/23.17 inference(transitivity,[status(thm)],[21541, 21539])).
% 34.55/23.17 tff(21543,plain,
% 34.55/23.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex2) | v100(constB146) | (~v90(constB146, bitIndex2)))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21544,plain,
% 34.55/23.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex2))),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21543, 21542])).
% 34.55/23.17 tff(21545,plain,
% 34.55/23.17 (v90(constB145, bitIndex2) | v100(constB146) | (~v90(constB146, bitIndex2))),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21544, 413, 21277])).
% 34.55/23.17 tff(21546,plain,
% 34.55/23.17 (v90(constB145, bitIndex2)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21545, 21538, 21317])).
% 34.55/23.17 tff(21547,plain,
% 34.55/23.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21548,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21549,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145)),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21548, 21547])).
% 34.55/23.17 tff(21550,plain,
% 34.55/23.17 ((~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21549, 2321, 21362])).
% 34.55/23.17 tff(21551,plain,
% 34.55/23.17 (v125(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21550, 21546, 21465])).
% 34.55/23.17 tff(21552,plain,
% 34.55/23.17 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB145) | (~v125(constB145)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB145) | (~v125(constB145)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21553,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB145) | (~v125(constB145)))),
% 34.55/23.17 inference(quant_inst,[status(thm)],[])).
% 34.55/23.17 tff(21554,plain,
% 34.55/23.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB145) | (~v125(constB145))),
% 34.55/23.17 inference(modus_ponens,[status(thm)],[21553, 21552])).
% 34.55/23.17 tff(21555,plain,
% 34.55/23.17 (v113(constB145)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21554, 2332, 21551])).
% 34.55/23.17 tff(21556,plain,
% 34.55/23.17 ($false),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21520, 21555, 21361])).
% 34.55/23.17 tff(21557,plain,(v100(constB146) | v90(constB145, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.55/23.17 tff(21558,plain,
% 34.55/23.17 (v100(constB146)),
% 34.55/23.17 inference(unit_resolution,[status(thm)],[21557, 21316])).
% 34.55/23.17 tff(21559,plain,
% 34.55/23.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21560,plain,
% 34.55/23.17 (((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1)) <=> ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 34.55/23.17 inference(rewrite,[status(thm)],[])).
% 34.55/23.17 tff(21561,plain,
% 34.55/23.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))))),
% 34.55/23.18 inference(monotonicity,[status(thm)],[21560])).
% 34.55/23.18 tff(21562,plain,
% 34.55/23.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 34.55/23.18 inference(transitivity,[status(thm)],[21561, 21559])).
% 34.55/23.18 tff(21563,plain,
% 34.55/23.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))),
% 34.55/23.18 inference(quant_inst,[status(thm)],[])).
% 34.55/23.18 tff(21564,plain,
% 34.55/23.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))),
% 34.55/23.18 inference(modus_ponens,[status(thm)],[21563, 21562])).
% 34.55/23.18 tff(21565,plain,
% 34.55/23.18 ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21564, 814, 21558])).
% 34.55/23.18 tff(21566,plain,
% 34.55/23.18 (~v90(constB146, bitIndex1)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21565, 21282])).
% 34.55/23.18 tff(21567,plain,
% 34.55/23.18 ((~v1(constB147)) <=> (~v1(constB147))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21568,axiom,(~v1(constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 34.55/23.18 tff(21569,plain,
% 34.55/23.18 (~v1(constB147)),
% 34.55/23.18 inference(modus_ponens,[status(thm)],[21568, 21567])).
% 34.55/23.18 tff(21570,plain,
% 34.55/23.18 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21571,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 34.55/23.18 tff(21572,plain,
% 34.55/23.18 (nextState(constB146, constB147)),
% 34.55/23.18 inference(modus_ponens,[status(thm)],[21571, 21570])).
% 34.55/23.18 tff(21573,plain,
% 34.55/23.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21574,plain,
% 34.55/23.18 (((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21575,plain,
% 34.55/23.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))))),
% 34.55/23.18 inference(monotonicity,[status(thm)],[21574])).
% 34.55/23.18 tff(21576,plain,
% 34.55/23.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 34.55/23.18 inference(transitivity,[status(thm)],[21575, 21573])).
% 34.55/23.18 tff(21577,plain,
% 34.55/23.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))),
% 34.55/23.18 inference(quant_inst,[status(thm)],[])).
% 34.55/23.18 tff(21578,plain,
% 34.55/23.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))),
% 34.55/23.18 inference(modus_ponens,[status(thm)],[21577, 21576])).
% 34.55/23.18 tff(21579,plain,
% 34.55/23.18 (~v101(constB147)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21578, 381, 21572, 21569])).
% 34.55/23.18 tff(21580,plain,
% 34.55/23.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21581,plain,
% 34.55/23.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 34.55/23.18 inference(quant_inst,[status(thm)],[])).
% 34.55/23.18 tff(21582,plain,
% 34.55/23.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147))),
% 34.55/23.18 inference(modus_ponens,[status(thm)],[21581, 21580])).
% 34.55/23.18 tff(21583,plain,
% 34.55/23.18 (v101(constB147) | (~v100(constB147))),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21582, 398, 21572])).
% 34.55/23.18 tff(21584,plain,
% 34.55/23.18 (~v100(constB147)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21583, 21579])).
% 34.55/23.18 tff(21585,plain,
% 34.55/23.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21586,plain,
% 34.55/23.18 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))) <=> (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21587,plain,
% 34.55/23.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1))))),
% 34.55/23.18 inference(monotonicity,[status(thm)],[21586])).
% 34.55/23.18 tff(21588,plain,
% 34.55/23.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 34.55/23.18 inference(transitivity,[status(thm)],[21587, 21585])).
% 34.55/23.18 tff(21589,plain,
% 34.55/23.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 34.55/23.18 inference(quant_inst,[status(thm)],[])).
% 34.55/23.18 tff(21590,plain,
% 34.55/23.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 34.55/23.18 inference(modus_ponens,[status(thm)],[21589, 21588])).
% 34.55/23.18 tff(21591,plain,
% 34.55/23.18 (v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21590, 434, 21572])).
% 34.55/23.18 tff(21592,plain,
% 34.55/23.18 (v90(constB146, bitIndex1) | (~v90(constB147, bitIndex1))),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21591, 21584])).
% 34.55/23.18 tff(21593,plain,
% 34.55/23.18 (~v90(constB147, bitIndex1)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21592, 21566])).
% 34.55/23.18 tff(21594,plain,
% 34.55/23.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21595,plain,
% 34.55/23.18 ((v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2))) <=> (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21596,plain,
% 34.55/23.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2))))),
% 34.55/23.18 inference(monotonicity,[status(thm)],[21595])).
% 34.55/23.18 tff(21597,plain,
% 34.55/23.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))),
% 34.55/23.18 inference(transitivity,[status(thm)],[21596, 21594])).
% 34.55/23.18 tff(21598,plain,
% 34.55/23.18 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))),
% 34.55/23.18 inference(quant_inst,[status(thm)],[])).
% 34.55/23.18 tff(21599,plain,
% 34.55/23.18 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2))),
% 34.55/23.18 inference(modus_ponens,[status(thm)],[21598, 21597])).
% 34.55/23.18 tff(21600,plain,
% 34.55/23.18 (~v130(constB145, bitIndex2)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21599, 2244, 21255, 21251, 21247, 21243, 21239, 21220])).
% 34.55/23.18 tff(21601,plain,
% 34.55/23.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21602,plain,
% 34.55/23.18 ((v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2))) <=> ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21603,plain,
% 34.55/23.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)))),
% 34.55/23.18 inference(monotonicity,[status(thm)],[21602])).
% 34.55/23.18 tff(21604,plain,
% 34.55/23.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 34.55/23.18 inference(transitivity,[status(thm)],[21603, 21601])).
% 34.55/23.18 tff(21605,plain,
% 34.55/23.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))),
% 34.55/23.18 inference(quant_inst,[status(thm)],[])).
% 34.55/23.18 tff(21606,plain,
% 34.55/23.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)),
% 34.55/23.18 inference(modus_ponens,[status(thm)],[21605, 21604])).
% 34.55/23.18 tff(21607,plain,
% 34.55/23.18 ((~v127(constB145, bitIndex2)) | v130(constB145, bitIndex2)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21606, 689, 21266])).
% 34.55/23.18 tff(21608,plain,
% 34.55/23.18 (~v127(constB145, bitIndex2)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21607, 21600])).
% 34.55/23.18 tff(21609,plain,
% 34.55/23.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21610,plain,
% 34.55/23.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 34.55/23.18 inference(quant_inst,[status(thm)],[])).
% 34.55/23.18 tff(21611,plain,
% 34.55/23.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 34.55/23.18 inference(modus_ponens,[status(thm)],[21610, 21609])).
% 34.55/23.18 tff(21612,plain,
% 34.55/23.18 (v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21611, 707, 21277])).
% 34.55/23.18 tff(21613,plain,
% 34.55/23.18 (~v129(constB146, bitIndex2)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21612, 21608])).
% 34.55/23.18 tff(21614,plain,
% 34.55/23.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21615,plain,
% 34.55/23.18 (((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2)) <=> ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21616,plain,
% 34.55/23.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146))))),
% 34.55/23.18 inference(monotonicity,[status(thm)],[21615])).
% 34.55/23.18 tff(21617,plain,
% 34.55/23.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 34.55/23.18 inference(transitivity,[status(thm)],[21616, 21614])).
% 34.55/23.18 tff(21618,plain,
% 34.55/23.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2))),
% 34.55/23.18 inference(quant_inst,[status(thm)],[])).
% 34.55/23.18 tff(21619,plain,
% 34.55/23.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146))),
% 34.55/23.18 inference(modus_ponens,[status(thm)],[21618, 21617])).
% 34.55/23.18 tff(21620,plain,
% 34.55/23.18 ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21619, 722, 21558])).
% 34.55/23.18 tff(21621,plain,
% 34.55/23.18 (~v90(constB146, bitIndex2)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21620, 21613])).
% 34.55/23.18 tff(21622,plain,
% 34.55/23.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21623,plain,
% 34.55/23.18 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))) <=> (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21624,plain,
% 34.55/23.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2))))),
% 34.55/23.18 inference(monotonicity,[status(thm)],[21623])).
% 34.55/23.18 tff(21625,plain,
% 34.55/23.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 34.55/23.18 inference(transitivity,[status(thm)],[21624, 21622])).
% 34.55/23.18 tff(21626,plain,
% 34.55/23.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 34.55/23.18 inference(quant_inst,[status(thm)],[])).
% 34.55/23.18 tff(21627,plain,
% 34.55/23.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 34.55/23.18 inference(modus_ponens,[status(thm)],[21626, 21625])).
% 34.55/23.18 tff(21628,plain,
% 34.55/23.18 (v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21627, 413, 21572])).
% 34.55/23.18 tff(21629,plain,
% 34.55/23.18 (v90(constB146, bitIndex2) | (~v90(constB147, bitIndex2))),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21628, 21584])).
% 34.55/23.18 tff(21630,plain,
% 34.55/23.18 (~v90(constB147, bitIndex2)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21629, 21621])).
% 34.55/23.18 tff(21631,assumption,(~v130(constB145, bitIndex0)), introduced(assumption)).
% 34.55/23.18 tff(21632,plain,
% 34.55/23.18 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB145)) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB145)) | v130(constB145, bitIndex0))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21633,plain,
% 34.55/23.18 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB145)) | v130(constB145, bitIndex0))),
% 34.55/23.18 inference(quant_inst,[status(thm)],[])).
% 34.55/23.18 tff(21634,plain,
% 34.55/23.18 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB145)) | v130(constB145, bitIndex0)),
% 34.55/23.18 inference(modus_ponens,[status(thm)],[21633, 21632])).
% 34.55/23.18 tff(21635,plain,
% 34.55/23.18 (~v123(constB145)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21634, 1953, 21631])).
% 34.55/23.18 tff(21636,plain,
% 34.55/23.18 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB145)) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB145)) | v130(constB145, bitIndex0))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21637,plain,
% 34.55/23.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB145)) | v130(constB145, bitIndex0))),
% 34.55/23.18 inference(quant_inst,[status(thm)],[])).
% 34.55/23.18 tff(21638,plain,
% 34.55/23.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB145)) | v130(constB145, bitIndex0)),
% 34.55/23.18 inference(modus_ponens,[status(thm)],[21637, 21636])).
% 34.55/23.18 tff(21639,plain,
% 34.55/23.18 (~v119(constB145)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21638, 841, 21631])).
% 34.55/23.18 tff(21640,assumption,(~v124(constB145)), introduced(assumption)).
% 34.55/23.18 tff(21641,assumption,(~v122(constB145)), introduced(assumption)).
% 34.55/23.18 tff(21642,assumption,(~v120(constB145)), introduced(assumption)).
% 34.55/23.18 tff(21643,assumption,(~v121(constB145)), introduced(assumption)).
% 34.55/23.18 tff(21644,plain,
% 34.55/23.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21645,plain,
% 34.55/23.18 ((v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0)) <=> (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21646,plain,
% 34.55/23.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0)))),
% 34.55/23.18 inference(monotonicity,[status(thm)],[21645])).
% 34.55/23.18 tff(21647,plain,
% 34.55/23.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))),
% 34.55/23.18 inference(transitivity,[status(thm)],[21646, 21644])).
% 34.55/23.18 tff(21648,plain,
% 34.55/23.18 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))),
% 34.55/23.18 inference(quant_inst,[status(thm)],[])).
% 34.55/23.18 tff(21649,plain,
% 34.55/23.18 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0)),
% 34.55/23.18 inference(modus_ponens,[status(thm)],[21648, 21647])).
% 34.55/23.18 tff(21650,plain,
% 34.55/23.18 (v123(constB145) | v119(constB145) | v130(constB145, bitIndex0)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21649, 2495, 21643, 21642, 21641, 21640])).
% 34.55/23.18 tff(21651,plain,
% 34.55/23.18 ($false),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21650, 21639, 21635, 21631])).
% 34.55/23.18 tff(21652,plain,(v130(constB145, bitIndex0) | v121(constB145) | v120(constB145) | v122(constB145) | v124(constB145)), inference(lemma,lemma(discharge,[]))).
% 34.55/23.18 tff(21653,plain,
% 34.55/23.18 (v130(constB145, bitIndex0)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21652, 21239, 21243, 21220, 21251])).
% 34.55/23.18 tff(21654,plain,
% 34.55/23.18 (v127(constB145, bitIndex0)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21502, 21653])).
% 34.55/23.18 tff(21655,plain,
% 34.55/23.18 (v129(constB146, bitIndex0)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21507, 21654])).
% 34.55/23.18 tff(21656,plain,
% 34.55/23.18 (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0))),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21514, 885, 21558])).
% 34.55/23.18 tff(21657,plain,
% 34.55/23.18 (v90(constB146, bitIndex0)),
% 34.55/23.18 inference(unit_resolution,[status(thm)],[21656, 21655])).
% 34.55/23.18 tff(21658,plain,
% 34.55/23.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21659,plain,
% 34.55/23.18 (((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)) <=> ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 34.55/23.18 inference(rewrite,[status(thm)],[])).
% 34.55/23.18 tff(21660,plain,
% 34.55/23.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0)))),
% 34.55/23.18 inference(monotonicity,[status(thm)],[21659])).
% 34.55/23.18 tff(21661,plain,
% 34.55/23.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 34.55/23.19 inference(transitivity,[status(thm)],[21660, 21658])).
% 34.55/23.19 tff(21662,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21663,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0)),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21662, 21661])).
% 34.55/23.19 tff(21664,plain,
% 34.55/23.19 ((~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21663, 903, 21572])).
% 34.55/23.19 tff(21665,plain,
% 34.55/23.19 ((~v90(constB146, bitIndex0)) | v90(constB147, bitIndex0)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21664, 21584])).
% 34.55/23.19 tff(21666,plain,
% 34.55/23.19 (v90(constB147, bitIndex0)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21665, 21657])).
% 34.55/23.19 tff(21667,plain,
% 34.55/23.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21668,plain,
% 34.55/23.19 (((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2)) <=> ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21669,plain,
% 34.55/23.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147)))),
% 34.55/23.19 inference(monotonicity,[status(thm)],[21668])).
% 34.55/23.19 tff(21670,plain,
% 34.55/23.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 34.55/23.19 inference(transitivity,[status(thm)],[21669, 21667])).
% 34.55/23.19 tff(21671,plain,
% 34.55/23.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21672,plain,
% 34.55/23.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147)),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21671, 21670])).
% 34.55/23.19 tff(21673,plain,
% 34.55/23.19 (v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21672, 922, 21666])).
% 34.55/23.19 tff(21674,plain,
% 34.55/23.19 (v120(constB147)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21673, 21630, 21593])).
% 34.55/23.19 tff(21675,plain,
% 34.55/23.19 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21676,plain,
% 34.55/23.19 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21677,plain,
% 34.55/23.19 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1)),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21676, 21675])).
% 34.55/23.19 tff(21678,plain,
% 34.55/23.19 (v130(constB147, bitIndex1)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21677, 1087, 21674])).
% 34.55/23.19 tff(21679,assumption,(v26(constB147)), introduced(assumption)).
% 34.55/23.19 tff(21680,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB147))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21681,plain,
% 34.55/23.19 ($false),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21680, 120, 21679])).
% 34.55/23.19 tff(21682,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 34.55/23.19 tff(21683,plain,
% 34.55/23.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21684,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21685,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21684, 21683])).
% 34.55/23.19 tff(21686,plain,
% 34.55/23.19 ((~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21685, 1101, 21682])).
% 34.55/23.19 tff(21687,plain,
% 34.55/23.19 (v127(constB147, bitIndex1)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21686, 21678])).
% 34.55/23.19 tff(21688,plain,
% 34.55/23.19 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21689,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 34.55/23.19 tff(21690,plain,
% 34.55/23.19 (nextState(constB147, constB148)),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21689, 21688])).
% 34.55/23.19 tff(21691,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21692,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21693,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21692, 21691])).
% 34.55/23.19 tff(21694,plain,
% 34.55/23.19 ((~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21693, 1116, 21690])).
% 34.55/23.19 tff(21695,plain,
% 34.55/23.19 (v129(constB148, bitIndex1)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21694, 21687])).
% 34.55/23.19 tff(21696,assumption,(v120(constB147)), introduced(assumption)).
% 34.55/23.19 tff(21697,plain,
% 34.55/23.19 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB147) | (~v120(constB147)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB147) | (~v120(constB147)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21698,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB147) | (~v120(constB147)))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21699,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB147) | (~v120(constB147))),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21698, 21697])).
% 34.55/23.19 tff(21700,plain,
% 34.55/23.19 (v118(constB147)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21699, 936, 21696])).
% 34.55/23.19 tff(21701,plain,
% 34.55/23.19 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB147) | (~v118(constB147)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB147) | (~v118(constB147)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21702,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB147) | (~v118(constB147)))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21703,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB147) | (~v118(constB147))),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21702, 21701])).
% 34.55/23.19 tff(21704,plain,
% 34.55/23.19 (v117(constB147)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21703, 498, 21700])).
% 34.55/23.19 tff(21705,plain,
% 34.55/23.19 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB147) | (~v117(constB147)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB147) | (~v117(constB147)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21706,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB147) | (~v117(constB147)))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21707,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB147) | (~v117(constB147))),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21706, 21705])).
% 34.55/23.19 tff(21708,plain,
% 34.55/23.19 (v116(constB147)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21707, 509, 21704])).
% 34.55/23.19 tff(21709,plain,
% 34.55/23.19 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB147) | (~v116(constB147)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB147) | (~v116(constB147)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21710,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB147) | (~v116(constB147)))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21711,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB147) | (~v116(constB147))),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21710, 21709])).
% 34.55/23.19 tff(21712,plain,
% 34.55/23.19 (v115(constB147)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21711, 520, 21708])).
% 34.55/23.19 tff(21713,plain,
% 34.55/23.19 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21714,plain,
% 34.55/23.19 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21715,plain,
% 34.55/23.19 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0))),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21714, 21713])).
% 34.55/23.19 tff(21716,plain,
% 34.55/23.19 (~v130(constB147, bitIndex0)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21715, 1168, 21696])).
% 34.55/23.19 tff(21717,plain,
% 34.55/23.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21718,plain,
% 34.55/23.19 ((v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0))) <=> ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21719,plain,
% 34.55/23.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)))),
% 34.55/23.19 inference(monotonicity,[status(thm)],[21718])).
% 34.55/23.19 tff(21720,plain,
% 34.55/23.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 34.55/23.19 inference(transitivity,[status(thm)],[21719, 21717])).
% 34.55/23.19 tff(21721,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21722,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21721, 21720])).
% 34.55/23.19 tff(21723,plain,
% 34.55/23.19 ((~v127(constB147, bitIndex0)) | v130(constB147, bitIndex0)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21722, 1182, 21682])).
% 34.55/23.19 tff(21724,plain,
% 34.55/23.19 (~v127(constB147, bitIndex0)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21723, 21716])).
% 34.55/23.19 tff(21725,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21726,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21727,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21726, 21725])).
% 34.55/23.19 tff(21728,plain,
% 34.55/23.19 (v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21727, 1200, 21690])).
% 34.55/23.19 tff(21729,plain,
% 34.55/23.19 (~v129(constB148, bitIndex0)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21728, 21724])).
% 34.55/23.19 tff(21730,assumption,(v90(constB148, bitIndex0)), introduced(assumption)).
% 34.55/23.19 tff(21731,plain,
% 34.55/23.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21732,plain,
% 34.55/23.19 (((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0)) <=> ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21733,plain,
% 34.55/23.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))))),
% 34.55/23.19 inference(monotonicity,[status(thm)],[21732])).
% 34.55/23.19 tff(21734,plain,
% 34.55/23.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 34.55/23.19 inference(transitivity,[status(thm)],[21733, 21731])).
% 34.55/23.19 tff(21735,plain,
% 34.55/23.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21736,plain,
% 34.55/23.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21735, 21734])).
% 34.55/23.19 tff(21737,plain,
% 34.55/23.19 (v129(constB148, bitIndex0) | (~v100(constB148))),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21736, 1215, 21730])).
% 34.55/23.19 tff(21738,plain,
% 34.55/23.19 (~v100(constB148)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21737, 21729])).
% 34.55/23.19 tff(21739,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21740,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21741,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148))),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21740, 21739])).
% 34.55/23.19 tff(21742,plain,
% 34.55/23.19 (~v104(constB148)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21741, 603, 21690, 21569])).
% 34.55/23.19 tff(21743,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21744,plain,
% 34.55/23.19 (((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148)) <=> ((~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21745,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | v102(constB148)))),
% 34.55/23.19 inference(monotonicity,[status(thm)],[21744])).
% 34.55/23.19 tff(21746,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))),
% 34.55/23.19 inference(transitivity,[status(thm)],[21745, 21743])).
% 34.55/23.19 tff(21747,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21748,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | v102(constB148)),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21747, 21746])).
% 34.55/23.19 tff(21749,plain,
% 34.55/23.19 (v104(constB148) | v102(constB148)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21748, 617, 21690])).
% 34.55/23.19 tff(21750,plain,
% 34.55/23.19 (v102(constB148)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21749, 21742])).
% 34.55/23.19 tff(21751,plain,
% 34.55/23.19 (v1(constB148) <=> v1(constB148)),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21752,axiom,(v1(constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 34.55/23.19 tff(21753,plain,
% 34.55/23.19 (v1(constB148)),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21752, 21751])).
% 34.55/23.19 tff(21754,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21755,plain,
% 34.55/23.19 (((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148))) <=> ((~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21756,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148))))),
% 34.55/23.19 inference(monotonicity,[status(thm)],[21755])).
% 34.55/23.19 tff(21757,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))),
% 34.55/23.19 inference(transitivity,[status(thm)],[21756, 21754])).
% 34.55/23.19 tff(21758,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21759,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148))),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21758, 21757])).
% 34.55/23.19 tff(21760,plain,
% 34.55/23.19 (v101(constB148) | (~v102(constB148))),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21759, 638, 21690, 21753])).
% 34.55/23.19 tff(21761,plain,
% 34.55/23.19 (v101(constB148)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21760, 21750])).
% 34.55/23.19 tff(21762,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21763,plain,
% 34.55/23.19 (((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148)) <=> ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21764,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))))),
% 34.55/23.19 inference(monotonicity,[status(thm)],[21763])).
% 34.55/23.19 tff(21765,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 34.55/23.19 inference(transitivity,[status(thm)],[21764, 21762])).
% 34.55/23.19 tff(21766,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21767,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21766, 21765])).
% 34.55/23.19 tff(21768,plain,
% 34.55/23.19 (v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21767, 656, 21690])).
% 34.55/23.19 tff(21769,plain,
% 34.55/23.19 (v100(constB148) | (~v110(constB148))),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21768, 21761])).
% 34.55/23.19 tff(21770,plain,
% 34.55/23.19 (~v110(constB148)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21769, 21738])).
% 34.55/23.19 tff(21771,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21772,plain,
% 34.55/23.19 (((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148)) <=> ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21773,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))))),
% 34.55/23.19 inference(monotonicity,[status(thm)],[21772])).
% 34.55/23.19 tff(21774,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 34.55/23.19 inference(transitivity,[status(thm)],[21773, 21771])).
% 34.55/23.19 tff(21775,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21776,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21775, 21774])).
% 34.55/23.19 tff(21777,plain,
% 34.55/23.19 (v110(constB148) | (~v108(constB147))),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21776, 585, 21690])).
% 34.55/23.19 tff(21778,plain,
% 34.55/23.19 (~v108(constB147)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21777, 21770])).
% 34.55/23.19 tff(21779,plain,
% 34.55/23.19 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB147) | (~v112(constB147)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21780,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB147) | (~v112(constB147)))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21781,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB147) | (~v112(constB147))),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21780, 21779])).
% 34.55/23.19 tff(21782,plain,
% 34.55/23.19 (~v112(constB147)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21781, 568, 21778])).
% 34.55/23.19 tff(21783,plain,
% 34.55/23.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21784,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21785,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | (~v113(constB147)) | v112(constB147)),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21784, 21783])).
% 34.55/23.19 tff(21786,plain,
% 34.55/23.19 ((~v113(constB147)) | v112(constB147)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21785, 556, 21682])).
% 34.55/23.19 tff(21787,plain,
% 34.55/23.19 (~v113(constB147)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21786, 21782])).
% 34.55/23.19 tff(21788,plain,
% 34.55/23.19 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB147) | (~v114(constB147)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB147) | (~v114(constB147)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21789,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB147) | (~v114(constB147)))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21790,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB147) | (~v114(constB147))),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21789, 21788])).
% 34.55/23.19 tff(21791,plain,
% 34.55/23.19 (~v114(constB147)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21790, 542, 21787])).
% 34.55/23.19 tff(21792,plain,
% 34.55/23.19 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB147) | (~v115(constB147)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB147) | (~v115(constB147)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21793,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB147) | (~v115(constB147)))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21794,plain,
% 34.55/23.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB147) | (~v115(constB147))),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21793, 21792])).
% 34.55/23.19 tff(21795,plain,
% 34.55/23.19 ($false),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21794, 531, 21791, 21712])).
% 34.55/23.19 tff(21796,plain,((~v120(constB147)) | (~v90(constB148, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.55/23.19 tff(21797,plain,
% 34.55/23.19 (~v90(constB148, bitIndex0)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21796, 21674])).
% 34.55/23.19 tff(21798,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21799,plain,
% 34.55/23.19 (((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex0)) | v100(constB148) | v90(constB148, bitIndex0)) <=> ((~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21800,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex0)) | v100(constB148) | v90(constB148, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0)))),
% 34.55/23.19 inference(monotonicity,[status(thm)],[21799])).
% 34.55/23.19 tff(21801,plain,
% 34.55/23.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex0)) | v100(constB148) | v90(constB148, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0))),
% 34.55/23.19 inference(transitivity,[status(thm)],[21800, 21798])).
% 34.55/23.19 tff(21802,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex0)) | v100(constB148) | v90(constB148, bitIndex0))),
% 34.55/23.19 inference(quant_inst,[status(thm)],[])).
% 34.55/23.19 tff(21803,plain,
% 34.55/23.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0)),
% 34.55/23.19 inference(modus_ponens,[status(thm)],[21802, 21801])).
% 34.55/23.19 tff(21804,plain,
% 34.55/23.19 ((~v90(constB147, bitIndex0)) | v100(constB148) | v90(constB148, bitIndex0)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21803, 903, 21690])).
% 34.55/23.19 tff(21805,plain,
% 34.55/23.19 (v100(constB148)),
% 34.55/23.19 inference(unit_resolution,[status(thm)],[21804, 21797, 21666])).
% 34.55/23.19 tff(21806,plain,
% 34.55/23.19 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21807,plain,
% 34.55/23.19 ((v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1))) <=> (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 34.55/23.19 inference(rewrite,[status(thm)],[])).
% 34.55/23.19 tff(21808,plain,
% 34.55/23.19 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))))),
% 34.55/23.19 inference(monotonicity,[status(thm)],[21807])).
% 34.55/23.19 tff(21809,plain,
% 34.55/23.19 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 34.55/23.20 inference(transitivity,[status(thm)],[21808, 21806])).
% 34.55/23.20 tff(21810,plain,
% 34.55/23.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21811,plain,
% 34.55/23.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21810, 21809])).
% 34.55/23.20 tff(21812,plain,
% 34.55/23.20 (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1))),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21811, 1131, 21805])).
% 34.55/23.20 tff(21813,plain,
% 34.55/23.20 (v90(constB148, bitIndex1)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21812, 21695])).
% 34.55/23.20 tff(21814,plain,
% 34.55/23.20 ((~v1(constB149)) <=> (~v1(constB149))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21815,axiom,(~v1(constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 34.55/23.20 tff(21816,plain,
% 34.55/23.20 (~v1(constB149)),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21815, 21814])).
% 34.55/23.20 tff(21817,plain,
% 34.55/23.20 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21818,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 34.55/23.20 tff(21819,plain,
% 34.55/23.20 (nextState(constB148, constB149)),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21818, 21817])).
% 34.55/23.20 tff(21820,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21821,plain,
% 34.55/23.20 (((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21822,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))))),
% 34.55/23.20 inference(monotonicity,[status(thm)],[21821])).
% 34.55/23.20 tff(21823,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 34.55/23.20 inference(transitivity,[status(thm)],[21822, 21820])).
% 34.55/23.20 tff(21824,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21825,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21824, 21823])).
% 34.55/23.20 tff(21826,plain,
% 34.55/23.20 (~v101(constB149)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21825, 381, 21819, 21816])).
% 34.55/23.20 tff(21827,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21828,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21829,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21828, 21827])).
% 34.55/23.20 tff(21830,plain,
% 34.55/23.20 (v101(constB149) | (~v100(constB149))),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21829, 398, 21819])).
% 34.55/23.20 tff(21831,plain,
% 34.55/23.20 (~v100(constB149)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21830, 21826])).
% 34.55/23.20 tff(21832,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21833,plain,
% 34.55/23.20 (((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)) <=> ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21834,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1)))),
% 34.55/23.20 inference(monotonicity,[status(thm)],[21833])).
% 34.55/23.20 tff(21835,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 34.55/23.20 inference(transitivity,[status(thm)],[21834, 21832])).
% 34.55/23.20 tff(21836,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21837,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1)),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21836, 21835])).
% 34.55/23.20 tff(21838,plain,
% 34.55/23.20 ((~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21837, 1149, 21819])).
% 34.55/23.20 tff(21839,plain,
% 34.55/23.20 ((~v90(constB148, bitIndex1)) | v90(constB149, bitIndex1)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21838, 21831])).
% 34.55/23.20 tff(21840,plain,
% 34.55/23.20 (v90(constB149, bitIndex1)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21839, 21813])).
% 34.55/23.20 tff(21841,plain,
% 34.55/23.20 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21842,plain,
% 34.55/23.20 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21843,plain,
% 34.55/23.20 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21842, 21841])).
% 34.55/23.20 tff(21844,plain,
% 34.55/23.20 (~v130(constB147, bitIndex2)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21843, 1025, 21674])).
% 34.55/23.20 tff(21845,plain,
% 34.55/23.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21846,plain,
% 34.55/23.20 ((v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2))) <=> ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21847,plain,
% 34.55/23.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)))),
% 34.55/23.20 inference(monotonicity,[status(thm)],[21846])).
% 34.55/23.20 tff(21848,plain,
% 34.55/23.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 34.55/23.20 inference(transitivity,[status(thm)],[21847, 21845])).
% 34.55/23.20 tff(21849,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21850,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21849, 21848])).
% 34.55/23.20 tff(21851,plain,
% 34.55/23.20 ((~v127(constB147, bitIndex2)) | v130(constB147, bitIndex2)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21850, 689, 21682])).
% 34.55/23.20 tff(21852,plain,
% 34.55/23.20 (~v127(constB147, bitIndex2)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21851, 21844])).
% 34.55/23.20 tff(21853,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21854,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21855,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21854, 21853])).
% 34.55/23.20 tff(21856,plain,
% 34.55/23.20 (v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21855, 707, 21690])).
% 34.55/23.20 tff(21857,plain,
% 34.55/23.20 (~v129(constB148, bitIndex2)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21856, 21852])).
% 34.55/23.20 tff(21858,plain,
% 34.55/23.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21859,plain,
% 34.55/23.20 (((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2)) <=> ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21860,plain,
% 34.55/23.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148))))),
% 34.55/23.20 inference(monotonicity,[status(thm)],[21859])).
% 34.55/23.20 tff(21861,plain,
% 34.55/23.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 34.55/23.20 inference(transitivity,[status(thm)],[21860, 21858])).
% 34.55/23.20 tff(21862,plain,
% 34.55/23.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21863,plain,
% 34.55/23.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21862, 21861])).
% 34.55/23.20 tff(21864,plain,
% 34.55/23.20 ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21863, 722, 21805])).
% 34.55/23.20 tff(21865,plain,
% 34.55/23.20 (~v90(constB148, bitIndex2)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21864, 21857])).
% 34.55/23.20 tff(21866,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21867,plain,
% 34.55/23.20 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))) <=> (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21868,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2))))),
% 34.55/23.20 inference(monotonicity,[status(thm)],[21867])).
% 34.55/23.20 tff(21869,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 34.55/23.20 inference(transitivity,[status(thm)],[21868, 21866])).
% 34.55/23.20 tff(21870,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21871,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21870, 21869])).
% 34.55/23.20 tff(21872,plain,
% 34.55/23.20 (v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21871, 413, 21819])).
% 34.55/23.20 tff(21873,plain,
% 34.55/23.20 (v90(constB148, bitIndex2) | (~v90(constB149, bitIndex2))),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21872, 21831])).
% 34.55/23.20 tff(21874,plain,
% 34.55/23.20 (~v90(constB149, bitIndex2)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21873, 21865])).
% 34.55/23.20 tff(21875,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21876,plain,
% 34.55/23.20 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))) <=> (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21877,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0))))),
% 34.55/23.20 inference(monotonicity,[status(thm)],[21876])).
% 34.55/23.20 tff(21878,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 34.55/23.20 inference(transitivity,[status(thm)],[21877, 21875])).
% 34.55/23.20 tff(21879,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21880,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21879, 21878])).
% 34.55/23.20 tff(21881,plain,
% 34.55/23.20 (v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21880, 455, 21819])).
% 34.55/23.20 tff(21882,plain,
% 34.55/23.20 (v90(constB148, bitIndex0) | (~v90(constB149, bitIndex0))),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21881, 21831])).
% 34.55/23.20 tff(21883,plain,
% 34.55/23.20 (~v90(constB149, bitIndex0)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21882, 21797])).
% 34.55/23.20 tff(21884,plain,
% 34.55/23.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21885,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21886,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149)),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21885, 21884])).
% 34.55/23.20 tff(21887,plain,
% 34.55/23.20 ((~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21886, 1242, 21883])).
% 34.55/23.20 tff(21888,plain,
% 34.55/23.20 (v121(constB149)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21887, 21874, 21840])).
% 34.55/23.20 tff(21889,assumption,(v121(constB149)), introduced(assumption)).
% 34.55/23.20 tff(21890,plain,
% 34.55/23.20 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB149) | (~v121(constB149)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB149) | (~v121(constB149)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21891,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB149) | (~v121(constB149)))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21892,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB149) | (~v121(constB149))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21891, 21890])).
% 34.55/23.20 tff(21893,plain,
% 34.55/23.20 (v117(constB149)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21892, 1253, 21889])).
% 34.55/23.20 tff(21894,plain,
% 34.55/23.20 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB149) | (~v117(constB149)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB149) | (~v117(constB149)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21895,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB149) | (~v117(constB149)))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21896,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB149) | (~v117(constB149))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21895, 21894])).
% 34.55/23.20 tff(21897,plain,
% 34.55/23.20 (v116(constB149)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21896, 509, 21893])).
% 34.55/23.20 tff(21898,plain,
% 34.55/23.20 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB149) | (~v116(constB149)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB149) | (~v116(constB149)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21899,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB149) | (~v116(constB149)))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21900,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB149) | (~v116(constB149))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21899, 21898])).
% 34.55/23.20 tff(21901,plain,
% 34.55/23.20 (v115(constB149)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21900, 520, 21897])).
% 34.55/23.20 tff(21902,plain,
% 34.55/23.20 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB149) | (~v115(constB149)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21903,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB149) | (~v115(constB149)))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21904,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB149) | (~v115(constB149))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21903, 21902])).
% 34.55/23.20 tff(21905,plain,
% 34.55/23.20 (v114(constB149)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21904, 531, 21901])).
% 34.55/23.20 tff(21906,plain,
% 34.55/23.20 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB149) | (~v114(constB149)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB149) | (~v114(constB149)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21907,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB149) | (~v114(constB149)))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21908,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB149) | (~v114(constB149))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21907, 21906])).
% 34.55/23.20 tff(21909,plain,
% 34.55/23.20 (v113(constB149)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21908, 542, 21905])).
% 34.55/23.20 tff(21910,assumption,(v26(constB149)), introduced(assumption)).
% 34.55/23.20 tff(21911,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB149))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21912,plain,
% 34.55/23.20 ($false),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21911, 120, 21910])).
% 34.55/23.20 tff(21913,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 34.55/23.20 tff(21914,plain,
% 34.55/23.20 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21915,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21916,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | (~v113(constB149)) | v112(constB149)),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21915, 21914])).
% 34.55/23.20 tff(21917,plain,
% 34.55/23.20 ((~v113(constB149)) | v112(constB149)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21916, 556, 21913])).
% 34.55/23.20 tff(21918,plain,
% 34.55/23.20 (v112(constB149)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21917, 21909])).
% 34.55/23.20 tff(21919,plain,
% 34.55/23.20 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB149) | (~v112(constB149)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB149) | (~v112(constB149)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21920,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB149) | (~v112(constB149)))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21921,plain,
% 34.55/23.20 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB149) | (~v112(constB149))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21920, 21919])).
% 34.55/23.20 tff(21922,plain,
% 34.55/23.20 (v108(constB149)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21921, 568, 21918])).
% 34.55/23.20 tff(21923,plain,
% 34.55/23.20 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21924,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 34.55/23.20 tff(21925,plain,
% 34.55/23.20 (nextState(constB149, constB150)),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21924, 21923])).
% 34.55/23.20 tff(21926,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21927,plain,
% 34.55/23.20 (((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150)) <=> ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21928,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))))),
% 34.55/23.20 inference(monotonicity,[status(thm)],[21927])).
% 34.55/23.20 tff(21929,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 34.55/23.20 inference(transitivity,[status(thm)],[21928, 21926])).
% 34.55/23.20 tff(21930,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21931,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21930, 21929])).
% 34.55/23.20 tff(21932,plain,
% 34.55/23.20 (v110(constB150) | (~v108(constB149))),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21931, 585, 21925])).
% 34.55/23.20 tff(21933,plain,
% 34.55/23.20 (v110(constB150)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21932, 21922])).
% 34.55/23.20 tff(21934,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21935,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 34.55/23.20 inference(quant_inst,[status(thm)],[])).
% 34.55/23.20 tff(21936,plain,
% 34.55/23.20 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150))),
% 34.55/23.20 inference(modus_ponens,[status(thm)],[21935, 21934])).
% 34.55/23.20 tff(21937,plain,
% 34.55/23.20 (~v104(constB150)),
% 34.55/23.20 inference(unit_resolution,[status(thm)],[21936, 603, 21925, 21816])).
% 34.55/23.20 tff(21938,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21939,plain,
% 34.55/23.20 (((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150)) <=> ((~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))),
% 34.55/23.20 inference(rewrite,[status(thm)],[])).
% 34.55/23.20 tff(21940,plain,
% 34.55/23.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | v102(constB150)))),
% 34.55/23.21 inference(monotonicity,[status(thm)],[21939])).
% 34.55/23.21 tff(21941,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))),
% 34.55/23.21 inference(transitivity,[status(thm)],[21940, 21938])).
% 34.55/23.21 tff(21942,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(21943,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | v102(constB150)),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[21942, 21941])).
% 34.55/23.21 tff(21944,plain,
% 34.55/23.21 (v104(constB150) | v102(constB150)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[21943, 617, 21925])).
% 34.55/23.21 tff(21945,plain,
% 34.55/23.21 (v102(constB150)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[21944, 21937])).
% 34.55/23.21 tff(21946,plain,
% 34.55/23.21 (v1(constB150) <=> v1(constB150)),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(21947,axiom,(v1(constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 34.55/23.21 tff(21948,plain,
% 34.55/23.21 (v1(constB150)),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[21947, 21946])).
% 34.55/23.21 tff(21949,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(21950,plain,
% 34.55/23.21 (((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150))) <=> ((~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(21951,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150))))),
% 34.55/23.21 inference(monotonicity,[status(thm)],[21950])).
% 34.55/23.21 tff(21952,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))),
% 34.55/23.21 inference(transitivity,[status(thm)],[21951, 21949])).
% 34.55/23.21 tff(21953,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(21954,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150))),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[21953, 21952])).
% 34.55/23.21 tff(21955,plain,
% 34.55/23.21 (v101(constB150) | (~v102(constB150))),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[21954, 638, 21925, 21948])).
% 34.55/23.21 tff(21956,plain,
% 34.55/23.21 (v101(constB150)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[21955, 21945])).
% 34.55/23.21 tff(21957,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(21958,plain,
% 34.55/23.21 (((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150)) <=> ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(21959,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))))),
% 34.55/23.21 inference(monotonicity,[status(thm)],[21958])).
% 34.55/23.21 tff(21960,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 34.55/23.21 inference(transitivity,[status(thm)],[21959, 21957])).
% 34.55/23.21 tff(21961,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(21962,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[21961, 21960])).
% 34.55/23.21 tff(21963,plain,
% 34.55/23.21 (v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[21962, 656, 21925])).
% 34.55/23.21 tff(21964,plain,
% 34.55/23.21 (v100(constB150) | (~v110(constB150))),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[21963, 21956])).
% 34.55/23.21 tff(21965,plain,
% 34.55/23.21 (v100(constB150)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[21964, 21933])).
% 34.55/23.21 tff(21966,plain,
% 34.55/23.21 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(21967,plain,
% 34.55/23.21 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(21968,plain,
% 34.55/23.21 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2))),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[21967, 21966])).
% 34.55/23.21 tff(21969,plain,
% 34.55/23.21 (~v130(constB149, bitIndex2)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[21968, 1342, 21889])).
% 34.55/23.21 tff(21970,plain,
% 34.55/23.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(21971,plain,
% 34.55/23.21 ((v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2))) <=> ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(21972,plain,
% 34.55/23.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)))),
% 34.55/23.21 inference(monotonicity,[status(thm)],[21971])).
% 34.55/23.21 tff(21973,plain,
% 34.55/23.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 34.55/23.21 inference(transitivity,[status(thm)],[21972, 21970])).
% 34.55/23.21 tff(21974,plain,
% 34.55/23.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(21975,plain,
% 34.55/23.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[21974, 21973])).
% 34.55/23.21 tff(21976,plain,
% 34.55/23.21 ((~v127(constB149, bitIndex2)) | v130(constB149, bitIndex2)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[21975, 689, 21913])).
% 34.55/23.21 tff(21977,plain,
% 34.55/23.21 (~v127(constB149, bitIndex2)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[21976, 21969])).
% 34.55/23.21 tff(21978,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(21979,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(21980,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[21979, 21978])).
% 34.55/23.21 tff(21981,plain,
% 34.55/23.21 (v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[21980, 707, 21925])).
% 34.55/23.21 tff(21982,plain,
% 34.55/23.21 (~v129(constB150, bitIndex2)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[21981, 21977])).
% 34.55/23.21 tff(21983,plain,
% 34.55/23.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(21984,plain,
% 34.55/23.21 (((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2)) <=> ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(21985,plain,
% 34.55/23.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150))))),
% 34.55/23.21 inference(monotonicity,[status(thm)],[21984])).
% 34.55/23.21 tff(21986,plain,
% 34.55/23.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 34.55/23.21 inference(transitivity,[status(thm)],[21985, 21983])).
% 34.55/23.21 tff(21987,plain,
% 34.55/23.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(21988,plain,
% 34.55/23.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150))),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[21987, 21986])).
% 34.55/23.21 tff(21989,plain,
% 34.55/23.21 ((~v90(constB150, bitIndex2)) | (~v100(constB150))),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[21988, 722, 21982])).
% 34.55/23.21 tff(21990,plain,
% 34.55/23.21 (~v90(constB150, bitIndex2)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[21989, 21965])).
% 34.55/23.21 tff(21991,plain,
% 34.55/23.21 ((~v1(constB151)) <=> (~v1(constB151))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(21992,axiom,(~v1(constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 34.55/23.21 tff(21993,plain,
% 34.55/23.21 (~v1(constB151)),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[21992, 21991])).
% 34.55/23.21 tff(21994,plain,
% 34.55/23.21 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(21995,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 34.55/23.21 tff(21996,plain,
% 34.55/23.21 (nextState(constB150, constB151)),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[21995, 21994])).
% 34.55/23.21 tff(21997,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(21998,plain,
% 34.55/23.21 (((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(21999,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))))),
% 34.55/23.21 inference(monotonicity,[status(thm)],[21998])).
% 34.55/23.21 tff(22000,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 34.55/23.21 inference(transitivity,[status(thm)],[21999, 21997])).
% 34.55/23.21 tff(22001,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(22002,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[22001, 22000])).
% 34.55/23.21 tff(22003,plain,
% 34.55/23.21 (~v101(constB151)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22002, 381, 21996, 21993])).
% 34.55/23.21 tff(22004,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(22005,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(22006,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151))),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[22005, 22004])).
% 34.55/23.21 tff(22007,plain,
% 34.55/23.21 (v101(constB151) | (~v100(constB151))),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22006, 398, 21996])).
% 34.55/23.21 tff(22008,plain,
% 34.55/23.21 (~v100(constB151)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22007, 22003])).
% 34.55/23.21 tff(22009,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(22010,plain,
% 34.55/23.21 (((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))) <=> (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(22011,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2))))),
% 34.55/23.21 inference(monotonicity,[status(thm)],[22010])).
% 34.55/23.21 tff(22012,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 34.55/23.21 inference(transitivity,[status(thm)],[22011, 22009])).
% 34.55/23.21 tff(22013,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(22014,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[22013, 22012])).
% 34.55/23.21 tff(22015,plain,
% 34.55/23.21 (v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22014, 413, 21996])).
% 34.55/23.21 tff(22016,plain,
% 34.55/23.21 (v90(constB150, bitIndex2) | (~v90(constB151, bitIndex2))),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22015, 22008])).
% 34.55/23.21 tff(22017,plain,
% 34.55/23.21 (~v90(constB151, bitIndex2)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22016, 21990])).
% 34.55/23.21 tff(22018,plain,
% 34.55/23.21 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(22019,plain,
% 34.55/23.21 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(22020,plain,
% 34.55/23.21 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0)),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[22019, 22018])).
% 34.55/23.21 tff(22021,plain,
% 34.55/23.21 (v130(constB149, bitIndex0)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22020, 1445, 21889])).
% 34.55/23.21 tff(22022,plain,
% 34.55/23.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(22023,plain,
% 34.55/23.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(22024,plain,
% 34.55/23.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[22023, 22022])).
% 34.55/23.21 tff(22025,plain,
% 34.55/23.21 ((~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22024, 855, 21913])).
% 34.55/23.21 tff(22026,plain,
% 34.55/23.21 (v127(constB149, bitIndex0)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22025, 22021])).
% 34.55/23.21 tff(22027,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(22028,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(22029,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[22028, 22027])).
% 34.55/23.21 tff(22030,plain,
% 34.55/23.21 ((~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22029, 870, 21925])).
% 34.55/23.21 tff(22031,plain,
% 34.55/23.21 (v129(constB150, bitIndex0)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22030, 22026])).
% 34.55/23.21 tff(22032,plain,
% 34.55/23.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(22033,plain,
% 34.55/23.21 ((v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0))) <=> (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(22034,plain,
% 34.55/23.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))))),
% 34.55/23.21 inference(monotonicity,[status(thm)],[22033])).
% 34.55/23.21 tff(22035,plain,
% 34.55/23.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 34.55/23.21 inference(transitivity,[status(thm)],[22034, 22032])).
% 34.55/23.21 tff(22036,plain,
% 34.55/23.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(22037,plain,
% 34.55/23.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[22036, 22035])).
% 34.55/23.21 tff(22038,plain,
% 34.55/23.21 (v90(constB150, bitIndex0) | (~v100(constB150))),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22037, 885, 22031])).
% 34.55/23.21 tff(22039,plain,
% 34.55/23.21 (v90(constB150, bitIndex0)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22038, 21965])).
% 34.55/23.21 tff(22040,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(22041,plain,
% 34.55/23.21 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)) <=> ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(22042,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0)))),
% 34.55/23.21 inference(monotonicity,[status(thm)],[22041])).
% 34.55/23.21 tff(22043,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 34.55/23.21 inference(transitivity,[status(thm)],[22042, 22040])).
% 34.55/23.21 tff(22044,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(22045,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0)),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[22044, 22043])).
% 34.55/23.21 tff(22046,plain,
% 34.55/23.21 ((~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22045, 903, 21996])).
% 34.55/23.21 tff(22047,plain,
% 34.55/23.21 ((~v90(constB150, bitIndex0)) | v90(constB151, bitIndex0)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22046, 22008])).
% 34.55/23.21 tff(22048,plain,
% 34.55/23.21 (v90(constB151, bitIndex0)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22047, 22039])).
% 34.55/23.21 tff(22049,plain,
% 34.55/23.21 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(22050,plain,
% 34.55/23.21 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(22051,plain,
% 34.55/23.21 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1)),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[22050, 22049])).
% 34.55/23.21 tff(22052,plain,
% 34.55/23.21 (v130(constB149, bitIndex1)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22051, 1404, 21889])).
% 34.55/23.21 tff(22053,plain,
% 34.55/23.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(22054,plain,
% 34.55/23.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(22055,plain,
% 34.55/23.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 34.55/23.21 inference(modus_ponens,[status(thm)],[22054, 22053])).
% 34.55/23.21 tff(22056,plain,
% 34.55/23.21 ((~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22055, 1101, 21913])).
% 34.55/23.21 tff(22057,plain,
% 34.55/23.21 (v127(constB149, bitIndex1)),
% 34.55/23.21 inference(unit_resolution,[status(thm)],[22056, 22052])).
% 34.55/23.21 tff(22058,plain,
% 34.55/23.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 34.55/23.21 inference(rewrite,[status(thm)],[])).
% 34.55/23.21 tff(22059,plain,
% 34.55/23.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 34.55/23.21 inference(quant_inst,[status(thm)],[])).
% 34.55/23.21 tff(22060,plain,
% 34.55/23.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22059, 22058])).
% 34.55/23.22 tff(22061,plain,
% 34.55/23.22 ((~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22060, 1116, 21925])).
% 34.55/23.22 tff(22062,plain,
% 34.55/23.22 (v129(constB150, bitIndex1)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22061, 22057])).
% 34.55/23.22 tff(22063,plain,
% 34.55/23.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22064,plain,
% 34.55/23.22 ((v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1))) <=> (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22065,plain,
% 34.55/23.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))))),
% 34.55/23.22 inference(monotonicity,[status(thm)],[22064])).
% 34.55/23.22 tff(22066,plain,
% 34.55/23.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 34.55/23.22 inference(transitivity,[status(thm)],[22065, 22063])).
% 34.55/23.22 tff(22067,plain,
% 34.55/23.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22068,plain,
% 34.55/23.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22067, 22066])).
% 34.55/23.22 tff(22069,plain,
% 34.55/23.22 (v90(constB150, bitIndex1) | (~v100(constB150))),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22068, 1131, 22062])).
% 34.55/23.22 tff(22070,plain,
% 34.55/23.22 (v90(constB150, bitIndex1)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22069, 21965])).
% 34.55/23.22 tff(22071,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22072,plain,
% 34.55/23.22 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)) <=> ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22073,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1)))),
% 34.55/23.22 inference(monotonicity,[status(thm)],[22072])).
% 34.55/23.22 tff(22074,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 34.55/23.22 inference(transitivity,[status(thm)],[22073, 22071])).
% 34.55/23.22 tff(22075,plain,
% 34.55/23.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22076,plain,
% 34.55/23.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1)),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22075, 22074])).
% 34.55/23.22 tff(22077,plain,
% 34.55/23.22 ((~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22076, 1149, 21996])).
% 34.55/23.22 tff(22078,plain,
% 34.55/23.22 ((~v90(constB150, bitIndex1)) | v90(constB151, bitIndex1)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22077, 22008])).
% 34.55/23.22 tff(22079,plain,
% 34.55/23.22 (v90(constB151, bitIndex1)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22078, 22070])).
% 34.55/23.22 tff(22080,assumption,(~v122(constB151)), introduced(assumption)).
% 34.55/23.22 tff(22081,plain,
% 34.55/23.22 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22082,plain,
% 34.55/23.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22083,plain,
% 34.55/23.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151)),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22082, 22081])).
% 34.55/23.22 tff(22084,plain,
% 34.55/23.22 ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22083, 1486, 22080])).
% 34.55/23.22 tff(22085,plain,
% 34.55/23.22 ($false),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22084, 22079, 22048, 22017])).
% 34.55/23.22 tff(22086,plain,((~v121(constB149)) | v122(constB151)), inference(lemma,lemma(discharge,[]))).
% 34.55/23.22 tff(22087,plain,
% 34.55/23.22 (v122(constB151)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22086, 21888])).
% 34.55/23.22 tff(22088,assumption,(v122(constB151)), introduced(assumption)).
% 34.55/23.22 tff(22089,plain,
% 34.55/23.22 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB151) | (~v122(constB151)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB151) | (~v122(constB151)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22090,plain,
% 34.55/23.22 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB151) | (~v122(constB151)))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22091,plain,
% 34.55/23.22 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB151) | (~v122(constB151))),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22090, 22089])).
% 34.55/23.22 tff(22092,plain,
% 34.55/23.22 (v116(constB151)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22091, 1497, 22088])).
% 34.55/23.22 tff(22093,plain,
% 34.55/23.22 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB151) | (~v116(constB151)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB151) | (~v116(constB151)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22094,plain,
% 34.55/23.22 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB151) | (~v116(constB151)))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22095,plain,
% 34.55/23.22 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB151) | (~v116(constB151))),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22094, 22093])).
% 34.55/23.22 tff(22096,plain,
% 34.55/23.22 (v115(constB151)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22095, 520, 22092])).
% 34.55/23.22 tff(22097,plain,
% 34.55/23.22 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB151) | (~v115(constB151)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB151) | (~v115(constB151)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22098,plain,
% 34.55/23.22 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB151) | (~v115(constB151)))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22099,plain,
% 34.55/23.22 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB151) | (~v115(constB151))),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22098, 22097])).
% 34.55/23.22 tff(22100,plain,
% 34.55/23.22 (v114(constB151)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22099, 531, 22096])).
% 34.55/23.22 tff(22101,plain,
% 34.55/23.22 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB151) | (~v114(constB151)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB151) | (~v114(constB151)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22102,plain,
% 34.55/23.22 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB151) | (~v114(constB151)))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22103,plain,
% 34.55/23.22 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB151) | (~v114(constB151))),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22102, 22101])).
% 34.55/23.22 tff(22104,plain,
% 34.55/23.22 (v113(constB151)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22103, 542, 22100])).
% 34.55/23.22 tff(22105,assumption,(v26(constB151)), introduced(assumption)).
% 34.55/23.22 tff(22106,plain,
% 34.55/23.22 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB151))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22107,plain,
% 34.55/23.22 ($false),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22106, 120, 22105])).
% 34.55/23.22 tff(22108,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 34.55/23.22 tff(22109,plain,
% 34.55/23.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | v112(constB151) | (~v113(constB151)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22110,plain,
% 34.55/23.22 ((v26(constB151) | (~v113(constB151)) | v112(constB151)) <=> (v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22111,plain,
% 34.55/23.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | v112(constB151) | (~v113(constB151))))),
% 34.55/23.22 inference(monotonicity,[status(thm)],[22110])).
% 34.55/23.22 tff(22112,plain,
% 34.55/23.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 34.55/23.22 inference(transitivity,[status(thm)],[22111, 22109])).
% 34.55/23.22 tff(22113,plain,
% 34.55/23.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22114,plain,
% 34.55/23.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151))),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22113, 22112])).
% 34.55/23.22 tff(22115,plain,
% 34.55/23.22 (v112(constB151) | (~v113(constB151))),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22114, 556, 22108])).
% 34.55/23.22 tff(22116,plain,
% 34.55/23.22 (v112(constB151)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22115, 22104])).
% 34.55/23.22 tff(22117,plain,
% 34.55/23.22 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB151) | (~v112(constB151)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB151) | (~v112(constB151)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22118,plain,
% 34.55/23.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB151) | (~v112(constB151)))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22119,plain,
% 34.55/23.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB151) | (~v112(constB151))),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22118, 22117])).
% 34.55/23.22 tff(22120,plain,
% 34.55/23.22 (v108(constB151)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22119, 568, 22116])).
% 34.55/23.22 tff(22121,plain,
% 34.55/23.22 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22122,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 34.55/23.22 tff(22123,plain,
% 34.55/23.22 (nextState(constB151, constB152)),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22122, 22121])).
% 34.55/23.22 tff(22124,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22125,plain,
% 34.55/23.22 (((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152)) <=> ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22126,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))))),
% 34.55/23.22 inference(monotonicity,[status(thm)],[22125])).
% 34.55/23.22 tff(22127,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 34.55/23.22 inference(transitivity,[status(thm)],[22126, 22124])).
% 34.55/23.22 tff(22128,plain,
% 34.55/23.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22129,plain,
% 34.55/23.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22128, 22127])).
% 34.55/23.22 tff(22130,plain,
% 34.55/23.22 (v110(constB152) | (~v108(constB151))),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22129, 585, 22123])).
% 34.55/23.22 tff(22131,plain,
% 34.55/23.22 (v110(constB152)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22130, 22120])).
% 34.55/23.22 tff(22132,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22133,plain,
% 34.55/23.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22134,plain,
% 34.55/23.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152))),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22133, 22132])).
% 34.55/23.22 tff(22135,plain,
% 34.55/23.22 (~v104(constB152)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22134, 603, 22123, 21993])).
% 34.55/23.22 tff(22136,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22137,plain,
% 34.55/23.22 (((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152)) <=> ((~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22138,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | v102(constB152)))),
% 34.55/23.22 inference(monotonicity,[status(thm)],[22137])).
% 34.55/23.22 tff(22139,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))),
% 34.55/23.22 inference(transitivity,[status(thm)],[22138, 22136])).
% 34.55/23.22 tff(22140,plain,
% 34.55/23.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22141,plain,
% 34.55/23.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | v102(constB152)),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22140, 22139])).
% 34.55/23.22 tff(22142,plain,
% 34.55/23.22 (v104(constB152) | v102(constB152)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22141, 617, 22123])).
% 34.55/23.22 tff(22143,plain,
% 34.55/23.22 (v102(constB152)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22142, 22135])).
% 34.55/23.22 tff(22144,plain,
% 34.55/23.22 (v1(constB152) <=> v1(constB152)),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22145,axiom,(v1(constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 34.55/23.22 tff(22146,plain,
% 34.55/23.22 (v1(constB152)),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22145, 22144])).
% 34.55/23.22 tff(22147,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22148,plain,
% 34.55/23.22 (((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152))) <=> ((~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22149,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152))))),
% 34.55/23.22 inference(monotonicity,[status(thm)],[22148])).
% 34.55/23.22 tff(22150,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))),
% 34.55/23.22 inference(transitivity,[status(thm)],[22149, 22147])).
% 34.55/23.22 tff(22151,plain,
% 34.55/23.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22152,plain,
% 34.55/23.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152))),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22151, 22150])).
% 34.55/23.22 tff(22153,plain,
% 34.55/23.22 (v101(constB152) | (~v102(constB152))),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22152, 638, 22123, 22146])).
% 34.55/23.22 tff(22154,plain,
% 34.55/23.22 (v101(constB152)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22153, 22143])).
% 34.55/23.22 tff(22155,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22156,plain,
% 34.55/23.22 (((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152)) <=> ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22157,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))))),
% 34.55/23.22 inference(monotonicity,[status(thm)],[22156])).
% 34.55/23.22 tff(22158,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 34.55/23.22 inference(transitivity,[status(thm)],[22157, 22155])).
% 34.55/23.22 tff(22159,plain,
% 34.55/23.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22160,plain,
% 34.55/23.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22159, 22158])).
% 34.55/23.22 tff(22161,plain,
% 34.55/23.22 (v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22160, 656, 22123])).
% 34.55/23.22 tff(22162,plain,
% 34.55/23.22 (v100(constB152) | (~v110(constB152))),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22161, 22154])).
% 34.55/23.22 tff(22163,plain,
% 34.55/23.22 (v100(constB152)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22162, 22131])).
% 34.55/23.22 tff(22164,plain,
% 34.55/23.22 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22165,plain,
% 34.55/23.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22166,plain,
% 34.55/23.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2)),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22165, 22164])).
% 34.55/23.22 tff(22167,plain,
% 34.55/23.22 (v130(constB151, bitIndex2)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22166, 1578, 22088])).
% 34.55/23.22 tff(22168,plain,
% 34.55/23.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22169,plain,
% 34.55/23.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22170,plain,
% 34.55/23.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22169, 22168])).
% 34.55/23.22 tff(22171,plain,
% 34.55/23.22 ((~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22170, 1592, 22108])).
% 34.55/23.22 tff(22172,plain,
% 34.55/23.22 (v127(constB151, bitIndex2)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22171, 22167])).
% 34.55/23.22 tff(22173,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22174,plain,
% 34.55/23.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22175,plain,
% 34.55/23.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22174, 22173])).
% 34.55/23.22 tff(22176,plain,
% 34.55/23.22 ((~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22175, 1607, 22123])).
% 34.55/23.22 tff(22177,plain,
% 34.55/23.22 (v129(constB152, bitIndex2)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22176, 22172])).
% 34.55/23.22 tff(22178,plain,
% 34.55/23.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22179,plain,
% 34.55/23.22 ((v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2))) <=> (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22180,plain,
% 34.55/23.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))))),
% 34.55/23.22 inference(monotonicity,[status(thm)],[22179])).
% 34.55/23.22 tff(22181,plain,
% 34.55/23.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 34.55/23.22 inference(transitivity,[status(thm)],[22180, 22178])).
% 34.55/23.22 tff(22182,plain,
% 34.55/23.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))),
% 34.55/23.22 inference(quant_inst,[status(thm)],[])).
% 34.55/23.22 tff(22183,plain,
% 34.55/23.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22182, 22181])).
% 34.55/23.22 tff(22184,plain,
% 34.55/23.22 (v90(constB152, bitIndex2) | (~v100(constB152))),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22183, 1622, 22177])).
% 34.55/23.22 tff(22185,plain,
% 34.55/23.22 (v90(constB152, bitIndex2)),
% 34.55/23.22 inference(unit_resolution,[status(thm)],[22184, 22163])).
% 34.55/23.22 tff(22186,plain,
% 34.55/23.22 ((~v1(constB153)) <=> (~v1(constB153))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22187,axiom,(~v1(constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 34.55/23.22 tff(22188,plain,
% 34.55/23.22 (~v1(constB153)),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22187, 22186])).
% 34.55/23.22 tff(22189,plain,
% 34.55/23.22 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22190,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 34.55/23.22 tff(22191,plain,
% 34.55/23.22 (nextState(constB152, constB153)),
% 34.55/23.22 inference(modus_ponens,[status(thm)],[22190, 22189])).
% 34.55/23.22 tff(22192,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22193,plain,
% 34.55/23.22 (((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 34.55/23.22 inference(rewrite,[status(thm)],[])).
% 34.55/23.22 tff(22194,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))))),
% 34.55/23.22 inference(monotonicity,[status(thm)],[22193])).
% 34.55/23.22 tff(22195,plain,
% 34.55/23.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 34.55/23.23 inference(transitivity,[status(thm)],[22194, 22192])).
% 34.55/23.23 tff(22196,plain,
% 34.55/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))),
% 34.55/23.23 inference(quant_inst,[status(thm)],[])).
% 34.55/23.23 tff(22197,plain,
% 34.55/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))),
% 34.55/23.23 inference(modus_ponens,[status(thm)],[22196, 22195])).
% 34.55/23.23 tff(22198,plain,
% 34.55/23.23 (~v101(constB153)),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22197, 381, 22191, 22188])).
% 34.55/23.23 tff(22199,plain,
% 34.55/23.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 34.55/23.23 inference(rewrite,[status(thm)],[])).
% 34.55/23.23 tff(22200,plain,
% 34.55/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 34.55/23.23 inference(quant_inst,[status(thm)],[])).
% 34.55/23.23 tff(22201,plain,
% 34.55/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153))),
% 34.55/23.23 inference(modus_ponens,[status(thm)],[22200, 22199])).
% 34.55/23.23 tff(22202,plain,
% 34.55/23.23 (v101(constB153) | (~v100(constB153))),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22201, 398, 22191])).
% 34.55/23.23 tff(22203,plain,
% 34.55/23.23 (~v100(constB153)),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22202, 22198])).
% 34.55/23.23 tff(22204,plain,
% 34.55/23.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 34.55/23.23 inference(rewrite,[status(thm)],[])).
% 34.55/23.23 tff(22205,plain,
% 34.55/23.23 (((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)) <=> ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 34.55/23.23 inference(rewrite,[status(thm)],[])).
% 34.55/23.23 tff(22206,plain,
% 34.55/23.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2)))),
% 34.55/23.23 inference(monotonicity,[status(thm)],[22205])).
% 34.55/23.23 tff(22207,plain,
% 34.55/23.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 34.55/23.23 inference(transitivity,[status(thm)],[22206, 22204])).
% 34.55/23.23 tff(22208,plain,
% 34.55/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))),
% 34.55/23.23 inference(quant_inst,[status(thm)],[])).
% 34.55/23.23 tff(22209,plain,
% 34.55/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2)),
% 34.55/23.23 inference(modus_ponens,[status(thm)],[22208, 22207])).
% 34.55/23.23 tff(22210,plain,
% 34.55/23.23 ((~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22209, 1658, 22191])).
% 34.55/23.23 tff(22211,plain,
% 34.55/23.23 ((~v90(constB152, bitIndex2)) | v90(constB153, bitIndex2)),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22210, 22203])).
% 34.55/23.23 tff(22212,plain,
% 34.55/23.23 (v90(constB153, bitIndex2)),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22211, 22185])).
% 34.55/23.23 tff(22213,plain,
% 34.55/23.23 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 34.55/23.23 inference(rewrite,[status(thm)],[])).
% 34.55/23.23 tff(22214,plain,
% 34.55/23.23 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 34.55/23.23 inference(quant_inst,[status(thm)],[])).
% 34.55/23.23 tff(22215,plain,
% 34.55/23.23 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0))),
% 34.55/23.23 inference(modus_ponens,[status(thm)],[22214, 22213])).
% 34.55/23.23 tff(22216,plain,
% 34.55/23.23 (~v130(constB151, bitIndex0)),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22215, 1721, 22088])).
% 34.55/23.23 tff(22217,assumption,(v127(constB151, bitIndex0)), introduced(assumption)).
% 34.55/23.23 tff(22218,assumption,(~v130(constB151, bitIndex0)), introduced(assumption)).
% 34.55/23.23 tff(22219,plain,
% 34.55/23.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 34.55/23.23 inference(rewrite,[status(thm)],[])).
% 34.55/23.23 tff(22220,plain,
% 34.55/23.23 ((v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0))) <=> ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 34.55/23.23 inference(rewrite,[status(thm)],[])).
% 34.55/23.23 tff(22221,plain,
% 34.55/23.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)))),
% 34.55/23.23 inference(monotonicity,[status(thm)],[22220])).
% 34.55/23.23 tff(22222,plain,
% 34.55/23.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 34.55/23.23 inference(transitivity,[status(thm)],[22221, 22219])).
% 34.55/23.23 tff(22223,plain,
% 34.55/23.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))),
% 34.55/23.23 inference(quant_inst,[status(thm)],[])).
% 34.55/23.23 tff(22224,plain,
% 34.55/23.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)),
% 34.55/23.23 inference(modus_ponens,[status(thm)],[22223, 22222])).
% 34.55/23.23 tff(22225,plain,
% 34.55/23.23 ((~v127(constB151, bitIndex0)) | v26(constB151)),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22224, 1182, 22218])).
% 34.55/23.23 tff(22226,plain,
% 34.55/23.23 (v26(constB151)),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22225, 22217])).
% 34.55/23.23 tff(22227,plain,
% 34.55/23.23 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB151)) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB151)) | (~v127(constB151, bitIndex0)))),
% 34.55/23.23 inference(rewrite,[status(thm)],[])).
% 34.55/23.23 tff(22228,plain,
% 34.55/23.23 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB151)) | (~v127(constB151, bitIndex0)))),
% 34.55/23.23 inference(quant_inst,[status(thm)],[])).
% 34.55/23.23 tff(22229,plain,
% 34.55/23.23 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB151)) | (~v127(constB151, bitIndex0))),
% 34.55/23.23 inference(modus_ponens,[status(thm)],[22228, 22227])).
% 34.55/23.23 tff(22230,plain,
% 34.55/23.23 ($false),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22229, 3012, 22217, 22226])).
% 34.55/23.23 tff(22231,plain,((~v127(constB151, bitIndex0)) | v130(constB151, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.55/23.23 tff(22232,plain,
% 34.55/23.23 (~v127(constB151, bitIndex0)),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22231, 22216])).
% 34.55/23.23 tff(22233,plain,
% 34.55/23.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 34.55/23.23 inference(rewrite,[status(thm)],[])).
% 34.55/23.23 tff(22234,plain,
% 34.55/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 34.55/23.23 inference(quant_inst,[status(thm)],[])).
% 34.55/23.23 tff(22235,plain,
% 34.55/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 34.55/23.23 inference(modus_ponens,[status(thm)],[22234, 22233])).
% 34.55/23.23 tff(22236,plain,
% 34.55/23.23 (v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22235, 1200, 22123])).
% 34.55/23.23 tff(22237,plain,
% 34.55/23.23 (~v129(constB152, bitIndex0)),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22236, 22232])).
% 34.55/23.23 tff(22238,plain,
% 34.55/23.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 34.55/23.23 inference(rewrite,[status(thm)],[])).
% 34.55/23.23 tff(22239,plain,
% 34.55/23.23 (((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0)) <=> ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 34.55/23.23 inference(rewrite,[status(thm)],[])).
% 34.55/23.23 tff(22240,plain,
% 34.55/23.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))))),
% 34.55/23.23 inference(monotonicity,[status(thm)],[22239])).
% 34.55/23.23 tff(22241,plain,
% 34.55/23.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 34.55/23.23 inference(transitivity,[status(thm)],[22240, 22238])).
% 34.55/23.23 tff(22242,plain,
% 34.55/23.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))),
% 34.55/23.23 inference(quant_inst,[status(thm)],[])).
% 34.55/23.23 tff(22243,plain,
% 34.55/23.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))),
% 34.55/23.23 inference(modus_ponens,[status(thm)],[22242, 22241])).
% 34.55/23.23 tff(22244,plain,
% 34.55/23.23 ((~v90(constB152, bitIndex0)) | (~v100(constB152))),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22243, 1215, 22237])).
% 34.55/23.23 tff(22245,plain,
% 34.55/23.23 (~v90(constB152, bitIndex0)),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22244, 22163])).
% 34.55/23.23 tff(22246,plain,
% 34.55/23.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 34.55/23.23 inference(rewrite,[status(thm)],[])).
% 34.55/23.23 tff(22247,plain,
% 34.55/23.23 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))) <=> (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 34.55/23.23 inference(rewrite,[status(thm)],[])).
% 34.55/23.23 tff(22248,plain,
% 34.55/23.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0))))),
% 34.55/23.23 inference(monotonicity,[status(thm)],[22247])).
% 34.55/23.23 tff(22249,plain,
% 34.55/23.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 34.55/23.23 inference(transitivity,[status(thm)],[22248, 22246])).
% 34.55/23.23 tff(22250,plain,
% 34.55/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 34.55/23.23 inference(quant_inst,[status(thm)],[])).
% 34.55/23.23 tff(22251,plain,
% 34.55/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 34.55/23.23 inference(modus_ponens,[status(thm)],[22250, 22249])).
% 34.55/23.23 tff(22252,plain,
% 34.55/23.23 (v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22251, 455, 22191])).
% 34.55/23.23 tff(22253,plain,
% 34.55/23.23 (v90(constB152, bitIndex0) | (~v90(constB153, bitIndex0))),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22252, 22203])).
% 34.55/23.23 tff(22254,plain,
% 34.55/23.23 (~v90(constB153, bitIndex0)),
% 34.55/23.23 inference(unit_resolution,[status(thm)],[22253, 22245])).
% 34.55/23.23 tff(22255,plain,
% 34.55/23.23 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 34.64/23.23 inference(rewrite,[status(thm)],[])).
% 34.64/23.23 tff(22256,plain,
% 34.64/23.23 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 34.64/23.23 inference(quant_inst,[status(thm)],[])).
% 34.64/23.23 tff(22257,plain,
% 34.64/23.23 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1))),
% 34.64/23.23 inference(modus_ponens,[status(thm)],[22256, 22255])).
% 34.64/23.23 tff(22258,plain,
% 34.64/23.23 (~v130(constB151, bitIndex1)),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22257, 1677, 22088])).
% 34.64/23.23 tff(22259,plain,
% 34.64/23.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 34.64/23.23 inference(rewrite,[status(thm)],[])).
% 34.64/23.23 tff(22260,plain,
% 34.64/23.23 ((v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1))) <=> ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 34.64/23.23 inference(rewrite,[status(thm)],[])).
% 34.64/23.23 tff(22261,plain,
% 34.64/23.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)))),
% 34.64/23.23 inference(monotonicity,[status(thm)],[22260])).
% 34.64/23.23 tff(22262,plain,
% 34.64/23.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 34.64/23.23 inference(transitivity,[status(thm)],[22261, 22259])).
% 34.64/23.23 tff(22263,plain,
% 34.64/23.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))),
% 34.64/23.23 inference(quant_inst,[status(thm)],[])).
% 34.64/23.23 tff(22264,plain,
% 34.64/23.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)),
% 34.64/23.23 inference(modus_ponens,[status(thm)],[22263, 22262])).
% 34.64/23.23 tff(22265,plain,
% 34.64/23.23 ((~v127(constB151, bitIndex1)) | v130(constB151, bitIndex1)),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22264, 781, 22108])).
% 34.64/23.23 tff(22266,plain,
% 34.64/23.23 (~v127(constB151, bitIndex1)),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22265, 22258])).
% 34.64/23.23 tff(22267,plain,
% 34.64/23.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 34.64/23.23 inference(rewrite,[status(thm)],[])).
% 34.64/23.23 tff(22268,plain,
% 34.64/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 34.64/23.23 inference(quant_inst,[status(thm)],[])).
% 34.64/23.23 tff(22269,plain,
% 34.64/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 34.64/23.23 inference(modus_ponens,[status(thm)],[22268, 22267])).
% 34.64/23.23 tff(22270,plain,
% 34.64/23.23 (v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22269, 799, 22123])).
% 34.64/23.23 tff(22271,plain,
% 34.64/23.23 (~v129(constB152, bitIndex1)),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22270, 22266])).
% 34.64/23.23 tff(22272,plain,
% 34.64/23.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 34.64/23.23 inference(rewrite,[status(thm)],[])).
% 34.64/23.23 tff(22273,plain,
% 34.64/23.23 (((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1)) <=> ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 34.64/23.23 inference(rewrite,[status(thm)],[])).
% 34.64/23.23 tff(22274,plain,
% 34.64/23.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))))),
% 34.64/23.23 inference(monotonicity,[status(thm)],[22273])).
% 34.64/23.23 tff(22275,plain,
% 34.64/23.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 34.64/23.23 inference(transitivity,[status(thm)],[22274, 22272])).
% 34.64/23.23 tff(22276,plain,
% 34.64/23.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))),
% 34.64/23.23 inference(quant_inst,[status(thm)],[])).
% 34.64/23.23 tff(22277,plain,
% 34.64/23.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))),
% 34.64/23.23 inference(modus_ponens,[status(thm)],[22276, 22275])).
% 34.64/23.23 tff(22278,plain,
% 34.64/23.23 ((~v90(constB152, bitIndex1)) | (~v100(constB152))),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22277, 814, 22271])).
% 34.64/23.23 tff(22279,plain,
% 34.64/23.23 (~v90(constB152, bitIndex1)),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22278, 22163])).
% 34.64/23.23 tff(22280,plain,
% 34.64/23.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 34.64/23.23 inference(rewrite,[status(thm)],[])).
% 34.64/23.23 tff(22281,plain,
% 34.64/23.23 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))) <=> (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 34.64/23.23 inference(rewrite,[status(thm)],[])).
% 34.64/23.23 tff(22282,plain,
% 34.64/23.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1))))),
% 34.64/23.23 inference(monotonicity,[status(thm)],[22281])).
% 34.64/23.23 tff(22283,plain,
% 34.64/23.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 34.64/23.23 inference(transitivity,[status(thm)],[22282, 22280])).
% 34.64/23.23 tff(22284,plain,
% 34.64/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 34.64/23.23 inference(quant_inst,[status(thm)],[])).
% 34.64/23.23 tff(22285,plain,
% 34.64/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 34.64/23.23 inference(modus_ponens,[status(thm)],[22284, 22283])).
% 34.64/23.23 tff(22286,plain,
% 34.64/23.23 (v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22285, 434, 22191])).
% 34.64/23.23 tff(22287,plain,
% 34.64/23.23 (v90(constB152, bitIndex1) | (~v90(constB153, bitIndex1))),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22286, 22203])).
% 34.64/23.23 tff(22288,plain,
% 34.64/23.23 (~v90(constB153, bitIndex1)),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22287, 22279])).
% 34.64/23.23 tff(22289,assumption,(~v123(constB153)), introduced(assumption)).
% 34.64/23.23 tff(22290,plain,
% 34.64/23.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 34.64/23.23 inference(rewrite,[status(thm)],[])).
% 34.64/23.23 tff(22291,plain,
% 34.64/23.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 34.64/23.23 inference(quant_inst,[status(thm)],[])).
% 34.64/23.23 tff(22292,plain,
% 34.64/23.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153)),
% 34.64/23.23 inference(modus_ponens,[status(thm)],[22291, 22290])).
% 34.64/23.23 tff(22293,plain,
% 34.64/23.23 (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2))),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22292, 1765, 22289])).
% 34.64/23.23 tff(22294,plain,
% 34.64/23.23 ($false),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22293, 22288, 22254, 22212])).
% 34.64/23.23 tff(22295,plain,((~v122(constB151)) | v123(constB153)), inference(lemma,lemma(discharge,[]))).
% 34.64/23.23 tff(22296,plain,
% 34.64/23.23 (v123(constB153)),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22295, 22087])).
% 34.64/23.23 tff(22297,plain,
% 34.64/23.23 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB153)) | v130(constB153, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB153)) | v130(constB153, bitIndex0))),
% 34.64/23.23 inference(rewrite,[status(thm)],[])).
% 34.64/23.23 tff(22298,plain,
% 34.64/23.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB153)) | v130(constB153, bitIndex0))),
% 34.64/23.23 inference(quant_inst,[status(thm)],[])).
% 34.64/23.23 tff(22299,plain,
% 34.64/23.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB153)) | v130(constB153, bitIndex0)),
% 34.64/23.23 inference(modus_ponens,[status(thm)],[22298, 22297])).
% 34.64/23.23 tff(22300,plain,
% 34.64/23.23 (v130(constB153, bitIndex0)),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22299, 1953, 22296])).
% 34.64/23.23 tff(22301,assumption,(v26(constB153)), introduced(assumption)).
% 34.64/23.23 tff(22302,plain,
% 34.64/23.23 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB153))),
% 34.64/23.23 inference(quant_inst,[status(thm)],[])).
% 34.64/23.23 tff(22303,plain,
% 34.64/23.23 ($false),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22302, 120, 22301])).
% 34.64/23.23 tff(22304,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 34.64/23.23 tff(22305,plain,
% 34.64/23.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))),
% 34.64/23.23 inference(rewrite,[status(thm)],[])).
% 34.64/23.23 tff(22306,plain,
% 34.64/23.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))),
% 34.64/23.23 inference(quant_inst,[status(thm)],[])).
% 34.64/23.23 tff(22307,plain,
% 34.64/23.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0)),
% 34.64/23.23 inference(modus_ponens,[status(thm)],[22306, 22305])).
% 34.64/23.23 tff(22308,plain,
% 34.64/23.23 ((~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0)),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22307, 855, 22304])).
% 34.64/23.23 tff(22309,plain,
% 34.64/23.23 (v127(constB153, bitIndex0)),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22308, 22300])).
% 34.64/23.23 tff(22310,plain,
% 34.64/23.23 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 34.64/23.23 inference(rewrite,[status(thm)],[])).
% 34.64/23.23 tff(22311,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 34.64/23.23 tff(22312,plain,
% 34.64/23.23 (nextState(constB153, constB154)),
% 34.64/23.23 inference(modus_ponens,[status(thm)],[22311, 22310])).
% 34.64/23.23 tff(22313,plain,
% 34.64/23.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))),
% 34.64/23.23 inference(rewrite,[status(thm)],[])).
% 34.64/23.23 tff(22314,plain,
% 34.64/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))),
% 34.64/23.23 inference(quant_inst,[status(thm)],[])).
% 34.64/23.23 tff(22315,plain,
% 34.64/23.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0)),
% 34.64/23.23 inference(modus_ponens,[status(thm)],[22314, 22313])).
% 34.64/23.23 tff(22316,plain,
% 34.64/23.23 ((~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0)),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22315, 870, 22312])).
% 34.64/23.23 tff(22317,plain,
% 34.64/23.23 (v129(constB154, bitIndex0)),
% 34.64/23.23 inference(unit_resolution,[status(thm)],[22316, 22309])).
% 34.64/23.23 tff(22318,assumption,(~v100(constB154)), introduced(assumption)).
% 34.64/23.23 tff(22319,plain,
% 34.64/23.23 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 34.64/23.23 inference(rewrite,[status(thm)],[])).
% 34.64/23.23 tff(22320,plain,
% 34.64/23.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 34.64/23.23 inference(quant_inst,[status(thm)],[])).
% 34.64/23.23 tff(22321,plain,
% 34.64/23.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22320, 22319])).
% 34.64/23.24 tff(22322,plain,
% 34.64/23.24 (~v104(constB154)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22321, 603, 22312, 22188])).
% 34.64/23.24 tff(22323,plain,
% 34.64/23.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22324,plain,
% 34.64/23.24 (((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154)) <=> ((~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22325,plain,
% 34.64/23.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | v102(constB154)))),
% 34.64/23.24 inference(monotonicity,[status(thm)],[22324])).
% 34.64/23.24 tff(22326,plain,
% 34.64/23.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))),
% 34.64/23.24 inference(transitivity,[status(thm)],[22325, 22323])).
% 34.64/23.24 tff(22327,plain,
% 34.64/23.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22328,plain,
% 34.64/23.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | v102(constB154)),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22327, 22326])).
% 34.64/23.24 tff(22329,plain,
% 34.64/23.24 (v104(constB154) | v102(constB154)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22328, 617, 22312])).
% 34.64/23.24 tff(22330,plain,
% 34.64/23.24 (v102(constB154)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22329, 22322])).
% 34.64/23.24 tff(22331,plain,
% 34.64/23.24 (v1(constB154) <=> v1(constB154)),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22332,axiom,(v1(constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 34.64/23.24 tff(22333,plain,
% 34.64/23.24 (v1(constB154)),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22332, 22331])).
% 34.64/23.24 tff(22334,plain,
% 34.64/23.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22335,plain,
% 34.64/23.24 (((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154))) <=> ((~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22336,plain,
% 34.64/23.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154))))),
% 34.64/23.24 inference(monotonicity,[status(thm)],[22335])).
% 34.64/23.24 tff(22337,plain,
% 34.64/23.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))),
% 34.64/23.24 inference(transitivity,[status(thm)],[22336, 22334])).
% 34.64/23.24 tff(22338,plain,
% 34.64/23.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22339,plain,
% 34.64/23.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22338, 22337])).
% 34.64/23.24 tff(22340,plain,
% 34.64/23.24 (v101(constB154) | (~v102(constB154))),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22339, 638, 22312, 22333])).
% 34.64/23.24 tff(22341,plain,
% 34.64/23.24 (v101(constB154)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22340, 22330])).
% 34.64/23.24 tff(22342,plain,
% 34.64/23.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22343,plain,
% 34.64/23.24 (((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154)) <=> ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22344,plain,
% 34.64/23.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))))),
% 34.64/23.24 inference(monotonicity,[status(thm)],[22343])).
% 34.64/23.24 tff(22345,plain,
% 34.64/23.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 34.64/23.24 inference(transitivity,[status(thm)],[22344, 22342])).
% 34.64/23.24 tff(22346,plain,
% 34.64/23.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22347,plain,
% 34.64/23.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22346, 22345])).
% 34.64/23.24 tff(22348,plain,
% 34.64/23.24 (v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22347, 656, 22312])).
% 34.64/23.24 tff(22349,plain,
% 34.64/23.24 (v100(constB154) | (~v110(constB154))),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22348, 22341])).
% 34.64/23.24 tff(22350,plain,
% 34.64/23.24 (~v110(constB154)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22349, 22318])).
% 34.64/23.24 tff(22351,plain,
% 34.64/23.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22352,plain,
% 34.64/23.24 (((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154)) <=> ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22353,plain,
% 34.64/23.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))))),
% 34.64/23.24 inference(monotonicity,[status(thm)],[22352])).
% 34.64/23.24 tff(22354,plain,
% 34.64/23.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 34.64/23.24 inference(transitivity,[status(thm)],[22353, 22351])).
% 34.64/23.24 tff(22355,plain,
% 34.64/23.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22356,plain,
% 34.64/23.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22355, 22354])).
% 34.64/23.24 tff(22357,plain,
% 34.64/23.24 (v110(constB154) | (~v108(constB153))),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22356, 585, 22312])).
% 34.64/23.24 tff(22358,plain,
% 34.64/23.24 (~v108(constB153)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22357, 22350])).
% 34.64/23.24 tff(22359,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB153) | (~v112(constB153)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB153) | (~v112(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22360,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB153) | (~v112(constB153)))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22361,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB153) | (~v112(constB153))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22360, 22359])).
% 34.64/23.24 tff(22362,plain,
% 34.64/23.24 (~v112(constB153)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22361, 568, 22358])).
% 34.64/23.24 tff(22363,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | v112(constB153) | (~v113(constB153)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22364,plain,
% 34.64/23.24 ((v26(constB153) | (~v113(constB153)) | v112(constB153)) <=> (v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22365,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | v112(constB153) | (~v113(constB153))))),
% 34.64/23.24 inference(monotonicity,[status(thm)],[22364])).
% 34.64/23.24 tff(22366,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 34.64/23.24 inference(transitivity,[status(thm)],[22365, 22363])).
% 34.64/23.24 tff(22367,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22368,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22367, 22366])).
% 34.64/23.24 tff(22369,plain,
% 34.64/23.24 (v112(constB153) | (~v113(constB153))),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22368, 556, 22304])).
% 34.64/23.24 tff(22370,plain,
% 34.64/23.24 (~v113(constB153)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22369, 22362])).
% 34.64/23.24 tff(22371,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB153) | (~v114(constB153)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB153) | (~v114(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22372,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB153) | (~v114(constB153)))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22373,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB153) | (~v114(constB153))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22372, 22371])).
% 34.64/23.24 tff(22374,plain,
% 34.64/23.24 (~v114(constB153)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22373, 542, 22370])).
% 34.64/23.24 tff(22375,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB153) | (~v124(constB153)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB153) | (~v124(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22376,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB153) | (~v124(constB153)))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22377,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB153) | (~v124(constB153))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22376, 22375])).
% 34.64/23.24 tff(22378,plain,
% 34.64/23.24 (~v124(constB153)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22377, 2005, 22374])).
% 34.64/23.24 tff(22379,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB153) | (~v115(constB153)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB153) | (~v115(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22380,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB153) | (~v115(constB153)))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22381,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB153) | (~v115(constB153))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22380, 22379])).
% 34.64/23.24 tff(22382,plain,
% 34.64/23.24 (~v115(constB153)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22381, 531, 22374])).
% 34.64/23.24 tff(22383,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB153) | (~v116(constB153)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB153) | (~v116(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22384,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB153) | (~v116(constB153)))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22385,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB153) | (~v116(constB153))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22384, 22383])).
% 34.64/23.24 tff(22386,plain,
% 34.64/23.24 (~v116(constB153)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22385, 520, 22382])).
% 34.64/23.24 tff(22387,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB153) | (~v117(constB153)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB153) | (~v117(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22388,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB153) | (~v117(constB153)))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22389,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB153) | (~v117(constB153))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22388, 22387])).
% 34.64/23.24 tff(22390,plain,
% 34.64/23.24 (~v117(constB153)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22389, 509, 22386])).
% 34.64/23.24 tff(22391,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB153) | (~v118(constB153)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB153) | (~v118(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22392,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB153) | (~v118(constB153)))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22393,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB153) | (~v118(constB153))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22392, 22391])).
% 34.64/23.24 tff(22394,plain,
% 34.64/23.24 (~v118(constB153)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22393, 498, 22390])).
% 34.64/23.24 tff(22395,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB153) | (~v120(constB153)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB153) | (~v120(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22396,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB153) | (~v120(constB153)))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22397,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB153) | (~v120(constB153))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22396, 22395])).
% 34.64/23.24 tff(22398,plain,
% 34.64/23.24 (~v120(constB153)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22397, 936, 22394])).
% 34.64/23.24 tff(22399,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB153) | (~v121(constB153)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB153) | (~v121(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22400,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB153) | (~v121(constB153)))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22401,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB153) | (~v121(constB153))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22400, 22399])).
% 34.64/23.24 tff(22402,plain,
% 34.64/23.24 (~v121(constB153)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22401, 1253, 22390])).
% 34.64/23.24 tff(22403,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB153) | (~v123(constB153)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB153) | (~v123(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22404,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB153) | (~v123(constB153)))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22405,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB153) | (~v123(constB153))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22404, 22403])).
% 34.64/23.24 tff(22406,plain,
% 34.64/23.24 (~v123(constB153)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22405, 1776, 22382])).
% 34.64/23.24 tff(22407,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB153) | (~v125(constB153)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB153) | (~v125(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22408,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB153) | (~v125(constB153)))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22409,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB153) | (~v125(constB153))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22408, 22407])).
% 34.64/23.24 tff(22410,plain,
% 34.64/23.24 (~v125(constB153)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22409, 2332, 22370])).
% 34.64/23.24 tff(22411,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB153) | (~v119(constB153)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB153) | (~v119(constB153)))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22412,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB153) | (~v119(constB153)))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22413,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB153) | (~v119(constB153))),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22412, 22411])).
% 34.64/23.24 tff(22414,plain,
% 34.64/23.24 (~v119(constB153)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22413, 487, 22394])).
% 34.64/23.24 tff(22415,assumption,(~v90(constB153, bitIndex0)), introduced(assumption)).
% 34.64/23.24 tff(22416,assumption,(~v119(constB153)), introduced(assumption)).
% 34.64/23.24 tff(22417,assumption,(~v90(constB153, bitIndex1)), introduced(assumption)).
% 34.64/23.24 tff(22418,plain,
% 34.64/23.24 (~v90(constB153, bitIndex2)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22293, 22417, 22415])).
% 34.64/23.24 tff(22419,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB153) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB153) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22420,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB153) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22421,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB153) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2)),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22420, 22419])).
% 34.64/23.24 tff(22422,plain,
% 34.64/23.24 (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22421, 476, 22416])).
% 34.64/23.24 tff(22423,plain,
% 34.64/23.24 ($false),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22422, 22418, 22417, 22415])).
% 34.64/23.24 tff(22424,plain,(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | v119(constB153) | v123(constB153)), inference(lemma,lemma(discharge,[]))).
% 34.64/23.24 tff(22425,plain,
% 34.64/23.24 (v90(constB153, bitIndex1)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22424, 22415, 22416, 22289])).
% 34.64/23.24 tff(22426,assumption,(~v125(constB153)), introduced(assumption)).
% 34.64/23.24 tff(22427,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | (~v90(constB153, bitIndex2)) | v125(constB153))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | (~v90(constB153, bitIndex2)) | v125(constB153))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22428,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | (~v90(constB153, bitIndex2)) | v125(constB153))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22429,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | (~v90(constB153, bitIndex2)) | v125(constB153)),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22428, 22427])).
% 34.64/23.24 tff(22430,plain,
% 34.64/23.24 (v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | (~v90(constB153, bitIndex2))),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22429, 2321, 22426])).
% 34.64/23.24 tff(22431,plain,
% 34.64/23.24 (~v90(constB153, bitIndex2)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22430, 22425, 22415])).
% 34.64/23.24 tff(22432,assumption,(~v121(constB153)), introduced(assumption)).
% 34.64/23.24 tff(22433,plain,
% 34.64/23.24 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v121(constB153))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v121(constB153))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22434,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v121(constB153))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22435,plain,
% 34.64/23.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v121(constB153)),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22434, 22433])).
% 34.64/23.24 tff(22436,plain,
% 34.64/23.24 (v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22435, 1242, 22432])).
% 34.64/23.24 tff(22437,plain,
% 34.64/23.24 ($false),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22436, 22431, 22425, 22415])).
% 34.64/23.24 tff(22438,plain,(v90(constB153, bitIndex0) | v121(constB153) | v125(constB153) | v119(constB153) | v123(constB153)), inference(lemma,lemma(discharge,[]))).
% 34.64/23.24 tff(22439,plain,
% 34.64/23.24 (v90(constB153, bitIndex0)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22438, 22414, 22410, 22406, 22402])).
% 34.64/23.24 tff(22440,assumption,(v90(constB153, bitIndex0)), introduced(assumption)).
% 34.64/23.24 tff(22441,assumption,(~v124(constB153)), introduced(assumption)).
% 34.64/23.24 tff(22442,plain,
% 34.64/23.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v124(constB153))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v124(constB153))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22443,plain,
% 34.64/23.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v124(constB153))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22444,plain,
% 34.64/23.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v124(constB153)),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22443, 22442])).
% 34.64/23.24 tff(22445,plain,
% 34.64/23.24 ((~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2))),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22444, 1994, 22441])).
% 34.64/23.24 tff(22446,plain,
% 34.64/23.24 (~v90(constB153, bitIndex2)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22445, 22417, 22440])).
% 34.64/23.24 tff(22447,assumption,(~v120(constB153)), introduced(assumption)).
% 34.64/23.24 tff(22448,plain,
% 34.64/23.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v120(constB153))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v120(constB153))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22449,plain,
% 34.64/23.24 (((~v90(constB153, bitIndex0)) | v120(constB153) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2)) <=> ((~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v120(constB153))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22450,plain,
% 34.64/23.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB153, bitIndex0)) | v120(constB153) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v120(constB153)))),
% 34.64/23.24 inference(monotonicity,[status(thm)],[22449])).
% 34.64/23.24 tff(22451,plain,
% 34.64/23.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB153, bitIndex0)) | v120(constB153) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v120(constB153))),
% 34.64/23.24 inference(transitivity,[status(thm)],[22450, 22448])).
% 34.64/23.24 tff(22452,plain,
% 34.64/23.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB153, bitIndex0)) | v120(constB153) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2))),
% 34.64/23.24 inference(quant_inst,[status(thm)],[])).
% 34.64/23.24 tff(22453,plain,
% 34.64/23.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v120(constB153)),
% 34.64/23.24 inference(modus_ponens,[status(thm)],[22452, 22451])).
% 34.64/23.24 tff(22454,plain,
% 34.64/23.24 ((~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22453, 922, 22447])).
% 34.64/23.24 tff(22455,plain,
% 34.64/23.24 ($false),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22454, 22446, 22417, 22440])).
% 34.64/23.24 tff(22456,plain,(v90(constB153, bitIndex1) | (~v90(constB153, bitIndex0)) | v120(constB153) | v124(constB153)), inference(lemma,lemma(discharge,[]))).
% 34.64/23.24 tff(22457,plain,
% 34.64/23.24 (v90(constB153, bitIndex1)),
% 34.64/23.24 inference(unit_resolution,[status(thm)],[22456, 22439, 22398, 22378])).
% 34.64/23.24 tff(22458,plain,
% 34.64/23.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB153, bitIndex1)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB153, bitIndex1)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex1))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22459,plain,
% 34.64/23.24 (((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex1)) | v100(constB154) | v90(constB154, bitIndex1)) <=> ((~v90(constB153, bitIndex1)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex1))),
% 34.64/23.24 inference(rewrite,[status(thm)],[])).
% 34.64/23.24 tff(22460,plain,
% 34.64/23.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex1)) | v100(constB154) | v90(constB154, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB153, bitIndex1)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex1)))),
% 34.64/23.24 inference(monotonicity,[status(thm)],[22459])).
% 34.64/23.24 tff(22461,plain,
% 34.64/23.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex1)) | v100(constB154) | v90(constB154, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB153, bitIndex1)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex1))),
% 34.64/23.25 inference(transitivity,[status(thm)],[22460, 22458])).
% 34.64/23.25 tff(22462,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex1)) | v100(constB154) | v90(constB154, bitIndex1))),
% 34.64/23.25 inference(quant_inst,[status(thm)],[])).
% 34.64/23.25 tff(22463,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB153, bitIndex1)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex1)),
% 34.64/23.25 inference(modus_ponens,[status(thm)],[22462, 22461])).
% 34.64/23.25 tff(22464,plain,
% 34.64/23.25 ((~v90(constB153, bitIndex1)) | v100(constB154) | v90(constB154, bitIndex1)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22463, 1149, 22312])).
% 34.64/23.25 tff(22465,plain,
% 34.64/23.25 (v90(constB154, bitIndex1)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22464, 22457, 22318])).
% 34.64/23.25 tff(22466,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB153, bitIndex0)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB153, bitIndex0)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex0))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22467,plain,
% 34.64/23.25 (((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex0)) | v100(constB154) | v90(constB154, bitIndex0)) <=> ((~v90(constB153, bitIndex0)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex0))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22468,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex0)) | v100(constB154) | v90(constB154, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB153, bitIndex0)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex0)))),
% 34.64/23.25 inference(monotonicity,[status(thm)],[22467])).
% 34.64/23.25 tff(22469,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex0)) | v100(constB154) | v90(constB154, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB153, bitIndex0)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex0))),
% 34.64/23.25 inference(transitivity,[status(thm)],[22468, 22466])).
% 34.64/23.25 tff(22470,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex0)) | v100(constB154) | v90(constB154, bitIndex0))),
% 34.64/23.25 inference(quant_inst,[status(thm)],[])).
% 34.64/23.25 tff(22471,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB153, bitIndex0)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex0)),
% 34.64/23.25 inference(modus_ponens,[status(thm)],[22470, 22469])).
% 34.64/23.25 tff(22472,plain,
% 34.64/23.25 ((~v90(constB153, bitIndex0)) | v100(constB154) | v90(constB154, bitIndex0)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22471, 903, 22312])).
% 34.64/23.25 tff(22473,plain,
% 34.64/23.25 (v90(constB154, bitIndex0)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22472, 22439, 22318])).
% 34.64/23.25 tff(22474,plain,
% 34.64/23.25 (~v122(constB151)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22295, 22406])).
% 34.64/23.25 tff(22475,plain,
% 34.64/23.25 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB153) | (~v122(constB153)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB153) | (~v122(constB153)))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22476,plain,
% 34.64/23.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB153) | (~v122(constB153)))),
% 34.64/23.25 inference(quant_inst,[status(thm)],[])).
% 34.64/23.25 tff(22477,plain,
% 34.64/23.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB153) | (~v122(constB153))),
% 34.64/23.25 inference(modus_ponens,[status(thm)],[22476, 22475])).
% 34.64/23.25 tff(22478,plain,
% 34.64/23.25 (~v122(constB153)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22477, 1497, 22386])).
% 34.64/23.25 tff(22479,plain,
% 34.64/23.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB153, bitIndex0)) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v122(constB153))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB153, bitIndex0)) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v122(constB153))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22480,plain,
% 34.64/23.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB153, bitIndex0)) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v122(constB153))),
% 34.64/23.25 inference(quant_inst,[status(thm)],[])).
% 34.64/23.25 tff(22481,plain,
% 34.64/23.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB153, bitIndex0)) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v122(constB153)),
% 34.64/23.25 inference(modus_ponens,[status(thm)],[22480, 22479])).
% 34.64/23.25 tff(22482,plain,
% 34.64/23.25 ((~v90(constB153, bitIndex0)) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22481, 1486, 22478])).
% 34.64/23.25 tff(22483,plain,
% 34.64/23.25 (v90(constB153, bitIndex2)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22482, 22457, 22439])).
% 34.64/23.25 tff(22484,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex2))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22485,plain,
% 34.64/23.25 (((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex2)) | v100(constB154) | v90(constB154, bitIndex2)) <=> ((~v90(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex2))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22486,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex2)) | v100(constB154) | v90(constB154, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex2)))),
% 34.64/23.25 inference(monotonicity,[status(thm)],[22485])).
% 34.64/23.25 tff(22487,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex2)) | v100(constB154) | v90(constB154, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex2))),
% 34.64/23.25 inference(transitivity,[status(thm)],[22486, 22484])).
% 34.64/23.25 tff(22488,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex2)) | v100(constB154) | v90(constB154, bitIndex2))),
% 34.64/23.25 inference(quant_inst,[status(thm)],[])).
% 34.64/23.25 tff(22489,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex2)),
% 34.64/23.25 inference(modus_ponens,[status(thm)],[22488, 22487])).
% 34.64/23.25 tff(22490,plain,
% 34.64/23.25 ((~v90(constB153, bitIndex2)) | v100(constB154) | v90(constB154, bitIndex2)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22489, 1658, 22312])).
% 34.64/23.25 tff(22491,plain,
% 34.64/23.25 (v90(constB154, bitIndex2)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22490, 22483, 22318])).
% 34.64/23.25 tff(22492,assumption,(v90(constB154, bitIndex0)), introduced(assumption)).
% 34.64/23.25 tff(22493,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0)))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22494,plain,
% 34.64/23.25 (((~nextState(constB153, constB154)) | v90(constB153, bitIndex0) | v100(constB154) | (~v90(constB154, bitIndex0))) <=> (v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0)))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22495,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex0) | v100(constB154) | (~v90(constB154, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0))))),
% 34.64/23.25 inference(monotonicity,[status(thm)],[22494])).
% 34.64/23.25 tff(22496,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex0) | v100(constB154) | (~v90(constB154, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0)))),
% 34.64/23.25 inference(transitivity,[status(thm)],[22495, 22493])).
% 34.64/23.25 tff(22497,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex0) | v100(constB154) | (~v90(constB154, bitIndex0)))),
% 34.64/23.25 inference(quant_inst,[status(thm)],[])).
% 34.64/23.25 tff(22498,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0))),
% 34.64/23.25 inference(modus_ponens,[status(thm)],[22497, 22496])).
% 34.64/23.25 tff(22499,plain,
% 34.64/23.25 (v90(constB153, bitIndex0) | v100(constB154) | (~v90(constB154, bitIndex0))),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22498, 455, 22312])).
% 34.64/23.25 tff(22500,plain,
% 34.64/23.25 (v90(constB153, bitIndex0)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22499, 22318, 22492])).
% 34.64/23.25 tff(22501,plain,
% 34.64/23.25 (v90(constB152, bitIndex0)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22253, 22500])).
% 34.64/23.25 tff(22502,assumption,(v90(constB154, bitIndex2)), introduced(assumption)).
% 34.64/23.25 tff(22503,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB153, bitIndex2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB153, bitIndex2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex2)))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22504,plain,
% 34.64/23.25 (((~nextState(constB153, constB154)) | v90(constB153, bitIndex2) | v100(constB154) | (~v90(constB154, bitIndex2))) <=> (v90(constB153, bitIndex2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex2)))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22505,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex2) | v100(constB154) | (~v90(constB154, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB153, bitIndex2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex2))))),
% 34.64/23.25 inference(monotonicity,[status(thm)],[22504])).
% 34.64/23.25 tff(22506,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex2) | v100(constB154) | (~v90(constB154, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB153, bitIndex2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex2)))),
% 34.64/23.25 inference(transitivity,[status(thm)],[22505, 22503])).
% 34.64/23.25 tff(22507,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex2) | v100(constB154) | (~v90(constB154, bitIndex2)))),
% 34.64/23.25 inference(quant_inst,[status(thm)],[])).
% 34.64/23.25 tff(22508,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB153, bitIndex2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex2))),
% 34.64/23.25 inference(modus_ponens,[status(thm)],[22507, 22506])).
% 34.64/23.25 tff(22509,plain,
% 34.64/23.25 (v90(constB153, bitIndex2) | v100(constB154) | (~v90(constB154, bitIndex2))),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22508, 413, 22312])).
% 34.64/23.25 tff(22510,plain,
% 34.64/23.25 (v90(constB153, bitIndex2)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22509, 22318, 22502])).
% 34.64/23.25 tff(22511,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex2)))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22512,plain,
% 34.64/23.25 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex2) | v100(constB153) | (~v90(constB153, bitIndex2))) <=> (v90(constB152, bitIndex2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex2)))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22513,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex2) | v100(constB153) | (~v90(constB153, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex2))))),
% 34.64/23.25 inference(monotonicity,[status(thm)],[22512])).
% 34.64/23.25 tff(22514,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex2) | v100(constB153) | (~v90(constB153, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex2)))),
% 34.64/23.25 inference(transitivity,[status(thm)],[22513, 22511])).
% 34.64/23.25 tff(22515,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex2) | v100(constB153) | (~v90(constB153, bitIndex2)))),
% 34.64/23.25 inference(quant_inst,[status(thm)],[])).
% 34.64/23.25 tff(22516,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex2))),
% 34.64/23.25 inference(modus_ponens,[status(thm)],[22515, 22514])).
% 34.64/23.25 tff(22517,plain,
% 34.64/23.25 (v90(constB152, bitIndex2) | v100(constB153) | (~v90(constB153, bitIndex2))),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22516, 413, 22191])).
% 34.64/23.25 tff(22518,plain,
% 34.64/23.25 (v90(constB152, bitIndex2) | (~v90(constB153, bitIndex2))),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22517, 22203])).
% 34.64/23.25 tff(22519,plain,
% 34.64/23.25 (v90(constB152, bitIndex2)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22518, 22510])).
% 34.64/23.25 tff(22520,assumption,(v90(constB154, bitIndex1)), introduced(assumption)).
% 34.64/23.25 tff(22521,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB153, bitIndex1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB153, bitIndex1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex1)))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22522,plain,
% 34.64/23.25 (((~nextState(constB153, constB154)) | v90(constB153, bitIndex1) | v100(constB154) | (~v90(constB154, bitIndex1))) <=> (v90(constB153, bitIndex1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex1)))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22523,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex1) | v100(constB154) | (~v90(constB154, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB153, bitIndex1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex1))))),
% 34.64/23.25 inference(monotonicity,[status(thm)],[22522])).
% 34.64/23.25 tff(22524,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex1) | v100(constB154) | (~v90(constB154, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB153, bitIndex1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex1)))),
% 34.64/23.25 inference(transitivity,[status(thm)],[22523, 22521])).
% 34.64/23.25 tff(22525,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex1) | v100(constB154) | (~v90(constB154, bitIndex1)))),
% 34.64/23.25 inference(quant_inst,[status(thm)],[])).
% 34.64/23.25 tff(22526,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB153, bitIndex1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex1))),
% 34.64/23.25 inference(modus_ponens,[status(thm)],[22525, 22524])).
% 34.64/23.25 tff(22527,plain,
% 34.64/23.25 (v90(constB153, bitIndex1) | v100(constB154) | (~v90(constB154, bitIndex1))),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22526, 434, 22312])).
% 34.64/23.25 tff(22528,plain,
% 34.64/23.25 (v90(constB153, bitIndex1)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22527, 22318, 22520])).
% 34.64/23.25 tff(22529,plain,
% 34.64/23.25 (v90(constB152, bitIndex1)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22287, 22528])).
% 34.64/23.25 tff(22530,assumption,(v90(constB152, bitIndex1)), introduced(assumption)).
% 34.64/23.25 tff(22531,assumption,(~v100(constB152)), introduced(assumption)).
% 34.64/23.25 tff(22532,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB151, bitIndex1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB151, bitIndex1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex1)))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22533,plain,
% 34.64/23.25 (((~nextState(constB151, constB152)) | v90(constB151, bitIndex1) | v100(constB152) | (~v90(constB152, bitIndex1))) <=> (v90(constB151, bitIndex1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex1)))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22534,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex1) | v100(constB152) | (~v90(constB152, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB151, bitIndex1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex1))))),
% 34.64/23.25 inference(monotonicity,[status(thm)],[22533])).
% 34.64/23.25 tff(22535,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex1) | v100(constB152) | (~v90(constB152, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB151, bitIndex1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex1)))),
% 34.64/23.25 inference(transitivity,[status(thm)],[22534, 22532])).
% 34.64/23.25 tff(22536,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex1) | v100(constB152) | (~v90(constB152, bitIndex1)))),
% 34.64/23.25 inference(quant_inst,[status(thm)],[])).
% 34.64/23.25 tff(22537,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB151, bitIndex1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex1))),
% 34.64/23.25 inference(modus_ponens,[status(thm)],[22536, 22535])).
% 34.64/23.25 tff(22538,plain,
% 34.64/23.25 (v90(constB151, bitIndex1) | v100(constB152) | (~v90(constB152, bitIndex1))),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22537, 434, 22123])).
% 34.64/23.25 tff(22539,plain,
% 34.64/23.25 (v90(constB151, bitIndex1)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22538, 22531, 22530])).
% 34.64/23.25 tff(22540,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex1)))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22541,plain,
% 34.64/23.25 (((~nextState(constB150, constB151)) | v90(constB150, bitIndex1) | v100(constB151) | (~v90(constB151, bitIndex1))) <=> (v90(constB150, bitIndex1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex1)))),
% 34.64/23.25 inference(rewrite,[status(thm)],[])).
% 34.64/23.25 tff(22542,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex1) | v100(constB151) | (~v90(constB151, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex1))))),
% 34.64/23.25 inference(monotonicity,[status(thm)],[22541])).
% 34.64/23.25 tff(22543,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex1) | v100(constB151) | (~v90(constB151, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex1)))),
% 34.64/23.25 inference(transitivity,[status(thm)],[22542, 22540])).
% 34.64/23.25 tff(22544,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex1) | v100(constB151) | (~v90(constB151, bitIndex1)))),
% 34.64/23.25 inference(quant_inst,[status(thm)],[])).
% 34.64/23.25 tff(22545,plain,
% 34.64/23.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex1))),
% 34.64/23.25 inference(modus_ponens,[status(thm)],[22544, 22543])).
% 34.64/23.25 tff(22546,plain,
% 34.64/23.25 (v90(constB150, bitIndex1) | v100(constB151) | (~v90(constB151, bitIndex1))),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22545, 434, 21996])).
% 34.64/23.25 tff(22547,plain,
% 34.64/23.25 (v90(constB150, bitIndex1) | (~v90(constB151, bitIndex1))),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22546, 22008])).
% 34.64/23.25 tff(22548,plain,
% 34.64/23.25 (v90(constB150, bitIndex1)),
% 34.64/23.25 inference(unit_resolution,[status(thm)],[22547, 22539])).
% 34.64/23.25 tff(22549,assumption,(v90(constB152, bitIndex0)), introduced(assumption)).
% 34.64/23.25 tff(22550,plain,
% 34.64/23.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB151, bitIndex0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB151, bitIndex0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex0)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22551,plain,
% 34.64/23.26 (((~nextState(constB151, constB152)) | v90(constB151, bitIndex0) | v100(constB152) | (~v90(constB152, bitIndex0))) <=> (v90(constB151, bitIndex0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex0)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22552,plain,
% 34.64/23.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex0) | v100(constB152) | (~v90(constB152, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB151, bitIndex0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex0))))),
% 34.64/23.26 inference(monotonicity,[status(thm)],[22551])).
% 34.64/23.26 tff(22553,plain,
% 34.64/23.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex0) | v100(constB152) | (~v90(constB152, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB151, bitIndex0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex0)))),
% 34.64/23.26 inference(transitivity,[status(thm)],[22552, 22550])).
% 34.64/23.26 tff(22554,plain,
% 34.64/23.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex0) | v100(constB152) | (~v90(constB152, bitIndex0)))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22555,plain,
% 34.64/23.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB151, bitIndex0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex0))),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22554, 22553])).
% 34.64/23.26 tff(22556,plain,
% 34.64/23.26 (v90(constB151, bitIndex0) | v100(constB152) | (~v90(constB152, bitIndex0))),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22555, 455, 22123])).
% 34.64/23.26 tff(22557,plain,
% 34.64/23.26 (v90(constB151, bitIndex0)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22556, 22531, 22549])).
% 34.64/23.26 tff(22558,plain,
% 34.64/23.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex0)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22559,plain,
% 34.64/23.26 (((~nextState(constB150, constB151)) | v90(constB150, bitIndex0) | v100(constB151) | (~v90(constB151, bitIndex0))) <=> (v90(constB150, bitIndex0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex0)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22560,plain,
% 34.64/23.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex0) | v100(constB151) | (~v90(constB151, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex0))))),
% 34.64/23.26 inference(monotonicity,[status(thm)],[22559])).
% 34.64/23.26 tff(22561,plain,
% 34.64/23.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex0) | v100(constB151) | (~v90(constB151, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex0)))),
% 34.64/23.26 inference(transitivity,[status(thm)],[22560, 22558])).
% 34.64/23.26 tff(22562,plain,
% 34.64/23.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex0) | v100(constB151) | (~v90(constB151, bitIndex0)))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22563,plain,
% 34.64/23.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex0))),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22562, 22561])).
% 34.64/23.26 tff(22564,plain,
% 34.64/23.26 (v90(constB150, bitIndex0) | v100(constB151) | (~v90(constB151, bitIndex0))),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22563, 455, 21996])).
% 34.64/23.26 tff(22565,plain,
% 34.64/23.26 (v90(constB150, bitIndex0) | (~v90(constB151, bitIndex0))),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22564, 22008])).
% 34.64/23.26 tff(22566,plain,
% 34.64/23.26 (v90(constB150, bitIndex0)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22565, 22557])).
% 34.64/23.26 tff(22567,assumption,(v90(constB152, bitIndex2)), introduced(assumption)).
% 34.64/23.26 tff(22568,plain,
% 34.64/23.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22569,plain,
% 34.64/23.26 (((~nextState(constB151, constB152)) | v90(constB151, bitIndex2) | v100(constB152) | (~v90(constB152, bitIndex2))) <=> (v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22570,plain,
% 34.64/23.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex2) | v100(constB152) | (~v90(constB152, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2))))),
% 34.64/23.26 inference(monotonicity,[status(thm)],[22569])).
% 34.64/23.26 tff(22571,plain,
% 34.64/23.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex2) | v100(constB152) | (~v90(constB152, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2)))),
% 34.64/23.26 inference(transitivity,[status(thm)],[22570, 22568])).
% 34.64/23.26 tff(22572,plain,
% 34.64/23.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex2) | v100(constB152) | (~v90(constB152, bitIndex2)))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22573,plain,
% 34.64/23.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2))),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22572, 22571])).
% 34.64/23.26 tff(22574,plain,
% 34.64/23.26 (v90(constB151, bitIndex2) | v100(constB152) | (~v90(constB152, bitIndex2))),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22573, 413, 22123])).
% 34.64/23.26 tff(22575,plain,
% 34.64/23.26 (v90(constB151, bitIndex2)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22574, 22531, 22567])).
% 34.64/23.26 tff(22576,plain,
% 34.64/23.26 (v90(constB150, bitIndex2)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22016, 22575])).
% 34.64/23.26 tff(22577,assumption,(v100(constB150)), introduced(assumption)).
% 34.64/23.26 tff(22578,assumption,(v90(constB150, bitIndex2)), introduced(assumption)).
% 34.64/23.26 tff(22579,plain,
% 34.64/23.26 (v129(constB150, bitIndex2) | (~v100(constB150))),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[21988, 722, 22578])).
% 34.64/23.26 tff(22580,plain,
% 34.64/23.26 (v129(constB150, bitIndex2)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22579, 22577])).
% 34.64/23.26 tff(22581,plain,
% 34.64/23.26 (v127(constB149, bitIndex2)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[21981, 22580])).
% 34.64/23.26 tff(22582,plain,
% 34.64/23.26 (v130(constB149, bitIndex2)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[21976, 22581])).
% 34.64/23.26 tff(22583,plain,
% 34.64/23.26 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB149)) | (~v130(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB149)) | (~v130(constB149, bitIndex2)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22584,plain,
% 34.64/23.26 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB149)) | (~v130(constB149, bitIndex2)))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22585,plain,
% 34.64/23.26 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB149)) | (~v130(constB149, bitIndex2))),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22584, 22583])).
% 34.64/23.26 tff(22586,plain,
% 34.64/23.26 (~v119(constB149)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22585, 675, 22582])).
% 34.64/23.26 tff(22587,plain,
% 34.64/23.26 (~v121(constB149)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[21968, 1342, 22582])).
% 34.64/23.26 tff(22588,assumption,(v90(constB150, bitIndex0)), introduced(assumption)).
% 34.64/23.26 tff(22589,plain,
% 34.64/23.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | v129(constB150, bitIndex0) | (~v100(constB150)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | v129(constB150, bitIndex0) | (~v100(constB150)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22590,plain,
% 34.64/23.26 (((~v90(constB150, bitIndex0)) | (~v100(constB150)) | v129(constB150, bitIndex0)) <=> ((~v90(constB150, bitIndex0)) | v129(constB150, bitIndex0) | (~v100(constB150)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22591,plain,
% 34.64/23.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~v100(constB150)) | v129(constB150, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | v129(constB150, bitIndex0) | (~v100(constB150))))),
% 34.64/23.26 inference(monotonicity,[status(thm)],[22590])).
% 34.64/23.26 tff(22592,plain,
% 34.64/23.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~v100(constB150)) | v129(constB150, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | v129(constB150, bitIndex0) | (~v100(constB150)))),
% 34.64/23.26 inference(transitivity,[status(thm)],[22591, 22589])).
% 34.64/23.26 tff(22593,plain,
% 34.64/23.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~v100(constB150)) | v129(constB150, bitIndex0))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22594,plain,
% 34.64/23.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | v129(constB150, bitIndex0) | (~v100(constB150))),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22593, 22592])).
% 34.64/23.26 tff(22595,plain,
% 34.64/23.26 (v129(constB150, bitIndex0) | (~v100(constB150))),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22594, 1215, 22588])).
% 34.64/23.26 tff(22596,plain,
% 34.64/23.26 (v129(constB150, bitIndex0)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22595, 22577])).
% 34.64/23.26 tff(22597,plain,
% 34.64/23.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex0) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex0) | (~v129(constB150, bitIndex0)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22598,plain,
% 34.64/23.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex0) | (~v129(constB150, bitIndex0)))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22599,plain,
% 34.64/23.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex0) | (~v129(constB150, bitIndex0))),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22598, 22597])).
% 34.64/23.26 tff(22600,plain,
% 34.64/23.26 (v127(constB149, bitIndex0) | (~v129(constB150, bitIndex0))),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22599, 1200, 21925])).
% 34.64/23.26 tff(22601,plain,
% 34.64/23.26 (v127(constB149, bitIndex0)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22600, 22596])).
% 34.64/23.26 tff(22602,plain,
% 34.64/23.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB149, bitIndex0)) | v26(constB149) | v130(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB149, bitIndex0)) | v26(constB149) | v130(constB149, bitIndex0))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22603,plain,
% 34.64/23.26 ((v26(constB149) | v130(constB149, bitIndex0) | (~v127(constB149, bitIndex0))) <=> ((~v127(constB149, bitIndex0)) | v26(constB149) | v130(constB149, bitIndex0))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22604,plain,
% 34.64/23.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB149) | v130(constB149, bitIndex0) | (~v127(constB149, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB149, bitIndex0)) | v26(constB149) | v130(constB149, bitIndex0)))),
% 34.64/23.26 inference(monotonicity,[status(thm)],[22603])).
% 34.64/23.26 tff(22605,plain,
% 34.64/23.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB149) | v130(constB149, bitIndex0) | (~v127(constB149, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB149, bitIndex0)) | v26(constB149) | v130(constB149, bitIndex0))),
% 34.64/23.26 inference(transitivity,[status(thm)],[22604, 22602])).
% 34.64/23.26 tff(22606,plain,
% 34.64/23.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB149) | v130(constB149, bitIndex0) | (~v127(constB149, bitIndex0)))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22607,plain,
% 34.64/23.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB149, bitIndex0)) | v26(constB149) | v130(constB149, bitIndex0)),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22606, 22605])).
% 34.64/23.26 tff(22608,plain,
% 34.64/23.26 ((~v127(constB149, bitIndex0)) | v130(constB149, bitIndex0)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22607, 1182, 21913])).
% 34.64/23.26 tff(22609,plain,
% 34.64/23.26 (v130(constB149, bitIndex0)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22608, 22601])).
% 34.64/23.26 tff(22610,plain,
% 34.64/23.26 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB149)) | (~v130(constB149, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB149)) | (~v130(constB149, bitIndex0)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22611,plain,
% 34.64/23.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB149)) | (~v130(constB149, bitIndex0)))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22612,plain,
% 34.64/23.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB149)) | (~v130(constB149, bitIndex0))),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22611, 22610])).
% 34.64/23.26 tff(22613,plain,
% 34.64/23.26 (~v120(constB149)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22612, 1168, 22609])).
% 34.64/23.26 tff(22614,plain,
% 34.64/23.26 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB149)) | (~v130(constB149, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB149)) | (~v130(constB149, bitIndex0)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22615,plain,
% 34.64/23.26 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB149)) | (~v130(constB149, bitIndex0)))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22616,plain,
% 34.64/23.26 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB149)) | (~v130(constB149, bitIndex0))),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22615, 22614])).
% 34.64/23.26 tff(22617,plain,
% 34.64/23.26 (~v122(constB149)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22616, 1721, 22609])).
% 34.64/23.26 tff(22618,plain,
% 34.64/23.26 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB149)) | (~v130(constB149, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB149)) | (~v130(constB149, bitIndex0)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22619,plain,
% 34.64/23.26 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB149)) | (~v130(constB149, bitIndex0)))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22620,plain,
% 34.64/23.26 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB149)) | (~v130(constB149, bitIndex0))),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22619, 22618])).
% 34.64/23.26 tff(22621,plain,
% 34.64/23.26 (~v124(constB149)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22620, 2277, 22609])).
% 34.64/23.26 tff(22622,assumption,(v90(constB150, bitIndex1)), introduced(assumption)).
% 34.64/23.26 tff(22623,plain,
% 34.64/23.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | v129(constB150, bitIndex1) | (~v100(constB150)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | v129(constB150, bitIndex1) | (~v100(constB150)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22624,plain,
% 34.64/23.26 (((~v90(constB150, bitIndex1)) | (~v100(constB150)) | v129(constB150, bitIndex1)) <=> ((~v90(constB150, bitIndex1)) | v129(constB150, bitIndex1) | (~v100(constB150)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22625,plain,
% 34.64/23.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~v100(constB150)) | v129(constB150, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | v129(constB150, bitIndex1) | (~v100(constB150))))),
% 34.64/23.26 inference(monotonicity,[status(thm)],[22624])).
% 34.64/23.26 tff(22626,plain,
% 34.64/23.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~v100(constB150)) | v129(constB150, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | v129(constB150, bitIndex1) | (~v100(constB150)))),
% 34.64/23.26 inference(transitivity,[status(thm)],[22625, 22623])).
% 34.64/23.26 tff(22627,plain,
% 34.64/23.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~v100(constB150)) | v129(constB150, bitIndex1))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22628,plain,
% 34.64/23.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | v129(constB150, bitIndex1) | (~v100(constB150))),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22627, 22626])).
% 34.64/23.26 tff(22629,plain,
% 34.64/23.26 (v129(constB150, bitIndex1) | (~v100(constB150))),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22628, 814, 22622])).
% 34.64/23.26 tff(22630,plain,
% 34.64/23.26 (v129(constB150, bitIndex1)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22629, 22577])).
% 34.64/23.26 tff(22631,plain,
% 34.64/23.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex1) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex1) | (~v129(constB150, bitIndex1)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22632,plain,
% 34.64/23.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex1) | (~v129(constB150, bitIndex1)))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22633,plain,
% 34.64/23.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex1) | (~v129(constB150, bitIndex1))),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22632, 22631])).
% 34.64/23.26 tff(22634,plain,
% 34.64/23.26 (v127(constB149, bitIndex1) | (~v129(constB150, bitIndex1))),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22633, 799, 21925])).
% 34.64/23.26 tff(22635,plain,
% 34.64/23.26 (v127(constB149, bitIndex1)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22634, 22630])).
% 34.64/23.26 tff(22636,plain,
% 34.64/23.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB149, bitIndex1)) | v26(constB149) | v130(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB149, bitIndex1)) | v26(constB149) | v130(constB149, bitIndex1))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22637,plain,
% 34.64/23.26 ((v26(constB149) | v130(constB149, bitIndex1) | (~v127(constB149, bitIndex1))) <=> ((~v127(constB149, bitIndex1)) | v26(constB149) | v130(constB149, bitIndex1))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22638,plain,
% 34.64/23.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB149) | v130(constB149, bitIndex1) | (~v127(constB149, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB149, bitIndex1)) | v26(constB149) | v130(constB149, bitIndex1)))),
% 34.64/23.26 inference(monotonicity,[status(thm)],[22637])).
% 34.64/23.26 tff(22639,plain,
% 34.64/23.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB149) | v130(constB149, bitIndex1) | (~v127(constB149, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB149, bitIndex1)) | v26(constB149) | v130(constB149, bitIndex1))),
% 34.64/23.26 inference(transitivity,[status(thm)],[22638, 22636])).
% 34.64/23.26 tff(22640,plain,
% 34.64/23.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB149) | v130(constB149, bitIndex1) | (~v127(constB149, bitIndex1)))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22641,plain,
% 34.64/23.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB149, bitIndex1)) | v26(constB149) | v130(constB149, bitIndex1)),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22640, 22639])).
% 34.64/23.26 tff(22642,plain,
% 34.64/23.26 ((~v127(constB149, bitIndex1)) | v130(constB149, bitIndex1)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22641, 781, 21913])).
% 34.64/23.26 tff(22643,plain,
% 34.64/23.26 (v130(constB149, bitIndex1)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22642, 22635])).
% 34.64/23.26 tff(22644,plain,
% 34.64/23.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB149, bitIndex1)) | v124(constB149) | v123(constB149) | v122(constB149) | v121(constB149) | v120(constB149) | v119(constB149))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB149, bitIndex1)) | v124(constB149) | v123(constB149) | v122(constB149) | v121(constB149) | v120(constB149) | v119(constB149))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22645,plain,
% 34.64/23.26 ((v120(constB149) | v119(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, bitIndex1))) <=> ((~v130(constB149, bitIndex1)) | v124(constB149) | v123(constB149) | v122(constB149) | v121(constB149) | v120(constB149) | v119(constB149))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22646,plain,
% 34.64/23.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB149) | v119(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB149, bitIndex1)) | v124(constB149) | v123(constB149) | v122(constB149) | v121(constB149) | v120(constB149) | v119(constB149)))),
% 34.64/23.26 inference(monotonicity,[status(thm)],[22645])).
% 34.64/23.26 tff(22647,plain,
% 34.64/23.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB149) | v119(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB149, bitIndex1)) | v124(constB149) | v123(constB149) | v122(constB149) | v121(constB149) | v120(constB149) | v119(constB149))),
% 34.64/23.26 inference(transitivity,[status(thm)],[22646, 22644])).
% 34.64/23.26 tff(22648,plain,
% 34.64/23.26 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB149) | v119(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, bitIndex1)))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22649,plain,
% 34.64/23.26 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB149, bitIndex1)) | v124(constB149) | v123(constB149) | v122(constB149) | v121(constB149) | v120(constB149) | v119(constB149)),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22648, 22647])).
% 34.64/23.26 tff(22650,plain,
% 34.64/23.26 (v123(constB149)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22649, 2448, 22643, 22621, 22617, 22613, 22587, 22586])).
% 34.64/23.26 tff(22651,plain,
% 34.64/23.26 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB149)) | (~v130(constB149, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB149)) | (~v130(constB149, bitIndex1)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22652,plain,
% 34.64/23.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB149)) | (~v130(constB149, bitIndex1)))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22653,plain,
% 34.64/23.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB149)) | (~v130(constB149, bitIndex1))),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22652, 22651])).
% 34.64/23.26 tff(22654,plain,
% 34.64/23.26 ($false),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22653, 1909, 22643, 22650])).
% 34.64/23.26 tff(22655,plain,((~v100(constB150)) | (~v90(constB150, bitIndex1)) | (~v90(constB150, bitIndex2)) | (~v90(constB150, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.64/23.26 tff(22656,plain,
% 34.64/23.26 (~v100(constB150)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22655, 22548, 22576, 22566])).
% 34.64/23.26 tff(22657,plain,
% 34.64/23.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB149, bitIndex1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB149, bitIndex1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex1)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22658,plain,
% 34.64/23.26 (((~nextState(constB149, constB150)) | v90(constB149, bitIndex1) | v100(constB150) | (~v90(constB150, bitIndex1))) <=> (v90(constB149, bitIndex1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex1)))),
% 34.64/23.26 inference(rewrite,[status(thm)],[])).
% 34.64/23.26 tff(22659,plain,
% 34.64/23.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex1) | v100(constB150) | (~v90(constB150, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB149, bitIndex1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex1))))),
% 34.64/23.26 inference(monotonicity,[status(thm)],[22658])).
% 34.64/23.26 tff(22660,plain,
% 34.64/23.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex1) | v100(constB150) | (~v90(constB150, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB149, bitIndex1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex1)))),
% 34.64/23.26 inference(transitivity,[status(thm)],[22659, 22657])).
% 34.64/23.26 tff(22661,plain,
% 34.64/23.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex1) | v100(constB150) | (~v90(constB150, bitIndex1)))),
% 34.64/23.26 inference(quant_inst,[status(thm)],[])).
% 34.64/23.26 tff(22662,plain,
% 34.64/23.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB149, bitIndex1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex1))),
% 34.64/23.26 inference(modus_ponens,[status(thm)],[22661, 22660])).
% 34.64/23.26 tff(22663,plain,
% 34.64/23.26 (v90(constB149, bitIndex1) | v100(constB150) | (~v90(constB150, bitIndex1))),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22662, 434, 21925])).
% 34.64/23.26 tff(22664,plain,
% 34.64/23.26 (v90(constB149, bitIndex1)),
% 34.64/23.26 inference(unit_resolution,[status(thm)],[22663, 22656, 22548])).
% 34.64/23.26 tff(22665,plain,
% 34.64/23.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex1)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22666,plain,
% 34.64/23.27 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex1) | v100(constB149) | (~v90(constB149, bitIndex1))) <=> (v90(constB148, bitIndex1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex1)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22667,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex1) | v100(constB149) | (~v90(constB149, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex1))))),
% 34.64/23.27 inference(monotonicity,[status(thm)],[22666])).
% 34.64/23.27 tff(22668,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex1) | v100(constB149) | (~v90(constB149, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex1)))),
% 34.64/23.27 inference(transitivity,[status(thm)],[22667, 22665])).
% 34.64/23.27 tff(22669,plain,
% 34.64/23.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex1) | v100(constB149) | (~v90(constB149, bitIndex1)))),
% 34.64/23.27 inference(quant_inst,[status(thm)],[])).
% 34.64/23.27 tff(22670,plain,
% 34.64/23.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex1))),
% 34.64/23.27 inference(modus_ponens,[status(thm)],[22669, 22668])).
% 34.64/23.27 tff(22671,plain,
% 34.64/23.27 (v90(constB148, bitIndex1) | v100(constB149) | (~v90(constB149, bitIndex1))),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22670, 434, 21819])).
% 34.64/23.27 tff(22672,plain,
% 34.64/23.27 (v90(constB148, bitIndex1) | (~v90(constB149, bitIndex1))),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22671, 21831])).
% 34.64/23.27 tff(22673,plain,
% 34.64/23.27 (v90(constB148, bitIndex1)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22672, 22664])).
% 34.64/23.27 tff(22674,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB149, bitIndex2) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB149, bitIndex2) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex2)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22675,plain,
% 34.64/23.27 (((~nextState(constB149, constB150)) | v90(constB149, bitIndex2) | v100(constB150) | (~v90(constB150, bitIndex2))) <=> (v90(constB149, bitIndex2) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex2)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22676,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex2) | v100(constB150) | (~v90(constB150, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB149, bitIndex2) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex2))))),
% 34.64/23.27 inference(monotonicity,[status(thm)],[22675])).
% 34.64/23.27 tff(22677,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex2) | v100(constB150) | (~v90(constB150, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB149, bitIndex2) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex2)))),
% 34.64/23.27 inference(transitivity,[status(thm)],[22676, 22674])).
% 34.64/23.27 tff(22678,plain,
% 34.64/23.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex2) | v100(constB150) | (~v90(constB150, bitIndex2)))),
% 34.64/23.27 inference(quant_inst,[status(thm)],[])).
% 34.64/23.27 tff(22679,plain,
% 34.64/23.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB149, bitIndex2) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex2))),
% 34.64/23.27 inference(modus_ponens,[status(thm)],[22678, 22677])).
% 34.64/23.27 tff(22680,plain,
% 34.64/23.27 (v90(constB149, bitIndex2) | v100(constB150) | (~v90(constB150, bitIndex2))),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22679, 413, 21925])).
% 34.64/23.27 tff(22681,plain,
% 34.64/23.27 (v90(constB149, bitIndex2)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22680, 22656, 22576])).
% 34.64/23.27 tff(22682,plain,
% 34.64/23.27 (v90(constB148, bitIndex2)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21873, 22681])).
% 34.64/23.27 tff(22683,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22684,plain,
% 34.64/23.27 (((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0))) <=> (v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22685,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0))))),
% 34.64/23.27 inference(monotonicity,[status(thm)],[22684])).
% 34.64/23.27 tff(22686,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 34.64/23.27 inference(transitivity,[status(thm)],[22685, 22683])).
% 34.64/23.27 tff(22687,plain,
% 34.64/23.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 34.64/23.27 inference(quant_inst,[status(thm)],[])).
% 34.64/23.27 tff(22688,plain,
% 34.64/23.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0))),
% 34.64/23.27 inference(modus_ponens,[status(thm)],[22687, 22686])).
% 34.64/23.27 tff(22689,plain,
% 34.64/23.27 (v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0))),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22688, 455, 21925])).
% 34.64/23.27 tff(22690,plain,
% 34.64/23.27 (v90(constB149, bitIndex0)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22689, 22656, 22566])).
% 34.64/23.27 tff(22691,plain,
% 34.64/23.27 (v90(constB148, bitIndex0)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21882, 22690])).
% 34.64/23.27 tff(22692,assumption,(v100(constB148)), introduced(assumption)).
% 34.64/23.27 tff(22693,assumption,(v90(constB148, bitIndex2)), introduced(assumption)).
% 34.64/23.27 tff(22694,plain,
% 34.64/23.27 (v129(constB148, bitIndex2) | (~v100(constB148))),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21863, 722, 22693])).
% 34.64/23.27 tff(22695,plain,
% 34.64/23.27 (v129(constB148, bitIndex2)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22694, 22692])).
% 34.64/23.27 tff(22696,plain,
% 34.64/23.27 (v127(constB147, bitIndex2)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21856, 22695])).
% 34.64/23.27 tff(22697,plain,
% 34.64/23.27 (v130(constB147, bitIndex2)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21851, 22696])).
% 34.64/23.27 tff(22698,plain,
% 34.64/23.27 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB147)) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB147)) | (~v130(constB147, bitIndex2)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22699,plain,
% 34.64/23.27 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB147)) | (~v130(constB147, bitIndex2)))),
% 34.64/23.27 inference(quant_inst,[status(thm)],[])).
% 34.64/23.27 tff(22700,plain,
% 34.64/23.27 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB147)) | (~v130(constB147, bitIndex2))),
% 34.64/23.27 inference(modus_ponens,[status(thm)],[22699, 22698])).
% 34.64/23.27 tff(22701,plain,
% 34.64/23.27 (~v119(constB147)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22700, 675, 22697])).
% 34.64/23.27 tff(22702,plain,
% 34.64/23.27 (~v120(constB147)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21843, 1025, 22697])).
% 34.64/23.27 tff(22703,plain,
% 34.64/23.27 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB147)) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB147)) | (~v130(constB147, bitIndex2)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22704,plain,
% 34.64/23.27 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB147)) | (~v130(constB147, bitIndex2)))),
% 34.64/23.27 inference(quant_inst,[status(thm)],[])).
% 34.64/23.27 tff(22705,plain,
% 34.64/23.27 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB147)) | (~v130(constB147, bitIndex2))),
% 34.64/23.27 inference(modus_ponens,[status(thm)],[22704, 22703])).
% 34.64/23.27 tff(22706,plain,
% 34.64/23.27 (~v121(constB147)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22705, 1342, 22697])).
% 34.64/23.27 tff(22707,plain,
% 34.64/23.27 (v129(constB148, bitIndex0)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21737, 22692])).
% 34.64/23.27 tff(22708,plain,
% 34.64/23.27 (v127(constB147, bitIndex0)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21728, 22707])).
% 34.64/23.27 tff(22709,plain,
% 34.64/23.27 (v130(constB147, bitIndex0)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21723, 22708])).
% 34.64/23.27 tff(22710,plain,
% 34.64/23.27 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB147)) | (~v130(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB147)) | (~v130(constB147, bitIndex0)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22711,plain,
% 34.64/23.27 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB147)) | (~v130(constB147, bitIndex0)))),
% 34.64/23.27 inference(quant_inst,[status(thm)],[])).
% 34.64/23.27 tff(22712,plain,
% 34.64/23.27 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB147)) | (~v130(constB147, bitIndex0))),
% 34.64/23.27 inference(modus_ponens,[status(thm)],[22711, 22710])).
% 34.64/23.27 tff(22713,plain,
% 34.64/23.27 (~v124(constB147)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22712, 2277, 22709])).
% 34.64/23.27 tff(22714,assumption,(v122(constB147)), introduced(assumption)).
% 34.64/23.27 tff(22715,plain,
% 34.64/23.27 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB147) | (~v122(constB147)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB147) | (~v122(constB147)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22716,plain,
% 34.64/23.27 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB147) | (~v122(constB147)))),
% 34.64/23.27 inference(quant_inst,[status(thm)],[])).
% 34.64/23.27 tff(22717,plain,
% 34.64/23.27 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB147) | (~v122(constB147))),
% 34.64/23.27 inference(modus_ponens,[status(thm)],[22716, 22715])).
% 34.64/23.27 tff(22718,plain,
% 34.64/23.27 (v116(constB147)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22717, 1497, 22714])).
% 34.64/23.27 tff(22719,plain,
% 34.64/23.27 (v115(constB147)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21711, 520, 22718])).
% 34.64/23.27 tff(22720,plain,
% 34.64/23.27 (v114(constB147)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21794, 531, 22719])).
% 34.64/23.27 tff(22721,plain,
% 34.64/23.27 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB147)) | (~v130(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB147)) | (~v130(constB147, bitIndex0)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22722,plain,
% 34.64/23.27 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB147)) | (~v130(constB147, bitIndex0)))),
% 34.64/23.27 inference(quant_inst,[status(thm)],[])).
% 34.64/23.27 tff(22723,plain,
% 34.64/23.27 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB147)) | (~v130(constB147, bitIndex0))),
% 34.64/23.27 inference(modus_ponens,[status(thm)],[22722, 22721])).
% 34.64/23.27 tff(22724,plain,
% 34.64/23.27 (~v130(constB147, bitIndex0)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22723, 1721, 22714])).
% 34.64/23.27 tff(22725,plain,
% 34.64/23.27 (~v127(constB147, bitIndex0)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21723, 22724])).
% 34.64/23.27 tff(22726,plain,
% 34.64/23.27 (~v129(constB148, bitIndex0)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21728, 22725])).
% 34.64/23.27 tff(22727,plain,
% 34.64/23.27 (~v100(constB148)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21737, 22726])).
% 34.64/23.27 tff(22728,plain,
% 34.64/23.27 (~v110(constB148)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21769, 22727])).
% 34.64/23.27 tff(22729,plain,
% 34.64/23.27 (~v108(constB147)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21777, 22728])).
% 34.64/23.27 tff(22730,plain,
% 34.64/23.27 (~v112(constB147)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21781, 568, 22729])).
% 34.64/23.27 tff(22731,plain,
% 34.64/23.27 (~v113(constB147)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21786, 22730])).
% 34.64/23.27 tff(22732,plain,
% 34.64/23.27 ($false),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21790, 542, 22731, 22720])).
% 34.64/23.27 tff(22733,plain,((~v122(constB147)) | (~v90(constB148, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.64/23.27 tff(22734,plain,
% 34.64/23.27 (~v122(constB147)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22733, 21730])).
% 34.64/23.27 tff(22735,assumption,(v90(constB148, bitIndex1)), introduced(assumption)).
% 34.64/23.27 tff(22736,plain,
% 34.64/23.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | v129(constB148, bitIndex1) | (~v100(constB148)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | v129(constB148, bitIndex1) | (~v100(constB148)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22737,plain,
% 34.64/23.27 (((~v90(constB148, bitIndex1)) | (~v100(constB148)) | v129(constB148, bitIndex1)) <=> ((~v90(constB148, bitIndex1)) | v129(constB148, bitIndex1) | (~v100(constB148)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22738,plain,
% 34.64/23.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~v100(constB148)) | v129(constB148, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | v129(constB148, bitIndex1) | (~v100(constB148))))),
% 34.64/23.27 inference(monotonicity,[status(thm)],[22737])).
% 34.64/23.27 tff(22739,plain,
% 34.64/23.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~v100(constB148)) | v129(constB148, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | v129(constB148, bitIndex1) | (~v100(constB148)))),
% 34.64/23.27 inference(transitivity,[status(thm)],[22738, 22736])).
% 34.64/23.27 tff(22740,plain,
% 34.64/23.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~v100(constB148)) | v129(constB148, bitIndex1))),
% 34.64/23.27 inference(quant_inst,[status(thm)],[])).
% 34.64/23.27 tff(22741,plain,
% 34.64/23.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | v129(constB148, bitIndex1) | (~v100(constB148))),
% 34.64/23.27 inference(modus_ponens,[status(thm)],[22740, 22739])).
% 34.64/23.27 tff(22742,plain,
% 34.64/23.27 (v129(constB148, bitIndex1) | (~v100(constB148))),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22741, 814, 22735])).
% 34.64/23.27 tff(22743,plain,
% 34.64/23.27 (v129(constB148, bitIndex1)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22742, 22692])).
% 34.64/23.27 tff(22744,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex1) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex1) | (~v129(constB148, bitIndex1)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22745,plain,
% 34.64/23.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex1) | (~v129(constB148, bitIndex1)))),
% 34.64/23.27 inference(quant_inst,[status(thm)],[])).
% 34.64/23.27 tff(22746,plain,
% 34.64/23.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex1) | (~v129(constB148, bitIndex1))),
% 34.64/23.27 inference(modus_ponens,[status(thm)],[22745, 22744])).
% 34.64/23.27 tff(22747,plain,
% 34.64/23.27 (v127(constB147, bitIndex1) | (~v129(constB148, bitIndex1))),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22746, 799, 21690])).
% 34.64/23.27 tff(22748,plain,
% 34.64/23.27 (v127(constB147, bitIndex1)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22747, 22743])).
% 34.64/23.27 tff(22749,plain,
% 34.64/23.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB147, bitIndex1)) | v26(constB147) | v130(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB147, bitIndex1)) | v26(constB147) | v130(constB147, bitIndex1))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22750,plain,
% 34.64/23.27 ((v26(constB147) | v130(constB147, bitIndex1) | (~v127(constB147, bitIndex1))) <=> ((~v127(constB147, bitIndex1)) | v26(constB147) | v130(constB147, bitIndex1))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22751,plain,
% 34.64/23.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB147) | v130(constB147, bitIndex1) | (~v127(constB147, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB147, bitIndex1)) | v26(constB147) | v130(constB147, bitIndex1)))),
% 34.64/23.27 inference(monotonicity,[status(thm)],[22750])).
% 34.64/23.27 tff(22752,plain,
% 34.64/23.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB147) | v130(constB147, bitIndex1) | (~v127(constB147, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB147, bitIndex1)) | v26(constB147) | v130(constB147, bitIndex1))),
% 34.64/23.27 inference(transitivity,[status(thm)],[22751, 22749])).
% 34.64/23.27 tff(22753,plain,
% 34.64/23.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB147) | v130(constB147, bitIndex1) | (~v127(constB147, bitIndex1)))),
% 34.64/23.27 inference(quant_inst,[status(thm)],[])).
% 34.64/23.27 tff(22754,plain,
% 34.64/23.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB147, bitIndex1)) | v26(constB147) | v130(constB147, bitIndex1)),
% 34.64/23.27 inference(modus_ponens,[status(thm)],[22753, 22752])).
% 34.64/23.27 tff(22755,plain,
% 34.64/23.27 ((~v127(constB147, bitIndex1)) | v130(constB147, bitIndex1)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22754, 781, 21682])).
% 34.64/23.27 tff(22756,plain,
% 34.64/23.27 (v130(constB147, bitIndex1)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22755, 22748])).
% 34.64/23.27 tff(22757,plain,
% 34.64/23.27 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB147) | v123(constB147) | v122(constB147) | v121(constB147) | v120(constB147) | v119(constB147) | (~v130(constB147, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB147) | v123(constB147) | v122(constB147) | v121(constB147) | v120(constB147) | v119(constB147) | (~v130(constB147, bitIndex1)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22758,plain,
% 34.64/23.27 ((v120(constB147) | v119(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex1))) <=> (v124(constB147) | v123(constB147) | v122(constB147) | v121(constB147) | v120(constB147) | v119(constB147) | (~v130(constB147, bitIndex1)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22759,plain,
% 34.64/23.27 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB147) | v119(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB147) | v123(constB147) | v122(constB147) | v121(constB147) | v120(constB147) | v119(constB147) | (~v130(constB147, bitIndex1))))),
% 34.64/23.27 inference(monotonicity,[status(thm)],[22758])).
% 34.64/23.27 tff(22760,plain,
% 34.64/23.27 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB147) | v119(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB147) | v123(constB147) | v122(constB147) | v121(constB147) | v120(constB147) | v119(constB147) | (~v130(constB147, bitIndex1)))),
% 34.64/23.27 inference(transitivity,[status(thm)],[22759, 22757])).
% 34.64/23.27 tff(22761,plain,
% 34.64/23.27 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB147) | v119(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex1)))),
% 34.64/23.27 inference(quant_inst,[status(thm)],[])).
% 34.64/23.27 tff(22762,plain,
% 34.64/23.27 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB147) | v123(constB147) | v122(constB147) | v121(constB147) | v120(constB147) | v119(constB147) | (~v130(constB147, bitIndex1))),
% 34.64/23.27 inference(modus_ponens,[status(thm)],[22761, 22760])).
% 34.64/23.27 tff(22763,plain,
% 34.64/23.27 (v123(constB147)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22762, 2448, 22756, 22734, 22713, 22706, 22702, 22701])).
% 34.64/23.27 tff(22764,plain,
% 34.64/23.27 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB147)) | (~v130(constB147, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB147)) | (~v130(constB147, bitIndex1)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22765,plain,
% 34.64/23.27 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB147)) | (~v130(constB147, bitIndex1)))),
% 34.64/23.27 inference(quant_inst,[status(thm)],[])).
% 34.64/23.27 tff(22766,plain,
% 34.64/23.27 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB147)) | (~v130(constB147, bitIndex1))),
% 34.64/23.27 inference(modus_ponens,[status(thm)],[22765, 22764])).
% 34.64/23.27 tff(22767,plain,
% 34.64/23.27 ($false),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22766, 1909, 22756, 22763])).
% 34.64/23.27 tff(22768,plain,((~v100(constB148)) | (~v90(constB148, bitIndex1)) | (~v90(constB148, bitIndex0)) | (~v90(constB148, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 34.64/23.27 tff(22769,plain,
% 34.64/23.27 (~v100(constB148)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22768, 22673, 22691, 22682])).
% 34.64/23.27 tff(22770,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22771,plain,
% 34.64/23.27 (((~nextState(constB147, constB148)) | v90(constB147, bitIndex1) | v100(constB148) | (~v90(constB148, bitIndex1))) <=> (v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22772,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex1) | v100(constB148) | (~v90(constB148, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1))))),
% 34.64/23.27 inference(monotonicity,[status(thm)],[22771])).
% 34.64/23.27 tff(22773,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex1) | v100(constB148) | (~v90(constB148, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1)))),
% 34.64/23.27 inference(transitivity,[status(thm)],[22772, 22770])).
% 34.64/23.27 tff(22774,plain,
% 34.64/23.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex1) | v100(constB148) | (~v90(constB148, bitIndex1)))),
% 34.64/23.27 inference(quant_inst,[status(thm)],[])).
% 34.64/23.27 tff(22775,plain,
% 34.64/23.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1))),
% 34.64/23.27 inference(modus_ponens,[status(thm)],[22774, 22773])).
% 34.64/23.27 tff(22776,plain,
% 34.64/23.27 (v90(constB147, bitIndex1) | v100(constB148) | (~v90(constB148, bitIndex1))),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22775, 434, 21690])).
% 34.64/23.27 tff(22777,plain,
% 34.64/23.27 (v90(constB147, bitIndex1)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22776, 22769, 22673])).
% 34.64/23.27 tff(22778,plain,
% 34.64/23.27 (v90(constB146, bitIndex1)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[21592, 22777])).
% 34.64/23.27 tff(22779,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22780,plain,
% 34.64/23.27 (((~nextState(constB147, constB148)) | v90(constB147, bitIndex0) | v100(constB148) | (~v90(constB148, bitIndex0))) <=> (v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22781,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex0) | v100(constB148) | (~v90(constB148, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0))))),
% 34.64/23.27 inference(monotonicity,[status(thm)],[22780])).
% 34.64/23.27 tff(22782,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex0) | v100(constB148) | (~v90(constB148, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0)))),
% 34.64/23.27 inference(transitivity,[status(thm)],[22781, 22779])).
% 34.64/23.27 tff(22783,plain,
% 34.64/23.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex0) | v100(constB148) | (~v90(constB148, bitIndex0)))),
% 34.64/23.27 inference(quant_inst,[status(thm)],[])).
% 34.64/23.27 tff(22784,plain,
% 34.64/23.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0))),
% 34.64/23.27 inference(modus_ponens,[status(thm)],[22783, 22782])).
% 34.64/23.27 tff(22785,plain,
% 34.64/23.27 (v90(constB147, bitIndex0) | v100(constB148) | (~v90(constB148, bitIndex0))),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22784, 455, 21690])).
% 34.64/23.27 tff(22786,plain,
% 34.64/23.27 (v90(constB147, bitIndex0)),
% 34.64/23.27 inference(unit_resolution,[status(thm)],[22785, 22769, 22691])).
% 34.64/23.27 tff(22787,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex0)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22788,plain,
% 34.64/23.27 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex0) | v100(constB147) | (~v90(constB147, bitIndex0))) <=> (v90(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex0)))),
% 34.64/23.27 inference(rewrite,[status(thm)],[])).
% 34.64/23.27 tff(22789,plain,
% 34.64/23.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex0) | v100(constB147) | (~v90(constB147, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex0))))),
% 34.64/23.28 inference(monotonicity,[status(thm)],[22788])).
% 34.64/23.28 tff(22790,plain,
% 34.64/23.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex0) | v100(constB147) | (~v90(constB147, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex0)))),
% 34.64/23.28 inference(transitivity,[status(thm)],[22789, 22787])).
% 34.64/23.28 tff(22791,plain,
% 34.64/23.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex0) | v100(constB147) | (~v90(constB147, bitIndex0)))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22792,plain,
% 34.64/23.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex0))),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22791, 22790])).
% 34.64/23.28 tff(22793,plain,
% 34.64/23.28 (v90(constB146, bitIndex0) | v100(constB147) | (~v90(constB147, bitIndex0))),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22792, 455, 21572])).
% 34.64/23.28 tff(22794,plain,
% 34.64/23.28 (v90(constB146, bitIndex0) | (~v90(constB147, bitIndex0))),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22793, 21584])).
% 34.64/23.28 tff(22795,plain,
% 34.64/23.28 (v90(constB146, bitIndex0)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22794, 22786])).
% 34.64/23.28 tff(22796,plain,
% 34.64/23.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22797,plain,
% 34.64/23.28 (((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2))) <=> (v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22798,plain,
% 34.64/23.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2))))),
% 34.64/23.28 inference(monotonicity,[status(thm)],[22797])).
% 34.64/23.28 tff(22799,plain,
% 34.64/23.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 34.64/23.28 inference(transitivity,[status(thm)],[22798, 22796])).
% 34.64/23.28 tff(22800,plain,
% 34.64/23.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22801,plain,
% 34.64/23.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2))),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22800, 22799])).
% 34.64/23.28 tff(22802,plain,
% 34.64/23.28 (v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2))),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22801, 413, 21690])).
% 34.64/23.28 tff(22803,plain,
% 34.64/23.28 (v90(constB147, bitIndex2)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22802, 22769, 22682])).
% 34.64/23.28 tff(22804,plain,
% 34.64/23.28 (v90(constB146, bitIndex2)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[21629, 22803])).
% 34.64/23.28 tff(22805,plain,
% 34.64/23.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex2))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22806,plain,
% 34.64/23.28 (((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex2)) | v100(constB147) | v90(constB147, bitIndex2)) <=> ((~v90(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex2))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22807,plain,
% 34.64/23.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex2)) | v100(constB147) | v90(constB147, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex2)))),
% 34.64/23.28 inference(monotonicity,[status(thm)],[22806])).
% 34.64/23.28 tff(22808,plain,
% 34.64/23.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex2)) | v100(constB147) | v90(constB147, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex2))),
% 34.64/23.28 inference(transitivity,[status(thm)],[22807, 22805])).
% 34.64/23.28 tff(22809,plain,
% 34.64/23.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex2)) | v100(constB147) | v90(constB147, bitIndex2))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22810,plain,
% 34.64/23.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex2)),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22809, 22808])).
% 34.64/23.28 tff(22811,plain,
% 34.64/23.28 ((~v90(constB146, bitIndex2)) | v100(constB147) | v90(constB147, bitIndex2)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22810, 1658, 21572])).
% 34.64/23.28 tff(22812,plain,
% 34.64/23.28 ((~v90(constB146, bitIndex2)) | v90(constB147, bitIndex2)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22811, 21584])).
% 34.64/23.28 tff(22813,plain,
% 34.64/23.28 (v90(constB147, bitIndex2)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22812, 21538])).
% 34.64/23.28 tff(22814,plain,
% 34.64/23.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB147, bitIndex2)) | (~v121(constB147)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB147, bitIndex2)) | (~v121(constB147)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22815,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB147, bitIndex2)) | (~v121(constB147)))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22816,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB147, bitIndex2)) | (~v121(constB147))),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22815, 22814])).
% 34.64/23.28 tff(22817,plain,
% 34.64/23.28 (~v121(constB147)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22816, 2216, 22813])).
% 34.64/23.28 tff(22818,plain,
% 34.64/23.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex1))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22819,plain,
% 34.64/23.28 (((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex1)) | v100(constB147) | v90(constB147, bitIndex1)) <=> ((~v90(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex1))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22820,plain,
% 34.64/23.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex1)) | v100(constB147) | v90(constB147, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex1)))),
% 34.64/23.28 inference(monotonicity,[status(thm)],[22819])).
% 34.64/23.28 tff(22821,plain,
% 34.64/23.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex1)) | v100(constB147) | v90(constB147, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex1))),
% 34.64/23.28 inference(transitivity,[status(thm)],[22820, 22818])).
% 34.64/23.28 tff(22822,plain,
% 34.64/23.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex1)) | v100(constB147) | v90(constB147, bitIndex1))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22823,plain,
% 34.64/23.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex1)),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22822, 22821])).
% 34.64/23.28 tff(22824,plain,
% 34.64/23.28 ((~v90(constB146, bitIndex1)) | v100(constB147) | v90(constB147, bitIndex1)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22823, 1149, 21572])).
% 34.64/23.28 tff(22825,plain,
% 34.64/23.28 ((~v90(constB146, bitIndex1)) | v90(constB147, bitIndex1)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22824, 21584])).
% 34.64/23.28 tff(22826,plain,
% 34.64/23.28 (v90(constB147, bitIndex1)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22825, 21457])).
% 34.64/23.28 tff(22827,plain,
% 34.64/23.28 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB147)) | (~v90(constB147, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB147)) | (~v90(constB147, bitIndex1)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22828,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB147)) | (~v90(constB147, bitIndex1)))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22829,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB147)) | (~v90(constB147, bitIndex1))),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22828, 22827])).
% 34.64/23.28 tff(22830,plain,
% 34.64/23.28 (~v119(constB147)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22829, 2230, 22826])).
% 34.64/23.28 tff(22831,plain,
% 34.64/23.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB147, bitIndex1)) | (~v120(constB147)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB147, bitIndex1)) | (~v120(constB147)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22832,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB147, bitIndex1)) | (~v120(constB147)))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22833,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB147, bitIndex1)) | (~v120(constB147))),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22832, 22831])).
% 34.64/23.28 tff(22834,plain,
% 34.64/23.28 (~v120(constB147)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22833, 2183, 22826])).
% 34.64/23.28 tff(22835,plain,
% 34.64/23.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB147, bitIndex1)) | (~v123(constB147)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB147, bitIndex1)) | (~v123(constB147)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22836,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB147, bitIndex1)) | (~v123(constB147)))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22837,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB147, bitIndex1)) | (~v123(constB147))),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22836, 22835])).
% 34.64/23.28 tff(22838,plain,
% 34.64/23.28 (~v123(constB147)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22837, 2194, 22826])).
% 34.64/23.28 tff(22839,plain,
% 34.64/23.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB147, bitIndex1)) | (~v124(constB147)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB147, bitIndex1)) | (~v124(constB147)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22840,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB147, bitIndex1)) | (~v124(constB147)))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22841,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB147, bitIndex1)) | (~v124(constB147))),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22840, 22839])).
% 34.64/23.28 tff(22842,plain,
% 34.64/23.28 (~v124(constB147)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22841, 2205, 22826])).
% 34.64/23.28 tff(22843,plain,
% 34.64/23.28 (~v90(constB147, bitIndex0)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22794, 21473])).
% 34.64/23.28 tff(22844,plain,
% 34.64/23.28 (v100(constB148)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22785, 22843, 21730])).
% 34.64/23.28 tff(22845,plain,
% 34.64/23.28 (v129(constB148, bitIndex2)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22694, 22844])).
% 34.64/23.28 tff(22846,plain,
% 34.64/23.28 (v127(constB147, bitIndex2)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[21856, 22845])).
% 34.64/23.28 tff(22847,plain,
% 34.64/23.28 (v130(constB147, bitIndex2)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[21851, 22846])).
% 34.64/23.28 tff(22848,plain,
% 34.64/23.28 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB147) | v123(constB147) | v122(constB147) | v121(constB147) | v120(constB147) | v119(constB147) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB147) | v123(constB147) | v122(constB147) | v121(constB147) | v120(constB147) | v119(constB147) | (~v130(constB147, bitIndex2)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22849,plain,
% 34.64/23.28 ((v120(constB147) | v119(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex2))) <=> (v124(constB147) | v123(constB147) | v122(constB147) | v121(constB147) | v120(constB147) | v119(constB147) | (~v130(constB147, bitIndex2)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22850,plain,
% 34.64/23.28 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB147) | v119(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB147) | v123(constB147) | v122(constB147) | v121(constB147) | v120(constB147) | v119(constB147) | (~v130(constB147, bitIndex2))))),
% 34.64/23.28 inference(monotonicity,[status(thm)],[22849])).
% 34.64/23.28 tff(22851,plain,
% 34.64/23.28 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB147) | v119(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB147) | v123(constB147) | v122(constB147) | v121(constB147) | v120(constB147) | v119(constB147) | (~v130(constB147, bitIndex2)))),
% 34.64/23.28 inference(transitivity,[status(thm)],[22850, 22848])).
% 34.64/23.28 tff(22852,plain,
% 34.64/23.28 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB147) | v119(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex2)))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22853,plain,
% 34.64/23.28 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB147) | v123(constB147) | v122(constB147) | v121(constB147) | v120(constB147) | v119(constB147) | (~v130(constB147, bitIndex2))),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22852, 22851])).
% 34.64/23.28 tff(22854,plain,
% 34.64/23.28 ($false),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22853, 2244, 22847, 22734, 22842, 22838, 22834, 22830, 22817])).
% 34.64/23.28 tff(22855,plain,(v100(constB146) | (~v90(constB148, bitIndex2)) | (~v90(constB148, bitIndex0)) | v90(constB145, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.64/23.28 tff(22856,plain,
% 34.64/23.28 (v100(constB146)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22855, 21362, 21730, 22693])).
% 34.64/23.28 tff(22857,assumption,(v90(constB146, bitIndex0)), introduced(assumption)).
% 34.64/23.28 tff(22858,plain,
% 34.64/23.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22859,plain,
% 34.64/23.28 (((~v90(constB146, bitIndex0)) | (~v100(constB146)) | v129(constB146, bitIndex0)) <=> ((~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22860,plain,
% 34.64/23.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~v100(constB146)) | v129(constB146, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146))))),
% 34.64/23.28 inference(monotonicity,[status(thm)],[22859])).
% 34.64/23.28 tff(22861,plain,
% 34.64/23.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~v100(constB146)) | v129(constB146, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146)))),
% 34.64/23.28 inference(transitivity,[status(thm)],[22860, 22858])).
% 34.64/23.28 tff(22862,plain,
% 34.64/23.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~v100(constB146)) | v129(constB146, bitIndex0))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22863,plain,
% 34.64/23.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146))),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22862, 22861])).
% 34.64/23.28 tff(22864,plain,
% 34.64/23.28 (v129(constB146, bitIndex0) | (~v100(constB146))),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22863, 1215, 22857])).
% 34.64/23.28 tff(22865,plain,
% 34.64/23.28 (v129(constB146, bitIndex0)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22864, 22856])).
% 34.64/23.28 tff(22866,plain,
% 34.64/23.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex0) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex0) | (~v129(constB146, bitIndex0)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22867,plain,
% 34.64/23.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex0) | (~v129(constB146, bitIndex0)))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22868,plain,
% 34.64/23.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex0) | (~v129(constB146, bitIndex0))),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22867, 22866])).
% 34.64/23.28 tff(22869,plain,
% 34.64/23.28 (v127(constB145, bitIndex0) | (~v129(constB146, bitIndex0))),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22868, 1200, 21277])).
% 34.64/23.28 tff(22870,plain,
% 34.64/23.28 (v127(constB145, bitIndex0)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22869, 22865])).
% 34.64/23.28 tff(22871,plain,
% 34.64/23.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22872,plain,
% 34.64/23.28 ((v26(constB145) | v130(constB145, bitIndex0) | (~v127(constB145, bitIndex0))) <=> ((~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22873,plain,
% 34.64/23.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB145) | v130(constB145, bitIndex0) | (~v127(constB145, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0)))),
% 34.64/23.28 inference(monotonicity,[status(thm)],[22872])).
% 34.64/23.28 tff(22874,plain,
% 34.64/23.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB145) | v130(constB145, bitIndex0) | (~v127(constB145, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0))),
% 34.64/23.28 inference(transitivity,[status(thm)],[22873, 22871])).
% 34.64/23.28 tff(22875,plain,
% 34.64/23.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB145) | v130(constB145, bitIndex0) | (~v127(constB145, bitIndex0)))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22876,plain,
% 34.64/23.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0)),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22875, 22874])).
% 34.64/23.28 tff(22877,plain,
% 34.64/23.28 ((~v127(constB145, bitIndex0)) | v130(constB145, bitIndex0)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22876, 1182, 21266])).
% 34.64/23.28 tff(22878,plain,
% 34.64/23.28 (v130(constB145, bitIndex0)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22877, 22870])).
% 34.64/23.28 tff(22879,plain,
% 34.64/23.28 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB145)) | (~v130(constB145, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB145)) | (~v130(constB145, bitIndex0)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22880,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB145)) | (~v130(constB145, bitIndex0)))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22881,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB145)) | (~v130(constB145, bitIndex0))),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22880, 22879])).
% 34.64/23.28 tff(22882,plain,
% 34.64/23.28 (~v124(constB145)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22881, 2277, 22878])).
% 34.64/23.28 tff(22883,plain,
% 34.64/23.28 (v129(constB146, bitIndex1) | (~v100(constB146))),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[21564, 814, 21492])).
% 34.64/23.28 tff(22884,plain,
% 34.64/23.28 (v129(constB146, bitIndex1)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22883, 22856])).
% 34.64/23.28 tff(22885,plain,
% 34.64/23.28 (v127(constB145, bitIndex1)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[21281, 22884])).
% 34.64/23.28 tff(22886,plain,
% 34.64/23.28 (v130(constB145, bitIndex1)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[21273, 22885])).
% 34.64/23.28 tff(22887,plain,
% 34.64/23.28 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB145)) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB145)) | (~v130(constB145, bitIndex1)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22888,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB145)) | (~v130(constB145, bitIndex1)))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22889,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB145)) | (~v130(constB145, bitIndex1))),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22888, 22887])).
% 34.64/23.28 tff(22890,plain,
% 34.64/23.28 (~v122(constB145)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22889, 1677, 22886])).
% 34.64/23.28 tff(22891,assumption,(v90(constB146, bitIndex2)), introduced(assumption)).
% 34.64/23.28 tff(22892,plain,
% 34.64/23.28 (v129(constB146, bitIndex2) | (~v100(constB146))),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[21619, 722, 22891])).
% 34.64/23.28 tff(22893,plain,
% 34.64/23.28 (v129(constB146, bitIndex2)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22892, 22856])).
% 34.64/23.28 tff(22894,plain,
% 34.64/23.28 (v127(constB145, bitIndex2)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[21612, 22893])).
% 34.64/23.28 tff(22895,plain,
% 34.64/23.28 (v130(constB145, bitIndex2)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[21607, 22894])).
% 34.64/23.28 tff(22896,plain,
% 34.64/23.28 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB145)) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB145)) | (~v130(constB145, bitIndex2)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22897,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB145)) | (~v130(constB145, bitIndex2)))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22898,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB145)) | (~v130(constB145, bitIndex2))),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22897, 22896])).
% 34.64/23.28 tff(22899,plain,
% 34.64/23.28 (~v120(constB145)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22898, 1025, 22895])).
% 34.64/23.28 tff(22900,plain,
% 34.64/23.28 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB145)) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB145)) | (~v130(constB145, bitIndex1)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22901,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB145)) | (~v130(constB145, bitIndex1)))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22902,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB145)) | (~v130(constB145, bitIndex1))),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22901, 22900])).
% 34.64/23.28 tff(22903,plain,
% 34.64/23.28 (~v123(constB145)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22902, 1909, 22886])).
% 34.64/23.28 tff(22904,plain,
% 34.64/23.28 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v130(constB145, bitIndex1)))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22905,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v130(constB145, bitIndex1)))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22906,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v130(constB145, bitIndex1))),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22905, 22904])).
% 34.64/23.28 tff(22907,plain,
% 34.64/23.28 (~v119(constB145)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22906, 767, 22886])).
% 34.64/23.28 tff(22908,plain,
% 34.64/23.28 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB145)) | v130(constB145, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB145)) | v130(constB145, bitIndex1))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22909,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB145)) | v130(constB145, bitIndex1))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22910,plain,
% 34.64/23.28 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB145)) | v130(constB145, bitIndex1)),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22909, 22908])).
% 34.64/23.28 tff(22911,plain,
% 34.64/23.28 (v130(constB145, bitIndex1)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22910, 1404, 21494])).
% 34.64/23.28 tff(22912,plain,
% 34.64/23.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1))),
% 34.64/23.28 inference(rewrite,[status(thm)],[])).
% 34.64/23.28 tff(22913,plain,
% 34.64/23.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1))),
% 34.64/23.28 inference(quant_inst,[status(thm)],[])).
% 34.64/23.28 tff(22914,plain,
% 34.64/23.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1)),
% 34.64/23.28 inference(modus_ponens,[status(thm)],[22913, 22912])).
% 34.64/23.28 tff(22915,plain,
% 34.64/23.28 ((~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1)),
% 34.64/23.28 inference(unit_resolution,[status(thm)],[22914, 1101, 21266])).
% 34.64/23.28 tff(22916,plain,
% 34.64/23.28 (v127(constB145, bitIndex1)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22915, 22911])).
% 34.64/23.29 tff(22917,plain,
% 34.64/23.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(22918,plain,
% 34.64/23.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(22919,plain,
% 34.64/23.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1)),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[22918, 22917])).
% 34.64/23.29 tff(22920,plain,
% 34.64/23.29 ((~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22919, 1116, 21277])).
% 34.64/23.29 tff(22921,plain,
% 34.64/23.29 (v129(constB146, bitIndex1)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22920, 22916])).
% 34.64/23.29 tff(22922,plain,
% 34.64/23.29 (v90(constB146, bitIndex0)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21530, 21494])).
% 34.64/23.29 tff(22923,plain,
% 34.64/23.29 (v100(constB146)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21472, 22922, 21362])).
% 34.64/23.29 tff(22924,plain,
% 34.64/23.29 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(22925,plain,
% 34.64/23.29 ((v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1))) <=> (v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(22926,plain,
% 34.64/23.29 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146))))),
% 34.64/23.29 inference(monotonicity,[status(thm)],[22925])).
% 34.64/23.29 tff(22927,plain,
% 34.64/23.29 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))),
% 34.64/23.29 inference(transitivity,[status(thm)],[22926, 22924])).
% 34.64/23.29 tff(22928,plain,
% 34.64/23.29 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(22929,plain,
% 34.64/23.29 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[22928, 22927])).
% 34.64/23.29 tff(22930,plain,
% 34.64/23.29 (v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1))),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22929, 1131, 22923])).
% 34.64/23.29 tff(22931,plain,
% 34.64/23.29 (v90(constB146, bitIndex1)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22930, 22921])).
% 34.64/23.29 tff(22932,plain,
% 34.64/23.29 (v90(constB147, bitIndex1)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22825, 22931])).
% 34.64/23.29 tff(22933,plain,
% 34.64/23.29 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB145)) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB145)) | (~v130(constB145, bitIndex2)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(22934,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB145)) | (~v130(constB145, bitIndex2)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(22935,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB145)) | (~v130(constB145, bitIndex2))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[22934, 22933])).
% 34.64/23.29 tff(22936,plain,
% 34.64/23.29 (~v130(constB145, bitIndex2)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22935, 1342, 21494])).
% 34.64/23.29 tff(22937,plain,
% 34.64/23.29 (~v127(constB145, bitIndex2)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21607, 22936])).
% 34.64/23.29 tff(22938,plain,
% 34.64/23.29 (~v129(constB146, bitIndex2)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21612, 22937])).
% 34.64/23.29 tff(22939,plain,
% 34.64/23.29 ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21619, 722, 22923])).
% 34.64/23.29 tff(22940,plain,
% 34.64/23.29 (~v90(constB146, bitIndex2)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22939, 22938])).
% 34.64/23.29 tff(22941,plain,
% 34.64/23.29 (~v90(constB147, bitIndex2)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21629, 22940])).
% 34.64/23.29 tff(22942,assumption,(~v122(constB147)), introduced(assumption)).
% 34.64/23.29 tff(22943,plain,
% 34.64/23.29 (v90(constB147, bitIndex0)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21665, 22922])).
% 34.64/23.29 tff(22944,plain,
% 34.64/23.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB147, bitIndex0)) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v122(constB147))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB147, bitIndex0)) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v122(constB147))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(22945,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB147, bitIndex0)) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v122(constB147))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(22946,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB147, bitIndex0)) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v122(constB147)),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[22945, 22944])).
% 34.64/23.29 tff(22947,plain,
% 34.64/23.29 ((~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22946, 1486, 22943, 22942])).
% 34.64/23.29 tff(22948,plain,
% 34.64/23.29 ($false),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22947, 22941, 22932])).
% 34.64/23.29 tff(22949,plain,((~v121(constB145)) | v122(constB147) | v90(constB145, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.64/23.29 tff(22950,plain,
% 34.64/23.29 (~v121(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22949, 21362, 22734])).
% 34.64/23.29 tff(22951,plain,
% 34.64/23.29 (v124(constB145) | v123(constB145) | v122(constB145) | v120(constB145) | v119(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21261, 2448, 22950, 22886])).
% 34.64/23.29 tff(22952,plain,
% 34.64/23.29 ($false),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22951, 22907, 22903, 22899, 22890, 22882])).
% 34.64/23.29 tff(22953,plain,(v90(constB145, bitIndex0) | (~v90(constB146, bitIndex0)) | (~v90(constB146, bitIndex2)) | (~v90(constB146, bitIndex1)) | (~v90(constB148, bitIndex0)) | (~v90(constB148, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 34.64/23.29 tff(22954,plain,
% 34.64/23.29 (v90(constB145, bitIndex0)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22953, 22795, 22682, 22691, 22804, 22778])).
% 34.64/23.29 tff(22955,assumption,(v100(constB146)), introduced(assumption)).
% 34.64/23.29 tff(22956,plain,
% 34.64/23.29 (v110(constB146)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21396, 22955])).
% 34.64/23.29 tff(22957,plain,
% 34.64/23.29 (v108(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21381, 22956])).
% 34.64/23.29 tff(22958,plain,
% 34.64/23.29 (^[VarCurr: $i] : refl((v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))))),
% 34.64/23.29 inference(bind,[status(th)],[])).
% 34.64/23.29 tff(22959,plain,
% 34.64/23.29 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 34.64/23.29 inference(quant_intro,[status(thm)],[22958])).
% 34.64/23.29 tff(22960,plain,
% 34.64/23.29 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(22961,plain,
% 34.64/23.29 (^[VarCurr: $i] : rewrite(((v112(VarCurr) | v26(VarCurr)) | (~v108(VarCurr))) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))))),
% 34.64/23.29 inference(bind,[status(th)],[])).
% 34.64/23.29 tff(22962,plain,
% 34.64/23.29 (![VarCurr: $i] : ((v112(VarCurr) | v26(VarCurr)) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 34.64/23.29 inference(quant_intro,[status(thm)],[22961])).
% 34.64/23.29 tff(22963,axiom,(![VarCurr: $i] : ((v112(VarCurr) | v26(VarCurr)) | (~v108(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_3')).
% 34.64/23.29 tff(22964,plain,
% 34.64/23.29 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[22963, 22962])).
% 34.64/23.29 tff(22965,plain,
% 34.64/23.29 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[22964, 22960])).
% 34.64/23.29 tff(22966,plain,(
% 34.64/23.29 ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 34.64/23.29 inference(skolemize,[status(sab)],[22965])).
% 34.64/23.29 tff(22967,plain,
% 34.64/23.29 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[22966, 22959])).
% 34.64/23.29 tff(22968,plain,
% 34.64/23.29 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB145)) | v26(constB145) | v112(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB145)) | v26(constB145) | v112(constB145))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(22969,plain,
% 34.64/23.29 ((v26(constB145) | v112(constB145) | (~v108(constB145))) <=> ((~v108(constB145)) | v26(constB145) | v112(constB145))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(22970,plain,
% 34.64/23.29 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB145) | v112(constB145) | (~v108(constB145)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB145)) | v26(constB145) | v112(constB145)))),
% 34.64/23.29 inference(monotonicity,[status(thm)],[22969])).
% 34.64/23.29 tff(22971,plain,
% 34.64/23.29 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB145) | v112(constB145) | (~v108(constB145)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB145)) | v26(constB145) | v112(constB145))),
% 34.64/23.29 inference(transitivity,[status(thm)],[22970, 22968])).
% 34.64/23.29 tff(22972,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB145) | v112(constB145) | (~v108(constB145)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(22973,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB145)) | v26(constB145) | v112(constB145)),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[22972, 22971])).
% 34.64/23.29 tff(22974,plain,
% 34.64/23.29 ((~v108(constB145)) | v112(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22973, 22967, 21266])).
% 34.64/23.29 tff(22975,plain,
% 34.64/23.29 (v112(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22974, 22957])).
% 34.64/23.29 tff(22976,plain,
% 34.64/23.29 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v112(VarCurr))) <=> (v113(VarCurr) | (~v112(VarCurr))))),
% 34.64/23.29 inference(bind,[status(th)],[])).
% 34.64/23.29 tff(22977,plain,
% 34.64/23.29 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 34.64/23.29 inference(quant_intro,[status(thm)],[22976])).
% 34.64/23.29 tff(22978,plain,
% 34.64/23.29 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(22979,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_2')).
% 34.64/23.29 tff(22980,plain,
% 34.64/23.29 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[22979, 22978])).
% 34.64/23.29 tff(22981,plain,(
% 34.64/23.29 ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 34.64/23.29 inference(skolemize,[status(sab)],[22980])).
% 34.64/23.29 tff(22982,plain,
% 34.64/23.29 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[22981, 22977])).
% 34.64/23.29 tff(22983,plain,
% 34.64/23.29 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB145) | (~v112(constB145)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB145) | (~v112(constB145)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(22984,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB145) | (~v112(constB145)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(22985,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB145) | (~v112(constB145))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[22984, 22983])).
% 34.64/23.29 tff(22986,plain,
% 34.64/23.29 (v113(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22985, 22982, 22975])).
% 34.64/23.29 tff(22987,plain,
% 34.64/23.29 (v129(constB146, bitIndex0)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22864, 22955])).
% 34.64/23.29 tff(22988,plain,
% 34.64/23.29 (v127(constB145, bitIndex0)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22869, 22987])).
% 34.64/23.29 tff(22989,plain,
% 34.64/23.29 (v130(constB145, bitIndex0)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22877, 22988])).
% 34.64/23.29 tff(22990,plain,
% 34.64/23.29 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB145)) | (~v130(constB145, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB145)) | (~v130(constB145, bitIndex0)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(22991,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB145)) | (~v130(constB145, bitIndex0)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(22992,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB145)) | (~v130(constB145, bitIndex0))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[22991, 22990])).
% 34.64/23.29 tff(22993,plain,
% 34.64/23.29 (~v120(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22992, 1168, 22989])).
% 34.64/23.29 tff(22994,assumption,(v90(constB145, bitIndex0)), introduced(assumption)).
% 34.64/23.29 tff(22995,plain,
% 34.64/23.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB145, bitIndex0)) | (~v121(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB145, bitIndex0)) | (~v121(constB145)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(22996,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB145, bitIndex0)) | (~v121(constB145)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(22997,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB145, bitIndex0)) | (~v121(constB145))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[22996, 22995])).
% 34.64/23.29 tff(22998,plain,
% 34.64/23.29 (~v121(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22997, 6151, 22994])).
% 34.64/23.29 tff(22999,plain,
% 34.64/23.29 (~v124(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[22881, 2277, 22989])).
% 34.64/23.29 tff(23000,plain,
% 34.64/23.29 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB145)) | (~v130(constB145, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB145)) | (~v130(constB145, bitIndex0)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23001,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB145)) | (~v130(constB145, bitIndex0)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(23002,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB145)) | (~v130(constB145, bitIndex0))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[23001, 23000])).
% 34.64/23.29 tff(23003,plain,
% 34.64/23.29 (~v122(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23002, 1721, 22989])).
% 34.64/23.29 tff(23004,plain,
% 34.64/23.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB145, bitIndex0)) | (~v119(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB145, bitIndex0)) | (~v119(constB145)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23005,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB145, bitIndex0)) | (~v119(constB145)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(23006,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB145, bitIndex0)) | (~v119(constB145))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[23005, 23004])).
% 34.64/23.29 tff(23007,plain,
% 34.64/23.29 (~v119(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23006, 16172, 22994])).
% 34.64/23.29 tff(23008,plain,
% 34.64/23.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB145) | v119(constB145) | (~v118(constB145)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB145) | v119(constB145) | (~v118(constB145)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23009,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB145) | v119(constB145) | (~v118(constB145)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(23010,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB145) | v119(constB145) | (~v118(constB145))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[23009, 23008])).
% 34.64/23.29 tff(23011,plain,
% 34.64/23.29 (v119(constB145) | (~v118(constB145))),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23010, 16160, 21642])).
% 34.64/23.29 tff(23012,plain,
% 34.64/23.29 (~v118(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23011, 23007])).
% 34.64/23.29 tff(23013,plain,
% 34.64/23.29 (((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB145) | v121(constB145) | (~v117(constB145)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB145) | v121(constB145) | (~v117(constB145)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23014,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB145) | v121(constB145) | (~v117(constB145)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(23015,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB145) | v121(constB145) | (~v117(constB145))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[23014, 23013])).
% 34.64/23.29 tff(23016,plain,
% 34.64/23.29 (v118(constB145) | (~v117(constB145))),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23015, 16145, 21643])).
% 34.64/23.29 tff(23017,plain,
% 34.64/23.29 (~v117(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23016, 23012])).
% 34.64/23.29 tff(23018,plain,
% 34.64/23.29 (((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB145) | v122(constB145) | (~v116(constB145)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB145) | v122(constB145) | (~v116(constB145)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23019,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB145) | v122(constB145) | (~v116(constB145)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(23020,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB145) | v122(constB145) | (~v116(constB145))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[23019, 23018])).
% 34.64/23.29 tff(23021,plain,
% 34.64/23.29 (v117(constB145) | (~v116(constB145))),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23020, 16129, 21641])).
% 34.64/23.29 tff(23022,plain,
% 34.64/23.29 (~v116(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23021, 23017])).
% 34.64/23.29 tff(23023,plain,
% 34.64/23.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | ((~v90(constB145, bitIndex0)) | (~v125(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | (~v90(constB145, bitIndex0)) | (~v125(constB145)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23024,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | ((~v90(constB145, bitIndex0)) | (~v125(constB145)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(23025,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | (~v90(constB145, bitIndex0)) | (~v125(constB145))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[23024, 23023])).
% 34.64/23.29 tff(23026,plain,
% 34.64/23.29 (~v125(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23025, 5973, 22994])).
% 34.64/23.29 tff(23027,assumption,(v113(constB145)), introduced(assumption)).
% 34.64/23.29 tff(23028,plain,
% 34.64/23.29 (((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB145) | v125(constB145) | (~v113(constB145)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB145) | v125(constB145) | (~v113(constB145)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23029,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB145) | v125(constB145) | (~v113(constB145)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(23030,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB145) | v125(constB145) | (~v113(constB145))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[23029, 23028])).
% 34.64/23.29 tff(23031,plain,
% 34.64/23.29 (v114(constB145) | v125(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23030, 16083, 23027])).
% 34.64/23.29 tff(23032,plain,
% 34.64/23.29 (v114(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23031, 23026])).
% 34.64/23.29 tff(23033,plain,
% 34.64/23.29 (((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB145) | v124(constB145) | (~v114(constB145)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB145) | v124(constB145) | (~v114(constB145)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23034,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB145) | v124(constB145) | (~v114(constB145)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(23035,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB145) | v124(constB145) | (~v114(constB145))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[23034, 23033])).
% 34.64/23.29 tff(23036,plain,
% 34.64/23.29 (v115(constB145) | (~v114(constB145))),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23035, 16098, 21640])).
% 34.64/23.29 tff(23037,plain,
% 34.64/23.29 (v115(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23036, 23032])).
% 34.64/23.29 tff(23038,plain,
% 34.64/23.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB145, bitIndex0)) | (~v123(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB145, bitIndex0)) | (~v123(constB145)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23039,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB145, bitIndex0)) | (~v123(constB145)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(23040,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB145, bitIndex0)) | (~v123(constB145))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[23039, 23038])).
% 34.64/23.29 tff(23041,plain,
% 34.64/23.29 (~v123(constB145)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23040, 5988, 22994])).
% 34.64/23.29 tff(23042,plain,
% 34.64/23.29 (((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB145) | v123(constB145) | (~v115(constB145)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB145) | v123(constB145) | (~v115(constB145)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23043,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB145) | v123(constB145) | (~v115(constB145)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(23044,plain,
% 34.64/23.29 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB145) | v123(constB145) | (~v115(constB145))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[23043, 23042])).
% 34.64/23.29 tff(23045,plain,
% 34.64/23.29 ($false),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23044, 16113, 23041, 23037, 23022])).
% 34.64/23.29 tff(23046,plain,((~v90(constB145, bitIndex0)) | v122(constB145) | v121(constB145) | v124(constB145) | v120(constB145) | (~v113(constB145))), inference(lemma,lemma(discharge,[]))).
% 34.64/23.29 tff(23047,plain,
% 34.64/23.29 ($false),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23046, 23003, 22999, 22994, 22998, 22993, 22986])).
% 34.64/23.29 tff(23048,plain,((~v100(constB146)) | (~v90(constB145, bitIndex0)) | (~v90(constB146, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.64/23.29 tff(23049,plain,
% 34.64/23.29 (~v100(constB146)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23048, 22954, 22795])).
% 34.64/23.29 tff(23050,plain,
% 34.64/23.29 (v90(constB145, bitIndex1)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21464, 23049, 22778])).
% 34.64/23.29 tff(23051,plain,
% 34.64/23.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex1)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23052,plain,
% 34.64/23.29 (((~nextState(constB144, constB145)) | v90(constB144, bitIndex1) | v100(constB145) | (~v90(constB145, bitIndex1))) <=> (v90(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex1)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23053,plain,
% 34.64/23.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex1) | v100(constB145) | (~v90(constB145, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex1))))),
% 34.64/23.29 inference(monotonicity,[status(thm)],[23052])).
% 34.64/23.29 tff(23054,plain,
% 34.64/23.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex1) | v100(constB145) | (~v90(constB145, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex1)))),
% 34.64/23.29 inference(transitivity,[status(thm)],[23053, 23051])).
% 34.64/23.29 tff(23055,plain,
% 34.64/23.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex1) | v100(constB145) | (~v90(constB145, bitIndex1)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(23056,plain,
% 34.64/23.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex1))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[23055, 23054])).
% 34.64/23.29 tff(23057,plain,
% 34.64/23.29 (v90(constB144, bitIndex1) | v100(constB145) | (~v90(constB145, bitIndex1))),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23056, 434, 21195])).
% 34.64/23.29 tff(23058,plain,
% 34.64/23.29 (v90(constB144, bitIndex1) | (~v90(constB145, bitIndex1))),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23057, 21207])).
% 34.64/23.29 tff(23059,plain,
% 34.64/23.29 (v90(constB144, bitIndex1)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23058, 23050])).
% 34.64/23.29 tff(23060,plain,
% 34.64/23.29 (v90(constB144, bitIndex0)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21315, 22954])).
% 34.64/23.29 tff(23061,plain,
% 34.64/23.29 (v90(constB145, bitIndex2)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21545, 23049, 22804])).
% 34.64/23.29 tff(23062,plain,
% 34.64/23.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex2)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23063,plain,
% 34.64/23.29 (((~nextState(constB144, constB145)) | v90(constB144, bitIndex2) | v100(constB145) | (~v90(constB145, bitIndex2))) <=> (v90(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex2)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23064,plain,
% 34.64/23.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex2) | v100(constB145) | (~v90(constB145, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex2))))),
% 34.64/23.29 inference(monotonicity,[status(thm)],[23063])).
% 34.64/23.29 tff(23065,plain,
% 34.64/23.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex2) | v100(constB145) | (~v90(constB145, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex2)))),
% 34.64/23.29 inference(transitivity,[status(thm)],[23064, 23062])).
% 34.64/23.29 tff(23066,plain,
% 34.64/23.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex2) | v100(constB145) | (~v90(constB145, bitIndex2)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(23067,plain,
% 34.64/23.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex2))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[23066, 23065])).
% 34.64/23.29 tff(23068,plain,
% 34.64/23.29 (v90(constB144, bitIndex2) | v100(constB145) | (~v90(constB145, bitIndex2))),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23067, 413, 21195])).
% 34.64/23.29 tff(23069,plain,
% 34.64/23.29 (v90(constB144, bitIndex2) | (~v90(constB145, bitIndex2))),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23068, 21207])).
% 34.64/23.29 tff(23070,plain,
% 34.64/23.29 (v90(constB144, bitIndex2)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23069, 23061])).
% 34.64/23.29 tff(23071,plain,
% 34.64/23.29 (v130(constB141, bitIndex0)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21125, 23070, 23060, 23059])).
% 34.64/23.29 tff(23072,plain,
% 34.64/23.29 (~v122(constB141)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21129, 1721, 23071])).
% 34.64/23.29 tff(23073,plain,
% 34.64/23.29 (v129(constB144, bitIndex1)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21087, 20554])).
% 34.64/23.29 tff(23074,plain,
% 34.64/23.29 (v127(constB143, bitIndex1)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21092, 23073])).
% 34.64/23.29 tff(23075,plain,
% 34.64/23.29 (v130(constB143, bitIndex1)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21100, 23074])).
% 34.64/23.29 tff(23076,plain,
% 34.64/23.29 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB143)) | (~v130(constB143, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB143)) | (~v130(constB143, bitIndex1)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23077,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB143)) | (~v130(constB143, bitIndex1)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(23078,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB143)) | (~v130(constB143, bitIndex1))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[23077, 23076])).
% 34.64/23.29 tff(23079,plain,
% 34.64/23.29 (~v119(constB143)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23078, 767, 23075])).
% 34.64/23.29 tff(23080,plain,
% 34.64/23.29 (~v123(constB143)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21123, 1909, 23075])).
% 34.64/23.29 tff(23081,plain,
% 34.64/23.29 (v129(constB144, bitIndex2)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21042, 20554])).
% 34.64/23.29 tff(23082,plain,
% 34.64/23.29 (v127(constB143, bitIndex2)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21047, 23081])).
% 34.64/23.29 tff(23083,plain,
% 34.64/23.29 (v130(constB143, bitIndex2)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21055, 23082])).
% 34.64/23.29 tff(23084,plain,
% 34.64/23.29 (v129(constB144, bitIndex0) | (~v100(constB144))),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21305, 1215, 20631])).
% 34.64/23.29 tff(23085,plain,
% 34.64/23.29 (v129(constB144, bitIndex0)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23084, 20554])).
% 34.64/23.29 tff(23086,plain,
% 34.64/23.29 (v127(constB143, bitIndex0)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21298, 23085])).
% 34.64/23.29 tff(23087,plain,
% 34.64/23.29 (v130(constB143, bitIndex0)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21293, 23086])).
% 34.64/23.29 tff(23088,plain,
% 34.64/23.29 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB143)) | (~v130(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB143)) | (~v130(constB143, bitIndex0)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23089,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB143)) | (~v130(constB143, bitIndex0)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(23090,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB143)) | (~v130(constB143, bitIndex0))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[23089, 23088])).
% 34.64/23.29 tff(23091,plain,
% 34.64/23.29 (~v120(constB143)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23090, 1168, 23087])).
% 34.64/23.29 tff(23092,plain,
% 34.64/23.29 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB143)) | (~v130(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB143)) | (~v130(constB143, bitIndex0)))),
% 34.64/23.29 inference(rewrite,[status(thm)],[])).
% 34.64/23.29 tff(23093,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB143)) | (~v130(constB143, bitIndex0)))),
% 34.64/23.29 inference(quant_inst,[status(thm)],[])).
% 34.64/23.29 tff(23094,plain,
% 34.64/23.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB143)) | (~v130(constB143, bitIndex0))),
% 34.64/23.29 inference(modus_ponens,[status(thm)],[23093, 23092])).
% 34.64/23.29 tff(23095,plain,
% 34.64/23.29 (~v122(constB143)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[23094, 1721, 23087])).
% 34.64/23.29 tff(23096,plain,
% 34.64/23.29 (~v124(constB143)),
% 34.64/23.29 inference(unit_resolution,[status(thm)],[21285, 2277, 23087])).
% 34.64/23.29 tff(23097,plain,
% 34.64/23.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB143, bitIndex2)) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB143, bitIndex2)) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143))),
% 34.64/23.30 inference(rewrite,[status(thm)],[])).
% 34.64/23.30 tff(23098,plain,
% 34.64/23.30 ((v120(constB143) | v119(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex2))) <=> ((~v130(constB143, bitIndex2)) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143))),
% 34.64/23.30 inference(rewrite,[status(thm)],[])).
% 34.64/23.30 tff(23099,plain,
% 34.64/23.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB143) | v119(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB143, bitIndex2)) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143)))),
% 34.64/23.30 inference(monotonicity,[status(thm)],[23098])).
% 34.64/23.30 tff(23100,plain,
% 34.64/23.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB143) | v119(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB143, bitIndex2)) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143))),
% 34.64/23.30 inference(transitivity,[status(thm)],[23099, 23097])).
% 34.64/23.30 tff(23101,plain,
% 34.64/23.30 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB143) | v119(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex2)))),
% 34.64/23.30 inference(quant_inst,[status(thm)],[])).
% 34.64/23.30 tff(23102,plain,
% 34.64/23.30 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB143, bitIndex2)) | v124(constB143) | v123(constB143) | v122(constB143) | v121(constB143) | v120(constB143) | v119(constB143)),
% 34.64/23.30 inference(modus_ponens,[status(thm)],[23101, 23100])).
% 34.64/23.30 tff(23103,plain,
% 34.64/23.30 (v121(constB143)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[23102, 2244, 23096, 23095, 23091, 23083, 23080, 23079])).
% 34.64/23.30 tff(23104,plain,
% 34.64/23.30 ($false),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[21059, 1342, 23083, 23103])).
% 34.64/23.30 tff(23105,plain,((~v100(constB144)) | (~v90(constB144, bitIndex2)) | (~v90(constB144, bitIndex1)) | (~v90(constB144, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.64/23.30 tff(23106,plain,
% 34.64/23.30 (~v100(constB144)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[23105, 23070, 23060, 23059])).
% 34.64/23.30 tff(23107,plain,
% 34.64/23.30 (v90(constB143, bitIndex0)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20629, 23106, 23060])).
% 34.64/23.30 tff(23108,plain,
% 34.64/23.30 (v90(constB142, bitIndex0)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20685, 23107])).
% 34.64/23.30 tff(23109,plain,
% 34.64/23.30 (v90(constB143, bitIndex1)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20609, 23106, 23059])).
% 34.64/23.30 tff(23110,plain,
% 34.64/23.30 (v90(constB142, bitIndex1)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20323, 23109])).
% 34.64/23.30 tff(23111,plain,
% 34.64/23.30 (v90(constB143, bitIndex2)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20457, 23106, 23070])).
% 34.64/23.30 tff(23112,plain,
% 34.64/23.30 (v90(constB142, bitIndex2)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20694, 23111])).
% 34.64/23.30 tff(23113,plain,
% 34.64/23.30 (v100(constB142)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20855, 23112, 23110, 23108])).
% 34.64/23.30 tff(23114,plain,
% 34.64/23.30 (v129(constB142, bitIndex1) | (~v100(constB142))),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20313, 814, 23110])).
% 34.64/23.30 tff(23115,plain,
% 34.64/23.30 (v129(constB142, bitIndex1)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[23114, 23113])).
% 34.64/23.30 tff(23116,plain,
% 34.64/23.30 (v127(constB141, bitIndex1)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20306, 23115])).
% 34.64/23.30 tff(23117,plain,
% 34.64/23.30 (v130(constB141, bitIndex1)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20301, 23116])).
% 34.64/23.30 tff(23118,plain,
% 34.64/23.30 (~v124(constB141)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[21133, 2277, 23071])).
% 34.64/23.30 tff(23119,plain,
% 34.64/23.30 (~v120(constB141)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[21173, 23070])).
% 34.64/23.30 tff(23120,plain,
% 34.64/23.30 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB141)) | (~v130(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB141)) | (~v130(constB141, bitIndex1)))),
% 34.64/23.30 inference(rewrite,[status(thm)],[])).
% 34.64/23.30 tff(23121,plain,
% 34.64/23.30 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB141)) | (~v130(constB141, bitIndex1)))),
% 34.64/23.30 inference(quant_inst,[status(thm)],[])).
% 34.64/23.30 tff(23122,plain,
% 34.64/23.30 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB141)) | (~v130(constB141, bitIndex1))),
% 34.64/23.30 inference(modus_ponens,[status(thm)],[23121, 23120])).
% 34.64/23.30 tff(23123,plain,
% 34.64/23.30 (~v119(constB141)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[23122, 767, 23117])).
% 34.64/23.30 tff(23124,plain,
% 34.64/23.30 (v129(constB142, bitIndex2) | (~v100(constB142))),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20862, 722, 23112])).
% 34.64/23.30 tff(23125,plain,
% 34.64/23.30 (v129(constB142, bitIndex2)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[23124, 23113])).
% 34.64/23.30 tff(23126,plain,
% 34.64/23.30 (v127(constB141, bitIndex2)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20868, 23125])).
% 34.64/23.30 tff(23127,plain,
% 34.64/23.30 (v130(constB141, bitIndex2)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20876, 23126])).
% 34.64/23.30 tff(23128,plain,
% 34.64/23.30 (~v121(constB141)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20884, 1342, 23127])).
% 34.64/23.30 tff(23129,assumption,(v123(constB141)), introduced(assumption)).
% 34.64/23.30 tff(23130,plain,
% 34.64/23.30 (v115(constB141)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20173, 1776, 23129])).
% 34.64/23.30 tff(23131,plain,
% 34.64/23.30 (v114(constB141)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20177, 531, 23130])).
% 34.64/23.30 tff(23132,plain,
% 34.64/23.30 (v113(constB141)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20181, 542, 23131])).
% 34.64/23.30 tff(23133,plain,
% 34.64/23.30 (v112(constB141)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20193, 23132])).
% 34.64/23.30 tff(23134,plain,
% 34.64/23.30 (v108(constB141)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20197, 568, 23133])).
% 34.64/23.30 tff(23135,plain,
% 34.64/23.30 (v110(constB142)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20208, 23134])).
% 34.64/23.30 tff(23136,plain,
% 34.64/23.30 (v100(constB142)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20240, 23135])).
% 34.64/23.30 tff(23137,plain,
% 34.64/23.30 (~v130(constB141, bitIndex1)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20293, 1909, 23129])).
% 34.64/23.30 tff(23138,plain,
% 34.64/23.30 (~v127(constB141, bitIndex1)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20301, 23137])).
% 34.64/23.30 tff(23139,plain,
% 34.64/23.30 (~v129(constB142, bitIndex1)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20306, 23138])).
% 34.64/23.30 tff(23140,plain,
% 34.64/23.30 ((~v90(constB142, bitIndex1)) | (~v100(constB142))),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20313, 814, 23139])).
% 34.64/23.30 tff(23141,plain,
% 34.64/23.30 (~v90(constB142, bitIndex1)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[23140, 23136])).
% 34.64/23.30 tff(23142,plain,
% 34.64/23.30 (~v90(constB143, bitIndex1)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20323, 23141])).
% 34.64/23.30 tff(23143,plain,
% 34.64/23.30 (v130(constB141, bitIndex2)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20244, 1850, 23129])).
% 34.64/23.30 tff(23144,plain,
% 34.64/23.30 (v127(constB141, bitIndex2)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20249, 23143])).
% 34.64/23.30 tff(23145,plain,
% 34.64/23.30 (v129(constB142, bitIndex2)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20254, 23144])).
% 34.64/23.30 tff(23146,plain,
% 34.64/23.30 (v90(constB142, bitIndex2) | (~v100(constB142))),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20261, 1622, 23145])).
% 34.64/23.30 tff(23147,plain,
% 34.64/23.30 (v90(constB142, bitIndex2)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[23146, 23136])).
% 34.64/23.30 tff(23148,plain,
% 34.64/23.30 (v90(constB143, bitIndex2)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20289, 23147])).
% 34.64/23.30 tff(23149,plain,
% 34.64/23.30 (v130(constB141, bitIndex0)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20327, 1953, 23129])).
% 34.64/23.30 tff(23150,plain,
% 34.64/23.30 (v127(constB141, bitIndex0)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20332, 23149])).
% 34.64/23.30 tff(23151,plain,
% 34.64/23.30 (v129(constB142, bitIndex0)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20337, 23150])).
% 34.64/23.30 tff(23152,plain,
% 34.64/23.30 (v90(constB142, bitIndex0) | (~v100(constB142))),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20344, 885, 23151])).
% 34.64/23.30 tff(23153,plain,
% 34.64/23.30 (v90(constB142, bitIndex0)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[23152, 23136])).
% 34.64/23.30 tff(23154,plain,
% 34.64/23.30 (v90(constB143, bitIndex0)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20354, 23153])).
% 34.64/23.30 tff(23155,plain,
% 34.64/23.30 (v124(constB143)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20358, 1994, 23154, 23142, 23148])).
% 34.64/23.30 tff(23156,plain,
% 34.64/23.30 (~v130(constB143, bitIndex0)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[21285, 2277, 23155])).
% 34.64/23.30 tff(23157,plain,
% 34.64/23.30 (~v127(constB143, bitIndex0)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[21293, 23156])).
% 34.64/23.30 tff(23158,plain,
% 34.64/23.30 (~v129(constB144, bitIndex0)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[21298, 23157])).
% 34.64/23.30 tff(23159,plain,
% 34.64/23.30 (v90(constB144, bitIndex0)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[21315, 22994])).
% 34.64/23.30 tff(23160,plain,
% 34.64/23.30 (v129(constB144, bitIndex0) | (~v100(constB144))),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[21305, 1215, 23159])).
% 34.64/23.30 tff(23161,plain,
% 34.64/23.30 (~v100(constB144)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[23160, 23158])).
% 34.64/23.30 tff(23162,plain,
% 34.64/23.30 (~v90(constB144, bitIndex1)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20609, 23161, 23142])).
% 34.64/23.30 tff(23163,plain,
% 34.64/23.30 (~v90(constB145, bitIndex1)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[23058, 23162])).
% 34.64/23.30 tff(23164,plain,
% 34.64/23.30 (v90(constB144, bitIndex2)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[20466, 23161, 23148])).
% 34.64/23.30 tff(23165,plain,
% 34.64/23.30 (v90(constB145, bitIndex2)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[21234, 23164])).
% 34.64/23.30 tff(23166,plain,
% 34.64/23.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB145, bitIndex0)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | v124(constB145))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB145, bitIndex0)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | v124(constB145))),
% 34.64/23.30 inference(rewrite,[status(thm)],[])).
% 34.64/23.30 tff(23167,plain,
% 34.64/23.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB145, bitIndex0)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | v124(constB145))),
% 34.64/23.30 inference(quant_inst,[status(thm)],[])).
% 34.64/23.30 tff(23168,plain,
% 34.64/23.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB145, bitIndex0)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | v124(constB145)),
% 34.64/23.30 inference(modus_ponens,[status(thm)],[23167, 23166])).
% 34.64/23.30 tff(23169,plain,
% 34.64/23.30 (v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | v124(constB145)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[23168, 1994, 22994])).
% 34.64/23.30 tff(23170,plain,
% 34.64/23.30 (v124(constB145)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[23169, 23165, 23163])).
% 34.64/23.30 tff(23171,plain,
% 34.64/23.30 (v100(constB146)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[21464, 23163, 21492])).
% 34.64/23.30 tff(23172,plain,
% 34.64/23.30 (v129(constB146, bitIndex0)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[22864, 23171])).
% 34.64/23.30 tff(23173,plain,
% 34.64/23.30 (v127(constB145, bitIndex0)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[22869, 23172])).
% 34.64/23.30 tff(23174,plain,
% 34.64/23.30 (v130(constB145, bitIndex0)),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[22877, 23173])).
% 34.64/23.30 tff(23175,plain,
% 34.64/23.30 ($false),
% 34.64/23.30 inference(unit_resolution,[status(thm)],[22881, 2277, 23174, 23170])).
% 34.64/23.30 tff(23176,plain,((~v123(constB141)) | (~v90(constB146, bitIndex0)) | (~v90(constB145, bitIndex0)) | (~v90(constB146, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 34.64/23.30 tff(23177,plain,
% 34.64/23.30 (~v123(constB141)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23176, 22795, 22954, 22778])).
% 34.71/23.30 tff(23178,plain,
% 34.71/23.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB141, bitIndex1)) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB141, bitIndex1)) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23179,plain,
% 34.71/23.30 ((v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex1))) <=> ((~v130(constB141, bitIndex1)) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23180,plain,
% 34.71/23.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB141, bitIndex1)) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141)))),
% 34.71/23.30 inference(monotonicity,[status(thm)],[23179])).
% 34.71/23.30 tff(23181,plain,
% 34.71/23.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB141, bitIndex1)) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141))),
% 34.71/23.30 inference(transitivity,[status(thm)],[23180, 23178])).
% 34.71/23.30 tff(23182,plain,
% 34.71/23.30 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex1)))),
% 34.71/23.30 inference(quant_inst,[status(thm)],[])).
% 34.71/23.30 tff(23183,plain,
% 34.71/23.30 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB141, bitIndex1)) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141)),
% 34.71/23.30 inference(modus_ponens,[status(thm)],[23182, 23181])).
% 34.71/23.30 tff(23184,plain,
% 34.71/23.30 ((~v130(constB141, bitIndex1)) | v124(constB141) | v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23183, 2448, 23177])).
% 34.71/23.30 tff(23185,plain,
% 34.71/23.30 ($false),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23184, 23128, 23123, 23119, 23118, 23117, 23072])).
% 34.71/23.30 tff(23186,plain,(v100(constB152) | (~v90(constB152, bitIndex1)) | (~v90(constB152, bitIndex2)) | (~v90(constB152, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.71/23.30 tff(23187,plain,
% 34.71/23.30 (v100(constB152)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23186, 22529, 22519, 22501])).
% 34.71/23.30 tff(23188,plain,
% 34.71/23.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | v129(constB152, bitIndex2) | (~v100(constB152)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | v129(constB152, bitIndex2) | (~v100(constB152)))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23189,plain,
% 34.71/23.30 (((~v90(constB152, bitIndex2)) | (~v100(constB152)) | v129(constB152, bitIndex2)) <=> ((~v90(constB152, bitIndex2)) | v129(constB152, bitIndex2) | (~v100(constB152)))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23190,plain,
% 34.71/23.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~v100(constB152)) | v129(constB152, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | v129(constB152, bitIndex2) | (~v100(constB152))))),
% 34.71/23.30 inference(monotonicity,[status(thm)],[23189])).
% 34.71/23.30 tff(23191,plain,
% 34.71/23.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~v100(constB152)) | v129(constB152, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | v129(constB152, bitIndex2) | (~v100(constB152)))),
% 34.71/23.30 inference(transitivity,[status(thm)],[23190, 23188])).
% 34.71/23.30 tff(23192,plain,
% 34.71/23.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~v100(constB152)) | v129(constB152, bitIndex2))),
% 34.71/23.30 inference(quant_inst,[status(thm)],[])).
% 34.71/23.30 tff(23193,plain,
% 34.71/23.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | v129(constB152, bitIndex2) | (~v100(constB152))),
% 34.71/23.30 inference(modus_ponens,[status(thm)],[23192, 23191])).
% 34.71/23.30 tff(23194,plain,
% 34.71/23.30 (v129(constB152, bitIndex2) | (~v100(constB152))),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23193, 722, 22519])).
% 34.71/23.30 tff(23195,plain,
% 34.71/23.30 (v129(constB152, bitIndex2)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23194, 23187])).
% 34.71/23.30 tff(23196,plain,
% 34.71/23.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex2) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex2) | (~v129(constB152, bitIndex2)))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23197,plain,
% 34.71/23.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex2) | (~v129(constB152, bitIndex2)))),
% 34.71/23.30 inference(quant_inst,[status(thm)],[])).
% 34.71/23.30 tff(23198,plain,
% 34.71/23.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex2) | (~v129(constB152, bitIndex2))),
% 34.71/23.30 inference(modus_ponens,[status(thm)],[23197, 23196])).
% 34.71/23.30 tff(23199,plain,
% 34.71/23.30 (v127(constB151, bitIndex2) | (~v129(constB152, bitIndex2))),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23198, 707, 22123])).
% 34.71/23.30 tff(23200,plain,
% 34.71/23.30 (v127(constB151, bitIndex2)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23199, 23195])).
% 34.71/23.30 tff(23201,plain,
% 34.71/23.30 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB151, bitIndex2)) | v26(constB151) | v130(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB151, bitIndex2)) | v26(constB151) | v130(constB151, bitIndex2))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23202,plain,
% 34.71/23.30 ((v26(constB151) | v130(constB151, bitIndex2) | (~v127(constB151, bitIndex2))) <=> ((~v127(constB151, bitIndex2)) | v26(constB151) | v130(constB151, bitIndex2))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23203,plain,
% 34.71/23.30 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB151) | v130(constB151, bitIndex2) | (~v127(constB151, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB151, bitIndex2)) | v26(constB151) | v130(constB151, bitIndex2)))),
% 34.71/23.30 inference(monotonicity,[status(thm)],[23202])).
% 34.71/23.30 tff(23204,plain,
% 34.71/23.30 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB151) | v130(constB151, bitIndex2) | (~v127(constB151, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB151, bitIndex2)) | v26(constB151) | v130(constB151, bitIndex2))),
% 34.71/23.30 inference(transitivity,[status(thm)],[23203, 23201])).
% 34.71/23.30 tff(23205,plain,
% 34.71/23.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB151) | v130(constB151, bitIndex2) | (~v127(constB151, bitIndex2)))),
% 34.71/23.30 inference(quant_inst,[status(thm)],[])).
% 34.71/23.30 tff(23206,plain,
% 34.71/23.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB151, bitIndex2)) | v26(constB151) | v130(constB151, bitIndex2)),
% 34.71/23.30 inference(modus_ponens,[status(thm)],[23205, 23204])).
% 34.71/23.30 tff(23207,plain,
% 34.71/23.30 ((~v127(constB151, bitIndex2)) | v130(constB151, bitIndex2)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23206, 689, 22108])).
% 34.71/23.30 tff(23208,plain,
% 34.71/23.30 (v130(constB151, bitIndex2)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23207, 23200])).
% 34.71/23.30 tff(23209,plain,
% 34.71/23.30 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB151)) | (~v130(constB151, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB151)) | (~v130(constB151, bitIndex2)))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23210,plain,
% 34.71/23.30 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB151)) | (~v130(constB151, bitIndex2)))),
% 34.71/23.30 inference(quant_inst,[status(thm)],[])).
% 34.71/23.30 tff(23211,plain,
% 34.71/23.30 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB151)) | (~v130(constB151, bitIndex2))),
% 34.71/23.30 inference(modus_ponens,[status(thm)],[23210, 23209])).
% 34.71/23.30 tff(23212,plain,
% 34.71/23.30 (~v120(constB151)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23211, 1025, 23208])).
% 34.71/23.30 tff(23213,plain,
% 34.71/23.30 (v129(constB152, bitIndex1) | (~v100(constB152))),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[22277, 814, 22529])).
% 34.71/23.30 tff(23214,plain,
% 34.71/23.30 (v129(constB152, bitIndex1)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23213, 23187])).
% 34.71/23.30 tff(23215,plain,
% 34.71/23.30 (v127(constB151, bitIndex1)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[22270, 23214])).
% 34.71/23.30 tff(23216,plain,
% 34.71/23.30 (v130(constB151, bitIndex1)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[22265, 23215])).
% 34.71/23.30 tff(23217,plain,
% 34.71/23.30 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB151)) | (~v130(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB151)) | (~v130(constB151, bitIndex1)))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23218,plain,
% 34.71/23.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB151)) | (~v130(constB151, bitIndex1)))),
% 34.71/23.30 inference(quant_inst,[status(thm)],[])).
% 34.71/23.30 tff(23219,plain,
% 34.71/23.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB151)) | (~v130(constB151, bitIndex1))),
% 34.71/23.30 inference(modus_ponens,[status(thm)],[23218, 23217])).
% 34.71/23.30 tff(23220,plain,
% 34.71/23.30 (~v123(constB151)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23219, 1909, 23216])).
% 34.71/23.30 tff(23221,assumption,(~v124(constB151)), introduced(assumption)).
% 34.71/23.30 tff(23222,plain,
% 34.71/23.30 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB151)) | (~v130(constB151, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB151)) | (~v130(constB151, bitIndex2)))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23223,plain,
% 34.71/23.30 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB151)) | (~v130(constB151, bitIndex2)))),
% 34.71/23.30 inference(quant_inst,[status(thm)],[])).
% 34.71/23.30 tff(23224,plain,
% 34.71/23.30 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB151)) | (~v130(constB151, bitIndex2))),
% 34.71/23.30 inference(modus_ponens,[status(thm)],[23223, 23222])).
% 34.71/23.30 tff(23225,plain,
% 34.71/23.30 (~v121(constB151)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23224, 1342, 23208])).
% 34.71/23.30 tff(23226,plain,
% 34.71/23.30 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB151)) | (~v130(constB151, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB151)) | (~v130(constB151, bitIndex2)))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23227,plain,
% 34.71/23.30 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB151)) | (~v130(constB151, bitIndex2)))),
% 34.71/23.30 inference(quant_inst,[status(thm)],[])).
% 34.71/23.30 tff(23228,plain,
% 34.71/23.30 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB151)) | (~v130(constB151, bitIndex2))),
% 34.71/23.30 inference(modus_ponens,[status(thm)],[23227, 23226])).
% 34.71/23.30 tff(23229,plain,
% 34.71/23.30 (~v119(constB151)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23228, 675, 23208])).
% 34.71/23.30 tff(23230,plain,
% 34.71/23.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v121(constB151) | v119(constB151) | v123(constB151) | v124(constB151) | v122(constB151) | v120(constB151) | (~v130(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v121(constB151) | v119(constB151) | v123(constB151) | v124(constB151) | v122(constB151) | v120(constB151) | (~v130(constB151, bitIndex1)))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23231,plain,
% 34.71/23.30 ((v120(constB151) | v119(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, bitIndex1))) <=> (v121(constB151) | v119(constB151) | v123(constB151) | v124(constB151) | v122(constB151) | v120(constB151) | (~v130(constB151, bitIndex1)))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23232,plain,
% 34.71/23.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB151) | v119(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v121(constB151) | v119(constB151) | v123(constB151) | v124(constB151) | v122(constB151) | v120(constB151) | (~v130(constB151, bitIndex1))))),
% 34.71/23.30 inference(monotonicity,[status(thm)],[23231])).
% 34.71/23.30 tff(23233,plain,
% 34.71/23.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB151) | v119(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v121(constB151) | v119(constB151) | v123(constB151) | v124(constB151) | v122(constB151) | v120(constB151) | (~v130(constB151, bitIndex1)))),
% 34.71/23.30 inference(transitivity,[status(thm)],[23232, 23230])).
% 34.71/23.30 tff(23234,plain,
% 34.71/23.30 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB151) | v119(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, bitIndex1)))),
% 34.71/23.30 inference(quant_inst,[status(thm)],[])).
% 34.71/23.30 tff(23235,plain,
% 34.71/23.30 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v121(constB151) | v119(constB151) | v123(constB151) | v124(constB151) | v122(constB151) | v120(constB151) | (~v130(constB151, bitIndex1))),
% 34.71/23.30 inference(modus_ponens,[status(thm)],[23234, 23233])).
% 34.71/23.30 tff(23236,plain,
% 34.71/23.30 (v121(constB151) | v119(constB151) | v123(constB151) | v124(constB151) | v120(constB151) | (~v130(constB151, bitIndex1))),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23235, 2448, 22080])).
% 34.71/23.30 tff(23237,plain,
% 34.71/23.30 ($false),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23236, 23229, 23225, 23221, 23216, 23220, 23212])).
% 34.71/23.30 tff(23238,plain,(v100(constB154) | v124(constB151) | v122(constB151) | (~v90(constB154, bitIndex1)) | (~v90(constB154, bitIndex0)) | (~v90(constB154, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 34.71/23.30 tff(23239,plain,
% 34.71/23.30 (v124(constB151)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23238, 22491, 22318, 22474, 22473, 22465])).
% 34.71/23.30 tff(23240,plain,
% 34.71/23.30 (v90(constB152, bitIndex0)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[22253, 22439])).
% 34.71/23.30 tff(23241,plain,
% 34.71/23.30 (v90(constB152, bitIndex1)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[22287, 22457])).
% 34.71/23.30 tff(23242,plain,
% 34.71/23.30 (v90(constB152, bitIndex2)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[22518, 22483])).
% 34.71/23.30 tff(23243,plain,
% 34.71/23.30 (v100(constB152)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23186, 23242, 23241, 23240])).
% 34.71/23.30 tff(23244,plain,
% 34.71/23.30 (v129(constB152, bitIndex0)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[22243, 1215, 23243, 23240])).
% 34.71/23.30 tff(23245,plain,
% 34.71/23.30 (v127(constB151, bitIndex0)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[22236, 23244])).
% 34.71/23.30 tff(23246,plain,
% 34.71/23.30 (v130(constB151, bitIndex0)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[22231, 23245])).
% 34.71/23.30 tff(23247,plain,
% 34.71/23.30 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB151)) | (~v130(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB151)) | (~v130(constB151, bitIndex0)))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23248,plain,
% 34.71/23.30 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB151)) | (~v130(constB151, bitIndex0)))),
% 34.71/23.30 inference(quant_inst,[status(thm)],[])).
% 34.71/23.30 tff(23249,plain,
% 34.71/23.30 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB151)) | (~v130(constB151, bitIndex0))),
% 34.71/23.30 inference(modus_ponens,[status(thm)],[23248, 23247])).
% 34.71/23.30 tff(23250,plain,
% 34.71/23.30 ($false),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23249, 2277, 23246, 23239])).
% 34.71/23.30 tff(23251,plain,(v100(constB154)), inference(lemma,lemma(discharge,[]))).
% 34.71/23.30 tff(23252,plain,
% 34.71/23.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23253,plain,
% 34.71/23.30 ((v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0))) <=> (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23254,plain,
% 34.71/23.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154))))),
% 34.71/23.30 inference(monotonicity,[status(thm)],[23253])).
% 34.71/23.30 tff(23255,plain,
% 34.71/23.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 34.71/23.30 inference(transitivity,[status(thm)],[23254, 23252])).
% 34.71/23.30 tff(23256,plain,
% 34.71/23.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))),
% 34.71/23.30 inference(quant_inst,[status(thm)],[])).
% 34.71/23.30 tff(23257,plain,
% 34.71/23.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154))),
% 34.71/23.30 inference(modus_ponens,[status(thm)],[23256, 23255])).
% 34.71/23.30 tff(23258,plain,
% 34.71/23.30 (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0))),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23257, 885, 23251])).
% 34.71/23.30 tff(23259,plain,
% 34.71/23.30 (v90(constB154, bitIndex0)),
% 34.71/23.30 inference(unit_resolution,[status(thm)],[23258, 22317])).
% 34.71/23.30 tff(23260,plain,
% 34.71/23.30 ((~v1(constB155)) <=> (~v1(constB155))),
% 34.71/23.30 inference(rewrite,[status(thm)],[])).
% 34.71/23.30 tff(23261,axiom,(~v1(constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 34.71/23.31 tff(23262,plain,
% 34.71/23.31 (~v1(constB155)),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23261, 23260])).
% 34.71/23.31 tff(23263,plain,
% 34.71/23.31 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23264,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 34.71/23.31 tff(23265,plain,
% 34.71/23.31 (nextState(constB154, constB155)),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23264, 23263])).
% 34.71/23.31 tff(23266,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23267,plain,
% 34.71/23.31 (((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23268,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))))),
% 34.71/23.31 inference(monotonicity,[status(thm)],[23267])).
% 34.71/23.31 tff(23269,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 34.71/23.31 inference(transitivity,[status(thm)],[23268, 23266])).
% 34.71/23.31 tff(23270,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23271,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23270, 23269])).
% 34.71/23.31 tff(23272,plain,
% 34.71/23.31 (~v101(constB155)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23271, 381, 23265, 23262])).
% 34.71/23.31 tff(23273,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23274,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23275,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155))),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23274, 23273])).
% 34.71/23.31 tff(23276,plain,
% 34.71/23.31 (v101(constB155) | (~v100(constB155))),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23275, 398, 23265])).
% 34.71/23.31 tff(23277,plain,
% 34.71/23.31 (~v100(constB155)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23276, 23272])).
% 34.71/23.31 tff(23278,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23279,plain,
% 34.71/23.31 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0)) <=> ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23280,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0)))),
% 34.71/23.31 inference(monotonicity,[status(thm)],[23279])).
% 34.71/23.31 tff(23281,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 34.71/23.31 inference(transitivity,[status(thm)],[23280, 23278])).
% 34.71/23.31 tff(23282,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23283,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0)),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23282, 23281])).
% 34.71/23.31 tff(23284,plain,
% 34.71/23.31 ((~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23283, 903, 23265])).
% 34.71/23.31 tff(23285,plain,
% 34.71/23.31 ((~v90(constB154, bitIndex0)) | v90(constB155, bitIndex0)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23284, 23277])).
% 34.71/23.31 tff(23286,plain,
% 34.71/23.31 (v90(constB155, bitIndex0)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23285, 23259])).
% 34.71/23.31 tff(23287,assumption,(v90(constB155, bitIndex0)), introduced(assumption)).
% 34.71/23.31 tff(23288,plain,
% 34.71/23.31 (v123(constB153)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[22295, 22088])).
% 34.71/23.31 tff(23289,plain,
% 34.71/23.31 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB153)) | (~v130(constB153, bitIndex1)))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23290,plain,
% 34.71/23.31 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex1)))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23291,plain,
% 34.71/23.31 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB153)) | (~v130(constB153, bitIndex1))),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23290, 23289])).
% 34.71/23.31 tff(23292,plain,
% 34.71/23.31 (~v130(constB153, bitIndex1)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23291, 1909, 23288])).
% 34.71/23.31 tff(23293,plain,
% 34.71/23.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23294,plain,
% 34.71/23.31 ((v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1))) <=> ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23295,plain,
% 34.71/23.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1)))),
% 34.71/23.31 inference(monotonicity,[status(thm)],[23294])).
% 34.71/23.31 tff(23296,plain,
% 34.71/23.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 34.71/23.31 inference(transitivity,[status(thm)],[23295, 23293])).
% 34.71/23.31 tff(23297,plain,
% 34.71/23.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23298,plain,
% 34.71/23.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1)),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23297, 23296])).
% 34.71/23.31 tff(23299,plain,
% 34.71/23.31 ((~v127(constB153, bitIndex1)) | v130(constB153, bitIndex1)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23298, 781, 22304])).
% 34.71/23.31 tff(23300,plain,
% 34.71/23.31 (~v127(constB153, bitIndex1)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23299, 23292])).
% 34.71/23.31 tff(23301,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23302,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23303,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1))),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23302, 23301])).
% 34.71/23.31 tff(23304,plain,
% 34.71/23.31 (v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1))),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23303, 799, 22312])).
% 34.71/23.31 tff(23305,plain,
% 34.71/23.31 (~v129(constB154, bitIndex1)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23304, 23300])).
% 34.71/23.31 tff(23306,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23307,plain,
% 34.71/23.31 (((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0))) <=> (v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23308,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0))))),
% 34.71/23.31 inference(monotonicity,[status(thm)],[23307])).
% 34.71/23.31 tff(23309,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 34.71/23.31 inference(transitivity,[status(thm)],[23308, 23306])).
% 34.71/23.31 tff(23310,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23311,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0))),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23310, 23309])).
% 34.71/23.31 tff(23312,plain,
% 34.71/23.31 (v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0))),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23311, 455, 23265])).
% 34.71/23.31 tff(23313,plain,
% 34.71/23.31 (v90(constB154, bitIndex0) | (~v90(constB155, bitIndex0))),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23312, 23277])).
% 34.71/23.31 tff(23314,plain,
% 34.71/23.31 (v90(constB154, bitIndex0)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23313, 23287])).
% 34.71/23.31 tff(23315,plain,
% 34.71/23.31 (v100(constB154)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[22499, 22254, 23314])).
% 34.71/23.31 tff(23316,plain,
% 34.71/23.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23317,plain,
% 34.71/23.31 (((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1)) <=> ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23318,plain,
% 34.71/23.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154))))),
% 34.71/23.31 inference(monotonicity,[status(thm)],[23317])).
% 34.71/23.31 tff(23319,plain,
% 34.71/23.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 34.71/23.31 inference(transitivity,[status(thm)],[23318, 23316])).
% 34.71/23.31 tff(23320,plain,
% 34.71/23.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23321,plain,
% 34.71/23.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154))),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23320, 23319])).
% 34.71/23.31 tff(23322,plain,
% 34.71/23.31 ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23321, 814, 23315])).
% 34.71/23.31 tff(23323,plain,
% 34.71/23.31 (~v90(constB154, bitIndex1)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23322, 23305])).
% 34.71/23.31 tff(23324,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23325,plain,
% 34.71/23.31 (((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1))) <=> (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23326,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1))))),
% 34.71/23.31 inference(monotonicity,[status(thm)],[23325])).
% 34.71/23.31 tff(23327,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 34.71/23.31 inference(transitivity,[status(thm)],[23326, 23324])).
% 34.71/23.31 tff(23328,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23329,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1))),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23328, 23327])).
% 34.71/23.31 tff(23330,plain,
% 34.71/23.31 (v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1))),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23329, 434, 23265])).
% 34.71/23.31 tff(23331,plain,
% 34.71/23.31 (v90(constB154, bitIndex1) | (~v90(constB155, bitIndex1))),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23330, 23277])).
% 34.71/23.31 tff(23332,plain,
% 34.71/23.31 (~v90(constB155, bitIndex1)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23331, 23323])).
% 34.71/23.31 tff(23333,plain,
% 34.71/23.31 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23334,plain,
% 34.71/23.31 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23335,plain,
% 34.71/23.31 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2)),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23334, 23333])).
% 34.71/23.31 tff(23336,plain,
% 34.71/23.31 (v130(constB153, bitIndex2)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23335, 1850, 23288])).
% 34.71/23.31 tff(23337,plain,
% 34.71/23.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23338,plain,
% 34.71/23.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23339,plain,
% 34.71/23.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23338, 23337])).
% 34.71/23.31 tff(23340,plain,
% 34.71/23.31 ((~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23339, 1592, 22304])).
% 34.71/23.31 tff(23341,plain,
% 34.71/23.31 (v127(constB153, bitIndex2)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23340, 23336])).
% 34.71/23.31 tff(23342,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23343,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23344,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23343, 23342])).
% 34.71/23.31 tff(23345,plain,
% 34.71/23.31 ((~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23344, 1607, 22312])).
% 34.71/23.31 tff(23346,plain,
% 34.71/23.31 (v129(constB154, bitIndex2)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23345, 23341])).
% 34.71/23.31 tff(23347,plain,
% 34.71/23.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23348,plain,
% 34.71/23.31 ((v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2))) <=> (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23349,plain,
% 34.71/23.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))))),
% 34.71/23.31 inference(monotonicity,[status(thm)],[23348])).
% 34.71/23.31 tff(23350,plain,
% 34.71/23.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 34.71/23.31 inference(transitivity,[status(thm)],[23349, 23347])).
% 34.71/23.31 tff(23351,plain,
% 34.71/23.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23352,plain,
% 34.71/23.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23351, 23350])).
% 34.71/23.31 tff(23353,plain,
% 34.71/23.31 (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2))),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23352, 1622, 23315])).
% 34.71/23.31 tff(23354,plain,
% 34.71/23.31 (v90(constB154, bitIndex2)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23353, 23346])).
% 34.71/23.31 tff(23355,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23356,plain,
% 34.71/23.31 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)) <=> ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23357,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2)))),
% 34.71/23.31 inference(monotonicity,[status(thm)],[23356])).
% 34.71/23.31 tff(23358,plain,
% 34.71/23.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 34.71/23.31 inference(transitivity,[status(thm)],[23357, 23355])).
% 34.71/23.31 tff(23359,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23360,plain,
% 34.71/23.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2)),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23359, 23358])).
% 34.71/23.31 tff(23361,plain,
% 34.71/23.31 ((~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23360, 1658, 23265])).
% 34.71/23.31 tff(23362,plain,
% 34.71/23.31 ((~v90(constB154, bitIndex2)) | v90(constB155, bitIndex2)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23361, 23277])).
% 34.71/23.31 tff(23363,plain,
% 34.71/23.31 (v90(constB155, bitIndex2)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23362, 23354])).
% 34.71/23.31 tff(23364,assumption,(~v124(constB155)), introduced(assumption)).
% 34.71/23.31 tff(23365,plain,
% 34.71/23.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23366,plain,
% 34.71/23.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23367,plain,
% 34.71/23.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155)),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23366, 23365])).
% 34.71/23.31 tff(23368,plain,
% 34.71/23.31 ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2))),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23367, 1994, 23364])).
% 34.71/23.31 tff(23369,plain,
% 34.71/23.31 ($false),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23368, 23363, 23332, 23287])).
% 34.71/23.31 tff(23370,plain,((~v122(constB151)) | (~v90(constB155, bitIndex0)) | v124(constB155)), inference(lemma,lemma(discharge,[]))).
% 34.71/23.31 tff(23371,plain,
% 34.71/23.31 (v124(constB155)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23370, 23286, 22087])).
% 34.71/23.31 tff(23372,plain,
% 34.71/23.31 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB155)) | v130(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB155)) | v130(constB155, bitIndex1))),
% 34.71/23.31 inference(rewrite,[status(thm)],[])).
% 34.71/23.31 tff(23373,plain,
% 34.71/23.31 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB155)) | v130(constB155, bitIndex1))),
% 34.71/23.31 inference(quant_inst,[status(thm)],[])).
% 34.71/23.31 tff(23374,plain,
% 34.71/23.31 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB155)) | v130(constB155, bitIndex1)),
% 34.71/23.31 inference(modus_ponens,[status(thm)],[23373, 23372])).
% 34.71/23.31 tff(23375,plain,
% 34.71/23.31 (v130(constB155, bitIndex1)),
% 34.71/23.31 inference(unit_resolution,[status(thm)],[23374, 2145, 23371])).
% 34.71/23.31 tff(23376,assumption,(v26(constB155)), introduced(assumption)).
% 34.71/23.31 tff(23377,plain,
% 34.71/23.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB155))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23378,plain,
% 34.71/23.32 ($false),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23377, 120, 23376])).
% 34.71/23.32 tff(23379,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 34.71/23.32 tff(23380,plain,
% 34.71/23.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23381,plain,
% 34.71/23.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23382,plain,
% 34.71/23.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1)),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23381, 23380])).
% 34.71/23.32 tff(23383,plain,
% 34.71/23.32 ((~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23382, 1101, 23379])).
% 34.71/23.32 tff(23384,plain,
% 34.71/23.32 (v127(constB155, bitIndex1)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23383, 23375])).
% 34.71/23.32 tff(23385,plain,
% 34.71/23.32 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23386,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 34.71/23.32 tff(23387,plain,
% 34.71/23.32 (nextState(constB155, constB156)),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23386, 23385])).
% 34.71/23.32 tff(23388,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23389,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23390,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1)),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23389, 23388])).
% 34.71/23.32 tff(23391,plain,
% 34.71/23.32 ((~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23390, 1116, 23387])).
% 34.71/23.32 tff(23392,plain,
% 34.71/23.32 (v129(constB156, bitIndex1)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23391, 23384])).
% 34.71/23.32 tff(23393,assumption,(v124(constB155)), introduced(assumption)).
% 34.71/23.32 tff(23394,plain,
% 34.71/23.32 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB155) | (~v124(constB155)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB155) | (~v124(constB155)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23395,plain,
% 34.71/23.32 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB155) | (~v124(constB155)))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23396,plain,
% 34.71/23.32 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB155) | (~v124(constB155))),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23395, 23394])).
% 34.71/23.32 tff(23397,plain,
% 34.71/23.32 (v114(constB155)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23396, 2005, 23393])).
% 34.71/23.32 tff(23398,plain,
% 34.71/23.32 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB155) | (~v114(constB155)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB155) | (~v114(constB155)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23399,plain,
% 34.71/23.32 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB155) | (~v114(constB155)))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23400,plain,
% 34.71/23.32 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB155) | (~v114(constB155))),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23399, 23398])).
% 34.71/23.32 tff(23401,plain,
% 34.71/23.32 (v113(constB155)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23400, 542, 23397])).
% 34.71/23.32 tff(23402,plain,
% 34.71/23.32 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB155)) | (~v130(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB155)) | (~v130(constB155, bitIndex0)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23403,plain,
% 34.71/23.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB155)) | (~v130(constB155, bitIndex0)))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23404,plain,
% 34.71/23.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB155)) | (~v130(constB155, bitIndex0))),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23403, 23402])).
% 34.71/23.32 tff(23405,plain,
% 34.71/23.32 (~v130(constB155, bitIndex0)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23404, 2277, 23393])).
% 34.71/23.32 tff(23406,plain,
% 34.71/23.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23407,plain,
% 34.71/23.32 ((v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0))) <=> ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23408,plain,
% 34.71/23.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0)))),
% 34.71/23.32 inference(monotonicity,[status(thm)],[23407])).
% 34.71/23.32 tff(23409,plain,
% 34.71/23.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 34.71/23.32 inference(transitivity,[status(thm)],[23408, 23406])).
% 34.71/23.32 tff(23410,plain,
% 34.71/23.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23411,plain,
% 34.71/23.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0)),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23410, 23409])).
% 34.71/23.32 tff(23412,plain,
% 34.71/23.32 ((~v127(constB155, bitIndex0)) | v130(constB155, bitIndex0)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23411, 1182, 23379])).
% 34.71/23.32 tff(23413,plain,
% 34.71/23.32 (~v127(constB155, bitIndex0)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23412, 23405])).
% 34.71/23.32 tff(23414,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23415,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23416,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0))),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23415, 23414])).
% 34.71/23.32 tff(23417,plain,
% 34.71/23.32 (v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0))),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23416, 1200, 23387])).
% 34.71/23.32 tff(23418,plain,
% 34.71/23.32 (~v129(constB156, bitIndex0)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23417, 23413])).
% 34.71/23.32 tff(23419,assumption,(v90(constB156, bitIndex0)), introduced(assumption)).
% 34.71/23.32 tff(23420,plain,
% 34.71/23.32 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23421,plain,
% 34.71/23.32 (((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0)) <=> ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23422,plain,
% 34.71/23.32 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156))))),
% 34.71/23.32 inference(monotonicity,[status(thm)],[23421])).
% 34.71/23.32 tff(23423,plain,
% 34.71/23.32 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 34.71/23.32 inference(transitivity,[status(thm)],[23422, 23420])).
% 34.71/23.32 tff(23424,plain,
% 34.71/23.32 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23425,plain,
% 34.71/23.32 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156))),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23424, 23423])).
% 34.71/23.32 tff(23426,plain,
% 34.71/23.32 (v129(constB156, bitIndex0) | (~v100(constB156))),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23425, 1215, 23419])).
% 34.71/23.32 tff(23427,plain,
% 34.71/23.32 (~v100(constB156)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23426, 23418])).
% 34.71/23.32 tff(23428,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23429,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23430,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156))),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23429, 23428])).
% 34.71/23.32 tff(23431,plain,
% 34.71/23.32 (~v104(constB156)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23430, 603, 23387, 23262])).
% 34.71/23.32 tff(23432,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23433,plain,
% 34.71/23.32 (((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156)) <=> ((~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23434,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | v102(constB156)))),
% 34.71/23.32 inference(monotonicity,[status(thm)],[23433])).
% 34.71/23.32 tff(23435,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))),
% 34.71/23.32 inference(transitivity,[status(thm)],[23434, 23432])).
% 34.71/23.32 tff(23436,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23437,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | v102(constB156)),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23436, 23435])).
% 34.71/23.32 tff(23438,plain,
% 34.71/23.32 (v104(constB156) | v102(constB156)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23437, 617, 23387])).
% 34.71/23.32 tff(23439,plain,
% 34.71/23.32 (v102(constB156)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23438, 23431])).
% 34.71/23.32 tff(23440,plain,
% 34.71/23.32 (v1(constB156) <=> v1(constB156)),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23441,axiom,(v1(constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 34.71/23.32 tff(23442,plain,
% 34.71/23.32 (v1(constB156)),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23441, 23440])).
% 34.71/23.32 tff(23443,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23444,plain,
% 34.71/23.32 (((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156))) <=> ((~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23445,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156))))),
% 34.71/23.32 inference(monotonicity,[status(thm)],[23444])).
% 34.71/23.32 tff(23446,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))),
% 34.71/23.32 inference(transitivity,[status(thm)],[23445, 23443])).
% 34.71/23.32 tff(23447,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23448,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156))),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23447, 23446])).
% 34.71/23.32 tff(23449,plain,
% 34.71/23.32 (v101(constB156) | (~v102(constB156))),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23448, 638, 23387, 23442])).
% 34.71/23.32 tff(23450,plain,
% 34.71/23.32 (v101(constB156)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23449, 23439])).
% 34.71/23.32 tff(23451,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23452,plain,
% 34.71/23.32 (((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156)) <=> ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23453,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))))),
% 34.71/23.32 inference(monotonicity,[status(thm)],[23452])).
% 34.71/23.32 tff(23454,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 34.71/23.32 inference(transitivity,[status(thm)],[23453, 23451])).
% 34.71/23.32 tff(23455,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23456,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23455, 23454])).
% 34.71/23.32 tff(23457,plain,
% 34.71/23.32 (v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23456, 656, 23387])).
% 34.71/23.32 tff(23458,plain,
% 34.71/23.32 (v100(constB156) | (~v110(constB156))),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23457, 23450])).
% 34.71/23.32 tff(23459,plain,
% 34.71/23.32 (~v110(constB156)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23458, 23427])).
% 34.71/23.32 tff(23460,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23461,plain,
% 34.71/23.32 (((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156)) <=> ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23462,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))))),
% 34.71/23.32 inference(monotonicity,[status(thm)],[23461])).
% 34.71/23.32 tff(23463,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 34.71/23.32 inference(transitivity,[status(thm)],[23462, 23460])).
% 34.71/23.32 tff(23464,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23465,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23464, 23463])).
% 34.71/23.32 tff(23466,plain,
% 34.71/23.32 (v110(constB156) | (~v108(constB155))),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23465, 585, 23387])).
% 34.71/23.32 tff(23467,plain,
% 34.71/23.32 (~v108(constB155)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23466, 23459])).
% 34.71/23.32 tff(23468,plain,
% 34.71/23.32 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB155) | (~v112(constB155)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB155) | (~v112(constB155)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23469,plain,
% 34.71/23.32 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB155) | (~v112(constB155)))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23470,plain,
% 34.71/23.32 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB155) | (~v112(constB155))),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23469, 23468])).
% 34.71/23.32 tff(23471,plain,
% 34.71/23.32 (~v112(constB155)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23470, 568, 23467])).
% 34.71/23.32 tff(23472,plain,
% 34.71/23.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23473,plain,
% 34.71/23.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23474,plain,
% 34.71/23.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155)),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23473, 23472])).
% 34.71/23.32 tff(23475,plain,
% 34.71/23.32 ((~v113(constB155)) | v112(constB155)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23474, 556, 23379])).
% 34.71/23.32 tff(23476,plain,
% 34.71/23.32 ($false),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23475, 23471, 23401])).
% 34.71/23.32 tff(23477,plain,((~v124(constB155)) | (~v90(constB156, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.71/23.32 tff(23478,plain,
% 34.71/23.32 (~v90(constB156, bitIndex0)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23477, 23371])).
% 34.71/23.32 tff(23479,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB155, bitIndex0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB155, bitIndex0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex0))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23480,plain,
% 34.71/23.32 (((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex0)) | v100(constB156) | v90(constB156, bitIndex0)) <=> ((~v90(constB155, bitIndex0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex0))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23481,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex0)) | v100(constB156) | v90(constB156, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB155, bitIndex0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex0)))),
% 34.71/23.32 inference(monotonicity,[status(thm)],[23480])).
% 34.71/23.32 tff(23482,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex0)) | v100(constB156) | v90(constB156, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB155, bitIndex0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex0))),
% 34.71/23.32 inference(transitivity,[status(thm)],[23481, 23479])).
% 34.71/23.32 tff(23483,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex0)) | v100(constB156) | v90(constB156, bitIndex0))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23484,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB155, bitIndex0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex0)),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23483, 23482])).
% 34.71/23.32 tff(23485,plain,
% 34.71/23.32 ((~v90(constB155, bitIndex0)) | v100(constB156) | v90(constB156, bitIndex0)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23484, 903, 23387])).
% 34.71/23.32 tff(23486,plain,
% 34.71/23.32 (v100(constB156)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23485, 23478, 23286])).
% 34.71/23.32 tff(23487,plain,
% 34.71/23.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23488,plain,
% 34.71/23.32 ((v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1))) <=> (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23489,plain,
% 34.71/23.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156))))),
% 34.71/23.32 inference(monotonicity,[status(thm)],[23488])).
% 34.71/23.32 tff(23490,plain,
% 34.71/23.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 34.71/23.32 inference(transitivity,[status(thm)],[23489, 23487])).
% 34.71/23.32 tff(23491,plain,
% 34.71/23.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23492,plain,
% 34.71/23.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156))),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23491, 23490])).
% 34.71/23.32 tff(23493,plain,
% 34.71/23.32 (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1))),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23492, 1131, 23486])).
% 34.71/23.32 tff(23494,plain,
% 34.71/23.32 (v90(constB156, bitIndex1)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23493, 23392])).
% 34.71/23.32 tff(23495,plain,
% 34.71/23.32 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23496,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 34.71/23.32 tff(23497,plain,
% 34.71/23.32 (nextState(constB156, constB157)),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23496, 23495])).
% 34.71/23.32 tff(23498,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23499,plain,
% 34.71/23.32 (((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 34.71/23.32 inference(rewrite,[status(thm)],[])).
% 34.71/23.32 tff(23500,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))))),
% 34.71/23.32 inference(monotonicity,[status(thm)],[23499])).
% 34.71/23.32 tff(23501,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 34.71/23.32 inference(transitivity,[status(thm)],[23500, 23498])).
% 34.71/23.32 tff(23502,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))),
% 34.71/23.32 inference(quant_inst,[status(thm)],[])).
% 34.71/23.32 tff(23503,plain,
% 34.71/23.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))),
% 34.71/23.32 inference(modus_ponens,[status(thm)],[23502, 23501])).
% 34.71/23.32 tff(23504,plain,
% 34.71/23.32 (~v101(constB157)),
% 34.71/23.32 inference(unit_resolution,[status(thm)],[23503, 381, 23497, 75])).
% 34.71/23.32 tff(23505,plain,
% 34.71/23.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23506,plain,
% 34.71/23.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 34.71/23.33 inference(quant_inst,[status(thm)],[])).
% 34.71/23.33 tff(23507,plain,
% 34.71/23.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23506, 23505])).
% 34.71/23.33 tff(23508,plain,
% 34.71/23.33 (v101(constB157) | (~v100(constB157))),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23507, 398, 23497])).
% 34.71/23.33 tff(23509,plain,
% 34.71/23.33 (~v100(constB157)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23508, 23504])).
% 34.71/23.33 tff(23510,plain,
% 34.71/23.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23511,plain,
% 34.71/23.33 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1)) <=> ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23512,plain,
% 34.71/23.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1)))),
% 34.71/23.33 inference(monotonicity,[status(thm)],[23511])).
% 34.71/23.33 tff(23513,plain,
% 34.71/23.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 34.71/23.33 inference(transitivity,[status(thm)],[23512, 23510])).
% 34.71/23.33 tff(23514,plain,
% 34.71/23.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))),
% 34.71/23.33 inference(quant_inst,[status(thm)],[])).
% 34.71/23.33 tff(23515,plain,
% 34.71/23.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1)),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23514, 23513])).
% 34.71/23.33 tff(23516,plain,
% 34.71/23.33 ((~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23515, 1149, 23497])).
% 34.71/23.33 tff(23517,plain,
% 34.71/23.33 ((~v90(constB156, bitIndex1)) | v90(constB157, bitIndex1)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23516, 23509])).
% 34.71/23.33 tff(23518,plain,
% 34.71/23.33 (v90(constB157, bitIndex1)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23517, 23494])).
% 34.71/23.33 tff(23519,plain,
% 34.71/23.33 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)))),
% 34.71/23.33 inference(bind,[status(th)],[])).
% 34.71/23.33 tff(23520,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 34.71/23.33 inference(quant_intro,[status(thm)],[23519])).
% 34.71/23.33 tff(23521,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23522,plain,
% 34.71/23.33 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)))),
% 34.71/23.33 inference(bind,[status(th)],[])).
% 34.71/23.33 tff(23523,plain,
% 34.71/23.33 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 34.71/23.33 inference(quant_intro,[status(thm)],[23522])).
% 34.71/23.33 tff(23524,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_3')).
% 34.71/23.33 tff(23525,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23524, 23523])).
% 34.71/23.33 tff(23526,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23525, 23521])).
% 34.71/23.33 tff(23527,plain,(
% 34.71/23.33 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 34.71/23.33 inference(skolemize,[status(sab)],[23526])).
% 34.71/23.33 tff(23528,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23527, 23520])).
% 34.71/23.33 tff(23529,plain,
% 34.71/23.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB157, bitIndex1)) | v88(constB157, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB157, bitIndex1)) | v88(constB157, bitIndex1))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23530,plain,
% 34.71/23.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB157, bitIndex1)) | v88(constB157, bitIndex1))),
% 34.71/23.33 inference(quant_inst,[status(thm)],[])).
% 34.71/23.33 tff(23531,plain,
% 34.71/23.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB157, bitIndex1)) | v88(constB157, bitIndex1)),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23530, 23529])).
% 34.71/23.33 tff(23532,plain,
% 34.71/23.33 (v88(constB157, bitIndex1)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23531, 23528, 23518])).
% 34.71/23.33 tff(23533,plain,
% 34.71/23.33 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB155)) | v130(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB155)) | v130(constB155, bitIndex2))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23534,plain,
% 34.71/23.33 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB155)) | v130(constB155, bitIndex2))),
% 34.71/23.33 inference(quant_inst,[status(thm)],[])).
% 34.71/23.33 tff(23535,plain,
% 34.71/23.33 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB155)) | v130(constB155, bitIndex2)),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23534, 23533])).
% 34.71/23.33 tff(23536,plain,
% 34.71/23.33 (v130(constB155, bitIndex2)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23535, 2075, 23371])).
% 34.71/23.33 tff(23537,plain,
% 34.71/23.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23538,plain,
% 34.71/23.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))),
% 34.71/23.33 inference(quant_inst,[status(thm)],[])).
% 34.71/23.33 tff(23539,plain,
% 34.71/23.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2)),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23538, 23537])).
% 34.71/23.33 tff(23540,plain,
% 34.71/23.33 ((~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23539, 1592, 23379])).
% 34.71/23.33 tff(23541,plain,
% 34.71/23.33 (v127(constB155, bitIndex2)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23540, 23536])).
% 34.71/23.33 tff(23542,plain,
% 34.71/23.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23543,plain,
% 34.71/23.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))),
% 34.71/23.33 inference(quant_inst,[status(thm)],[])).
% 34.71/23.33 tff(23544,plain,
% 34.71/23.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2)),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23543, 23542])).
% 34.71/23.33 tff(23545,plain,
% 34.71/23.33 ((~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23544, 1607, 23387])).
% 34.71/23.33 tff(23546,plain,
% 34.71/23.33 (v129(constB156, bitIndex2)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23545, 23541])).
% 34.71/23.33 tff(23547,plain,
% 34.71/23.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23548,plain,
% 34.71/23.33 ((v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2))) <=> (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23549,plain,
% 34.71/23.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156))))),
% 34.71/23.33 inference(monotonicity,[status(thm)],[23548])).
% 34.71/23.33 tff(23550,plain,
% 34.71/23.33 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 34.71/23.33 inference(transitivity,[status(thm)],[23549, 23547])).
% 34.71/23.33 tff(23551,plain,
% 34.71/23.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))),
% 34.71/23.33 inference(quant_inst,[status(thm)],[])).
% 34.71/23.33 tff(23552,plain,
% 34.71/23.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23551, 23550])).
% 34.71/23.33 tff(23553,plain,
% 34.71/23.33 (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2))),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23552, 1622, 23486])).
% 34.71/23.33 tff(23554,plain,
% 34.71/23.33 (v90(constB156, bitIndex2)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23553, 23546])).
% 34.71/23.33 tff(23555,plain,
% 34.71/23.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23556,plain,
% 34.71/23.33 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2)) <=> ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23557,plain,
% 34.71/23.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2)))),
% 34.71/23.33 inference(monotonicity,[status(thm)],[23556])).
% 34.71/23.33 tff(23558,plain,
% 34.71/23.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 34.71/23.33 inference(transitivity,[status(thm)],[23557, 23555])).
% 34.71/23.33 tff(23559,plain,
% 34.71/23.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))),
% 34.71/23.33 inference(quant_inst,[status(thm)],[])).
% 34.71/23.33 tff(23560,plain,
% 34.71/23.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2)),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23559, 23558])).
% 34.71/23.33 tff(23561,plain,
% 34.71/23.33 ((~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23560, 1658, 23497])).
% 34.71/23.33 tff(23562,plain,
% 34.71/23.33 ((~v90(constB156, bitIndex2)) | v90(constB157, bitIndex2)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23561, 23509])).
% 34.71/23.33 tff(23563,plain,
% 34.71/23.33 (v90(constB157, bitIndex2)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23562, 23554])).
% 34.71/23.33 tff(23564,plain,
% 34.71/23.33 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)))),
% 34.71/23.33 inference(bind,[status(th)],[])).
% 34.71/23.33 tff(23565,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 34.71/23.33 inference(quant_intro,[status(thm)],[23564])).
% 34.71/23.33 tff(23566,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23567,plain,
% 34.71/23.33 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)))),
% 34.71/23.33 inference(bind,[status(th)],[])).
% 34.71/23.33 tff(23568,plain,
% 34.71/23.33 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 34.71/23.33 inference(quant_intro,[status(thm)],[23567])).
% 34.71/23.33 tff(23569,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_5')).
% 34.71/23.33 tff(23570,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23569, 23568])).
% 34.71/23.33 tff(23571,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23570, 23566])).
% 34.71/23.33 tff(23572,plain,(
% 34.71/23.33 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 34.71/23.33 inference(skolemize,[status(sab)],[23571])).
% 34.71/23.33 tff(23573,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23572, 23565])).
% 34.71/23.33 tff(23574,plain,
% 34.71/23.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex2)) | v88(constB157, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB157, bitIndex2)) | v88(constB157, bitIndex2))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23575,plain,
% 34.71/23.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex2)) | v88(constB157, bitIndex2))),
% 34.71/23.33 inference(quant_inst,[status(thm)],[])).
% 34.71/23.33 tff(23576,plain,
% 34.71/23.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB157, bitIndex2)) | v88(constB157, bitIndex2)),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23575, 23574])).
% 34.71/23.33 tff(23577,plain,
% 34.71/23.33 (v88(constB157, bitIndex2)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23576, 23573, 23563])).
% 34.71/23.33 tff(23578,plain,
% 34.71/23.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23579,plain,
% 34.71/23.33 (((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0))) <=> (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23580,plain,
% 34.71/23.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0))))),
% 34.71/23.33 inference(monotonicity,[status(thm)],[23579])).
% 34.71/23.33 tff(23581,plain,
% 34.71/23.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 34.71/23.33 inference(transitivity,[status(thm)],[23580, 23578])).
% 34.71/23.33 tff(23582,plain,
% 34.71/23.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 34.71/23.33 inference(quant_inst,[status(thm)],[])).
% 34.71/23.33 tff(23583,plain,
% 34.71/23.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23582, 23581])).
% 34.71/23.33 tff(23584,plain,
% 34.71/23.33 (v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0))),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23583, 455, 23497])).
% 34.71/23.33 tff(23585,plain,
% 34.71/23.33 (v90(constB156, bitIndex0) | (~v90(constB157, bitIndex0))),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23584, 23509])).
% 34.71/23.33 tff(23586,plain,
% 34.71/23.33 (~v90(constB157, bitIndex0)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23585, 23478])).
% 34.71/23.33 tff(23587,plain,
% 34.71/23.33 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))))),
% 34.71/23.33 inference(bind,[status(th)],[])).
% 34.71/23.33 tff(23588,plain,
% 34.71/23.33 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 34.71/23.33 inference(quant_intro,[status(thm)],[23587])).
% 34.71/23.33 tff(23589,plain,
% 34.71/23.33 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23590,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 34.71/23.33 tff(23591,plain,
% 34.71/23.33 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23590, 23589])).
% 34.71/23.33 tff(23592,plain,(
% 34.71/23.33 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 34.71/23.33 inference(skolemize,[status(sab)],[23591])).
% 34.71/23.33 tff(23593,plain,
% 34.71/23.33 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23592, 23588])).
% 34.71/23.33 tff(23594,plain,
% 34.71/23.33 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB157, bitIndex0) | (~v88(constB157, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB157, bitIndex0) | (~v88(constB157, bitIndex0)))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23595,plain,
% 34.71/23.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB157, bitIndex0) | (~v88(constB157, bitIndex0)))),
% 34.71/23.33 inference(quant_inst,[status(thm)],[])).
% 34.71/23.33 tff(23596,plain,
% 34.71/23.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB157, bitIndex0) | (~v88(constB157, bitIndex0))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23595, 23594])).
% 34.71/23.33 tff(23597,plain,
% 34.71/23.33 (~v88(constB157, bitIndex0)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23596, 23593, 23586])).
% 34.71/23.33 tff(23598,plain,
% 34.71/23.33 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)))),
% 34.71/23.33 inference(bind,[status(th)],[])).
% 34.71/23.33 tff(23599,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 34.71/23.33 inference(quant_intro,[status(thm)],[23598])).
% 34.71/23.33 tff(23600,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23601,plain,
% 34.71/23.33 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v144(VarCurr))), ((((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0)) <=> (((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v144(VarCurr)) | v88(VarCurr, bitIndex0)))), rewrite((((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v144(VarCurr)) | v88(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))), ((((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))))),
% 34.71/23.33 inference(bind,[status(th)],[])).
% 34.71/23.33 tff(23602,plain,
% 34.71/23.33 (![VarCurr: $i] : (((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 34.71/23.33 inference(quant_intro,[status(thm)],[23601])).
% 34.71/23.33 tff(23603,axiom,(![VarCurr: $i] : (((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_1')).
% 34.71/23.33 tff(23604,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23603, 23602])).
% 34.71/23.33 tff(23605,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23604, 23600])).
% 34.71/23.33 tff(23606,plain,(
% 34.71/23.33 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 34.71/23.33 inference(skolemize,[status(sab)],[23605])).
% 34.71/23.33 tff(23607,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23606, 23599])).
% 34.71/23.33 tff(23608,plain,
% 34.71/23.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0) | v144(constB157))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0) | v144(constB157))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23609,plain,
% 34.71/23.33 (((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157)) <=> ((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0) | v144(constB157))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23610,plain,
% 34.71/23.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0) | v144(constB157)))),
% 34.71/23.33 inference(monotonicity,[status(thm)],[23609])).
% 34.71/23.33 tff(23611,plain,
% 34.71/23.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0) | v144(constB157))),
% 34.71/23.33 inference(transitivity,[status(thm)],[23610, 23608])).
% 34.71/23.33 tff(23612,plain,
% 34.71/23.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157))),
% 34.71/23.33 inference(quant_inst,[status(thm)],[])).
% 34.71/23.33 tff(23613,plain,
% 34.71/23.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0) | v144(constB157)),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23612, 23611])).
% 34.71/23.33 tff(23614,plain,
% 34.71/23.33 ((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v144(constB157)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23613, 23607, 23597])).
% 34.71/23.33 tff(23615,plain,
% 34.71/23.33 (v144(constB157)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23614, 23577, 23532])).
% 34.71/23.33 tff(23616,plain,
% 34.71/23.33 (^[VarCurr: $i] : refl((v142(VarCurr) | (~v144(VarCurr))) <=> (v142(VarCurr) | (~v144(VarCurr))))),
% 34.71/23.33 inference(bind,[status(th)],[])).
% 34.71/23.33 tff(23617,plain,
% 34.71/23.33 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 34.71/23.33 inference(quant_intro,[status(thm)],[23616])).
% 34.71/23.33 tff(23618,plain,
% 34.71/23.33 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23619,axiom,(![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1')).
% 34.71/23.33 tff(23620,plain,
% 34.71/23.33 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23619, 23618])).
% 34.71/23.33 tff(23621,plain,(
% 34.71/23.33 ![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 34.71/23.33 inference(skolemize,[status(sab)],[23620])).
% 34.71/23.33 tff(23622,plain,
% 34.71/23.33 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23621, 23617])).
% 34.71/23.33 tff(23623,plain,
% 34.71/23.33 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB157) | (~v144(constB157)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB157) | (~v144(constB157)))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23624,plain,
% 34.71/23.33 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB157) | (~v144(constB157)))),
% 34.71/23.33 inference(quant_inst,[status(thm)],[])).
% 34.71/23.33 tff(23625,plain,
% 34.71/23.33 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB157) | (~v144(constB157))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23624, 23623])).
% 34.71/23.33 tff(23626,plain,
% 34.71/23.33 (v142(constB157)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23625, 23622, 23615])).
% 34.71/23.33 tff(23627,plain,
% 34.71/23.33 (^[VarCurr: $i] : refl((v167(VarCurr) | (~v142(VarCurr))) <=> (v167(VarCurr) | (~v142(VarCurr))))),
% 34.71/23.33 inference(bind,[status(th)],[])).
% 34.71/23.33 tff(23628,plain,
% 34.71/23.33 (![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))),
% 34.71/23.33 inference(quant_intro,[status(thm)],[23627])).
% 34.71/23.33 tff(23629,plain,
% 34.71/23.33 (![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23630,axiom,(![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_2')).
% 34.71/23.33 tff(23631,plain,
% 34.71/23.33 (![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23630, 23629])).
% 34.71/23.33 tff(23632,plain,(
% 34.71/23.33 ![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))),
% 34.71/23.33 inference(skolemize,[status(sab)],[23631])).
% 34.71/23.33 tff(23633,plain,
% 34.71/23.33 (![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23632, 23628])).
% 34.71/23.33 tff(23634,plain,
% 34.71/23.33 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB157) | (~v142(constB157)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB157) | (~v142(constB157)))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23635,plain,
% 34.71/23.33 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB157) | (~v142(constB157)))),
% 34.71/23.33 inference(quant_inst,[status(thm)],[])).
% 34.71/23.33 tff(23636,plain,
% 34.71/23.33 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB157) | (~v142(constB157))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23635, 23634])).
% 34.71/23.33 tff(23637,plain,
% 34.71/23.33 (v167(constB157)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23636, 23633, 23626])).
% 34.71/23.33 tff(23638,plain,
% 34.71/23.33 (^[VarCurr: $i] : refl(((~v167(VarCurr)) | (~v170(VarCurr))) <=> ((~v167(VarCurr)) | (~v170(VarCurr))))),
% 34.71/23.33 inference(bind,[status(th)],[])).
% 34.71/23.33 tff(23639,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 34.71/23.33 inference(quant_intro,[status(thm)],[23638])).
% 34.71/23.33 tff(23640,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23641,plain,
% 34.71/23.33 (^[VarCurr: $i] : rewrite(((~v170(VarCurr)) | (~v167(VarCurr))) <=> ((~v167(VarCurr)) | (~v170(VarCurr))))),
% 34.71/23.33 inference(bind,[status(th)],[])).
% 34.71/23.33 tff(23642,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v170(VarCurr)) | (~v167(VarCurr))) <=> ![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 34.71/23.33 inference(quant_intro,[status(thm)],[23641])).
% 34.71/23.33 tff(23643,axiom,(![VarCurr: $i] : ((~v170(VarCurr)) | (~v167(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3_1_1_1')).
% 34.71/23.33 tff(23644,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23643, 23642])).
% 34.71/23.33 tff(23645,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23644, 23640])).
% 34.71/23.33 tff(23646,plain,(
% 34.71/23.33 ![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 34.71/23.33 inference(skolemize,[status(sab)],[23645])).
% 34.71/23.33 tff(23647,plain,
% 34.71/23.33 (![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23646, 23639])).
% 34.71/23.33 tff(23648,plain,
% 34.71/23.33 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB157)) | (~v170(constB157)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB157)) | (~v170(constB157)))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23649,plain,
% 34.71/23.33 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB157)) | (~v170(constB157)))),
% 34.71/23.33 inference(quant_inst,[status(thm)],[])).
% 34.71/23.33 tff(23650,plain,
% 34.71/23.33 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB157)) | (~v170(constB157))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23649, 23648])).
% 34.71/23.33 tff(23651,plain,
% 34.71/23.33 (~v170(constB157)),
% 34.71/23.33 inference(unit_resolution,[status(thm)],[23650, 23647, 23637])).
% 34.71/23.33 tff(23652,plain,
% 34.71/23.33 (^[VarCurr: $i] : refl((v166(VarCurr) | (~v167(VarCurr))) <=> (v166(VarCurr) | (~v167(VarCurr))))),
% 34.71/23.33 inference(bind,[status(th)],[])).
% 34.71/23.33 tff(23653,plain,
% 34.71/23.33 (![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))),
% 34.71/23.33 inference(quant_intro,[status(thm)],[23652])).
% 34.71/23.33 tff(23654,plain,
% 34.71/23.33 (![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23655,axiom,(![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_1')).
% 34.71/23.33 tff(23656,plain,
% 34.71/23.33 (![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23655, 23654])).
% 34.71/23.33 tff(23657,plain,(
% 34.71/23.33 ![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))),
% 34.71/23.33 inference(skolemize,[status(sab)],[23656])).
% 34.71/23.33 tff(23658,plain,
% 34.71/23.33 (![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))),
% 34.71/23.33 inference(modus_ponens,[status(thm)],[23657, 23653])).
% 34.71/23.33 tff(23659,plain,
% 34.71/23.33 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB157) | (~v167(constB157)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB157) | (~v167(constB157)))),
% 34.71/23.33 inference(rewrite,[status(thm)],[])).
% 34.71/23.33 tff(23660,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB157) | (~v167(constB157)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23661,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB157) | (~v167(constB157))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23660, 23659])).
% 34.71/23.34 tff(23662,plain,
% 34.71/23.34 (v166(constB157)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23661, 23658, 23637])).
% 34.71/23.34 tff(23663,plain,
% 34.71/23.34 (^[VarNext: $i] : refl(((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))) <=> ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23664,plain,
% 34.71/23.34 (![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))) <=> ![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23663])).
% 34.71/23.34 tff(23665,plain,
% 34.71/23.34 (![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))) <=> ![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23666,plain,
% 34.71/23.34 (^[VarNext: $i] : rewrite(((v170(VarNext) | (~v163(VarNext))) | (~v166(VarNext))) <=> ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23667,plain,
% 34.71/23.34 (![VarNext: $i] : ((v170(VarNext) | (~v163(VarNext))) | (~v166(VarNext))) <=> ![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23666])).
% 34.71/23.34 tff(23668,axiom,(![VarNext: $i] : ((v170(VarNext) | (~v163(VarNext))) | (~v166(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_2')).
% 34.71/23.34 tff(23669,plain,
% 34.71/23.34 (![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23668, 23667])).
% 34.71/23.34 tff(23670,plain,
% 34.71/23.34 (![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23669, 23665])).
% 34.71/23.34 tff(23671,plain,(
% 34.71/23.34 ![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 34.71/23.34 inference(skolemize,[status(sab)],[23670])).
% 34.71/23.34 tff(23672,plain,
% 34.71/23.34 (![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23671, 23664])).
% 34.71/23.34 tff(23673,plain,
% 34.71/23.34 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB157)) | v170(constB157) | (~v166(constB157)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB157)) | v170(constB157) | (~v166(constB157)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23674,plain,
% 34.71/23.34 (((~v166(constB157)) | v170(constB157) | (~v163(constB157))) <=> ((~v163(constB157)) | v170(constB157) | (~v166(constB157)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23675,plain,
% 34.71/23.34 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB157)) | v170(constB157) | (~v163(constB157)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB157)) | v170(constB157) | (~v166(constB157))))),
% 34.71/23.34 inference(monotonicity,[status(thm)],[23674])).
% 34.71/23.34 tff(23676,plain,
% 34.71/23.34 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB157)) | v170(constB157) | (~v163(constB157)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB157)) | v170(constB157) | (~v166(constB157)))),
% 34.71/23.34 inference(transitivity,[status(thm)],[23675, 23673])).
% 34.71/23.34 tff(23677,plain,
% 34.71/23.34 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB157)) | v170(constB157) | (~v163(constB157)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23678,plain,
% 34.71/23.34 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB157)) | v170(constB157) | (~v166(constB157))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23677, 23676])).
% 34.71/23.34 tff(23679,plain,
% 34.71/23.34 (~v163(constB157)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23678, 23672, 23662, 23651])).
% 34.71/23.34 tff(23680,plain,
% 34.71/23.34 (^[VarCurr: $i] : refl((v163(VarCurr) | (~v201(VarCurr))) <=> (v163(VarCurr) | (~v201(VarCurr))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23681,plain,
% 34.71/23.34 (![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23680])).
% 34.71/23.34 tff(23682,plain,
% 34.71/23.34 (![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23683,axiom,(![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47_1_1_3')).
% 34.71/23.34 tff(23684,plain,
% 34.71/23.34 (![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23683, 23682])).
% 34.71/23.34 tff(23685,plain,(
% 34.71/23.34 ![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))),
% 34.71/23.34 inference(skolemize,[status(sab)],[23684])).
% 34.71/23.34 tff(23686,plain,
% 34.71/23.34 (![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23685, 23681])).
% 34.71/23.34 tff(23687,plain,
% 34.71/23.34 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB157) | (~v201(constB157)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB157) | (~v201(constB157)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23688,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB157) | (~v201(constB157)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23689,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB157) | (~v201(constB157))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23688, 23687])).
% 34.71/23.34 tff(23690,plain,
% 34.71/23.34 (~v201(constB157)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23689, 23686, 23679])).
% 34.71/23.34 tff(23691,plain,
% 34.71/23.34 (^[VarCurr: $i] : refl((v201(VarCurr) | (~v200(VarCurr))) <=> (v201(VarCurr) | (~v200(VarCurr))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23692,plain,
% 34.71/23.34 (![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23691])).
% 34.71/23.34 tff(23693,plain,
% 34.71/23.34 (![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23694,axiom,(![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_2')).
% 34.71/23.34 tff(23695,plain,
% 34.71/23.34 (![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23694, 23693])).
% 34.71/23.34 tff(23696,plain,(
% 34.71/23.34 ![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))),
% 34.71/23.34 inference(skolemize,[status(sab)],[23695])).
% 34.71/23.34 tff(23697,plain,
% 34.71/23.34 (![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23696, 23692])).
% 34.71/23.34 tff(23698,plain,
% 34.71/23.34 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB157) | (~v200(constB157)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB157) | (~v200(constB157)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23699,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB157) | (~v200(constB157)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23700,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB157) | (~v200(constB157))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23699, 23698])).
% 34.71/23.34 tff(23701,plain,
% 34.71/23.34 (~v200(constB157)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23700, 23697, 23690])).
% 34.71/23.34 tff(23702,plain,
% 34.71/23.34 (^[VarCurr: $i] : refl((v200(VarCurr) | (~v198(VarCurr))) <=> (v200(VarCurr) | (~v198(VarCurr))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23703,plain,
% 34.71/23.34 (![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23702])).
% 34.71/23.34 tff(23704,plain,
% 34.71/23.34 (![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23705,axiom,(![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49_1_1_2')).
% 34.71/23.34 tff(23706,plain,
% 34.71/23.34 (![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23705, 23704])).
% 34.71/23.34 tff(23707,plain,(
% 34.71/23.34 ![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))),
% 34.71/23.34 inference(skolemize,[status(sab)],[23706])).
% 34.71/23.34 tff(23708,plain,
% 34.71/23.34 (![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23707, 23703])).
% 34.71/23.34 tff(23709,plain,
% 34.71/23.34 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB157) | (~v198(constB157)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB157) | (~v198(constB157)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23710,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB157) | (~v198(constB157)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23711,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB157) | (~v198(constB157))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23710, 23709])).
% 34.71/23.34 tff(23712,plain,
% 34.71/23.34 (~v198(constB157)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23711, 23708, 23701])).
% 34.71/23.34 tff(23713,plain,
% 34.71/23.34 (^[VarCurr: $i] : refl((v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))) <=> (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23714,plain,
% 34.71/23.34 (![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23713])).
% 34.71/23.34 tff(23715,plain,
% 34.71/23.34 (![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23716,plain,
% 34.71/23.34 (^[VarCurr: $i] : trans(monotonicity(rewrite((v198(VarCurr) | v194(VarCurr)) <=> (v194(VarCurr) | v198(VarCurr))), (((v198(VarCurr) | v194(VarCurr)) | (~v191(VarCurr))) <=> ((v194(VarCurr) | v198(VarCurr)) | (~v191(VarCurr))))), rewrite(((v194(VarCurr) | v198(VarCurr)) | (~v191(VarCurr))) <=> (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))), (((v198(VarCurr) | v194(VarCurr)) | (~v191(VarCurr))) <=> (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23717,plain,
% 34.71/23.34 (![VarCurr: $i] : ((v198(VarCurr) | v194(VarCurr)) | (~v191(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23716])).
% 34.71/23.34 tff(23718,axiom,(![VarCurr: $i] : ((v198(VarCurr) | v194(VarCurr)) | (~v191(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50_1_3')).
% 34.71/23.34 tff(23719,plain,
% 34.71/23.34 (![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23718, 23717])).
% 34.71/23.34 tff(23720,plain,
% 34.71/23.34 (![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23719, 23715])).
% 34.71/23.34 tff(23721,plain,(
% 34.71/23.34 ![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 34.71/23.34 inference(skolemize,[status(sab)],[23720])).
% 34.71/23.34 tff(23722,plain,
% 34.71/23.34 (![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23721, 23714])).
% 34.71/23.34 tff(23723,plain,
% 34.71/23.34 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB157) | v198(constB157) | (~v191(constB157)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB157) | v198(constB157) | (~v191(constB157)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23724,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB157) | v198(constB157) | (~v191(constB157)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23725,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB157) | v198(constB157) | (~v191(constB157))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23724, 23723])).
% 34.71/23.34 tff(23726,plain,
% 34.71/23.34 (v194(constB157) | (~v191(constB157))),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23725, 23722, 23712])).
% 34.71/23.34 tff(23727,plain,
% 34.71/23.34 (~v191(constB157)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23726, 112])).
% 34.71/23.34 tff(23728,plain,
% 34.71/23.34 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23729,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23728])).
% 34.71/23.34 tff(23730,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23731,plain,
% 34.71/23.34 (^[VarNext: $i, VarCurr: $i] : rewrite(((v191(VarCurr) | (~v193(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23732,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((v191(VarCurr) | (~v193(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23731])).
% 34.71/23.34 tff(23733,axiom,(![VarNext: $i, VarCurr: $i] : ((v191(VarCurr) | (~v193(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_12_1_2')).
% 34.71/23.34 tff(23734,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23733, 23732])).
% 34.71/23.34 tff(23735,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23734, 23730])).
% 34.71/23.34 tff(23736,plain,(
% 34.71/23.34 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 34.71/23.34 inference(skolemize,[status(sab)],[23735])).
% 34.71/23.34 tff(23737,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23736, 23729])).
% 34.71/23.34 tff(23738,plain,
% 34.71/23.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB157, constB158)) | v191(constB157) | (~v193(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB157, constB158)) | v191(constB157) | (~v193(constB158)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23739,plain,
% 34.71/23.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB157, constB158)) | v191(constB157) | (~v193(constB158)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23740,plain,
% 34.71/23.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB157, constB158)) | v191(constB157) | (~v193(constB158))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23739, 23738])).
% 34.71/23.34 tff(23741,plain,
% 34.71/23.34 (v191(constB157) | (~v193(constB158))),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23740, 23737, 57])).
% 34.71/23.34 tff(23742,plain,
% 34.71/23.34 (~v193(constB158)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23741, 23727])).
% 34.71/23.34 tff(23743,plain,
% 34.71/23.34 (^[VarCurr: $i] : refl((v193(VarCurr) | (~v194(VarCurr))) <=> (v193(VarCurr) | (~v194(VarCurr))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23744,plain,
% 34.71/23.34 (![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr))) <=> ![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23743])).
% 34.71/23.34 tff(23745,plain,
% 34.71/23.34 (![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr))) <=> ![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23746,axiom,(![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_2')).
% 34.71/23.34 tff(23747,plain,
% 34.71/23.34 (![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23746, 23745])).
% 34.71/23.34 tff(23748,plain,(
% 34.71/23.34 ![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))),
% 34.71/23.34 inference(skolemize,[status(sab)],[23747])).
% 34.71/23.34 tff(23749,plain,
% 34.71/23.34 (![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23748, 23744])).
% 34.71/23.34 tff(23750,plain,
% 34.71/23.34 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB158) | (~v194(constB158)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB158) | (~v194(constB158)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23751,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB158) | (~v194(constB158)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23752,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB158) | (~v194(constB158))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23751, 23750])).
% 34.71/23.34 tff(23753,plain,
% 34.71/23.34 (~v194(constB158)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23752, 23749, 23742])).
% 34.71/23.34 tff(23754,plain,
% 34.71/23.34 (^[VarCurr: $i] : refl(((~v1(VarCurr)) | (~v197(VarCurr))) <=> ((~v1(VarCurr)) | (~v197(VarCurr))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23755,plain,
% 34.71/23.34 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr))) <=> ![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23754])).
% 34.71/23.34 tff(23756,plain,
% 34.71/23.34 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr))) <=> ![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23757,axiom,(![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_2')).
% 34.71/23.34 tff(23758,plain,
% 34.71/23.34 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23757, 23756])).
% 34.71/23.34 tff(23759,plain,(
% 34.71/23.34 ![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 34.71/23.34 inference(skolemize,[status(sab)],[23758])).
% 34.71/23.34 tff(23760,plain,
% 34.71/23.34 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23759, 23755])).
% 34.71/23.34 tff(23761,plain,
% 34.71/23.34 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB158)) | (~v197(constB158)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB158)) | (~v197(constB158)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23762,plain,
% 34.71/23.34 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB158)) | (~v197(constB158)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23763,plain,
% 34.71/23.34 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB158)) | (~v197(constB158))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23762, 23761])).
% 34.71/23.34 tff(23764,plain,
% 34.71/23.34 (~v197(constB158)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23763, 23760, 14])).
% 34.71/23.34 tff(23765,plain,
% 34.71/23.34 (^[VarCurr: $i] : refl((v197(VarCurr) | (~v200(VarCurr))) <=> (v197(VarCurr) | (~v200(VarCurr))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23766,plain,
% 34.71/23.34 (![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23765])).
% 34.71/23.34 tff(23767,plain,
% 34.71/23.34 (![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23768,axiom,(![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_3')).
% 34.71/23.34 tff(23769,plain,
% 34.71/23.34 (![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23768, 23767])).
% 34.71/23.34 tff(23770,plain,(
% 34.71/23.34 ![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))),
% 34.71/23.34 inference(skolemize,[status(sab)],[23769])).
% 34.71/23.34 tff(23771,plain,
% 34.71/23.34 (![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23770, 23766])).
% 34.71/23.34 tff(23772,plain,
% 34.71/23.34 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB158) | (~v200(constB158)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB158) | (~v200(constB158)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23773,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB158) | (~v200(constB158)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23774,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB158) | (~v200(constB158))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23773, 23772])).
% 34.71/23.34 tff(23775,plain,
% 34.71/23.34 (~v200(constB158)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23774, 23771, 23764])).
% 34.71/23.34 tff(23776,plain,
% 34.71/23.34 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB158) | (~v198(constB158)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB158) | (~v198(constB158)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23777,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB158) | (~v198(constB158)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23778,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB158) | (~v198(constB158))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23777, 23776])).
% 34.71/23.34 tff(23779,plain,
% 34.71/23.34 (~v198(constB158)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23778, 23708, 23775])).
% 34.71/23.34 tff(23780,plain,
% 34.71/23.34 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB158) | v198(constB158) | (~v191(constB158)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB158) | v198(constB158) | (~v191(constB158)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23781,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB158) | v198(constB158) | (~v191(constB158)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23782,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB158) | v198(constB158) | (~v191(constB158))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23781, 23780])).
% 34.71/23.34 tff(23783,plain,
% 34.71/23.34 (v194(constB158) | (~v191(constB158))),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23782, 23722, 23779])).
% 34.71/23.34 tff(23784,plain,
% 34.71/23.34 (~v191(constB158)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23783, 23753])).
% 34.71/23.34 tff(23785,plain,
% 34.71/23.34 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23786,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 34.71/23.34 tff(23787,plain,
% 34.71/23.34 (nextState(constB158, constB159)),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23786, 23785])).
% 34.71/23.34 tff(23788,plain,
% 34.71/23.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB158, constB159)) | v191(constB158) | (~v193(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB158, constB159)) | v191(constB158) | (~v193(constB159)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23789,plain,
% 34.71/23.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB158, constB159)) | v191(constB158) | (~v193(constB159)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23790,plain,
% 34.71/23.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB158, constB159)) | v191(constB158) | (~v193(constB159))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23789, 23788])).
% 34.71/23.34 tff(23791,plain,
% 34.71/23.34 (v191(constB158) | (~v193(constB159))),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23790, 23737, 23787])).
% 34.71/23.34 tff(23792,plain,
% 34.71/23.34 (~v193(constB159)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23791, 23784])).
% 34.71/23.34 tff(23793,plain,
% 34.71/23.34 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB159) | (~v194(constB159)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB159) | (~v194(constB159)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23794,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB159) | (~v194(constB159)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23795,plain,
% 34.71/23.34 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB159) | (~v194(constB159))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23794, 23793])).
% 34.71/23.34 tff(23796,plain,
% 34.71/23.34 (~v194(constB159)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23795, 23749, 23792])).
% 34.71/23.34 tff(23797,plain,
% 34.71/23.34 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23798,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23797])).
% 34.71/23.34 tff(23799,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23800,plain,
% 34.71/23.34 (^[VarNext: $i, VarCurr: $i] : rewrite(((v163(VarCurr) | (~v186(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23801,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((v163(VarCurr) | (~v186(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23800])).
% 34.71/23.34 tff(23802,axiom,(![VarNext: $i, VarCurr: $i] : ((v163(VarCurr) | (~v186(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_11_1_1_2')).
% 34.71/23.34 tff(23803,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23802, 23801])).
% 34.71/23.34 tff(23804,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23803, 23799])).
% 34.71/23.34 tff(23805,plain,(
% 34.71/23.34 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 34.71/23.34 inference(skolemize,[status(sab)],[23804])).
% 34.71/23.34 tff(23806,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23805, 23798])).
% 34.71/23.34 tff(23807,plain,
% 34.71/23.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB157) | (~nextState(constB157, constB158)) | (~v186(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB157) | (~nextState(constB157, constB158)) | (~v186(constB158)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23808,plain,
% 34.71/23.34 (((~nextState(constB157, constB158)) | v163(constB157) | (~v186(constB158))) <=> (v163(constB157) | (~nextState(constB157, constB158)) | (~v186(constB158)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23809,plain,
% 34.71/23.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB157, constB158)) | v163(constB157) | (~v186(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB157) | (~nextState(constB157, constB158)) | (~v186(constB158))))),
% 34.71/23.34 inference(monotonicity,[status(thm)],[23808])).
% 34.71/23.34 tff(23810,plain,
% 34.71/23.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB157, constB158)) | v163(constB157) | (~v186(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB157) | (~nextState(constB157, constB158)) | (~v186(constB158)))),
% 34.71/23.34 inference(transitivity,[status(thm)],[23809, 23807])).
% 34.71/23.34 tff(23811,plain,
% 34.71/23.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB157, constB158)) | v163(constB157) | (~v186(constB158)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23812,plain,
% 34.71/23.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB157) | (~nextState(constB157, constB158)) | (~v186(constB158))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23811, 23810])).
% 34.71/23.34 tff(23813,plain,
% 34.71/23.34 (v163(constB157) | (~v186(constB158))),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23812, 23806, 57])).
% 34.71/23.34 tff(23814,plain,
% 34.71/23.34 (~v186(constB158)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23813, 23679])).
% 34.71/23.34 tff(23815,plain,
% 34.71/23.34 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23816,plain,
% 34.71/23.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23817,plain,
% 34.71/23.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23816, 23815])).
% 34.71/23.34 tff(23818,plain,
% 34.71/23.34 (~v104(constB158)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23817, 603, 57, 75])).
% 34.71/23.34 tff(23819,plain,
% 34.71/23.34 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23820,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23819])).
% 34.71/23.34 tff(23821,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23822,plain,
% 34.71/23.34 (^[VarNext: $i, VarCurr: $i] : rewrite(((v104(VarNext) | v181(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23823,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v181(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23822])).
% 34.71/23.34 tff(23824,axiom,(![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v181(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_14_1_2')).
% 34.71/23.34 tff(23825,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23824, 23823])).
% 34.71/23.34 tff(23826,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23825, 23821])).
% 34.71/23.34 tff(23827,plain,(
% 34.71/23.34 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 34.71/23.34 inference(skolemize,[status(sab)],[23826])).
% 34.71/23.34 tff(23828,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23827, 23820])).
% 34.71/23.34 tff(23829,plain,
% 34.71/23.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB157, constB158)) | v181(constB158) | v104(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB157, constB158)) | v181(constB158) | v104(constB158))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23830,plain,
% 34.71/23.34 (((~nextState(constB157, constB158)) | v104(constB158) | v181(constB158)) <=> ((~nextState(constB157, constB158)) | v181(constB158) | v104(constB158))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23831,plain,
% 34.71/23.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | v181(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB157, constB158)) | v181(constB158) | v104(constB158)))),
% 34.71/23.34 inference(monotonicity,[status(thm)],[23830])).
% 34.71/23.34 tff(23832,plain,
% 34.71/23.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | v181(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB157, constB158)) | v181(constB158) | v104(constB158))),
% 34.71/23.34 inference(transitivity,[status(thm)],[23831, 23829])).
% 34.71/23.34 tff(23833,plain,
% 34.71/23.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | v181(constB158))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23834,plain,
% 34.71/23.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB157, constB158)) | v181(constB158) | v104(constB158)),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23833, 23832])).
% 34.71/23.34 tff(23835,plain,
% 34.71/23.34 (v181(constB158) | v104(constB158)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23834, 23828, 57])).
% 34.71/23.34 tff(23836,plain,
% 34.71/23.34 (v181(constB158)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23835, 23818])).
% 34.71/23.34 tff(23837,plain,
% 34.71/23.34 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23838,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23837])).
% 34.71/23.34 tff(23839,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23840,plain,
% 34.71/23.34 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v180(VarNext) | (~v1(VarNext))) | (~v181(VarNext))) <=> ((~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))), ((((v180(VarNext) | (~v1(VarNext))) | (~v181(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (((~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) | (~nextState(VarCurr, VarNext))))), rewrite((((~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))), ((((v180(VarNext) | (~v1(VarNext))) | (~v181(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23841,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : (((v180(VarNext) | (~v1(VarNext))) | (~v181(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23840])).
% 34.71/23.34 tff(23842,axiom,(![VarNext: $i, VarCurr: $i] : (((v180(VarNext) | (~v1(VarNext))) | (~v181(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1')).
% 34.71/23.34 tff(23843,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23842, 23841])).
% 34.71/23.34 tff(23844,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23843, 23839])).
% 34.71/23.34 tff(23845,plain,(
% 34.71/23.34 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 34.71/23.34 inference(skolemize,[status(sab)],[23844])).
% 34.71/23.34 tff(23846,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23845, 23838])).
% 34.71/23.34 tff(23847,plain,
% 34.71/23.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB157, constB158)) | v180(constB158) | (~v1(constB158)) | (~v181(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB157, constB158)) | v180(constB158) | (~v1(constB158)) | (~v181(constB158)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23848,plain,
% 34.71/23.34 (((~nextState(constB157, constB158)) | (~v1(constB158)) | v180(constB158) | (~v181(constB158))) <=> ((~nextState(constB157, constB158)) | v180(constB158) | (~v1(constB158)) | (~v181(constB158)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23849,plain,
% 34.71/23.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB157, constB158)) | (~v1(constB158)) | v180(constB158) | (~v181(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB157, constB158)) | v180(constB158) | (~v1(constB158)) | (~v181(constB158))))),
% 34.71/23.34 inference(monotonicity,[status(thm)],[23848])).
% 34.71/23.34 tff(23850,plain,
% 34.71/23.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB157, constB158)) | (~v1(constB158)) | v180(constB158) | (~v181(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB157, constB158)) | v180(constB158) | (~v1(constB158)) | (~v181(constB158)))),
% 34.71/23.34 inference(transitivity,[status(thm)],[23849, 23847])).
% 34.71/23.34 tff(23851,plain,
% 34.71/23.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB157, constB158)) | (~v1(constB158)) | v180(constB158) | (~v181(constB158)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23852,plain,
% 34.71/23.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB157, constB158)) | v180(constB158) | (~v1(constB158)) | (~v181(constB158))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23851, 23850])).
% 34.71/23.34 tff(23853,plain,
% 34.71/23.34 (v180(constB158) | (~v181(constB158))),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23852, 23846, 57, 14])).
% 34.71/23.34 tff(23854,plain,
% 34.71/23.34 (v180(constB158)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23853, 23836])).
% 34.71/23.34 tff(23855,plain,
% 34.71/23.34 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23856,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23855])).
% 34.71/23.34 tff(23857,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23858,plain,
% 34.71/23.34 (^[VarNext: $i, VarCurr: $i] : rewrite(((v179(VarNext) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23859,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((v179(VarNext) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23858])).
% 34.71/23.34 tff(23860,axiom,(![VarNext: $i, VarCurr: $i] : ((v179(VarNext) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1')).
% 34.71/23.34 tff(23861,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23860, 23859])).
% 34.71/23.34 tff(23862,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23861, 23857])).
% 34.71/23.34 tff(23863,plain,(
% 34.71/23.34 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))),
% 34.71/23.34 inference(skolemize,[status(sab)],[23862])).
% 34.71/23.34 tff(23864,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23863, 23856])).
% 34.71/23.34 tff(23865,plain,
% 34.71/23.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB157, constB158)) | v179(constB158) | (~v180(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB157, constB158)) | v179(constB158) | (~v180(constB158)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23866,plain,
% 34.71/23.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB157, constB158)) | v179(constB158) | (~v180(constB158)))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23867,plain,
% 34.71/23.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB157, constB158)) | v179(constB158) | (~v180(constB158))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23866, 23865])).
% 34.71/23.34 tff(23868,plain,
% 34.71/23.34 (v179(constB158) | (~v180(constB158))),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23867, 23864, 57])).
% 34.71/23.34 tff(23869,plain,
% 34.71/23.34 (v179(constB158)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23868, 23854])).
% 34.71/23.34 tff(23870,plain,
% 34.71/23.34 (^[VarNext: $i] : refl(((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext)) <=> ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext)))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23871,plain,
% 34.71/23.34 (![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext)) <=> ![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23870])).
% 34.71/23.34 tff(23872,plain,
% 34.71/23.34 (![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext)) <=> ![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23873,plain,
% 34.71/23.34 (^[VarNext: $i] : rewrite(((v186(VarNext) | (~v159(VarNext))) | (~v179(VarNext))) <=> ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext)))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23874,plain,
% 34.71/23.34 (![VarNext: $i] : ((v186(VarNext) | (~v159(VarNext))) | (~v179(VarNext))) <=> ![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23873])).
% 34.71/23.34 tff(23875,axiom,(![VarNext: $i] : ((v186(VarNext) | (~v159(VarNext))) | (~v179(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 34.71/23.34 tff(23876,plain,
% 34.71/23.34 (![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23875, 23874])).
% 34.71/23.34 tff(23877,plain,
% 34.71/23.34 (![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23876, 23872])).
% 34.71/23.34 tff(23878,plain,(
% 34.71/23.34 ![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))),
% 34.71/23.34 inference(skolemize,[status(sab)],[23877])).
% 34.71/23.34 tff(23879,plain,
% 34.71/23.34 (![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23878, 23871])).
% 34.71/23.34 tff(23880,plain,
% 34.71/23.34 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB158)) | v186(constB158) | (~v179(constB158)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB158)) | v186(constB158) | (~v179(constB158)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23881,plain,
% 34.71/23.34 (((~v179(constB158)) | (~v159(constB158)) | v186(constB158)) <=> ((~v159(constB158)) | v186(constB158) | (~v179(constB158)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23882,plain,
% 34.71/23.34 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB158)) | (~v159(constB158)) | v186(constB158))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB158)) | v186(constB158) | (~v179(constB158))))),
% 34.71/23.34 inference(monotonicity,[status(thm)],[23881])).
% 34.71/23.34 tff(23883,plain,
% 34.71/23.34 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB158)) | (~v159(constB158)) | v186(constB158))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB158)) | v186(constB158) | (~v179(constB158)))),
% 34.71/23.34 inference(transitivity,[status(thm)],[23882, 23880])).
% 34.71/23.34 tff(23884,plain,
% 34.71/23.34 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB158)) | (~v159(constB158)) | v186(constB158))),
% 34.71/23.34 inference(quant_inst,[status(thm)],[])).
% 34.71/23.34 tff(23885,plain,
% 34.71/23.34 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB158)) | v186(constB158) | (~v179(constB158))),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23884, 23883])).
% 34.71/23.34 tff(23886,plain,
% 34.71/23.34 ((~v159(constB158)) | v186(constB158)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23885, 23879, 23869])).
% 34.71/23.34 tff(23887,plain,
% 34.71/23.34 (~v159(constB158)),
% 34.71/23.34 inference(unit_resolution,[status(thm)],[23886, 23814])).
% 34.71/23.34 tff(23888,plain,
% 34.71/23.34 ((~v1(constB159)) <=> (~v1(constB159))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.34 tff(23889,axiom,(~v1(constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 34.71/23.34 tff(23890,plain,
% 34.71/23.34 (~v1(constB159)),
% 34.71/23.34 inference(modus_ponens,[status(thm)],[23889, 23888])).
% 34.71/23.34 tff(23891,plain,
% 34.71/23.34 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))))),
% 34.71/23.34 inference(bind,[status(th)],[])).
% 34.71/23.34 tff(23892,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 34.71/23.34 inference(quant_intro,[status(thm)],[23891])).
% 34.71/23.34 tff(23893,plain,
% 34.71/23.34 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 34.71/23.34 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23894,plain,
% 34.71/23.35 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarNext) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))))),
% 34.71/23.35 inference(bind,[status(th)],[])).
% 34.71/23.35 tff(23895,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 34.71/23.35 inference(quant_intro,[status(thm)],[23894])).
% 34.71/23.35 tff(23896,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_2')).
% 34.71/23.35 tff(23897,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23896, 23895])).
% 34.71/23.35 tff(23898,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23897, 23893])).
% 34.71/23.35 tff(23899,plain,(
% 34.71/23.35 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 34.71/23.35 inference(skolemize,[status(sab)],[23898])).
% 34.71/23.35 tff(23900,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23899, 23892])).
% 34.71/23.35 tff(23901,plain,
% 34.71/23.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v180(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v180(constB159)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23902,plain,
% 34.71/23.35 (((~nextState(constB158, constB159)) | v1(constB159) | (~v180(constB159))) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v180(constB159)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23903,plain,
% 34.71/23.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v1(constB159) | (~v180(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v180(constB159))))),
% 34.71/23.35 inference(monotonicity,[status(thm)],[23902])).
% 34.71/23.35 tff(23904,plain,
% 34.71/23.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v1(constB159) | (~v180(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v180(constB159)))),
% 34.71/23.35 inference(transitivity,[status(thm)],[23903, 23901])).
% 34.71/23.35 tff(23905,plain,
% 34.71/23.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v1(constB159) | (~v180(constB159)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(23906,plain,
% 34.71/23.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v180(constB159))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23905, 23904])).
% 34.71/23.35 tff(23907,plain,
% 34.71/23.35 (~v180(constB159)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23906, 23900, 23787, 23890])).
% 34.71/23.35 tff(23908,plain,
% 34.71/23.35 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext)))),
% 34.71/23.35 inference(bind,[status(th)],[])).
% 34.71/23.35 tff(23909,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))),
% 34.71/23.35 inference(quant_intro,[status(thm)],[23908])).
% 34.71/23.35 tff(23910,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23911,plain,
% 34.71/23.35 (^[VarNext: $i, VarCurr: $i] : rewrite(((v180(VarNext) | (~v179(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext)))),
% 34.71/23.35 inference(bind,[status(th)],[])).
% 34.71/23.35 tff(23912,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : ((v180(VarNext) | (~v179(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))),
% 34.71/23.35 inference(quant_intro,[status(thm)],[23911])).
% 34.71/23.35 tff(23913,axiom,(![VarNext: $i, VarCurr: $i] : ((v180(VarNext) | (~v179(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_2')).
% 34.71/23.35 tff(23914,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23913, 23912])).
% 34.71/23.35 tff(23915,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23914, 23910])).
% 34.71/23.35 tff(23916,plain,(
% 34.71/23.35 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))),
% 34.71/23.35 inference(skolemize,[status(sab)],[23915])).
% 34.71/23.35 tff(23917,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23916, 23909])).
% 34.71/23.35 tff(23918,plain,
% 34.71/23.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB158, constB159)) | v180(constB159) | (~v179(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB158, constB159)) | v180(constB159) | (~v179(constB159)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23919,plain,
% 34.71/23.35 (((~nextState(constB158, constB159)) | (~v179(constB159)) | v180(constB159)) <=> ((~nextState(constB158, constB159)) | v180(constB159) | (~v179(constB159)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23920,plain,
% 34.71/23.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB158, constB159)) | (~v179(constB159)) | v180(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB158, constB159)) | v180(constB159) | (~v179(constB159))))),
% 34.71/23.35 inference(monotonicity,[status(thm)],[23919])).
% 34.71/23.35 tff(23921,plain,
% 34.71/23.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB158, constB159)) | (~v179(constB159)) | v180(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB158, constB159)) | v180(constB159) | (~v179(constB159)))),
% 34.71/23.35 inference(transitivity,[status(thm)],[23920, 23918])).
% 34.71/23.35 tff(23922,plain,
% 34.71/23.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB158, constB159)) | (~v179(constB159)) | v180(constB159))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(23923,plain,
% 34.71/23.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB158, constB159)) | v180(constB159) | (~v179(constB159))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23922, 23921])).
% 34.71/23.35 tff(23924,plain,
% 34.71/23.35 (v180(constB159) | (~v179(constB159))),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23923, 23917, 23787])).
% 34.71/23.35 tff(23925,plain,
% 34.71/23.35 (~v179(constB159)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23924, 23907])).
% 34.71/23.35 tff(23926,plain,
% 34.71/23.35 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))))),
% 34.71/23.35 inference(bind,[status(th)],[])).
% 34.71/23.35 tff(23927,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 34.71/23.35 inference(quant_intro,[status(thm)],[23926])).
% 34.71/23.35 tff(23928,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23929,plain,
% 34.71/23.35 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v159(VarCurr) | (~v159(VarNext))) | v179(VarNext)) <=> (v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))), ((((v159(VarCurr) | (~v159(VarNext))) | v179(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) | (~nextState(VarCurr, VarNext))))), rewrite(((v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))), ((((v159(VarCurr) | (~v159(VarNext))) | v179(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))))),
% 34.71/23.35 inference(bind,[status(th)],[])).
% 34.71/23.35 tff(23930,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : (((v159(VarCurr) | (~v159(VarNext))) | v179(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 34.71/23.35 inference(quant_intro,[status(thm)],[23929])).
% 34.71/23.35 tff(23931,axiom,(![VarNext: $i, VarCurr: $i] : (((v159(VarCurr) | (~v159(VarNext))) | v179(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1_2')).
% 34.71/23.35 tff(23932,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23931, 23930])).
% 34.71/23.35 tff(23933,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23932, 23928])).
% 34.71/23.35 tff(23934,plain,(
% 34.71/23.35 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 34.71/23.35 inference(skolemize,[status(sab)],[23933])).
% 34.71/23.35 tff(23935,plain,
% 34.71/23.35 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23934, 23927])).
% 34.71/23.35 tff(23936,plain,
% 34.71/23.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB158) | (~nextState(constB158, constB159)) | v179(constB159) | (~v159(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB158) | (~nextState(constB158, constB159)) | v179(constB159) | (~v159(constB159)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23937,plain,
% 34.71/23.35 (((~nextState(constB158, constB159)) | v179(constB159) | v159(constB158) | (~v159(constB159))) <=> (v159(constB158) | (~nextState(constB158, constB159)) | v179(constB159) | (~v159(constB159)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23938,plain,
% 34.71/23.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB158, constB159)) | v179(constB159) | v159(constB158) | (~v159(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB158) | (~nextState(constB158, constB159)) | v179(constB159) | (~v159(constB159))))),
% 34.71/23.35 inference(monotonicity,[status(thm)],[23937])).
% 34.71/23.35 tff(23939,plain,
% 34.71/23.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB158, constB159)) | v179(constB159) | v159(constB158) | (~v159(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB158) | (~nextState(constB158, constB159)) | v179(constB159) | (~v159(constB159)))),
% 34.71/23.35 inference(transitivity,[status(thm)],[23938, 23936])).
% 34.71/23.35 tff(23940,plain,
% 34.71/23.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB158, constB159)) | v179(constB159) | v159(constB158) | (~v159(constB159)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(23941,plain,
% 34.71/23.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB158) | (~nextState(constB158, constB159)) | v179(constB159) | (~v159(constB159))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23940, 23939])).
% 34.71/23.35 tff(23942,plain,
% 34.71/23.35 (v159(constB158) | v179(constB159) | (~v159(constB159))),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23941, 23935, 23787])).
% 34.71/23.35 tff(23943,plain,
% 34.71/23.35 (v159(constB158) | (~v159(constB159))),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23942, 23925])).
% 34.71/23.35 tff(23944,plain,
% 34.71/23.35 (~v159(constB159)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23943, 23887])).
% 34.71/23.35 tff(23945,plain,
% 34.71/23.35 (^[VarCurr: $i] : refl((v159(VarCurr) | (~v201(VarCurr))) <=> (v159(VarCurr) | (~v201(VarCurr))))),
% 34.71/23.35 inference(bind,[status(th)],[])).
% 34.71/23.35 tff(23946,plain,
% 34.71/23.35 (![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))),
% 34.71/23.35 inference(quant_intro,[status(thm)],[23945])).
% 34.71/23.35 tff(23947,plain,
% 34.71/23.35 (![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23948,axiom,(![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47_1_1_2')).
% 34.71/23.35 tff(23949,plain,
% 34.71/23.35 (![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23948, 23947])).
% 34.71/23.35 tff(23950,plain,(
% 34.71/23.35 ![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))),
% 34.71/23.35 inference(skolemize,[status(sab)],[23949])).
% 34.71/23.35 tff(23951,plain,
% 34.71/23.35 (![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23950, 23946])).
% 34.71/23.35 tff(23952,plain,
% 34.71/23.35 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB159) | (~v201(constB159)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB159) | (~v201(constB159)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23953,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB159) | (~v201(constB159)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(23954,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB159) | (~v201(constB159))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23953, 23952])).
% 34.71/23.35 tff(23955,plain,
% 34.71/23.35 (~v201(constB159)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23954, 23951, 23944])).
% 34.71/23.35 tff(23956,plain,
% 34.71/23.35 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB159) | (~v200(constB159)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB159) | (~v200(constB159)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23957,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB159) | (~v200(constB159)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(23958,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB159) | (~v200(constB159))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23957, 23956])).
% 34.71/23.35 tff(23959,plain,
% 34.71/23.35 (~v200(constB159)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23958, 23697, 23955])).
% 34.71/23.35 tff(23960,plain,
% 34.71/23.35 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB159) | (~v198(constB159)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB159) | (~v198(constB159)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23961,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB159) | (~v198(constB159)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(23962,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB159) | (~v198(constB159))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23961, 23960])).
% 34.71/23.35 tff(23963,plain,
% 34.71/23.35 (~v198(constB159)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23962, 23708, 23959])).
% 34.71/23.35 tff(23964,plain,
% 34.71/23.35 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB159) | v198(constB159) | (~v191(constB159)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB159) | v198(constB159) | (~v191(constB159)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23965,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB159) | v198(constB159) | (~v191(constB159)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(23966,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB159) | v198(constB159) | (~v191(constB159))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23965, 23964])).
% 34.71/23.35 tff(23967,plain,
% 34.71/23.35 (v194(constB159) | (~v191(constB159))),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23966, 23722, 23963])).
% 34.71/23.35 tff(23968,plain,
% 34.71/23.35 (~v191(constB159)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23967, 23796])).
% 34.71/23.35 tff(23969,plain,
% 34.71/23.35 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23970,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 34.71/23.35 tff(23971,plain,
% 34.71/23.35 (nextState(constB159, constB160)),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23970, 23969])).
% 34.71/23.35 tff(23972,plain,
% 34.71/23.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB159, constB160)) | v191(constB159) | (~v193(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB159, constB160)) | v191(constB159) | (~v193(constB160)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23973,plain,
% 34.71/23.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB159, constB160)) | v191(constB159) | (~v193(constB160)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(23974,plain,
% 34.71/23.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB159, constB160)) | v191(constB159) | (~v193(constB160))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23973, 23972])).
% 34.71/23.35 tff(23975,plain,
% 34.71/23.35 (v191(constB159) | (~v193(constB160))),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23974, 23737, 23971])).
% 34.71/23.35 tff(23976,plain,
% 34.71/23.35 (~v193(constB160)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23975, 23968])).
% 34.71/23.35 tff(23977,plain,
% 34.71/23.35 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB160) | (~v194(constB160)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB160) | (~v194(constB160)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23978,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB160) | (~v194(constB160)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(23979,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB160) | (~v194(constB160))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23978, 23977])).
% 34.71/23.35 tff(23980,plain,
% 34.71/23.35 (~v194(constB160)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23979, 23749, 23976])).
% 34.71/23.35 tff(23981,plain,
% 34.71/23.35 (v1(constB160) <=> v1(constB160)),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23982,axiom,(v1(constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 34.71/23.35 tff(23983,plain,
% 34.71/23.35 (v1(constB160)),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23982, 23981])).
% 34.71/23.35 tff(23984,plain,
% 34.71/23.35 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB160)) | (~v197(constB160)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB160)) | (~v197(constB160)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23985,plain,
% 34.71/23.35 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB160)) | (~v197(constB160)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(23986,plain,
% 34.71/23.35 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB160)) | (~v197(constB160))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23985, 23984])).
% 34.71/23.35 tff(23987,plain,
% 34.71/23.35 (~v197(constB160)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23986, 23760, 23983])).
% 34.71/23.35 tff(23988,plain,
% 34.71/23.35 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB160) | (~v200(constB160)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB160) | (~v200(constB160)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23989,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB160) | (~v200(constB160)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(23990,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB160) | (~v200(constB160))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23989, 23988])).
% 34.71/23.35 tff(23991,plain,
% 34.71/23.35 (~v200(constB160)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23990, 23771, 23987])).
% 34.71/23.35 tff(23992,plain,
% 34.71/23.35 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB160) | (~v198(constB160)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB160) | (~v198(constB160)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23993,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB160) | (~v198(constB160)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(23994,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB160) | (~v198(constB160))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23993, 23992])).
% 34.71/23.35 tff(23995,plain,
% 34.71/23.35 (~v198(constB160)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23994, 23708, 23991])).
% 34.71/23.35 tff(23996,plain,
% 34.71/23.35 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB160) | v198(constB160) | (~v191(constB160)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB160) | v198(constB160) | (~v191(constB160)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(23997,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB160) | v198(constB160) | (~v191(constB160)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(23998,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB160) | v198(constB160) | (~v191(constB160))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[23997, 23996])).
% 34.71/23.35 tff(23999,plain,
% 34.71/23.35 (v194(constB160) | (~v191(constB160))),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23998, 23722, 23995])).
% 34.71/23.35 tff(24000,plain,
% 34.71/23.35 (~v191(constB160)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[23999, 23980])).
% 34.71/23.35 tff(24001,plain,
% 34.71/23.35 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24002,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 34.71/23.35 tff(24003,plain,
% 34.71/23.35 (nextState(constB160, constB161)),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24002, 24001])).
% 34.71/23.35 tff(24004,plain,
% 34.71/23.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB160, constB161)) | v191(constB160) | (~v193(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB160, constB161)) | v191(constB160) | (~v193(constB161)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24005,plain,
% 34.71/23.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB160, constB161)) | v191(constB160) | (~v193(constB161)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(24006,plain,
% 34.71/23.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB160, constB161)) | v191(constB160) | (~v193(constB161))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24005, 24004])).
% 34.71/23.35 tff(24007,plain,
% 34.71/23.35 (v191(constB160) | (~v193(constB161))),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[24006, 23737, 24003])).
% 34.71/23.35 tff(24008,plain,
% 34.71/23.35 (~v193(constB161)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[24007, 24000])).
% 34.71/23.35 tff(24009,assumption,(constB161 = sK0_VarCurr), introduced(assumption)).
% 34.71/23.35 tff(24010,plain,
% 34.71/23.35 (v193(constB161) <=> v193(sK0_VarCurr)),
% 34.71/23.35 inference(monotonicity,[status(thm)],[24009])).
% 34.71/23.35 tff(24011,plain,
% 34.71/23.35 (v193(sK0_VarCurr) <=> v193(constB161)),
% 34.71/23.35 inference(symmetry,[status(thm)],[24010])).
% 34.71/23.35 tff(24012,plain,
% 34.71/23.35 (v205(sK0_VarCurr) <=> v205(sK0_VarCurr)),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24013,axiom,(v205(sK0_VarCurr)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 34.71/23.35 tff(24014,plain,
% 34.71/23.35 (v205(sK0_VarCurr)),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24013, 24012])).
% 34.71/23.35 tff(24015,plain,
% 34.71/23.35 (^[VarCurr: $i] : refl((v193(VarCurr) | (~v205(VarCurr))) <=> (v193(VarCurr) | (~v205(VarCurr))))),
% 34.71/23.35 inference(bind,[status(th)],[])).
% 34.71/23.35 tff(24016,plain,
% 34.71/23.35 (![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))),
% 34.71/23.35 inference(quant_intro,[status(thm)],[24015])).
% 34.71/23.35 tff(24017,plain,
% 34.71/23.35 (![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24018,axiom,(![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_53_1_1_1_2')).
% 34.71/23.35 tff(24019,plain,
% 34.71/23.35 (![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24018, 24017])).
% 34.71/23.35 tff(24020,plain,(
% 34.71/23.35 ![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))),
% 34.71/23.35 inference(skolemize,[status(sab)],[24019])).
% 34.71/23.35 tff(24021,plain,
% 34.71/23.35 (![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24020, 24016])).
% 34.71/23.35 tff(24022,plain,
% 34.71/23.35 (((~![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))) | (v193(sK0_VarCurr) | (~v205(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))) | v193(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24023,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))) | (v193(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(24024,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v193(VarCurr) | (~v205(VarCurr)))) | v193(sK0_VarCurr) | (~v205(sK0_VarCurr))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24023, 24022])).
% 34.71/23.35 tff(24025,plain,
% 34.71/23.35 (v193(sK0_VarCurr)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[24024, 24021, 24014])).
% 34.71/23.35 tff(24026,plain,
% 34.71/23.35 (v193(constB161)),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24025, 24011])).
% 34.71/23.35 tff(24027,assumption,(~v193(constB161)), introduced(assumption)).
% 34.71/23.35 tff(24028,plain,
% 34.71/23.35 ($false),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[24027, 24026])).
% 34.71/23.35 tff(24029,plain,((~(constB161 = sK0_VarCurr)) | v193(constB161)), inference(lemma,lemma(discharge,[]))).
% 34.71/23.35 tff(24030,plain,
% 34.71/23.35 (~(constB161 = sK0_VarCurr)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[24029, 24008])).
% 34.71/23.35 tff(24031,assumption,(constB125 = sK0_VarCurr), introduced(assumption)).
% 34.71/23.35 tff(24032,plain,
% 34.71/23.35 (v86(constB125) <=> v86(sK0_VarCurr)),
% 34.71/23.35 inference(monotonicity,[status(thm)],[24031])).
% 34.71/23.35 tff(24033,plain,
% 34.71/23.35 (v86(sK0_VarCurr) <=> v86(constB125)),
% 34.71/23.35 inference(symmetry,[status(thm)],[24032])).
% 34.71/23.35 tff(24034,plain,
% 34.71/23.35 ((~v86(sK0_VarCurr)) <=> (~v86(constB125))),
% 34.71/23.35 inference(monotonicity,[status(thm)],[24033])).
% 34.71/23.35 tff(24035,plain,
% 34.71/23.35 (^[VarCurr: $i] : refl((v206(VarCurr) | (~v205(VarCurr))) <=> (v206(VarCurr) | (~v205(VarCurr))))),
% 34.71/23.35 inference(bind,[status(th)],[])).
% 34.71/23.35 tff(24036,plain,
% 34.71/23.35 (![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))),
% 34.71/23.35 inference(quant_intro,[status(thm)],[24035])).
% 34.71/23.35 tff(24037,plain,
% 34.71/23.35 (![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24038,axiom,(![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_53_1_1_1_1')).
% 34.71/23.35 tff(24039,plain,
% 34.71/23.35 (![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24038, 24037])).
% 34.71/23.35 tff(24040,plain,(
% 34.71/23.35 ![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))),
% 34.71/23.35 inference(skolemize,[status(sab)],[24039])).
% 34.71/23.35 tff(24041,plain,
% 34.71/23.35 (![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24040, 24036])).
% 34.71/23.35 tff(24042,plain,
% 34.71/23.35 (((~![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))) | (v206(sK0_VarCurr) | (~v205(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))) | v206(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24043,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))) | (v206(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(24044,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))) | v206(sK0_VarCurr) | (~v205(sK0_VarCurr))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24043, 24042])).
% 34.71/23.35 tff(24045,plain,
% 34.71/23.35 (v206(sK0_VarCurr)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[24044, 24041, 24014])).
% 34.71/23.35 tff(24046,plain,
% 34.71/23.35 (^[VarCurr: $i] : refl((v207(VarCurr) | (~v206(VarCurr))) <=> (v207(VarCurr) | (~v206(VarCurr))))),
% 34.71/23.35 inference(bind,[status(th)],[])).
% 34.71/23.35 tff(24047,plain,
% 34.71/23.35 (![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr))) <=> ![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))),
% 34.71/23.35 inference(quant_intro,[status(thm)],[24046])).
% 34.71/23.35 tff(24048,plain,
% 34.71/23.35 (![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr))) <=> ![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24049,axiom,(![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_52_1_1_1_1')).
% 34.71/23.35 tff(24050,plain,
% 34.71/23.35 (![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24049, 24048])).
% 34.71/23.35 tff(24051,plain,(
% 34.71/23.35 ![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))),
% 34.71/23.35 inference(skolemize,[status(sab)],[24050])).
% 34.71/23.35 tff(24052,plain,
% 34.71/23.35 (![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24051, 24047])).
% 34.71/23.35 tff(24053,plain,
% 34.71/23.35 (((~![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))) | (v207(sK0_VarCurr) | (~v206(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))) | v207(sK0_VarCurr) | (~v206(sK0_VarCurr)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24054,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))) | (v207(sK0_VarCurr) | (~v206(sK0_VarCurr)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(24055,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))) | v207(sK0_VarCurr) | (~v206(sK0_VarCurr))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24054, 24053])).
% 34.71/23.35 tff(24056,plain,
% 34.71/23.35 (v207(sK0_VarCurr)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[24055, 24052, 24045])).
% 34.71/23.35 tff(24057,plain,
% 34.71/23.35 (^[VarCurr: $i] : refl(((~v86(VarCurr)) | (~v207(VarCurr))) <=> ((~v86(VarCurr)) | (~v207(VarCurr))))),
% 34.71/23.35 inference(bind,[status(th)],[])).
% 34.71/23.35 tff(24058,plain,
% 34.71/23.35 (![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr))) <=> ![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))),
% 34.71/23.35 inference(quant_intro,[status(thm)],[24057])).
% 34.71/23.35 tff(24059,plain,
% 34.71/23.35 (![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr))) <=> ![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24060,axiom,(![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51_1_1_1_2')).
% 34.71/23.35 tff(24061,plain,
% 34.71/23.35 (![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24060, 24059])).
% 34.71/23.35 tff(24062,plain,(
% 34.71/23.35 ![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))),
% 34.71/23.35 inference(skolemize,[status(sab)],[24061])).
% 34.71/23.35 tff(24063,plain,
% 34.71/23.35 (![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24062, 24058])).
% 34.71/23.35 tff(24064,plain,
% 34.71/23.35 (((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))) | ((~v86(sK0_VarCurr)) | (~v207(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))) | (~v86(sK0_VarCurr)) | (~v207(sK0_VarCurr)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24065,plain,
% 34.71/23.35 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))) | ((~v86(sK0_VarCurr)) | (~v207(sK0_VarCurr)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(24066,plain,
% 34.71/23.35 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))) | (~v86(sK0_VarCurr)) | (~v207(sK0_VarCurr))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24065, 24064])).
% 34.71/23.35 tff(24067,plain,
% 34.71/23.35 (~v86(sK0_VarCurr)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[24066, 24063, 24056])).
% 34.71/23.35 tff(24068,plain,
% 34.71/23.35 (~v86(constB125)),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24067, 24034])).
% 34.71/23.35 tff(24069,plain,
% 34.71/23.35 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))))),
% 34.71/23.35 inference(bind,[status(th)],[])).
% 34.71/23.35 tff(24070,plain,
% 34.71/23.35 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 34.71/23.35 inference(quant_intro,[status(thm)],[24069])).
% 34.71/23.35 tff(24071,plain,
% 34.71/23.35 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24072,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_6')).
% 34.71/23.35 tff(24073,plain,
% 34.71/23.35 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24072, 24071])).
% 34.71/23.35 tff(24074,plain,(
% 34.71/23.35 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 34.71/23.35 inference(skolemize,[status(sab)],[24073])).
% 34.71/23.35 tff(24075,plain,
% 34.71/23.35 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24074, 24070])).
% 34.71/23.35 tff(24076,plain,
% 34.71/23.35 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB125, bitIndex2) | (~v88(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB125, bitIndex2) | (~v88(constB125, bitIndex2)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24077,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB125, bitIndex2) | (~v88(constB125, bitIndex2)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(24078,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB125, bitIndex2) | (~v88(constB125, bitIndex2))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24077, 24076])).
% 34.71/23.35 tff(24079,plain,
% 34.71/23.35 (~v88(constB125, bitIndex2)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[24078, 24075, 18550])).
% 34.71/23.35 tff(24080,plain,
% 34.71/23.35 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0)))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24081,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0)))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(24082,plain,
% 34.71/23.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24081, 24080])).
% 34.71/23.35 tff(24083,plain,
% 34.71/23.35 (~v88(constB125, bitIndex0)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[24082, 23593, 18615])).
% 34.71/23.35 tff(24084,plain,
% 34.71/23.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24085,plain,
% 34.71/23.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))),
% 34.71/23.35 inference(quant_inst,[status(thm)],[])).
% 34.71/23.35 tff(24086,plain,
% 34.71/23.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1)),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24085, 24084])).
% 34.71/23.35 tff(24087,plain,
% 34.71/23.35 (v88(constB125, bitIndex1)),
% 34.71/23.35 inference(unit_resolution,[status(thm)],[24086, 23528, 18581])).
% 34.71/23.35 tff(24088,plain,
% 34.71/23.35 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)))),
% 34.71/23.35 inference(bind,[status(th)],[])).
% 34.71/23.35 tff(24089,plain,
% 34.71/23.35 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 34.71/23.35 inference(quant_intro,[status(thm)],[24088])).
% 34.71/23.35 tff(24090,plain,
% 34.71/23.35 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 34.71/23.35 inference(rewrite,[status(thm)],[])).
% 34.71/23.35 tff(24091,plain,
% 34.71/23.35 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v143(VarCurr))), ((((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0)) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v143(VarCurr)) | v88(VarCurr, bitIndex0)))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v143(VarCurr)) | v88(VarCurr, bitIndex0)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))), ((((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))))),
% 34.71/23.35 inference(bind,[status(th)],[])).
% 34.71/23.35 tff(24092,plain,
% 34.71/23.35 (![VarCurr: $i] : (((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 34.71/23.35 inference(quant_intro,[status(thm)],[24091])).
% 34.71/23.35 tff(24093,axiom,(![VarCurr: $i] : (((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_1')).
% 34.71/23.35 tff(24094,plain,
% 34.71/23.35 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24093, 24092])).
% 34.71/23.35 tff(24095,plain,
% 34.71/23.35 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 34.71/23.35 inference(modus_ponens,[status(thm)],[24094, 24090])).
% 34.71/23.35 tff(24096,plain,(
% 34.71/23.35 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 34.71/23.36 inference(skolemize,[status(sab)],[24095])).
% 34.71/23.36 tff(24097,plain,
% 34.71/23.36 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24096, 24089])).
% 34.71/23.36 tff(24098,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v143(constB125) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v143(constB125) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24099,plain,
% 34.71/23.36 ((v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v143(constB125)) <=> (v143(constB125) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24100,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v143(constB125))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v143(constB125) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1))))),
% 34.71/23.36 inference(monotonicity,[status(thm)],[24099])).
% 34.71/23.36 tff(24101,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v143(constB125))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v143(constB125) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)))),
% 34.71/23.36 inference(transitivity,[status(thm)],[24100, 24098])).
% 34.71/23.36 tff(24102,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v143(constB125))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24103,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v143(constB125) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24102, 24101])).
% 34.71/23.36 tff(24104,plain,
% 34.71/23.36 (v143(constB125)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24103, 24097, 24087, 24083, 24079])).
% 34.71/23.36 tff(24105,plain,
% 34.71/23.36 (^[VarCurr: $i] : refl((v142(VarCurr) | (~v143(VarCurr))) <=> (v142(VarCurr) | (~v143(VarCurr))))),
% 34.71/23.36 inference(bind,[status(th)],[])).
% 34.71/23.36 tff(24106,plain,
% 34.71/23.36 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 34.71/23.36 inference(quant_intro,[status(thm)],[24105])).
% 34.71/23.36 tff(24107,plain,
% 34.71/23.36 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24108,axiom,(![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_2')).
% 34.71/23.36 tff(24109,plain,
% 34.71/23.36 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24108, 24107])).
% 34.71/23.36 tff(24110,plain,(
% 34.71/23.36 ![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 34.71/23.36 inference(skolemize,[status(sab)],[24109])).
% 34.71/23.36 tff(24111,plain,
% 34.71/23.36 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24110, 24106])).
% 34.71/23.36 tff(24112,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB125) | (~v143(constB125)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB125) | (~v143(constB125)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24113,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB125) | (~v143(constB125)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24114,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB125) | (~v143(constB125))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24113, 24112])).
% 34.71/23.36 tff(24115,plain,
% 34.71/23.36 (v142(constB125)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24114, 24111, 24104])).
% 34.71/23.36 tff(24116,plain,
% 34.71/23.36 (^[VarCurr: $i] : refl((v148(VarCurr) | (~v142(VarCurr))) <=> (v148(VarCurr) | (~v142(VarCurr))))),
% 34.71/23.36 inference(bind,[status(th)],[])).
% 34.71/23.36 tff(24117,plain,
% 34.71/23.36 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 34.71/23.36 inference(quant_intro,[status(thm)],[24116])).
% 34.71/23.36 tff(24118,plain,
% 34.71/23.36 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24119,axiom,(![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_1')).
% 34.71/23.36 tff(24120,plain,
% 34.71/23.36 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24119, 24118])).
% 34.71/23.36 tff(24121,plain,(
% 34.71/23.36 ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 34.71/23.36 inference(skolemize,[status(sab)],[24120])).
% 34.71/23.36 tff(24122,plain,
% 34.71/23.36 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24121, 24117])).
% 34.71/23.36 tff(24123,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB125) | (~v142(constB125)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB125) | (~v142(constB125)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24124,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB125) | (~v142(constB125)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24125,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB125) | (~v142(constB125))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24124, 24123])).
% 34.71/23.36 tff(24126,plain,
% 34.71/23.36 (v148(constB125)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24125, 24122, 24115])).
% 34.71/23.36 tff(24127,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB125) | (~v142(constB125)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB125) | (~v142(constB125)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24128,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB125) | (~v142(constB125)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24129,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB125) | (~v142(constB125))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24128, 24127])).
% 34.71/23.36 tff(24130,plain,
% 34.71/23.36 (v167(constB125)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24129, 23633, 24115])).
% 34.71/23.36 tff(24131,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB125) | (~v167(constB125)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB125) | (~v167(constB125)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24132,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB125) | (~v167(constB125)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24133,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB125) | (~v167(constB125))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24132, 24131])).
% 34.71/23.36 tff(24134,plain,
% 34.71/23.36 (v166(constB125)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24133, 23658, 24130])).
% 34.71/23.36 tff(24135,plain,
% 34.71/23.36 (^[VarNext: $i] : refl(((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext)) <=> ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext)))),
% 34.71/23.36 inference(bind,[status(th)],[])).
% 34.71/23.36 tff(24136,plain,
% 34.71/23.36 (![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext)) <=> ![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))),
% 34.71/23.36 inference(quant_intro,[status(thm)],[24135])).
% 34.71/23.36 tff(24137,plain,
% 34.71/23.36 (![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext)) <=> ![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24138,plain,
% 34.71/23.36 (^[VarNext: $i] : rewrite(((v86(VarNext) | (~v148(VarNext))) | (~v166(VarNext))) <=> ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext)))),
% 34.71/23.36 inference(bind,[status(th)],[])).
% 34.71/23.36 tff(24139,plain,
% 34.71/23.36 (![VarNext: $i] : ((v86(VarNext) | (~v148(VarNext))) | (~v166(VarNext))) <=> ![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))),
% 34.71/23.36 inference(quant_intro,[status(thm)],[24138])).
% 34.71/23.36 tff(24140,axiom,(![VarNext: $i] : ((v86(VarNext) | (~v148(VarNext))) | (~v166(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4_1_1')).
% 34.71/23.36 tff(24141,plain,
% 34.71/23.36 (![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24140, 24139])).
% 34.71/23.36 tff(24142,plain,
% 34.71/23.36 (![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24141, 24137])).
% 34.71/23.36 tff(24143,plain,(
% 34.71/23.36 ![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))),
% 34.71/23.36 inference(skolemize,[status(sab)],[24142])).
% 34.71/23.36 tff(24144,plain,
% 34.71/23.36 (![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24143, 24136])).
% 34.71/23.36 tff(24145,plain,
% 34.71/23.36 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB125) | (~v166(constB125)) | (~v148(constB125)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB125) | (~v166(constB125)) | (~v148(constB125)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24146,plain,
% 34.71/23.36 (((~v148(constB125)) | (~v166(constB125)) | v86(constB125)) <=> (v86(constB125) | (~v166(constB125)) | (~v148(constB125)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24147,plain,
% 34.71/23.36 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB125)) | (~v166(constB125)) | v86(constB125))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB125) | (~v166(constB125)) | (~v148(constB125))))),
% 34.71/23.36 inference(monotonicity,[status(thm)],[24146])).
% 34.71/23.36 tff(24148,plain,
% 34.71/23.36 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB125)) | (~v166(constB125)) | v86(constB125))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB125) | (~v166(constB125)) | (~v148(constB125)))),
% 34.71/23.36 inference(transitivity,[status(thm)],[24147, 24145])).
% 34.71/23.36 tff(24149,plain,
% 34.71/23.36 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB125)) | (~v166(constB125)) | v86(constB125))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24150,plain,
% 34.71/23.36 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB125) | (~v166(constB125)) | (~v148(constB125))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24149, 24148])).
% 34.71/23.36 tff(24151,plain,
% 34.71/23.36 (v86(constB125)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24150, 24144, 24134, 24126])).
% 34.71/23.36 tff(24152,plain,
% 34.71/23.36 ($false),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24151, 24068])).
% 34.71/23.36 tff(24153,plain,(~(constB125 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 34.71/23.36 tff(24154,assumption,(constB159 = sK0_VarCurr), introduced(assumption)).
% 34.71/23.36 tff(24155,plain,
% 34.71/23.36 (v193(constB159) <=> v193(sK0_VarCurr)),
% 34.71/23.36 inference(monotonicity,[status(thm)],[24154])).
% 34.71/23.36 tff(24156,plain,
% 34.71/23.36 (v193(sK0_VarCurr) <=> v193(constB159)),
% 34.71/23.36 inference(symmetry,[status(thm)],[24155])).
% 34.71/23.36 tff(24157,plain,
% 34.71/23.36 (v193(constB159)),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24025, 24156])).
% 34.71/23.36 tff(24158,assumption,(~v193(constB159)), introduced(assumption)).
% 34.71/23.36 tff(24159,plain,
% 34.71/23.36 ($false),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24158, 24157])).
% 34.71/23.36 tff(24160,plain,((~(constB159 = sK0_VarCurr)) | v193(constB159)), inference(lemma,lemma(discharge,[]))).
% 34.71/23.36 tff(24161,plain,
% 34.71/23.36 (~(constB159 = sK0_VarCurr)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24160, 23792])).
% 34.71/23.36 tff(24162,assumption,(v18(constB38)), introduced(assumption)).
% 34.71/23.36 tff(24163,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB38))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24164,plain,
% 34.71/23.36 ($false),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24163, 8, 24162])).
% 34.71/23.36 tff(24165,plain,(~v18(constB38)), inference(lemma,lemma(discharge,[]))).
% 34.71/23.36 tff(24166,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24167,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24168,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24167, 24166])).
% 34.71/23.36 tff(24169,plain,
% 34.71/23.36 (v22(constB38)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24168, 21, 7396])).
% 34.71/23.36 tff(24170,plain,
% 34.71/23.36 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB38)) | (~v22(constB38)) | v18(constB38))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB38)) | (~v22(constB38)) | v18(constB38))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24171,plain,
% 34.71/23.36 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB38)) | (~v22(constB38)) | v18(constB38))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24172,plain,
% 34.71/23.36 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB38)) | (~v22(constB38)) | v18(constB38)),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24171, 24170])).
% 34.71/23.36 tff(24173,plain,
% 34.71/23.36 ((~v19(constB38)) | v18(constB38)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24172, 35, 24169])).
% 34.71/23.36 tff(24174,plain,
% 34.71/23.36 (~v19(constB38)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24173, 24165])).
% 34.71/23.36 tff(24175,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24176,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24177,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38)),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24176, 24175])).
% 34.71/23.36 tff(24178,plain,
% 34.71/23.36 (v13(constB38)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24177, 50, 24174])).
% 34.71/23.36 tff(24179,plain,
% 34.71/23.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB37, constB38)) | (~v13(constB38)) | v9(constB37))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB37, constB38)) | (~v13(constB38)) | v9(constB37))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24180,plain,
% 34.71/23.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB37, constB38)) | (~v13(constB38)) | v9(constB37))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24181,plain,
% 34.71/23.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB37, constB38)) | (~v13(constB38)) | v9(constB37)),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24180, 24179])).
% 34.71/23.36 tff(24182,plain,
% 34.71/23.36 ((~v13(constB38)) | v9(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24181, 67, 7306])).
% 34.71/23.36 tff(24183,plain,
% 34.71/23.36 (v9(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24182, 24178])).
% 34.71/23.36 tff(24184,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v197(constB37))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB37) | (~v9(constB37)) | v197(constB37))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24185,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v197(constB37))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24186,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB37) | (~v9(constB37)) | v197(constB37)),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24185, 24184])).
% 34.71/23.36 tff(24187,plain,
% 34.71/23.36 ((~v9(constB37)) | v197(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24186, 85, 7205])).
% 34.71/23.36 tff(24188,plain,
% 34.71/23.36 (v197(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24187, 24183])).
% 34.71/23.36 tff(24189,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB37) | (~v197(constB37)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB37) | (~v197(constB37)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24190,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB37) | (~v197(constB37)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24191,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB37) | (~v197(constB37))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24190, 24189])).
% 34.71/23.36 tff(24192,plain,
% 34.71/23.36 (v196(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24191, 97, 24188])).
% 34.71/23.36 tff(24193,plain,
% 34.71/23.36 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB37)) | (~v194(constB37)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB37)) | (~v194(constB37)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24194,plain,
% 34.71/23.36 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB37)) | (~v194(constB37)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24195,plain,
% 34.71/23.36 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB37)) | (~v194(constB37))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24194, 24193])).
% 34.71/23.36 tff(24196,plain,
% 34.71/23.36 (~v194(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24195, 108, 24192])).
% 34.71/23.36 tff(24197,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB37, bitIndex0) | (~v88(constB37, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB37, bitIndex0) | (~v88(constB37, bitIndex0)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24198,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB37, bitIndex0) | (~v88(constB37, bitIndex0)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24199,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB37, bitIndex0) | (~v88(constB37, bitIndex0))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24198, 24197])).
% 34.71/23.36 tff(24200,plain,
% 34.71/23.36 (~v88(constB37, bitIndex0)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24199, 23593, 7345])).
% 34.71/23.36 tff(24201,plain,
% 34.71/23.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex2)) | v88(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB37, bitIndex2)) | v88(constB37, bitIndex2))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24202,plain,
% 34.71/23.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex2)) | v88(constB37, bitIndex2))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24203,plain,
% 34.71/23.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB37, bitIndex2)) | v88(constB37, bitIndex2)),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24202, 24201])).
% 34.71/23.36 tff(24204,plain,
% 34.71/23.36 (v88(constB37, bitIndex2)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24203, 23573, 7264])).
% 34.71/23.36 tff(24205,plain,
% 34.71/23.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB37, bitIndex1)) | v88(constB37, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB37, bitIndex1)) | v88(constB37, bitIndex1))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24206,plain,
% 34.71/23.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB37, bitIndex1)) | v88(constB37, bitIndex1))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24207,plain,
% 34.71/23.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB37, bitIndex1)) | v88(constB37, bitIndex1)),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24206, 24205])).
% 34.71/23.36 tff(24208,plain,
% 34.71/23.36 (v88(constB37, bitIndex1)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24207, 23528, 7229])).
% 34.71/23.36 tff(24209,plain,
% 34.71/23.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0) | v144(constB37))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0) | v144(constB37))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24210,plain,
% 34.71/23.36 (((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0) | v144(constB37)) <=> ((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0) | v144(constB37))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24211,plain,
% 34.71/23.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0) | v144(constB37))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0) | v144(constB37)))),
% 34.71/23.36 inference(monotonicity,[status(thm)],[24210])).
% 34.71/23.36 tff(24212,plain,
% 34.71/23.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0) | v144(constB37))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0) | v144(constB37))),
% 34.71/23.36 inference(transitivity,[status(thm)],[24211, 24209])).
% 34.71/23.36 tff(24213,plain,
% 34.71/23.36 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0) | v144(constB37))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24214,plain,
% 34.71/23.36 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0) | v144(constB37)),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24213, 24212])).
% 34.71/23.36 tff(24215,plain,
% 34.71/23.36 (v144(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24214, 23607, 24208, 24204, 24200])).
% 34.71/23.36 tff(24216,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB37) | (~v144(constB37)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB37) | (~v144(constB37)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24217,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB37) | (~v144(constB37)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24218,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB37) | (~v144(constB37))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24217, 24216])).
% 34.71/23.36 tff(24219,plain,
% 34.71/23.36 (v142(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24218, 23622, 24215])).
% 34.71/23.36 tff(24220,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB37) | (~v142(constB37)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB37) | (~v142(constB37)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24221,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB37) | (~v142(constB37)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24222,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB37) | (~v142(constB37))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24221, 24220])).
% 34.71/23.36 tff(24223,plain,
% 34.71/23.36 (v167(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24222, 23633, 24219])).
% 34.71/23.36 tff(24224,plain,
% 34.71/23.36 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB37)) | (~v170(constB37)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB37)) | (~v170(constB37)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24225,plain,
% 34.71/23.36 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB37)) | (~v170(constB37)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24226,plain,
% 34.71/23.36 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB37)) | (~v170(constB37))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24225, 24224])).
% 34.71/23.36 tff(24227,plain,
% 34.71/23.36 (~v170(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24226, 23647, 24223])).
% 34.71/23.36 tff(24228,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB37) | (~v167(constB37)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB37) | (~v167(constB37)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24229,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB37) | (~v167(constB37)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24230,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB37) | (~v167(constB37))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24229, 24228])).
% 34.71/23.36 tff(24231,plain,
% 34.71/23.36 (v166(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24230, 23658, 24223])).
% 34.71/23.36 tff(24232,plain,
% 34.71/23.36 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB37)) | (~v166(constB37)) | v170(constB37))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB37)) | (~v166(constB37)) | v170(constB37))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24233,plain,
% 34.71/23.36 (((~v166(constB37)) | v170(constB37) | (~v163(constB37))) <=> ((~v163(constB37)) | (~v166(constB37)) | v170(constB37))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24234,plain,
% 34.71/23.36 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB37)) | v170(constB37) | (~v163(constB37)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB37)) | (~v166(constB37)) | v170(constB37)))),
% 34.71/23.36 inference(monotonicity,[status(thm)],[24233])).
% 34.71/23.36 tff(24235,plain,
% 34.71/23.36 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB37)) | v170(constB37) | (~v163(constB37)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB37)) | (~v166(constB37)) | v170(constB37))),
% 34.71/23.36 inference(transitivity,[status(thm)],[24234, 24232])).
% 34.71/23.36 tff(24236,plain,
% 34.71/23.36 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB37)) | v170(constB37) | (~v163(constB37)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24237,plain,
% 34.71/23.36 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB37)) | (~v166(constB37)) | v170(constB37)),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24236, 24235])).
% 34.71/23.36 tff(24238,plain,
% 34.71/23.36 (~v163(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24237, 23672, 24231, 24227])).
% 34.71/23.36 tff(24239,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB37) | (~v201(constB37)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB37) | (~v201(constB37)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24240,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB37) | (~v201(constB37)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24241,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB37) | (~v201(constB37))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24240, 24239])).
% 34.71/23.36 tff(24242,plain,
% 34.71/23.36 (~v201(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24241, 23686, 24238])).
% 34.71/23.36 tff(24243,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB37) | (~v200(constB37)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB37) | (~v200(constB37)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24244,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB37) | (~v200(constB37)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24245,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB37) | (~v200(constB37))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24244, 24243])).
% 34.71/23.36 tff(24246,plain,
% 34.71/23.36 (~v200(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24245, 23697, 24242])).
% 34.71/23.36 tff(24247,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB37) | (~v198(constB37)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB37) | (~v198(constB37)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24248,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB37) | (~v198(constB37)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24249,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB37) | (~v198(constB37))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24248, 24247])).
% 34.71/23.36 tff(24250,plain,
% 34.71/23.36 (~v198(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24249, 23708, 24246])).
% 34.71/23.36 tff(24251,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB37) | v198(constB37) | (~v191(constB37)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB37) | v198(constB37) | (~v191(constB37)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24252,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB37) | v198(constB37) | (~v191(constB37)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24253,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB37) | v198(constB37) | (~v191(constB37))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24252, 24251])).
% 34.71/23.36 tff(24254,plain,
% 34.71/23.36 (v194(constB37) | (~v191(constB37))),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24253, 23722, 24250])).
% 34.71/23.36 tff(24255,plain,
% 34.71/23.36 (~v191(constB37)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24254, 24196])).
% 34.71/23.36 tff(24256,plain,
% 34.71/23.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB37, constB38)) | v191(constB37) | (~v193(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB37, constB38)) | v191(constB37) | (~v193(constB38)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24257,plain,
% 34.71/23.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB37, constB38)) | v191(constB37) | (~v193(constB38)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24258,plain,
% 34.71/23.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB37, constB38)) | v191(constB37) | (~v193(constB38))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24257, 24256])).
% 34.71/23.36 tff(24259,plain,
% 34.71/23.36 (v191(constB37) | (~v193(constB38))),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24258, 23737, 7306])).
% 34.71/23.36 tff(24260,plain,
% 34.71/23.36 (~v193(constB38)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24259, 24255])).
% 34.71/23.36 tff(24261,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB38) | (~v194(constB38)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB38) | (~v194(constB38)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24262,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB38) | (~v194(constB38)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24263,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB38) | (~v194(constB38))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24262, 24261])).
% 34.71/23.36 tff(24264,plain,
% 34.71/23.36 (~v194(constB38)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24263, 23749, 24260])).
% 34.71/23.36 tff(24265,plain,
% 34.71/23.36 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB38)) | (~v197(constB38)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB38)) | (~v197(constB38)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24266,plain,
% 34.71/23.36 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB38)) | (~v197(constB38)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24267,plain,
% 34.71/23.36 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB38)) | (~v197(constB38))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24266, 24265])).
% 34.71/23.36 tff(24268,plain,
% 34.71/23.36 (~v197(constB38)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24267, 23760, 7396])).
% 34.71/23.36 tff(24269,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB38) | (~v200(constB38)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB38) | (~v200(constB38)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24270,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB38) | (~v200(constB38)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24271,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB38) | (~v200(constB38))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24270, 24269])).
% 34.71/23.36 tff(24272,plain,
% 34.71/23.36 (~v200(constB38)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24271, 23771, 24268])).
% 34.71/23.36 tff(24273,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB38) | (~v198(constB38)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB38) | (~v198(constB38)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24274,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB38) | (~v198(constB38)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24275,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB38) | (~v198(constB38))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24274, 24273])).
% 34.71/23.36 tff(24276,plain,
% 34.71/23.36 (~v198(constB38)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24275, 23708, 24272])).
% 34.71/23.36 tff(24277,plain,
% 34.71/23.36 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB38) | v198(constB38) | (~v191(constB38)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB38) | v198(constB38) | (~v191(constB38)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.71/23.36 tff(24278,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB38) | v198(constB38) | (~v191(constB38)))),
% 34.71/23.36 inference(quant_inst,[status(thm)],[])).
% 34.71/23.36 tff(24279,plain,
% 34.71/23.36 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB38) | v198(constB38) | (~v191(constB38))),
% 34.71/23.36 inference(modus_ponens,[status(thm)],[24278, 24277])).
% 34.71/23.36 tff(24280,plain,
% 34.71/23.36 (v194(constB38) | (~v191(constB38))),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24279, 23722, 24276])).
% 34.71/23.36 tff(24281,plain,
% 34.71/23.36 (~v191(constB38)),
% 34.71/23.36 inference(unit_resolution,[status(thm)],[24280, 24264])).
% 34.71/23.36 tff(24282,plain,
% 34.71/23.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB38, constB39)) | v191(constB38) | (~v193(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB38, constB39)) | v191(constB38) | (~v193(constB39)))),
% 34.71/23.36 inference(rewrite,[status(thm)],[])).
% 34.77/23.36 tff(24283,plain,
% 34.77/23.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB38, constB39)) | v191(constB38) | (~v193(constB39)))),
% 34.77/23.36 inference(quant_inst,[status(thm)],[])).
% 34.77/23.36 tff(24284,plain,
% 34.77/23.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB38, constB39)) | v191(constB38) | (~v193(constB39))),
% 34.77/23.36 inference(modus_ponens,[status(thm)],[24283, 24282])).
% 34.77/23.36 tff(24285,plain,
% 34.77/23.36 (v191(constB38) | (~v193(constB39))),
% 34.77/23.36 inference(unit_resolution,[status(thm)],[24284, 23737, 7426])).
% 34.77/23.36 tff(24286,plain,
% 34.77/23.36 (~v193(constB39)),
% 34.77/23.36 inference(unit_resolution,[status(thm)],[24285, 24281])).
% 34.77/23.36 tff(24287,assumption,(constB39 = sK0_VarCurr), introduced(assumption)).
% 34.77/23.36 tff(24288,plain,
% 34.77/23.36 (v193(constB39) <=> v193(sK0_VarCurr)),
% 34.77/23.36 inference(monotonicity,[status(thm)],[24287])).
% 34.77/23.36 tff(24289,plain,
% 34.77/23.36 (v193(sK0_VarCurr) <=> v193(constB39)),
% 34.77/23.36 inference(symmetry,[status(thm)],[24288])).
% 34.77/23.36 tff(24290,plain,
% 34.77/23.36 (v193(constB39)),
% 34.77/23.36 inference(modus_ponens,[status(thm)],[24025, 24289])).
% 34.77/23.36 tff(24291,assumption,(~v193(constB39)), introduced(assumption)).
% 34.77/23.36 tff(24292,plain,
% 34.77/23.36 ($false),
% 34.77/23.36 inference(unit_resolution,[status(thm)],[24291, 24290])).
% 34.77/23.36 tff(24293,plain,((~(constB39 = sK0_VarCurr)) | v193(constB39)), inference(lemma,lemma(discharge,[]))).
% 34.77/23.36 tff(24294,plain,
% 34.77/23.36 (~(constB39 = sK0_VarCurr)),
% 34.77/23.36 inference(unit_resolution,[status(thm)],[24293, 24286])).
% 34.77/23.36 tff(24295,assumption,(constB27 = sK0_VarCurr), introduced(assumption)).
% 34.77/23.36 tff(24296,plain,
% 34.77/23.36 (v193(constB27) <=> v193(sK0_VarCurr)),
% 34.77/23.36 inference(monotonicity,[status(thm)],[24295])).
% 34.77/23.36 tff(24297,plain,
% 34.77/23.36 (v193(sK0_VarCurr) <=> v193(constB27)),
% 34.77/23.36 inference(symmetry,[status(thm)],[24296])).
% 34.77/23.36 tff(24298,plain,
% 34.77/23.36 (v193(constB27)),
% 34.77/23.36 inference(modus_ponens,[status(thm)],[24025, 24297])).
% 34.77/23.36 tff(24299,assumption,(v18(constB26)), introduced(assumption)).
% 34.77/23.36 tff(24300,plain,
% 34.77/23.36 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB26))),
% 34.77/23.36 inference(quant_inst,[status(thm)],[])).
% 34.77/23.36 tff(24301,plain,
% 34.77/23.36 ($false),
% 34.77/23.36 inference(unit_resolution,[status(thm)],[24300, 8, 24299])).
% 34.77/23.36 tff(24302,plain,(~v18(constB26)), inference(lemma,lemma(discharge,[]))).
% 34.77/23.36 tff(24303,plain,
% 34.77/23.36 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26)))),
% 34.77/23.36 inference(rewrite,[status(thm)],[])).
% 34.77/23.36 tff(24304,plain,
% 34.77/23.36 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))),
% 34.77/23.36 inference(quant_inst,[status(thm)],[])).
% 34.77/23.36 tff(24305,plain,
% 34.77/23.36 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26))),
% 34.77/23.36 inference(modus_ponens,[status(thm)],[24304, 24303])).
% 34.77/23.36 tff(24306,plain,
% 34.77/23.36 (v22(constB26)),
% 34.77/23.36 inference(unit_resolution,[status(thm)],[24305, 21, 4222])).
% 34.77/23.36 tff(24307,plain,
% 34.77/23.36 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB26)) | (~v22(constB26)) | v18(constB26))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB26)) | (~v22(constB26)) | v18(constB26))),
% 34.77/23.36 inference(rewrite,[status(thm)],[])).
% 34.77/23.36 tff(24308,plain,
% 34.77/23.36 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB26)) | (~v22(constB26)) | v18(constB26))),
% 34.77/23.36 inference(quant_inst,[status(thm)],[])).
% 34.77/23.36 tff(24309,plain,
% 34.77/23.36 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB26)) | (~v22(constB26)) | v18(constB26)),
% 34.77/23.36 inference(modus_ponens,[status(thm)],[24308, 24307])).
% 34.77/23.36 tff(24310,plain,
% 34.77/23.36 ((~v19(constB26)) | v18(constB26)),
% 34.77/23.36 inference(unit_resolution,[status(thm)],[24309, 35, 24306])).
% 34.77/23.36 tff(24311,plain,
% 34.77/23.36 (~v19(constB26)),
% 34.77/23.36 inference(unit_resolution,[status(thm)],[24310, 24302])).
% 34.77/23.36 tff(24312,plain,
% 34.77/23.36 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26))),
% 34.77/23.36 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24313,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24314,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26)),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24313, 24312])).
% 34.77/23.37 tff(24315,plain,
% 34.77/23.37 (v13(constB26)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24314, 50, 24311])).
% 34.77/23.37 tff(24316,plain,
% 34.77/23.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24317,plain,
% 34.77/23.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24318,plain,
% 34.77/23.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25)),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24317, 24316])).
% 34.77/23.37 tff(24319,plain,
% 34.77/23.37 ((~v13(constB26)) | v9(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24318, 67, 4199])).
% 34.77/23.37 tff(24320,plain,
% 34.77/23.37 (v9(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24319, 24315])).
% 34.77/23.37 tff(24321,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v197(constB25))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB25) | (~v9(constB25)) | v197(constB25))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24322,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v197(constB25))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24323,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB25) | (~v9(constB25)) | v197(constB25)),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24322, 24321])).
% 34.77/23.37 tff(24324,plain,
% 34.77/23.37 ((~v9(constB25)) | v197(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24323, 85, 3882])).
% 34.77/23.37 tff(24325,plain,
% 34.77/23.37 (v197(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24324, 24320])).
% 34.77/23.37 tff(24326,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB25) | (~v197(constB25)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB25) | (~v197(constB25)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24327,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB25) | (~v197(constB25)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24328,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB25) | (~v197(constB25))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24327, 24326])).
% 34.77/23.37 tff(24329,plain,
% 34.77/23.37 (v196(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24328, 97, 24325])).
% 34.77/23.37 tff(24330,plain,
% 34.77/23.37 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB25)) | (~v194(constB25)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB25)) | (~v194(constB25)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24331,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB25)) | (~v194(constB25)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24332,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB25)) | (~v194(constB25))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24331, 24330])).
% 34.77/23.37 tff(24333,plain,
% 34.77/23.37 (~v194(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24332, 108, 24329])).
% 34.77/23.37 tff(24334,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB25, bitIndex0) | (~v88(constB25, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB25, bitIndex0) | (~v88(constB25, bitIndex0)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24335,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB25, bitIndex0) | (~v88(constB25, bitIndex0)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24336,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB25, bitIndex0) | (~v88(constB25, bitIndex0))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24335, 24334])).
% 34.77/23.37 tff(24337,plain,
% 34.77/23.37 (~v88(constB25, bitIndex0)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24336, 23593, 3983])).
% 34.77/23.37 tff(24338,plain,
% 34.77/23.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24339,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24340,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2)),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24339, 24338])).
% 34.77/23.37 tff(24341,plain,
% 34.77/23.37 (v88(constB25, bitIndex2)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24340, 23573, 3941])).
% 34.77/23.37 tff(24342,plain,
% 34.77/23.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24343,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24344,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1)),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24343, 24342])).
% 34.77/23.37 tff(24345,plain,
% 34.77/23.37 (v88(constB25, bitIndex1)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24344, 23528, 3906])).
% 34.77/23.37 tff(24346,plain,
% 34.77/23.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24347,plain,
% 34.77/23.37 (((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25)) <=> ((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24348,plain,
% 34.77/23.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25)))),
% 34.77/23.37 inference(monotonicity,[status(thm)],[24347])).
% 34.77/23.37 tff(24349,plain,
% 34.77/23.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))),
% 34.77/23.37 inference(transitivity,[status(thm)],[24348, 24346])).
% 34.77/23.37 tff(24350,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24351,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25)),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24350, 24349])).
% 34.77/23.37 tff(24352,plain,
% 34.77/23.37 (v144(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24351, 23607, 24345, 24341, 24337])).
% 34.77/23.37 tff(24353,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB25) | (~v144(constB25)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB25) | (~v144(constB25)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24354,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB25) | (~v144(constB25)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24355,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB25) | (~v144(constB25))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24354, 24353])).
% 34.77/23.37 tff(24356,plain,
% 34.77/23.37 (v142(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24355, 23622, 24352])).
% 34.77/23.37 tff(24357,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB25) | (~v142(constB25)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB25) | (~v142(constB25)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24358,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB25) | (~v142(constB25)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24359,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB25) | (~v142(constB25))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24358, 24357])).
% 34.77/23.37 tff(24360,plain,
% 34.77/23.37 (v167(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24359, 23633, 24356])).
% 34.77/23.37 tff(24361,plain,
% 34.77/23.37 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB25)) | (~v170(constB25)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB25)) | (~v170(constB25)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24362,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB25)) | (~v170(constB25)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24363,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB25)) | (~v170(constB25))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24362, 24361])).
% 34.77/23.37 tff(24364,plain,
% 34.77/23.37 (~v170(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24363, 23647, 24360])).
% 34.77/23.37 tff(24365,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB25) | (~v167(constB25)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB25) | (~v167(constB25)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24366,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB25) | (~v167(constB25)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24367,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB25) | (~v167(constB25))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24366, 24365])).
% 34.77/23.37 tff(24368,plain,
% 34.77/23.37 (v166(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24367, 23658, 24360])).
% 34.77/23.37 tff(24369,plain,
% 34.77/23.37 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB25)) | (~v166(constB25)) | v170(constB25))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB25)) | (~v166(constB25)) | v170(constB25))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24370,plain,
% 34.77/23.37 (((~v166(constB25)) | v170(constB25) | (~v163(constB25))) <=> ((~v163(constB25)) | (~v166(constB25)) | v170(constB25))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24371,plain,
% 34.77/23.37 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB25)) | v170(constB25) | (~v163(constB25)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB25)) | (~v166(constB25)) | v170(constB25)))),
% 34.77/23.37 inference(monotonicity,[status(thm)],[24370])).
% 34.77/23.37 tff(24372,plain,
% 34.77/23.37 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB25)) | v170(constB25) | (~v163(constB25)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB25)) | (~v166(constB25)) | v170(constB25))),
% 34.77/23.37 inference(transitivity,[status(thm)],[24371, 24369])).
% 34.77/23.37 tff(24373,plain,
% 34.77/23.37 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB25)) | v170(constB25) | (~v163(constB25)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24374,plain,
% 34.77/23.37 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB25)) | (~v166(constB25)) | v170(constB25)),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24373, 24372])).
% 34.77/23.37 tff(24375,plain,
% 34.77/23.37 (~v163(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24374, 23672, 24368, 24364])).
% 34.77/23.37 tff(24376,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB25) | (~v201(constB25)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB25) | (~v201(constB25)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24377,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB25) | (~v201(constB25)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24378,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB25) | (~v201(constB25))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24377, 24376])).
% 34.77/23.37 tff(24379,plain,
% 34.77/23.37 (~v201(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24378, 23686, 24375])).
% 34.77/23.37 tff(24380,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB25) | (~v200(constB25)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB25) | (~v200(constB25)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24381,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB25) | (~v200(constB25)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24382,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB25) | (~v200(constB25))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24381, 24380])).
% 34.77/23.37 tff(24383,plain,
% 34.77/23.37 (~v200(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24382, 23697, 24379])).
% 34.77/23.37 tff(24384,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB25) | (~v198(constB25)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB25) | (~v198(constB25)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24385,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB25) | (~v198(constB25)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24386,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB25) | (~v198(constB25))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24385, 24384])).
% 34.77/23.37 tff(24387,plain,
% 34.77/23.37 (~v198(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24386, 23708, 24383])).
% 34.77/23.37 tff(24388,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB25) | v198(constB25) | (~v191(constB25)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB25) | v198(constB25) | (~v191(constB25)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24389,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB25) | v198(constB25) | (~v191(constB25)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24390,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB25) | v198(constB25) | (~v191(constB25))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24389, 24388])).
% 34.77/23.37 tff(24391,plain,
% 34.77/23.37 (v194(constB25) | (~v191(constB25))),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24390, 23722, 24387])).
% 34.77/23.37 tff(24392,plain,
% 34.77/23.37 (~v191(constB25)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24391, 24333])).
% 34.77/23.37 tff(24393,plain,
% 34.77/23.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB25, constB26)) | v191(constB25) | (~v193(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB25, constB26)) | v191(constB25) | (~v193(constB26)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24394,plain,
% 34.77/23.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB25, constB26)) | v191(constB25) | (~v193(constB26)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24395,plain,
% 34.77/23.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB25, constB26)) | v191(constB25) | (~v193(constB26))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24394, 24393])).
% 34.77/23.37 tff(24396,plain,
% 34.77/23.37 (v191(constB25) | (~v193(constB26))),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24395, 23737, 4199])).
% 34.77/23.37 tff(24397,plain,
% 34.77/23.37 (~v193(constB26)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24396, 24392])).
% 34.77/23.37 tff(24398,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB26) | (~v194(constB26)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB26) | (~v194(constB26)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24399,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB26) | (~v194(constB26)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24400,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB26) | (~v194(constB26))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24399, 24398])).
% 34.77/23.37 tff(24401,plain,
% 34.77/23.37 (~v194(constB26)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24400, 23749, 24397])).
% 34.77/23.37 tff(24402,plain,
% 34.77/23.37 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB26)) | (~v197(constB26)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB26)) | (~v197(constB26)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24403,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB26)) | (~v197(constB26)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24404,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB26)) | (~v197(constB26))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24403, 24402])).
% 34.77/23.37 tff(24405,plain,
% 34.77/23.37 (~v197(constB26)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24404, 23760, 4222])).
% 34.77/23.37 tff(24406,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB26) | (~v200(constB26)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB26) | (~v200(constB26)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24407,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB26) | (~v200(constB26)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24408,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB26) | (~v200(constB26))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24407, 24406])).
% 34.77/23.37 tff(24409,plain,
% 34.77/23.37 (~v200(constB26)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24408, 23771, 24405])).
% 34.77/23.37 tff(24410,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB26) | (~v198(constB26)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB26) | (~v198(constB26)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24411,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB26) | (~v198(constB26)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24412,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB26) | (~v198(constB26))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24411, 24410])).
% 34.77/23.37 tff(24413,plain,
% 34.77/23.37 (~v198(constB26)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24412, 23708, 24409])).
% 34.77/23.37 tff(24414,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB26) | v198(constB26) | (~v191(constB26)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB26) | v198(constB26) | (~v191(constB26)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24415,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB26) | v198(constB26) | (~v191(constB26)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24416,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB26) | v198(constB26) | (~v191(constB26))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24415, 24414])).
% 34.77/23.37 tff(24417,plain,
% 34.77/23.37 (v194(constB26) | (~v191(constB26))),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24416, 23722, 24413])).
% 34.77/23.37 tff(24418,plain,
% 34.77/23.37 (~v191(constB26)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24417, 24401])).
% 34.77/23.37 tff(24419,plain,
% 34.77/23.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB26, constB27)) | v191(constB26) | (~v193(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB26, constB27)) | v191(constB26) | (~v193(constB27)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24420,plain,
% 34.77/23.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB26, constB27)) | v191(constB26) | (~v193(constB27)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24421,plain,
% 34.77/23.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB26, constB27)) | v191(constB26) | (~v193(constB27))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24420, 24419])).
% 34.77/23.37 tff(24422,plain,
% 34.77/23.37 (v191(constB26) | (~v193(constB27))),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24421, 23737, 4282])).
% 34.77/23.37 tff(24423,plain,
% 34.77/23.37 (~v193(constB27)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24422, 24418])).
% 34.77/23.37 tff(24424,plain,
% 34.77/23.37 ($false),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24423, 24298])).
% 34.77/23.37 tff(24425,plain,(~(constB27 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 34.77/23.37 tff(24426,assumption,(constB157 = sK0_VarCurr), introduced(assumption)).
% 34.77/23.37 tff(24427,plain,
% 34.77/23.37 (v86(constB157) <=> v86(sK0_VarCurr)),
% 34.77/23.37 inference(monotonicity,[status(thm)],[24426])).
% 34.77/23.37 tff(24428,plain,
% 34.77/23.37 (v86(sK0_VarCurr) <=> v86(constB157)),
% 34.77/23.37 inference(symmetry,[status(thm)],[24427])).
% 34.77/23.37 tff(24429,plain,
% 34.77/23.37 ((~v86(sK0_VarCurr)) <=> (~v86(constB157))),
% 34.77/23.37 inference(monotonicity,[status(thm)],[24428])).
% 34.77/23.37 tff(24430,plain,
% 34.77/23.37 (~v86(constB157)),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24067, 24429])).
% 34.77/23.37 tff(24431,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB157) | (~v142(constB157)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB157) | (~v142(constB157)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24432,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB157) | (~v142(constB157)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24433,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB157) | (~v142(constB157))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24432, 24431])).
% 34.77/23.37 tff(24434,plain,
% 34.77/23.37 (v148(constB157)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24433, 24122, 23626])).
% 34.77/23.37 tff(24435,plain,
% 34.77/23.37 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB157) | (~v166(constB157)) | (~v148(constB157)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB157) | (~v166(constB157)) | (~v148(constB157)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24436,plain,
% 34.77/23.37 (((~v148(constB157)) | (~v166(constB157)) | v86(constB157)) <=> (v86(constB157) | (~v166(constB157)) | (~v148(constB157)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24437,plain,
% 34.77/23.37 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB157)) | (~v166(constB157)) | v86(constB157))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB157) | (~v166(constB157)) | (~v148(constB157))))),
% 34.77/23.37 inference(monotonicity,[status(thm)],[24436])).
% 34.77/23.37 tff(24438,plain,
% 34.77/23.37 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB157)) | (~v166(constB157)) | v86(constB157))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB157) | (~v166(constB157)) | (~v148(constB157)))),
% 34.77/23.37 inference(transitivity,[status(thm)],[24437, 24435])).
% 34.77/23.37 tff(24439,plain,
% 34.77/23.37 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB157)) | (~v166(constB157)) | v86(constB157))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24440,plain,
% 34.77/23.37 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB157) | (~v166(constB157)) | (~v148(constB157))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24439, 24438])).
% 34.77/23.37 tff(24441,plain,
% 34.77/23.37 (v86(constB157)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24440, 24144, 23662, 24434])).
% 34.77/23.37 tff(24442,plain,
% 34.77/23.37 ($false),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24441, 24430])).
% 34.77/23.37 tff(24443,plain,(~(constB157 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 34.77/23.37 tff(24444,assumption,(constB121 = sK0_VarCurr), introduced(assumption)).
% 34.77/23.37 tff(24445,plain,
% 34.77/23.37 (v86(constB121) <=> v86(sK0_VarCurr)),
% 34.77/23.37 inference(monotonicity,[status(thm)],[24444])).
% 34.77/23.37 tff(24446,plain,
% 34.77/23.37 (v86(sK0_VarCurr) <=> v86(constB121)),
% 34.77/23.37 inference(symmetry,[status(thm)],[24445])).
% 34.77/23.37 tff(24447,plain,
% 34.77/23.37 ((~v86(sK0_VarCurr)) <=> (~v86(constB121))),
% 34.77/23.37 inference(monotonicity,[status(thm)],[24446])).
% 34.77/23.37 tff(24448,plain,
% 34.77/23.37 (~v86(constB121)),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24067, 24447])).
% 34.77/23.37 tff(24449,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB121, bitIndex0) | (~v88(constB121, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB121, bitIndex0) | (~v88(constB121, bitIndex0)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24450,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB121, bitIndex0) | (~v88(constB121, bitIndex0)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24451,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB121, bitIndex0) | (~v88(constB121, bitIndex0))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24450, 24449])).
% 34.77/23.37 tff(24452,plain,
% 34.77/23.37 (~v88(constB121, bitIndex0)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24451, 23593, 18194])).
% 34.77/23.37 tff(24453,plain,
% 34.77/23.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24454,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24455,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2)),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24454, 24453])).
% 34.77/23.37 tff(24456,plain,
% 34.77/23.37 (v88(constB121, bitIndex2)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24455, 23573, 18129])).
% 34.77/23.37 tff(24457,plain,
% 34.77/23.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24458,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24459,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1)),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24458, 24457])).
% 34.77/23.37 tff(24460,plain,
% 34.77/23.37 (v88(constB121, bitIndex1)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24459, 23528, 18160])).
% 34.77/23.37 tff(24461,plain,
% 34.77/23.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24462,plain,
% 34.77/23.37 (((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121)) <=> ((~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24463,plain,
% 34.77/23.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0)))),
% 34.77/23.37 inference(monotonicity,[status(thm)],[24462])).
% 34.77/23.37 tff(24464,plain,
% 34.77/23.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0))),
% 34.77/23.37 inference(transitivity,[status(thm)],[24463, 24461])).
% 34.77/23.37 tff(24465,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24466,plain,
% 34.77/23.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0)),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24465, 24464])).
% 34.77/23.37 tff(24467,plain,
% 34.77/23.37 (v144(constB121)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24466, 23607, 24460, 24456, 24452])).
% 34.77/23.37 tff(24468,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB121) | (~v144(constB121)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB121) | (~v144(constB121)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24469,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB121) | (~v144(constB121)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24470,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB121) | (~v144(constB121))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24469, 24468])).
% 34.77/23.37 tff(24471,plain,
% 34.77/23.37 (v142(constB121)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24470, 23622, 24467])).
% 34.77/23.37 tff(24472,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB121) | (~v142(constB121)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB121) | (~v142(constB121)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24473,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB121) | (~v142(constB121)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24474,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB121) | (~v142(constB121))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24473, 24472])).
% 34.77/23.37 tff(24475,plain,
% 34.77/23.37 (v148(constB121)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24474, 24122, 24471])).
% 34.77/23.37 tff(24476,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB121) | (~v142(constB121)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB121) | (~v142(constB121)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24477,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB121) | (~v142(constB121)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24478,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB121) | (~v142(constB121))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24477, 24476])).
% 34.77/23.37 tff(24479,plain,
% 34.77/23.37 (v167(constB121)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24478, 23633, 24471])).
% 34.77/23.37 tff(24480,plain,
% 34.77/23.37 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB121) | (~v167(constB121)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB121) | (~v167(constB121)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24481,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB121) | (~v167(constB121)))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24482,plain,
% 34.77/23.37 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB121) | (~v167(constB121))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24481, 24480])).
% 34.77/23.37 tff(24483,plain,
% 34.77/23.37 (v166(constB121)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24482, 23658, 24479])).
% 34.77/23.37 tff(24484,plain,
% 34.77/23.37 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB121) | (~v166(constB121)) | (~v148(constB121)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB121) | (~v166(constB121)) | (~v148(constB121)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24485,plain,
% 34.77/23.37 (((~v148(constB121)) | (~v166(constB121)) | v86(constB121)) <=> (v86(constB121) | (~v166(constB121)) | (~v148(constB121)))),
% 34.77/23.37 inference(rewrite,[status(thm)],[])).
% 34.77/23.37 tff(24486,plain,
% 34.77/23.37 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB121)) | (~v166(constB121)) | v86(constB121))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB121) | (~v166(constB121)) | (~v148(constB121))))),
% 34.77/23.37 inference(monotonicity,[status(thm)],[24485])).
% 34.77/23.37 tff(24487,plain,
% 34.77/23.37 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB121)) | (~v166(constB121)) | v86(constB121))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB121) | (~v166(constB121)) | (~v148(constB121)))),
% 34.77/23.37 inference(transitivity,[status(thm)],[24486, 24484])).
% 34.77/23.37 tff(24488,plain,
% 34.77/23.37 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB121)) | (~v166(constB121)) | v86(constB121))),
% 34.77/23.37 inference(quant_inst,[status(thm)],[])).
% 34.77/23.37 tff(24489,plain,
% 34.77/23.37 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB121) | (~v166(constB121)) | (~v148(constB121))),
% 34.77/23.37 inference(modus_ponens,[status(thm)],[24488, 24487])).
% 34.77/23.37 tff(24490,plain,
% 34.77/23.37 (v86(constB121)),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24489, 24144, 24483, 24475])).
% 34.77/23.37 tff(24491,plain,
% 34.77/23.37 ($false),
% 34.77/23.37 inference(unit_resolution,[status(thm)],[24490, 24448])).
% 34.77/23.37 tff(24492,plain,(~(constB121 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 34.77/23.38 tff(24493,assumption,(v18(constB62)), introduced(assumption)).
% 34.77/23.38 tff(24494,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB62))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24495,plain,
% 34.77/23.38 ($false),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24494, 8, 24493])).
% 34.77/23.38 tff(24496,plain,(~v18(constB62)), inference(lemma,lemma(discharge,[]))).
% 34.77/23.38 tff(24497,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24498,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24499,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24498, 24497])).
% 34.77/23.38 tff(24500,plain,
% 34.77/23.38 (v22(constB62)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24499, 21, 10069])).
% 34.77/23.38 tff(24501,plain,
% 34.77/23.38 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB62)) | (~v22(constB62)) | v18(constB62))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB62)) | (~v22(constB62)) | v18(constB62))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24502,plain,
% 34.77/23.38 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB62)) | (~v22(constB62)) | v18(constB62))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24503,plain,
% 34.77/23.38 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB62)) | (~v22(constB62)) | v18(constB62)),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24502, 24501])).
% 34.77/23.38 tff(24504,plain,
% 34.77/23.38 ((~v19(constB62)) | v18(constB62)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24503, 35, 24500])).
% 34.77/23.38 tff(24505,plain,
% 34.77/23.38 (~v19(constB62)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24504, 24496])).
% 34.77/23.38 tff(24506,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24507,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24508,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62)),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24507, 24506])).
% 34.77/23.38 tff(24509,plain,
% 34.77/23.38 (v13(constB62)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24508, 50, 24505])).
% 34.77/23.38 tff(24510,plain,
% 34.77/23.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24511,plain,
% 34.77/23.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24512,plain,
% 34.77/23.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61)),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24511, 24510])).
% 34.77/23.38 tff(24513,plain,
% 34.77/23.38 ((~v13(constB62)) | v9(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24512, 67, 9998])).
% 34.77/23.38 tff(24514,plain,
% 34.77/23.38 (v9(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24513, 24509])).
% 34.77/23.38 tff(24515,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v197(constB61))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB61) | (~v9(constB61)) | v197(constB61))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24516,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v197(constB61))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24517,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB61) | (~v9(constB61)) | v197(constB61)),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24516, 24515])).
% 34.77/23.38 tff(24518,plain,
% 34.77/23.38 ((~v9(constB61)) | v197(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24517, 85, 9800])).
% 34.77/23.38 tff(24519,plain,
% 34.77/23.38 (v197(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24518, 24514])).
% 34.77/23.38 tff(24520,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB61) | (~v197(constB61)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB61) | (~v197(constB61)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24521,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB61) | (~v197(constB61)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24522,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB61) | (~v197(constB61))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24521, 24520])).
% 34.77/23.38 tff(24523,plain,
% 34.77/23.38 (v196(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24522, 97, 24519])).
% 34.77/23.38 tff(24524,plain,
% 34.77/23.38 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB61)) | (~v196(constB61)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB61)) | (~v196(constB61)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24525,plain,
% 34.77/23.38 (((~v196(constB61)) | (~v194(constB61))) <=> ((~v194(constB61)) | (~v196(constB61)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24526,plain,
% 34.77/23.38 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB61)) | (~v194(constB61)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB61)) | (~v196(constB61))))),
% 34.77/23.38 inference(monotonicity,[status(thm)],[24525])).
% 34.77/23.38 tff(24527,plain,
% 34.77/23.38 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB61)) | (~v194(constB61)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB61)) | (~v196(constB61)))),
% 34.77/23.38 inference(transitivity,[status(thm)],[24526, 24524])).
% 34.77/23.38 tff(24528,plain,
% 34.77/23.38 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB61)) | (~v194(constB61)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24529,plain,
% 34.77/23.38 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB61)) | (~v196(constB61))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24528, 24527])).
% 34.77/23.38 tff(24530,plain,
% 34.77/23.38 (~v194(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24529, 108, 24523])).
% 34.77/23.38 tff(24531,plain,
% 34.77/23.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24532,plain,
% 34.77/23.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24533,plain,
% 34.77/23.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1)),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24532, 24531])).
% 34.77/23.38 tff(24534,plain,
% 34.77/23.38 (v88(constB61, bitIndex1)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24533, 23528, 9824])).
% 34.77/23.38 tff(24535,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB61, bitIndex0) | (~v88(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB61, bitIndex0) | (~v88(constB61, bitIndex0)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24536,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB61, bitIndex0) | (~v88(constB61, bitIndex0)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24537,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB61, bitIndex0) | (~v88(constB61, bitIndex0))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24536, 24535])).
% 34.77/23.38 tff(24538,plain,
% 34.77/23.38 (~v88(constB61, bitIndex0)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24537, 23593, 10017])).
% 34.77/23.38 tff(24539,plain,
% 34.77/23.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex2)) | v88(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB61, bitIndex2)) | v88(constB61, bitIndex2))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24540,plain,
% 34.77/23.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex2)) | v88(constB61, bitIndex2))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24541,plain,
% 34.77/23.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB61, bitIndex2)) | v88(constB61, bitIndex2)),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24540, 24539])).
% 34.77/23.38 tff(24542,plain,
% 34.77/23.38 (v88(constB61, bitIndex2)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24541, 23573, 9959])).
% 34.77/23.38 tff(24543,plain,
% 34.77/23.38 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24544,plain,
% 34.77/23.38 (((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61)) <=> ((~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24545,plain,
% 34.77/23.38 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0)))),
% 34.77/23.38 inference(monotonicity,[status(thm)],[24544])).
% 34.77/23.38 tff(24546,plain,
% 34.77/23.38 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))),
% 34.77/23.38 inference(transitivity,[status(thm)],[24545, 24543])).
% 34.77/23.38 tff(24547,plain,
% 34.77/23.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24548,plain,
% 34.77/23.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0)),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24547, 24546])).
% 34.77/23.38 tff(24549,plain,
% 34.77/23.38 (v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24548, 23607, 24542])).
% 34.77/23.38 tff(24550,plain,
% 34.77/23.38 (v144(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24549, 24538, 24534])).
% 34.77/23.38 tff(24551,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB61) | (~v144(constB61)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB61) | (~v144(constB61)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24552,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB61) | (~v144(constB61)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24553,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB61) | (~v144(constB61))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24552, 24551])).
% 34.77/23.38 tff(24554,plain,
% 34.77/23.38 (v142(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24553, 23622, 24550])).
% 34.77/23.38 tff(24555,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB61) | (~v142(constB61)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB61) | (~v142(constB61)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24556,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB61) | (~v142(constB61)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24557,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB61) | (~v142(constB61))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24556, 24555])).
% 34.77/23.38 tff(24558,plain,
% 34.77/23.38 (v167(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24557, 23633, 24554])).
% 34.77/23.38 tff(24559,plain,
% 34.77/23.38 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB61)) | (~v170(constB61)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB61)) | (~v170(constB61)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24560,plain,
% 34.77/23.38 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB61)) | (~v170(constB61)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24561,plain,
% 34.77/23.38 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB61)) | (~v170(constB61))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24560, 24559])).
% 34.77/23.38 tff(24562,plain,
% 34.77/23.38 (~v170(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24561, 23647, 24558])).
% 34.77/23.38 tff(24563,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB61) | (~v167(constB61)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB61) | (~v167(constB61)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24564,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB61) | (~v167(constB61)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24565,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB61) | (~v167(constB61))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24564, 24563])).
% 34.77/23.38 tff(24566,plain,
% 34.77/23.38 (v166(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24565, 23658, 24558])).
% 34.77/23.38 tff(24567,plain,
% 34.77/23.38 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB61)) | v170(constB61) | (~v166(constB61)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB61)) | v170(constB61) | (~v166(constB61)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24568,plain,
% 34.77/23.38 (((~v166(constB61)) | v170(constB61) | (~v163(constB61))) <=> ((~v163(constB61)) | v170(constB61) | (~v166(constB61)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24569,plain,
% 34.77/23.38 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB61)) | v170(constB61) | (~v163(constB61)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB61)) | v170(constB61) | (~v166(constB61))))),
% 34.77/23.38 inference(monotonicity,[status(thm)],[24568])).
% 34.77/23.38 tff(24570,plain,
% 34.77/23.38 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB61)) | v170(constB61) | (~v163(constB61)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB61)) | v170(constB61) | (~v166(constB61)))),
% 34.77/23.38 inference(transitivity,[status(thm)],[24569, 24567])).
% 34.77/23.38 tff(24571,plain,
% 34.77/23.38 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB61)) | v170(constB61) | (~v163(constB61)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24572,plain,
% 34.77/23.38 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB61)) | v170(constB61) | (~v166(constB61))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24571, 24570])).
% 34.77/23.38 tff(24573,plain,
% 34.77/23.38 (~v163(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24572, 23672, 24566, 24562])).
% 34.77/23.38 tff(24574,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB61) | (~v201(constB61)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB61) | (~v201(constB61)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24575,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB61) | (~v201(constB61)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24576,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB61) | (~v201(constB61))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24575, 24574])).
% 34.77/23.38 tff(24577,plain,
% 34.77/23.38 (~v201(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24576, 23686, 24573])).
% 34.77/23.38 tff(24578,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB61) | (~v200(constB61)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB61) | (~v200(constB61)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24579,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB61) | (~v200(constB61)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24580,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB61) | (~v200(constB61))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24579, 24578])).
% 34.77/23.38 tff(24581,plain,
% 34.77/23.38 (~v200(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24580, 23697, 24577])).
% 34.77/23.38 tff(24582,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB61) | (~v198(constB61)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB61) | (~v198(constB61)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24583,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB61) | (~v198(constB61)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24584,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB61) | (~v198(constB61))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24583, 24582])).
% 34.77/23.38 tff(24585,plain,
% 34.77/23.38 (~v198(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24584, 23708, 24581])).
% 34.77/23.38 tff(24586,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB61) | v198(constB61) | (~v191(constB61)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB61) | v198(constB61) | (~v191(constB61)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24587,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB61) | v198(constB61) | (~v191(constB61)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24588,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB61) | v198(constB61) | (~v191(constB61))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24587, 24586])).
% 34.77/23.38 tff(24589,plain,
% 34.77/23.38 (v194(constB61) | (~v191(constB61))),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24588, 23722, 24585])).
% 34.77/23.38 tff(24590,plain,
% 34.77/23.38 (~v191(constB61)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24589, 24530])).
% 34.77/23.38 tff(24591,plain,
% 34.77/23.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB61, constB62)) | v191(constB61) | (~v193(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB61, constB62)) | v191(constB61) | (~v193(constB62)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24592,plain,
% 34.77/23.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB61, constB62)) | v191(constB61) | (~v193(constB62)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24593,plain,
% 34.77/23.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB61, constB62)) | v191(constB61) | (~v193(constB62))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24592, 24591])).
% 34.77/23.38 tff(24594,plain,
% 34.77/23.38 (v191(constB61) | (~v193(constB62))),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24593, 23737, 9998])).
% 34.77/23.38 tff(24595,plain,
% 34.77/23.38 (~v193(constB62)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24594, 24590])).
% 34.77/23.38 tff(24596,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB62) | (~v194(constB62)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB62) | (~v194(constB62)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24597,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB62) | (~v194(constB62)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24598,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB62) | (~v194(constB62))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24597, 24596])).
% 34.77/23.38 tff(24599,plain,
% 34.77/23.38 (~v194(constB62)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24598, 23749, 24595])).
% 34.77/23.38 tff(24600,plain,
% 34.77/23.38 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB62)) | (~v197(constB62)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB62)) | (~v197(constB62)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24601,plain,
% 34.77/23.38 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB62)) | (~v197(constB62)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24602,plain,
% 34.77/23.38 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB62)) | (~v197(constB62))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24601, 24600])).
% 34.77/23.38 tff(24603,plain,
% 34.77/23.38 (~v197(constB62)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24602, 23760, 10069])).
% 34.77/23.38 tff(24604,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB62) | (~v200(constB62)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB62) | (~v200(constB62)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24605,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB62) | (~v200(constB62)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24606,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB62) | (~v200(constB62))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24605, 24604])).
% 34.77/23.38 tff(24607,plain,
% 34.77/23.38 (~v200(constB62)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24606, 23771, 24603])).
% 34.77/23.38 tff(24608,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB62) | (~v198(constB62)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB62) | (~v198(constB62)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24609,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB62) | (~v198(constB62)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24610,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB62) | (~v198(constB62))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24609, 24608])).
% 34.77/23.38 tff(24611,plain,
% 34.77/23.38 (~v198(constB62)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24610, 23708, 24607])).
% 34.77/23.38 tff(24612,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB62) | v198(constB62) | (~v191(constB62)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB62) | v198(constB62) | (~v191(constB62)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24613,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB62) | v198(constB62) | (~v191(constB62)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24614,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB62) | v198(constB62) | (~v191(constB62))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24613, 24612])).
% 34.77/23.38 tff(24615,plain,
% 34.77/23.38 (v194(constB62) | (~v191(constB62))),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24614, 23722, 24611])).
% 34.77/23.38 tff(24616,plain,
% 34.77/23.38 (~v191(constB62)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24615, 24599])).
% 34.77/23.38 tff(24617,plain,
% 34.77/23.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB62, constB63)) | v191(constB62) | (~v193(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB62, constB63)) | v191(constB62) | (~v193(constB63)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24618,plain,
% 34.77/23.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB62, constB63)) | v191(constB62) | (~v193(constB63)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24619,plain,
% 34.77/23.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB62, constB63)) | v191(constB62) | (~v193(constB63))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24618, 24617])).
% 34.77/23.38 tff(24620,plain,
% 34.77/23.38 (v191(constB62) | (~v193(constB63))),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24619, 23737, 10099])).
% 34.77/23.38 tff(24621,plain,
% 34.77/23.38 (~v193(constB63)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24620, 24616])).
% 34.77/23.38 tff(24622,assumption,(constB63 = sK0_VarCurr), introduced(assumption)).
% 34.77/23.38 tff(24623,plain,
% 34.77/23.38 (v193(constB63) <=> v193(sK0_VarCurr)),
% 34.77/23.38 inference(monotonicity,[status(thm)],[24622])).
% 34.77/23.38 tff(24624,plain,
% 34.77/23.38 (v193(sK0_VarCurr) <=> v193(constB63)),
% 34.77/23.38 inference(symmetry,[status(thm)],[24623])).
% 34.77/23.38 tff(24625,plain,
% 34.77/23.38 (v193(constB63)),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24025, 24624])).
% 34.77/23.38 tff(24626,assumption,(~v193(constB63)), introduced(assumption)).
% 34.77/23.38 tff(24627,plain,
% 34.77/23.38 ($false),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24626, 24625])).
% 34.77/23.38 tff(24628,plain,((~(constB63 = sK0_VarCurr)) | v193(constB63)), inference(lemma,lemma(discharge,[]))).
% 34.77/23.38 tff(24629,plain,
% 34.77/23.38 (~(constB63 = sK0_VarCurr)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24628, 24621])).
% 34.77/23.38 tff(24630,assumption,(constB169 = sK0_VarCurr), introduced(assumption)).
% 34.77/23.38 tff(24631,plain,
% 34.77/23.38 (v86(constB169) <=> v86(sK0_VarCurr)),
% 34.77/23.38 inference(monotonicity,[status(thm)],[24630])).
% 34.77/23.38 tff(24632,plain,
% 34.77/23.38 (v86(sK0_VarCurr) <=> v86(constB169)),
% 34.77/23.38 inference(symmetry,[status(thm)],[24631])).
% 34.77/23.38 tff(24633,plain,
% 34.77/23.38 ((~v86(sK0_VarCurr)) <=> (~v86(constB169))),
% 34.77/23.38 inference(monotonicity,[status(thm)],[24632])).
% 34.77/23.38 tff(24634,plain,
% 34.77/23.38 (~v86(constB169)),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24067, 24633])).
% 34.77/23.38 tff(24635,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24636,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24637,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157)),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24636, 24635])).
% 34.77/23.38 tff(24638,plain,
% 34.77/23.38 ((~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24637, 2321, 23586])).
% 34.77/23.38 tff(24639,plain,
% 34.77/23.38 (v125(constB157)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24638, 23563, 23518])).
% 34.77/23.38 tff(24640,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB157) | (~v125(constB157)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB157) | (~v125(constB157)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24641,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB157) | (~v125(constB157)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24642,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB157) | (~v125(constB157))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24641, 24640])).
% 34.77/23.38 tff(24643,plain,
% 34.77/23.38 (v113(constB157)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24642, 2332, 24639])).
% 34.77/23.38 tff(24644,assumption,(v26(constB157)), introduced(assumption)).
% 34.77/23.38 tff(24645,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB157))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24646,plain,
% 34.77/23.38 ($false),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24645, 120, 24644])).
% 34.77/23.38 tff(24647,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 34.77/23.38 tff(24648,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24649,plain,
% 34.77/23.38 ((v26(constB157) | (~v113(constB157)) | v112(constB157)) <=> (v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24650,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157))))),
% 34.77/23.38 inference(monotonicity,[status(thm)],[24649])).
% 34.77/23.38 tff(24651,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 34.77/23.38 inference(transitivity,[status(thm)],[24650, 24648])).
% 34.77/23.38 tff(24652,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24653,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24652, 24651])).
% 34.77/23.38 tff(24654,plain,
% 34.77/23.38 (v112(constB157) | (~v113(constB157))),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24653, 556, 24647])).
% 34.77/23.38 tff(24655,plain,
% 34.77/23.38 (v112(constB157)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24654, 24643])).
% 34.77/23.38 tff(24656,plain,
% 34.77/23.38 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB157) | (~v112(constB157)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB157) | (~v112(constB157)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24657,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB157) | (~v112(constB157)))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24658,plain,
% 34.77/23.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB157) | (~v112(constB157))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24657, 24656])).
% 34.77/23.38 tff(24659,plain,
% 34.77/23.38 (v108(constB157)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24658, 568, 24655])).
% 34.77/23.38 tff(24660,plain,
% 34.77/23.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24661,plain,
% 34.77/23.38 (((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158)) <=> ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24662,plain,
% 34.77/23.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))))),
% 34.77/23.38 inference(monotonicity,[status(thm)],[24661])).
% 34.77/23.38 tff(24663,plain,
% 34.77/23.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 34.77/23.38 inference(transitivity,[status(thm)],[24662, 24660])).
% 34.77/23.38 tff(24664,plain,
% 34.77/23.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24665,plain,
% 34.77/23.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24664, 24663])).
% 34.77/23.38 tff(24666,plain,
% 34.77/23.38 (v110(constB158) | (~v108(constB157))),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24665, 585, 57])).
% 34.77/23.38 tff(24667,plain,
% 34.77/23.38 (v110(constB158)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24666, 24659])).
% 34.77/23.38 tff(24668,plain,
% 34.77/23.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24669,plain,
% 34.77/23.38 (((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158)) <=> ((~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))),
% 34.77/23.38 inference(rewrite,[status(thm)],[])).
% 34.77/23.38 tff(24670,plain,
% 34.77/23.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | v102(constB158)))),
% 34.77/23.38 inference(monotonicity,[status(thm)],[24669])).
% 34.77/23.38 tff(24671,plain,
% 34.77/23.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))),
% 34.77/23.38 inference(transitivity,[status(thm)],[24670, 24668])).
% 34.77/23.38 tff(24672,plain,
% 34.77/23.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 34.77/23.38 inference(quant_inst,[status(thm)],[])).
% 34.77/23.38 tff(24673,plain,
% 34.77/23.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | v102(constB158)),
% 34.77/23.38 inference(modus_ponens,[status(thm)],[24672, 24671])).
% 34.77/23.38 tff(24674,plain,
% 34.77/23.38 (v104(constB158) | v102(constB158)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24673, 617, 57])).
% 34.77/23.38 tff(24675,plain,
% 34.77/23.38 (v102(constB158)),
% 34.77/23.38 inference(unit_resolution,[status(thm)],[24674, 23818])).
% 34.77/23.38 tff(24676,plain,
% 34.77/23.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24677,plain,
% 34.77/23.39 (((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158))) <=> ((~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24678,plain,
% 34.77/23.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158))))),
% 34.77/23.39 inference(monotonicity,[status(thm)],[24677])).
% 34.77/23.39 tff(24679,plain,
% 34.77/23.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))),
% 34.77/23.39 inference(transitivity,[status(thm)],[24678, 24676])).
% 34.77/23.39 tff(24680,plain,
% 34.77/23.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24681,plain,
% 34.77/23.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24680, 24679])).
% 34.77/23.39 tff(24682,plain,
% 34.77/23.39 (v101(constB158) | (~v102(constB158))),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24681, 638, 57, 14])).
% 34.77/23.39 tff(24683,plain,
% 34.77/23.39 (v101(constB158)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24682, 24675])).
% 34.77/23.39 tff(24684,plain,
% 34.77/23.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24685,plain,
% 34.77/23.39 (((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158)) <=> ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24686,plain,
% 34.77/23.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))))),
% 34.77/23.39 inference(monotonicity,[status(thm)],[24685])).
% 34.77/23.39 tff(24687,plain,
% 34.77/23.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 34.77/23.39 inference(transitivity,[status(thm)],[24686, 24684])).
% 34.77/23.39 tff(24688,plain,
% 34.77/23.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24689,plain,
% 34.77/23.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24688, 24687])).
% 34.77/23.39 tff(24690,plain,
% 34.77/23.39 (v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24689, 656, 57])).
% 34.77/23.39 tff(24691,plain,
% 34.77/23.39 (v100(constB158) | (~v110(constB158))),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24690, 24683])).
% 34.77/23.39 tff(24692,plain,
% 34.77/23.39 (v100(constB158)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24691, 24667])).
% 34.77/23.39 tff(24693,plain,
% 34.77/23.39 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v90(constB157, bitIndex1)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24694,plain,
% 34.77/23.39 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex1)))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24695,plain,
% 34.77/23.39 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v90(constB157, bitIndex1))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24694, 24693])).
% 34.77/23.39 tff(24696,plain,
% 34.77/23.39 (~v119(constB157)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24695, 2230, 23518])).
% 34.77/23.39 tff(24697,plain,
% 34.77/23.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB157, bitIndex2)) | (~v121(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB157, bitIndex2)) | (~v121(constB157)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24698,plain,
% 34.77/23.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB157, bitIndex2)) | (~v121(constB157)))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24699,plain,
% 34.77/23.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB157, bitIndex2)) | (~v121(constB157))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24698, 24697])).
% 34.77/23.39 tff(24700,plain,
% 34.77/23.39 (~v121(constB157)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24699, 2216, 23563])).
% 34.77/23.39 tff(24701,plain,
% 34.77/23.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v123(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v123(constB157)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24702,plain,
% 34.77/23.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v123(constB157)))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24703,plain,
% 34.77/23.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v123(constB157))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24702, 24701])).
% 34.77/23.39 tff(24704,plain,
% 34.77/23.39 (~v123(constB157)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24703, 2194, 23518])).
% 34.77/23.39 tff(24705,plain,
% 34.77/23.39 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB157, bitIndex0) | (~v120(constB157)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB157, bitIndex0) | (~v120(constB157)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24706,plain,
% 34.77/23.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB157, bitIndex0) | (~v120(constB157)))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24707,plain,
% 34.77/23.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB157, bitIndex0) | (~v120(constB157))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24706, 24705])).
% 34.77/23.39 tff(24708,plain,
% 34.77/23.39 (~v120(constB157)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24707, 12917, 23586])).
% 34.77/23.39 tff(24709,plain,
% 34.77/23.39 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB157, bitIndex0) | (~v122(constB157)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB157, bitIndex0) | (~v122(constB157)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24710,plain,
% 34.77/23.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB157, bitIndex0) | (~v122(constB157)))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24711,plain,
% 34.77/23.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB157, bitIndex0) | (~v122(constB157))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24710, 24709])).
% 34.77/23.39 tff(24712,plain,
% 34.77/23.39 (~v122(constB157)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24711, 10703, 23586])).
% 34.77/23.39 tff(24713,plain,
% 34.77/23.39 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB157, bitIndex0) | (~v124(constB157)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB157, bitIndex0) | (~v124(constB157)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24714,plain,
% 34.77/23.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB157, bitIndex0) | (~v124(constB157)))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24715,plain,
% 34.77/23.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB157, bitIndex0) | (~v124(constB157))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24714, 24713])).
% 34.77/23.39 tff(24716,plain,
% 34.77/23.39 (~v124(constB157)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24715, 12932, 23586])).
% 34.77/23.39 tff(24717,plain,
% 34.77/23.39 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24718,plain,
% 34.77/23.39 ((v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2))) <=> (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24719,plain,
% 34.77/23.39 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2))))),
% 34.77/23.39 inference(monotonicity,[status(thm)],[24718])).
% 34.77/23.39 tff(24720,plain,
% 34.77/23.39 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2)))),
% 34.77/23.39 inference(transitivity,[status(thm)],[24719, 24717])).
% 34.77/23.39 tff(24721,plain,
% 34.77/23.39 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24722,plain,
% 34.77/23.39 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24721, 24720])).
% 34.77/23.39 tff(24723,plain,
% 34.77/23.39 (v123(constB157) | v121(constB157) | v119(constB157) | (~v130(constB157, bitIndex2))),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24722, 2244, 24716, 24712, 24708])).
% 34.77/23.39 tff(24724,plain,
% 34.77/23.39 (~v130(constB157, bitIndex2)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24723, 24704, 24700, 24696])).
% 34.77/23.39 tff(24725,plain,
% 34.77/23.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24726,plain,
% 34.77/23.39 ((v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2))) <=> ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24727,plain,
% 34.77/23.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)))),
% 34.77/23.39 inference(monotonicity,[status(thm)],[24726])).
% 34.77/23.39 tff(24728,plain,
% 34.77/23.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 34.77/23.39 inference(transitivity,[status(thm)],[24727, 24725])).
% 34.77/23.39 tff(24729,plain,
% 34.77/23.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24730,plain,
% 34.77/23.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24729, 24728])).
% 34.77/23.39 tff(24731,plain,
% 34.77/23.39 ((~v127(constB157, bitIndex2)) | v130(constB157, bitIndex2)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24730, 689, 24647])).
% 34.77/23.39 tff(24732,plain,
% 34.77/23.39 (~v127(constB157, bitIndex2)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24731, 24724])).
% 34.77/23.39 tff(24733,plain,
% 34.77/23.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24734,plain,
% 34.77/23.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24735,plain,
% 34.77/23.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24734, 24733])).
% 34.77/23.39 tff(24736,plain,
% 34.77/23.39 (v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24735, 707, 57])).
% 34.77/23.39 tff(24737,plain,
% 34.77/23.39 (~v129(constB158, bitIndex2)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24736, 24732])).
% 34.77/23.39 tff(24738,plain,
% 34.77/23.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24739,plain,
% 34.77/23.39 (((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2)) <=> ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24740,plain,
% 34.77/23.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158))))),
% 34.77/23.39 inference(monotonicity,[status(thm)],[24739])).
% 34.77/23.39 tff(24741,plain,
% 34.77/23.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 34.77/23.39 inference(transitivity,[status(thm)],[24740, 24738])).
% 34.77/23.39 tff(24742,plain,
% 34.77/23.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24743,plain,
% 34.77/23.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24742, 24741])).
% 34.77/23.39 tff(24744,plain,
% 34.77/23.39 ((~v90(constB158, bitIndex2)) | (~v100(constB158))),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24743, 722, 24737])).
% 34.77/23.39 tff(24745,plain,
% 34.77/23.39 (~v90(constB158, bitIndex2)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24744, 24692])).
% 34.77/23.39 tff(24746,plain,
% 34.77/23.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24747,plain,
% 34.77/23.39 (((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24748,plain,
% 34.77/23.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))))),
% 34.77/23.39 inference(monotonicity,[status(thm)],[24747])).
% 34.77/23.39 tff(24749,plain,
% 34.77/23.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 34.77/23.39 inference(transitivity,[status(thm)],[24748, 24746])).
% 34.77/23.39 tff(24750,plain,
% 34.77/23.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24751,plain,
% 34.77/23.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24750, 24749])).
% 34.77/23.39 tff(24752,plain,
% 34.77/23.39 (~v101(constB159)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24751, 381, 23787, 23890])).
% 34.77/23.39 tff(24753,plain,
% 34.77/23.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24754,plain,
% 34.77/23.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24755,plain,
% 34.77/23.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24754, 24753])).
% 34.77/23.39 tff(24756,plain,
% 34.77/23.39 (v101(constB159) | (~v100(constB159))),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24755, 398, 23787])).
% 34.77/23.39 tff(24757,plain,
% 34.77/23.39 (~v100(constB159)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24756, 24752])).
% 34.77/23.39 tff(24758,plain,
% 34.77/23.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24759,plain,
% 34.77/23.39 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))) <=> (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24760,plain,
% 34.77/23.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2))))),
% 34.77/23.39 inference(monotonicity,[status(thm)],[24759])).
% 34.77/23.39 tff(24761,plain,
% 34.77/23.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 34.77/23.39 inference(transitivity,[status(thm)],[24760, 24758])).
% 34.77/23.39 tff(24762,plain,
% 34.77/23.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24763,plain,
% 34.77/23.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24762, 24761])).
% 34.77/23.39 tff(24764,plain,
% 34.77/23.39 (v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24763, 413, 23787])).
% 34.77/23.39 tff(24765,plain,
% 34.77/23.39 (v90(constB158, bitIndex2) | (~v90(constB159, bitIndex2))),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24764, 24757])).
% 34.77/23.39 tff(24766,plain,
% 34.77/23.39 (~v90(constB159, bitIndex2)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24765, 24745])).
% 34.77/23.39 tff(24767,plain,
% 34.77/23.39 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24768,plain,
% 34.77/23.39 ((v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1))) <=> (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24769,plain,
% 34.77/23.39 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1))))),
% 34.77/23.39 inference(monotonicity,[status(thm)],[24768])).
% 34.77/23.39 tff(24770,plain,
% 34.77/23.39 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1)))),
% 34.77/23.39 inference(transitivity,[status(thm)],[24769, 24767])).
% 34.77/23.39 tff(24771,plain,
% 34.77/23.39 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24772,plain,
% 34.77/23.39 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24771, 24770])).
% 34.77/23.39 tff(24773,plain,
% 34.77/23.39 (v123(constB157) | v121(constB157) | v119(constB157) | (~v130(constB157, bitIndex1))),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24772, 2448, 24716, 24712, 24708])).
% 34.77/23.39 tff(24774,plain,
% 34.77/23.39 (~v130(constB157, bitIndex1)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24773, 24704, 24700, 24696])).
% 34.77/23.39 tff(24775,plain,
% 34.77/23.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24776,plain,
% 34.77/23.39 ((v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1))) <=> ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24777,plain,
% 34.77/23.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1)))),
% 34.77/23.39 inference(monotonicity,[status(thm)],[24776])).
% 34.77/23.39 tff(24778,plain,
% 34.77/23.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 34.77/23.39 inference(transitivity,[status(thm)],[24777, 24775])).
% 34.77/23.39 tff(24779,plain,
% 34.77/23.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24780,plain,
% 34.77/23.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1)),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24779, 24778])).
% 34.77/23.39 tff(24781,plain,
% 34.77/23.39 ((~v127(constB157, bitIndex1)) | v130(constB157, bitIndex1)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24780, 781, 24647])).
% 34.77/23.39 tff(24782,plain,
% 34.77/23.39 (~v127(constB157, bitIndex1)),
% 34.77/23.39 inference(unit_resolution,[status(thm)],[24781, 24774])).
% 34.77/23.39 tff(24783,plain,
% 34.77/23.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))),
% 34.77/23.39 inference(rewrite,[status(thm)],[])).
% 34.77/23.39 tff(24784,plain,
% 34.77/23.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))),
% 34.77/23.39 inference(quant_inst,[status(thm)],[])).
% 34.77/23.39 tff(24785,plain,
% 34.77/23.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1))),
% 34.77/23.39 inference(modus_ponens,[status(thm)],[24784, 24783])).
% 34.77/23.39 tff(24786,plain,
% 34.77/23.39 (v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1))),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24785, 799, 57])).
% 34.77/23.40 tff(24787,plain,
% 34.77/23.40 (~v129(constB158, bitIndex1)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24786, 24782])).
% 34.77/23.40 tff(24788,plain,
% 34.77/23.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24789,plain,
% 34.77/23.40 (((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1)) <=> ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24790,plain,
% 34.77/23.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158))))),
% 34.77/23.40 inference(monotonicity,[status(thm)],[24789])).
% 34.77/23.40 tff(24791,plain,
% 34.77/23.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 34.77/23.40 inference(transitivity,[status(thm)],[24790, 24788])).
% 34.77/23.40 tff(24792,plain,
% 34.77/23.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24793,plain,
% 34.77/23.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158))),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24792, 24791])).
% 34.77/23.40 tff(24794,plain,
% 34.77/23.40 ((~v90(constB158, bitIndex1)) | (~v100(constB158))),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24793, 814, 24787])).
% 34.77/23.40 tff(24795,plain,
% 34.77/23.40 (~v90(constB158, bitIndex1)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24794, 24692])).
% 34.77/23.40 tff(24796,plain,
% 34.77/23.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24797,plain,
% 34.77/23.40 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1))) <=> (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24798,plain,
% 34.77/23.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1))))),
% 34.77/23.40 inference(monotonicity,[status(thm)],[24797])).
% 34.77/23.40 tff(24799,plain,
% 34.77/23.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 34.77/23.40 inference(transitivity,[status(thm)],[24798, 24796])).
% 34.77/23.40 tff(24800,plain,
% 34.77/23.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24801,plain,
% 34.77/23.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1))),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24800, 24799])).
% 34.77/23.40 tff(24802,plain,
% 34.77/23.40 (v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1))),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24801, 434, 23787])).
% 34.77/23.40 tff(24803,plain,
% 34.77/23.40 (v90(constB158, bitIndex1) | (~v90(constB159, bitIndex1))),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24802, 24757])).
% 34.77/23.40 tff(24804,plain,
% 34.77/23.40 (~v90(constB159, bitIndex1)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24803, 24795])).
% 34.77/23.40 tff(24805,plain,
% 34.77/23.40 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24806,plain,
% 34.77/23.40 ((v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0)) <=> (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24807,plain,
% 34.77/23.40 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0)))),
% 34.77/23.40 inference(monotonicity,[status(thm)],[24806])).
% 34.77/23.40 tff(24808,plain,
% 34.77/23.40 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))),
% 34.77/23.40 inference(transitivity,[status(thm)],[24807, 24805])).
% 34.77/23.40 tff(24809,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24810,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0)),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24809, 24808])).
% 34.77/23.40 tff(24811,plain,
% 34.77/23.40 (v123(constB157) | v121(constB157) | v119(constB157) | v130(constB157, bitIndex0)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24810, 2495, 24716, 24712, 24708])).
% 34.77/23.40 tff(24812,plain,
% 34.77/23.40 (v130(constB157, bitIndex0)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24811, 24704, 24700, 24696])).
% 34.77/23.40 tff(24813,plain,
% 34.77/23.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24814,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24815,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0)),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24814, 24813])).
% 34.77/23.40 tff(24816,plain,
% 34.77/23.40 ((~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24815, 855, 24647])).
% 34.77/23.40 tff(24817,plain,
% 34.77/23.40 (v127(constB157, bitIndex0)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24816, 24812])).
% 34.77/23.40 tff(24818,plain,
% 34.77/23.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24819,plain,
% 34.77/23.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24820,plain,
% 34.77/23.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0)),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24819, 24818])).
% 34.77/23.40 tff(24821,plain,
% 34.77/23.40 ((~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24820, 870, 57])).
% 34.77/23.40 tff(24822,plain,
% 34.77/23.40 (v129(constB158, bitIndex0)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24821, 24817])).
% 34.77/23.40 tff(24823,plain,
% 34.77/23.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24824,plain,
% 34.77/23.40 ((v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0))) <=> (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24825,plain,
% 34.77/23.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158))))),
% 34.77/23.40 inference(monotonicity,[status(thm)],[24824])).
% 34.77/23.40 tff(24826,plain,
% 34.77/23.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 34.77/23.40 inference(transitivity,[status(thm)],[24825, 24823])).
% 34.77/23.40 tff(24827,plain,
% 34.77/23.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24828,plain,
% 34.77/23.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158))),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24827, 24826])).
% 34.77/23.40 tff(24829,plain,
% 34.77/23.40 (v90(constB158, bitIndex0) | (~v100(constB158))),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24828, 885, 24822])).
% 34.77/23.40 tff(24830,plain,
% 34.77/23.40 (v90(constB158, bitIndex0)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24829, 24692])).
% 34.77/23.40 tff(24831,plain,
% 34.77/23.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24832,plain,
% 34.77/23.40 (((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0)) <=> ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24833,plain,
% 34.77/23.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0)))),
% 34.77/23.40 inference(monotonicity,[status(thm)],[24832])).
% 34.77/23.40 tff(24834,plain,
% 34.77/23.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 34.77/23.40 inference(transitivity,[status(thm)],[24833, 24831])).
% 34.77/23.40 tff(24835,plain,
% 34.77/23.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24836,plain,
% 34.77/23.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0)),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24835, 24834])).
% 34.77/23.40 tff(24837,plain,
% 34.77/23.40 ((~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24836, 903, 23787])).
% 34.77/23.40 tff(24838,plain,
% 34.77/23.40 ((~v90(constB158, bitIndex0)) | v90(constB159, bitIndex0)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24837, 24757])).
% 34.77/23.40 tff(24839,plain,
% 34.77/23.40 (v90(constB159, bitIndex0)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24838, 24830])).
% 34.77/23.40 tff(24840,plain,
% 34.77/23.40 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24841,plain,
% 34.77/23.40 (((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2)) <=> ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24842,plain,
% 34.77/23.40 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159)))),
% 34.77/23.40 inference(monotonicity,[status(thm)],[24841])).
% 34.77/23.40 tff(24843,plain,
% 34.77/23.40 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 34.77/23.40 inference(transitivity,[status(thm)],[24842, 24840])).
% 34.77/23.40 tff(24844,plain,
% 34.77/23.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24845,plain,
% 34.77/23.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159)),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24844, 24843])).
% 34.77/23.40 tff(24846,plain,
% 34.77/23.40 (v120(constB159)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24845, 922, 24839, 24804, 24766])).
% 34.77/23.40 tff(24847,plain,
% 34.77/23.40 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB159) | (~v120(constB159)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB159) | (~v120(constB159)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24848,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB159) | (~v120(constB159)))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24849,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB159) | (~v120(constB159))),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24848, 24847])).
% 34.77/23.40 tff(24850,plain,
% 34.77/23.40 (v118(constB159)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24849, 936, 24846])).
% 34.77/23.40 tff(24851,plain,
% 34.77/23.40 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB159) | (~v118(constB159)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB159) | (~v118(constB159)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24852,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB159) | (~v118(constB159)))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24853,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB159) | (~v118(constB159))),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24852, 24851])).
% 34.77/23.40 tff(24854,plain,
% 34.77/23.40 (v117(constB159)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24853, 498, 24850])).
% 34.77/23.40 tff(24855,plain,
% 34.77/23.40 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB159) | (~v117(constB159)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB159) | (~v117(constB159)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24856,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB159) | (~v117(constB159)))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24857,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB159) | (~v117(constB159))),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24856, 24855])).
% 34.77/23.40 tff(24858,plain,
% 34.77/23.40 (v116(constB159)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24857, 509, 24854])).
% 34.77/23.40 tff(24859,plain,
% 34.77/23.40 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB159) | (~v116(constB159)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB159) | (~v116(constB159)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24860,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB159) | (~v116(constB159)))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24861,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB159) | (~v116(constB159))),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24860, 24859])).
% 34.77/23.40 tff(24862,plain,
% 34.77/23.40 (v115(constB159)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24861, 520, 24858])).
% 34.77/23.40 tff(24863,plain,
% 34.77/23.40 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB159) | (~v115(constB159)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB159) | (~v115(constB159)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24864,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB159) | (~v115(constB159)))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24865,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB159) | (~v115(constB159))),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24864, 24863])).
% 34.77/23.40 tff(24866,plain,
% 34.77/23.40 (v114(constB159)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24865, 531, 24862])).
% 34.77/23.40 tff(24867,plain,
% 34.77/23.40 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB159) | (~v114(constB159)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB159) | (~v114(constB159)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24868,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB159) | (~v114(constB159)))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24869,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB159) | (~v114(constB159))),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24868, 24867])).
% 34.77/23.40 tff(24870,plain,
% 34.77/23.40 (v113(constB159)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24869, 542, 24866])).
% 34.77/23.40 tff(24871,assumption,(v26(constB159)), introduced(assumption)).
% 34.77/23.40 tff(24872,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB159))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24873,plain,
% 34.77/23.40 ($false),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24872, 120, 24871])).
% 34.77/23.40 tff(24874,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 34.77/23.40 tff(24875,plain,
% 34.77/23.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24876,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24877,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | (~v113(constB159)) | v112(constB159)),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24876, 24875])).
% 34.77/23.40 tff(24878,plain,
% 34.77/23.40 ((~v113(constB159)) | v112(constB159)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24877, 556, 24874])).
% 34.77/23.40 tff(24879,plain,
% 34.77/23.40 (v112(constB159)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24878, 24870])).
% 34.77/23.40 tff(24880,plain,
% 34.77/23.40 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB159) | (~v112(constB159)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24881,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB159) | (~v112(constB159)))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24882,plain,
% 34.77/23.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB159) | (~v112(constB159))),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24881, 24880])).
% 34.77/23.40 tff(24883,plain,
% 34.77/23.40 (v108(constB159)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24882, 568, 24879])).
% 34.77/23.40 tff(24884,plain,
% 34.77/23.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24885,plain,
% 34.77/23.40 (((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160)) <=> ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24886,plain,
% 34.77/23.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))))),
% 34.77/23.40 inference(monotonicity,[status(thm)],[24885])).
% 34.77/23.40 tff(24887,plain,
% 34.77/23.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 34.77/23.40 inference(transitivity,[status(thm)],[24886, 24884])).
% 34.77/23.40 tff(24888,plain,
% 34.77/23.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24889,plain,
% 34.77/23.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24888, 24887])).
% 34.77/23.40 tff(24890,plain,
% 34.77/23.40 (v110(constB160) | (~v108(constB159))),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24889, 585, 23971])).
% 34.77/23.40 tff(24891,plain,
% 34.77/23.40 (v110(constB160)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24890, 24883])).
% 34.77/23.40 tff(24892,plain,
% 34.77/23.40 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24893,plain,
% 34.77/23.40 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 34.77/23.40 inference(quant_inst,[status(thm)],[])).
% 34.77/23.40 tff(24894,plain,
% 34.77/23.40 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160))),
% 34.77/23.40 inference(modus_ponens,[status(thm)],[24893, 24892])).
% 34.77/23.40 tff(24895,plain,
% 34.77/23.40 (~v104(constB160)),
% 34.77/23.40 inference(unit_resolution,[status(thm)],[24894, 603, 23971, 23890])).
% 34.77/23.40 tff(24896,plain,
% 34.77/23.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24897,plain,
% 34.77/23.40 (((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160)) <=> ((~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))),
% 34.77/23.40 inference(rewrite,[status(thm)],[])).
% 34.77/23.40 tff(24898,plain,
% 34.77/23.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | v102(constB160)))),
% 34.77/23.40 inference(monotonicity,[status(thm)],[24897])).
% 34.77/23.40 tff(24899,plain,
% 34.77/23.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))),
% 34.77/23.40 inference(transitivity,[status(thm)],[24898, 24896])).
% 34.77/23.40 tff(24900,plain,
% 34.77/23.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(24901,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | v102(constB160)),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24900, 24899])).
% 34.77/23.41 tff(24902,plain,
% 34.77/23.41 (v104(constB160) | v102(constB160)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24901, 617, 23971])).
% 34.77/23.41 tff(24903,plain,
% 34.77/23.41 (v102(constB160)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24902, 24895])).
% 34.77/23.41 tff(24904,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24905,plain,
% 34.77/23.41 (((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160))) <=> ((~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24906,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160))))),
% 34.77/23.41 inference(monotonicity,[status(thm)],[24905])).
% 34.77/23.41 tff(24907,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))),
% 34.77/23.41 inference(transitivity,[status(thm)],[24906, 24904])).
% 34.77/23.41 tff(24908,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(24909,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160))),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24908, 24907])).
% 34.77/23.41 tff(24910,plain,
% 34.77/23.41 (v101(constB160) | (~v102(constB160))),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24909, 638, 23971, 23983])).
% 34.77/23.41 tff(24911,plain,
% 34.77/23.41 (v101(constB160)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24910, 24903])).
% 34.77/23.41 tff(24912,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24913,plain,
% 34.77/23.41 (((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160)) <=> ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24914,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))))),
% 34.77/23.41 inference(monotonicity,[status(thm)],[24913])).
% 34.77/23.41 tff(24915,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 34.77/23.41 inference(transitivity,[status(thm)],[24914, 24912])).
% 34.77/23.41 tff(24916,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(24917,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24916, 24915])).
% 34.77/23.41 tff(24918,plain,
% 34.77/23.41 (v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24917, 656, 23971])).
% 34.77/23.41 tff(24919,plain,
% 34.77/23.41 (v100(constB160) | (~v110(constB160))),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24918, 24911])).
% 34.77/23.41 tff(24920,plain,
% 34.77/23.41 (v100(constB160)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24919, 24891])).
% 34.77/23.41 tff(24921,plain,
% 34.77/23.41 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB159)) | (~v130(constB159, bitIndex2)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24922,plain,
% 34.77/23.41 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex2)))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(24923,plain,
% 34.77/23.41 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB159)) | (~v130(constB159, bitIndex2))),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24922, 24921])).
% 34.77/23.41 tff(24924,plain,
% 34.77/23.41 (~v130(constB159, bitIndex2)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24923, 1025, 24846])).
% 34.77/23.41 tff(24925,plain,
% 34.77/23.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24926,plain,
% 34.77/23.41 ((v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2))) <=> ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24927,plain,
% 34.77/23.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)))),
% 34.77/23.41 inference(monotonicity,[status(thm)],[24926])).
% 34.77/23.41 tff(24928,plain,
% 34.77/23.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 34.77/23.41 inference(transitivity,[status(thm)],[24927, 24925])).
% 34.77/23.41 tff(24929,plain,
% 34.77/23.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(24930,plain,
% 34.77/23.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24929, 24928])).
% 34.77/23.41 tff(24931,plain,
% 34.77/23.41 ((~v127(constB159, bitIndex2)) | v130(constB159, bitIndex2)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24930, 689, 24874])).
% 34.77/23.41 tff(24932,plain,
% 34.77/23.41 (~v127(constB159, bitIndex2)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24931, 24924])).
% 34.77/23.41 tff(24933,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24934,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(24935,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24934, 24933])).
% 34.77/23.41 tff(24936,plain,
% 34.77/23.41 (v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24935, 707, 23971])).
% 34.77/23.41 tff(24937,plain,
% 34.77/23.41 (~v129(constB160, bitIndex2)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24936, 24932])).
% 34.77/23.41 tff(24938,plain,
% 34.77/23.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24939,plain,
% 34.77/23.41 (((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2)) <=> ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24940,plain,
% 34.77/23.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160))))),
% 34.77/23.41 inference(monotonicity,[status(thm)],[24939])).
% 34.77/23.41 tff(24941,plain,
% 34.77/23.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 34.77/23.41 inference(transitivity,[status(thm)],[24940, 24938])).
% 34.77/23.41 tff(24942,plain,
% 34.77/23.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(24943,plain,
% 34.77/23.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160))),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24942, 24941])).
% 34.77/23.41 tff(24944,plain,
% 34.77/23.41 ((~v90(constB160, bitIndex2)) | (~v100(constB160))),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24943, 722, 24937])).
% 34.77/23.41 tff(24945,plain,
% 34.77/23.41 (~v90(constB160, bitIndex2)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24944, 24920])).
% 34.77/23.41 tff(24946,plain,
% 34.77/23.41 ((~v1(constB161)) <=> (~v1(constB161))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24947,axiom,(~v1(constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 34.77/23.41 tff(24948,plain,
% 34.77/23.41 (~v1(constB161)),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24947, 24946])).
% 34.77/23.41 tff(24949,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24950,plain,
% 34.77/23.41 (((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24951,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))))),
% 34.77/23.41 inference(monotonicity,[status(thm)],[24950])).
% 34.77/23.41 tff(24952,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 34.77/23.41 inference(transitivity,[status(thm)],[24951, 24949])).
% 34.77/23.41 tff(24953,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(24954,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24953, 24952])).
% 34.77/23.41 tff(24955,plain,
% 34.77/23.41 (~v101(constB161)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24954, 381, 24003, 24948])).
% 34.77/23.41 tff(24956,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24957,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(24958,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161))),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24957, 24956])).
% 34.77/23.41 tff(24959,plain,
% 34.77/23.41 (v101(constB161) | (~v100(constB161))),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24958, 398, 24003])).
% 34.77/23.41 tff(24960,plain,
% 34.77/23.41 (~v100(constB161)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24959, 24955])).
% 34.77/23.41 tff(24961,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24962,plain,
% 34.77/23.41 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))) <=> (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24963,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2))))),
% 34.77/23.41 inference(monotonicity,[status(thm)],[24962])).
% 34.77/23.41 tff(24964,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 34.77/23.41 inference(transitivity,[status(thm)],[24963, 24961])).
% 34.77/23.41 tff(24965,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(24966,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24965, 24964])).
% 34.77/23.41 tff(24967,plain,
% 34.77/23.41 (v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24966, 413, 24003])).
% 34.77/23.41 tff(24968,plain,
% 34.77/23.41 (v90(constB160, bitIndex2) | (~v90(constB161, bitIndex2))),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24967, 24960])).
% 34.77/23.41 tff(24969,plain,
% 34.77/23.41 (~v90(constB161, bitIndex2)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24968, 24945])).
% 34.77/23.41 tff(24970,plain,
% 34.77/23.41 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB159)) | v130(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB159)) | v130(constB159, bitIndex1))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24971,plain,
% 34.77/23.41 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB159)) | v130(constB159, bitIndex1))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(24972,plain,
% 34.77/23.41 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB159)) | v130(constB159, bitIndex1)),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24971, 24970])).
% 34.77/23.41 tff(24973,plain,
% 34.77/23.41 (v130(constB159, bitIndex1)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24972, 1087, 24846])).
% 34.77/23.41 tff(24974,plain,
% 34.77/23.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24975,plain,
% 34.77/23.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(24976,plain,
% 34.77/23.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24975, 24974])).
% 34.77/23.41 tff(24977,plain,
% 34.77/23.41 ((~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24976, 1101, 24874])).
% 34.77/23.41 tff(24978,plain,
% 34.77/23.41 (v127(constB159, bitIndex1)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24977, 24973])).
% 34.77/23.41 tff(24979,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24980,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(24981,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24980, 24979])).
% 34.77/23.41 tff(24982,plain,
% 34.77/23.41 ((~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24981, 1116, 23971])).
% 34.77/23.41 tff(24983,plain,
% 34.77/23.41 (v129(constB160, bitIndex1)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24982, 24978])).
% 34.77/23.41 tff(24984,plain,
% 34.77/23.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24985,plain,
% 34.77/23.41 ((v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1))) <=> (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24986,plain,
% 34.77/23.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))))),
% 34.77/23.41 inference(monotonicity,[status(thm)],[24985])).
% 34.77/23.41 tff(24987,plain,
% 34.77/23.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 34.77/23.41 inference(transitivity,[status(thm)],[24986, 24984])).
% 34.77/23.41 tff(24988,plain,
% 34.77/23.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(24989,plain,
% 34.77/23.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24988, 24987])).
% 34.77/23.41 tff(24990,plain,
% 34.77/23.41 (v90(constB160, bitIndex1) | (~v100(constB160))),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24989, 1131, 24983])).
% 34.77/23.41 tff(24991,plain,
% 34.77/23.41 (v90(constB160, bitIndex1)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24990, 24920])).
% 34.77/23.41 tff(24992,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24993,plain,
% 34.77/23.41 (((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)) <=> ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(24994,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1)))),
% 34.77/23.41 inference(monotonicity,[status(thm)],[24993])).
% 34.77/23.41 tff(24995,plain,
% 34.77/23.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 34.77/23.41 inference(transitivity,[status(thm)],[24994, 24992])).
% 34.77/23.41 tff(24996,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(24997,plain,
% 34.77/23.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1)),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[24996, 24995])).
% 34.77/23.41 tff(24998,plain,
% 34.77/23.41 ((~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24997, 1149, 24003])).
% 34.77/23.41 tff(24999,plain,
% 34.77/23.41 ((~v90(constB160, bitIndex1)) | v90(constB161, bitIndex1)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24998, 24960])).
% 34.77/23.41 tff(25000,plain,
% 34.77/23.41 (v90(constB161, bitIndex1)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[24999, 24991])).
% 34.77/23.41 tff(25001,plain,
% 34.77/23.41 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB159)) | (~v130(constB159, bitIndex0)))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(25002,plain,
% 34.77/23.41 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex0)))),
% 34.77/23.41 inference(quant_inst,[status(thm)],[])).
% 34.77/23.41 tff(25003,plain,
% 34.77/23.41 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB159)) | (~v130(constB159, bitIndex0))),
% 34.77/23.41 inference(modus_ponens,[status(thm)],[25002, 25001])).
% 34.77/23.41 tff(25004,plain,
% 34.77/23.41 (~v130(constB159, bitIndex0)),
% 34.77/23.41 inference(unit_resolution,[status(thm)],[25003, 1168, 24846])).
% 34.77/23.41 tff(25005,plain,
% 34.77/23.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(25006,plain,
% 34.77/23.41 ((v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0))) <=> ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 34.77/23.41 inference(rewrite,[status(thm)],[])).
% 34.77/23.41 tff(25007,plain,
% 34.77/23.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0)))),
% 34.77/23.41 inference(monotonicity,[status(thm)],[25006])).
% 34.77/23.41 tff(25008,plain,
% 34.77/23.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 34.77/23.41 inference(transitivity,[status(thm)],[25007, 25005])).
% 34.77/23.42 tff(25009,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25010,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0)),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25009, 25008])).
% 34.77/23.42 tff(25011,plain,
% 34.77/23.42 ((~v127(constB159, bitIndex0)) | v130(constB159, bitIndex0)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25010, 1182, 24874])).
% 34.77/23.42 tff(25012,plain,
% 34.77/23.42 (~v127(constB159, bitIndex0)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25011, 25004])).
% 34.77/23.42 tff(25013,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25014,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25015,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25014, 25013])).
% 34.77/23.42 tff(25016,plain,
% 34.77/23.42 (v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0))),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25015, 1200, 23971])).
% 34.77/23.42 tff(25017,plain,
% 34.77/23.42 (~v129(constB160, bitIndex0)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25016, 25012])).
% 34.77/23.42 tff(25018,plain,
% 34.77/23.42 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25019,plain,
% 34.77/23.42 (((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0)) <=> ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25020,plain,
% 34.77/23.42 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160))))),
% 34.77/23.42 inference(monotonicity,[status(thm)],[25019])).
% 34.77/23.42 tff(25021,plain,
% 34.77/23.42 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 34.77/23.42 inference(transitivity,[status(thm)],[25020, 25018])).
% 34.77/23.42 tff(25022,plain,
% 34.77/23.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25023,plain,
% 34.77/23.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25022, 25021])).
% 34.77/23.42 tff(25024,plain,
% 34.77/23.42 ((~v90(constB160, bitIndex0)) | (~v100(constB160))),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25023, 1215, 25017])).
% 34.77/23.42 tff(25025,plain,
% 34.77/23.42 (~v90(constB160, bitIndex0)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25024, 24920])).
% 34.77/23.42 tff(25026,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25027,plain,
% 34.77/23.42 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0))) <=> (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25028,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0))))),
% 34.77/23.42 inference(monotonicity,[status(thm)],[25027])).
% 34.77/23.42 tff(25029,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 34.77/23.42 inference(transitivity,[status(thm)],[25028, 25026])).
% 34.77/23.42 tff(25030,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25031,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25030, 25029])).
% 34.77/23.42 tff(25032,plain,
% 34.77/23.42 (v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0))),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25031, 455, 24003])).
% 34.77/23.42 tff(25033,plain,
% 34.77/23.42 (v90(constB160, bitIndex0) | (~v90(constB161, bitIndex0))),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25032, 24960])).
% 34.77/23.42 tff(25034,plain,
% 34.77/23.42 (~v90(constB161, bitIndex0)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25033, 25025])).
% 34.77/23.42 tff(25035,plain,
% 34.77/23.42 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25036,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25037,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161)),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25036, 25035])).
% 34.77/23.42 tff(25038,plain,
% 34.77/23.42 (v121(constB161)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25037, 1242, 25034, 25000, 24969])).
% 34.77/23.42 tff(25039,plain,
% 34.77/23.42 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB161)) | (~v130(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB161)) | (~v130(constB161, bitIndex2)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25040,plain,
% 34.77/23.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB161)) | (~v130(constB161, bitIndex2)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25041,plain,
% 34.77/23.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB161)) | (~v130(constB161, bitIndex2))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25040, 25039])).
% 34.77/23.42 tff(25042,plain,
% 34.77/23.42 (~v130(constB161, bitIndex2)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25041, 1342, 25038])).
% 34.77/23.42 tff(25043,assumption,(v26(constB161)), introduced(assumption)).
% 34.77/23.42 tff(25044,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB161))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25045,plain,
% 34.77/23.42 ($false),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25044, 120, 25043])).
% 34.77/23.42 tff(25046,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 34.77/23.42 tff(25047,plain,
% 34.77/23.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25048,plain,
% 34.77/23.42 ((v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2))) <=> ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25049,plain,
% 34.77/23.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2)))),
% 34.77/23.42 inference(monotonicity,[status(thm)],[25048])).
% 34.77/23.42 tff(25050,plain,
% 34.77/23.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 34.77/23.42 inference(transitivity,[status(thm)],[25049, 25047])).
% 34.77/23.42 tff(25051,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25052,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2)),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25051, 25050])).
% 34.77/23.42 tff(25053,plain,
% 34.77/23.42 ((~v127(constB161, bitIndex2)) | v130(constB161, bitIndex2)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25052, 689, 25046])).
% 34.77/23.42 tff(25054,plain,
% 34.77/23.42 (~v127(constB161, bitIndex2)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25053, 25042])).
% 34.77/23.42 tff(25055,plain,
% 34.77/23.42 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25056,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 34.77/23.42 tff(25057,plain,
% 34.77/23.42 (nextState(constB161, constB162)),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25056, 25055])).
% 34.77/23.42 tff(25058,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25059,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25060,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25059, 25058])).
% 34.77/23.42 tff(25061,plain,
% 34.77/23.42 (v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2))),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25060, 707, 25057])).
% 34.77/23.42 tff(25062,plain,
% 34.77/23.42 (~v129(constB162, bitIndex2)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25061, 25054])).
% 34.77/23.42 tff(25063,assumption,(~v90(constB157, bitIndex0)), introduced(assumption)).
% 34.77/23.42 tff(25064,plain,
% 34.77/23.42 (~v124(constB157)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[24715, 12932, 25063])).
% 34.77/23.42 tff(25065,plain,
% 34.77/23.42 (~v120(constB157)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[24707, 12917, 25063])).
% 34.77/23.42 tff(25066,plain,
% 34.77/23.42 (~v122(constB157)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[24711, 10703, 25063])).
% 34.77/23.42 tff(25067,assumption,(~v100(constB162)), introduced(assumption)).
% 34.77/23.42 tff(25068,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25069,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25070,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25069, 25068])).
% 34.77/23.42 tff(25071,plain,
% 34.77/23.42 (~v104(constB162)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25070, 603, 25057, 24948])).
% 34.77/23.42 tff(25072,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25073,plain,
% 34.77/23.42 (((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162)) <=> ((~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25074,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | v102(constB162)))),
% 34.77/23.42 inference(monotonicity,[status(thm)],[25073])).
% 34.77/23.42 tff(25075,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))),
% 34.77/23.42 inference(transitivity,[status(thm)],[25074, 25072])).
% 34.77/23.42 tff(25076,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25077,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | v102(constB162)),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25076, 25075])).
% 34.77/23.42 tff(25078,plain,
% 34.77/23.42 (v104(constB162) | v102(constB162)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25077, 617, 25057])).
% 34.77/23.42 tff(25079,plain,
% 34.77/23.42 (v102(constB162)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25078, 25071])).
% 34.77/23.42 tff(25080,plain,
% 34.77/23.42 (v1(constB162) <=> v1(constB162)),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25081,axiom,(v1(constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 34.77/23.42 tff(25082,plain,
% 34.77/23.42 (v1(constB162)),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25081, 25080])).
% 34.77/23.42 tff(25083,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25084,plain,
% 34.77/23.42 (((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162))) <=> ((~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25085,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162))))),
% 34.77/23.42 inference(monotonicity,[status(thm)],[25084])).
% 34.77/23.42 tff(25086,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))),
% 34.77/23.42 inference(transitivity,[status(thm)],[25085, 25083])).
% 34.77/23.42 tff(25087,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25088,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25087, 25086])).
% 34.77/23.42 tff(25089,plain,
% 34.77/23.42 (v101(constB162) | (~v102(constB162))),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25088, 638, 25057, 25082])).
% 34.77/23.42 tff(25090,plain,
% 34.77/23.42 (v101(constB162)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25089, 25079])).
% 34.77/23.42 tff(25091,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25092,plain,
% 34.77/23.42 (((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162)) <=> ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25093,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))))),
% 34.77/23.42 inference(monotonicity,[status(thm)],[25092])).
% 34.77/23.42 tff(25094,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 34.77/23.42 inference(transitivity,[status(thm)],[25093, 25091])).
% 34.77/23.42 tff(25095,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25096,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25095, 25094])).
% 34.77/23.42 tff(25097,plain,
% 34.77/23.42 (v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25096, 656, 25057])).
% 34.77/23.42 tff(25098,plain,
% 34.77/23.42 (v100(constB162) | (~v110(constB162))),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25097, 25090])).
% 34.77/23.42 tff(25099,plain,
% 34.77/23.42 (~v110(constB162)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25098, 25067])).
% 34.77/23.42 tff(25100,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25101,plain,
% 34.77/23.42 (((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162)) <=> ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25102,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))))),
% 34.77/23.42 inference(monotonicity,[status(thm)],[25101])).
% 34.77/23.42 tff(25103,plain,
% 34.77/23.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 34.77/23.42 inference(transitivity,[status(thm)],[25102, 25100])).
% 34.77/23.42 tff(25104,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25105,plain,
% 34.77/23.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25104, 25103])).
% 34.77/23.42 tff(25106,plain,
% 34.77/23.42 (v110(constB162) | (~v108(constB161))),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25105, 585, 25057])).
% 34.77/23.42 tff(25107,plain,
% 34.77/23.42 (~v108(constB161)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25106, 25099])).
% 34.77/23.42 tff(25108,plain,
% 34.77/23.42 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB161) | (~v112(constB161)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB161) | (~v112(constB161)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25109,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB161) | (~v112(constB161)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25110,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB161) | (~v112(constB161))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25109, 25108])).
% 34.77/23.42 tff(25111,plain,
% 34.77/23.42 (~v112(constB161)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25110, 568, 25107])).
% 34.77/23.42 tff(25112,plain,
% 34.77/23.42 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB161) | (~v26(constB161)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB161) | (~v26(constB161)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25113,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB161) | (~v26(constB161)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25114,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB161) | (~v26(constB161))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25113, 25112])).
% 34.77/23.42 tff(25115,plain,
% 34.77/23.42 (~v26(constB161)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25114, 2348, 25107])).
% 34.77/23.42 tff(25116,plain,
% 34.77/23.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25117,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25118,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | (~v113(constB161)) | v112(constB161)),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25117, 25116])).
% 34.77/23.42 tff(25119,plain,
% 34.77/23.42 (~v113(constB161)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25118, 556, 25115, 25111])).
% 34.77/23.42 tff(25120,plain,
% 34.77/23.42 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB161) | (~v114(constB161)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB161) | (~v114(constB161)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25121,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB161) | (~v114(constB161)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25122,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB161) | (~v114(constB161))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25121, 25120])).
% 34.77/23.42 tff(25123,plain,
% 34.77/23.42 (~v114(constB161)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25122, 542, 25119])).
% 34.77/23.42 tff(25124,plain,
% 34.77/23.42 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB161) | (~v115(constB161)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB161) | (~v115(constB161)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25125,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB161) | (~v115(constB161)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25126,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB161) | (~v115(constB161))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25125, 25124])).
% 34.77/23.42 tff(25127,plain,
% 34.77/23.42 (~v115(constB161)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25126, 531, 25123])).
% 34.77/23.42 tff(25128,plain,
% 34.77/23.42 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB161) | (~v116(constB161)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB161) | (~v116(constB161)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25129,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB161) | (~v116(constB161)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25130,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB161) | (~v116(constB161))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25129, 25128])).
% 34.77/23.42 tff(25131,plain,
% 34.77/23.42 (~v116(constB161)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25130, 520, 25127])).
% 34.77/23.42 tff(25132,plain,
% 34.77/23.42 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB161) | (~v117(constB161)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB161) | (~v117(constB161)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25133,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB161) | (~v117(constB161)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25134,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB161) | (~v117(constB161))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25133, 25132])).
% 34.77/23.42 tff(25135,plain,
% 34.77/23.42 (~v117(constB161)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25134, 509, 25131])).
% 34.77/23.42 tff(25136,plain,
% 34.77/23.42 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB161) | (~v118(constB161)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB161) | (~v118(constB161)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25137,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB161) | (~v118(constB161)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25138,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB161) | (~v118(constB161))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25137, 25136])).
% 34.77/23.42 tff(25139,plain,
% 34.77/23.42 (~v118(constB161)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25138, 498, 25135])).
% 34.77/23.42 tff(25140,plain,
% 34.77/23.42 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB161) | (~v120(constB161)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB161) | (~v120(constB161)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25141,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB161) | (~v120(constB161)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.42 tff(25142,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB161) | (~v120(constB161))),
% 34.77/23.42 inference(modus_ponens,[status(thm)],[25141, 25140])).
% 34.77/23.42 tff(25143,plain,
% 34.77/23.42 (~v120(constB161)),
% 34.77/23.42 inference(unit_resolution,[status(thm)],[25142, 936, 25139])).
% 34.77/23.42 tff(25144,plain,
% 34.77/23.42 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB161) | (~v119(constB161)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB161) | (~v119(constB161)))),
% 34.77/23.42 inference(rewrite,[status(thm)],[])).
% 34.77/23.42 tff(25145,plain,
% 34.77/23.42 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB161) | (~v119(constB161)))),
% 34.77/23.42 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25146,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB161) | (~v119(constB161))),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25145, 25144])).
% 34.77/23.43 tff(25147,plain,
% 34.77/23.43 (~v119(constB161)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25146, 487, 25139])).
% 34.77/23.43 tff(25148,plain,
% 34.77/23.43 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB161) | (~v124(constB161)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB161) | (~v124(constB161)))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25149,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB161) | (~v124(constB161)))),
% 34.77/23.43 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25150,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB161) | (~v124(constB161))),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25149, 25148])).
% 34.77/23.43 tff(25151,plain,
% 34.77/23.43 (~v124(constB161)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25150, 2005, 25123])).
% 34.77/23.43 tff(25152,plain,
% 34.77/23.43 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB161) | (~v123(constB161)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB161) | (~v123(constB161)))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25153,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB161) | (~v123(constB161)))),
% 34.77/23.43 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25154,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB161) | (~v123(constB161))),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25153, 25152])).
% 34.77/23.43 tff(25155,plain,
% 34.77/23.43 (~v123(constB161)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25154, 1776, 25127])).
% 34.77/23.43 tff(25156,assumption,(~v90(constB161, bitIndex1)), introduced(assumption)).
% 34.77/23.43 tff(25157,assumption,(~v120(constB161)), introduced(assumption)).
% 34.77/23.43 tff(25158,assumption,(~v119(constB161)), introduced(assumption)).
% 34.77/23.43 tff(25159,assumption,(~v90(constB161, bitIndex2)), introduced(assumption)).
% 34.77/23.43 tff(25160,plain,
% 34.77/23.43 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v120(constB161))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v120(constB161))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25161,plain,
% 34.77/23.43 (((~v90(constB161, bitIndex0)) | v120(constB161) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2)) <=> ((~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v120(constB161))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25162,plain,
% 34.77/23.43 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB161, bitIndex0)) | v120(constB161) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v120(constB161)))),
% 34.77/23.43 inference(monotonicity,[status(thm)],[25161])).
% 34.77/23.43 tff(25163,plain,
% 34.77/23.43 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB161, bitIndex0)) | v120(constB161) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v120(constB161))),
% 34.77/23.43 inference(transitivity,[status(thm)],[25162, 25160])).
% 34.77/23.43 tff(25164,plain,
% 34.77/23.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB161, bitIndex0)) | v120(constB161) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2))),
% 34.77/23.43 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25165,plain,
% 34.77/23.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v120(constB161)),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25164, 25163])).
% 34.77/23.43 tff(25166,plain,
% 34.77/23.43 ((~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25165, 922, 25157])).
% 34.77/23.43 tff(25167,plain,
% 34.77/23.43 (~v90(constB161, bitIndex0)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25166, 25159, 25156])).
% 34.77/23.43 tff(25168,plain,
% 34.77/23.43 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB161) | v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB161) | v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25169,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB161) | v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2))),
% 34.77/23.43 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25170,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB161) | v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2)),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25169, 25168])).
% 34.77/23.43 tff(25171,plain,
% 34.77/23.43 (v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25170, 476, 25158])).
% 34.77/23.43 tff(25172,plain,
% 34.77/23.43 ($false),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25171, 25167, 25159, 25156])).
% 34.77/23.43 tff(25173,plain,(v90(constB161, bitIndex2) | v90(constB161, bitIndex1) | v119(constB161) | v120(constB161)), inference(lemma,lemma(discharge,[]))).
% 34.77/23.43 tff(25174,plain,
% 34.77/23.43 (v90(constB161, bitIndex2)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25173, 25156, 25158, 25157])).
% 34.77/23.43 tff(25175,assumption,(~v124(constB161)), introduced(assumption)).
% 34.77/23.43 tff(25176,plain,
% 34.77/23.43 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | (~v90(constB161, bitIndex2)) | v124(constB161))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | (~v90(constB161, bitIndex2)) | v124(constB161))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25177,plain,
% 34.77/23.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | (~v90(constB161, bitIndex2)) | v124(constB161))),
% 34.77/23.43 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25178,plain,
% 34.77/23.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | (~v90(constB161, bitIndex2)) | v124(constB161)),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25177, 25176])).
% 34.77/23.43 tff(25179,plain,
% 34.77/23.43 ((~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | (~v90(constB161, bitIndex2))),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25178, 1994, 25175])).
% 34.77/23.43 tff(25180,plain,
% 34.77/23.43 (~v90(constB161, bitIndex0)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25179, 25174, 25156])).
% 34.77/23.43 tff(25181,assumption,(~v123(constB161)), introduced(assumption)).
% 34.77/23.43 tff(25182,plain,
% 34.77/23.43 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | (~v90(constB161, bitIndex2)) | v123(constB161))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | (~v90(constB161, bitIndex2)) | v123(constB161))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25183,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | (~v90(constB161, bitIndex2)) | v123(constB161))),
% 34.77/23.43 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25184,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | (~v90(constB161, bitIndex2)) | v123(constB161)),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25183, 25182])).
% 34.77/23.43 tff(25185,plain,
% 34.77/23.43 (v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | (~v90(constB161, bitIndex2))),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25184, 1765, 25181])).
% 34.77/23.43 tff(25186,plain,
% 34.77/23.43 ($false),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25185, 25180, 25174, 25156])).
% 34.77/23.43 tff(25187,plain,(v90(constB161, bitIndex1) | v123(constB161) | v124(constB161) | v119(constB161) | v120(constB161)), inference(lemma,lemma(discharge,[]))).
% 34.77/23.43 tff(25188,plain,
% 34.77/23.43 (v90(constB161, bitIndex1)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25187, 25155, 25151, 25147, 25143])).
% 34.77/23.43 tff(25189,plain,
% 34.77/23.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB161, bitIndex1)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB161, bitIndex1)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex1))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25190,plain,
% 34.77/23.43 (((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex1)) | v100(constB162) | v90(constB162, bitIndex1)) <=> ((~v90(constB161, bitIndex1)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex1))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25191,plain,
% 34.77/23.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex1)) | v100(constB162) | v90(constB162, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB161, bitIndex1)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex1)))),
% 34.77/23.43 inference(monotonicity,[status(thm)],[25190])).
% 34.77/23.43 tff(25192,plain,
% 34.77/23.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex1)) | v100(constB162) | v90(constB162, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB161, bitIndex1)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex1))),
% 34.77/23.43 inference(transitivity,[status(thm)],[25191, 25189])).
% 34.77/23.43 tff(25193,plain,
% 34.77/23.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex1)) | v100(constB162) | v90(constB162, bitIndex1))),
% 34.77/23.43 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25194,plain,
% 34.77/23.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB161, bitIndex1)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex1)),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25193, 25192])).
% 34.77/23.43 tff(25195,plain,
% 34.77/23.43 ((~v90(constB161, bitIndex1)) | v100(constB162) | v90(constB162, bitIndex1)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25194, 1149, 25057])).
% 34.77/23.43 tff(25196,plain,
% 34.77/23.43 (v90(constB162, bitIndex1)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25195, 25188, 25067])).
% 34.77/23.43 tff(25197,plain,
% 34.77/23.43 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB161) | (~v122(constB161)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB161) | (~v122(constB161)))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25198,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB161) | (~v122(constB161)))),
% 34.77/23.43 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25199,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB161) | (~v122(constB161))),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25198, 25197])).
% 34.77/23.43 tff(25200,plain,
% 34.77/23.43 (~v122(constB161)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25199, 1497, 25131])).
% 34.77/23.43 tff(25201,plain,
% 34.77/23.43 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB161) | (~v121(constB161)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB161) | (~v121(constB161)))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25202,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB161) | (~v121(constB161)))),
% 34.77/23.43 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25203,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB161) | (~v121(constB161))),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25202, 25201])).
% 34.77/23.43 tff(25204,plain,
% 34.77/23.43 (~v121(constB161)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25203, 1253, 25135])).
% 34.77/23.43 tff(25205,assumption,(v90(constB161, bitIndex1)), introduced(assumption)).
% 34.77/23.43 tff(25206,assumption,(~v122(constB161)), introduced(assumption)).
% 34.77/23.43 tff(25207,plain,
% 34.77/23.43 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25208,plain,
% 34.77/23.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161))),
% 34.77/23.43 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25209,plain,
% 34.77/23.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161)),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25208, 25207])).
% 34.77/23.43 tff(25210,plain,
% 34.77/23.43 ((~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25209, 1486, 25206])).
% 34.77/23.43 tff(25211,plain,
% 34.77/23.43 (~v90(constB161, bitIndex0)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25210, 25159, 25205])).
% 34.77/23.43 tff(25212,assumption,(~v121(constB161)), introduced(assumption)).
% 34.77/23.43 tff(25213,plain,
% 34.77/23.43 (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25037, 1242, 25212])).
% 34.77/23.43 tff(25214,plain,
% 34.77/23.43 ($false),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25213, 25211, 25159, 25205])).
% 34.77/23.43 tff(25215,plain,(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v121(constB161) | v122(constB161)), inference(lemma,lemma(discharge,[]))).
% 34.77/23.43 tff(25216,plain,
% 34.77/23.43 (v90(constB161, bitIndex2)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25215, 25188, 25204, 25200])).
% 34.77/23.43 tff(25217,plain,
% 34.77/23.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB161, bitIndex2)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB161, bitIndex2)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex2))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25218,plain,
% 34.77/23.43 (((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex2)) | v100(constB162) | v90(constB162, bitIndex2)) <=> ((~v90(constB161, bitIndex2)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex2))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25219,plain,
% 34.77/23.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex2)) | v100(constB162) | v90(constB162, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB161, bitIndex2)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex2)))),
% 34.77/23.43 inference(monotonicity,[status(thm)],[25218])).
% 34.77/23.43 tff(25220,plain,
% 34.77/23.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex2)) | v100(constB162) | v90(constB162, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB161, bitIndex2)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex2))),
% 34.77/23.43 inference(transitivity,[status(thm)],[25219, 25217])).
% 34.77/23.43 tff(25221,plain,
% 34.77/23.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex2)) | v100(constB162) | v90(constB162, bitIndex2))),
% 34.77/23.43 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25222,plain,
% 34.77/23.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB161, bitIndex2)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex2)),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25221, 25220])).
% 34.77/23.43 tff(25223,plain,
% 34.77/23.43 ((~v90(constB161, bitIndex2)) | v100(constB162) | v90(constB162, bitIndex2)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25222, 1658, 25057])).
% 34.77/23.43 tff(25224,plain,
% 34.77/23.43 (v90(constB162, bitIndex2)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25223, 25216, 25067])).
% 34.77/23.43 tff(25225,plain,
% 34.77/23.43 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB161) | (~v125(constB161)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB161) | (~v125(constB161)))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25226,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB161) | (~v125(constB161)))),
% 34.77/23.43 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25227,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB161) | (~v125(constB161))),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25226, 25225])).
% 34.77/23.43 tff(25228,plain,
% 34.77/23.43 (~v125(constB161)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25227, 2332, 25119])).
% 34.77/23.43 tff(25229,plain,
% 34.77/23.43 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex2)) | v125(constB161))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex2)) | v125(constB161))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25230,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex2)) | v125(constB161))),
% 34.77/23.43 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25231,plain,
% 34.77/23.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex2)) | v125(constB161)),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25230, 25229])).
% 34.77/23.43 tff(25232,plain,
% 34.77/23.43 (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex2))),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25231, 2321, 25228])).
% 34.77/23.43 tff(25233,plain,
% 34.77/23.43 (v90(constB161, bitIndex0)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25232, 25216, 25188])).
% 34.77/23.43 tff(25234,plain,
% 34.77/23.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB161, bitIndex0)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB161, bitIndex0)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex0))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25235,plain,
% 34.77/23.43 (((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex0)) | v100(constB162) | v90(constB162, bitIndex0)) <=> ((~v90(constB161, bitIndex0)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex0))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25236,plain,
% 34.77/23.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex0)) | v100(constB162) | v90(constB162, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB161, bitIndex0)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex0)))),
% 34.77/23.43 inference(monotonicity,[status(thm)],[25235])).
% 34.77/23.43 tff(25237,plain,
% 34.77/23.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex0)) | v100(constB162) | v90(constB162, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB161, bitIndex0)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex0))),
% 34.77/23.43 inference(transitivity,[status(thm)],[25236, 25234])).
% 34.77/23.43 tff(25238,plain,
% 34.77/23.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex0)) | v100(constB162) | v90(constB162, bitIndex0))),
% 34.77/23.43 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25239,plain,
% 34.77/23.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB161, bitIndex0)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex0)),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25238, 25237])).
% 34.77/23.43 tff(25240,plain,
% 34.77/23.43 ((~v90(constB161, bitIndex0)) | v100(constB162) | v90(constB162, bitIndex0)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25239, 903, 25057])).
% 34.77/23.43 tff(25241,plain,
% 34.77/23.43 (v90(constB162, bitIndex0)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25240, 25233, 25067])).
% 34.77/23.43 tff(25242,assumption,(v90(constB162, bitIndex0)), introduced(assumption)).
% 34.77/23.43 tff(25243,plain,
% 34.77/23.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB161, bitIndex0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB161, bitIndex0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex0)))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25244,plain,
% 34.77/23.43 (((~nextState(constB161, constB162)) | v90(constB161, bitIndex0) | v100(constB162) | (~v90(constB162, bitIndex0))) <=> (v90(constB161, bitIndex0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex0)))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25245,plain,
% 34.77/23.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v90(constB161, bitIndex0) | v100(constB162) | (~v90(constB162, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB161, bitIndex0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex0))))),
% 34.77/23.43 inference(monotonicity,[status(thm)],[25244])).
% 34.77/23.43 tff(25246,plain,
% 34.77/23.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v90(constB161, bitIndex0) | v100(constB162) | (~v90(constB162, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB161, bitIndex0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex0)))),
% 34.77/23.43 inference(transitivity,[status(thm)],[25245, 25243])).
% 34.77/23.43 tff(25247,plain,
% 34.77/23.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v90(constB161, bitIndex0) | v100(constB162) | (~v90(constB162, bitIndex0)))),
% 34.77/23.43 inference(quant_inst,[status(thm)],[])).
% 34.77/23.43 tff(25248,plain,
% 34.77/23.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB161, bitIndex0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex0))),
% 34.77/23.43 inference(modus_ponens,[status(thm)],[25247, 25246])).
% 34.77/23.43 tff(25249,plain,
% 34.77/23.43 (v90(constB161, bitIndex0) | v100(constB162) | (~v90(constB162, bitIndex0))),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25248, 455, 25057])).
% 34.77/23.43 tff(25250,plain,
% 34.77/23.43 (v90(constB161, bitIndex0)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25249, 25067, 25242])).
% 34.77/23.43 tff(25251,plain,
% 34.77/23.43 (v90(constB160, bitIndex0)),
% 34.77/23.43 inference(unit_resolution,[status(thm)],[25033, 25250])).
% 34.77/23.43 tff(25252,assumption,(~v130(constB157, bitIndex2)), introduced(assumption)).
% 34.77/23.43 tff(25253,assumption,(v90(constB162, bitIndex2)), introduced(assumption)).
% 34.77/23.43 tff(25254,plain,
% 34.77/23.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB161, bitIndex2) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB161, bitIndex2) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex2)))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25255,plain,
% 34.77/23.43 (((~nextState(constB161, constB162)) | v90(constB161, bitIndex2) | v100(constB162) | (~v90(constB162, bitIndex2))) <=> (v90(constB161, bitIndex2) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex2)))),
% 34.77/23.43 inference(rewrite,[status(thm)],[])).
% 34.77/23.43 tff(25256,plain,
% 34.77/23.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v90(constB161, bitIndex2) | v100(constB162) | (~v90(constB162, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB161, bitIndex2) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex2))))),
% 34.77/23.43 inference(monotonicity,[status(thm)],[25255])).
% 34.77/23.43 tff(25257,plain,
% 34.77/23.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v90(constB161, bitIndex2) | v100(constB162) | (~v90(constB162, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB161, bitIndex2) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex2)))),
% 34.77/23.44 inference(transitivity,[status(thm)],[25256, 25254])).
% 34.77/23.44 tff(25258,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v90(constB161, bitIndex2) | v100(constB162) | (~v90(constB162, bitIndex2)))),
% 34.77/23.44 inference(quant_inst,[status(thm)],[])).
% 34.77/23.44 tff(25259,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB161, bitIndex2) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex2))),
% 34.77/23.44 inference(modus_ponens,[status(thm)],[25258, 25257])).
% 34.77/23.44 tff(25260,plain,
% 34.77/23.44 (v90(constB161, bitIndex2) | v100(constB162) | (~v90(constB162, bitIndex2))),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25259, 413, 25057])).
% 34.77/23.44 tff(25261,plain,
% 34.77/23.44 (v90(constB161, bitIndex2)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25260, 25067, 25253])).
% 34.77/23.44 tff(25262,plain,
% 34.77/23.44 (v90(constB160, bitIndex2)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[24968, 25261])).
% 34.77/23.44 tff(25263,assumption,(v90(constB160, bitIndex2)), introduced(assumption)).
% 34.77/23.44 tff(25264,assumption,(~v100(constB160)), introduced(assumption)).
% 34.77/23.44 tff(25265,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex2)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25266,plain,
% 34.77/23.44 (((~nextState(constB159, constB160)) | v90(constB159, bitIndex2) | v100(constB160) | (~v90(constB160, bitIndex2))) <=> (v90(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex2)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25267,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v90(constB159, bitIndex2) | v100(constB160) | (~v90(constB160, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex2))))),
% 34.77/23.44 inference(monotonicity,[status(thm)],[25266])).
% 34.77/23.44 tff(25268,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v90(constB159, bitIndex2) | v100(constB160) | (~v90(constB160, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex2)))),
% 34.77/23.44 inference(transitivity,[status(thm)],[25267, 25265])).
% 34.77/23.44 tff(25269,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v90(constB159, bitIndex2) | v100(constB160) | (~v90(constB160, bitIndex2)))),
% 34.77/23.44 inference(quant_inst,[status(thm)],[])).
% 34.77/23.44 tff(25270,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex2))),
% 34.77/23.44 inference(modus_ponens,[status(thm)],[25269, 25268])).
% 34.77/23.44 tff(25271,plain,
% 34.77/23.44 (v90(constB159, bitIndex2) | v100(constB160) | (~v90(constB160, bitIndex2))),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25270, 413, 23971])).
% 34.77/23.44 tff(25272,plain,
% 34.77/23.44 (v90(constB159, bitIndex2)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25271, 25264, 25263])).
% 34.77/23.44 tff(25273,plain,
% 34.77/23.44 (v90(constB158, bitIndex2)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[24765, 25272])).
% 34.77/23.44 tff(25274,assumption,(v90(constB160, bitIndex0)), introduced(assumption)).
% 34.77/23.44 tff(25275,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB159, bitIndex0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB159, bitIndex0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex0)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25276,plain,
% 34.77/23.44 (((~nextState(constB159, constB160)) | v90(constB159, bitIndex0) | v100(constB160) | (~v90(constB160, bitIndex0))) <=> (v90(constB159, bitIndex0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex0)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25277,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v90(constB159, bitIndex0) | v100(constB160) | (~v90(constB160, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB159, bitIndex0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex0))))),
% 34.77/23.44 inference(monotonicity,[status(thm)],[25276])).
% 34.77/23.44 tff(25278,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v90(constB159, bitIndex0) | v100(constB160) | (~v90(constB160, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB159, bitIndex0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex0)))),
% 34.77/23.44 inference(transitivity,[status(thm)],[25277, 25275])).
% 34.77/23.44 tff(25279,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v90(constB159, bitIndex0) | v100(constB160) | (~v90(constB160, bitIndex0)))),
% 34.77/23.44 inference(quant_inst,[status(thm)],[])).
% 34.77/23.44 tff(25280,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB159, bitIndex0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex0))),
% 34.77/23.44 inference(modus_ponens,[status(thm)],[25279, 25278])).
% 34.77/23.44 tff(25281,plain,
% 34.77/23.44 (v90(constB159, bitIndex0) | v100(constB160) | (~v90(constB160, bitIndex0))),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25280, 455, 23971])).
% 34.77/23.44 tff(25282,plain,
% 34.77/23.44 (v90(constB159, bitIndex0)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25281, 25264, 25274])).
% 34.77/23.44 tff(25283,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25284,plain,
% 34.77/23.44 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0))) <=> (v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25285,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0))))),
% 34.77/23.44 inference(monotonicity,[status(thm)],[25284])).
% 34.77/23.44 tff(25286,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 34.77/23.44 inference(transitivity,[status(thm)],[25285, 25283])).
% 34.77/23.44 tff(25287,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 34.77/23.44 inference(quant_inst,[status(thm)],[])).
% 34.77/23.44 tff(25288,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0))),
% 34.77/23.44 inference(modus_ponens,[status(thm)],[25287, 25286])).
% 34.77/23.44 tff(25289,plain,
% 34.77/23.44 (v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0))),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25288, 455, 23787])).
% 34.77/23.44 tff(25290,plain,
% 34.77/23.44 (v90(constB158, bitIndex0) | (~v90(constB159, bitIndex0))),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25289, 24757])).
% 34.77/23.44 tff(25291,plain,
% 34.77/23.44 (v90(constB158, bitIndex0)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25290, 25282])).
% 34.77/23.44 tff(25292,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB157, bitIndex0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB157, bitIndex0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex0)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25293,plain,
% 34.77/23.44 (((~nextState(constB157, constB158)) | v90(constB157, bitIndex0) | v100(constB158) | (~v90(constB158, bitIndex0))) <=> (v90(constB157, bitIndex0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex0)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25294,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v90(constB157, bitIndex0) | v100(constB158) | (~v90(constB158, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB157, bitIndex0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex0))))),
% 34.77/23.44 inference(monotonicity,[status(thm)],[25293])).
% 34.77/23.44 tff(25295,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v90(constB157, bitIndex0) | v100(constB158) | (~v90(constB158, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB157, bitIndex0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex0)))),
% 34.77/23.44 inference(transitivity,[status(thm)],[25294, 25292])).
% 34.77/23.44 tff(25296,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v90(constB157, bitIndex0) | v100(constB158) | (~v90(constB158, bitIndex0)))),
% 34.77/23.44 inference(quant_inst,[status(thm)],[])).
% 34.77/23.44 tff(25297,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB157, bitIndex0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex0))),
% 34.77/23.44 inference(modus_ponens,[status(thm)],[25296, 25295])).
% 34.77/23.44 tff(25298,plain,
% 34.77/23.44 (v90(constB157, bitIndex0) | v100(constB158) | (~v90(constB158, bitIndex0))),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25297, 455, 57])).
% 34.77/23.44 tff(25299,plain,
% 34.77/23.44 (v100(constB158)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25298, 25291, 25063])).
% 34.77/23.44 tff(25300,plain,
% 34.77/23.44 (v129(constB158, bitIndex2)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[24743, 722, 25299, 25273])).
% 34.77/23.44 tff(25301,plain,
% 34.77/23.44 (v127(constB157, bitIndex2)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[24736, 25300])).
% 34.77/23.44 tff(25302,plain,
% 34.77/23.44 ((~v127(constB157, bitIndex2)) | v26(constB157)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[24730, 689, 25252])).
% 34.77/23.44 tff(25303,plain,
% 34.77/23.44 (v26(constB157)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25302, 25301])).
% 34.77/23.44 tff(25304,plain,
% 34.77/23.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25305,plain,
% 34.77/23.44 (((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0)) <=> ((~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25306,plain,
% 34.77/23.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158))))),
% 34.77/23.44 inference(monotonicity,[status(thm)],[25305])).
% 34.77/23.44 tff(25307,plain,
% 34.77/23.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))),
% 34.77/23.44 inference(transitivity,[status(thm)],[25306, 25304])).
% 34.77/23.44 tff(25308,plain,
% 34.77/23.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0))),
% 34.77/23.44 inference(quant_inst,[status(thm)],[])).
% 34.77/23.44 tff(25309,plain,
% 34.77/23.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158))),
% 34.77/23.44 inference(modus_ponens,[status(thm)],[25308, 25307])).
% 34.77/23.44 tff(25310,plain,
% 34.77/23.44 (v129(constB158, bitIndex0)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25309, 1215, 25299, 25291])).
% 34.77/23.44 tff(25311,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25312,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0)))),
% 34.77/23.44 inference(quant_inst,[status(thm)],[])).
% 34.77/23.44 tff(25313,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0))),
% 34.77/23.44 inference(modus_ponens,[status(thm)],[25312, 25311])).
% 34.77/23.44 tff(25314,plain,
% 34.77/23.44 (v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0))),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25313, 1200, 57])).
% 34.77/23.44 tff(25315,plain,
% 34.77/23.44 (v127(constB157, bitIndex0)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25314, 25310])).
% 34.77/23.44 tff(25316,plain,
% 34.77/23.44 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB157)) | (~v127(constB157, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB157)) | (~v127(constB157, bitIndex0)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25317,plain,
% 34.77/23.44 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB157)) | (~v127(constB157, bitIndex0)))),
% 34.77/23.44 inference(quant_inst,[status(thm)],[])).
% 34.77/23.44 tff(25318,plain,
% 34.77/23.44 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB157)) | (~v127(constB157, bitIndex0))),
% 34.77/23.44 inference(modus_ponens,[status(thm)],[25317, 25316])).
% 34.77/23.44 tff(25319,plain,
% 34.77/23.44 ($false),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25318, 3012, 25315, 25303])).
% 34.77/23.44 tff(25320,plain,(v100(constB160) | v130(constB157, bitIndex2) | v90(constB157, bitIndex0) | (~v90(constB160, bitIndex2)) | (~v90(constB160, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.77/23.44 tff(25321,plain,
% 34.77/23.44 (v100(constB160)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25320, 25262, 25063, 25252, 25251])).
% 34.77/23.44 tff(25322,plain,
% 34.77/23.44 (v129(constB160, bitIndex0) | (~v100(constB160))),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25023, 1215, 25251])).
% 34.77/23.44 tff(25323,plain,
% 34.77/23.44 (v129(constB160, bitIndex0)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25322, 25321])).
% 34.77/23.44 tff(25324,plain,
% 34.77/23.44 (v127(constB159, bitIndex0)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25016, 25323])).
% 34.77/23.44 tff(25325,plain,
% 34.77/23.44 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB159)) | (~v127(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB159)) | (~v127(constB159, bitIndex0)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25326,plain,
% 34.77/23.44 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB159)) | (~v127(constB159, bitIndex0)))),
% 34.77/23.44 inference(quant_inst,[status(thm)],[])).
% 34.77/23.44 tff(25327,plain,
% 34.77/23.44 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB159)) | (~v127(constB159, bitIndex0))),
% 34.77/23.44 inference(modus_ponens,[status(thm)],[25326, 25325])).
% 34.77/23.44 tff(25328,plain,
% 34.77/23.44 (~v26(constB159)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25327, 3012, 25324])).
% 34.77/23.44 tff(25329,assumption,(v90(constB162, bitIndex1)), introduced(assumption)).
% 34.77/23.44 tff(25330,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB161, bitIndex1) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB161, bitIndex1) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex1)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25331,plain,
% 34.77/23.44 (((~nextState(constB161, constB162)) | v90(constB161, bitIndex1) | v100(constB162) | (~v90(constB162, bitIndex1))) <=> (v90(constB161, bitIndex1) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex1)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25332,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB161, constB162)) | v90(constB161, bitIndex1) | v100(constB162) | (~v90(constB162, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB161, bitIndex1) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex1))))),
% 34.77/23.44 inference(monotonicity,[status(thm)],[25331])).
% 34.77/23.44 tff(25333,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB161, constB162)) | v90(constB161, bitIndex1) | v100(constB162) | (~v90(constB162, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB161, bitIndex1) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex1)))),
% 34.77/23.44 inference(transitivity,[status(thm)],[25332, 25330])).
% 34.77/23.44 tff(25334,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB161, constB162)) | v90(constB161, bitIndex1) | v100(constB162) | (~v90(constB162, bitIndex1)))),
% 34.77/23.44 inference(quant_inst,[status(thm)],[])).
% 34.77/23.44 tff(25335,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB161, bitIndex1) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex1))),
% 34.77/23.44 inference(modus_ponens,[status(thm)],[25334, 25333])).
% 34.77/23.44 tff(25336,plain,
% 34.77/23.44 (v90(constB161, bitIndex1) | v100(constB162) | (~v90(constB162, bitIndex1))),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25335, 434, 25057])).
% 34.77/23.44 tff(25337,plain,
% 34.77/23.44 (v90(constB161, bitIndex1)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25336, 25067, 25329])).
% 34.77/23.44 tff(25338,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex1)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25339,plain,
% 34.77/23.44 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex1) | v100(constB161) | (~v90(constB161, bitIndex1))) <=> (v90(constB160, bitIndex1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex1)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25340,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex1) | v100(constB161) | (~v90(constB161, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex1))))),
% 34.77/23.44 inference(monotonicity,[status(thm)],[25339])).
% 34.77/23.44 tff(25341,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex1) | v100(constB161) | (~v90(constB161, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex1)))),
% 34.77/23.44 inference(transitivity,[status(thm)],[25340, 25338])).
% 34.77/23.44 tff(25342,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex1) | v100(constB161) | (~v90(constB161, bitIndex1)))),
% 34.77/23.44 inference(quant_inst,[status(thm)],[])).
% 34.77/23.44 tff(25343,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex1))),
% 34.77/23.44 inference(modus_ponens,[status(thm)],[25342, 25341])).
% 34.77/23.44 tff(25344,plain,
% 34.77/23.44 (v90(constB160, bitIndex1) | v100(constB161) | (~v90(constB161, bitIndex1))),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25343, 434, 24003])).
% 34.77/23.44 tff(25345,plain,
% 34.77/23.44 (v90(constB160, bitIndex1) | (~v90(constB161, bitIndex1))),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25344, 24960])).
% 34.77/23.44 tff(25346,plain,
% 34.77/23.44 (v90(constB160, bitIndex1)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25345, 25337])).
% 34.77/23.44 tff(25347,plain,
% 34.77/23.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | v129(constB160, bitIndex1) | (~v100(constB160)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | v129(constB160, bitIndex1) | (~v100(constB160)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25348,plain,
% 34.77/23.44 (((~v90(constB160, bitIndex1)) | (~v100(constB160)) | v129(constB160, bitIndex1)) <=> ((~v90(constB160, bitIndex1)) | v129(constB160, bitIndex1) | (~v100(constB160)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25349,plain,
% 34.77/23.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~v100(constB160)) | v129(constB160, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | v129(constB160, bitIndex1) | (~v100(constB160))))),
% 34.77/23.44 inference(monotonicity,[status(thm)],[25348])).
% 34.77/23.44 tff(25350,plain,
% 34.77/23.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~v100(constB160)) | v129(constB160, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | v129(constB160, bitIndex1) | (~v100(constB160)))),
% 34.77/23.44 inference(transitivity,[status(thm)],[25349, 25347])).
% 34.77/23.44 tff(25351,plain,
% 34.77/23.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~v100(constB160)) | v129(constB160, bitIndex1))),
% 34.77/23.44 inference(quant_inst,[status(thm)],[])).
% 34.77/23.44 tff(25352,plain,
% 34.77/23.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | v129(constB160, bitIndex1) | (~v100(constB160))),
% 34.77/23.44 inference(modus_ponens,[status(thm)],[25351, 25350])).
% 34.77/23.44 tff(25353,plain,
% 34.77/23.44 (v129(constB160, bitIndex1) | (~v100(constB160))),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25352, 814, 25346])).
% 34.77/23.44 tff(25354,plain,
% 34.77/23.44 (v129(constB160, bitIndex1)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25353, 25321])).
% 34.77/23.44 tff(25355,plain,
% 34.77/23.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex1) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex1) | (~v129(constB160, bitIndex1)))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25356,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex1) | (~v129(constB160, bitIndex1)))),
% 34.77/23.44 inference(quant_inst,[status(thm)],[])).
% 34.77/23.44 tff(25357,plain,
% 34.77/23.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex1) | (~v129(constB160, bitIndex1))),
% 34.77/23.44 inference(modus_ponens,[status(thm)],[25356, 25355])).
% 34.77/23.44 tff(25358,plain,
% 34.77/23.44 (v127(constB159, bitIndex1) | (~v129(constB160, bitIndex1))),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25357, 799, 23971])).
% 34.77/23.44 tff(25359,plain,
% 34.77/23.44 (v127(constB159, bitIndex1)),
% 34.77/23.44 inference(unit_resolution,[status(thm)],[25358, 25354])).
% 34.77/23.44 tff(25360,plain,
% 34.77/23.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB159, bitIndex1)) | v26(constB159) | v130(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB159, bitIndex1)) | v26(constB159) | v130(constB159, bitIndex1))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25361,plain,
% 34.77/23.44 ((v26(constB159) | v130(constB159, bitIndex1) | (~v127(constB159, bitIndex1))) <=> ((~v127(constB159, bitIndex1)) | v26(constB159) | v130(constB159, bitIndex1))),
% 34.77/23.44 inference(rewrite,[status(thm)],[])).
% 34.77/23.44 tff(25362,plain,
% 34.77/23.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB159) | v130(constB159, bitIndex1) | (~v127(constB159, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB159, bitIndex1)) | v26(constB159) | v130(constB159, bitIndex1)))),
% 34.77/23.45 inference(monotonicity,[status(thm)],[25361])).
% 34.77/23.45 tff(25363,plain,
% 34.77/23.45 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB159) | v130(constB159, bitIndex1) | (~v127(constB159, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB159, bitIndex1)) | v26(constB159) | v130(constB159, bitIndex1))),
% 34.77/23.45 inference(transitivity,[status(thm)],[25362, 25360])).
% 34.77/23.45 tff(25364,plain,
% 34.77/23.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB159) | v130(constB159, bitIndex1) | (~v127(constB159, bitIndex1)))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25365,plain,
% 34.77/23.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB159, bitIndex1)) | v26(constB159) | v130(constB159, bitIndex1)),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25364, 25363])).
% 34.77/23.45 tff(25366,plain,
% 34.77/23.45 (v130(constB159, bitIndex1)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25365, 781, 25359, 25328])).
% 34.77/23.45 tff(25367,plain,
% 34.77/23.45 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB159)) | (~v130(constB159, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB159)) | (~v130(constB159, bitIndex1)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25368,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB159)) | (~v130(constB159, bitIndex1)))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25369,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB159)) | (~v130(constB159, bitIndex1))),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25368, 25367])).
% 34.77/23.45 tff(25370,plain,
% 34.77/23.45 (~v123(constB159)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25369, 1909, 25366])).
% 34.77/23.45 tff(25371,plain,
% 34.77/23.45 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB159)) | (~v130(constB159, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB159)) | (~v130(constB159, bitIndex1)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25372,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB159)) | (~v130(constB159, bitIndex1)))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25373,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB159)) | (~v130(constB159, bitIndex1))),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25372, 25371])).
% 34.77/23.45 tff(25374,plain,
% 34.77/23.45 (~v119(constB159)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25373, 767, 25366])).
% 34.77/23.45 tff(25375,plain,
% 34.77/23.45 (v130(constB159, bitIndex0)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25010, 1182, 25324, 25328])).
% 34.77/23.45 tff(25376,plain,
% 34.77/23.45 (~v120(constB159)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25003, 1168, 25375])).
% 34.77/23.45 tff(25377,plain,
% 34.77/23.45 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB159)) | (~v130(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB159)) | (~v130(constB159, bitIndex0)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25378,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB159)) | (~v130(constB159, bitIndex0)))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25379,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB159)) | (~v130(constB159, bitIndex0))),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25378, 25377])).
% 34.77/23.45 tff(25380,plain,
% 34.77/23.45 (~v122(constB159)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25379, 1721, 25375])).
% 34.77/23.45 tff(25381,plain,
% 34.77/23.45 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB159)) | (~v130(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB159)) | (~v130(constB159, bitIndex0)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25382,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB159)) | (~v130(constB159, bitIndex0)))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25383,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB159)) | (~v130(constB159, bitIndex0))),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25382, 25381])).
% 34.77/23.45 tff(25384,plain,
% 34.77/23.45 (~v124(constB159)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25383, 2277, 25375])).
% 34.77/23.45 tff(25385,plain,
% 34.77/23.45 (v129(constB160, bitIndex2) | (~v100(constB160))),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[24943, 722, 25262])).
% 34.77/23.45 tff(25386,plain,
% 34.77/23.45 (v129(constB160, bitIndex2)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25385, 25321])).
% 34.77/23.45 tff(25387,plain,
% 34.77/23.45 (v127(constB159, bitIndex2)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[24936, 25386])).
% 34.77/23.45 tff(25388,plain,
% 34.77/23.45 (v130(constB159, bitIndex2)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[24930, 689, 25387, 25328])).
% 34.77/23.45 tff(25389,plain,
% 34.77/23.45 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB159) | v121(constB159) | v124(constB159) | v122(constB159) | v123(constB159) | v120(constB159) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB159) | v121(constB159) | v124(constB159) | v122(constB159) | v123(constB159) | v120(constB159) | (~v130(constB159, bitIndex2)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25390,plain,
% 34.77/23.45 ((v120(constB159) | v119(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, bitIndex2))) <=> (v119(constB159) | v121(constB159) | v124(constB159) | v122(constB159) | v123(constB159) | v120(constB159) | (~v130(constB159, bitIndex2)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25391,plain,
% 34.77/23.45 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB159) | v119(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB159) | v121(constB159) | v124(constB159) | v122(constB159) | v123(constB159) | v120(constB159) | (~v130(constB159, bitIndex2))))),
% 34.77/23.45 inference(monotonicity,[status(thm)],[25390])).
% 34.77/23.45 tff(25392,plain,
% 34.77/23.45 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB159) | v119(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB159) | v121(constB159) | v124(constB159) | v122(constB159) | v123(constB159) | v120(constB159) | (~v130(constB159, bitIndex2)))),
% 34.77/23.45 inference(transitivity,[status(thm)],[25391, 25389])).
% 34.77/23.45 tff(25393,plain,
% 34.77/23.45 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB159) | v119(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, bitIndex2)))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25394,plain,
% 34.77/23.45 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB159) | v121(constB159) | v124(constB159) | v122(constB159) | v123(constB159) | v120(constB159) | (~v130(constB159, bitIndex2))),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25393, 25392])).
% 34.77/23.45 tff(25395,plain,
% 34.77/23.45 (v121(constB159)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25394, 2244, 25388, 25384, 25380, 25376, 25374, 25370])).
% 34.77/23.45 tff(25396,plain,
% 34.77/23.45 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB159)) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB159)) | (~v130(constB159, bitIndex2)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25397,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB159)) | (~v130(constB159, bitIndex2)))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25398,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB159)) | (~v130(constB159, bitIndex2))),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25397, 25396])).
% 34.77/23.45 tff(25399,plain,
% 34.77/23.45 ($false),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25398, 1342, 25388, 25395])).
% 34.77/23.45 tff(25400,plain,(v100(constB162) | v90(constB157, bitIndex0) | v130(constB157, bitIndex2) | (~v90(constB162, bitIndex2)) | (~v90(constB162, bitIndex1)) | (~v90(constB162, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.77/23.45 tff(25401,plain,
% 34.77/23.45 (v130(constB157, bitIndex2)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25400, 25241, 25067, 25224, 25196, 25063])).
% 34.77/23.45 tff(25402,assumption,(~v130(constB157, bitIndex1)), introduced(assumption)).
% 34.77/23.45 tff(25403,assumption,(v90(constB160, bitIndex1)), introduced(assumption)).
% 34.77/23.45 tff(25404,plain,
% 34.77/23.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB159, bitIndex1) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB159, bitIndex1) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex1)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25405,plain,
% 34.77/23.45 (((~nextState(constB159, constB160)) | v90(constB159, bitIndex1) | v100(constB160) | (~v90(constB160, bitIndex1))) <=> (v90(constB159, bitIndex1) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex1)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25406,plain,
% 34.77/23.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB159, constB160)) | v90(constB159, bitIndex1) | v100(constB160) | (~v90(constB160, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB159, bitIndex1) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex1))))),
% 34.77/23.45 inference(monotonicity,[status(thm)],[25405])).
% 34.77/23.45 tff(25407,plain,
% 34.77/23.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB159, constB160)) | v90(constB159, bitIndex1) | v100(constB160) | (~v90(constB160, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB159, bitIndex1) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex1)))),
% 34.77/23.45 inference(transitivity,[status(thm)],[25406, 25404])).
% 34.77/23.45 tff(25408,plain,
% 34.77/23.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB159, constB160)) | v90(constB159, bitIndex1) | v100(constB160) | (~v90(constB160, bitIndex1)))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25409,plain,
% 34.77/23.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB159, bitIndex1) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, bitIndex1))),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25408, 25407])).
% 34.77/23.45 tff(25410,plain,
% 34.77/23.45 (v90(constB159, bitIndex1) | v100(constB160) | (~v90(constB160, bitIndex1))),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25409, 434, 23971])).
% 34.77/23.45 tff(25411,plain,
% 34.77/23.45 (v90(constB159, bitIndex1)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25410, 25264, 25403])).
% 34.77/23.45 tff(25412,plain,
% 34.77/23.45 (v90(constB158, bitIndex1)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[24803, 25411])).
% 34.77/23.45 tff(25413,plain,
% 34.77/23.45 (v129(constB158, bitIndex1)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[24793, 814, 25299, 25412])).
% 34.77/23.45 tff(25414,plain,
% 34.77/23.45 (v127(constB157, bitIndex1)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[24786, 25413])).
% 34.77/23.45 tff(25415,plain,
% 34.77/23.45 ((~v127(constB157, bitIndex1)) | v26(constB157)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[24780, 781, 25402])).
% 34.77/23.45 tff(25416,plain,
% 34.77/23.45 (v26(constB157)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25415, 25414])).
% 34.77/23.45 tff(25417,plain,
% 34.77/23.45 ($false),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25318, 3012, 25315, 25416])).
% 34.77/23.45 tff(25418,plain,(v100(constB160) | v130(constB157, bitIndex1) | v90(constB157, bitIndex0) | (~v90(constB160, bitIndex1)) | (~v90(constB160, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.77/23.45 tff(25419,plain,
% 34.77/23.45 (v100(constB160)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25418, 25346, 25063, 25402, 25251])).
% 34.77/23.45 tff(25420,plain,
% 34.77/23.45 (v129(constB160, bitIndex0)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25322, 25419])).
% 34.77/23.45 tff(25421,plain,
% 34.77/23.45 (v127(constB159, bitIndex0)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25016, 25420])).
% 34.77/23.45 tff(25422,plain,
% 34.77/23.45 (~v26(constB159)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25327, 3012, 25421])).
% 34.77/23.45 tff(25423,plain,
% 34.77/23.45 (v129(constB160, bitIndex1)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25353, 25419])).
% 34.77/23.45 tff(25424,plain,
% 34.77/23.45 (v127(constB159, bitIndex1)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25358, 25423])).
% 34.77/23.45 tff(25425,plain,
% 34.77/23.45 (v130(constB159, bitIndex1)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25365, 781, 25424, 25422])).
% 34.77/23.45 tff(25426,plain,
% 34.77/23.45 (~v123(constB159)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25369, 1909, 25425])).
% 34.77/23.45 tff(25427,plain,
% 34.77/23.45 (~v119(constB159)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25373, 767, 25425])).
% 34.77/23.45 tff(25428,plain,
% 34.77/23.45 (v130(constB159, bitIndex0)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25010, 1182, 25421, 25422])).
% 34.77/23.45 tff(25429,plain,
% 34.77/23.45 (~v120(constB159)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25003, 1168, 25428])).
% 34.77/23.45 tff(25430,plain,
% 34.77/23.45 (~v122(constB159)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25379, 1721, 25428])).
% 34.77/23.45 tff(25431,plain,
% 34.77/23.45 (~v124(constB159)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25383, 2277, 25428])).
% 34.77/23.45 tff(25432,plain,
% 34.77/23.45 (v129(constB160, bitIndex2)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25385, 25419])).
% 34.77/23.45 tff(25433,plain,
% 34.77/23.45 (v127(constB159, bitIndex2)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[24936, 25432])).
% 34.77/23.45 tff(25434,plain,
% 34.77/23.45 (v130(constB159, bitIndex2)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[24930, 689, 25433, 25422])).
% 34.77/23.45 tff(25435,plain,
% 34.77/23.45 (v121(constB159)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25394, 2244, 25434, 25431, 25430, 25429, 25427, 25426])).
% 34.77/23.45 tff(25436,plain,
% 34.77/23.45 ($false),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25398, 1342, 25434, 25435])).
% 34.77/23.45 tff(25437,plain,(v100(constB162) | v90(constB157, bitIndex0) | v130(constB157, bitIndex1) | (~v90(constB162, bitIndex2)) | (~v90(constB162, bitIndex1)) | (~v90(constB162, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.77/23.45 tff(25438,plain,
% 34.77/23.45 (v130(constB157, bitIndex1)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25437, 25241, 25067, 25224, 25196, 25063])).
% 34.77/23.45 tff(25439,assumption,(v130(constB157, bitIndex1)), introduced(assumption)).
% 34.77/23.45 tff(25440,plain,
% 34.77/23.45 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v130(constB157, bitIndex1)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25441,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v130(constB157, bitIndex1)))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25442,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v130(constB157, bitIndex1))),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25441, 25440])).
% 34.77/23.45 tff(25443,plain,
% 34.77/23.45 (~v119(constB157)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25442, 767, 25439])).
% 34.77/23.45 tff(25444,plain,
% 34.77/23.45 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB157)) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB157)) | (~v130(constB157, bitIndex1)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25445,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB157)) | (~v130(constB157, bitIndex1)))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25446,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB157)) | (~v130(constB157, bitIndex1))),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25445, 25444])).
% 34.77/23.45 tff(25447,plain,
% 34.77/23.45 (~v123(constB157)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25446, 1909, 25439])).
% 34.77/23.45 tff(25448,assumption,(v130(constB157, bitIndex2)), introduced(assumption)).
% 34.77/23.45 tff(25449,plain,
% 34.77/23.45 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB157)) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB157)) | (~v130(constB157, bitIndex2)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25450,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB157)) | (~v130(constB157, bitIndex2)))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25451,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB157)) | (~v130(constB157, bitIndex2))),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25450, 25449])).
% 34.77/23.45 tff(25452,plain,
% 34.77/23.45 (~v121(constB157)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25451, 1342, 25448])).
% 34.77/23.45 tff(25453,assumption,(~v120(constB157)), introduced(assumption)).
% 34.77/23.45 tff(25454,assumption,(~v122(constB157)), introduced(assumption)).
% 34.77/23.45 tff(25455,assumption,(~v124(constB157)), introduced(assumption)).
% 34.77/23.45 tff(25456,plain,
% 34.77/23.45 (v123(constB157) | v121(constB157) | v119(constB157) | (~v130(constB157, bitIndex1))),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[24772, 2448, 25455, 25454, 25453])).
% 34.77/23.45 tff(25457,plain,
% 34.77/23.45 ($false),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25456, 25452, 25447, 25443, 25439])).
% 34.77/23.45 tff(25458,plain,((~v130(constB157, bitIndex1)) | v124(constB157) | v122(constB157) | v120(constB157) | (~v130(constB157, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 34.77/23.45 tff(25459,plain,
% 34.77/23.45 ($false),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25458, 25438, 25401, 25066, 25065, 25064])).
% 34.77/23.45 tff(25460,plain,(v100(constB162) | v90(constB157, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.77/23.45 tff(25461,plain,
% 34.77/23.45 (v100(constB162)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25460, 23586])).
% 34.77/23.45 tff(25462,plain,
% 34.77/23.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25463,plain,
% 34.77/23.45 (((~v90(constB162, bitIndex2)) | (~v100(constB162)) | v129(constB162, bitIndex2)) <=> ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25464,plain,
% 34.77/23.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~v100(constB162)) | v129(constB162, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162))))),
% 34.77/23.45 inference(monotonicity,[status(thm)],[25463])).
% 34.77/23.45 tff(25465,plain,
% 34.77/23.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~v100(constB162)) | v129(constB162, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))),
% 34.77/23.45 inference(transitivity,[status(thm)],[25464, 25462])).
% 34.77/23.45 tff(25466,plain,
% 34.77/23.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~v100(constB162)) | v129(constB162, bitIndex2))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25467,plain,
% 34.77/23.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162))),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25466, 25465])).
% 34.77/23.45 tff(25468,plain,
% 34.77/23.45 ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25467, 722, 25461])).
% 34.77/23.45 tff(25469,plain,
% 34.77/23.45 (~v90(constB162, bitIndex2)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25468, 25062])).
% 34.77/23.45 tff(25470,plain,
% 34.77/23.45 ((~v1(constB163)) <=> (~v1(constB163))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25471,axiom,(~v1(constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 34.77/23.45 tff(25472,plain,
% 34.77/23.45 (~v1(constB163)),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25471, 25470])).
% 34.77/23.45 tff(25473,plain,
% 34.77/23.45 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25474,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 34.77/23.45 tff(25475,plain,
% 34.77/23.45 (nextState(constB162, constB163)),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25474, 25473])).
% 34.77/23.45 tff(25476,plain,
% 34.77/23.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25477,plain,
% 34.77/23.45 (((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25478,plain,
% 34.77/23.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))))),
% 34.77/23.45 inference(monotonicity,[status(thm)],[25477])).
% 34.77/23.45 tff(25479,plain,
% 34.77/23.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 34.77/23.45 inference(transitivity,[status(thm)],[25478, 25476])).
% 34.77/23.45 tff(25480,plain,
% 34.77/23.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25481,plain,
% 34.77/23.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25480, 25479])).
% 34.77/23.45 tff(25482,plain,
% 34.77/23.45 (~v101(constB163)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25481, 381, 25475, 25472])).
% 34.77/23.45 tff(25483,plain,
% 34.77/23.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25484,plain,
% 34.77/23.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25485,plain,
% 34.77/23.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163))),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25484, 25483])).
% 34.77/23.45 tff(25486,plain,
% 34.77/23.45 (v101(constB163) | (~v100(constB163))),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25485, 398, 25475])).
% 34.77/23.45 tff(25487,plain,
% 34.77/23.45 (~v100(constB163)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25486, 25482])).
% 34.77/23.45 tff(25488,plain,
% 34.77/23.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25489,plain,
% 34.77/23.45 (((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2))) <=> (v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25490,plain,
% 34.77/23.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2))))),
% 34.77/23.45 inference(monotonicity,[status(thm)],[25489])).
% 34.77/23.45 tff(25491,plain,
% 34.77/23.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 34.77/23.45 inference(transitivity,[status(thm)],[25490, 25488])).
% 34.77/23.45 tff(25492,plain,
% 34.77/23.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25493,plain,
% 34.77/23.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2))),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25492, 25491])).
% 34.77/23.45 tff(25494,plain,
% 34.77/23.45 (v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2))),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25493, 413, 25475])).
% 34.77/23.45 tff(25495,plain,
% 34.77/23.45 (v90(constB162, bitIndex2) | (~v90(constB163, bitIndex2))),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25494, 25487])).
% 34.77/23.45 tff(25496,plain,
% 34.77/23.45 (~v90(constB163, bitIndex2)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25495, 25469])).
% 34.77/23.45 tff(25497,plain,
% 34.77/23.45 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB161)) | v130(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB161)) | v130(constB161, bitIndex1))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25498,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB161)) | v130(constB161, bitIndex1))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25499,plain,
% 34.77/23.45 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB161)) | v130(constB161, bitIndex1)),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25498, 25497])).
% 34.77/23.45 tff(25500,plain,
% 34.77/23.45 (v130(constB161, bitIndex1)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25499, 1404, 25038])).
% 34.77/23.45 tff(25501,plain,
% 34.77/23.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25502,plain,
% 34.77/23.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25503,plain,
% 34.77/23.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1)),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25502, 25501])).
% 34.77/23.45 tff(25504,plain,
% 34.77/23.45 ((~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25503, 1101, 25046])).
% 34.77/23.45 tff(25505,plain,
% 34.77/23.45 (v127(constB161, bitIndex1)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25504, 25500])).
% 34.77/23.45 tff(25506,plain,
% 34.77/23.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25507,plain,
% 34.77/23.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1))),
% 34.77/23.45 inference(quant_inst,[status(thm)],[])).
% 34.77/23.45 tff(25508,plain,
% 34.77/23.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1)),
% 34.77/23.45 inference(modus_ponens,[status(thm)],[25507, 25506])).
% 34.77/23.45 tff(25509,plain,
% 34.77/23.45 ((~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25508, 1116, 25057])).
% 34.77/23.45 tff(25510,plain,
% 34.77/23.45 (v129(constB162, bitIndex1)),
% 34.77/23.45 inference(unit_resolution,[status(thm)],[25509, 25505])).
% 34.77/23.45 tff(25511,plain,
% 34.77/23.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25512,plain,
% 34.77/23.45 ((v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1))) <=> (v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))),
% 34.77/23.45 inference(rewrite,[status(thm)],[])).
% 34.77/23.45 tff(25513,plain,
% 34.77/23.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162))))),
% 34.77/23.45 inference(monotonicity,[status(thm)],[25512])).
% 34.77/23.45 tff(25514,plain,
% 34.77/23.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))),
% 34.77/23.46 inference(transitivity,[status(thm)],[25513, 25511])).
% 34.77/23.46 tff(25515,plain,
% 34.77/23.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1)))),
% 34.77/23.46 inference(quant_inst,[status(thm)],[])).
% 34.77/23.46 tff(25516,plain,
% 34.77/23.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162))),
% 34.77/23.46 inference(modus_ponens,[status(thm)],[25515, 25514])).
% 34.77/23.46 tff(25517,plain,
% 34.77/23.46 (v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1))),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25516, 1131, 25461])).
% 34.77/23.46 tff(25518,plain,
% 34.77/23.46 (v90(constB162, bitIndex1)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25517, 25510])).
% 34.77/23.46 tff(25519,plain,
% 34.77/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))),
% 34.77/23.46 inference(rewrite,[status(thm)],[])).
% 34.77/23.46 tff(25520,plain,
% 34.77/23.46 (((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1)) <=> ((~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))),
% 34.77/23.46 inference(rewrite,[status(thm)],[])).
% 34.77/23.46 tff(25521,plain,
% 34.77/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1)))),
% 34.77/23.46 inference(monotonicity,[status(thm)],[25520])).
% 34.77/23.46 tff(25522,plain,
% 34.77/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))),
% 34.77/23.46 inference(transitivity,[status(thm)],[25521, 25519])).
% 34.77/23.46 tff(25523,plain,
% 34.77/23.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1))),
% 34.77/23.46 inference(quant_inst,[status(thm)],[])).
% 34.77/23.46 tff(25524,plain,
% 34.77/23.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1)),
% 34.77/23.46 inference(modus_ponens,[status(thm)],[25523, 25522])).
% 34.77/23.46 tff(25525,plain,
% 34.77/23.46 ((~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25524, 1149, 25475])).
% 34.77/23.46 tff(25526,plain,
% 34.77/23.46 ((~v90(constB162, bitIndex1)) | v90(constB163, bitIndex1)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25525, 25487])).
% 34.77/23.46 tff(25527,plain,
% 34.77/23.46 (v90(constB163, bitIndex1)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25526, 25518])).
% 34.77/23.46 tff(25528,plain,
% 34.77/23.46 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB161)) | v130(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB161)) | v130(constB161, bitIndex0))),
% 34.77/23.46 inference(rewrite,[status(thm)],[])).
% 34.77/23.46 tff(25529,plain,
% 34.77/23.46 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB161)) | v130(constB161, bitIndex0))),
% 34.77/23.46 inference(quant_inst,[status(thm)],[])).
% 34.77/23.46 tff(25530,plain,
% 34.77/23.46 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB161)) | v130(constB161, bitIndex0)),
% 34.77/23.46 inference(modus_ponens,[status(thm)],[25529, 25528])).
% 34.77/23.46 tff(25531,plain,
% 34.77/23.46 (v130(constB161, bitIndex0)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25530, 1445, 25038])).
% 34.77/23.46 tff(25532,plain,
% 34.77/23.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))),
% 34.77/23.46 inference(rewrite,[status(thm)],[])).
% 34.77/23.46 tff(25533,plain,
% 34.77/23.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))),
% 34.77/23.46 inference(quant_inst,[status(thm)],[])).
% 34.77/23.46 tff(25534,plain,
% 34.77/23.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0)),
% 34.77/23.46 inference(modus_ponens,[status(thm)],[25533, 25532])).
% 34.77/23.46 tff(25535,plain,
% 34.77/23.46 ((~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25534, 855, 25046])).
% 34.77/23.46 tff(25536,plain,
% 34.77/23.46 (v127(constB161, bitIndex0)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25535, 25531])).
% 34.77/23.46 tff(25537,plain,
% 34.77/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))),
% 34.77/23.46 inference(rewrite,[status(thm)],[])).
% 34.77/23.46 tff(25538,plain,
% 34.77/23.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))),
% 34.77/23.46 inference(quant_inst,[status(thm)],[])).
% 34.77/23.46 tff(25539,plain,
% 34.77/23.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0)),
% 34.77/23.46 inference(modus_ponens,[status(thm)],[25538, 25537])).
% 34.77/23.46 tff(25540,plain,
% 34.77/23.46 ((~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25539, 870, 25057])).
% 34.77/23.46 tff(25541,plain,
% 34.77/23.46 (v129(constB162, bitIndex0)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25540, 25536])).
% 34.77/23.46 tff(25542,plain,
% 34.77/23.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))),
% 34.77/23.46 inference(rewrite,[status(thm)],[])).
% 34.77/23.46 tff(25543,plain,
% 34.77/23.46 ((v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0))) <=> (v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))),
% 34.77/23.46 inference(rewrite,[status(thm)],[])).
% 34.77/23.46 tff(25544,plain,
% 34.77/23.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162))))),
% 34.77/23.46 inference(monotonicity,[status(thm)],[25543])).
% 34.77/23.46 tff(25545,plain,
% 34.77/23.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))),
% 34.77/23.46 inference(transitivity,[status(thm)],[25544, 25542])).
% 34.77/23.46 tff(25546,plain,
% 34.77/23.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0)))),
% 34.77/23.46 inference(quant_inst,[status(thm)],[])).
% 34.77/23.46 tff(25547,plain,
% 34.77/23.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162))),
% 34.77/23.46 inference(modus_ponens,[status(thm)],[25546, 25545])).
% 34.77/23.46 tff(25548,plain,
% 34.77/23.46 (v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0))),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25547, 885, 25461])).
% 34.77/23.46 tff(25549,plain,
% 34.77/23.46 (v90(constB162, bitIndex0)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25548, 25541])).
% 34.77/23.46 tff(25550,plain,
% 34.77/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))),
% 34.77/23.46 inference(rewrite,[status(thm)],[])).
% 34.77/23.46 tff(25551,plain,
% 34.77/23.46 (((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0)) <=> ((~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))),
% 34.77/23.46 inference(rewrite,[status(thm)],[])).
% 34.77/23.46 tff(25552,plain,
% 34.77/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0)))),
% 34.77/23.46 inference(monotonicity,[status(thm)],[25551])).
% 34.77/23.46 tff(25553,plain,
% 34.77/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))),
% 34.77/23.46 inference(transitivity,[status(thm)],[25552, 25550])).
% 34.77/23.46 tff(25554,plain,
% 34.77/23.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0))),
% 34.77/23.46 inference(quant_inst,[status(thm)],[])).
% 34.77/23.46 tff(25555,plain,
% 34.77/23.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0)),
% 34.77/23.46 inference(modus_ponens,[status(thm)],[25554, 25553])).
% 34.77/23.46 tff(25556,plain,
% 34.77/23.46 ((~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25555, 903, 25475])).
% 34.77/23.46 tff(25557,plain,
% 34.77/23.46 ((~v90(constB162, bitIndex0)) | v90(constB163, bitIndex0)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25556, 25487])).
% 34.77/23.46 tff(25558,plain,
% 34.77/23.46 (v90(constB163, bitIndex0)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25557, 25549])).
% 34.77/23.46 tff(25559,plain,
% 34.77/23.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163))),
% 34.77/23.46 inference(rewrite,[status(thm)],[])).
% 34.77/23.46 tff(25560,plain,
% 34.77/23.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163))),
% 34.77/23.46 inference(quant_inst,[status(thm)],[])).
% 34.77/23.46 tff(25561,plain,
% 34.77/23.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163)),
% 34.77/23.46 inference(modus_ponens,[status(thm)],[25560, 25559])).
% 34.77/23.46 tff(25562,plain,
% 34.77/23.46 (v122(constB163)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25561, 1486, 25558, 25527, 25496])).
% 34.77/23.46 tff(25563,plain,
% 34.77/23.46 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB163) | (~v122(constB163)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB163) | (~v122(constB163)))),
% 34.77/23.46 inference(rewrite,[status(thm)],[])).
% 34.77/23.46 tff(25564,plain,
% 34.77/23.46 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB163) | (~v122(constB163)))),
% 34.77/23.46 inference(quant_inst,[status(thm)],[])).
% 34.77/23.46 tff(25565,plain,
% 34.77/23.46 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB163) | (~v122(constB163))),
% 34.77/23.46 inference(modus_ponens,[status(thm)],[25564, 25563])).
% 34.77/23.46 tff(25566,plain,
% 34.77/23.46 (v116(constB163)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25565, 1497, 25562])).
% 34.77/23.46 tff(25567,plain,
% 34.77/23.46 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB163) | (~v116(constB163)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB163) | (~v116(constB163)))),
% 34.77/23.46 inference(rewrite,[status(thm)],[])).
% 34.77/23.46 tff(25568,plain,
% 34.77/23.46 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB163) | (~v116(constB163)))),
% 34.77/23.46 inference(quant_inst,[status(thm)],[])).
% 34.77/23.46 tff(25569,plain,
% 34.77/23.46 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB163) | (~v116(constB163))),
% 34.77/23.46 inference(modus_ponens,[status(thm)],[25568, 25567])).
% 34.77/23.46 tff(25570,plain,
% 34.77/23.46 (v115(constB163)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25569, 520, 25566])).
% 34.77/23.46 tff(25571,plain,
% 34.77/23.46 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB163) | (~v115(constB163)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB163) | (~v115(constB163)))),
% 34.77/23.46 inference(rewrite,[status(thm)],[])).
% 34.77/23.46 tff(25572,plain,
% 34.77/23.46 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB163) | (~v115(constB163)))),
% 34.77/23.46 inference(quant_inst,[status(thm)],[])).
% 34.77/23.46 tff(25573,plain,
% 34.77/23.46 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB163) | (~v115(constB163))),
% 34.77/23.46 inference(modus_ponens,[status(thm)],[25572, 25571])).
% 34.77/23.46 tff(25574,plain,
% 34.77/23.46 (v114(constB163)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25573, 531, 25570])).
% 34.77/23.46 tff(25575,plain,
% 34.77/23.46 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB163) | (~v114(constB163)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB163) | (~v114(constB163)))),
% 34.77/23.46 inference(rewrite,[status(thm)],[])).
% 34.77/23.46 tff(25576,plain,
% 34.77/23.46 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB163) | (~v114(constB163)))),
% 34.77/23.46 inference(quant_inst,[status(thm)],[])).
% 34.77/23.46 tff(25577,plain,
% 34.77/23.46 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB163) | (~v114(constB163))),
% 34.77/23.46 inference(modus_ponens,[status(thm)],[25576, 25575])).
% 34.77/23.46 tff(25578,plain,
% 34.77/23.46 (v113(constB163)),
% 34.77/23.46 inference(unit_resolution,[status(thm)],[25577, 542, 25574])).
% 34.77/23.46 tff(25579,assumption,(v26(constB163)), introduced(assumption)).
% 34.77/23.46 tff(25580,plain,
% 34.77/23.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB163))),
% 34.87/23.46 inference(quant_inst,[status(thm)],[])).
% 34.87/23.46 tff(25581,plain,
% 34.87/23.46 ($false),
% 34.87/23.46 inference(unit_resolution,[status(thm)],[25580, 120, 25579])).
% 34.87/23.46 tff(25582,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 34.87/23.46 tff(25583,plain,
% 34.87/23.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | v112(constB163) | (~v113(constB163)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | v112(constB163) | (~v113(constB163)))),
% 34.87/23.46 inference(rewrite,[status(thm)],[])).
% 34.87/23.46 tff(25584,plain,
% 34.87/23.46 ((v26(constB163) | (~v113(constB163)) | v112(constB163)) <=> (v26(constB163) | v112(constB163) | (~v113(constB163)))),
% 34.87/23.46 inference(rewrite,[status(thm)],[])).
% 34.87/23.46 tff(25585,plain,
% 34.87/23.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | v112(constB163) | (~v113(constB163))))),
% 34.87/23.46 inference(monotonicity,[status(thm)],[25584])).
% 34.87/23.46 tff(25586,plain,
% 34.87/23.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | v112(constB163) | (~v113(constB163)))),
% 34.87/23.46 inference(transitivity,[status(thm)],[25585, 25583])).
% 34.87/23.46 tff(25587,plain,
% 34.87/23.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 34.87/23.46 inference(quant_inst,[status(thm)],[])).
% 34.87/23.46 tff(25588,plain,
% 34.87/23.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | v112(constB163) | (~v113(constB163))),
% 34.87/23.46 inference(modus_ponens,[status(thm)],[25587, 25586])).
% 34.87/23.46 tff(25589,plain,
% 34.87/23.46 (v112(constB163) | (~v113(constB163))),
% 34.87/23.46 inference(unit_resolution,[status(thm)],[25588, 556, 25582])).
% 34.87/23.46 tff(25590,plain,
% 34.87/23.46 (v112(constB163)),
% 34.87/23.46 inference(unit_resolution,[status(thm)],[25589, 25578])).
% 34.87/23.46 tff(25591,plain,
% 34.87/23.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB163) | (~v112(constB163)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB163) | (~v112(constB163)))),
% 34.87/23.46 inference(rewrite,[status(thm)],[])).
% 34.87/23.46 tff(25592,plain,
% 34.87/23.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB163) | (~v112(constB163)))),
% 34.87/23.46 inference(quant_inst,[status(thm)],[])).
% 34.87/23.46 tff(25593,plain,
% 34.87/23.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB163) | (~v112(constB163))),
% 34.87/23.46 inference(modus_ponens,[status(thm)],[25592, 25591])).
% 34.87/23.46 tff(25594,plain,
% 34.87/23.46 (v108(constB163)),
% 34.87/23.46 inference(unit_resolution,[status(thm)],[25593, 568, 25590])).
% 34.87/23.46 tff(25595,plain,
% 34.87/23.46 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 34.87/23.46 inference(rewrite,[status(thm)],[])).
% 34.87/23.46 tff(25596,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 34.87/23.46 tff(25597,plain,
% 34.87/23.46 (nextState(constB163, constB164)),
% 34.87/23.46 inference(modus_ponens,[status(thm)],[25596, 25595])).
% 34.87/23.46 tff(25598,plain,
% 34.87/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 34.87/23.46 inference(rewrite,[status(thm)],[])).
% 34.87/23.46 tff(25599,plain,
% 34.87/23.46 (((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164)) <=> ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 34.87/23.46 inference(rewrite,[status(thm)],[])).
% 34.87/23.46 tff(25600,plain,
% 34.87/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))))),
% 34.87/23.46 inference(monotonicity,[status(thm)],[25599])).
% 34.87/23.46 tff(25601,plain,
% 34.87/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 34.87/23.46 inference(transitivity,[status(thm)],[25600, 25598])).
% 34.87/23.46 tff(25602,plain,
% 34.87/23.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))),
% 34.87/23.46 inference(quant_inst,[status(thm)],[])).
% 34.87/23.46 tff(25603,plain,
% 34.87/23.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))),
% 34.87/23.46 inference(modus_ponens,[status(thm)],[25602, 25601])).
% 34.87/23.46 tff(25604,plain,
% 34.87/23.46 (v110(constB164) | (~v108(constB163))),
% 34.87/23.46 inference(unit_resolution,[status(thm)],[25603, 585, 25597])).
% 34.87/23.46 tff(25605,plain,
% 34.87/23.46 (v110(constB164)),
% 34.87/23.46 inference(unit_resolution,[status(thm)],[25604, 25594])).
% 34.87/23.46 tff(25606,plain,
% 34.87/23.46 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 34.87/23.46 inference(rewrite,[status(thm)],[])).
% 34.87/23.46 tff(25607,plain,
% 34.87/23.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 34.87/23.46 inference(quant_inst,[status(thm)],[])).
% 34.87/23.46 tff(25608,plain,
% 34.87/23.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164))),
% 34.87/23.46 inference(modus_ponens,[status(thm)],[25607, 25606])).
% 34.87/23.46 tff(25609,plain,
% 34.87/23.46 (~v104(constB164)),
% 34.87/23.46 inference(unit_resolution,[status(thm)],[25608, 603, 25597, 25472])).
% 34.87/23.46 tff(25610,plain,
% 34.87/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))),
% 34.87/23.46 inference(rewrite,[status(thm)],[])).
% 34.87/23.46 tff(25611,plain,
% 34.87/23.46 (((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164)) <=> ((~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))),
% 34.87/23.46 inference(rewrite,[status(thm)],[])).
% 34.87/23.46 tff(25612,plain,
% 34.87/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | v102(constB164)))),
% 34.87/23.46 inference(monotonicity,[status(thm)],[25611])).
% 34.87/23.46 tff(25613,plain,
% 34.87/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))),
% 34.87/23.46 inference(transitivity,[status(thm)],[25612, 25610])).
% 34.87/23.46 tff(25614,plain,
% 34.87/23.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 34.87/23.46 inference(quant_inst,[status(thm)],[])).
% 34.87/23.46 tff(25615,plain,
% 34.87/23.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | v102(constB164)),
% 34.87/23.46 inference(modus_ponens,[status(thm)],[25614, 25613])).
% 34.87/23.46 tff(25616,plain,
% 34.87/23.46 (v104(constB164) | v102(constB164)),
% 34.87/23.46 inference(unit_resolution,[status(thm)],[25615, 617, 25597])).
% 34.87/23.46 tff(25617,plain,
% 34.87/23.46 (v102(constB164)),
% 34.87/23.46 inference(unit_resolution,[status(thm)],[25616, 25609])).
% 34.87/23.46 tff(25618,plain,
% 34.87/23.46 (v1(constB164) <=> v1(constB164)),
% 34.87/23.46 inference(rewrite,[status(thm)],[])).
% 34.87/23.46 tff(25619,axiom,(v1(constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 34.87/23.46 tff(25620,plain,
% 34.87/23.46 (v1(constB164)),
% 34.87/23.46 inference(modus_ponens,[status(thm)],[25619, 25618])).
% 34.87/23.46 tff(25621,plain,
% 34.87/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))),
% 34.87/23.46 inference(rewrite,[status(thm)],[])).
% 34.87/23.46 tff(25622,plain,
% 34.87/23.46 (((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164))) <=> ((~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))),
% 34.87/23.46 inference(rewrite,[status(thm)],[])).
% 34.87/23.46 tff(25623,plain,
% 34.87/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164))))),
% 34.87/23.46 inference(monotonicity,[status(thm)],[25622])).
% 34.87/23.46 tff(25624,plain,
% 34.87/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))),
% 34.87/23.46 inference(transitivity,[status(thm)],[25623, 25621])).
% 34.87/23.46 tff(25625,plain,
% 34.87/23.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 34.87/23.46 inference(quant_inst,[status(thm)],[])).
% 34.87/23.46 tff(25626,plain,
% 34.87/23.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164))),
% 34.87/23.46 inference(modus_ponens,[status(thm)],[25625, 25624])).
% 34.87/23.46 tff(25627,plain,
% 34.87/23.46 (v101(constB164) | (~v102(constB164))),
% 34.87/23.46 inference(unit_resolution,[status(thm)],[25626, 638, 25597, 25620])).
% 34.87/23.46 tff(25628,plain,
% 34.87/23.46 (v101(constB164)),
% 34.87/23.46 inference(unit_resolution,[status(thm)],[25627, 25617])).
% 34.87/23.46 tff(25629,plain,
% 34.87/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 34.87/23.46 inference(rewrite,[status(thm)],[])).
% 34.87/23.46 tff(25630,plain,
% 34.87/23.46 (((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164)) <=> ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 34.87/23.46 inference(rewrite,[status(thm)],[])).
% 34.87/23.46 tff(25631,plain,
% 34.87/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))))),
% 34.87/23.46 inference(monotonicity,[status(thm)],[25630])).
% 34.87/23.46 tff(25632,plain,
% 34.87/23.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 34.87/23.46 inference(transitivity,[status(thm)],[25631, 25629])).
% 34.87/23.46 tff(25633,plain,
% 34.87/23.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))),
% 34.87/23.46 inference(quant_inst,[status(thm)],[])).
% 34.87/23.46 tff(25634,plain,
% 34.87/23.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 34.87/23.46 inference(modus_ponens,[status(thm)],[25633, 25632])).
% 34.87/23.46 tff(25635,plain,
% 34.87/23.46 (v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 34.87/23.46 inference(unit_resolution,[status(thm)],[25634, 656, 25597])).
% 34.87/23.46 tff(25636,plain,
% 34.87/23.46 (v100(constB164) | (~v110(constB164))),
% 34.87/23.46 inference(unit_resolution,[status(thm)],[25635, 25628])).
% 34.87/23.46 tff(25637,plain,
% 34.87/23.46 (v100(constB164)),
% 34.87/23.46 inference(unit_resolution,[status(thm)],[25636, 25605])).
% 34.87/23.46 tff(25638,plain,
% 34.87/23.46 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB163)) | v130(constB163, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB163)) | v130(constB163, bitIndex2))),
% 34.87/23.46 inference(rewrite,[status(thm)],[])).
% 34.87/23.46 tff(25639,plain,
% 34.87/23.46 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB163)) | v130(constB163, bitIndex2))),
% 34.87/23.46 inference(quant_inst,[status(thm)],[])).
% 34.87/23.46 tff(25640,plain,
% 34.87/23.46 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB163)) | v130(constB163, bitIndex2)),
% 34.87/23.46 inference(modus_ponens,[status(thm)],[25639, 25638])).
% 34.87/23.46 tff(25641,plain,
% 34.87/23.46 (v130(constB163, bitIndex2)),
% 34.87/23.46 inference(unit_resolution,[status(thm)],[25640, 1578, 25562])).
% 34.87/23.46 tff(25642,plain,
% 34.87/23.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25643,plain,
% 34.87/23.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 34.87/23.47 inference(quant_inst,[status(thm)],[])).
% 34.87/23.47 tff(25644,plain,
% 34.87/23.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25643, 25642])).
% 34.87/23.47 tff(25645,plain,
% 34.87/23.47 ((~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25644, 1592, 25582])).
% 34.87/23.47 tff(25646,plain,
% 34.87/23.47 (v127(constB163, bitIndex2)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25645, 25641])).
% 34.87/23.47 tff(25647,plain,
% 34.87/23.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25648,plain,
% 34.87/23.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 34.87/23.47 inference(quant_inst,[status(thm)],[])).
% 34.87/23.47 tff(25649,plain,
% 34.87/23.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25648, 25647])).
% 34.87/23.47 tff(25650,plain,
% 34.87/23.47 ((~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25649, 1607, 25597])).
% 34.87/23.47 tff(25651,plain,
% 34.87/23.47 (v129(constB164, bitIndex2)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25650, 25646])).
% 34.87/23.47 tff(25652,plain,
% 34.87/23.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25653,plain,
% 34.87/23.47 ((v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2))) <=> (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25654,plain,
% 34.87/23.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))))),
% 34.87/23.47 inference(monotonicity,[status(thm)],[25653])).
% 34.87/23.47 tff(25655,plain,
% 34.87/23.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 34.87/23.47 inference(transitivity,[status(thm)],[25654, 25652])).
% 34.87/23.47 tff(25656,plain,
% 34.87/23.47 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))),
% 34.87/23.47 inference(quant_inst,[status(thm)],[])).
% 34.87/23.47 tff(25657,plain,
% 34.87/23.47 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25656, 25655])).
% 34.87/23.47 tff(25658,plain,
% 34.87/23.47 (v90(constB164, bitIndex2) | (~v100(constB164))),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25657, 1622, 25651])).
% 34.87/23.47 tff(25659,plain,
% 34.87/23.47 (v90(constB164, bitIndex2)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25658, 25637])).
% 34.87/23.47 tff(25660,plain,
% 34.87/23.47 ((~v1(constB165)) <=> (~v1(constB165))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25661,axiom,(~v1(constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 34.87/23.47 tff(25662,plain,
% 34.87/23.47 (~v1(constB165)),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25661, 25660])).
% 34.87/23.47 tff(25663,plain,
% 34.87/23.47 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25664,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 34.87/23.47 tff(25665,plain,
% 34.87/23.47 (nextState(constB164, constB165)),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25664, 25663])).
% 34.87/23.47 tff(25666,plain,
% 34.87/23.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25667,plain,
% 34.87/23.47 (((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25668,plain,
% 34.87/23.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))))),
% 34.87/23.47 inference(monotonicity,[status(thm)],[25667])).
% 34.87/23.47 tff(25669,plain,
% 34.87/23.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 34.87/23.47 inference(transitivity,[status(thm)],[25668, 25666])).
% 34.87/23.47 tff(25670,plain,
% 34.87/23.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))),
% 34.87/23.47 inference(quant_inst,[status(thm)],[])).
% 34.87/23.47 tff(25671,plain,
% 34.87/23.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25670, 25669])).
% 34.87/23.47 tff(25672,plain,
% 34.87/23.47 (~v101(constB165)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25671, 381, 25665, 25662])).
% 34.87/23.47 tff(25673,plain,
% 34.87/23.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25674,plain,
% 34.87/23.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 34.87/23.47 inference(quant_inst,[status(thm)],[])).
% 34.87/23.47 tff(25675,plain,
% 34.87/23.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165))),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25674, 25673])).
% 34.87/23.47 tff(25676,plain,
% 34.87/23.47 (v101(constB165) | (~v100(constB165))),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25675, 398, 25665])).
% 34.87/23.47 tff(25677,plain,
% 34.87/23.47 (~v100(constB165)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25676, 25672])).
% 34.87/23.47 tff(25678,plain,
% 34.87/23.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25679,plain,
% 34.87/23.47 (((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)) <=> ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25680,plain,
% 34.87/23.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2)))),
% 34.87/23.47 inference(monotonicity,[status(thm)],[25679])).
% 34.87/23.47 tff(25681,plain,
% 34.87/23.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 34.87/23.47 inference(transitivity,[status(thm)],[25680, 25678])).
% 34.87/23.47 tff(25682,plain,
% 34.87/23.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))),
% 34.87/23.47 inference(quant_inst,[status(thm)],[])).
% 34.87/23.47 tff(25683,plain,
% 34.87/23.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2)),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25682, 25681])).
% 34.87/23.47 tff(25684,plain,
% 34.87/23.47 ((~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25683, 1658, 25665])).
% 34.87/23.47 tff(25685,plain,
% 34.87/23.47 ((~v90(constB164, bitIndex2)) | v90(constB165, bitIndex2)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25684, 25677])).
% 34.87/23.47 tff(25686,plain,
% 34.87/23.47 (v90(constB165, bitIndex2)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25685, 25659])).
% 34.87/23.47 tff(25687,plain,
% 34.87/23.47 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB163)) | (~v130(constB163, bitIndex1)))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25688,plain,
% 34.87/23.47 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex1)))),
% 34.87/23.47 inference(quant_inst,[status(thm)],[])).
% 34.87/23.47 tff(25689,plain,
% 34.87/23.47 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB163)) | (~v130(constB163, bitIndex1))),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25688, 25687])).
% 34.87/23.47 tff(25690,plain,
% 34.87/23.47 (~v130(constB163, bitIndex1)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25689, 1677, 25562])).
% 34.87/23.47 tff(25691,plain,
% 34.87/23.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25692,plain,
% 34.87/23.47 ((v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1))) <=> ((~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25693,plain,
% 34.87/23.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1)))),
% 34.87/23.47 inference(monotonicity,[status(thm)],[25692])).
% 34.87/23.47 tff(25694,plain,
% 34.87/23.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))),
% 34.87/23.47 inference(transitivity,[status(thm)],[25693, 25691])).
% 34.87/23.47 tff(25695,plain,
% 34.87/23.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1)))),
% 34.87/23.47 inference(quant_inst,[status(thm)],[])).
% 34.87/23.47 tff(25696,plain,
% 34.87/23.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1)),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25695, 25694])).
% 34.87/23.47 tff(25697,plain,
% 34.87/23.47 ((~v127(constB163, bitIndex1)) | v130(constB163, bitIndex1)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25696, 781, 25582])).
% 34.87/23.47 tff(25698,plain,
% 34.87/23.47 (~v127(constB163, bitIndex1)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25697, 25690])).
% 34.87/23.47 tff(25699,plain,
% 34.87/23.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1)))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25700,plain,
% 34.87/23.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1)))),
% 34.87/23.47 inference(quant_inst,[status(thm)],[])).
% 34.87/23.47 tff(25701,plain,
% 34.87/23.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1))),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25700, 25699])).
% 34.87/23.47 tff(25702,plain,
% 34.87/23.47 (v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1))),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25701, 799, 25597])).
% 34.87/23.47 tff(25703,plain,
% 34.87/23.47 (~v129(constB164, bitIndex1)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25702, 25698])).
% 34.87/23.47 tff(25704,plain,
% 34.87/23.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25705,plain,
% 34.87/23.47 (((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1)) <=> ((~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25706,plain,
% 34.87/23.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164))))),
% 34.87/23.47 inference(monotonicity,[status(thm)],[25705])).
% 34.87/23.47 tff(25707,plain,
% 34.87/23.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))),
% 34.87/23.47 inference(transitivity,[status(thm)],[25706, 25704])).
% 34.87/23.47 tff(25708,plain,
% 34.87/23.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1))),
% 34.87/23.47 inference(quant_inst,[status(thm)],[])).
% 34.87/23.47 tff(25709,plain,
% 34.87/23.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164))),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25708, 25707])).
% 34.87/23.47 tff(25710,plain,
% 34.87/23.47 ((~v90(constB164, bitIndex1)) | (~v100(constB164))),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25709, 814, 25703])).
% 34.87/23.47 tff(25711,plain,
% 34.87/23.47 (~v90(constB164, bitIndex1)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25710, 25637])).
% 34.87/23.47 tff(25712,plain,
% 34.87/23.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25713,plain,
% 34.87/23.47 (((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1))) <=> (v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25714,plain,
% 34.87/23.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1))))),
% 34.87/23.47 inference(monotonicity,[status(thm)],[25713])).
% 34.87/23.47 tff(25715,plain,
% 34.87/23.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 34.87/23.47 inference(transitivity,[status(thm)],[25714, 25712])).
% 34.87/23.47 tff(25716,plain,
% 34.87/23.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 34.87/23.47 inference(quant_inst,[status(thm)],[])).
% 34.87/23.47 tff(25717,plain,
% 34.87/23.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1))),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25716, 25715])).
% 34.87/23.47 tff(25718,plain,
% 34.87/23.47 (v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1))),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25717, 434, 25665])).
% 34.87/23.47 tff(25719,plain,
% 34.87/23.47 (v90(constB164, bitIndex1) | (~v90(constB165, bitIndex1))),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25718, 25677])).
% 34.87/23.47 tff(25720,plain,
% 34.87/23.47 (~v90(constB165, bitIndex1)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25719, 25711])).
% 34.87/23.47 tff(25721,plain,
% 34.87/23.47 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB163)) | (~v130(constB163, bitIndex0)))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25722,plain,
% 34.87/23.47 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex0)))),
% 34.87/23.47 inference(quant_inst,[status(thm)],[])).
% 34.87/23.47 tff(25723,plain,
% 34.87/23.47 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB163)) | (~v130(constB163, bitIndex0))),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25722, 25721])).
% 34.87/23.47 tff(25724,plain,
% 34.87/23.47 (~v130(constB163, bitIndex0)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25723, 1721, 25562])).
% 34.87/23.47 tff(25725,plain,
% 34.87/23.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25726,plain,
% 34.87/23.47 ((v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0))) <=> ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25727,plain,
% 34.87/23.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)))),
% 34.87/23.47 inference(monotonicity,[status(thm)],[25726])).
% 34.87/23.47 tff(25728,plain,
% 34.87/23.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 34.87/23.47 inference(transitivity,[status(thm)],[25727, 25725])).
% 34.87/23.47 tff(25729,plain,
% 34.87/23.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))),
% 34.87/23.47 inference(quant_inst,[status(thm)],[])).
% 34.87/23.47 tff(25730,plain,
% 34.87/23.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25729, 25728])).
% 34.87/23.47 tff(25731,plain,
% 34.87/23.47 ((~v127(constB163, bitIndex0)) | v130(constB163, bitIndex0)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25730, 1182, 25582])).
% 34.87/23.47 tff(25732,plain,
% 34.87/23.47 (~v127(constB163, bitIndex0)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25731, 25724])).
% 34.87/23.47 tff(25733,plain,
% 34.87/23.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25734,plain,
% 34.87/23.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 34.87/23.47 inference(quant_inst,[status(thm)],[])).
% 34.87/23.47 tff(25735,plain,
% 34.87/23.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25734, 25733])).
% 34.87/23.47 tff(25736,plain,
% 34.87/23.47 (v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25735, 1200, 25597])).
% 34.87/23.47 tff(25737,plain,
% 34.87/23.47 (~v129(constB164, bitIndex0)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25736, 25732])).
% 34.87/23.47 tff(25738,plain,
% 34.87/23.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25739,plain,
% 34.87/23.47 (((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0)) <=> ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 34.87/23.47 inference(rewrite,[status(thm)],[])).
% 34.87/23.47 tff(25740,plain,
% 34.87/23.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))))),
% 34.87/23.47 inference(monotonicity,[status(thm)],[25739])).
% 34.87/23.47 tff(25741,plain,
% 34.87/23.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 34.87/23.47 inference(transitivity,[status(thm)],[25740, 25738])).
% 34.87/23.47 tff(25742,plain,
% 34.87/23.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))),
% 34.87/23.47 inference(quant_inst,[status(thm)],[])).
% 34.87/23.47 tff(25743,plain,
% 34.87/23.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))),
% 34.87/23.47 inference(modus_ponens,[status(thm)],[25742, 25741])).
% 34.87/23.47 tff(25744,plain,
% 34.87/23.47 ((~v90(constB164, bitIndex0)) | (~v100(constB164))),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25743, 1215, 25737])).
% 34.87/23.47 tff(25745,plain,
% 34.87/23.47 (~v90(constB164, bitIndex0)),
% 34.87/23.47 inference(unit_resolution,[status(thm)],[25744, 25637])).
% 34.87/23.47 tff(25746,plain,
% 34.87/23.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25747,plain,
% 34.87/23.48 (((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))) <=> (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25748,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0))))),
% 34.87/23.48 inference(monotonicity,[status(thm)],[25747])).
% 34.87/23.48 tff(25749,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 34.87/23.48 inference(transitivity,[status(thm)],[25748, 25746])).
% 34.87/23.48 tff(25750,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25751,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25750, 25749])).
% 34.87/23.48 tff(25752,plain,
% 34.87/23.48 (v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25751, 455, 25665])).
% 34.87/23.48 tff(25753,plain,
% 34.87/23.48 (v90(constB164, bitIndex0) | (~v90(constB165, bitIndex0))),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25752, 25677])).
% 34.87/23.48 tff(25754,plain,
% 34.87/23.48 (~v90(constB165, bitIndex0)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25753, 25745])).
% 34.87/23.48 tff(25755,plain,
% 34.87/23.48 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25756,plain,
% 34.87/23.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25757,plain,
% 34.87/23.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165)),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25756, 25755])).
% 34.87/23.48 tff(25758,plain,
% 34.87/23.48 (v123(constB165)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25757, 1765, 25754, 25720, 25686])).
% 34.87/23.48 tff(25759,plain,
% 34.87/23.48 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB165) | (~v123(constB165)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB165) | (~v123(constB165)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25760,plain,
% 34.87/23.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB165) | (~v123(constB165)))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25761,plain,
% 34.87/23.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB165) | (~v123(constB165))),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25760, 25759])).
% 34.87/23.48 tff(25762,plain,
% 34.87/23.48 (v115(constB165)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25761, 1776, 25758])).
% 34.87/23.48 tff(25763,plain,
% 34.87/23.48 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB165) | (~v115(constB165)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB165) | (~v115(constB165)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25764,plain,
% 34.87/23.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB165) | (~v115(constB165)))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25765,plain,
% 34.87/23.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB165) | (~v115(constB165))),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25764, 25763])).
% 34.87/23.48 tff(25766,plain,
% 34.87/23.48 (v114(constB165)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25765, 531, 25762])).
% 34.87/23.48 tff(25767,plain,
% 34.87/23.48 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB165) | (~v114(constB165)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB165) | (~v114(constB165)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25768,plain,
% 34.87/23.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB165) | (~v114(constB165)))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25769,plain,
% 34.87/23.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB165) | (~v114(constB165))),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25768, 25767])).
% 34.87/23.48 tff(25770,plain,
% 34.87/23.48 (v113(constB165)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25769, 542, 25766])).
% 34.87/23.48 tff(25771,assumption,(v26(constB165)), introduced(assumption)).
% 34.87/23.48 tff(25772,plain,
% 34.87/23.48 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB165))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25773,plain,
% 34.87/23.48 ($false),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25772, 120, 25771])).
% 34.87/23.48 tff(25774,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 34.87/23.48 tff(25775,plain,
% 34.87/23.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | v112(constB165) | (~v113(constB165)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25776,plain,
% 34.87/23.48 ((v26(constB165) | (~v113(constB165)) | v112(constB165)) <=> (v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25777,plain,
% 34.87/23.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | v112(constB165) | (~v113(constB165))))),
% 34.87/23.48 inference(monotonicity,[status(thm)],[25776])).
% 34.87/23.48 tff(25778,plain,
% 34.87/23.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 34.87/23.48 inference(transitivity,[status(thm)],[25777, 25775])).
% 34.87/23.48 tff(25779,plain,
% 34.87/23.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25780,plain,
% 34.87/23.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165))),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25779, 25778])).
% 34.87/23.48 tff(25781,plain,
% 34.87/23.48 (v112(constB165) | (~v113(constB165))),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25780, 556, 25774])).
% 34.87/23.48 tff(25782,plain,
% 34.87/23.48 (v112(constB165)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25781, 25770])).
% 34.87/23.48 tff(25783,plain,
% 34.87/23.48 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB165) | (~v112(constB165)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB165) | (~v112(constB165)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25784,plain,
% 34.87/23.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB165) | (~v112(constB165)))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25785,plain,
% 34.87/23.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB165) | (~v112(constB165))),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25784, 25783])).
% 34.87/23.48 tff(25786,plain,
% 34.87/23.48 (v108(constB165)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25785, 568, 25782])).
% 34.87/23.48 tff(25787,plain,
% 34.87/23.48 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25788,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 34.87/23.48 tff(25789,plain,
% 34.87/23.48 (nextState(constB165, constB166)),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25788, 25787])).
% 34.87/23.48 tff(25790,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25791,plain,
% 34.87/23.48 (((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166)) <=> ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25792,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))))),
% 34.87/23.48 inference(monotonicity,[status(thm)],[25791])).
% 34.87/23.48 tff(25793,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 34.87/23.48 inference(transitivity,[status(thm)],[25792, 25790])).
% 34.87/23.48 tff(25794,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25795,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25794, 25793])).
% 34.87/23.48 tff(25796,plain,
% 34.87/23.48 (v110(constB166) | (~v108(constB165))),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25795, 585, 25789])).
% 34.87/23.48 tff(25797,plain,
% 34.87/23.48 (v110(constB166)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25796, 25786])).
% 34.87/23.48 tff(25798,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25799,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25800,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166))),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25799, 25798])).
% 34.87/23.48 tff(25801,plain,
% 34.87/23.48 (~v104(constB166)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25800, 603, 25789, 25662])).
% 34.87/23.48 tff(25802,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25803,plain,
% 34.87/23.48 (((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166)) <=> ((~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25804,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | v102(constB166)))),
% 34.87/23.48 inference(monotonicity,[status(thm)],[25803])).
% 34.87/23.48 tff(25805,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))),
% 34.87/23.48 inference(transitivity,[status(thm)],[25804, 25802])).
% 34.87/23.48 tff(25806,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25807,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | v102(constB166)),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25806, 25805])).
% 34.87/23.48 tff(25808,plain,
% 34.87/23.48 (v104(constB166) | v102(constB166)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25807, 617, 25789])).
% 34.87/23.48 tff(25809,plain,
% 34.87/23.48 (v102(constB166)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25808, 25801])).
% 34.87/23.48 tff(25810,plain,
% 34.87/23.48 (v1(constB166) <=> v1(constB166)),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25811,axiom,(v1(constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 34.87/23.48 tff(25812,plain,
% 34.87/23.48 (v1(constB166)),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25811, 25810])).
% 34.87/23.48 tff(25813,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25814,plain,
% 34.87/23.48 (((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166))) <=> ((~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25815,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166))))),
% 34.87/23.48 inference(monotonicity,[status(thm)],[25814])).
% 34.87/23.48 tff(25816,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))),
% 34.87/23.48 inference(transitivity,[status(thm)],[25815, 25813])).
% 34.87/23.48 tff(25817,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25818,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166))),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25817, 25816])).
% 34.87/23.48 tff(25819,plain,
% 34.87/23.48 (v101(constB166) | (~v102(constB166))),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25818, 638, 25789, 25812])).
% 34.87/23.48 tff(25820,plain,
% 34.87/23.48 (v101(constB166)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25819, 25809])).
% 34.87/23.48 tff(25821,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25822,plain,
% 34.87/23.48 (((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166)) <=> ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25823,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))))),
% 34.87/23.48 inference(monotonicity,[status(thm)],[25822])).
% 34.87/23.48 tff(25824,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 34.87/23.48 inference(transitivity,[status(thm)],[25823, 25821])).
% 34.87/23.48 tff(25825,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25826,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25825, 25824])).
% 34.87/23.48 tff(25827,plain,
% 34.87/23.48 (v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25826, 656, 25789])).
% 34.87/23.48 tff(25828,plain,
% 34.87/23.48 (v100(constB166) | (~v110(constB166))),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25827, 25820])).
% 34.87/23.48 tff(25829,plain,
% 34.87/23.48 (v100(constB166)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25828, 25797])).
% 34.87/23.48 tff(25830,plain,
% 34.87/23.48 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB165)) | v130(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB165)) | v130(constB165, bitIndex2))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25831,plain,
% 34.87/23.48 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB165)) | v130(constB165, bitIndex2))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25832,plain,
% 34.87/23.48 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB165)) | v130(constB165, bitIndex2)),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25831, 25830])).
% 34.87/23.48 tff(25833,plain,
% 34.87/23.48 (v130(constB165, bitIndex2)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25832, 1850, 25758])).
% 34.87/23.48 tff(25834,plain,
% 34.87/23.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25835,plain,
% 34.87/23.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25836,plain,
% 34.87/23.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2)),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25835, 25834])).
% 34.87/23.48 tff(25837,plain,
% 34.87/23.48 ((~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25836, 1592, 25774])).
% 34.87/23.48 tff(25838,plain,
% 34.87/23.48 (v127(constB165, bitIndex2)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25837, 25833])).
% 34.87/23.48 tff(25839,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25840,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25841,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2)),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25840, 25839])).
% 34.87/23.48 tff(25842,plain,
% 34.87/23.48 ((~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25841, 1607, 25789])).
% 34.87/23.48 tff(25843,plain,
% 34.87/23.48 (v129(constB166, bitIndex2)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25842, 25838])).
% 34.87/23.48 tff(25844,plain,
% 34.87/23.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25845,plain,
% 34.87/23.48 ((v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2))) <=> (v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25846,plain,
% 34.87/23.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166))))),
% 34.87/23.48 inference(monotonicity,[status(thm)],[25845])).
% 34.87/23.48 tff(25847,plain,
% 34.87/23.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))),
% 34.87/23.48 inference(transitivity,[status(thm)],[25846, 25844])).
% 34.87/23.48 tff(25848,plain,
% 34.87/23.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2)))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25849,plain,
% 34.87/23.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166))),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25848, 25847])).
% 34.87/23.48 tff(25850,plain,
% 34.87/23.48 (v90(constB166, bitIndex2) | (~v100(constB166))),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25849, 1622, 25843])).
% 34.87/23.48 tff(25851,plain,
% 34.87/23.48 (v90(constB166, bitIndex2)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25850, 25829])).
% 34.87/23.48 tff(25852,plain,
% 34.87/23.48 ((~v1(constB167)) <=> (~v1(constB167))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25853,axiom,(~v1(constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 34.87/23.48 tff(25854,plain,
% 34.87/23.48 (~v1(constB167)),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25853, 25852])).
% 34.87/23.48 tff(25855,plain,
% 34.87/23.48 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25856,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 34.87/23.48 tff(25857,plain,
% 34.87/23.48 (nextState(constB166, constB167)),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25856, 25855])).
% 34.87/23.48 tff(25858,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25859,plain,
% 34.87/23.48 (((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25860,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))))),
% 34.87/23.48 inference(monotonicity,[status(thm)],[25859])).
% 34.87/23.48 tff(25861,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 34.87/23.48 inference(transitivity,[status(thm)],[25860, 25858])).
% 34.87/23.48 tff(25862,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25863,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 34.87/23.48 tff(25864,plain,
% 34.87/23.48 (~v101(constB167)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25863, 381, 25857, 25854])).
% 34.87/23.48 tff(25865,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25866,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 34.87/23.48 inference(quant_inst,[status(thm)],[])).
% 34.87/23.48 tff(25867,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167))),
% 34.87/23.48 inference(modus_ponens,[status(thm)],[25866, 25865])).
% 34.87/23.48 tff(25868,plain,
% 34.87/23.48 (v101(constB167) | (~v100(constB167))),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25867, 398, 25857])).
% 34.87/23.48 tff(25869,plain,
% 34.87/23.48 (~v100(constB167)),
% 34.87/23.48 inference(unit_resolution,[status(thm)],[25868, 25864])).
% 34.87/23.48 tff(25870,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25871,plain,
% 34.87/23.48 (((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2)) <=> ((~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))),
% 34.87/23.48 inference(rewrite,[status(thm)],[])).
% 34.87/23.48 tff(25872,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2)))),
% 34.87/23.48 inference(monotonicity,[status(thm)],[25871])).
% 34.87/23.48 tff(25873,plain,
% 34.87/23.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))),
% 34.87/23.48 inference(transitivity,[status(thm)],[25872, 25870])).
% 34.87/23.48 tff(25874,plain,
% 34.87/23.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25875,plain,
% 34.87/23.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2)),
% 34.87/23.49 inference(modus_ponens,[status(thm)],[25874, 25873])).
% 34.87/23.49 tff(25876,plain,
% 34.87/23.49 ((~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25875, 1658, 25857])).
% 34.87/23.49 tff(25877,plain,
% 34.87/23.49 ((~v90(constB166, bitIndex2)) | v90(constB167, bitIndex2)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25876, 25869])).
% 34.87/23.49 tff(25878,plain,
% 34.87/23.49 (v90(constB167, bitIndex2)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25877, 25851])).
% 34.87/23.49 tff(25879,plain,
% 34.87/23.49 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB165)) | (~v130(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB165)) | (~v130(constB165, bitIndex1)))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25880,plain,
% 34.87/23.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB165)) | (~v130(constB165, bitIndex1)))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25881,plain,
% 34.87/23.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB165)) | (~v130(constB165, bitIndex1))),
% 34.87/23.49 inference(modus_ponens,[status(thm)],[25880, 25879])).
% 34.87/23.49 tff(25882,plain,
% 34.87/23.49 (~v130(constB165, bitIndex1)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25881, 1909, 25758])).
% 34.87/23.49 tff(25883,plain,
% 34.87/23.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25884,plain,
% 34.87/23.49 ((v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1))) <=> ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25885,plain,
% 34.87/23.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)))),
% 34.87/23.49 inference(monotonicity,[status(thm)],[25884])).
% 34.87/23.49 tff(25886,plain,
% 34.87/23.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 34.87/23.49 inference(transitivity,[status(thm)],[25885, 25883])).
% 34.87/23.49 tff(25887,plain,
% 34.87/23.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25888,plain,
% 34.87/23.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)),
% 34.87/23.49 inference(modus_ponens,[status(thm)],[25887, 25886])).
% 34.87/23.49 tff(25889,plain,
% 34.87/23.49 ((~v127(constB165, bitIndex1)) | v130(constB165, bitIndex1)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25888, 781, 25774])).
% 34.87/23.49 tff(25890,plain,
% 34.87/23.49 (~v127(constB165, bitIndex1)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25889, 25882])).
% 34.87/23.49 tff(25891,plain,
% 34.87/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25892,plain,
% 34.87/23.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25893,plain,
% 34.87/23.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 34.87/23.49 inference(modus_ponens,[status(thm)],[25892, 25891])).
% 34.87/23.49 tff(25894,plain,
% 34.87/23.49 (v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25893, 799, 25789])).
% 34.87/23.49 tff(25895,plain,
% 34.87/23.49 (~v129(constB166, bitIndex1)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25894, 25890])).
% 34.87/23.49 tff(25896,plain,
% 34.87/23.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25897,plain,
% 34.87/23.49 (((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1)) <=> ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25898,plain,
% 34.87/23.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))))),
% 34.87/23.49 inference(monotonicity,[status(thm)],[25897])).
% 34.87/23.49 tff(25899,plain,
% 34.87/23.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 34.87/23.49 inference(transitivity,[status(thm)],[25898, 25896])).
% 34.87/23.49 tff(25900,plain,
% 34.87/23.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25901,plain,
% 34.87/23.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))),
% 34.87/23.49 inference(modus_ponens,[status(thm)],[25900, 25899])).
% 34.87/23.49 tff(25902,plain,
% 34.87/23.49 ((~v90(constB166, bitIndex1)) | (~v100(constB166))),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25901, 814, 25895])).
% 34.87/23.49 tff(25903,plain,
% 34.87/23.49 (~v90(constB166, bitIndex1)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25902, 25829])).
% 34.87/23.49 tff(25904,plain,
% 34.87/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25905,plain,
% 34.87/23.49 (((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))) <=> (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25906,plain,
% 34.87/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1))))),
% 34.87/23.49 inference(monotonicity,[status(thm)],[25905])).
% 34.87/23.49 tff(25907,plain,
% 34.87/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 34.87/23.49 inference(transitivity,[status(thm)],[25906, 25904])).
% 34.87/23.49 tff(25908,plain,
% 34.87/23.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25909,plain,
% 34.87/23.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 34.87/23.49 inference(modus_ponens,[status(thm)],[25908, 25907])).
% 34.87/23.49 tff(25910,plain,
% 34.87/23.49 (v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25909, 434, 25857])).
% 34.87/23.49 tff(25911,plain,
% 34.87/23.49 (v90(constB166, bitIndex1) | (~v90(constB167, bitIndex1))),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25910, 25869])).
% 34.87/23.49 tff(25912,plain,
% 34.87/23.49 (~v90(constB167, bitIndex1)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25911, 25903])).
% 34.87/23.49 tff(25913,plain,
% 34.87/23.49 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB165)) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB165)) | v130(constB165, bitIndex0))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25914,plain,
% 34.87/23.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB165)) | v130(constB165, bitIndex0))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25915,plain,
% 34.87/23.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB165)) | v130(constB165, bitIndex0)),
% 34.87/23.49 inference(modus_ponens,[status(thm)],[25914, 25913])).
% 34.87/23.49 tff(25916,plain,
% 34.87/23.49 (v130(constB165, bitIndex0)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25915, 1953, 25758])).
% 34.87/23.49 tff(25917,plain,
% 34.87/23.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25918,plain,
% 34.87/23.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25919,plain,
% 34.87/23.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 34.87/23.49 inference(modus_ponens,[status(thm)],[25918, 25917])).
% 34.87/23.49 tff(25920,plain,
% 34.87/23.49 ((~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25919, 855, 25774])).
% 34.87/23.49 tff(25921,plain,
% 34.87/23.49 (v127(constB165, bitIndex0)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25920, 25916])).
% 34.87/23.49 tff(25922,plain,
% 34.87/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25923,plain,
% 34.87/23.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25924,plain,
% 34.87/23.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 34.87/23.49 inference(modus_ponens,[status(thm)],[25923, 25922])).
% 34.87/23.49 tff(25925,plain,
% 34.87/23.49 ((~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25924, 870, 25789])).
% 34.87/23.49 tff(25926,plain,
% 34.87/23.49 (v129(constB166, bitIndex0)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25925, 25921])).
% 34.87/23.49 tff(25927,plain,
% 34.87/23.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25928,plain,
% 34.87/23.49 ((v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0))) <=> (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25929,plain,
% 34.87/23.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))))),
% 34.87/23.49 inference(monotonicity,[status(thm)],[25928])).
% 34.87/23.49 tff(25930,plain,
% 34.87/23.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 34.87/23.49 inference(transitivity,[status(thm)],[25929, 25927])).
% 34.87/23.49 tff(25931,plain,
% 34.87/23.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25932,plain,
% 34.87/23.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))),
% 34.87/23.49 inference(modus_ponens,[status(thm)],[25931, 25930])).
% 34.87/23.49 tff(25933,plain,
% 34.87/23.49 (v90(constB166, bitIndex0) | (~v100(constB166))),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25932, 885, 25926])).
% 34.87/23.49 tff(25934,plain,
% 34.87/23.49 (v90(constB166, bitIndex0)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25933, 25829])).
% 34.87/23.49 tff(25935,plain,
% 34.87/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25936,plain,
% 34.87/23.49 (((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)) <=> ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25937,plain,
% 34.87/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0)))),
% 34.87/23.49 inference(monotonicity,[status(thm)],[25936])).
% 34.87/23.49 tff(25938,plain,
% 34.87/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 34.87/23.49 inference(transitivity,[status(thm)],[25937, 25935])).
% 34.87/23.49 tff(25939,plain,
% 34.87/23.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25940,plain,
% 34.87/23.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0)),
% 34.87/23.49 inference(modus_ponens,[status(thm)],[25939, 25938])).
% 34.87/23.49 tff(25941,plain,
% 34.87/23.49 ((~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25940, 903, 25857])).
% 34.87/23.49 tff(25942,plain,
% 34.87/23.49 ((~v90(constB166, bitIndex0)) | v90(constB167, bitIndex0)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25941, 25869])).
% 34.87/23.49 tff(25943,plain,
% 34.87/23.49 (v90(constB167, bitIndex0)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25942, 25934])).
% 34.87/23.49 tff(25944,plain,
% 34.87/23.49 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25945,plain,
% 34.87/23.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25946,plain,
% 34.87/23.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167)),
% 34.87/23.49 inference(modus_ponens,[status(thm)],[25945, 25944])).
% 34.87/23.49 tff(25947,plain,
% 34.87/23.49 (v124(constB167)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25946, 1994, 25943, 25912, 25878])).
% 34.87/23.49 tff(25948,plain,
% 34.87/23.49 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB167) | (~v124(constB167)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB167) | (~v124(constB167)))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25949,plain,
% 34.87/23.49 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB167) | (~v124(constB167)))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25950,plain,
% 34.87/23.49 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB167) | (~v124(constB167))),
% 34.87/23.49 inference(modus_ponens,[status(thm)],[25949, 25948])).
% 34.87/23.49 tff(25951,plain,
% 34.87/23.49 (v114(constB167)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25950, 2005, 25947])).
% 34.87/23.49 tff(25952,plain,
% 34.87/23.49 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB167) | (~v114(constB167)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB167) | (~v114(constB167)))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25953,plain,
% 34.87/23.49 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB167) | (~v114(constB167)))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25954,plain,
% 34.87/23.49 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB167) | (~v114(constB167))),
% 34.87/23.49 inference(modus_ponens,[status(thm)],[25953, 25952])).
% 34.87/23.49 tff(25955,plain,
% 34.87/23.49 (v113(constB167)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25954, 542, 25951])).
% 34.87/23.49 tff(25956,assumption,(v26(constB167)), introduced(assumption)).
% 34.87/23.49 tff(25957,plain,
% 34.87/23.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB167))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25958,plain,
% 34.87/23.49 ($false),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25957, 120, 25956])).
% 34.87/23.49 tff(25959,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 34.87/23.49 tff(25960,plain,
% 34.87/23.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25961,plain,
% 34.87/23.49 ((v26(constB167) | (~v113(constB167)) | v112(constB167)) <=> (v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 34.87/23.49 inference(rewrite,[status(thm)],[])).
% 34.87/23.49 tff(25962,plain,
% 34.87/23.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167))))),
% 34.87/23.49 inference(monotonicity,[status(thm)],[25961])).
% 34.87/23.49 tff(25963,plain,
% 34.87/23.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 34.87/23.49 inference(transitivity,[status(thm)],[25962, 25960])).
% 34.87/23.49 tff(25964,plain,
% 34.87/23.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))),
% 34.87/23.49 inference(quant_inst,[status(thm)],[])).
% 34.87/23.49 tff(25965,plain,
% 34.87/23.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167))),
% 34.87/23.49 inference(modus_ponens,[status(thm)],[25964, 25963])).
% 34.87/23.49 tff(25966,plain,
% 34.87/23.49 (v112(constB167) | (~v113(constB167))),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25965, 556, 25959])).
% 34.87/23.49 tff(25967,plain,
% 34.87/23.49 (v112(constB167)),
% 34.87/23.49 inference(unit_resolution,[status(thm)],[25966, 25955])).
% 34.87/23.49 tff(25968,plain,
% 34.90/23.49 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB167) | (~v112(constB167)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB167) | (~v112(constB167)))),
% 34.90/23.49 inference(rewrite,[status(thm)],[])).
% 34.90/23.49 tff(25969,plain,
% 34.90/23.49 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB167) | (~v112(constB167)))),
% 34.90/23.49 inference(quant_inst,[status(thm)],[])).
% 34.90/23.49 tff(25970,plain,
% 34.90/23.49 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB167) | (~v112(constB167))),
% 34.90/23.49 inference(modus_ponens,[status(thm)],[25969, 25968])).
% 34.90/23.49 tff(25971,plain,
% 34.90/23.49 (v108(constB167)),
% 34.90/23.49 inference(unit_resolution,[status(thm)],[25970, 568, 25967])).
% 34.90/23.49 tff(25972,plain,
% 34.90/23.49 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 34.90/23.49 inference(rewrite,[status(thm)],[])).
% 34.90/23.49 tff(25973,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 34.90/23.49 tff(25974,plain,
% 34.90/23.49 (nextState(constB167, constB168)),
% 34.90/23.49 inference(modus_ponens,[status(thm)],[25973, 25972])).
% 34.90/23.49 tff(25975,plain,
% 34.90/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 34.90/23.49 inference(rewrite,[status(thm)],[])).
% 34.90/23.49 tff(25976,plain,
% 34.90/23.49 (((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168)) <=> ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 34.90/23.49 inference(rewrite,[status(thm)],[])).
% 34.90/23.49 tff(25977,plain,
% 34.90/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))))),
% 34.90/23.49 inference(monotonicity,[status(thm)],[25976])).
% 34.90/23.49 tff(25978,plain,
% 34.90/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 34.90/23.49 inference(transitivity,[status(thm)],[25977, 25975])).
% 34.90/23.49 tff(25979,plain,
% 34.90/23.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))),
% 34.90/23.49 inference(quant_inst,[status(thm)],[])).
% 34.90/23.49 tff(25980,plain,
% 34.90/23.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))),
% 34.90/23.49 inference(modus_ponens,[status(thm)],[25979, 25978])).
% 34.90/23.49 tff(25981,plain,
% 34.90/23.49 (v110(constB168) | (~v108(constB167))),
% 34.90/23.49 inference(unit_resolution,[status(thm)],[25980, 585, 25974])).
% 34.90/23.49 tff(25982,plain,
% 34.90/23.49 (v110(constB168)),
% 34.90/23.49 inference(unit_resolution,[status(thm)],[25981, 25971])).
% 34.90/23.49 tff(25983,plain,
% 34.90/23.49 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 34.90/23.49 inference(rewrite,[status(thm)],[])).
% 34.90/23.49 tff(25984,plain,
% 34.90/23.49 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 34.90/23.49 inference(quant_inst,[status(thm)],[])).
% 34.90/23.49 tff(25985,plain,
% 34.90/23.49 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168))),
% 34.90/23.49 inference(modus_ponens,[status(thm)],[25984, 25983])).
% 34.90/23.49 tff(25986,plain,
% 34.90/23.49 (~v104(constB168)),
% 34.90/23.49 inference(unit_resolution,[status(thm)],[25985, 603, 25974, 25854])).
% 34.90/23.49 tff(25987,plain,
% 34.90/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))),
% 34.90/23.49 inference(rewrite,[status(thm)],[])).
% 34.90/23.49 tff(25988,plain,
% 34.90/23.49 (((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168)) <=> ((~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))),
% 34.90/23.49 inference(rewrite,[status(thm)],[])).
% 34.90/23.49 tff(25989,plain,
% 34.90/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | v102(constB168)))),
% 34.90/23.49 inference(monotonicity,[status(thm)],[25988])).
% 34.90/23.49 tff(25990,plain,
% 34.90/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))),
% 34.90/23.49 inference(transitivity,[status(thm)],[25989, 25987])).
% 34.90/23.49 tff(25991,plain,
% 34.90/23.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 34.90/23.49 inference(quant_inst,[status(thm)],[])).
% 34.90/23.49 tff(25992,plain,
% 34.90/23.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | v102(constB168)),
% 34.90/23.49 inference(modus_ponens,[status(thm)],[25991, 25990])).
% 34.90/23.49 tff(25993,plain,
% 34.90/23.49 (v104(constB168) | v102(constB168)),
% 34.90/23.49 inference(unit_resolution,[status(thm)],[25992, 617, 25974])).
% 34.90/23.49 tff(25994,plain,
% 34.90/23.49 (v102(constB168)),
% 34.90/23.49 inference(unit_resolution,[status(thm)],[25993, 25986])).
% 34.90/23.49 tff(25995,plain,
% 34.90/23.49 (v1(constB168) <=> v1(constB168)),
% 34.90/23.49 inference(rewrite,[status(thm)],[])).
% 34.90/23.49 tff(25996,axiom,(v1(constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 34.90/23.49 tff(25997,plain,
% 34.90/23.49 (v1(constB168)),
% 34.90/23.49 inference(modus_ponens,[status(thm)],[25996, 25995])).
% 34.90/23.49 tff(25998,plain,
% 34.90/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))),
% 34.90/23.49 inference(rewrite,[status(thm)],[])).
% 34.90/23.49 tff(25999,plain,
% 34.90/23.49 (((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168))) <=> ((~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))),
% 34.90/23.49 inference(rewrite,[status(thm)],[])).
% 34.90/23.49 tff(26000,plain,
% 34.90/23.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168))))),
% 34.90/23.49 inference(monotonicity,[status(thm)],[25999])).
% 34.90/23.50 tff(26001,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))),
% 34.90/23.50 inference(transitivity,[status(thm)],[26000, 25998])).
% 34.90/23.50 tff(26002,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26003,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168))),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26002, 26001])).
% 34.90/23.50 tff(26004,plain,
% 34.90/23.50 (v101(constB168) | (~v102(constB168))),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26003, 638, 25974, 25997])).
% 34.90/23.50 tff(26005,plain,
% 34.90/23.50 (v101(constB168)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26004, 25994])).
% 34.90/23.50 tff(26006,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26007,plain,
% 34.90/23.50 (((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168)) <=> ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26008,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))))),
% 34.90/23.50 inference(monotonicity,[status(thm)],[26007])).
% 34.90/23.50 tff(26009,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 34.90/23.50 inference(transitivity,[status(thm)],[26008, 26006])).
% 34.90/23.50 tff(26010,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26011,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26010, 26009])).
% 34.90/23.50 tff(26012,plain,
% 34.90/23.50 (v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26011, 656, 25974])).
% 34.90/23.50 tff(26013,plain,
% 34.90/23.50 (v100(constB168) | (~v110(constB168))),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26012, 26005])).
% 34.90/23.50 tff(26014,plain,
% 34.90/23.50 (v100(constB168)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26013, 25982])).
% 34.90/23.50 tff(26015,plain,
% 34.90/23.50 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB167)) | (~v130(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB167)) | (~v130(constB167, bitIndex0)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26016,plain,
% 34.90/23.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB167)) | (~v130(constB167, bitIndex0)))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26017,plain,
% 34.90/23.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB167)) | (~v130(constB167, bitIndex0))),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26016, 26015])).
% 34.90/23.50 tff(26018,plain,
% 34.90/23.50 (~v130(constB167, bitIndex0)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26017, 2277, 25947])).
% 34.90/23.50 tff(26019,plain,
% 34.90/23.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26020,plain,
% 34.90/23.50 ((v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0))) <=> ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26021,plain,
% 34.90/23.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)))),
% 34.90/23.50 inference(monotonicity,[status(thm)],[26020])).
% 34.90/23.50 tff(26022,plain,
% 34.90/23.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 34.90/23.50 inference(transitivity,[status(thm)],[26021, 26019])).
% 34.90/23.50 tff(26023,plain,
% 34.90/23.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26024,plain,
% 34.90/23.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26023, 26022])).
% 34.90/23.50 tff(26025,plain,
% 34.90/23.50 ((~v127(constB167, bitIndex0)) | v130(constB167, bitIndex0)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26024, 1182, 25959])).
% 34.90/23.50 tff(26026,plain,
% 34.90/23.50 (~v127(constB167, bitIndex0)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26025, 26018])).
% 34.90/23.50 tff(26027,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26028,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26029,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26028, 26027])).
% 34.90/23.50 tff(26030,plain,
% 34.90/23.50 (v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26029, 1200, 25974])).
% 34.90/23.50 tff(26031,plain,
% 34.90/23.50 (~v129(constB168, bitIndex0)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26030, 26026])).
% 34.90/23.50 tff(26032,plain,
% 34.90/23.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26033,plain,
% 34.90/23.50 (((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0)) <=> ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26034,plain,
% 34.90/23.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))))),
% 34.90/23.50 inference(monotonicity,[status(thm)],[26033])).
% 34.90/23.50 tff(26035,plain,
% 34.90/23.50 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 34.90/23.50 inference(transitivity,[status(thm)],[26034, 26032])).
% 34.90/23.50 tff(26036,plain,
% 34.90/23.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26037,plain,
% 34.90/23.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26036, 26035])).
% 34.90/23.50 tff(26038,plain,
% 34.90/23.50 ((~v90(constB168, bitIndex0)) | (~v100(constB168))),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26037, 1215, 26031])).
% 34.90/23.50 tff(26039,plain,
% 34.90/23.50 (~v90(constB168, bitIndex0)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26038, 26014])).
% 34.90/23.50 tff(26040,plain,
% 34.90/23.50 ((~v1(constB169)) <=> (~v1(constB169))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26041,axiom,(~v1(constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 34.90/23.50 tff(26042,plain,
% 34.90/23.50 (~v1(constB169)),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26041, 26040])).
% 34.90/23.50 tff(26043,plain,
% 34.90/23.50 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26044,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 34.90/23.50 tff(26045,plain,
% 34.90/23.50 (nextState(constB168, constB169)),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26044, 26043])).
% 34.90/23.50 tff(26046,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26047,plain,
% 34.90/23.50 (((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26048,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))))),
% 34.90/23.50 inference(monotonicity,[status(thm)],[26047])).
% 34.90/23.50 tff(26049,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 34.90/23.50 inference(transitivity,[status(thm)],[26048, 26046])).
% 34.90/23.50 tff(26050,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26051,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26050, 26049])).
% 34.90/23.50 tff(26052,plain,
% 34.90/23.50 (~v101(constB169)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26051, 381, 26045, 26042])).
% 34.90/23.50 tff(26053,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26054,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26055,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169))),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26054, 26053])).
% 34.90/23.50 tff(26056,plain,
% 34.90/23.50 (v101(constB169) | (~v100(constB169))),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26055, 398, 26045])).
% 34.90/23.50 tff(26057,plain,
% 34.90/23.50 (~v100(constB169)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26056, 26052])).
% 34.90/23.50 tff(26058,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26059,plain,
% 34.90/23.50 (((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))) <=> (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26060,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0))))),
% 34.90/23.50 inference(monotonicity,[status(thm)],[26059])).
% 34.90/23.50 tff(26061,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 34.90/23.50 inference(transitivity,[status(thm)],[26060, 26058])).
% 34.90/23.50 tff(26062,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26063,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26062, 26061])).
% 34.90/23.50 tff(26064,plain,
% 34.90/23.50 (v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26063, 455, 26045])).
% 34.90/23.50 tff(26065,plain,
% 34.90/23.50 (v90(constB168, bitIndex0) | (~v90(constB169, bitIndex0))),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26064, 26057])).
% 34.90/23.50 tff(26066,plain,
% 34.90/23.50 (~v90(constB169, bitIndex0)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26065, 26039])).
% 34.90/23.50 tff(26067,plain,
% 34.90/23.50 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB169, bitIndex0) | (~v88(constB169, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB169, bitIndex0) | (~v88(constB169, bitIndex0)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26068,plain,
% 34.90/23.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB169, bitIndex0) | (~v88(constB169, bitIndex0)))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26069,plain,
% 34.90/23.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB169, bitIndex0) | (~v88(constB169, bitIndex0))),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26068, 26067])).
% 34.90/23.50 tff(26070,plain,
% 34.90/23.50 (~v88(constB169, bitIndex0)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26069, 23593, 26066])).
% 34.90/23.50 tff(26071,plain,
% 34.90/23.50 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB167)) | v130(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB167)) | v130(constB167, bitIndex2))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26072,plain,
% 34.90/23.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB167)) | v130(constB167, bitIndex2))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26073,plain,
% 34.90/23.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB167)) | v130(constB167, bitIndex2)),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26072, 26071])).
% 34.90/23.50 tff(26074,plain,
% 34.90/23.50 (v130(constB167, bitIndex2)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26073, 2075, 25947])).
% 34.90/23.50 tff(26075,plain,
% 34.90/23.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26076,plain,
% 34.90/23.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26077,plain,
% 34.90/23.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2)),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26076, 26075])).
% 34.90/23.50 tff(26078,plain,
% 34.90/23.50 ((~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26077, 1592, 25959])).
% 34.90/23.50 tff(26079,plain,
% 34.90/23.50 (v127(constB167, bitIndex2)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26078, 26074])).
% 34.90/23.50 tff(26080,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26081,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26082,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2)),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26081, 26080])).
% 34.90/23.50 tff(26083,plain,
% 34.90/23.50 ((~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26082, 1607, 25974])).
% 34.90/23.50 tff(26084,plain,
% 34.90/23.50 (v129(constB168, bitIndex2)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26083, 26079])).
% 34.90/23.50 tff(26085,plain,
% 34.90/23.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26086,plain,
% 34.90/23.50 ((v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2))) <=> (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26087,plain,
% 34.90/23.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168))))),
% 34.90/23.50 inference(monotonicity,[status(thm)],[26086])).
% 34.90/23.50 tff(26088,plain,
% 34.90/23.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 34.90/23.50 inference(transitivity,[status(thm)],[26087, 26085])).
% 34.90/23.50 tff(26089,plain,
% 34.90/23.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26090,plain,
% 34.90/23.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168))),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26089, 26088])).
% 34.90/23.50 tff(26091,plain,
% 34.90/23.50 (v90(constB168, bitIndex2) | (~v100(constB168))),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26090, 1622, 26084])).
% 34.90/23.50 tff(26092,plain,
% 34.90/23.50 (v90(constB168, bitIndex2)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26091, 26014])).
% 34.90/23.50 tff(26093,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26094,plain,
% 34.90/23.50 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2)) <=> ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26095,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2)))),
% 34.90/23.50 inference(monotonicity,[status(thm)],[26094])).
% 34.90/23.50 tff(26096,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 34.90/23.50 inference(transitivity,[status(thm)],[26095, 26093])).
% 34.90/23.50 tff(26097,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26098,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2)),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26097, 26096])).
% 34.90/23.50 tff(26099,plain,
% 34.90/23.50 ((~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26098, 1658, 26045])).
% 34.90/23.50 tff(26100,plain,
% 34.90/23.50 ((~v90(constB168, bitIndex2)) | v90(constB169, bitIndex2)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26099, 26057])).
% 34.90/23.50 tff(26101,plain,
% 34.90/23.50 (v90(constB169, bitIndex2)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26100, 26092])).
% 34.90/23.50 tff(26102,plain,
% 34.90/23.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26103,plain,
% 34.90/23.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26104,plain,
% 34.90/23.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2)),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26103, 26102])).
% 34.90/23.50 tff(26105,plain,
% 34.90/23.50 (v88(constB169, bitIndex2)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26104, 23573, 26101])).
% 34.90/23.50 tff(26106,plain,
% 34.90/23.50 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB167)) | v130(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB167)) | v130(constB167, bitIndex1))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26107,plain,
% 34.90/23.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB167)) | v130(constB167, bitIndex1))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26108,plain,
% 34.90/23.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB167)) | v130(constB167, bitIndex1)),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26107, 26106])).
% 34.90/23.50 tff(26109,plain,
% 34.90/23.50 (v130(constB167, bitIndex1)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26108, 2145, 25947])).
% 34.90/23.50 tff(26110,plain,
% 34.90/23.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26111,plain,
% 34.90/23.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26112,plain,
% 34.90/23.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26111, 26110])).
% 34.90/23.50 tff(26113,plain,
% 34.90/23.50 ((~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26112, 1101, 25959])).
% 34.90/23.50 tff(26114,plain,
% 34.90/23.50 (v127(constB167, bitIndex1)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26113, 26109])).
% 34.90/23.50 tff(26115,plain,
% 34.90/23.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26116,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 34.90/23.50 inference(quant_inst,[status(thm)],[])).
% 34.90/23.50 tff(26117,plain,
% 34.90/23.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 34.90/23.50 inference(modus_ponens,[status(thm)],[26116, 26115])).
% 34.90/23.50 tff(26118,plain,
% 34.90/23.50 ((~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26117, 1116, 25974])).
% 34.90/23.50 tff(26119,plain,
% 34.90/23.50 (v129(constB168, bitIndex1)),
% 34.90/23.50 inference(unit_resolution,[status(thm)],[26118, 26114])).
% 34.90/23.50 tff(26120,plain,
% 34.90/23.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26121,plain,
% 34.90/23.50 ((v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1))) <=> (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 34.90/23.50 inference(rewrite,[status(thm)],[])).
% 34.90/23.50 tff(26122,plain,
% 34.90/23.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))))),
% 34.90/23.51 inference(monotonicity,[status(thm)],[26121])).
% 34.90/23.51 tff(26123,plain,
% 34.90/23.51 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 34.90/23.51 inference(transitivity,[status(thm)],[26122, 26120])).
% 34.90/23.51 tff(26124,plain,
% 34.90/23.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26125,plain,
% 34.90/23.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26124, 26123])).
% 34.90/23.51 tff(26126,plain,
% 34.90/23.51 (v90(constB168, bitIndex1) | (~v100(constB168))),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26125, 1131, 26119])).
% 34.90/23.51 tff(26127,plain,
% 34.90/23.51 (v90(constB168, bitIndex1)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26126, 26014])).
% 34.90/23.51 tff(26128,plain,
% 34.90/23.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26129,plain,
% 34.90/23.51 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)) <=> ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26130,plain,
% 34.90/23.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1)))),
% 34.90/23.51 inference(monotonicity,[status(thm)],[26129])).
% 34.90/23.51 tff(26131,plain,
% 34.90/23.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 34.90/23.51 inference(transitivity,[status(thm)],[26130, 26128])).
% 34.90/23.51 tff(26132,plain,
% 34.90/23.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26133,plain,
% 34.90/23.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1)),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26132, 26131])).
% 34.90/23.51 tff(26134,plain,
% 34.90/23.51 ((~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26133, 1149, 26045])).
% 34.90/23.51 tff(26135,plain,
% 34.90/23.51 ((~v90(constB168, bitIndex1)) | v90(constB169, bitIndex1)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26134, 26057])).
% 34.90/23.51 tff(26136,plain,
% 34.90/23.51 (v90(constB169, bitIndex1)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26135, 26127])).
% 34.90/23.51 tff(26137,plain,
% 34.90/23.51 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26138,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26139,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1)),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26138, 26137])).
% 34.90/23.51 tff(26140,plain,
% 34.90/23.51 (v88(constB169, bitIndex1)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26139, 23528, 26136])).
% 34.90/23.51 tff(26141,plain,
% 34.90/23.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v144(constB169))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v144(constB169))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26142,plain,
% 34.90/23.51 (((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169)) <=> (v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v144(constB169))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26143,plain,
% 34.90/23.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v144(constB169)))),
% 34.90/23.51 inference(monotonicity,[status(thm)],[26142])).
% 34.90/23.51 tff(26144,plain,
% 34.90/23.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v144(constB169))),
% 34.90/23.51 inference(transitivity,[status(thm)],[26143, 26141])).
% 34.90/23.51 tff(26145,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26146,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v144(constB169)),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26145, 26144])).
% 34.90/23.51 tff(26147,plain,
% 34.90/23.51 (v144(constB169)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26146, 23607, 26140, 26105, 26070])).
% 34.90/23.51 tff(26148,plain,
% 34.90/23.51 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB169) | (~v144(constB169)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB169) | (~v144(constB169)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26149,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB169) | (~v144(constB169)))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26150,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB169) | (~v144(constB169))),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26149, 26148])).
% 34.90/23.51 tff(26151,plain,
% 34.90/23.51 (v142(constB169)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26150, 23622, 26147])).
% 34.90/23.51 tff(26152,plain,
% 34.90/23.51 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB169) | (~v142(constB169)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB169) | (~v142(constB169)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26153,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB169) | (~v142(constB169)))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26154,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB169) | (~v142(constB169))),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26153, 26152])).
% 34.90/23.51 tff(26155,plain,
% 34.90/23.51 (v148(constB169)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26154, 24122, 26151])).
% 34.90/23.51 tff(26156,plain,
% 34.90/23.51 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB169) | (~v142(constB169)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB169) | (~v142(constB169)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26157,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB169) | (~v142(constB169)))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26158,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB169) | (~v142(constB169))),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26157, 26156])).
% 34.90/23.51 tff(26159,plain,
% 34.90/23.51 (v167(constB169)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26158, 23633, 26151])).
% 34.90/23.51 tff(26160,plain,
% 34.90/23.51 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB169) | (~v167(constB169)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB169) | (~v167(constB169)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26161,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB169) | (~v167(constB169)))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26162,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB169) | (~v167(constB169))),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26161, 26160])).
% 34.90/23.51 tff(26163,plain,
% 34.90/23.51 (v166(constB169)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26162, 23658, 26159])).
% 34.90/23.51 tff(26164,plain,
% 34.90/23.51 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB169) | (~v166(constB169)) | (~v148(constB169)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB169) | (~v166(constB169)) | (~v148(constB169)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26165,plain,
% 34.90/23.51 (((~v148(constB169)) | (~v166(constB169)) | v86(constB169)) <=> (v86(constB169) | (~v166(constB169)) | (~v148(constB169)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26166,plain,
% 34.90/23.51 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB169)) | (~v166(constB169)) | v86(constB169))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB169) | (~v166(constB169)) | (~v148(constB169))))),
% 34.90/23.51 inference(monotonicity,[status(thm)],[26165])).
% 34.90/23.51 tff(26167,plain,
% 34.90/23.51 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB169)) | (~v166(constB169)) | v86(constB169))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB169) | (~v166(constB169)) | (~v148(constB169)))),
% 34.90/23.51 inference(transitivity,[status(thm)],[26166, 26164])).
% 34.90/23.51 tff(26168,plain,
% 34.90/23.51 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB169)) | (~v166(constB169)) | v86(constB169))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26169,plain,
% 34.90/23.51 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB169) | (~v166(constB169)) | (~v148(constB169))),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26168, 26167])).
% 34.90/23.51 tff(26170,plain,
% 34.90/23.51 (v86(constB169)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26169, 24144, 26163, 26155])).
% 34.90/23.51 tff(26171,plain,
% 34.90/23.51 ($false),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26170, 24634])).
% 34.90/23.51 tff(26172,plain,(~(constB169 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 34.90/23.51 tff(26173,assumption,(constB145 = sK0_VarCurr), introduced(assumption)).
% 34.90/23.51 tff(26174,plain,
% 34.90/23.51 (v86(constB145) <=> v86(sK0_VarCurr)),
% 34.90/23.51 inference(monotonicity,[status(thm)],[26173])).
% 34.90/23.51 tff(26175,plain,
% 34.90/23.51 (v86(sK0_VarCurr) <=> v86(constB145)),
% 34.90/23.51 inference(symmetry,[status(thm)],[26174])).
% 34.90/23.51 tff(26176,plain,
% 34.90/23.51 ((~v86(sK0_VarCurr)) <=> (~v86(constB145))),
% 34.90/23.51 inference(monotonicity,[status(thm)],[26175])).
% 34.90/23.51 tff(26177,plain,
% 34.90/23.51 (~v86(constB145)),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[24067, 26176])).
% 34.90/23.51 tff(26178,plain,
% 34.90/23.51 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26179,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0)))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26180,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0))),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26179, 26178])).
% 34.90/23.51 tff(26181,plain,
% 34.90/23.51 (~v88(constB145, bitIndex0)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26180, 23593, 21316])).
% 34.90/23.51 tff(26182,plain,
% 34.90/23.51 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26183,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26184,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2)),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26183, 26182])).
% 34.90/23.51 tff(26185,plain,
% 34.90/23.51 (v88(constB145, bitIndex2)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26184, 23573, 21235])).
% 34.90/23.51 tff(26186,plain,
% 34.90/23.51 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26187,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26188,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1)),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26187, 26186])).
% 34.90/23.51 tff(26189,plain,
% 34.90/23.51 (v88(constB145, bitIndex1)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26188, 23528, 21216])).
% 34.90/23.51 tff(26190,plain,
% 34.90/23.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26191,plain,
% 34.90/23.51 (((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145)) <=> (v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26192,plain,
% 34.90/23.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145)))),
% 34.90/23.51 inference(monotonicity,[status(thm)],[26191])).
% 34.90/23.51 tff(26193,plain,
% 34.90/23.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145))),
% 34.90/23.51 inference(transitivity,[status(thm)],[26192, 26190])).
% 34.90/23.51 tff(26194,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26195,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145)),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26194, 26193])).
% 34.90/23.51 tff(26196,plain,
% 34.90/23.51 (v144(constB145)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26195, 23607, 26189, 26185, 26181])).
% 34.90/23.51 tff(26197,plain,
% 34.90/23.51 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB145) | (~v144(constB145)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB145) | (~v144(constB145)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26198,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB145) | (~v144(constB145)))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26199,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB145) | (~v144(constB145))),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26198, 26197])).
% 34.90/23.51 tff(26200,plain,
% 34.90/23.51 (v142(constB145)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26199, 23622, 26196])).
% 34.90/23.51 tff(26201,plain,
% 34.90/23.51 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB145) | (~v142(constB145)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB145) | (~v142(constB145)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26202,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB145) | (~v142(constB145)))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26203,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB145) | (~v142(constB145))),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26202, 26201])).
% 34.90/23.51 tff(26204,plain,
% 34.90/23.51 (v148(constB145)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26203, 24122, 26200])).
% 34.90/23.51 tff(26205,plain,
% 34.90/23.51 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB145) | (~v142(constB145)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB145) | (~v142(constB145)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26206,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB145) | (~v142(constB145)))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26207,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB145) | (~v142(constB145))),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26206, 26205])).
% 34.90/23.51 tff(26208,plain,
% 34.90/23.51 (v167(constB145)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26207, 23633, 26200])).
% 34.90/23.51 tff(26209,plain,
% 34.90/23.51 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB145) | (~v167(constB145)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB145) | (~v167(constB145)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26210,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB145) | (~v167(constB145)))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26211,plain,
% 34.90/23.51 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB145) | (~v167(constB145))),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26210, 26209])).
% 34.90/23.51 tff(26212,plain,
% 34.90/23.51 (v166(constB145)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26211, 23658, 26208])).
% 34.90/23.51 tff(26213,plain,
% 34.90/23.51 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB145) | (~v166(constB145)) | (~v148(constB145)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB145) | (~v166(constB145)) | (~v148(constB145)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26214,plain,
% 34.90/23.51 (((~v148(constB145)) | (~v166(constB145)) | v86(constB145)) <=> (v86(constB145) | (~v166(constB145)) | (~v148(constB145)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26215,plain,
% 34.90/23.51 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB145)) | (~v166(constB145)) | v86(constB145))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB145) | (~v166(constB145)) | (~v148(constB145))))),
% 34.90/23.51 inference(monotonicity,[status(thm)],[26214])).
% 34.90/23.51 tff(26216,plain,
% 34.90/23.51 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB145)) | (~v166(constB145)) | v86(constB145))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB145) | (~v166(constB145)) | (~v148(constB145)))),
% 34.90/23.51 inference(transitivity,[status(thm)],[26215, 26213])).
% 34.90/23.51 tff(26217,plain,
% 34.90/23.51 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB145)) | (~v166(constB145)) | v86(constB145))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26218,plain,
% 34.90/23.51 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB145) | (~v166(constB145)) | (~v148(constB145))),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26217, 26216])).
% 34.90/23.51 tff(26219,plain,
% 34.90/23.51 (v86(constB145)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26218, 24144, 26212, 26204])).
% 34.90/23.51 tff(26220,plain,
% 34.90/23.51 ($false),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26219, 26177])).
% 34.90/23.51 tff(26221,plain,(~(constB145 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 34.90/23.51 tff(26222,assumption,(constB193 = sK0_VarCurr), introduced(assumption)).
% 34.90/23.51 tff(26223,plain,
% 34.90/23.51 (v86(constB193) <=> v86(sK0_VarCurr)),
% 34.90/23.51 inference(monotonicity,[status(thm)],[26222])).
% 34.90/23.51 tff(26224,plain,
% 34.90/23.51 (v86(sK0_VarCurr) <=> v86(constB193)),
% 34.90/23.51 inference(symmetry,[status(thm)],[26223])).
% 34.90/23.51 tff(26225,plain,
% 34.90/23.51 ((~v86(sK0_VarCurr)) <=> (~v86(constB193))),
% 34.90/23.51 inference(monotonicity,[status(thm)],[26224])).
% 34.90/23.51 tff(26226,plain,
% 34.90/23.51 (~v86(constB193)),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[24067, 26225])).
% 34.90/23.51 tff(26227,plain,
% 34.90/23.51 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB169, bitIndex2)) | (~v121(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB169, bitIndex2)) | (~v121(constB169)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26228,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB169, bitIndex2)) | (~v121(constB169)))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26229,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB169, bitIndex2)) | (~v121(constB169))),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26228, 26227])).
% 34.90/23.51 tff(26230,plain,
% 34.90/23.51 (~v121(constB169)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26229, 2216, 26101])).
% 34.90/23.51 tff(26231,plain,
% 34.90/23.51 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB169)) | (~v90(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB169)) | (~v90(constB169, bitIndex1)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26232,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB169)) | (~v90(constB169, bitIndex1)))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26233,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB169)) | (~v90(constB169, bitIndex1))),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26232, 26231])).
% 34.90/23.51 tff(26234,plain,
% 34.90/23.51 (~v119(constB169)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26233, 2230, 26136])).
% 34.90/23.51 tff(26235,plain,
% 34.90/23.51 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v124(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v124(constB169)))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26236,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v124(constB169)))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26237,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v124(constB169))),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26236, 26235])).
% 34.90/23.51 tff(26238,plain,
% 34.90/23.51 (~v124(constB169)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26237, 2205, 26136])).
% 34.90/23.51 tff(26239,assumption,(~v130(constB169, bitIndex0)), introduced(assumption)).
% 34.90/23.51 tff(26240,plain,
% 34.90/23.51 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB169)) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB169)) | v130(constB169, bitIndex0))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26241,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB169)) | v130(constB169, bitIndex0))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26242,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB169)) | v130(constB169, bitIndex0)),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26241, 26240])).
% 34.90/23.51 tff(26243,plain,
% 34.90/23.51 (~v119(constB169)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26242, 841, 26239])).
% 34.90/23.51 tff(26244,plain,
% 34.90/23.51 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB169)) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB169)) | v130(constB169, bitIndex0))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26245,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB169)) | v130(constB169, bitIndex0))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26246,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB169)) | v130(constB169, bitIndex0)),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26245, 26244])).
% 34.90/23.51 tff(26247,plain,
% 34.90/23.51 (~v121(constB169)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26246, 1445, 26239])).
% 34.90/23.51 tff(26248,plain,
% 34.90/23.51 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB169)) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB169)) | v130(constB169, bitIndex0))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26249,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB169)) | v130(constB169, bitIndex0))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26250,plain,
% 34.90/23.51 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB169)) | v130(constB169, bitIndex0)),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26249, 26248])).
% 34.90/23.51 tff(26251,plain,
% 34.90/23.51 (~v123(constB169)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26250, 1953, 26239])).
% 34.90/23.51 tff(26252,assumption,(~v90(constB169, bitIndex0)), introduced(assumption)).
% 34.90/23.51 tff(26253,assumption,(~v90(constB169, bitIndex1)), introduced(assumption)).
% 34.90/23.51 tff(26254,plain,
% 34.90/23.51 (~v90(constB168, bitIndex1)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26135, 26253])).
% 34.90/23.51 tff(26255,plain,
% 34.90/23.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex0))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26256,plain,
% 34.90/23.51 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex0)) | v100(constB169) | v90(constB169, bitIndex0)) <=> ((~v90(constB168, bitIndex0)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex0))),
% 34.90/23.51 inference(rewrite,[status(thm)],[])).
% 34.90/23.51 tff(26257,plain,
% 34.90/23.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex0)) | v100(constB169) | v90(constB169, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex0)))),
% 34.90/23.51 inference(monotonicity,[status(thm)],[26256])).
% 34.90/23.51 tff(26258,plain,
% 34.90/23.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex0)) | v100(constB169) | v90(constB169, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex0))),
% 34.90/23.51 inference(transitivity,[status(thm)],[26257, 26255])).
% 34.90/23.51 tff(26259,plain,
% 34.90/23.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex0)) | v100(constB169) | v90(constB169, bitIndex0))),
% 34.90/23.51 inference(quant_inst,[status(thm)],[])).
% 34.90/23.51 tff(26260,plain,
% 34.90/23.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex0)),
% 34.90/23.51 inference(modus_ponens,[status(thm)],[26259, 26258])).
% 34.90/23.51 tff(26261,plain,
% 34.90/23.51 ((~v90(constB168, bitIndex0)) | v100(constB169) | v90(constB169, bitIndex0)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26260, 903, 26045])).
% 34.90/23.51 tff(26262,plain,
% 34.90/23.51 ((~v90(constB168, bitIndex0)) | v90(constB169, bitIndex0)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26261, 26057])).
% 34.90/23.51 tff(26263,plain,
% 34.90/23.51 (~v90(constB168, bitIndex0)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[26262, 26252])).
% 34.90/23.51 tff(26264,assumption,(~v110(constB168)), introduced(assumption)).
% 34.90/23.51 tff(26265,plain,
% 34.90/23.51 (~v108(constB167)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[25981, 26264])).
% 34.90/23.51 tff(26266,plain,
% 34.90/23.51 (~v112(constB167)),
% 34.90/23.51 inference(unit_resolution,[status(thm)],[25970, 568, 26265])).
% 34.90/23.51 tff(26267,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB167) | (~v26(constB167)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB167) | (~v26(constB167)))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26268,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB167) | (~v26(constB167)))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26269,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB167) | (~v26(constB167))),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26268, 26267])).
% 34.90/23.52 tff(26270,plain,
% 34.90/23.52 (~v26(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26269, 2348, 26265])).
% 34.90/23.52 tff(26271,plain,
% 34.90/23.52 (~v113(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[25965, 556, 26270, 26266])).
% 34.90/23.52 tff(26272,plain,
% 34.90/23.52 (~v114(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[25954, 542, 26271])).
% 34.90/23.52 tff(26273,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB167) | (~v115(constB167)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB167) | (~v115(constB167)))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26274,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB167) | (~v115(constB167)))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26275,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB167) | (~v115(constB167))),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26274, 26273])).
% 34.90/23.52 tff(26276,plain,
% 34.90/23.52 (~v115(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26275, 531, 26272])).
% 34.90/23.52 tff(26277,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB167) | (~v116(constB167)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB167) | (~v116(constB167)))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26278,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB167) | (~v116(constB167)))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26279,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB167) | (~v116(constB167))),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26278, 26277])).
% 34.90/23.52 tff(26280,plain,
% 34.90/23.52 (~v116(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26279, 520, 26276])).
% 34.90/23.52 tff(26281,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB167) | (~v117(constB167)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB167) | (~v117(constB167)))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26282,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB167) | (~v117(constB167)))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26283,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB167) | (~v117(constB167))),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26282, 26281])).
% 34.90/23.52 tff(26284,plain,
% 34.90/23.52 (~v117(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26283, 509, 26280])).
% 34.90/23.52 tff(26285,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB167) | (~v121(constB167)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB167) | (~v121(constB167)))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26286,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB167) | (~v121(constB167)))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26287,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB167) | (~v121(constB167))),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26286, 26285])).
% 34.90/23.52 tff(26288,plain,
% 34.90/23.52 (~v121(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26287, 1253, 26284])).
% 34.90/23.52 tff(26289,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB167) | (~v123(constB167)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB167) | (~v123(constB167)))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26290,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB167) | (~v123(constB167)))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26291,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB167) | (~v123(constB167))),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26290, 26289])).
% 34.90/23.52 tff(26292,plain,
% 34.90/23.52 (~v123(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26291, 1776, 26276])).
% 34.90/23.52 tff(26293,assumption,(~v90(constB168, bitIndex0)), introduced(assumption)).
% 34.90/23.52 tff(26294,plain,
% 34.90/23.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v100(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v100(constB168)))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26295,plain,
% 34.90/23.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v100(constB168)))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26296,plain,
% 34.90/23.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v100(constB168))),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26295, 26294])).
% 34.90/23.52 tff(26297,plain,
% 34.90/23.52 (v110(constB168) | (~v100(constB168))),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26296, 21392, 25974])).
% 34.90/23.52 tff(26298,plain,
% 34.90/23.52 (~v100(constB168)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26297, 26264])).
% 34.90/23.52 tff(26299,plain,
% 34.90/23.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, bitIndex0))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26300,plain,
% 34.90/23.52 (((~nextState(constB167, constB168)) | (~v90(constB167, bitIndex0)) | v100(constB168) | v90(constB168, bitIndex0)) <=> ((~v90(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, bitIndex0))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26301,plain,
% 34.90/23.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB167, constB168)) | (~v90(constB167, bitIndex0)) | v100(constB168) | v90(constB168, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, bitIndex0)))),
% 34.90/23.52 inference(monotonicity,[status(thm)],[26300])).
% 34.90/23.52 tff(26302,plain,
% 34.90/23.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB167, constB168)) | (~v90(constB167, bitIndex0)) | v100(constB168) | v90(constB168, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, bitIndex0))),
% 34.90/23.52 inference(transitivity,[status(thm)],[26301, 26299])).
% 34.90/23.52 tff(26303,plain,
% 34.90/23.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB167, constB168)) | (~v90(constB167, bitIndex0)) | v100(constB168) | v90(constB168, bitIndex0))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26304,plain,
% 34.90/23.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, bitIndex0)),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26303, 26302])).
% 34.90/23.52 tff(26305,plain,
% 34.90/23.52 ((~v90(constB167, bitIndex0)) | v100(constB168) | v90(constB168, bitIndex0)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26304, 903, 25974])).
% 34.90/23.52 tff(26306,plain,
% 34.90/23.52 (~v90(constB167, bitIndex0)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26305, 26298, 26293])).
% 34.90/23.52 tff(26307,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB167) | (~v118(constB167)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB167) | (~v118(constB167)))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26308,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB167) | (~v118(constB167)))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26309,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB167) | (~v118(constB167))),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26308, 26307])).
% 34.90/23.52 tff(26310,plain,
% 34.90/23.52 (~v118(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26309, 498, 26284])).
% 34.90/23.52 tff(26311,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB167) | (~v119(constB167)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB167) | (~v119(constB167)))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26312,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB167) | (~v119(constB167)))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26313,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB167) | (~v119(constB167))),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26312, 26311])).
% 34.90/23.52 tff(26314,plain,
% 34.90/23.52 (~v119(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26313, 487, 26310])).
% 34.90/23.52 tff(26315,assumption,(~v119(constB167)), introduced(assumption)).
% 34.90/23.52 tff(26316,assumption,(~v90(constB167, bitIndex1)), introduced(assumption)).
% 34.90/23.52 tff(26317,assumption,(~v123(constB167)), introduced(assumption)).
% 34.90/23.52 tff(26318,assumption,(~v90(constB167, bitIndex0)), introduced(assumption)).
% 34.90/23.52 tff(26319,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v123(constB167))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v123(constB167))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26320,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v123(constB167))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26321,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v123(constB167)),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26320, 26319])).
% 34.90/23.52 tff(26322,plain,
% 34.90/23.52 (v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v123(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26321, 1765, 26318])).
% 34.90/23.52 tff(26323,plain,
% 34.90/23.52 (~v90(constB167, bitIndex2)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26322, 26316, 26317])).
% 34.90/23.52 tff(26324,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB167) | v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB167) | v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26325,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB167) | v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26326,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB167) | v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2)),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26325, 26324])).
% 34.90/23.52 tff(26327,plain,
% 34.90/23.52 (v119(constB167) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26326, 476, 26318])).
% 34.90/23.52 tff(26328,plain,
% 34.90/23.52 ($false),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26327, 26323, 26316, 26315])).
% 34.90/23.52 tff(26329,plain,(v90(constB167, bitIndex1) | v119(constB167) | v90(constB167, bitIndex0) | v123(constB167)), inference(lemma,lemma(discharge,[]))).
% 34.90/23.52 tff(26330,plain,
% 34.90/23.52 (v90(constB167, bitIndex1)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26329, 26314, 26306, 26292])).
% 34.90/23.52 tff(26331,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB167) | (~v125(constB167)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB167) | (~v125(constB167)))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26332,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB167) | (~v125(constB167)))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26333,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB167) | (~v125(constB167))),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26332, 26331])).
% 34.90/23.52 tff(26334,plain,
% 34.90/23.52 (~v125(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26333, 2332, 26271])).
% 34.90/23.52 tff(26335,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | (~v90(constB167, bitIndex2)) | v125(constB167))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | (~v90(constB167, bitIndex2)) | v125(constB167))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26336,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | (~v90(constB167, bitIndex2)) | v125(constB167))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26337,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | (~v90(constB167, bitIndex2)) | v125(constB167)),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26336, 26335])).
% 34.90/23.52 tff(26338,plain,
% 34.90/23.52 ((~v90(constB167, bitIndex1)) | (~v90(constB167, bitIndex2)) | v125(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26337, 2321, 26306])).
% 34.90/23.52 tff(26339,plain,
% 34.90/23.52 (~v90(constB167, bitIndex2)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26338, 26330, 26334])).
% 34.90/23.52 tff(26340,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | v90(constB167, bitIndex2) | v121(constB167))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | v90(constB167, bitIndex2) | v121(constB167))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26341,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | v90(constB167, bitIndex2) | v121(constB167))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26342,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | v90(constB167, bitIndex2) | v121(constB167)),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26341, 26340])).
% 34.90/23.52 tff(26343,plain,
% 34.90/23.52 ((~v90(constB167, bitIndex1)) | v90(constB167, bitIndex2) | v121(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26342, 1242, 26306])).
% 34.90/23.52 tff(26344,plain,
% 34.90/23.52 ($false),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26343, 26339, 26330, 26288])).
% 34.90/23.52 tff(26345,plain,(v110(constB168) | v90(constB168, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.90/23.52 tff(26346,plain,
% 34.90/23.52 (v110(constB168)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26345, 26263])).
% 34.90/23.52 tff(26347,plain,
% 34.90/23.52 (v100(constB168)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26013, 26346])).
% 34.90/23.52 tff(26348,plain,
% 34.90/23.52 (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1))),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26125, 1131, 26347])).
% 34.90/23.52 tff(26349,plain,
% 34.90/23.52 (~v129(constB168, bitIndex1)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26348, 26254])).
% 34.90/23.52 tff(26350,plain,
% 34.90/23.52 (~v127(constB167, bitIndex1)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26118, 26349])).
% 34.90/23.52 tff(26351,plain,
% 34.90/23.52 (~v130(constB167, bitIndex1)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26113, 26350])).
% 34.90/23.52 tff(26352,plain,
% 34.90/23.52 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB167)) | v130(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB167)) | v130(constB167, bitIndex1))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26353,plain,
% 34.90/23.52 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB167)) | v130(constB167, bitIndex1))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26354,plain,
% 34.90/23.52 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB167)) | v130(constB167, bitIndex1)),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26353, 26352])).
% 34.90/23.52 tff(26355,plain,
% 34.90/23.52 (~v120(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26354, 1087, 26351])).
% 34.90/23.52 tff(26356,plain,
% 34.90/23.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~v129(constB168, bitIndex0)) | (~v100(constB168)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~v129(constB168, bitIndex0)) | (~v100(constB168)))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26357,plain,
% 34.90/23.52 ((v90(constB168, bitIndex0) | (~v100(constB168)) | (~v129(constB168, bitIndex0))) <=> (v90(constB168, bitIndex0) | (~v129(constB168, bitIndex0)) | (~v100(constB168)))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26358,plain,
% 34.90/23.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~v100(constB168)) | (~v129(constB168, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~v129(constB168, bitIndex0)) | (~v100(constB168))))),
% 34.90/23.52 inference(monotonicity,[status(thm)],[26357])).
% 34.90/23.52 tff(26359,plain,
% 34.90/23.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~v100(constB168)) | (~v129(constB168, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~v129(constB168, bitIndex0)) | (~v100(constB168)))),
% 34.90/23.52 inference(transitivity,[status(thm)],[26358, 26356])).
% 34.90/23.52 tff(26360,plain,
% 34.90/23.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~v100(constB168)) | (~v129(constB168, bitIndex0)))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26361,plain,
% 34.90/23.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~v129(constB168, bitIndex0)) | (~v100(constB168))),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26360, 26359])).
% 34.90/23.52 tff(26362,plain,
% 34.90/23.52 (~v129(constB168, bitIndex0)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26361, 885, 26347, 26263])).
% 34.90/23.52 tff(26363,plain,
% 34.90/23.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex0)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex0)) | v129(constB168, bitIndex0))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26364,plain,
% 34.90/23.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex0)) | v129(constB168, bitIndex0))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26365,plain,
% 34.90/23.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex0)) | v129(constB168, bitIndex0)),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26364, 26363])).
% 34.90/23.52 tff(26366,plain,
% 34.90/23.52 ((~v127(constB167, bitIndex0)) | v129(constB168, bitIndex0)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26365, 870, 25974])).
% 34.90/23.52 tff(26367,plain,
% 34.90/23.52 (~v127(constB167, bitIndex0)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26366, 26362])).
% 34.90/23.52 tff(26368,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB167) | (~v130(constB167, bitIndex0)) | v127(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB167) | (~v130(constB167, bitIndex0)) | v127(constB167, bitIndex0))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26369,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB167) | (~v130(constB167, bitIndex0)) | v127(constB167, bitIndex0))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26370,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB167) | (~v130(constB167, bitIndex0)) | v127(constB167, bitIndex0)),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26369, 26368])).
% 34.90/23.52 tff(26371,plain,
% 34.90/23.52 ((~v130(constB167, bitIndex0)) | v127(constB167, bitIndex0)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26370, 855, 25959])).
% 34.90/23.52 tff(26372,plain,
% 34.90/23.52 (~v130(constB167, bitIndex0)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26371, 26367])).
% 34.90/23.52 tff(26373,plain,
% 34.90/23.52 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB167)) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB167)) | v130(constB167, bitIndex0))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26374,plain,
% 34.90/23.52 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB167)) | v130(constB167, bitIndex0))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26375,plain,
% 34.90/23.52 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB167)) | v130(constB167, bitIndex0)),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26374, 26373])).
% 34.90/23.52 tff(26376,plain,
% 34.90/23.52 (~v121(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26375, 1445, 26372])).
% 34.90/23.52 tff(26377,plain,
% 34.90/23.52 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB167)) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB167)) | v130(constB167, bitIndex0))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26378,plain,
% 34.90/23.52 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB167)) | v130(constB167, bitIndex0))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26379,plain,
% 34.90/23.52 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB167)) | v130(constB167, bitIndex0)),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26378, 26377])).
% 34.90/23.52 tff(26380,plain,
% 34.90/23.52 (~v119(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26379, 841, 26372])).
% 34.90/23.52 tff(26381,plain,
% 34.90/23.52 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB167)) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB167)) | v130(constB167, bitIndex0))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26382,plain,
% 34.90/23.52 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB167)) | v130(constB167, bitIndex0))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26383,plain,
% 34.90/23.52 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB167)) | v130(constB167, bitIndex0)),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26382, 26381])).
% 34.90/23.52 tff(26384,plain,
% 34.90/23.52 (~v123(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26383, 1953, 26372])).
% 34.90/23.52 tff(26385,plain,
% 34.90/23.52 (~v124(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26108, 2145, 26351])).
% 34.90/23.52 tff(26386,assumption,(~v123(constB169)), introduced(assumption)).
% 34.90/23.52 tff(26387,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v123(constB169))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v123(constB169))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26388,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v123(constB169))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26389,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v123(constB169)),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26388, 26387])).
% 34.90/23.52 tff(26390,plain,
% 34.90/23.52 (v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2))),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26389, 1765, 26386])).
% 34.90/23.52 tff(26391,plain,
% 34.90/23.52 (~v90(constB169, bitIndex2)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26390, 26253, 26252])).
% 34.90/23.52 tff(26392,plain,
% 34.90/23.52 (~v90(constB168, bitIndex2)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26100, 26391])).
% 34.90/23.52 tff(26393,plain,
% 34.90/23.52 (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2))),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26090, 1622, 26347])).
% 34.90/23.52 tff(26394,plain,
% 34.90/23.52 (~v129(constB168, bitIndex2)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26393, 26392])).
% 34.90/23.52 tff(26395,plain,
% 34.90/23.52 (~v127(constB167, bitIndex2)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26083, 26394])).
% 34.90/23.52 tff(26396,plain,
% 34.90/23.52 (~v130(constB167, bitIndex2)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26078, 26395])).
% 34.90/23.52 tff(26397,plain,
% 34.90/23.52 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB167)) | v130(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB167)) | v130(constB167, bitIndex2))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26398,plain,
% 34.90/23.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB167)) | v130(constB167, bitIndex2))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26399,plain,
% 34.90/23.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB167)) | v130(constB167, bitIndex2)),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26398, 26397])).
% 34.90/23.52 tff(26400,plain,
% 34.90/23.52 (~v122(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26399, 1578, 26396])).
% 34.90/23.52 tff(26401,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB167) | v123(constB167) | v122(constB167) | v121(constB167) | v120(constB167) | v119(constB167) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB167) | v123(constB167) | v122(constB167) | v121(constB167) | v120(constB167) | v119(constB167) | v130(constB167, bitIndex0))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26402,plain,
% 34.90/23.52 ((v120(constB167) | v119(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, bitIndex0)) <=> (v124(constB167) | v123(constB167) | v122(constB167) | v121(constB167) | v120(constB167) | v119(constB167) | v130(constB167, bitIndex0))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.52 tff(26403,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB167) | v119(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB167) | v123(constB167) | v122(constB167) | v121(constB167) | v120(constB167) | v119(constB167) | v130(constB167, bitIndex0)))),
% 34.90/23.52 inference(monotonicity,[status(thm)],[26402])).
% 34.90/23.52 tff(26404,plain,
% 34.90/23.52 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB167) | v119(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB167) | v123(constB167) | v122(constB167) | v121(constB167) | v120(constB167) | v119(constB167) | v130(constB167, bitIndex0))),
% 34.90/23.52 inference(transitivity,[status(thm)],[26403, 26401])).
% 34.90/23.52 tff(26405,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB167) | v119(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, bitIndex0))),
% 34.90/23.52 inference(quant_inst,[status(thm)],[])).
% 34.90/23.52 tff(26406,plain,
% 34.90/23.52 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB167) | v123(constB167) | v122(constB167) | v121(constB167) | v120(constB167) | v119(constB167) | v130(constB167, bitIndex0)),
% 34.90/23.52 inference(modus_ponens,[status(thm)],[26405, 26404])).
% 34.90/23.52 tff(26407,plain,
% 34.90/23.52 (v124(constB167) | v123(constB167) | v122(constB167) | v121(constB167) | v120(constB167) | v119(constB167)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26406, 2495, 26372])).
% 34.90/23.52 tff(26408,plain,
% 34.90/23.52 ($false),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26407, 26400, 26385, 26384, 26380, 26376, 26355])).
% 34.90/23.52 tff(26409,plain,(v90(constB169, bitIndex1) | v90(constB169, bitIndex0) | v123(constB169)), inference(lemma,lemma(discharge,[]))).
% 34.90/23.52 tff(26410,plain,
% 34.90/23.52 (v90(constB169, bitIndex1)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26409, 26252, 26251])).
% 34.90/23.52 tff(26411,plain,
% 34.90/23.52 (~v124(constB169)),
% 34.90/23.52 inference(unit_resolution,[status(thm)],[26237, 2205, 26410])).
% 34.90/23.52 tff(26412,plain,
% 34.90/23.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v120(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v120(constB169)))),
% 34.90/23.52 inference(rewrite,[status(thm)],[])).
% 34.90/23.53 tff(26413,plain,
% 34.90/23.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v120(constB169)))),
% 34.90/23.53 inference(quant_inst,[status(thm)],[])).
% 34.90/23.53 tff(26414,plain,
% 34.90/23.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v120(constB169))),
% 34.90/23.53 inference(modus_ponens,[status(thm)],[26413, 26412])).
% 34.90/23.53 tff(26415,plain,
% 34.90/23.53 (~v120(constB169)),
% 34.90/23.53 inference(unit_resolution,[status(thm)],[26414, 2183, 26410])).
% 34.90/23.53 tff(26416,plain,
% 34.90/23.53 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))),
% 34.90/23.53 inference(rewrite,[status(thm)],[])).
% 34.90/23.53 tff(26417,plain,
% 34.90/23.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))),
% 34.90/23.53 inference(quant_inst,[status(thm)],[])).
% 34.90/23.53 tff(26418,plain,
% 34.90/23.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169)),
% 34.90/23.53 inference(modus_ponens,[status(thm)],[26417, 26416])).
% 34.90/23.53 tff(26419,plain,
% 34.90/23.53 (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2)),
% 34.90/23.53 inference(unit_resolution,[status(thm)],[26418, 1242, 26247])).
% 34.90/23.53 tff(26420,plain,
% 34.90/23.53 (v90(constB169, bitIndex2)),
% 34.90/23.53 inference(unit_resolution,[status(thm)],[26419, 26410, 26252])).
% 34.90/23.53 tff(26421,plain,
% 34.90/23.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB169, bitIndex2)) | (~v122(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB169, bitIndex2)) | (~v122(constB169)))),
% 34.90/23.53 inference(rewrite,[status(thm)],[])).
% 34.90/23.53 tff(26422,plain,
% 34.90/23.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB169, bitIndex2)) | (~v122(constB169)))),
% 34.90/23.53 inference(quant_inst,[status(thm)],[])).
% 34.90/23.53 tff(26423,plain,
% 34.90/23.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB169, bitIndex2)) | (~v122(constB169))),
% 34.90/23.53 inference(modus_ponens,[status(thm)],[26422, 26421])).
% 34.90/23.53 tff(26424,plain,
% 34.90/23.53 (~v122(constB169)),
% 34.90/23.53 inference(unit_resolution,[status(thm)],[26423, 2131, 26420])).
% 34.90/23.53 tff(26425,plain,
% 34.90/23.53 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0))),
% 34.90/23.53 inference(rewrite,[status(thm)],[])).
% 34.90/23.53 tff(26426,plain,
% 34.90/23.53 ((v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0)) <=> (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0))),
% 34.90/23.53 inference(rewrite,[status(thm)],[])).
% 34.90/23.53 tff(26427,plain,
% 34.90/23.53 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0)))),
% 34.90/23.53 inference(monotonicity,[status(thm)],[26426])).
% 34.90/23.53 tff(26428,plain,
% 34.90/23.53 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0))),
% 34.90/23.53 inference(transitivity,[status(thm)],[26427, 26425])).
% 34.90/23.53 tff(26429,plain,
% 34.90/23.53 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))),
% 34.90/23.53 inference(quant_inst,[status(thm)],[])).
% 34.90/23.53 tff(26430,plain,
% 34.90/23.53 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0)),
% 34.90/23.53 inference(modus_ponens,[status(thm)],[26429, 26428])).
% 34.90/23.53 tff(26431,plain,
% 34.90/23.53 (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169)),
% 34.90/23.53 inference(unit_resolution,[status(thm)],[26430, 2495, 26239])).
% 34.90/23.53 tff(26432,plain,
% 34.90/23.53 ($false),
% 34.90/23.53 inference(unit_resolution,[status(thm)],[26431, 26424, 26415, 26251, 26411, 26247, 26243])).
% 34.90/23.53 tff(26433,plain,(v90(constB169, bitIndex0) | v130(constB169, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.90/23.53 tff(26434,plain,
% 34.90/23.53 (v130(constB169, bitIndex0)),
% 34.90/23.53 inference(unit_resolution,[status(thm)],[26433, 26066])).
% 34.90/23.53 tff(26435,assumption,(v26(constB169)), introduced(assumption)).
% 34.90/23.53 tff(26436,plain,
% 34.90/23.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB169))),
% 34.90/23.53 inference(quant_inst,[status(thm)],[])).
% 34.90/23.53 tff(26437,plain,
% 34.90/23.53 ($false),
% 34.90/23.53 inference(unit_resolution,[status(thm)],[26436, 120, 26435])).
% 34.90/23.53 tff(26438,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 34.90/23.53 tff(26439,plain,
% 34.90/23.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 34.90/23.53 inference(rewrite,[status(thm)],[])).
% 34.90/23.53 tff(26440,plain,
% 34.90/23.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 34.90/23.53 inference(quant_inst,[status(thm)],[])).
% 34.90/23.53 tff(26441,plain,
% 34.90/23.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 34.90/23.53 inference(modus_ponens,[status(thm)],[26440, 26439])).
% 34.90/23.53 tff(26442,plain,
% 34.90/23.53 ((~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 34.90/23.53 inference(unit_resolution,[status(thm)],[26441, 855, 26438])).
% 34.90/23.53 tff(26443,plain,
% 34.90/23.53 (v127(constB169, bitIndex0)),
% 34.90/23.53 inference(unit_resolution,[status(thm)],[26442, 26434])).
% 34.90/23.53 tff(26444,plain,
% 34.90/23.53 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 34.90/23.53 inference(rewrite,[status(thm)],[])).
% 34.90/23.53 tff(26445,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 34.90/23.53 tff(26446,plain,
% 34.90/23.53 (nextState(constB169, constB170)),
% 34.90/23.53 inference(modus_ponens,[status(thm)],[26445, 26444])).
% 34.94/23.53 tff(26447,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26448,plain,
% 34.94/23.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26449,plain,
% 34.94/23.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26448, 26447])).
% 34.94/23.53 tff(26450,plain,
% 34.94/23.53 ((~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26449, 870, 26446])).
% 34.94/23.53 tff(26451,plain,
% 34.94/23.53 (v129(constB170, bitIndex0)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26450, 26443])).
% 34.94/23.53 tff(26452,assumption,(~v90(constB170, bitIndex0)), introduced(assumption)).
% 34.94/23.53 tff(26453,assumption,(~v100(constB170)), introduced(assumption)).
% 34.94/23.53 tff(26454,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26455,plain,
% 34.94/23.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26456,plain,
% 34.94/23.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170))),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26455, 26454])).
% 34.94/23.53 tff(26457,plain,
% 34.94/23.53 (~v104(constB170)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26456, 603, 26446, 26042])).
% 34.94/23.53 tff(26458,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26459,plain,
% 34.94/23.53 (((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170)) <=> ((~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26460,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | v102(constB170)))),
% 34.94/23.53 inference(monotonicity,[status(thm)],[26459])).
% 34.94/23.53 tff(26461,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))),
% 34.94/23.53 inference(transitivity,[status(thm)],[26460, 26458])).
% 34.94/23.53 tff(26462,plain,
% 34.94/23.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26463,plain,
% 34.94/23.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | v102(constB170)),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26462, 26461])).
% 34.94/23.53 tff(26464,plain,
% 34.94/23.53 (v104(constB170) | v102(constB170)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26463, 617, 26446])).
% 34.94/23.53 tff(26465,plain,
% 34.94/23.53 (v102(constB170)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26464, 26457])).
% 34.94/23.53 tff(26466,plain,
% 34.94/23.53 (v1(constB170) <=> v1(constB170)),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26467,axiom,(v1(constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 34.94/23.53 tff(26468,plain,
% 34.94/23.53 (v1(constB170)),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26467, 26466])).
% 34.94/23.53 tff(26469,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26470,plain,
% 34.94/23.53 (((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170))) <=> ((~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26471,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170))))),
% 34.94/23.53 inference(monotonicity,[status(thm)],[26470])).
% 34.94/23.53 tff(26472,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))),
% 34.94/23.53 inference(transitivity,[status(thm)],[26471, 26469])).
% 34.94/23.53 tff(26473,plain,
% 34.94/23.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26474,plain,
% 34.94/23.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170))),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26473, 26472])).
% 34.94/23.53 tff(26475,plain,
% 34.94/23.53 (v101(constB170) | (~v102(constB170))),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26474, 638, 26446, 26468])).
% 34.94/23.53 tff(26476,plain,
% 34.94/23.53 (v101(constB170)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26475, 26465])).
% 34.94/23.53 tff(26477,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26478,plain,
% 34.94/23.53 (((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170)) <=> ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26479,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))))),
% 34.94/23.53 inference(monotonicity,[status(thm)],[26478])).
% 34.94/23.53 tff(26480,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 34.94/23.53 inference(transitivity,[status(thm)],[26479, 26477])).
% 34.94/23.53 tff(26481,plain,
% 34.94/23.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26482,plain,
% 34.94/23.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26481, 26480])).
% 34.94/23.53 tff(26483,plain,
% 34.94/23.53 (v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26482, 656, 26446])).
% 34.94/23.53 tff(26484,plain,
% 34.94/23.53 (v100(constB170) | (~v110(constB170))),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26483, 26476])).
% 34.94/23.53 tff(26485,plain,
% 34.94/23.53 (~v110(constB170)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26484, 26453])).
% 34.94/23.53 tff(26486,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26487,plain,
% 34.94/23.53 (((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170)) <=> ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26488,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))))),
% 34.94/23.53 inference(monotonicity,[status(thm)],[26487])).
% 34.94/23.53 tff(26489,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 34.94/23.53 inference(transitivity,[status(thm)],[26488, 26486])).
% 34.94/23.53 tff(26490,plain,
% 34.94/23.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26491,plain,
% 34.94/23.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26490, 26489])).
% 34.94/23.53 tff(26492,plain,
% 34.94/23.53 (v110(constB170) | (~v108(constB169))),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26491, 585, 26446])).
% 34.94/23.53 tff(26493,plain,
% 34.94/23.53 (~v108(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26492, 26485])).
% 34.94/23.53 tff(26494,plain,
% 34.94/23.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB169) | (~v112(constB169)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB169) | (~v112(constB169)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26495,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB169) | (~v112(constB169)))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26496,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB169) | (~v112(constB169))),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26495, 26494])).
% 34.94/23.53 tff(26497,plain,
% 34.94/23.53 (~v112(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26496, 568, 26493])).
% 34.94/23.53 tff(26498,plain,
% 34.94/23.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26499,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26500,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169)),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26499, 26498])).
% 34.94/23.53 tff(26501,plain,
% 34.94/23.53 ((~v113(constB169)) | v112(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26500, 556, 26438])).
% 34.94/23.53 tff(26502,plain,
% 34.94/23.53 (~v113(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26501, 26497])).
% 34.94/23.53 tff(26503,plain,
% 34.94/23.53 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB169) | (~v114(constB169)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB169) | (~v114(constB169)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26504,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB169) | (~v114(constB169)))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26505,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB169) | (~v114(constB169))),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26504, 26503])).
% 34.94/23.53 tff(26506,plain,
% 34.94/23.53 (~v114(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26505, 542, 26502])).
% 34.94/23.53 tff(26507,plain,
% 34.94/23.53 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB169) | (~v115(constB169)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB169) | (~v115(constB169)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26508,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB169) | (~v115(constB169)))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26509,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB169) | (~v115(constB169))),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26508, 26507])).
% 34.94/23.53 tff(26510,plain,
% 34.94/23.53 (~v115(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26509, 531, 26506])).
% 34.94/23.53 tff(26511,plain,
% 34.94/23.53 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB169) | (~v116(constB169)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB169) | (~v116(constB169)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26512,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB169) | (~v116(constB169)))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26513,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB169) | (~v116(constB169))),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26512, 26511])).
% 34.94/23.53 tff(26514,plain,
% 34.94/23.53 (~v116(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26513, 520, 26510])).
% 34.94/23.53 tff(26515,plain,
% 34.94/23.53 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB169) | (~v117(constB169)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB169) | (~v117(constB169)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26516,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB169) | (~v117(constB169)))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26517,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB169) | (~v117(constB169))),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26516, 26515])).
% 34.94/23.53 tff(26518,plain,
% 34.94/23.53 (~v117(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26517, 509, 26514])).
% 34.94/23.53 tff(26519,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26520,plain,
% 34.94/23.53 (((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex0)) | v100(constB170) | v90(constB170, bitIndex0)) <=> ((~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26521,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex0)) | v100(constB170) | v90(constB170, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0)))),
% 34.94/23.53 inference(monotonicity,[status(thm)],[26520])).
% 34.94/23.53 tff(26522,plain,
% 34.94/23.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex0)) | v100(constB170) | v90(constB170, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0))),
% 34.94/23.53 inference(transitivity,[status(thm)],[26521, 26519])).
% 34.94/23.53 tff(26523,plain,
% 34.94/23.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex0)) | v100(constB170) | v90(constB170, bitIndex0))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26524,plain,
% 34.94/23.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0)),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26523, 26522])).
% 34.94/23.53 tff(26525,plain,
% 34.94/23.53 ((~v90(constB169, bitIndex0)) | v100(constB170) | v90(constB170, bitIndex0)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26524, 903, 26446])).
% 34.94/23.53 tff(26526,plain,
% 34.94/23.53 (~v90(constB169, bitIndex0)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26525, 26453, 26452])).
% 34.94/23.53 tff(26527,plain,
% 34.94/23.53 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB169) | (~v123(constB169)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB169) | (~v123(constB169)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26528,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB169) | (~v123(constB169)))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26529,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB169) | (~v123(constB169))),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26528, 26527])).
% 34.94/23.53 tff(26530,plain,
% 34.94/23.53 (~v123(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26529, 1776, 26510])).
% 34.94/23.53 tff(26531,plain,
% 34.94/23.53 (v90(constB169, bitIndex1)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26409, 26530, 26526])).
% 34.94/23.53 tff(26532,plain,
% 34.94/23.53 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB169) | (~v125(constB169)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB169) | (~v125(constB169)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26533,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB169) | (~v125(constB169)))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26534,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB169) | (~v125(constB169))),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26533, 26532])).
% 34.94/23.53 tff(26535,plain,
% 34.94/23.53 (~v125(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26534, 2332, 26502])).
% 34.94/23.53 tff(26536,plain,
% 34.94/23.53 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26537,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26538,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169)),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26537, 26536])).
% 34.94/23.53 tff(26539,plain,
% 34.94/23.53 ((~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26538, 2321, 26526])).
% 34.94/23.53 tff(26540,plain,
% 34.94/23.53 (~v90(constB169, bitIndex2)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26539, 26531, 26535])).
% 34.94/23.53 tff(26541,plain,
% 34.94/23.53 ((~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26418, 1242, 26526])).
% 34.94/23.53 tff(26542,plain,
% 34.94/23.53 (v121(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26541, 26540, 26531])).
% 34.94/23.53 tff(26543,plain,
% 34.94/23.53 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB169) | (~v121(constB169)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB169) | (~v121(constB169)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26544,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB169) | (~v121(constB169)))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26545,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB169) | (~v121(constB169))),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26544, 26543])).
% 34.94/23.53 tff(26546,plain,
% 34.94/23.53 ($false),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26545, 1253, 26542, 26518])).
% 34.94/23.53 tff(26547,plain,(v100(constB170) | v90(constB170, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 34.94/23.53 tff(26548,plain,
% 34.94/23.53 (v100(constB170)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26547, 26452])).
% 34.94/23.53 tff(26549,assumption,(v129(constB170, bitIndex0)), introduced(assumption)).
% 34.94/23.53 tff(26550,plain,
% 34.94/23.53 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26551,plain,
% 34.94/23.53 ((v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0))) <=> (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26552,plain,
% 34.94/23.53 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))))),
% 34.94/23.53 inference(monotonicity,[status(thm)],[26551])).
% 34.94/23.53 tff(26553,plain,
% 34.94/23.53 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 34.94/23.53 inference(transitivity,[status(thm)],[26552, 26550])).
% 34.94/23.53 tff(26554,plain,
% 34.94/23.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26555,plain,
% 34.94/23.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26554, 26553])).
% 34.94/23.53 tff(26556,plain,
% 34.94/23.53 (v90(constB170, bitIndex0) | (~v100(constB170))),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26555, 885, 26549])).
% 34.94/23.53 tff(26557,plain,
% 34.94/23.53 ($false),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26556, 26548, 26452])).
% 34.94/23.53 tff(26558,plain,(v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.94/23.53 tff(26559,plain,
% 34.94/23.53 (v90(constB170, bitIndex0)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26558, 26451])).
% 34.94/23.53 tff(26560,assumption,(v122(constB169)), introduced(assumption)).
% 34.94/23.53 tff(26561,plain,
% 34.94/23.53 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB169) | (~v122(constB169)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB169) | (~v122(constB169)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26562,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB169) | (~v122(constB169)))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26563,plain,
% 34.94/23.53 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB169) | (~v122(constB169))),
% 34.94/23.53 inference(modus_ponens,[status(thm)],[26562, 26561])).
% 34.94/23.53 tff(26564,plain,
% 34.94/23.53 (v116(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26563, 1497, 26560])).
% 34.94/23.53 tff(26565,plain,
% 34.94/23.53 (v115(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26513, 520, 26564])).
% 34.94/23.53 tff(26566,plain,
% 34.94/23.53 (v114(constB169)),
% 34.94/23.53 inference(unit_resolution,[status(thm)],[26509, 531, 26565])).
% 34.94/23.53 tff(26567,plain,
% 34.94/23.53 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB169)) | (~v130(constB169, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB169)) | (~v130(constB169, bitIndex0)))),
% 34.94/23.53 inference(rewrite,[status(thm)],[])).
% 34.94/23.53 tff(26568,plain,
% 34.94/23.53 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB169)) | (~v130(constB169, bitIndex0)))),
% 34.94/23.53 inference(quant_inst,[status(thm)],[])).
% 34.94/23.53 tff(26569,plain,
% 34.94/23.53 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB169)) | (~v130(constB169, bitIndex0))),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26568, 26567])).
% 34.94/23.54 tff(26570,plain,
% 34.94/23.54 (~v130(constB169, bitIndex0)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26569, 1721, 26560])).
% 34.94/23.54 tff(26571,plain,
% 34.94/23.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB169, bitIndex0)) | v26(constB169) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB169, bitIndex0)) | v26(constB169) | v130(constB169, bitIndex0))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26572,plain,
% 34.94/23.54 ((v26(constB169) | v130(constB169, bitIndex0) | (~v127(constB169, bitIndex0))) <=> ((~v127(constB169, bitIndex0)) | v26(constB169) | v130(constB169, bitIndex0))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26573,plain,
% 34.94/23.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB169) | v130(constB169, bitIndex0) | (~v127(constB169, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB169, bitIndex0)) | v26(constB169) | v130(constB169, bitIndex0)))),
% 34.94/23.54 inference(monotonicity,[status(thm)],[26572])).
% 34.94/23.54 tff(26574,plain,
% 34.94/23.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB169) | v130(constB169, bitIndex0) | (~v127(constB169, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB169, bitIndex0)) | v26(constB169) | v130(constB169, bitIndex0))),
% 34.94/23.54 inference(transitivity,[status(thm)],[26573, 26571])).
% 34.94/23.54 tff(26575,plain,
% 34.94/23.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB169) | v130(constB169, bitIndex0) | (~v127(constB169, bitIndex0)))),
% 34.94/23.54 inference(quant_inst,[status(thm)],[])).
% 34.94/23.54 tff(26576,plain,
% 34.94/23.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB169, bitIndex0)) | v26(constB169) | v130(constB169, bitIndex0)),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26575, 26574])).
% 34.94/23.54 tff(26577,plain,
% 34.94/23.54 ((~v127(constB169, bitIndex0)) | v130(constB169, bitIndex0)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26576, 1182, 26438])).
% 34.94/23.54 tff(26578,plain,
% 34.94/23.54 (~v127(constB169, bitIndex0)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26577, 26570])).
% 34.94/23.54 tff(26579,plain,
% 34.94/23.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex0) | (~v129(constB170, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex0) | (~v129(constB170, bitIndex0)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26580,plain,
% 34.94/23.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex0) | (~v129(constB170, bitIndex0)))),
% 34.94/23.54 inference(quant_inst,[status(thm)],[])).
% 34.94/23.54 tff(26581,plain,
% 34.94/23.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex0) | (~v129(constB170, bitIndex0))),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26580, 26579])).
% 34.94/23.54 tff(26582,plain,
% 34.94/23.54 (v127(constB169, bitIndex0) | (~v129(constB170, bitIndex0))),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26581, 1200, 26446])).
% 34.94/23.54 tff(26583,plain,
% 34.94/23.54 (~v129(constB170, bitIndex0)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26582, 26578])).
% 34.94/23.54 tff(26584,assumption,(v90(constB170, bitIndex0)), introduced(assumption)).
% 34.94/23.54 tff(26585,plain,
% 34.94/23.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | v129(constB170, bitIndex0) | (~v100(constB170)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | v129(constB170, bitIndex0) | (~v100(constB170)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26586,plain,
% 34.94/23.54 (((~v90(constB170, bitIndex0)) | (~v100(constB170)) | v129(constB170, bitIndex0)) <=> ((~v90(constB170, bitIndex0)) | v129(constB170, bitIndex0) | (~v100(constB170)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26587,plain,
% 34.94/23.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~v100(constB170)) | v129(constB170, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | v129(constB170, bitIndex0) | (~v100(constB170))))),
% 34.94/23.54 inference(monotonicity,[status(thm)],[26586])).
% 34.94/23.54 tff(26588,plain,
% 34.94/23.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~v100(constB170)) | v129(constB170, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | v129(constB170, bitIndex0) | (~v100(constB170)))),
% 34.94/23.54 inference(transitivity,[status(thm)],[26587, 26585])).
% 34.94/23.54 tff(26589,plain,
% 34.94/23.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~v100(constB170)) | v129(constB170, bitIndex0))),
% 34.94/23.54 inference(quant_inst,[status(thm)],[])).
% 34.94/23.54 tff(26590,plain,
% 34.94/23.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | v129(constB170, bitIndex0) | (~v100(constB170))),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26589, 26588])).
% 34.94/23.54 tff(26591,plain,
% 34.94/23.54 (v129(constB170, bitIndex0) | (~v100(constB170))),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26590, 1215, 26584])).
% 34.94/23.54 tff(26592,plain,
% 34.94/23.54 (~v100(constB170)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26591, 26583])).
% 34.94/23.54 tff(26593,plain,
% 34.94/23.54 (~v110(constB170)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26484, 26592])).
% 34.94/23.54 tff(26594,plain,
% 34.94/23.54 (~v108(constB169)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26492, 26593])).
% 34.94/23.54 tff(26595,plain,
% 34.94/23.54 (~v112(constB169)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26496, 568, 26594])).
% 34.94/23.54 tff(26596,plain,
% 34.94/23.54 (~v113(constB169)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26501, 26595])).
% 34.94/23.54 tff(26597,plain,
% 34.94/23.54 ($false),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26505, 542, 26596, 26566])).
% 34.94/23.54 tff(26598,plain,((~v122(constB169)) | (~v90(constB170, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.94/23.54 tff(26599,plain,
% 34.94/23.54 (~v122(constB169)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26598, 26559])).
% 34.94/23.54 tff(26600,plain,
% 34.94/23.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v123(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v123(constB169)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26601,plain,
% 34.94/23.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v123(constB169)))),
% 34.94/23.54 inference(quant_inst,[status(thm)],[])).
% 34.94/23.54 tff(26602,plain,
% 34.94/23.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v123(constB169))),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26601, 26600])).
% 34.94/23.54 tff(26603,plain,
% 34.94/23.54 (~v123(constB169)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26602, 2194, 26136])).
% 34.94/23.54 tff(26604,assumption,(v120(constB169)), introduced(assumption)).
% 34.94/23.54 tff(26605,plain,
% 34.94/23.54 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB169) | (~v120(constB169)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB169) | (~v120(constB169)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26606,plain,
% 34.94/23.54 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB169) | (~v120(constB169)))),
% 34.94/23.54 inference(quant_inst,[status(thm)],[])).
% 34.94/23.54 tff(26607,plain,
% 34.94/23.54 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB169) | (~v120(constB169))),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26606, 26605])).
% 34.94/23.54 tff(26608,plain,
% 34.94/23.54 (v118(constB169)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26607, 936, 26604])).
% 34.94/23.54 tff(26609,plain,
% 34.94/23.54 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB169) | (~v118(constB169)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB169) | (~v118(constB169)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26610,plain,
% 34.94/23.54 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB169) | (~v118(constB169)))),
% 34.94/23.54 inference(quant_inst,[status(thm)],[])).
% 34.94/23.54 tff(26611,plain,
% 34.94/23.54 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB169) | (~v118(constB169))),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26610, 26609])).
% 34.94/23.54 tff(26612,plain,
% 34.94/23.54 (v117(constB169)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26611, 498, 26608])).
% 34.94/23.54 tff(26613,plain,
% 34.94/23.54 (v116(constB169)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26517, 509, 26612])).
% 34.94/23.54 tff(26614,plain,
% 34.94/23.54 (v115(constB169)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26513, 520, 26613])).
% 34.94/23.54 tff(26615,plain,
% 34.94/23.54 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB169)) | (~v130(constB169, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB169)) | (~v130(constB169, bitIndex0)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26616,plain,
% 34.94/23.54 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB169)) | (~v130(constB169, bitIndex0)))),
% 34.94/23.54 inference(quant_inst,[status(thm)],[])).
% 34.94/23.54 tff(26617,plain,
% 34.94/23.54 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB169)) | (~v130(constB169, bitIndex0))),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26616, 26615])).
% 34.94/23.54 tff(26618,plain,
% 34.94/23.54 (~v130(constB169, bitIndex0)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26617, 1168, 26604])).
% 34.94/23.54 tff(26619,plain,
% 34.94/23.54 (~v127(constB169, bitIndex0)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26577, 26618])).
% 34.94/23.54 tff(26620,plain,
% 34.94/23.54 (~v129(constB170, bitIndex0)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26582, 26619])).
% 34.94/23.54 tff(26621,plain,
% 34.94/23.54 (~v100(constB170)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26591, 26620])).
% 34.94/23.54 tff(26622,plain,
% 34.94/23.54 (~v110(constB170)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26484, 26621])).
% 34.94/23.54 tff(26623,plain,
% 34.94/23.54 (~v108(constB169)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26492, 26622])).
% 34.94/23.54 tff(26624,plain,
% 34.94/23.54 (~v112(constB169)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26496, 568, 26623])).
% 34.94/23.54 tff(26625,plain,
% 34.94/23.54 (~v113(constB169)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26501, 26624])).
% 34.94/23.54 tff(26626,plain,
% 34.94/23.54 (~v114(constB169)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26505, 542, 26625])).
% 34.94/23.54 tff(26627,plain,
% 34.94/23.54 ($false),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26509, 531, 26626, 26614])).
% 34.94/23.54 tff(26628,plain,((~v120(constB169)) | (~v90(constB170, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 34.94/23.54 tff(26629,plain,
% 34.94/23.54 (~v120(constB169)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26628, 26559])).
% 34.94/23.54 tff(26630,plain,
% 34.94/23.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex1)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26631,plain,
% 34.94/23.54 ((v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1))) <=> (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex1)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26632,plain,
% 34.94/23.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex1))))),
% 34.94/23.54 inference(monotonicity,[status(thm)],[26631])).
% 34.94/23.54 tff(26633,plain,
% 34.94/23.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex1)))),
% 34.94/23.54 inference(transitivity,[status(thm)],[26632, 26630])).
% 34.94/23.54 tff(26634,plain,
% 34.94/23.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1)))),
% 34.94/23.54 inference(quant_inst,[status(thm)],[])).
% 34.94/23.54 tff(26635,plain,
% 34.94/23.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex1))),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26634, 26633])).
% 34.94/23.54 tff(26636,plain,
% 34.94/23.54 (~v130(constB169, bitIndex1)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26635, 2448, 26629, 26603, 26599, 26238, 26234, 26230])).
% 34.94/23.54 tff(26637,plain,
% 34.94/23.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26638,plain,
% 34.94/23.54 ((v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1))) <=> ((~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26639,plain,
% 34.94/23.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1)))),
% 34.94/23.54 inference(monotonicity,[status(thm)],[26638])).
% 34.94/23.54 tff(26640,plain,
% 34.94/23.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))),
% 34.94/23.54 inference(transitivity,[status(thm)],[26639, 26637])).
% 34.94/23.54 tff(26641,plain,
% 34.94/23.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1)))),
% 34.94/23.54 inference(quant_inst,[status(thm)],[])).
% 34.94/23.54 tff(26642,plain,
% 34.94/23.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1)),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26641, 26640])).
% 34.94/23.54 tff(26643,plain,
% 34.94/23.54 ((~v127(constB169, bitIndex1)) | v130(constB169, bitIndex1)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26642, 781, 26438])).
% 34.94/23.54 tff(26644,plain,
% 34.94/23.54 (~v127(constB169, bitIndex1)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26643, 26636])).
% 34.94/23.54 tff(26645,plain,
% 34.94/23.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26646,plain,
% 34.94/23.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1)))),
% 34.94/23.54 inference(quant_inst,[status(thm)],[])).
% 34.94/23.54 tff(26647,plain,
% 34.94/23.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1))),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26646, 26645])).
% 34.94/23.54 tff(26648,plain,
% 34.94/23.54 (v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1))),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26647, 799, 26446])).
% 34.94/23.54 tff(26649,plain,
% 34.94/23.54 (~v129(constB170, bitIndex1)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26648, 26644])).
% 34.94/23.54 tff(26650,plain,
% 34.94/23.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB169, bitIndex0) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB169, bitIndex0) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, bitIndex0)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26651,plain,
% 34.94/23.54 (((~nextState(constB169, constB170)) | v90(constB169, bitIndex0) | v100(constB170) | (~v90(constB170, bitIndex0))) <=> (v90(constB169, bitIndex0) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, bitIndex0)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26652,plain,
% 34.94/23.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB169, constB170)) | v90(constB169, bitIndex0) | v100(constB170) | (~v90(constB170, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB169, bitIndex0) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, bitIndex0))))),
% 34.94/23.54 inference(monotonicity,[status(thm)],[26651])).
% 34.94/23.54 tff(26653,plain,
% 34.94/23.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB169, constB170)) | v90(constB169, bitIndex0) | v100(constB170) | (~v90(constB170, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB169, bitIndex0) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, bitIndex0)))),
% 34.94/23.54 inference(transitivity,[status(thm)],[26652, 26650])).
% 34.94/23.54 tff(26654,plain,
% 34.94/23.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB169, constB170)) | v90(constB169, bitIndex0) | v100(constB170) | (~v90(constB170, bitIndex0)))),
% 34.94/23.54 inference(quant_inst,[status(thm)],[])).
% 34.94/23.54 tff(26655,plain,
% 34.94/23.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB169, bitIndex0) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, bitIndex0))),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26654, 26653])).
% 34.94/23.54 tff(26656,plain,
% 34.94/23.54 (v90(constB169, bitIndex0) | v100(constB170) | (~v90(constB170, bitIndex0))),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26655, 455, 26446])).
% 34.94/23.54 tff(26657,plain,
% 34.94/23.54 (v100(constB170)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26656, 26559, 26066])).
% 34.94/23.54 tff(26658,plain,
% 34.94/23.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26659,plain,
% 34.94/23.54 (((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1)) <=> ((~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26660,plain,
% 34.94/23.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170))))),
% 34.94/23.54 inference(monotonicity,[status(thm)],[26659])).
% 34.94/23.54 tff(26661,plain,
% 34.94/23.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))),
% 34.94/23.54 inference(transitivity,[status(thm)],[26660, 26658])).
% 34.94/23.54 tff(26662,plain,
% 34.94/23.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1))),
% 34.94/23.54 inference(quant_inst,[status(thm)],[])).
% 34.94/23.54 tff(26663,plain,
% 34.94/23.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170))),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26662, 26661])).
% 34.94/23.54 tff(26664,plain,
% 34.94/23.54 ((~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26663, 814, 26657])).
% 34.94/23.54 tff(26665,plain,
% 34.94/23.54 (~v90(constB170, bitIndex1)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26664, 26649])).
% 34.94/23.54 tff(26666,plain,
% 34.94/23.54 ((~v1(constB171)) <=> (~v1(constB171))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26667,axiom,(~v1(constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 34.94/23.54 tff(26668,plain,
% 34.94/23.54 (~v1(constB171)),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26667, 26666])).
% 34.94/23.54 tff(26669,plain,
% 34.94/23.54 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26670,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 34.94/23.54 tff(26671,plain,
% 34.94/23.54 (nextState(constB170, constB171)),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26670, 26669])).
% 34.94/23.54 tff(26672,plain,
% 34.94/23.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26673,plain,
% 34.94/23.54 (((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26674,plain,
% 34.94/23.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))))),
% 34.94/23.54 inference(monotonicity,[status(thm)],[26673])).
% 34.94/23.54 tff(26675,plain,
% 34.94/23.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 34.94/23.54 inference(transitivity,[status(thm)],[26674, 26672])).
% 34.94/23.54 tff(26676,plain,
% 34.94/23.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))),
% 34.94/23.54 inference(quant_inst,[status(thm)],[])).
% 34.94/23.54 tff(26677,plain,
% 34.94/23.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26676, 26675])).
% 34.94/23.54 tff(26678,plain,
% 34.94/23.54 (~v101(constB171)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26677, 381, 26671, 26668])).
% 34.94/23.54 tff(26679,plain,
% 34.94/23.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26680,plain,
% 34.94/23.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 34.94/23.54 inference(quant_inst,[status(thm)],[])).
% 34.94/23.54 tff(26681,plain,
% 34.94/23.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171))),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26680, 26679])).
% 34.94/23.54 tff(26682,plain,
% 34.94/23.54 (v101(constB171) | (~v100(constB171))),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26681, 398, 26671])).
% 34.94/23.54 tff(26683,plain,
% 34.94/23.54 (~v100(constB171)),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26682, 26678])).
% 34.94/23.54 tff(26684,plain,
% 34.94/23.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26685,plain,
% 34.94/23.54 (((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1))) <=> (v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 34.94/23.54 inference(rewrite,[status(thm)],[])).
% 34.94/23.54 tff(26686,plain,
% 34.94/23.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1))))),
% 34.94/23.54 inference(monotonicity,[status(thm)],[26685])).
% 34.94/23.54 tff(26687,plain,
% 34.94/23.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 34.94/23.54 inference(transitivity,[status(thm)],[26686, 26684])).
% 34.94/23.54 tff(26688,plain,
% 34.94/23.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 34.94/23.54 inference(quant_inst,[status(thm)],[])).
% 34.94/23.54 tff(26689,plain,
% 34.94/23.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1))),
% 34.94/23.54 inference(modus_ponens,[status(thm)],[26688, 26687])).
% 34.94/23.54 tff(26690,plain,
% 34.94/23.54 (v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1))),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26689, 434, 26671])).
% 34.94/23.54 tff(26691,plain,
% 34.94/23.54 (v90(constB170, bitIndex1) | (~v90(constB171, bitIndex1))),
% 34.94/23.54 inference(unit_resolution,[status(thm)],[26690, 26683])).
% 34.94/23.54 tff(26692,plain,
% 34.94/23.54 (~v90(constB171, bitIndex1)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26691, 26665])).
% 34.94/23.55 tff(26693,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26694,plain,
% 34.94/23.55 ((v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2))) <=> (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26695,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2))))),
% 34.94/23.55 inference(monotonicity,[status(thm)],[26694])).
% 34.94/23.55 tff(26696,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2)))),
% 34.94/23.55 inference(transitivity,[status(thm)],[26695, 26693])).
% 34.94/23.55 tff(26697,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26698,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2))),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26697, 26696])).
% 34.94/23.55 tff(26699,plain,
% 34.94/23.55 (~v130(constB169, bitIndex2)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26698, 2244, 26629, 26603, 26599, 26238, 26234, 26230])).
% 34.94/23.55 tff(26700,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26701,plain,
% 34.94/23.55 ((v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2))) <=> ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26702,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)))),
% 34.94/23.55 inference(monotonicity,[status(thm)],[26701])).
% 34.94/23.55 tff(26703,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 34.94/23.55 inference(transitivity,[status(thm)],[26702, 26700])).
% 34.94/23.55 tff(26704,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26705,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26704, 26703])).
% 34.94/23.55 tff(26706,plain,
% 34.94/23.55 ((~v127(constB169, bitIndex2)) | v130(constB169, bitIndex2)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26705, 689, 26438])).
% 34.94/23.55 tff(26707,plain,
% 34.94/23.55 (~v127(constB169, bitIndex2)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26706, 26699])).
% 34.94/23.55 tff(26708,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26709,plain,
% 34.94/23.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26710,plain,
% 34.94/23.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26709, 26708])).
% 34.94/23.55 tff(26711,plain,
% 34.94/23.55 (v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26710, 707, 26446])).
% 34.94/23.55 tff(26712,plain,
% 34.94/23.55 (~v129(constB170, bitIndex2)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26711, 26707])).
% 34.94/23.55 tff(26713,plain,
% 34.94/23.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26714,plain,
% 34.94/23.55 (((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2)) <=> ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26715,plain,
% 34.94/23.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170))))),
% 34.94/23.55 inference(monotonicity,[status(thm)],[26714])).
% 34.94/23.55 tff(26716,plain,
% 34.94/23.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 34.94/23.55 inference(transitivity,[status(thm)],[26715, 26713])).
% 34.94/23.55 tff(26717,plain,
% 34.94/23.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26718,plain,
% 34.94/23.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170))),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26717, 26716])).
% 34.94/23.55 tff(26719,plain,
% 34.94/23.55 ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26718, 722, 26657])).
% 34.94/23.55 tff(26720,plain,
% 34.94/23.55 (~v90(constB170, bitIndex2)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26719, 26712])).
% 34.94/23.55 tff(26721,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26722,plain,
% 34.94/23.55 (((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))) <=> (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26723,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2))))),
% 34.94/23.55 inference(monotonicity,[status(thm)],[26722])).
% 34.94/23.55 tff(26724,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 34.94/23.55 inference(transitivity,[status(thm)],[26723, 26721])).
% 34.94/23.55 tff(26725,plain,
% 34.94/23.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26726,plain,
% 34.94/23.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26725, 26724])).
% 34.94/23.55 tff(26727,plain,
% 34.94/23.55 (v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26726, 413, 26671])).
% 34.94/23.55 tff(26728,plain,
% 34.94/23.55 (v90(constB170, bitIndex2) | (~v90(constB171, bitIndex2))),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26727, 26683])).
% 34.94/23.55 tff(26729,plain,
% 34.94/23.55 (~v90(constB171, bitIndex2)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26728, 26720])).
% 34.94/23.55 tff(26730,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26731,plain,
% 34.94/23.55 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)) <=> ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26732,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0)))),
% 34.94/23.55 inference(monotonicity,[status(thm)],[26731])).
% 34.94/23.55 tff(26733,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 34.94/23.55 inference(transitivity,[status(thm)],[26732, 26730])).
% 34.94/23.55 tff(26734,plain,
% 34.94/23.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26735,plain,
% 34.94/23.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0)),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26734, 26733])).
% 34.94/23.55 tff(26736,plain,
% 34.94/23.55 ((~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26735, 903, 26671])).
% 34.94/23.55 tff(26737,plain,
% 34.94/23.55 ((~v90(constB170, bitIndex0)) | v90(constB171, bitIndex0)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26736, 26683])).
% 34.94/23.55 tff(26738,plain,
% 34.94/23.55 (v90(constB171, bitIndex0)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26737, 26559])).
% 34.94/23.55 tff(26739,plain,
% 34.94/23.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26740,plain,
% 34.94/23.55 (((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2)) <=> ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26741,plain,
% 34.94/23.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171)))),
% 34.94/23.55 inference(monotonicity,[status(thm)],[26740])).
% 34.94/23.55 tff(26742,plain,
% 34.94/23.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))),
% 34.94/23.55 inference(transitivity,[status(thm)],[26741, 26739])).
% 34.94/23.55 tff(26743,plain,
% 34.94/23.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26744,plain,
% 34.94/23.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171)),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26743, 26742])).
% 34.94/23.55 tff(26745,plain,
% 34.94/23.55 (v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26744, 922, 26738])).
% 34.94/23.55 tff(26746,plain,
% 34.94/23.55 (v120(constB171)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26745, 26729, 26692])).
% 34.94/23.55 tff(26747,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB171) | (~v120(constB171)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB171) | (~v120(constB171)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26748,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB171) | (~v120(constB171)))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26749,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB171) | (~v120(constB171))),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26748, 26747])).
% 34.94/23.55 tff(26750,plain,
% 34.94/23.55 (v118(constB171)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26749, 936, 26746])).
% 34.94/23.55 tff(26751,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB171) | (~v118(constB171)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB171) | (~v118(constB171)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26752,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB171) | (~v118(constB171)))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26753,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB171) | (~v118(constB171))),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26752, 26751])).
% 34.94/23.55 tff(26754,plain,
% 34.94/23.55 (v117(constB171)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26753, 498, 26750])).
% 34.94/23.55 tff(26755,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB171) | (~v117(constB171)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB171) | (~v117(constB171)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26756,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB171) | (~v117(constB171)))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26757,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB171) | (~v117(constB171))),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26756, 26755])).
% 34.94/23.55 tff(26758,plain,
% 34.94/23.55 (v116(constB171)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26757, 509, 26754])).
% 34.94/23.55 tff(26759,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB171) | (~v116(constB171)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26760,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB171) | (~v116(constB171)))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26761,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB171) | (~v116(constB171))),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26760, 26759])).
% 34.94/23.55 tff(26762,plain,
% 34.94/23.55 (v115(constB171)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26761, 520, 26758])).
% 34.94/23.55 tff(26763,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB171) | (~v115(constB171)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB171) | (~v115(constB171)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26764,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB171) | (~v115(constB171)))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26765,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB171) | (~v115(constB171))),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26764, 26763])).
% 34.94/23.55 tff(26766,plain,
% 34.94/23.55 (v114(constB171)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26765, 531, 26762])).
% 34.94/23.55 tff(26767,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB171) | (~v114(constB171)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB171) | (~v114(constB171)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26768,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB171) | (~v114(constB171)))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26769,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB171) | (~v114(constB171))),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26768, 26767])).
% 34.94/23.55 tff(26770,plain,
% 34.94/23.55 (v113(constB171)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26769, 542, 26766])).
% 34.94/23.55 tff(26771,assumption,(v26(constB171)), introduced(assumption)).
% 34.94/23.55 tff(26772,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB171))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26773,plain,
% 34.94/23.55 ($false),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26772, 120, 26771])).
% 34.94/23.55 tff(26774,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 34.94/23.55 tff(26775,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | v112(constB171) | (~v113(constB171)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26776,plain,
% 34.94/23.55 ((v26(constB171) | (~v113(constB171)) | v112(constB171)) <=> (v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26777,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | v112(constB171) | (~v113(constB171))))),
% 34.94/23.55 inference(monotonicity,[status(thm)],[26776])).
% 34.94/23.55 tff(26778,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 34.94/23.55 inference(transitivity,[status(thm)],[26777, 26775])).
% 34.94/23.55 tff(26779,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26780,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171))),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26779, 26778])).
% 34.94/23.55 tff(26781,plain,
% 34.94/23.55 (v112(constB171) | (~v113(constB171))),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26780, 556, 26774])).
% 34.94/23.55 tff(26782,plain,
% 34.94/23.55 (v112(constB171)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26781, 26770])).
% 34.94/23.55 tff(26783,plain,
% 34.94/23.55 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB171) | (~v112(constB171)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB171) | (~v112(constB171)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26784,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB171) | (~v112(constB171)))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26785,plain,
% 34.94/23.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB171) | (~v112(constB171))),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26784, 26783])).
% 34.94/23.55 tff(26786,plain,
% 34.94/23.55 (v108(constB171)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26785, 568, 26782])).
% 34.94/23.55 tff(26787,plain,
% 34.94/23.55 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26788,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 34.94/23.55 tff(26789,plain,
% 34.94/23.55 (nextState(constB171, constB172)),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26788, 26787])).
% 34.94/23.55 tff(26790,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26791,plain,
% 34.94/23.55 (((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172)) <=> ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26792,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))))),
% 34.94/23.55 inference(monotonicity,[status(thm)],[26791])).
% 34.94/23.55 tff(26793,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 34.94/23.55 inference(transitivity,[status(thm)],[26792, 26790])).
% 34.94/23.55 tff(26794,plain,
% 34.94/23.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26795,plain,
% 34.94/23.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26794, 26793])).
% 34.94/23.55 tff(26796,plain,
% 34.94/23.55 (v110(constB172) | (~v108(constB171))),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26795, 585, 26789])).
% 34.94/23.55 tff(26797,plain,
% 34.94/23.55 (v110(constB172)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26796, 26786])).
% 34.94/23.55 tff(26798,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26799,plain,
% 34.94/23.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26800,plain,
% 34.94/23.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172))),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26799, 26798])).
% 34.94/23.55 tff(26801,plain,
% 34.94/23.55 (~v104(constB172)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26800, 603, 26789, 26668])).
% 34.94/23.55 tff(26802,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26803,plain,
% 34.94/23.55 (((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172)) <=> ((~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26804,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | v102(constB172)))),
% 34.94/23.55 inference(monotonicity,[status(thm)],[26803])).
% 34.94/23.55 tff(26805,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))),
% 34.94/23.55 inference(transitivity,[status(thm)],[26804, 26802])).
% 34.94/23.55 tff(26806,plain,
% 34.94/23.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26807,plain,
% 34.94/23.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | v102(constB172)),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26806, 26805])).
% 34.94/23.55 tff(26808,plain,
% 34.94/23.55 (v104(constB172) | v102(constB172)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26807, 617, 26789])).
% 34.94/23.55 tff(26809,plain,
% 34.94/23.55 (v102(constB172)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26808, 26801])).
% 34.94/23.55 tff(26810,plain,
% 34.94/23.55 (v1(constB172) <=> v1(constB172)),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26811,axiom,(v1(constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 34.94/23.55 tff(26812,plain,
% 34.94/23.55 (v1(constB172)),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26811, 26810])).
% 34.94/23.55 tff(26813,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26814,plain,
% 34.94/23.55 (((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172))) <=> ((~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26815,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172))))),
% 34.94/23.55 inference(monotonicity,[status(thm)],[26814])).
% 34.94/23.55 tff(26816,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))),
% 34.94/23.55 inference(transitivity,[status(thm)],[26815, 26813])).
% 34.94/23.55 tff(26817,plain,
% 34.94/23.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 34.94/23.55 inference(quant_inst,[status(thm)],[])).
% 34.94/23.55 tff(26818,plain,
% 34.94/23.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172))),
% 34.94/23.55 inference(modus_ponens,[status(thm)],[26817, 26816])).
% 34.94/23.55 tff(26819,plain,
% 34.94/23.55 (v101(constB172) | (~v102(constB172))),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26818, 638, 26789, 26812])).
% 34.94/23.55 tff(26820,plain,
% 34.94/23.55 (v101(constB172)),
% 34.94/23.55 inference(unit_resolution,[status(thm)],[26819, 26809])).
% 34.94/23.55 tff(26821,plain,
% 34.94/23.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 34.94/23.55 inference(rewrite,[status(thm)],[])).
% 34.94/23.55 tff(26822,plain,
% 34.94/23.55 (((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172)) <=> ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26823,plain,
% 34.94/23.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))))),
% 34.94/23.56 inference(monotonicity,[status(thm)],[26822])).
% 34.94/23.56 tff(26824,plain,
% 34.94/23.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 34.94/23.56 inference(transitivity,[status(thm)],[26823, 26821])).
% 34.94/23.56 tff(26825,plain,
% 34.94/23.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))),
% 34.94/23.56 inference(quant_inst,[status(thm)],[])).
% 34.94/23.56 tff(26826,plain,
% 34.94/23.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26825, 26824])).
% 34.94/23.56 tff(26827,plain,
% 34.94/23.56 (v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26826, 656, 26789])).
% 34.94/23.56 tff(26828,plain,
% 34.94/23.56 (v100(constB172) | (~v110(constB172))),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26827, 26820])).
% 34.94/23.56 tff(26829,plain,
% 34.94/23.56 (v100(constB172)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26828, 26797])).
% 34.94/23.56 tff(26830,plain,
% 34.94/23.56 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB171)) | (~v130(constB171, bitIndex2)))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26831,plain,
% 34.94/23.56 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex2)))),
% 34.94/23.56 inference(quant_inst,[status(thm)],[])).
% 34.94/23.56 tff(26832,plain,
% 34.94/23.56 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB171)) | (~v130(constB171, bitIndex2))),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26831, 26830])).
% 34.94/23.56 tff(26833,plain,
% 34.94/23.56 (~v130(constB171, bitIndex2)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26832, 1025, 26746])).
% 34.94/23.56 tff(26834,plain,
% 34.94/23.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26835,plain,
% 34.94/23.56 ((v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2))) <=> ((~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26836,plain,
% 34.94/23.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2)))),
% 34.94/23.56 inference(monotonicity,[status(thm)],[26835])).
% 34.94/23.56 tff(26837,plain,
% 34.94/23.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))),
% 34.94/23.56 inference(transitivity,[status(thm)],[26836, 26834])).
% 34.94/23.56 tff(26838,plain,
% 34.94/23.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2)))),
% 34.94/23.56 inference(quant_inst,[status(thm)],[])).
% 34.94/23.56 tff(26839,plain,
% 34.94/23.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2)),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26838, 26837])).
% 34.94/23.56 tff(26840,plain,
% 34.94/23.56 ((~v127(constB171, bitIndex2)) | v130(constB171, bitIndex2)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26839, 689, 26774])).
% 34.94/23.56 tff(26841,plain,
% 34.94/23.56 (~v127(constB171, bitIndex2)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26840, 26833])).
% 34.94/23.56 tff(26842,plain,
% 34.94/23.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2)))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26843,plain,
% 34.94/23.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2)))),
% 34.94/23.56 inference(quant_inst,[status(thm)],[])).
% 34.94/23.56 tff(26844,plain,
% 34.94/23.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2))),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26843, 26842])).
% 34.94/23.56 tff(26845,plain,
% 34.94/23.56 (v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2))),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26844, 707, 26789])).
% 34.94/23.56 tff(26846,plain,
% 34.94/23.56 (~v129(constB172, bitIndex2)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26845, 26841])).
% 34.94/23.56 tff(26847,plain,
% 34.94/23.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26848,plain,
% 34.94/23.56 (((~v90(constB172, bitIndex2)) | (~v100(constB172)) | v129(constB172, bitIndex2)) <=> ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26849,plain,
% 34.94/23.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~v100(constB172)) | v129(constB172, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172))))),
% 34.94/23.56 inference(monotonicity,[status(thm)],[26848])).
% 34.94/23.56 tff(26850,plain,
% 34.94/23.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~v100(constB172)) | v129(constB172, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))),
% 34.94/23.56 inference(transitivity,[status(thm)],[26849, 26847])).
% 34.94/23.56 tff(26851,plain,
% 34.94/23.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~v100(constB172)) | v129(constB172, bitIndex2))),
% 34.94/23.56 inference(quant_inst,[status(thm)],[])).
% 34.94/23.56 tff(26852,plain,
% 34.94/23.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172))),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26851, 26850])).
% 34.94/23.56 tff(26853,plain,
% 34.94/23.56 ((~v90(constB172, bitIndex2)) | (~v100(constB172))),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26852, 722, 26846])).
% 34.94/23.56 tff(26854,plain,
% 34.94/23.56 (~v90(constB172, bitIndex2)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26853, 26829])).
% 34.94/23.56 tff(26855,plain,
% 34.94/23.56 ((~v1(constB173)) <=> (~v1(constB173))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26856,axiom,(~v1(constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 34.94/23.56 tff(26857,plain,
% 34.94/23.56 (~v1(constB173)),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26856, 26855])).
% 34.94/23.56 tff(26858,plain,
% 34.94/23.56 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26859,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 34.94/23.56 tff(26860,plain,
% 34.94/23.56 (nextState(constB172, constB173)),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26859, 26858])).
% 34.94/23.56 tff(26861,plain,
% 34.94/23.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26862,plain,
% 34.94/23.56 (((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26863,plain,
% 34.94/23.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))))),
% 34.94/23.56 inference(monotonicity,[status(thm)],[26862])).
% 34.94/23.56 tff(26864,plain,
% 34.94/23.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 34.94/23.56 inference(transitivity,[status(thm)],[26863, 26861])).
% 34.94/23.56 tff(26865,plain,
% 34.94/23.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))),
% 34.94/23.56 inference(quant_inst,[status(thm)],[])).
% 34.94/23.56 tff(26866,plain,
% 34.94/23.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26865, 26864])).
% 34.94/23.56 tff(26867,plain,
% 34.94/23.56 (~v101(constB173)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26866, 381, 26860, 26857])).
% 34.94/23.56 tff(26868,plain,
% 34.94/23.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26869,plain,
% 34.94/23.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 34.94/23.56 inference(quant_inst,[status(thm)],[])).
% 34.94/23.56 tff(26870,plain,
% 34.94/23.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173))),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26869, 26868])).
% 34.94/23.56 tff(26871,plain,
% 34.94/23.56 (v101(constB173) | (~v100(constB173))),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26870, 398, 26860])).
% 34.94/23.56 tff(26872,plain,
% 34.94/23.56 (~v100(constB173)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26871, 26867])).
% 34.94/23.56 tff(26873,plain,
% 34.94/23.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26874,plain,
% 34.94/23.56 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2))) <=> (v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26875,plain,
% 34.94/23.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2))))),
% 34.94/23.56 inference(monotonicity,[status(thm)],[26874])).
% 34.94/23.56 tff(26876,plain,
% 34.94/23.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 34.94/23.56 inference(transitivity,[status(thm)],[26875, 26873])).
% 34.94/23.56 tff(26877,plain,
% 34.94/23.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 34.94/23.56 inference(quant_inst,[status(thm)],[])).
% 34.94/23.56 tff(26878,plain,
% 34.94/23.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2))),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26877, 26876])).
% 34.94/23.56 tff(26879,plain,
% 34.94/23.56 (v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2))),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26878, 413, 26860])).
% 34.94/23.56 tff(26880,plain,
% 34.94/23.56 (v90(constB172, bitIndex2) | (~v90(constB173, bitIndex2))),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26879, 26872])).
% 34.94/23.56 tff(26881,plain,
% 34.94/23.56 (~v90(constB173, bitIndex2)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26880, 26854])).
% 34.94/23.56 tff(26882,plain,
% 34.94/23.56 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB171)) | v130(constB171, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB171)) | v130(constB171, bitIndex1))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26883,plain,
% 34.94/23.56 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB171)) | v130(constB171, bitIndex1))),
% 34.94/23.56 inference(quant_inst,[status(thm)],[])).
% 34.94/23.56 tff(26884,plain,
% 34.94/23.56 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB171)) | v130(constB171, bitIndex1)),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26883, 26882])).
% 34.94/23.56 tff(26885,plain,
% 34.94/23.56 (v130(constB171, bitIndex1)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26884, 1087, 26746])).
% 34.94/23.56 tff(26886,plain,
% 34.94/23.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26887,plain,
% 34.94/23.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1))),
% 34.94/23.56 inference(quant_inst,[status(thm)],[])).
% 34.94/23.56 tff(26888,plain,
% 34.94/23.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1)),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26887, 26886])).
% 34.94/23.56 tff(26889,plain,
% 34.94/23.56 ((~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26888, 1101, 26774])).
% 34.94/23.56 tff(26890,plain,
% 34.94/23.56 (v127(constB171, bitIndex1)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26889, 26885])).
% 34.94/23.56 tff(26891,plain,
% 34.94/23.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26892,plain,
% 34.94/23.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1))),
% 34.94/23.56 inference(quant_inst,[status(thm)],[])).
% 34.94/23.56 tff(26893,plain,
% 34.94/23.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1)),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26892, 26891])).
% 34.94/23.56 tff(26894,plain,
% 34.94/23.56 ((~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26893, 1116, 26789])).
% 34.94/23.56 tff(26895,plain,
% 34.94/23.56 (v129(constB172, bitIndex1)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26894, 26890])).
% 34.94/23.56 tff(26896,plain,
% 34.94/23.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26897,plain,
% 34.94/23.56 ((v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1))) <=> (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26898,plain,
% 34.94/23.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172))))),
% 34.94/23.56 inference(monotonicity,[status(thm)],[26897])).
% 34.94/23.56 tff(26899,plain,
% 34.94/23.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))),
% 34.94/23.56 inference(transitivity,[status(thm)],[26898, 26896])).
% 34.94/23.56 tff(26900,plain,
% 34.94/23.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1)))),
% 34.94/23.56 inference(quant_inst,[status(thm)],[])).
% 34.94/23.56 tff(26901,plain,
% 34.94/23.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172))),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26900, 26899])).
% 34.94/23.56 tff(26902,plain,
% 34.94/23.56 (v90(constB172, bitIndex1) | (~v100(constB172))),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26901, 1131, 26895])).
% 34.94/23.56 tff(26903,plain,
% 34.94/23.56 (v90(constB172, bitIndex1)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26902, 26829])).
% 34.94/23.56 tff(26904,plain,
% 34.94/23.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26905,plain,
% 34.94/23.56 (((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1)) <=> ((~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26906,plain,
% 34.94/23.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1)))),
% 34.94/23.56 inference(monotonicity,[status(thm)],[26905])).
% 34.94/23.56 tff(26907,plain,
% 34.94/23.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))),
% 34.94/23.56 inference(transitivity,[status(thm)],[26906, 26904])).
% 34.94/23.56 tff(26908,plain,
% 34.94/23.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1))),
% 34.94/23.56 inference(quant_inst,[status(thm)],[])).
% 34.94/23.56 tff(26909,plain,
% 34.94/23.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1)),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26908, 26907])).
% 34.94/23.56 tff(26910,plain,
% 34.94/23.56 ((~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26909, 1149, 26860])).
% 34.94/23.56 tff(26911,plain,
% 34.94/23.56 ((~v90(constB172, bitIndex1)) | v90(constB173, bitIndex1)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26910, 26872])).
% 34.94/23.56 tff(26912,plain,
% 34.94/23.56 (v90(constB173, bitIndex1)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26911, 26903])).
% 34.94/23.56 tff(26913,plain,
% 34.94/23.56 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB171)) | (~v130(constB171, bitIndex0)))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26914,plain,
% 34.94/23.56 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex0)))),
% 34.94/23.56 inference(quant_inst,[status(thm)],[])).
% 34.94/23.56 tff(26915,plain,
% 34.94/23.56 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB171)) | (~v130(constB171, bitIndex0))),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26914, 26913])).
% 34.94/23.56 tff(26916,plain,
% 34.94/23.56 (~v130(constB171, bitIndex0)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26915, 1168, 26746])).
% 34.94/23.56 tff(26917,plain,
% 34.94/23.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26918,plain,
% 34.94/23.56 ((v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0))) <=> ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26919,plain,
% 34.94/23.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)))),
% 34.94/23.56 inference(monotonicity,[status(thm)],[26918])).
% 34.94/23.56 tff(26920,plain,
% 34.94/23.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 34.94/23.56 inference(transitivity,[status(thm)],[26919, 26917])).
% 34.94/23.56 tff(26921,plain,
% 34.94/23.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))),
% 34.94/23.56 inference(quant_inst,[status(thm)],[])).
% 34.94/23.56 tff(26922,plain,
% 34.94/23.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)),
% 34.94/23.56 inference(modus_ponens,[status(thm)],[26921, 26920])).
% 34.94/23.56 tff(26923,plain,
% 34.94/23.56 ((~v127(constB171, bitIndex0)) | v130(constB171, bitIndex0)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26922, 1182, 26774])).
% 34.94/23.56 tff(26924,plain,
% 34.94/23.56 (~v127(constB171, bitIndex0)),
% 34.94/23.56 inference(unit_resolution,[status(thm)],[26923, 26916])).
% 34.94/23.56 tff(26925,plain,
% 34.94/23.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 34.94/23.56 inference(rewrite,[status(thm)],[])).
% 34.94/23.56 tff(26926,plain,
% 34.94/23.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(26927,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[26926, 26925])).
% 34.94/23.57 tff(26928,plain,
% 34.94/23.57 (v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26927, 1200, 26789])).
% 34.94/23.57 tff(26929,plain,
% 34.94/23.57 (~v129(constB172, bitIndex0)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26928, 26924])).
% 34.94/23.57 tff(26930,plain,
% 34.94/23.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26931,plain,
% 34.94/23.57 (((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0)) <=> ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26932,plain,
% 34.94/23.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))))),
% 34.94/23.57 inference(monotonicity,[status(thm)],[26931])).
% 34.94/23.57 tff(26933,plain,
% 34.94/23.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 34.94/23.57 inference(transitivity,[status(thm)],[26932, 26930])).
% 34.94/23.57 tff(26934,plain,
% 34.94/23.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(26935,plain,
% 34.94/23.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[26934, 26933])).
% 34.94/23.57 tff(26936,plain,
% 34.94/23.57 ((~v90(constB172, bitIndex0)) | (~v100(constB172))),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26935, 1215, 26929])).
% 34.94/23.57 tff(26937,plain,
% 34.94/23.57 (~v90(constB172, bitIndex0)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26936, 26829])).
% 34.94/23.57 tff(26938,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26939,plain,
% 34.94/23.57 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))) <=> (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26940,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0))))),
% 34.94/23.57 inference(monotonicity,[status(thm)],[26939])).
% 34.94/23.57 tff(26941,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 34.94/23.57 inference(transitivity,[status(thm)],[26940, 26938])).
% 34.94/23.57 tff(26942,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(26943,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[26942, 26941])).
% 34.94/23.57 tff(26944,plain,
% 34.94/23.57 (v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26943, 455, 26860])).
% 34.94/23.57 tff(26945,plain,
% 34.94/23.57 (v90(constB172, bitIndex0) | (~v90(constB173, bitIndex0))),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26944, 26872])).
% 34.94/23.57 tff(26946,plain,
% 34.94/23.57 (~v90(constB173, bitIndex0)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26945, 26937])).
% 34.94/23.57 tff(26947,plain,
% 34.94/23.57 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26948,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(26949,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173)),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[26948, 26947])).
% 34.94/23.57 tff(26950,plain,
% 34.94/23.57 (v121(constB173)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26949, 1242, 26946, 26912, 26881])).
% 34.94/23.57 tff(26951,plain,
% 34.94/23.57 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB173) | (~v121(constB173)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB173) | (~v121(constB173)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26952,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB173) | (~v121(constB173)))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(26953,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB173) | (~v121(constB173))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[26952, 26951])).
% 34.94/23.57 tff(26954,plain,
% 34.94/23.57 (v117(constB173)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26953, 1253, 26950])).
% 34.94/23.57 tff(26955,plain,
% 34.94/23.57 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB173) | (~v117(constB173)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB173) | (~v117(constB173)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26956,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB173) | (~v117(constB173)))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(26957,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB173) | (~v117(constB173))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[26956, 26955])).
% 34.94/23.57 tff(26958,plain,
% 34.94/23.57 (v116(constB173)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26957, 509, 26954])).
% 34.94/23.57 tff(26959,plain,
% 34.94/23.57 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB173) | (~v116(constB173)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB173) | (~v116(constB173)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26960,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB173) | (~v116(constB173)))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(26961,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB173) | (~v116(constB173))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[26960, 26959])).
% 34.94/23.57 tff(26962,plain,
% 34.94/23.57 (v115(constB173)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26961, 520, 26958])).
% 34.94/23.57 tff(26963,plain,
% 34.94/23.57 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB173) | (~v115(constB173)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB173) | (~v115(constB173)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26964,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB173) | (~v115(constB173)))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(26965,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB173) | (~v115(constB173))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[26964, 26963])).
% 34.94/23.57 tff(26966,plain,
% 34.94/23.57 (v114(constB173)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26965, 531, 26962])).
% 34.94/23.57 tff(26967,plain,
% 34.94/23.57 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB173) | (~v114(constB173)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB173) | (~v114(constB173)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26968,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB173) | (~v114(constB173)))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(26969,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB173) | (~v114(constB173))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[26968, 26967])).
% 34.94/23.57 tff(26970,plain,
% 34.94/23.57 (v113(constB173)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26969, 542, 26966])).
% 34.94/23.57 tff(26971,assumption,(v26(constB173)), introduced(assumption)).
% 34.94/23.57 tff(26972,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB173))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(26973,plain,
% 34.94/23.57 ($false),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26972, 120, 26971])).
% 34.94/23.57 tff(26974,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 34.94/23.57 tff(26975,plain,
% 34.94/23.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26976,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(26977,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173)),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[26976, 26975])).
% 34.94/23.57 tff(26978,plain,
% 34.94/23.57 ((~v113(constB173)) | v112(constB173)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26977, 556, 26974])).
% 34.94/23.57 tff(26979,plain,
% 34.94/23.57 (v112(constB173)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26978, 26970])).
% 34.94/23.57 tff(26980,plain,
% 34.94/23.57 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB173) | (~v112(constB173)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB173) | (~v112(constB173)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26981,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB173) | (~v112(constB173)))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(26982,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB173) | (~v112(constB173))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[26981, 26980])).
% 34.94/23.57 tff(26983,plain,
% 34.94/23.57 (v108(constB173)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26982, 568, 26979])).
% 34.94/23.57 tff(26984,plain,
% 34.94/23.57 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26985,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 34.94/23.57 tff(26986,plain,
% 34.94/23.57 (nextState(constB173, constB174)),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[26985, 26984])).
% 34.94/23.57 tff(26987,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26988,plain,
% 34.94/23.57 (((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174)) <=> ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26989,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))))),
% 34.94/23.57 inference(monotonicity,[status(thm)],[26988])).
% 34.94/23.57 tff(26990,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 34.94/23.57 inference(transitivity,[status(thm)],[26989, 26987])).
% 34.94/23.57 tff(26991,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(26992,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[26991, 26990])).
% 34.94/23.57 tff(26993,plain,
% 34.94/23.57 (v110(constB174) | (~v108(constB173))),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26992, 585, 26986])).
% 34.94/23.57 tff(26994,plain,
% 34.94/23.57 (v110(constB174)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26993, 26983])).
% 34.94/23.57 tff(26995,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(26996,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(26997,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[26996, 26995])).
% 34.94/23.57 tff(26998,plain,
% 34.94/23.57 (~v104(constB174)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[26997, 603, 26986, 26857])).
% 34.94/23.57 tff(26999,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27000,plain,
% 34.94/23.57 (((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174)) <=> ((~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27001,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | v102(constB174)))),
% 34.94/23.57 inference(monotonicity,[status(thm)],[27000])).
% 34.94/23.57 tff(27002,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))),
% 34.94/23.57 inference(transitivity,[status(thm)],[27001, 26999])).
% 34.94/23.57 tff(27003,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(27004,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | v102(constB174)),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[27003, 27002])).
% 34.94/23.57 tff(27005,plain,
% 34.94/23.57 (v104(constB174) | v102(constB174)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27004, 617, 26986])).
% 34.94/23.57 tff(27006,plain,
% 34.94/23.57 (v102(constB174)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27005, 26998])).
% 34.94/23.57 tff(27007,plain,
% 34.94/23.57 (v1(constB174) <=> v1(constB174)),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27008,axiom,(v1(constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 34.94/23.57 tff(27009,plain,
% 34.94/23.57 (v1(constB174)),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[27008, 27007])).
% 34.94/23.57 tff(27010,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27011,plain,
% 34.94/23.57 (((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174))) <=> ((~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27012,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174))))),
% 34.94/23.57 inference(monotonicity,[status(thm)],[27011])).
% 34.94/23.57 tff(27013,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))),
% 34.94/23.57 inference(transitivity,[status(thm)],[27012, 27010])).
% 34.94/23.57 tff(27014,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(27015,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[27014, 27013])).
% 34.94/23.57 tff(27016,plain,
% 34.94/23.57 (v101(constB174) | (~v102(constB174))),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27015, 638, 26986, 27009])).
% 34.94/23.57 tff(27017,plain,
% 34.94/23.57 (v101(constB174)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27016, 27006])).
% 34.94/23.57 tff(27018,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27019,plain,
% 34.94/23.57 (((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174)) <=> ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27020,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))))),
% 34.94/23.57 inference(monotonicity,[status(thm)],[27019])).
% 34.94/23.57 tff(27021,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 34.94/23.57 inference(transitivity,[status(thm)],[27020, 27018])).
% 34.94/23.57 tff(27022,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(27023,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[27022, 27021])).
% 34.94/23.57 tff(27024,plain,
% 34.94/23.57 (v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27023, 656, 26986])).
% 34.94/23.57 tff(27025,plain,
% 34.94/23.57 (v100(constB174) | (~v110(constB174))),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27024, 27017])).
% 34.94/23.57 tff(27026,plain,
% 34.94/23.57 (v100(constB174)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27025, 26994])).
% 34.94/23.57 tff(27027,plain,
% 34.94/23.57 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB173)) | (~v130(constB173, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB173)) | (~v130(constB173, bitIndex2)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27028,plain,
% 34.94/23.57 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB173)) | (~v130(constB173, bitIndex2)))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(27029,plain,
% 34.94/23.57 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB173)) | (~v130(constB173, bitIndex2))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[27028, 27027])).
% 34.94/23.57 tff(27030,plain,
% 34.94/23.57 (~v130(constB173, bitIndex2)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27029, 1342, 26950])).
% 34.94/23.57 tff(27031,plain,
% 34.94/23.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27032,plain,
% 34.94/23.57 ((v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2))) <=> ((~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27033,plain,
% 34.94/23.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2)))),
% 34.94/23.57 inference(monotonicity,[status(thm)],[27032])).
% 34.94/23.57 tff(27034,plain,
% 34.94/23.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))),
% 34.94/23.57 inference(transitivity,[status(thm)],[27033, 27031])).
% 34.94/23.57 tff(27035,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2)))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(27036,plain,
% 34.94/23.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2)),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[27035, 27034])).
% 34.94/23.57 tff(27037,plain,
% 34.94/23.57 ((~v127(constB173, bitIndex2)) | v130(constB173, bitIndex2)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27036, 689, 26974])).
% 34.94/23.57 tff(27038,plain,
% 34.94/23.57 (~v127(constB173, bitIndex2)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27037, 27030])).
% 34.94/23.57 tff(27039,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27040,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2)))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(27041,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[27040, 27039])).
% 34.94/23.57 tff(27042,plain,
% 34.94/23.57 (v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2))),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27041, 707, 26986])).
% 34.94/23.57 tff(27043,plain,
% 34.94/23.57 (~v129(constB174, bitIndex2)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27042, 27038])).
% 34.94/23.57 tff(27044,plain,
% 34.94/23.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27045,plain,
% 34.94/23.57 (((~v90(constB174, bitIndex2)) | (~v100(constB174)) | v129(constB174, bitIndex2)) <=> ((~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27046,plain,
% 34.94/23.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~v100(constB174)) | v129(constB174, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174))))),
% 34.94/23.57 inference(monotonicity,[status(thm)],[27045])).
% 34.94/23.57 tff(27047,plain,
% 34.94/23.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~v100(constB174)) | v129(constB174, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))),
% 34.94/23.57 inference(transitivity,[status(thm)],[27046, 27044])).
% 34.94/23.57 tff(27048,plain,
% 34.94/23.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~v100(constB174)) | v129(constB174, bitIndex2))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(27049,plain,
% 34.94/23.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[27048, 27047])).
% 34.94/23.57 tff(27050,plain,
% 34.94/23.57 ((~v90(constB174, bitIndex2)) | (~v100(constB174))),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27049, 722, 27043])).
% 34.94/23.57 tff(27051,plain,
% 34.94/23.57 (~v90(constB174, bitIndex2)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27050, 27026])).
% 34.94/23.57 tff(27052,plain,
% 34.94/23.57 ((~v1(constB175)) <=> (~v1(constB175))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27053,axiom,(~v1(constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 34.94/23.57 tff(27054,plain,
% 34.94/23.57 (~v1(constB175)),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[27053, 27052])).
% 34.94/23.57 tff(27055,plain,
% 34.94/23.57 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27056,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 34.94/23.57 tff(27057,plain,
% 34.94/23.57 (nextState(constB174, constB175)),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[27056, 27055])).
% 34.94/23.57 tff(27058,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27059,plain,
% 34.94/23.57 (((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27060,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))))),
% 34.94/23.57 inference(monotonicity,[status(thm)],[27059])).
% 34.94/23.57 tff(27061,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 34.94/23.57 inference(transitivity,[status(thm)],[27060, 27058])).
% 34.94/23.57 tff(27062,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(27063,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[27062, 27061])).
% 34.94/23.57 tff(27064,plain,
% 34.94/23.57 (~v101(constB175)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27063, 381, 27057, 27054])).
% 34.94/23.57 tff(27065,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27066,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 34.94/23.57 inference(quant_inst,[status(thm)],[])).
% 34.94/23.57 tff(27067,plain,
% 34.94/23.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175))),
% 34.94/23.57 inference(modus_ponens,[status(thm)],[27066, 27065])).
% 34.94/23.57 tff(27068,plain,
% 34.94/23.57 (v101(constB175) | (~v100(constB175))),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27067, 398, 27057])).
% 34.94/23.57 tff(27069,plain,
% 34.94/23.57 (~v100(constB175)),
% 34.94/23.57 inference(unit_resolution,[status(thm)],[27068, 27064])).
% 34.94/23.57 tff(27070,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27071,plain,
% 34.94/23.57 (((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2))) <=> (v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 34.94/23.57 inference(rewrite,[status(thm)],[])).
% 34.94/23.57 tff(27072,plain,
% 34.94/23.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2))))),
% 34.94/23.58 inference(monotonicity,[status(thm)],[27071])).
% 34.94/23.58 tff(27073,plain,
% 34.94/23.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 34.94/23.58 inference(transitivity,[status(thm)],[27072, 27070])).
% 34.94/23.58 tff(27074,plain,
% 34.94/23.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27075,plain,
% 34.94/23.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2))),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27074, 27073])).
% 34.94/23.58 tff(27076,plain,
% 34.94/23.58 (v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2))),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27075, 413, 27057])).
% 34.94/23.58 tff(27077,plain,
% 34.94/23.58 (v90(constB174, bitIndex2) | (~v90(constB175, bitIndex2))),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27076, 27069])).
% 34.94/23.58 tff(27078,plain,
% 34.94/23.58 (~v90(constB175, bitIndex2)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27077, 27051])).
% 34.94/23.58 tff(27079,plain,
% 34.94/23.58 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB173)) | v130(constB173, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB173)) | v130(constB173, bitIndex1))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27080,plain,
% 34.94/23.58 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB173)) | v130(constB173, bitIndex1))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27081,plain,
% 34.94/23.58 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB173)) | v130(constB173, bitIndex1)),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27080, 27079])).
% 34.94/23.58 tff(27082,plain,
% 34.94/23.58 (v130(constB173, bitIndex1)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27081, 1404, 26950])).
% 34.94/23.58 tff(27083,plain,
% 34.94/23.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27084,plain,
% 34.94/23.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27085,plain,
% 34.94/23.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27084, 27083])).
% 34.94/23.58 tff(27086,plain,
% 34.94/23.58 ((~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27085, 1101, 26974])).
% 34.94/23.58 tff(27087,plain,
% 34.94/23.58 (v127(constB173, bitIndex1)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27086, 27082])).
% 34.94/23.58 tff(27088,plain,
% 34.94/23.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27089,plain,
% 34.94/23.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27090,plain,
% 34.94/23.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27089, 27088])).
% 34.94/23.58 tff(27091,plain,
% 34.94/23.58 ((~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27090, 1116, 26986])).
% 34.94/23.58 tff(27092,plain,
% 34.94/23.58 (v129(constB174, bitIndex1)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27091, 27087])).
% 34.94/23.58 tff(27093,plain,
% 34.94/23.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27094,plain,
% 34.94/23.58 ((v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1))) <=> (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27095,plain,
% 34.94/23.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))))),
% 34.94/23.58 inference(monotonicity,[status(thm)],[27094])).
% 34.94/23.58 tff(27096,plain,
% 34.94/23.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 34.94/23.58 inference(transitivity,[status(thm)],[27095, 27093])).
% 34.94/23.58 tff(27097,plain,
% 34.94/23.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27098,plain,
% 34.94/23.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27097, 27096])).
% 34.94/23.58 tff(27099,plain,
% 34.94/23.58 (v90(constB174, bitIndex1) | (~v100(constB174))),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27098, 1131, 27092])).
% 34.94/23.58 tff(27100,plain,
% 34.94/23.58 (v90(constB174, bitIndex1)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27099, 27026])).
% 34.94/23.58 tff(27101,plain,
% 34.94/23.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27102,plain,
% 34.94/23.58 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)) <=> ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27103,plain,
% 34.94/23.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1)))),
% 34.94/23.58 inference(monotonicity,[status(thm)],[27102])).
% 34.94/23.58 tff(27104,plain,
% 34.94/23.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 34.94/23.58 inference(transitivity,[status(thm)],[27103, 27101])).
% 34.94/23.58 tff(27105,plain,
% 34.94/23.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27106,plain,
% 34.94/23.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1)),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27105, 27104])).
% 34.94/23.58 tff(27107,plain,
% 34.94/23.58 ((~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27106, 1149, 27057])).
% 34.94/23.58 tff(27108,plain,
% 34.94/23.58 ((~v90(constB174, bitIndex1)) | v90(constB175, bitIndex1)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27107, 27069])).
% 34.94/23.58 tff(27109,plain,
% 34.94/23.58 (v90(constB175, bitIndex1)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27108, 27100])).
% 34.94/23.58 tff(27110,plain,
% 34.94/23.58 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB173)) | v130(constB173, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB173)) | v130(constB173, bitIndex0))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27111,plain,
% 34.94/23.58 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB173)) | v130(constB173, bitIndex0))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27112,plain,
% 34.94/23.58 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB173)) | v130(constB173, bitIndex0)),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27111, 27110])).
% 34.94/23.58 tff(27113,plain,
% 34.94/23.58 (v130(constB173, bitIndex0)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27112, 1445, 26950])).
% 34.94/23.58 tff(27114,plain,
% 34.94/23.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27115,plain,
% 34.94/23.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27116,plain,
% 34.94/23.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0)),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27115, 27114])).
% 34.94/23.58 tff(27117,plain,
% 34.94/23.58 ((~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27116, 855, 26974])).
% 34.94/23.58 tff(27118,plain,
% 34.94/23.58 (v127(constB173, bitIndex0)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27117, 27113])).
% 34.94/23.58 tff(27119,plain,
% 34.94/23.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27120,plain,
% 34.94/23.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27121,plain,
% 34.94/23.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0)),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27120, 27119])).
% 34.94/23.58 tff(27122,plain,
% 34.94/23.58 ((~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27121, 870, 26986])).
% 34.94/23.58 tff(27123,plain,
% 34.94/23.58 (v129(constB174, bitIndex0)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27122, 27118])).
% 34.94/23.58 tff(27124,plain,
% 34.94/23.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27125,plain,
% 34.94/23.58 ((v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0))) <=> (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27126,plain,
% 34.94/23.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174))))),
% 34.94/23.58 inference(monotonicity,[status(thm)],[27125])).
% 34.94/23.58 tff(27127,plain,
% 34.94/23.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 34.94/23.58 inference(transitivity,[status(thm)],[27126, 27124])).
% 34.94/23.58 tff(27128,plain,
% 34.94/23.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27129,plain,
% 34.94/23.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174))),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27128, 27127])).
% 34.94/23.58 tff(27130,plain,
% 34.94/23.58 (v90(constB174, bitIndex0) | (~v100(constB174))),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27129, 885, 27123])).
% 34.94/23.58 tff(27131,plain,
% 34.94/23.58 (v90(constB174, bitIndex0)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27130, 27026])).
% 34.94/23.58 tff(27132,plain,
% 34.94/23.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27133,plain,
% 34.94/23.58 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0)) <=> ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27134,plain,
% 34.94/23.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0)))),
% 34.94/23.58 inference(monotonicity,[status(thm)],[27133])).
% 34.94/23.58 tff(27135,plain,
% 34.94/23.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 34.94/23.58 inference(transitivity,[status(thm)],[27134, 27132])).
% 34.94/23.58 tff(27136,plain,
% 34.94/23.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27137,plain,
% 34.94/23.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0)),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27136, 27135])).
% 34.94/23.58 tff(27138,plain,
% 34.94/23.58 ((~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27137, 903, 27057])).
% 34.94/23.58 tff(27139,plain,
% 34.94/23.58 ((~v90(constB174, bitIndex0)) | v90(constB175, bitIndex0)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27138, 27069])).
% 34.94/23.58 tff(27140,plain,
% 34.94/23.58 (v90(constB175, bitIndex0)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27139, 27131])).
% 34.94/23.58 tff(27141,plain,
% 34.94/23.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27142,plain,
% 34.94/23.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27143,plain,
% 34.94/23.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175)),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27142, 27141])).
% 34.94/23.58 tff(27144,plain,
% 34.94/23.58 (v122(constB175)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27143, 1486, 27140, 27109, 27078])).
% 34.94/23.58 tff(27145,plain,
% 34.94/23.58 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB175)) | (~v130(constB175, bitIndex0)))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27146,plain,
% 34.94/23.58 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex0)))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27147,plain,
% 34.94/23.58 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB175)) | (~v130(constB175, bitIndex0))),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27146, 27145])).
% 34.94/23.58 tff(27148,plain,
% 34.94/23.58 (~v130(constB175, bitIndex0)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27147, 1721, 27144])).
% 34.94/23.58 tff(27149,assumption,(v26(constB175)), introduced(assumption)).
% 34.94/23.58 tff(27150,plain,
% 34.94/23.58 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB175))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27151,plain,
% 34.94/23.58 ($false),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27150, 120, 27149])).
% 34.94/23.58 tff(27152,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 34.94/23.58 tff(27153,plain,
% 34.94/23.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27154,plain,
% 34.94/23.58 ((v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0))) <=> ((~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27155,plain,
% 34.94/23.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0)))),
% 34.94/23.58 inference(monotonicity,[status(thm)],[27154])).
% 34.94/23.58 tff(27156,plain,
% 34.94/23.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))),
% 34.94/23.58 inference(transitivity,[status(thm)],[27155, 27153])).
% 34.94/23.58 tff(27157,plain,
% 34.94/23.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0)))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27158,plain,
% 34.94/23.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0)),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27157, 27156])).
% 34.94/23.58 tff(27159,plain,
% 34.94/23.58 ((~v127(constB175, bitIndex0)) | v130(constB175, bitIndex0)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27158, 1182, 27152])).
% 34.94/23.58 tff(27160,plain,
% 34.94/23.58 (~v127(constB175, bitIndex0)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27159, 27148])).
% 34.94/23.58 tff(27161,plain,
% 34.94/23.58 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27162,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 34.94/23.58 tff(27163,plain,
% 34.94/23.58 (nextState(constB175, constB176)),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27162, 27161])).
% 34.94/23.58 tff(27164,plain,
% 34.94/23.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0)))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27165,plain,
% 34.94/23.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0)))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27166,plain,
% 34.94/23.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0))),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27165, 27164])).
% 34.94/23.58 tff(27167,plain,
% 34.94/23.58 (v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0))),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27166, 1200, 27163])).
% 34.94/23.58 tff(27168,plain,
% 34.94/23.58 (~v129(constB176, bitIndex0)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27167, 27160])).
% 34.94/23.58 tff(27169,plain,
% 34.94/23.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB175, bitIndex1)) | (~v120(constB175)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB175, bitIndex1)) | (~v120(constB175)))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27170,plain,
% 34.94/23.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB175, bitIndex1)) | (~v120(constB175)))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27171,plain,
% 34.94/23.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB175, bitIndex1)) | (~v120(constB175))),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27170, 27169])).
% 34.94/23.58 tff(27172,plain,
% 34.94/23.58 (~v120(constB175)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27171, 2183, 27109])).
% 34.94/23.58 tff(27173,assumption,(~v130(constB175, bitIndex0)), introduced(assumption)).
% 34.94/23.58 tff(27174,assumption,(~v120(constB175)), introduced(assumption)).
% 34.94/23.58 tff(27175,assumption,(~v130(constB175, bitIndex2)), introduced(assumption)).
% 34.94/23.58 tff(27176,plain,
% 34.94/23.58 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB175)) | v130(constB175, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB175)) | v130(constB175, bitIndex2))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27177,plain,
% 34.94/23.58 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB175)) | v130(constB175, bitIndex2))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27178,plain,
% 34.94/23.58 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB175)) | v130(constB175, bitIndex2)),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27177, 27176])).
% 34.94/23.58 tff(27179,plain,
% 34.94/23.58 (~v124(constB175)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27178, 2075, 27175])).
% 34.94/23.58 tff(27180,plain,
% 34.94/23.58 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB175)) | v130(constB175, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB175)) | v130(constB175, bitIndex2))),
% 34.94/23.58 inference(rewrite,[status(thm)],[])).
% 34.94/23.58 tff(27181,plain,
% 34.94/23.58 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB175)) | v130(constB175, bitIndex2))),
% 34.94/23.58 inference(quant_inst,[status(thm)],[])).
% 34.94/23.58 tff(27182,plain,
% 34.94/23.58 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB175)) | v130(constB175, bitIndex2)),
% 34.94/23.58 inference(modus_ponens,[status(thm)],[27181, 27180])).
% 34.94/23.58 tff(27183,plain,
% 34.94/23.58 (~v122(constB175)),
% 34.94/23.58 inference(unit_resolution,[status(thm)],[27182, 1578, 27175])).
% 34.94/23.58 tff(27184,plain,
% 34.94/23.58 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB175)) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB175)) | v130(constB175, bitIndex0))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27185,plain,
% 34.94/23.59 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB175)) | v130(constB175, bitIndex0))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27186,plain,
% 34.94/23.59 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB175)) | v130(constB175, bitIndex0)),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27185, 27184])).
% 34.94/23.59 tff(27187,plain,
% 34.94/23.59 (~v119(constB175)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27186, 841, 27173])).
% 34.94/23.59 tff(27188,plain,
% 34.94/23.59 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB175)) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB175)) | v130(constB175, bitIndex0))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27189,plain,
% 34.94/23.59 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB175)) | v130(constB175, bitIndex0))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27190,plain,
% 34.94/23.59 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB175)) | v130(constB175, bitIndex0)),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27189, 27188])).
% 34.94/23.59 tff(27191,plain,
% 34.94/23.59 (~v123(constB175)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27190, 1953, 27173])).
% 34.94/23.59 tff(27192,plain,
% 34.94/23.59 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB175)) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB175)) | v130(constB175, bitIndex0))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27193,plain,
% 34.94/23.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB175)) | v130(constB175, bitIndex0))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27194,plain,
% 34.94/23.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB175)) | v130(constB175, bitIndex0)),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27193, 27192])).
% 34.94/23.59 tff(27195,plain,
% 34.94/23.59 (~v121(constB175)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27194, 1445, 27173])).
% 34.94/23.59 tff(27196,assumption,(~v122(constB175)), introduced(assumption)).
% 34.94/23.59 tff(27197,assumption,(~v124(constB175)), introduced(assumption)).
% 34.94/23.59 tff(27198,plain,
% 34.94/23.59 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27199,plain,
% 34.94/23.59 ((v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0)) <=> (v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27200,plain,
% 34.94/23.59 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175)))),
% 34.94/23.59 inference(monotonicity,[status(thm)],[27199])).
% 34.94/23.59 tff(27201,plain,
% 34.94/23.59 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175))),
% 34.94/23.59 inference(transitivity,[status(thm)],[27200, 27198])).
% 34.94/23.59 tff(27202,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27203,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175)),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27202, 27201])).
% 34.94/23.59 tff(27204,plain,
% 34.94/23.59 (v130(constB175, bitIndex0) | v119(constB175) | v121(constB175) | v123(constB175)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27203, 2495, 27197, 27196, 27174])).
% 34.94/23.59 tff(27205,plain,
% 34.94/23.59 ($false),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27204, 27195, 27191, 27187, 27173])).
% 34.94/23.59 tff(27206,plain,(v130(constB175, bitIndex0) | v124(constB175) | v122(constB175) | v120(constB175)), inference(lemma,lemma(discharge,[]))).
% 34.94/23.59 tff(27207,plain,
% 34.94/23.59 ($false),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27206, 27183, 27179, 27173, 27174])).
% 34.94/23.59 tff(27208,plain,(v130(constB175, bitIndex2) | v130(constB175, bitIndex0) | v120(constB175)), inference(lemma,lemma(discharge,[]))).
% 34.94/23.59 tff(27209,plain,
% 34.94/23.59 (v130(constB175, bitIndex2)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27208, 27174, 27173])).
% 34.94/23.59 tff(27210,plain,
% 34.94/23.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27211,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27212,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2)),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27211, 27210])).
% 34.94/23.59 tff(27213,plain,
% 34.94/23.59 ((~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27212, 1592, 27152])).
% 34.94/23.59 tff(27214,plain,
% 34.94/23.59 (v127(constB175, bitIndex2)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27213, 27209])).
% 34.94/23.59 tff(27215,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27216,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27217,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2)),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27216, 27215])).
% 34.94/23.59 tff(27218,plain,
% 34.94/23.59 ((~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27217, 1607, 27163])).
% 34.94/23.59 tff(27219,plain,
% 34.94/23.59 (v129(constB176, bitIndex2)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27218, 27214])).
% 34.94/23.59 tff(27220,assumption,(~v90(constB176, bitIndex2)), introduced(assumption)).
% 34.94/23.59 tff(27221,plain,
% 34.94/23.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27222,plain,
% 34.94/23.59 ((v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2))) <=> (v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27223,plain,
% 34.94/23.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176))))),
% 34.94/23.59 inference(monotonicity,[status(thm)],[27222])).
% 34.94/23.59 tff(27224,plain,
% 34.94/23.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))),
% 34.94/23.59 inference(transitivity,[status(thm)],[27223, 27221])).
% 34.94/23.59 tff(27225,plain,
% 34.94/23.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2)))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27226,plain,
% 34.94/23.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176))),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27225, 27224])).
% 34.94/23.59 tff(27227,plain,
% 34.94/23.59 ((~v129(constB176, bitIndex2)) | (~v100(constB176))),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27226, 1622, 27220])).
% 34.94/23.59 tff(27228,plain,
% 34.94/23.59 (~v100(constB176)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27227, 27219])).
% 34.94/23.59 tff(27229,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27230,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27231,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176))),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27230, 27229])).
% 34.94/23.59 tff(27232,plain,
% 34.94/23.59 (~v104(constB176)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27231, 603, 27163, 27054])).
% 34.94/23.59 tff(27233,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27234,plain,
% 34.94/23.59 (((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176)) <=> ((~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27235,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | v102(constB176)))),
% 34.94/23.59 inference(monotonicity,[status(thm)],[27234])).
% 34.94/23.59 tff(27236,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))),
% 34.94/23.59 inference(transitivity,[status(thm)],[27235, 27233])).
% 34.94/23.59 tff(27237,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27238,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | v102(constB176)),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27237, 27236])).
% 34.94/23.59 tff(27239,plain,
% 34.94/23.59 (v104(constB176) | v102(constB176)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27238, 617, 27163])).
% 34.94/23.59 tff(27240,plain,
% 34.94/23.59 (v102(constB176)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27239, 27232])).
% 34.94/23.59 tff(27241,plain,
% 34.94/23.59 (v1(constB176) <=> v1(constB176)),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27242,axiom,(v1(constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 34.94/23.59 tff(27243,plain,
% 34.94/23.59 (v1(constB176)),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27242, 27241])).
% 34.94/23.59 tff(27244,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27245,plain,
% 34.94/23.59 (((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176))) <=> ((~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27246,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176))))),
% 34.94/23.59 inference(monotonicity,[status(thm)],[27245])).
% 34.94/23.59 tff(27247,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))),
% 34.94/23.59 inference(transitivity,[status(thm)],[27246, 27244])).
% 34.94/23.59 tff(27248,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27249,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176))),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27248, 27247])).
% 34.94/23.59 tff(27250,plain,
% 34.94/23.59 (v101(constB176) | (~v102(constB176))),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27249, 638, 27163, 27243])).
% 34.94/23.59 tff(27251,plain,
% 34.94/23.59 (v101(constB176)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27250, 27240])).
% 34.94/23.59 tff(27252,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27253,plain,
% 34.94/23.59 (((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176)) <=> ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27254,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))))),
% 34.94/23.59 inference(monotonicity,[status(thm)],[27253])).
% 34.94/23.59 tff(27255,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 34.94/23.59 inference(transitivity,[status(thm)],[27254, 27252])).
% 34.94/23.59 tff(27256,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27257,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27256, 27255])).
% 34.94/23.59 tff(27258,plain,
% 34.94/23.59 (v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27257, 656, 27163])).
% 34.94/23.59 tff(27259,plain,
% 34.94/23.59 (v100(constB176) | (~v110(constB176))),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27258, 27251])).
% 34.94/23.59 tff(27260,plain,
% 34.94/23.59 (~v110(constB176)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27259, 27228])).
% 34.94/23.59 tff(27261,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27262,plain,
% 34.94/23.59 (((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176)) <=> ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27263,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))))),
% 34.94/23.59 inference(monotonicity,[status(thm)],[27262])).
% 34.94/23.59 tff(27264,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 34.94/23.59 inference(transitivity,[status(thm)],[27263, 27261])).
% 34.94/23.59 tff(27265,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27266,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27265, 27264])).
% 34.94/23.59 tff(27267,plain,
% 34.94/23.59 (v110(constB176) | (~v108(constB175))),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27266, 585, 27163])).
% 34.94/23.59 tff(27268,plain,
% 34.94/23.59 (~v108(constB175)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27267, 27260])).
% 34.94/23.59 tff(27269,plain,
% 34.94/23.59 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB175) | (~v112(constB175)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB175) | (~v112(constB175)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27270,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB175) | (~v112(constB175)))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27271,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB175) | (~v112(constB175))),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27270, 27269])).
% 34.94/23.59 tff(27272,plain,
% 34.94/23.59 (~v112(constB175)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27271, 568, 27268])).
% 34.94/23.59 tff(27273,plain,
% 34.94/23.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | v112(constB175) | (~v113(constB175)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27274,plain,
% 34.94/23.59 ((v26(constB175) | (~v113(constB175)) | v112(constB175)) <=> (v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27275,plain,
% 34.94/23.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | v112(constB175) | (~v113(constB175))))),
% 34.94/23.59 inference(monotonicity,[status(thm)],[27274])).
% 34.94/23.59 tff(27276,plain,
% 34.94/23.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 34.94/23.59 inference(transitivity,[status(thm)],[27275, 27273])).
% 34.94/23.59 tff(27277,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27278,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175))),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27277, 27276])).
% 34.94/23.59 tff(27279,plain,
% 34.94/23.59 (v112(constB175) | (~v113(constB175))),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27278, 556, 27152])).
% 34.94/23.59 tff(27280,plain,
% 34.94/23.59 (~v113(constB175)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27279, 27272])).
% 34.94/23.59 tff(27281,plain,
% 34.94/23.59 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB175) | (~v114(constB175)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB175) | (~v114(constB175)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27282,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB175) | (~v114(constB175)))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27283,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB175) | (~v114(constB175))),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27282, 27281])).
% 34.94/23.59 tff(27284,plain,
% 34.94/23.59 (~v114(constB175)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27283, 542, 27280])).
% 34.94/23.59 tff(27285,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB175, bitIndex2)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB175, bitIndex2)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex2))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27286,plain,
% 34.94/23.59 (((~nextState(constB175, constB176)) | (~v90(constB175, bitIndex2)) | v100(constB176) | v90(constB176, bitIndex2)) <=> ((~v90(constB175, bitIndex2)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex2))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27287,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v90(constB175, bitIndex2)) | v100(constB176) | v90(constB176, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB175, bitIndex2)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex2)))),
% 34.94/23.59 inference(monotonicity,[status(thm)],[27286])).
% 34.94/23.59 tff(27288,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v90(constB175, bitIndex2)) | v100(constB176) | v90(constB176, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB175, bitIndex2)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex2))),
% 34.94/23.59 inference(transitivity,[status(thm)],[27287, 27285])).
% 34.94/23.59 tff(27289,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v90(constB175, bitIndex2)) | v100(constB176) | v90(constB176, bitIndex2))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27290,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB175, bitIndex2)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex2)),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27289, 27288])).
% 34.94/23.59 tff(27291,plain,
% 34.94/23.59 ((~v90(constB175, bitIndex2)) | v100(constB176) | v90(constB176, bitIndex2)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27290, 1658, 27163])).
% 34.94/23.59 tff(27292,plain,
% 34.94/23.59 (~v90(constB175, bitIndex2)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27291, 27228, 27220])).
% 34.94/23.59 tff(27293,plain,
% 34.94/23.59 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB175, bitIndex2) | (~v124(constB175)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB175, bitIndex2) | (~v124(constB175)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27294,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB175, bitIndex2) | (~v124(constB175)))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27295,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB175, bitIndex2) | (~v124(constB175))),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27294, 27293])).
% 34.94/23.59 tff(27296,plain,
% 34.94/23.59 (~v124(constB175)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27295, 15741, 27292])).
% 34.94/23.59 tff(27297,plain,
% 34.94/23.59 (v122(constB175)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27206, 27296, 27173, 27174])).
% 34.94/23.59 tff(27298,plain,
% 34.94/23.59 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB175) | (~v122(constB175)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB175) | (~v122(constB175)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27299,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB175) | (~v122(constB175)))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27300,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB175) | (~v122(constB175))),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27299, 27298])).
% 34.94/23.59 tff(27301,plain,
% 34.94/23.59 (v116(constB175)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27300, 1497, 27297])).
% 34.94/23.59 tff(27302,plain,
% 34.94/23.59 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB175) | (~v116(constB175)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB175) | (~v116(constB175)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27303,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB175) | (~v116(constB175)))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27304,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB175) | (~v116(constB175))),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27303, 27302])).
% 34.94/23.59 tff(27305,plain,
% 34.94/23.59 (v115(constB175)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27304, 520, 27301])).
% 34.94/23.59 tff(27306,plain,
% 34.94/23.59 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB175) | (~v115(constB175)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB175) | (~v115(constB175)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27307,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB175) | (~v115(constB175)))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27308,plain,
% 34.94/23.59 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB175) | (~v115(constB175))),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27307, 27306])).
% 34.94/23.59 tff(27309,plain,
% 34.94/23.59 ($false),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27308, 531, 27305, 27284])).
% 34.94/23.59 tff(27310,plain,(v120(constB175) | v130(constB175, bitIndex0) | v90(constB176, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 34.94/23.59 tff(27311,plain,
% 34.94/23.59 (v90(constB176, bitIndex2)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27310, 27148, 27172])).
% 34.94/23.59 tff(27312,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB175, bitIndex2) | (~nextState(constB175, constB176)) | v100(constB176) | (~v90(constB176, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB175, bitIndex2) | (~nextState(constB175, constB176)) | v100(constB176) | (~v90(constB176, bitIndex2)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27313,plain,
% 34.94/23.59 (((~nextState(constB175, constB176)) | v90(constB175, bitIndex2) | v100(constB176) | (~v90(constB176, bitIndex2))) <=> (v90(constB175, bitIndex2) | (~nextState(constB175, constB176)) | v100(constB176) | (~v90(constB176, bitIndex2)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27314,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v90(constB175, bitIndex2) | v100(constB176) | (~v90(constB176, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB175, bitIndex2) | (~nextState(constB175, constB176)) | v100(constB176) | (~v90(constB176, bitIndex2))))),
% 34.94/23.59 inference(monotonicity,[status(thm)],[27313])).
% 34.94/23.59 tff(27315,plain,
% 34.94/23.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v90(constB175, bitIndex2) | v100(constB176) | (~v90(constB176, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB175, bitIndex2) | (~nextState(constB175, constB176)) | v100(constB176) | (~v90(constB176, bitIndex2)))),
% 34.94/23.59 inference(transitivity,[status(thm)],[27314, 27312])).
% 34.94/23.59 tff(27316,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v90(constB175, bitIndex2) | v100(constB176) | (~v90(constB176, bitIndex2)))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27317,plain,
% 34.94/23.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB175, bitIndex2) | (~nextState(constB175, constB176)) | v100(constB176) | (~v90(constB176, bitIndex2))),
% 34.94/23.59 inference(modus_ponens,[status(thm)],[27316, 27315])).
% 34.94/23.59 tff(27318,plain,
% 34.94/23.59 (v90(constB175, bitIndex2) | v100(constB176) | (~v90(constB176, bitIndex2))),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27317, 413, 27163])).
% 34.94/23.59 tff(27319,plain,
% 34.94/23.59 (v100(constB176)),
% 34.94/23.59 inference(unit_resolution,[status(thm)],[27318, 27311, 27078])).
% 34.94/23.59 tff(27320,plain,
% 34.94/23.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27321,plain,
% 34.94/23.59 (((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0)) <=> ((~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))),
% 34.94/23.59 inference(rewrite,[status(thm)],[])).
% 34.94/23.59 tff(27322,plain,
% 34.94/23.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176))))),
% 34.94/23.59 inference(monotonicity,[status(thm)],[27321])).
% 34.94/23.59 tff(27323,plain,
% 34.94/23.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))),
% 34.94/23.59 inference(transitivity,[status(thm)],[27322, 27320])).
% 34.94/23.59 tff(27324,plain,
% 34.94/23.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0))),
% 34.94/23.59 inference(quant_inst,[status(thm)],[])).
% 34.94/23.59 tff(27325,plain,
% 34.94/23.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176))),
% 34.94/23.60 inference(modus_ponens,[status(thm)],[27324, 27323])).
% 34.94/23.60 tff(27326,plain,
% 34.94/23.60 (~v90(constB176, bitIndex0)),
% 34.94/23.60 inference(unit_resolution,[status(thm)],[27325, 1215, 27319, 27168])).
% 34.94/23.60 tff(27327,plain,
% 34.94/23.60 ((~v1(constB177)) <=> (~v1(constB177))),
% 34.94/23.60 inference(rewrite,[status(thm)],[])).
% 34.94/23.60 tff(27328,axiom,(~v1(constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 34.94/23.60 tff(27329,plain,
% 34.94/23.60 (~v1(constB177)),
% 34.94/23.60 inference(modus_ponens,[status(thm)],[27328, 27327])).
% 34.94/23.60 tff(27330,plain,
% 34.94/23.60 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 34.94/23.60 inference(rewrite,[status(thm)],[])).
% 34.94/23.60 tff(27331,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 34.94/23.60 tff(27332,plain,
% 34.94/23.60 (nextState(constB176, constB177)),
% 34.94/23.60 inference(modus_ponens,[status(thm)],[27331, 27330])).
% 34.94/23.60 tff(27333,plain,
% 34.94/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 34.94/23.60 inference(rewrite,[status(thm)],[])).
% 34.94/23.60 tff(27334,plain,
% 34.94/23.60 (((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 34.94/23.60 inference(rewrite,[status(thm)],[])).
% 34.94/23.60 tff(27335,plain,
% 34.94/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))))),
% 34.94/23.60 inference(monotonicity,[status(thm)],[27334])).
% 34.94/23.60 tff(27336,plain,
% 34.94/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 34.94/23.60 inference(transitivity,[status(thm)],[27335, 27333])).
% 34.94/23.60 tff(27337,plain,
% 34.94/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))),
% 34.94/23.60 inference(quant_inst,[status(thm)],[])).
% 34.94/23.60 tff(27338,plain,
% 34.94/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))),
% 34.94/23.60 inference(modus_ponens,[status(thm)],[27337, 27336])).
% 34.94/23.60 tff(27339,plain,
% 34.94/23.60 (~v101(constB177)),
% 34.94/23.60 inference(unit_resolution,[status(thm)],[27338, 381, 27332, 27329])).
% 34.94/23.60 tff(27340,plain,
% 34.94/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 34.94/23.60 inference(rewrite,[status(thm)],[])).
% 34.94/23.60 tff(27341,plain,
% 34.94/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 34.94/23.60 inference(quant_inst,[status(thm)],[])).
% 34.94/23.60 tff(27342,plain,
% 34.94/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177))),
% 34.94/23.60 inference(modus_ponens,[status(thm)],[27341, 27340])).
% 34.94/23.60 tff(27343,plain,
% 34.94/23.60 (v101(constB177) | (~v100(constB177))),
% 34.94/23.60 inference(unit_resolution,[status(thm)],[27342, 398, 27332])).
% 34.94/23.60 tff(27344,plain,
% 34.94/23.60 (~v100(constB177)),
% 34.94/23.60 inference(unit_resolution,[status(thm)],[27343, 27339])).
% 34.94/23.60 tff(27345,plain,
% 34.94/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 34.94/23.60 inference(rewrite,[status(thm)],[])).
% 34.94/23.60 tff(27346,plain,
% 34.94/23.60 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0))) <=> (v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 34.94/23.60 inference(rewrite,[status(thm)],[])).
% 34.94/23.60 tff(27347,plain,
% 34.94/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0))))),
% 34.94/23.60 inference(monotonicity,[status(thm)],[27346])).
% 34.94/23.60 tff(27348,plain,
% 34.94/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 34.94/23.60 inference(transitivity,[status(thm)],[27347, 27345])).
% 34.94/23.60 tff(27349,plain,
% 34.94/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 34.94/23.60 inference(quant_inst,[status(thm)],[])).
% 34.94/23.60 tff(27350,plain,
% 34.94/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0))),
% 34.94/23.60 inference(modus_ponens,[status(thm)],[27349, 27348])).
% 34.94/23.60 tff(27351,plain,
% 34.94/23.60 (v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0))),
% 34.94/23.60 inference(unit_resolution,[status(thm)],[27350, 455, 27332])).
% 34.94/23.60 tff(27352,plain,
% 34.94/23.60 (v90(constB176, bitIndex0) | (~v90(constB177, bitIndex0))),
% 34.94/23.60 inference(unit_resolution,[status(thm)],[27351, 27344])).
% 34.94/23.60 tff(27353,plain,
% 34.94/23.60 (~v90(constB177, bitIndex0)),
% 34.94/23.60 inference(unit_resolution,[status(thm)],[27352, 27326])).
% 34.94/23.60 tff(27354,plain,
% 34.94/23.60 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB175)) | (~v130(constB175, bitIndex1)))),
% 34.94/23.60 inference(rewrite,[status(thm)],[])).
% 34.94/23.60 tff(27355,plain,
% 34.94/23.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex1)))),
% 34.94/23.60 inference(quant_inst,[status(thm)],[])).
% 34.94/23.60 tff(27356,plain,
% 34.94/23.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB175)) | (~v130(constB175, bitIndex1))),
% 34.94/23.60 inference(modus_ponens,[status(thm)],[27355, 27354])).
% 34.94/23.60 tff(27357,plain,
% 34.94/23.60 (~v130(constB175, bitIndex1)),
% 34.94/23.60 inference(unit_resolution,[status(thm)],[27356, 1677, 27144])).
% 34.94/23.60 tff(27358,plain,
% 34.94/23.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27359,plain,
% 35.01/23.60 ((v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1))) <=> ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27360,plain,
% 35.01/23.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)))),
% 35.01/23.60 inference(monotonicity,[status(thm)],[27359])).
% 35.01/23.60 tff(27361,plain,
% 35.01/23.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 35.01/23.60 inference(transitivity,[status(thm)],[27360, 27358])).
% 35.01/23.60 tff(27362,plain,
% 35.01/23.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))),
% 35.01/23.60 inference(quant_inst,[status(thm)],[])).
% 35.01/23.60 tff(27363,plain,
% 35.01/23.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)),
% 35.01/23.60 inference(modus_ponens,[status(thm)],[27362, 27361])).
% 35.01/23.60 tff(27364,plain,
% 35.01/23.60 ((~v127(constB175, bitIndex1)) | v130(constB175, bitIndex1)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27363, 781, 27152])).
% 35.01/23.60 tff(27365,plain,
% 35.01/23.60 (~v127(constB175, bitIndex1)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27364, 27357])).
% 35.01/23.60 tff(27366,plain,
% 35.01/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27367,plain,
% 35.01/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 35.01/23.60 inference(quant_inst,[status(thm)],[])).
% 35.01/23.60 tff(27368,plain,
% 35.01/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 35.01/23.60 inference(modus_ponens,[status(thm)],[27367, 27366])).
% 35.01/23.60 tff(27369,plain,
% 35.01/23.60 (v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27368, 799, 27163])).
% 35.01/23.60 tff(27370,plain,
% 35.01/23.60 (~v129(constB176, bitIndex1)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27369, 27365])).
% 35.01/23.60 tff(27371,plain,
% 35.01/23.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27372,plain,
% 35.01/23.60 (((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1)) <=> ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27373,plain,
% 35.01/23.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))))),
% 35.01/23.60 inference(monotonicity,[status(thm)],[27372])).
% 35.01/23.60 tff(27374,plain,
% 35.01/23.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 35.01/23.60 inference(transitivity,[status(thm)],[27373, 27371])).
% 35.01/23.60 tff(27375,plain,
% 35.01/23.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))),
% 35.01/23.60 inference(quant_inst,[status(thm)],[])).
% 35.01/23.60 tff(27376,plain,
% 35.01/23.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))),
% 35.01/23.60 inference(modus_ponens,[status(thm)],[27375, 27374])).
% 35.01/23.60 tff(27377,plain,
% 35.01/23.60 (~v90(constB176, bitIndex1)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27376, 814, 27319, 27370])).
% 35.01/23.60 tff(27378,plain,
% 35.01/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27379,plain,
% 35.01/23.60 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))) <=> (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27380,plain,
% 35.01/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1))))),
% 35.01/23.60 inference(monotonicity,[status(thm)],[27379])).
% 35.01/23.60 tff(27381,plain,
% 35.01/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 35.01/23.60 inference(transitivity,[status(thm)],[27380, 27378])).
% 35.01/23.60 tff(27382,plain,
% 35.01/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 35.01/23.60 inference(quant_inst,[status(thm)],[])).
% 35.01/23.60 tff(27383,plain,
% 35.01/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 35.01/23.60 inference(modus_ponens,[status(thm)],[27382, 27381])).
% 35.01/23.60 tff(27384,plain,
% 35.01/23.60 (v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27383, 434, 27332])).
% 35.01/23.60 tff(27385,plain,
% 35.01/23.60 (v90(constB176, bitIndex1) | (~v90(constB177, bitIndex1))),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27384, 27344])).
% 35.01/23.60 tff(27386,plain,
% 35.01/23.60 (~v90(constB177, bitIndex1)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27385, 27377])).
% 35.01/23.60 tff(27387,plain,
% 35.01/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27388,plain,
% 35.01/23.60 (((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2)) <=> ((~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27389,plain,
% 35.01/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2)))),
% 35.01/23.60 inference(monotonicity,[status(thm)],[27388])).
% 35.01/23.60 tff(27390,plain,
% 35.01/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))),
% 35.01/23.60 inference(transitivity,[status(thm)],[27389, 27387])).
% 35.01/23.60 tff(27391,plain,
% 35.01/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2))),
% 35.01/23.60 inference(quant_inst,[status(thm)],[])).
% 35.01/23.60 tff(27392,plain,
% 35.01/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2)),
% 35.01/23.60 inference(modus_ponens,[status(thm)],[27391, 27390])).
% 35.01/23.60 tff(27393,plain,
% 35.01/23.60 ((~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27392, 1658, 27332])).
% 35.01/23.60 tff(27394,plain,
% 35.01/23.60 ((~v90(constB176, bitIndex2)) | v90(constB177, bitIndex2)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27393, 27344])).
% 35.01/23.60 tff(27395,plain,
% 35.01/23.60 (v90(constB177, bitIndex2)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27394, 27311])).
% 35.01/23.60 tff(27396,plain,
% 35.01/23.60 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27397,plain,
% 35.01/23.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177))),
% 35.01/23.60 inference(quant_inst,[status(thm)],[])).
% 35.01/23.60 tff(27398,plain,
% 35.01/23.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177)),
% 35.01/23.60 inference(modus_ponens,[status(thm)],[27397, 27396])).
% 35.01/23.60 tff(27399,plain,
% 35.01/23.60 (v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | v123(constB177)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27398, 1765, 27395])).
% 35.01/23.60 tff(27400,plain,
% 35.01/23.60 (v123(constB177)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27399, 27386, 27353])).
% 35.01/23.60 tff(27401,plain,
% 35.01/23.60 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB177) | (~v123(constB177)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB177) | (~v123(constB177)))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27402,plain,
% 35.01/23.60 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB177) | (~v123(constB177)))),
% 35.01/23.60 inference(quant_inst,[status(thm)],[])).
% 35.01/23.60 tff(27403,plain,
% 35.01/23.60 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB177) | (~v123(constB177))),
% 35.01/23.60 inference(modus_ponens,[status(thm)],[27402, 27401])).
% 35.01/23.60 tff(27404,plain,
% 35.01/23.60 (v115(constB177)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27403, 1776, 27400])).
% 35.01/23.60 tff(27405,plain,
% 35.01/23.60 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB177) | (~v115(constB177)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB177) | (~v115(constB177)))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27406,plain,
% 35.01/23.60 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB177) | (~v115(constB177)))),
% 35.01/23.60 inference(quant_inst,[status(thm)],[])).
% 35.01/23.60 tff(27407,plain,
% 35.01/23.60 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB177) | (~v115(constB177))),
% 35.01/23.60 inference(modus_ponens,[status(thm)],[27406, 27405])).
% 35.01/23.60 tff(27408,plain,
% 35.01/23.60 (v114(constB177)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27407, 531, 27404])).
% 35.01/23.60 tff(27409,plain,
% 35.01/23.60 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB177) | (~v114(constB177)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB177) | (~v114(constB177)))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27410,plain,
% 35.01/23.60 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB177) | (~v114(constB177)))),
% 35.01/23.60 inference(quant_inst,[status(thm)],[])).
% 35.01/23.60 tff(27411,plain,
% 35.01/23.60 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB177) | (~v114(constB177))),
% 35.01/23.60 inference(modus_ponens,[status(thm)],[27410, 27409])).
% 35.01/23.60 tff(27412,plain,
% 35.01/23.60 (v113(constB177)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27411, 542, 27408])).
% 35.01/23.60 tff(27413,assumption,(v26(constB177)), introduced(assumption)).
% 35.01/23.60 tff(27414,plain,
% 35.01/23.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB177))),
% 35.01/23.60 inference(quant_inst,[status(thm)],[])).
% 35.01/23.60 tff(27415,plain,
% 35.01/23.60 ($false),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27414, 120, 27413])).
% 35.01/23.60 tff(27416,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 35.01/23.60 tff(27417,plain,
% 35.01/23.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27418,plain,
% 35.01/23.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 35.01/23.60 inference(quant_inst,[status(thm)],[])).
% 35.01/23.60 tff(27419,plain,
% 35.01/23.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | (~v113(constB177)) | v112(constB177)),
% 35.01/23.60 inference(modus_ponens,[status(thm)],[27418, 27417])).
% 35.01/23.60 tff(27420,plain,
% 35.01/23.60 ((~v113(constB177)) | v112(constB177)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27419, 556, 27416])).
% 35.01/23.60 tff(27421,plain,
% 35.01/23.60 (v112(constB177)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27420, 27412])).
% 35.01/23.60 tff(27422,plain,
% 35.01/23.60 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB177) | (~v112(constB177)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB177) | (~v112(constB177)))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27423,plain,
% 35.01/23.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB177) | (~v112(constB177)))),
% 35.01/23.60 inference(quant_inst,[status(thm)],[])).
% 35.01/23.60 tff(27424,plain,
% 35.01/23.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB177) | (~v112(constB177))),
% 35.01/23.60 inference(modus_ponens,[status(thm)],[27423, 27422])).
% 35.01/23.60 tff(27425,plain,
% 35.01/23.60 (v108(constB177)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27424, 568, 27421])).
% 35.01/23.60 tff(27426,plain,
% 35.01/23.60 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27427,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 35.01/23.60 tff(27428,plain,
% 35.01/23.60 (nextState(constB177, constB178)),
% 35.01/23.60 inference(modus_ponens,[status(thm)],[27427, 27426])).
% 35.01/23.60 tff(27429,plain,
% 35.01/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27430,plain,
% 35.01/23.60 (((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178)) <=> ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 35.01/23.60 inference(rewrite,[status(thm)],[])).
% 35.01/23.60 tff(27431,plain,
% 35.01/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))))),
% 35.01/23.60 inference(monotonicity,[status(thm)],[27430])).
% 35.01/23.60 tff(27432,plain,
% 35.01/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 35.01/23.60 inference(transitivity,[status(thm)],[27431, 27429])).
% 35.01/23.60 tff(27433,plain,
% 35.01/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))),
% 35.01/23.60 inference(quant_inst,[status(thm)],[])).
% 35.01/23.60 tff(27434,plain,
% 35.01/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))),
% 35.01/23.60 inference(modus_ponens,[status(thm)],[27433, 27432])).
% 35.01/23.60 tff(27435,plain,
% 35.01/23.60 (v110(constB178) | (~v108(constB177))),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27434, 585, 27428])).
% 35.01/23.60 tff(27436,plain,
% 35.01/23.60 (v110(constB178)),
% 35.01/23.60 inference(unit_resolution,[status(thm)],[27435, 27425])).
% 35.01/23.60 tff(27437,plain,
% 35.01/23.60 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27438,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27439,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178))),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27438, 27437])).
% 35.01/23.61 tff(27440,plain,
% 35.01/23.61 (~v104(constB178)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27439, 603, 27428, 27329])).
% 35.01/23.61 tff(27441,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27442,plain,
% 35.01/23.61 (((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178)) <=> ((~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27443,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | v102(constB178)))),
% 35.01/23.61 inference(monotonicity,[status(thm)],[27442])).
% 35.01/23.61 tff(27444,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))),
% 35.01/23.61 inference(transitivity,[status(thm)],[27443, 27441])).
% 35.01/23.61 tff(27445,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27446,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | v102(constB178)),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27445, 27444])).
% 35.01/23.61 tff(27447,plain,
% 35.01/23.61 (v104(constB178) | v102(constB178)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27446, 617, 27428])).
% 35.01/23.61 tff(27448,plain,
% 35.01/23.61 (v102(constB178)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27447, 27440])).
% 35.01/23.61 tff(27449,plain,
% 35.01/23.61 (v1(constB178) <=> v1(constB178)),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27450,axiom,(v1(constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 35.01/23.61 tff(27451,plain,
% 35.01/23.61 (v1(constB178)),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27450, 27449])).
% 35.01/23.61 tff(27452,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27453,plain,
% 35.01/23.61 (((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178))) <=> ((~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27454,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178))))),
% 35.01/23.61 inference(monotonicity,[status(thm)],[27453])).
% 35.01/23.61 tff(27455,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))),
% 35.01/23.61 inference(transitivity,[status(thm)],[27454, 27452])).
% 35.01/23.61 tff(27456,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27457,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178))),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27456, 27455])).
% 35.01/23.61 tff(27458,plain,
% 35.01/23.61 (v101(constB178) | (~v102(constB178))),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27457, 638, 27428, 27451])).
% 35.01/23.61 tff(27459,plain,
% 35.01/23.61 (v101(constB178)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27458, 27448])).
% 35.01/23.61 tff(27460,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27461,plain,
% 35.01/23.61 (((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178)) <=> ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27462,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))))),
% 35.01/23.61 inference(monotonicity,[status(thm)],[27461])).
% 35.01/23.61 tff(27463,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 35.01/23.61 inference(transitivity,[status(thm)],[27462, 27460])).
% 35.01/23.61 tff(27464,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27465,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27464, 27463])).
% 35.01/23.61 tff(27466,plain,
% 35.01/23.61 (v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27465, 656, 27428])).
% 35.01/23.61 tff(27467,plain,
% 35.01/23.61 (v100(constB178) | (~v110(constB178))),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27466, 27459])).
% 35.01/23.61 tff(27468,plain,
% 35.01/23.61 (v100(constB178)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27467, 27436])).
% 35.01/23.61 tff(27469,plain,
% 35.01/23.61 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB177)) | v130(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB177)) | v130(constB177, bitIndex2))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27470,plain,
% 35.01/23.61 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB177)) | v130(constB177, bitIndex2))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27471,plain,
% 35.01/23.61 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB177)) | v130(constB177, bitIndex2)),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27470, 27469])).
% 35.01/23.61 tff(27472,plain,
% 35.01/23.61 (v130(constB177, bitIndex2)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27471, 1850, 27400])).
% 35.01/23.61 tff(27473,plain,
% 35.01/23.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27474,plain,
% 35.01/23.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27475,plain,
% 35.01/23.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2)),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27474, 27473])).
% 35.01/23.61 tff(27476,plain,
% 35.01/23.61 ((~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27475, 1592, 27416])).
% 35.01/23.61 tff(27477,plain,
% 35.01/23.61 (v127(constB177, bitIndex2)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27476, 27472])).
% 35.01/23.61 tff(27478,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27479,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27480,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2)),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27479, 27478])).
% 35.01/23.61 tff(27481,plain,
% 35.01/23.61 ((~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27480, 1607, 27428])).
% 35.01/23.61 tff(27482,plain,
% 35.01/23.61 (v129(constB178, bitIndex2)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27481, 27477])).
% 35.01/23.61 tff(27483,plain,
% 35.01/23.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27484,plain,
% 35.01/23.61 ((v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2))) <=> (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27485,plain,
% 35.01/23.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178))))),
% 35.01/23.61 inference(monotonicity,[status(thm)],[27484])).
% 35.01/23.61 tff(27486,plain,
% 35.01/23.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))),
% 35.01/23.61 inference(transitivity,[status(thm)],[27485, 27483])).
% 35.01/23.61 tff(27487,plain,
% 35.01/23.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2)))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27488,plain,
% 35.01/23.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178))),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27487, 27486])).
% 35.01/23.61 tff(27489,plain,
% 35.01/23.61 (v90(constB178, bitIndex2) | (~v100(constB178))),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27488, 1622, 27482])).
% 35.01/23.61 tff(27490,plain,
% 35.01/23.61 (v90(constB178, bitIndex2)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27489, 27468])).
% 35.01/23.61 tff(27491,plain,
% 35.01/23.61 ((~v1(constB179)) <=> (~v1(constB179))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27492,axiom,(~v1(constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 35.01/23.61 tff(27493,plain,
% 35.01/23.61 (~v1(constB179)),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27492, 27491])).
% 35.01/23.61 tff(27494,plain,
% 35.01/23.61 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27495,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 35.01/23.61 tff(27496,plain,
% 35.01/23.61 (nextState(constB178, constB179)),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27495, 27494])).
% 35.01/23.61 tff(27497,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27498,plain,
% 35.01/23.61 (((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27499,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))))),
% 35.01/23.61 inference(monotonicity,[status(thm)],[27498])).
% 35.01/23.61 tff(27500,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 35.01/23.61 inference(transitivity,[status(thm)],[27499, 27497])).
% 35.01/23.61 tff(27501,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27502,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27501, 27500])).
% 35.01/23.61 tff(27503,plain,
% 35.01/23.61 (~v101(constB179)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27502, 381, 27496, 27493])).
% 35.01/23.61 tff(27504,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27505,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27506,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179))),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27505, 27504])).
% 35.01/23.61 tff(27507,plain,
% 35.01/23.61 (v101(constB179) | (~v100(constB179))),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27506, 398, 27496])).
% 35.01/23.61 tff(27508,plain,
% 35.01/23.61 (~v100(constB179)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27507, 27503])).
% 35.01/23.61 tff(27509,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27510,plain,
% 35.01/23.61 (((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2)) <=> ((~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27511,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2)))),
% 35.01/23.61 inference(monotonicity,[status(thm)],[27510])).
% 35.01/23.61 tff(27512,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))),
% 35.01/23.61 inference(transitivity,[status(thm)],[27511, 27509])).
% 35.01/23.61 tff(27513,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27514,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2)),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27513, 27512])).
% 35.01/23.61 tff(27515,plain,
% 35.01/23.61 ((~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27514, 1658, 27496])).
% 35.01/23.61 tff(27516,plain,
% 35.01/23.61 ((~v90(constB178, bitIndex2)) | v90(constB179, bitIndex2)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27515, 27508])).
% 35.01/23.61 tff(27517,plain,
% 35.01/23.61 (v90(constB179, bitIndex2)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27516, 27490])).
% 35.01/23.61 tff(27518,plain,
% 35.01/23.61 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB177)) | (~v130(constB177, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB177)) | (~v130(constB177, bitIndex1)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27519,plain,
% 35.01/23.61 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB177)) | (~v130(constB177, bitIndex1)))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27520,plain,
% 35.01/23.61 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB177)) | (~v130(constB177, bitIndex1))),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27519, 27518])).
% 35.01/23.61 tff(27521,plain,
% 35.01/23.61 (~v130(constB177, bitIndex1)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27520, 1909, 27400])).
% 35.01/23.61 tff(27522,plain,
% 35.01/23.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27523,plain,
% 35.01/23.61 ((v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1))) <=> ((~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27524,plain,
% 35.01/23.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1)))),
% 35.01/23.61 inference(monotonicity,[status(thm)],[27523])).
% 35.01/23.61 tff(27525,plain,
% 35.01/23.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))),
% 35.01/23.61 inference(transitivity,[status(thm)],[27524, 27522])).
% 35.01/23.61 tff(27526,plain,
% 35.01/23.61 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1)))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27527,plain,
% 35.01/23.61 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1)),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27526, 27525])).
% 35.01/23.61 tff(27528,plain,
% 35.01/23.61 ((~v127(constB177, bitIndex1)) | v130(constB177, bitIndex1)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27527, 781, 27416])).
% 35.01/23.61 tff(27529,plain,
% 35.01/23.61 (~v127(constB177, bitIndex1)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27528, 27521])).
% 35.01/23.61 tff(27530,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27531,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1)))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27532,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1))),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27531, 27530])).
% 35.01/23.61 tff(27533,plain,
% 35.01/23.61 (v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1))),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27532, 799, 27428])).
% 35.01/23.61 tff(27534,plain,
% 35.01/23.61 (~v129(constB178, bitIndex1)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27533, 27529])).
% 35.01/23.61 tff(27535,plain,
% 35.01/23.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27536,plain,
% 35.01/23.61 (((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1)) <=> ((~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27537,plain,
% 35.01/23.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178))))),
% 35.01/23.61 inference(monotonicity,[status(thm)],[27536])).
% 35.01/23.61 tff(27538,plain,
% 35.01/23.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))),
% 35.01/23.61 inference(transitivity,[status(thm)],[27537, 27535])).
% 35.01/23.61 tff(27539,plain,
% 35.01/23.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27540,plain,
% 35.01/23.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178))),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27539, 27538])).
% 35.01/23.61 tff(27541,plain,
% 35.01/23.61 ((~v90(constB178, bitIndex1)) | (~v100(constB178))),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27540, 814, 27534])).
% 35.01/23.61 tff(27542,plain,
% 35.01/23.61 (~v90(constB178, bitIndex1)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27541, 27468])).
% 35.01/23.61 tff(27543,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27544,plain,
% 35.01/23.61 (((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1))) <=> (v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27545,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1))))),
% 35.01/23.61 inference(monotonicity,[status(thm)],[27544])).
% 35.01/23.61 tff(27546,plain,
% 35.01/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 35.01/23.61 inference(transitivity,[status(thm)],[27545, 27543])).
% 35.01/23.61 tff(27547,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27548,plain,
% 35.01/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1))),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27547, 27546])).
% 35.01/23.61 tff(27549,plain,
% 35.01/23.61 (v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1))),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27548, 434, 27496])).
% 35.01/23.61 tff(27550,plain,
% 35.01/23.61 (v90(constB178, bitIndex1) | (~v90(constB179, bitIndex1))),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27549, 27508])).
% 35.01/23.61 tff(27551,plain,
% 35.01/23.61 (~v90(constB179, bitIndex1)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27550, 27542])).
% 35.01/23.61 tff(27552,plain,
% 35.01/23.61 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB177)) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB177)) | v130(constB177, bitIndex0))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27553,plain,
% 35.01/23.61 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB177)) | v130(constB177, bitIndex0))),
% 35.01/23.61 inference(quant_inst,[status(thm)],[])).
% 35.01/23.61 tff(27554,plain,
% 35.01/23.61 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB177)) | v130(constB177, bitIndex0)),
% 35.01/23.61 inference(modus_ponens,[status(thm)],[27553, 27552])).
% 35.01/23.61 tff(27555,plain,
% 35.01/23.61 (v130(constB177, bitIndex0)),
% 35.01/23.61 inference(unit_resolution,[status(thm)],[27554, 1953, 27400])).
% 35.01/23.61 tff(27556,plain,
% 35.01/23.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0))),
% 35.01/23.61 inference(rewrite,[status(thm)],[])).
% 35.01/23.61 tff(27557,plain,
% 35.01/23.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27558,plain,
% 35.01/23.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0)),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27557, 27556])).
% 35.01/23.62 tff(27559,plain,
% 35.01/23.62 ((~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27558, 855, 27416])).
% 35.01/23.62 tff(27560,plain,
% 35.01/23.62 (v127(constB177, bitIndex0)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27559, 27555])).
% 35.01/23.62 tff(27561,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27562,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27563,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0)),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27562, 27561])).
% 35.01/23.62 tff(27564,plain,
% 35.01/23.62 ((~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27563, 870, 27428])).
% 35.01/23.62 tff(27565,plain,
% 35.01/23.62 (v129(constB178, bitIndex0)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27564, 27560])).
% 35.01/23.62 tff(27566,plain,
% 35.01/23.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27567,plain,
% 35.01/23.62 ((v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0))) <=> (v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27568,plain,
% 35.01/23.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178))))),
% 35.01/23.62 inference(monotonicity,[status(thm)],[27567])).
% 35.01/23.62 tff(27569,plain,
% 35.01/23.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))),
% 35.01/23.62 inference(transitivity,[status(thm)],[27568, 27566])).
% 35.01/23.62 tff(27570,plain,
% 35.01/23.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0)))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27571,plain,
% 35.01/23.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178))),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27570, 27569])).
% 35.01/23.62 tff(27572,plain,
% 35.01/23.62 (v90(constB178, bitIndex0) | (~v100(constB178))),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27571, 885, 27565])).
% 35.01/23.62 tff(27573,plain,
% 35.01/23.62 (v90(constB178, bitIndex0)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27572, 27468])).
% 35.01/23.62 tff(27574,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27575,plain,
% 35.01/23.62 (((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0)) <=> ((~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27576,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0)))),
% 35.01/23.62 inference(monotonicity,[status(thm)],[27575])).
% 35.01/23.62 tff(27577,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))),
% 35.01/23.62 inference(transitivity,[status(thm)],[27576, 27574])).
% 35.01/23.62 tff(27578,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27579,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0)),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27578, 27577])).
% 35.01/23.62 tff(27580,plain,
% 35.01/23.62 ((~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27579, 903, 27496])).
% 35.01/23.62 tff(27581,plain,
% 35.01/23.62 ((~v90(constB178, bitIndex0)) | v90(constB179, bitIndex0)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27580, 27508])).
% 35.01/23.62 tff(27582,plain,
% 35.01/23.62 (v90(constB179, bitIndex0)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27581, 27573])).
% 35.01/23.62 tff(27583,plain,
% 35.01/23.62 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27584,plain,
% 35.01/23.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27585,plain,
% 35.01/23.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179)),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27584, 27583])).
% 35.01/23.62 tff(27586,plain,
% 35.01/23.62 (v124(constB179)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27585, 1994, 27582, 27551, 27517])).
% 35.01/23.62 tff(27587,plain,
% 35.01/23.62 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB179) | (~v124(constB179)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB179) | (~v124(constB179)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27588,plain,
% 35.01/23.62 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB179) | (~v124(constB179)))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27589,plain,
% 35.01/23.62 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB179) | (~v124(constB179))),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27588, 27587])).
% 35.01/23.62 tff(27590,plain,
% 35.01/23.62 (v114(constB179)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27589, 2005, 27586])).
% 35.01/23.62 tff(27591,plain,
% 35.01/23.62 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB179) | (~v114(constB179)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB179) | (~v114(constB179)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27592,plain,
% 35.01/23.62 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB179) | (~v114(constB179)))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27593,plain,
% 35.01/23.62 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB179) | (~v114(constB179))),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27592, 27591])).
% 35.01/23.62 tff(27594,plain,
% 35.01/23.62 (v113(constB179)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27593, 542, 27590])).
% 35.01/23.62 tff(27595,assumption,(v26(constB179)), introduced(assumption)).
% 35.01/23.62 tff(27596,plain,
% 35.01/23.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB179))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27597,plain,
% 35.01/23.62 ($false),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27596, 120, 27595])).
% 35.01/23.62 tff(27598,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 35.01/23.62 tff(27599,plain,
% 35.01/23.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27600,plain,
% 35.01/23.62 ((v26(constB179) | (~v113(constB179)) | v112(constB179)) <=> (v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27601,plain,
% 35.01/23.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179))))),
% 35.01/23.62 inference(monotonicity,[status(thm)],[27600])).
% 35.01/23.62 tff(27602,plain,
% 35.01/23.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 35.01/23.62 inference(transitivity,[status(thm)],[27601, 27599])).
% 35.01/23.62 tff(27603,plain,
% 35.01/23.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27604,plain,
% 35.01/23.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179))),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27603, 27602])).
% 35.01/23.62 tff(27605,plain,
% 35.01/23.62 (v112(constB179) | (~v113(constB179))),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27604, 556, 27598])).
% 35.01/23.62 tff(27606,plain,
% 35.01/23.62 (v112(constB179)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27605, 27594])).
% 35.01/23.62 tff(27607,plain,
% 35.01/23.62 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB179) | (~v112(constB179)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB179) | (~v112(constB179)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27608,plain,
% 35.01/23.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB179) | (~v112(constB179)))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27609,plain,
% 35.01/23.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB179) | (~v112(constB179))),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27608, 27607])).
% 35.01/23.62 tff(27610,plain,
% 35.01/23.62 (v108(constB179)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27609, 568, 27606])).
% 35.01/23.62 tff(27611,plain,
% 35.01/23.62 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27612,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 35.01/23.62 tff(27613,plain,
% 35.01/23.62 (nextState(constB179, constB180)),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27612, 27611])).
% 35.01/23.62 tff(27614,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27615,plain,
% 35.01/23.62 (((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180)) <=> ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27616,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))))),
% 35.01/23.62 inference(monotonicity,[status(thm)],[27615])).
% 35.01/23.62 tff(27617,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 35.01/23.62 inference(transitivity,[status(thm)],[27616, 27614])).
% 35.01/23.62 tff(27618,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27619,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27618, 27617])).
% 35.01/23.62 tff(27620,plain,
% 35.01/23.62 (v110(constB180) | (~v108(constB179))),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27619, 585, 27613])).
% 35.01/23.62 tff(27621,plain,
% 35.01/23.62 (v110(constB180)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27620, 27610])).
% 35.01/23.62 tff(27622,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27623,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27624,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180))),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27623, 27622])).
% 35.01/23.62 tff(27625,plain,
% 35.01/23.62 (~v104(constB180)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27624, 603, 27613, 27493])).
% 35.01/23.62 tff(27626,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27627,plain,
% 35.01/23.62 (((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180)) <=> ((~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27628,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | v102(constB180)))),
% 35.01/23.62 inference(monotonicity,[status(thm)],[27627])).
% 35.01/23.62 tff(27629,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))),
% 35.01/23.62 inference(transitivity,[status(thm)],[27628, 27626])).
% 35.01/23.62 tff(27630,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27631,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | v102(constB180)),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27630, 27629])).
% 35.01/23.62 tff(27632,plain,
% 35.01/23.62 (v104(constB180) | v102(constB180)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27631, 617, 27613])).
% 35.01/23.62 tff(27633,plain,
% 35.01/23.62 (v102(constB180)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27632, 27625])).
% 35.01/23.62 tff(27634,plain,
% 35.01/23.62 (v1(constB180) <=> v1(constB180)),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27635,axiom,(v1(constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 35.01/23.62 tff(27636,plain,
% 35.01/23.62 (v1(constB180)),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27635, 27634])).
% 35.01/23.62 tff(27637,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27638,plain,
% 35.01/23.62 (((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180))) <=> ((~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27639,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180))))),
% 35.01/23.62 inference(monotonicity,[status(thm)],[27638])).
% 35.01/23.62 tff(27640,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))),
% 35.01/23.62 inference(transitivity,[status(thm)],[27639, 27637])).
% 35.01/23.62 tff(27641,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27642,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180))),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27641, 27640])).
% 35.01/23.62 tff(27643,plain,
% 35.01/23.62 (v101(constB180) | (~v102(constB180))),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27642, 638, 27613, 27636])).
% 35.01/23.62 tff(27644,plain,
% 35.01/23.62 (v101(constB180)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27643, 27633])).
% 35.01/23.62 tff(27645,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27646,plain,
% 35.01/23.62 (((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180)) <=> ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27647,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))))),
% 35.01/23.62 inference(monotonicity,[status(thm)],[27646])).
% 35.01/23.62 tff(27648,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 35.01/23.62 inference(transitivity,[status(thm)],[27647, 27645])).
% 35.01/23.62 tff(27649,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27650,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27649, 27648])).
% 35.01/23.62 tff(27651,plain,
% 35.01/23.62 (v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27650, 656, 27613])).
% 35.01/23.62 tff(27652,plain,
% 35.01/23.62 (v100(constB180) | (~v110(constB180))),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27651, 27644])).
% 35.01/23.62 tff(27653,plain,
% 35.01/23.62 (v100(constB180)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27652, 27621])).
% 35.01/23.62 tff(27654,plain,
% 35.01/23.62 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB179)) | v130(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB179)) | v130(constB179, bitIndex2))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27655,plain,
% 35.01/23.62 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB179)) | v130(constB179, bitIndex2))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27656,plain,
% 35.01/23.62 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB179)) | v130(constB179, bitIndex2)),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27655, 27654])).
% 35.01/23.62 tff(27657,plain,
% 35.01/23.62 (v130(constB179, bitIndex2)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27656, 2075, 27586])).
% 35.01/23.62 tff(27658,plain,
% 35.01/23.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27659,plain,
% 35.01/23.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27660,plain,
% 35.01/23.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2)),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27659, 27658])).
% 35.01/23.62 tff(27661,plain,
% 35.01/23.62 ((~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27660, 1592, 27598])).
% 35.01/23.62 tff(27662,plain,
% 35.01/23.62 (v127(constB179, bitIndex2)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27661, 27657])).
% 35.01/23.62 tff(27663,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27664,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27665,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2)),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27664, 27663])).
% 35.01/23.62 tff(27666,plain,
% 35.01/23.62 ((~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27665, 1607, 27613])).
% 35.01/23.62 tff(27667,plain,
% 35.01/23.62 (v129(constB180, bitIndex2)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27666, 27662])).
% 35.01/23.62 tff(27668,plain,
% 35.01/23.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27669,plain,
% 35.01/23.62 ((v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2))) <=> (v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27670,plain,
% 35.01/23.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180))))),
% 35.01/23.62 inference(monotonicity,[status(thm)],[27669])).
% 35.01/23.62 tff(27671,plain,
% 35.01/23.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))),
% 35.01/23.62 inference(transitivity,[status(thm)],[27670, 27668])).
% 35.01/23.62 tff(27672,plain,
% 35.01/23.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2)))),
% 35.01/23.62 inference(quant_inst,[status(thm)],[])).
% 35.01/23.62 tff(27673,plain,
% 35.01/23.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180))),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27672, 27671])).
% 35.01/23.62 tff(27674,plain,
% 35.01/23.62 (v90(constB180, bitIndex2) | (~v100(constB180))),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27673, 1622, 27667])).
% 35.01/23.62 tff(27675,plain,
% 35.01/23.62 (v90(constB180, bitIndex2)),
% 35.01/23.62 inference(unit_resolution,[status(thm)],[27674, 27653])).
% 35.01/23.62 tff(27676,plain,
% 35.01/23.62 ((~v1(constB181)) <=> (~v1(constB181))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27677,axiom,(~v1(constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 35.01/23.62 tff(27678,plain,
% 35.01/23.62 (~v1(constB181)),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27677, 27676])).
% 35.01/23.62 tff(27679,plain,
% 35.01/23.62 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27680,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 35.01/23.62 tff(27681,plain,
% 35.01/23.62 (nextState(constB180, constB181)),
% 35.01/23.62 inference(modus_ponens,[status(thm)],[27680, 27679])).
% 35.01/23.62 tff(27682,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27683,plain,
% 35.01/23.62 (((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 35.01/23.62 inference(rewrite,[status(thm)],[])).
% 35.01/23.62 tff(27684,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))))),
% 35.01/23.62 inference(monotonicity,[status(thm)],[27683])).
% 35.01/23.62 tff(27685,plain,
% 35.01/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 35.01/23.62 inference(transitivity,[status(thm)],[27684, 27682])).
% 35.01/23.62 tff(27686,plain,
% 35.01/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27687,plain,
% 35.01/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27686, 27685])).
% 35.01/23.63 tff(27688,plain,
% 35.01/23.63 (~v101(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27687, 381, 27681, 27678])).
% 35.01/23.63 tff(27689,plain,
% 35.01/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27690,plain,
% 35.01/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27691,plain,
% 35.01/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181))),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27690, 27689])).
% 35.01/23.63 tff(27692,plain,
% 35.01/23.63 (v101(constB181) | (~v100(constB181))),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27691, 398, 27681])).
% 35.01/23.63 tff(27693,plain,
% 35.01/23.63 (~v100(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27692, 27688])).
% 35.01/23.63 tff(27694,plain,
% 35.01/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27695,plain,
% 35.01/23.63 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2)) <=> ((~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27696,plain,
% 35.01/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2)))),
% 35.01/23.63 inference(monotonicity,[status(thm)],[27695])).
% 35.01/23.63 tff(27697,plain,
% 35.01/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))),
% 35.01/23.63 inference(transitivity,[status(thm)],[27696, 27694])).
% 35.01/23.63 tff(27698,plain,
% 35.01/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27699,plain,
% 35.01/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2)),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27698, 27697])).
% 35.01/23.63 tff(27700,plain,
% 35.01/23.63 ((~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27699, 1658, 27681])).
% 35.01/23.63 tff(27701,plain,
% 35.01/23.63 ((~v90(constB180, bitIndex2)) | v90(constB181, bitIndex2)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27700, 27693])).
% 35.01/23.63 tff(27702,plain,
% 35.01/23.63 (v90(constB181, bitIndex2)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27701, 27675])).
% 35.01/23.63 tff(27703,plain,
% 35.01/23.63 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v122(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v122(constB181)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27704,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v122(constB181)))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27705,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v122(constB181))),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27704, 27703])).
% 35.01/23.63 tff(27706,plain,
% 35.01/23.63 (~v122(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27705, 2131, 27702])).
% 35.01/23.63 tff(27707,plain,
% 35.01/23.63 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB179)) | v130(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB179)) | v130(constB179, bitIndex1))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27708,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB179)) | v130(constB179, bitIndex1))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27709,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB179)) | v130(constB179, bitIndex1)),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27708, 27707])).
% 35.01/23.63 tff(27710,plain,
% 35.01/23.63 (v130(constB179, bitIndex1)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27709, 2145, 27586])).
% 35.01/23.63 tff(27711,plain,
% 35.01/23.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27712,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27713,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27712, 27711])).
% 35.01/23.63 tff(27714,plain,
% 35.01/23.63 ((~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27713, 1101, 27598])).
% 35.01/23.63 tff(27715,plain,
% 35.01/23.63 (v127(constB179, bitIndex1)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27714, 27710])).
% 35.01/23.63 tff(27716,plain,
% 35.01/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27717,plain,
% 35.01/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27718,plain,
% 35.01/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27717, 27716])).
% 35.01/23.63 tff(27719,plain,
% 35.01/23.63 ((~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27718, 1116, 27613])).
% 35.01/23.63 tff(27720,plain,
% 35.01/23.63 (v129(constB180, bitIndex1)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27719, 27715])).
% 35.01/23.63 tff(27721,plain,
% 35.01/23.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27722,plain,
% 35.01/23.63 ((v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1))) <=> (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27723,plain,
% 35.01/23.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))))),
% 35.01/23.63 inference(monotonicity,[status(thm)],[27722])).
% 35.01/23.63 tff(27724,plain,
% 35.01/23.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 35.01/23.63 inference(transitivity,[status(thm)],[27723, 27721])).
% 35.01/23.63 tff(27725,plain,
% 35.01/23.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27726,plain,
% 35.01/23.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27725, 27724])).
% 35.01/23.63 tff(27727,plain,
% 35.01/23.63 (v90(constB180, bitIndex1) | (~v100(constB180))),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27726, 1131, 27720])).
% 35.01/23.63 tff(27728,plain,
% 35.01/23.63 (v90(constB180, bitIndex1)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27727, 27653])).
% 35.01/23.63 tff(27729,plain,
% 35.01/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27730,plain,
% 35.01/23.63 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)) <=> ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27731,plain,
% 35.01/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1)))),
% 35.01/23.63 inference(monotonicity,[status(thm)],[27730])).
% 35.01/23.63 tff(27732,plain,
% 35.01/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 35.01/23.63 inference(transitivity,[status(thm)],[27731, 27729])).
% 35.01/23.63 tff(27733,plain,
% 35.01/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27734,plain,
% 35.01/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1)),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27733, 27732])).
% 35.01/23.63 tff(27735,plain,
% 35.01/23.63 ((~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27734, 1149, 27681])).
% 35.01/23.63 tff(27736,plain,
% 35.01/23.63 ((~v90(constB180, bitIndex1)) | v90(constB181, bitIndex1)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27735, 27693])).
% 35.01/23.63 tff(27737,plain,
% 35.01/23.63 (v90(constB181, bitIndex1)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27736, 27728])).
% 35.01/23.63 tff(27738,plain,
% 35.01/23.63 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v120(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v120(constB181)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27739,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v120(constB181)))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27740,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v120(constB181))),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27739, 27738])).
% 35.01/23.63 tff(27741,plain,
% 35.01/23.63 (~v120(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27740, 2183, 27737])).
% 35.01/23.63 tff(27742,plain,
% 35.01/23.63 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v123(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v123(constB181)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27743,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v123(constB181)))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27744,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v123(constB181))),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27743, 27742])).
% 35.01/23.63 tff(27745,plain,
% 35.01/23.63 (~v123(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27744, 2194, 27737])).
% 35.01/23.63 tff(27746,plain,
% 35.01/23.63 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v124(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v124(constB181)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27747,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v124(constB181)))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27748,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v124(constB181))),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27747, 27746])).
% 35.01/23.63 tff(27749,plain,
% 35.01/23.63 (~v124(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27748, 2205, 27737])).
% 35.01/23.63 tff(27750,plain,
% 35.01/23.63 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v121(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v121(constB181)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27751,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v121(constB181)))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27752,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v121(constB181))),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27751, 27750])).
% 35.01/23.63 tff(27753,plain,
% 35.01/23.63 (~v121(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27752, 2216, 27702])).
% 35.01/23.63 tff(27754,plain,
% 35.01/23.63 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB181)) | (~v90(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB181)) | (~v90(constB181, bitIndex1)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27755,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB181)) | (~v90(constB181, bitIndex1)))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27756,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB181)) | (~v90(constB181, bitIndex1))),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27755, 27754])).
% 35.01/23.63 tff(27757,plain,
% 35.01/23.63 (~v119(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27756, 2230, 27737])).
% 35.01/23.63 tff(27758,plain,
% 35.01/23.63 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex2)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27759,plain,
% 35.01/23.63 ((v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2))) <=> (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex2)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27760,plain,
% 35.01/23.63 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex2))))),
% 35.01/23.63 inference(monotonicity,[status(thm)],[27759])).
% 35.01/23.63 tff(27761,plain,
% 35.01/23.63 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex2)))),
% 35.01/23.63 inference(transitivity,[status(thm)],[27760, 27758])).
% 35.01/23.63 tff(27762,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2)))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27763,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex2))),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27762, 27761])).
% 35.01/23.63 tff(27764,plain,
% 35.01/23.63 (~v130(constB181, bitIndex2)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27763, 2244, 27757, 27753, 27749, 27745, 27741, 27706])).
% 35.01/23.63 tff(27765,assumption,(v26(constB180)), introduced(assumption)).
% 35.01/23.63 tff(27766,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB180))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27767,plain,
% 35.01/23.63 ($false),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27766, 120, 27765])).
% 35.01/23.63 tff(27768,plain,(~v26(constB180)), inference(lemma,lemma(discharge,[]))).
% 35.01/23.63 tff(27769,plain,
% 35.01/23.63 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB180, constB181)) | v26(constB180) | (~v66(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB180, constB181)) | v26(constB180) | (~v66(constB181)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27770,plain,
% 35.01/23.63 ((v26(constB180) | (~nextState(constB180, constB181)) | (~v66(constB181))) <=> ((~nextState(constB180, constB181)) | v26(constB180) | (~v66(constB181)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27771,plain,
% 35.01/23.63 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB180) | (~nextState(constB180, constB181)) | (~v66(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB180, constB181)) | v26(constB180) | (~v66(constB181))))),
% 35.01/23.63 inference(monotonicity,[status(thm)],[27770])).
% 35.01/23.63 tff(27772,plain,
% 35.01/23.63 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB180) | (~nextState(constB180, constB181)) | (~v66(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB180, constB181)) | v26(constB180) | (~v66(constB181)))),
% 35.01/23.63 inference(transitivity,[status(thm)],[27771, 27769])).
% 35.01/23.63 tff(27773,plain,
% 35.01/23.63 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB180) | (~nextState(constB180, constB181)) | (~v66(constB181)))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27774,plain,
% 35.01/23.63 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB180, constB181)) | v26(constB180) | (~v66(constB181))),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27773, 27772])).
% 35.01/23.63 tff(27775,plain,
% 35.01/23.63 (v26(constB180) | (~v66(constB181))),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27774, 260, 27681])).
% 35.01/23.63 tff(27776,plain,
% 35.01/23.63 (~v66(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27775, 27768])).
% 35.01/23.63 tff(27777,assumption,(v18(constB182)), introduced(assumption)).
% 35.01/23.63 tff(27778,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB182))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27779,plain,
% 35.01/23.63 ($false),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27778, 8, 27777])).
% 35.01/23.63 tff(27780,plain,(~v18(constB182)), inference(lemma,lemma(discharge,[]))).
% 35.01/23.63 tff(27781,plain,
% 35.01/23.63 (v1(constB182) <=> v1(constB182)),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27782,axiom,(v1(constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 35.01/23.63 tff(27783,plain,
% 35.01/23.63 (v1(constB182)),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27782, 27781])).
% 35.01/23.63 tff(27784,plain,
% 35.01/23.63 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27785,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27786,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182))),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27785, 27784])).
% 35.01/23.63 tff(27787,plain,
% 35.01/23.63 (v22(constB182)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27786, 21, 27783])).
% 35.01/23.63 tff(27788,plain,
% 35.01/23.63 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB182)) | (~v22(constB182)) | v18(constB182))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB182)) | (~v22(constB182)) | v18(constB182))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27789,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB182)) | (~v22(constB182)) | v18(constB182))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27790,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB182)) | (~v22(constB182)) | v18(constB182)),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27789, 27788])).
% 35.01/23.63 tff(27791,plain,
% 35.01/23.63 ((~v19(constB182)) | v18(constB182)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27790, 35, 27787])).
% 35.01/23.63 tff(27792,plain,
% 35.01/23.63 (~v19(constB182)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27791, 27780])).
% 35.01/23.63 tff(27793,plain,
% 35.01/23.63 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27794,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27795,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182)),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27794, 27793])).
% 35.01/23.63 tff(27796,plain,
% 35.01/23.63 (v13(constB182)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27795, 50, 27792])).
% 35.01/23.63 tff(27797,plain,
% 35.01/23.63 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27798,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 35.01/23.63 tff(27799,plain,
% 35.01/23.63 (nextState(constB181, constB182)),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27798, 27797])).
% 35.01/23.63 tff(27800,plain,
% 35.01/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27801,plain,
% 35.01/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27802,plain,
% 35.01/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181)),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27801, 27800])).
% 35.01/23.63 tff(27803,plain,
% 35.01/23.63 ((~v13(constB182)) | v9(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27802, 67, 27799])).
% 35.01/23.63 tff(27804,plain,
% 35.01/23.63 (v9(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27803, 27796])).
% 35.01/23.63 tff(27805,plain,
% 35.01/23.63 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB181) | v64(constB181) | (~v9(constB181)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB181) | v64(constB181) | (~v9(constB181)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27806,plain,
% 35.01/23.63 ((v1(constB181) | (~v9(constB181)) | v64(constB181)) <=> (v1(constB181) | v64(constB181) | (~v9(constB181)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27807,plain,
% 35.01/23.63 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v64(constB181))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB181) | v64(constB181) | (~v9(constB181))))),
% 35.01/23.63 inference(monotonicity,[status(thm)],[27806])).
% 35.01/23.63 tff(27808,plain,
% 35.01/23.63 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v64(constB181))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB181) | v64(constB181) | (~v9(constB181)))),
% 35.01/23.63 inference(transitivity,[status(thm)],[27807, 27805])).
% 35.01/23.63 tff(27809,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v64(constB181))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27810,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB181) | v64(constB181) | (~v9(constB181))),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27809, 27808])).
% 35.01/23.63 tff(27811,plain,
% 35.01/23.63 (v64(constB181) | (~v9(constB181))),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27810, 278, 27678])).
% 35.01/23.63 tff(27812,plain,
% 35.01/23.63 (v64(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27811, 27804])).
% 35.01/23.63 tff(27813,plain,
% 35.01/23.63 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB181)) | v66(constB181) | (~v64(constB181)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB181)) | v66(constB181) | (~v64(constB181)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27814,plain,
% 35.01/23.63 (((~v64(constB181)) | (~v60(constB181)) | v66(constB181)) <=> ((~v60(constB181)) | v66(constB181) | (~v64(constB181)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27815,plain,
% 35.01/23.63 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB181)) | (~v60(constB181)) | v66(constB181))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB181)) | v66(constB181) | (~v64(constB181))))),
% 35.01/23.63 inference(monotonicity,[status(thm)],[27814])).
% 35.01/23.63 tff(27816,plain,
% 35.01/23.63 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB181)) | (~v60(constB181)) | v66(constB181))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB181)) | v66(constB181) | (~v64(constB181)))),
% 35.01/23.63 inference(transitivity,[status(thm)],[27815, 27813])).
% 35.01/23.63 tff(27817,plain,
% 35.01/23.63 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB181)) | (~v60(constB181)) | v66(constB181))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27818,plain,
% 35.01/23.63 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB181)) | v66(constB181) | (~v64(constB181))),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27817, 27816])).
% 35.01/23.63 tff(27819,plain,
% 35.01/23.63 ((~v60(constB181)) | v66(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27818, 296, 27812])).
% 35.01/23.63 tff(27820,plain,
% 35.01/23.63 (~v60(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27819, 27776])).
% 35.01/23.63 tff(27821,assumption,(v71(constB181)), introduced(assumption)).
% 35.01/23.63 tff(27822,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB181))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27823,plain,
% 35.01/23.63 ($false),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27822, 136, 27821])).
% 35.01/23.63 tff(27824,plain,(~v71(constB181)), inference(lemma,lemma(discharge,[]))).
% 35.01/23.63 tff(27825,plain,
% 35.01/23.63 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB181) | (~v9(constB181)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB181) | (~v9(constB181)))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27826,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB181) | (~v9(constB181)))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27827,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB181) | (~v9(constB181))),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27826, 27825])).
% 35.01/23.63 tff(27828,plain,
% 35.01/23.63 (v80(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27827, 174, 27804])).
% 35.01/23.63 tff(27829,plain,
% 35.01/23.63 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB181) | v78(constB181))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB181) | v78(constB181))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27830,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB181) | v78(constB181))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27831,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB181) | v78(constB181)),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27830, 27829])).
% 35.01/23.63 tff(27832,plain,
% 35.01/23.63 (v78(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27831, 191, 27678])).
% 35.01/23.63 tff(27833,plain,
% 35.01/23.63 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB181)) | (~v80(constB181)) | v76(constB181))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB181)) | (~v80(constB181)) | v76(constB181))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27834,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB181)) | (~v80(constB181)) | v76(constB181))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27835,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB181)) | (~v80(constB181)) | v76(constB181)),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27834, 27833])).
% 35.01/23.63 tff(27836,plain,
% 35.01/23.63 ((~v80(constB181)) | v76(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27835, 205, 27832])).
% 35.01/23.63 tff(27837,plain,
% 35.01/23.63 (v76(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27836, 27828])).
% 35.01/23.63 tff(27838,plain,
% 35.01/23.63 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB181)) | (~v76(constB181)) | v71(constB181))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB181)) | (~v76(constB181)) | v71(constB181))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27839,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB181)) | (~v76(constB181)) | v71(constB181))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27840,plain,
% 35.01/23.63 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB181)) | (~v76(constB181)) | v71(constB181)),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27839, 27838])).
% 35.01/23.63 tff(27841,plain,
% 35.01/23.63 ((~v72(constB181)) | v71(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27840, 220, 27837])).
% 35.01/23.63 tff(27842,plain,
% 35.01/23.63 (~v72(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27841, 27824])).
% 35.01/23.63 tff(27843,plain,
% 35.01/23.63 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB181) | v72(constB181) | v74(constB181))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB181) | v72(constB181) | v74(constB181))),
% 35.01/23.63 inference(rewrite,[status(thm)],[])).
% 35.01/23.63 tff(27844,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB181) | v72(constB181) | v74(constB181))),
% 35.01/23.63 inference(quant_inst,[status(thm)],[])).
% 35.01/23.63 tff(27845,plain,
% 35.01/23.63 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB181) | v72(constB181) | v74(constB181)),
% 35.01/23.63 inference(modus_ponens,[status(thm)],[27844, 27843])).
% 35.01/23.63 tff(27846,plain,
% 35.01/23.63 (v72(constB181) | v74(constB181)),
% 35.01/23.63 inference(unit_resolution,[status(thm)],[27845, 238, 27678])).
% 35.01/23.64 tff(27847,plain,
% 35.01/23.64 (v74(constB181)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27846, 27842])).
% 35.01/23.64 tff(27848,plain,
% 35.01/23.64 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB181) | (~v26(constB181)) | (~v74(constB181)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB181) | (~v26(constB181)) | (~v74(constB181)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27849,plain,
% 35.01/23.64 (((~v26(constB181)) | v60(constB181) | (~v74(constB181))) <=> (v60(constB181) | (~v26(constB181)) | (~v74(constB181)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27850,plain,
% 35.01/23.64 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB181)) | v60(constB181) | (~v74(constB181)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB181) | (~v26(constB181)) | (~v74(constB181))))),
% 35.01/23.64 inference(monotonicity,[status(thm)],[27849])).
% 35.01/23.64 tff(27851,plain,
% 35.01/23.64 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB181)) | v60(constB181) | (~v74(constB181)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB181) | (~v26(constB181)) | (~v74(constB181)))),
% 35.01/23.64 inference(transitivity,[status(thm)],[27850, 27848])).
% 35.01/23.64 tff(27852,plain,
% 35.01/23.64 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB181)) | v60(constB181) | (~v74(constB181)))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27853,plain,
% 35.01/23.64 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB181) | (~v26(constB181)) | (~v74(constB181))),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27852, 27851])).
% 35.01/23.64 tff(27854,plain,
% 35.01/23.64 (v60(constB181) | (~v26(constB181))),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27853, 314, 27847])).
% 35.01/23.64 tff(27855,plain,
% 35.01/23.64 (~v26(constB181)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27854, 27820])).
% 35.01/23.64 tff(27856,plain,
% 35.01/23.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27857,plain,
% 35.01/23.64 ((v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2))) <=> ((~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27858,plain,
% 35.01/23.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2)))),
% 35.01/23.64 inference(monotonicity,[status(thm)],[27857])).
% 35.01/23.64 tff(27859,plain,
% 35.01/23.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))),
% 35.01/23.64 inference(transitivity,[status(thm)],[27858, 27856])).
% 35.01/23.64 tff(27860,plain,
% 35.01/23.64 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2)))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27861,plain,
% 35.01/23.64 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2)),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27860, 27859])).
% 35.01/23.64 tff(27862,plain,
% 35.01/23.64 ((~v127(constB181, bitIndex2)) | v130(constB181, bitIndex2)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27861, 689, 27855])).
% 35.01/23.64 tff(27863,plain,
% 35.01/23.64 (~v127(constB181, bitIndex2)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27862, 27764])).
% 35.01/23.64 tff(27864,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27865,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2)))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27866,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2))),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27865, 27864])).
% 35.01/23.64 tff(27867,plain,
% 35.01/23.64 (v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2))),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27866, 707, 27799])).
% 35.01/23.64 tff(27868,plain,
% 35.01/23.64 (~v129(constB182, bitIndex2)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27867, 27863])).
% 35.01/23.64 tff(27869,plain,
% 35.01/23.64 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB179)) | (~v130(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB179)) | (~v130(constB179, bitIndex0)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27870,plain,
% 35.01/23.64 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB179)) | (~v130(constB179, bitIndex0)))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27871,plain,
% 35.01/23.64 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB179)) | (~v130(constB179, bitIndex0))),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27870, 27869])).
% 35.01/23.64 tff(27872,plain,
% 35.01/23.64 (~v130(constB179, bitIndex0)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27871, 2277, 27586])).
% 35.01/23.64 tff(27873,plain,
% 35.01/23.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27874,plain,
% 35.01/23.64 ((v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0))) <=> ((~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27875,plain,
% 35.01/23.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0)))),
% 35.01/23.64 inference(monotonicity,[status(thm)],[27874])).
% 35.01/23.64 tff(27876,plain,
% 35.01/23.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))),
% 35.01/23.64 inference(transitivity,[status(thm)],[27875, 27873])).
% 35.01/23.64 tff(27877,plain,
% 35.01/23.64 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0)))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27878,plain,
% 35.01/23.64 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0)),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27877, 27876])).
% 35.01/23.64 tff(27879,plain,
% 35.01/23.64 ((~v127(constB179, bitIndex0)) | v130(constB179, bitIndex0)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27878, 1182, 27598])).
% 35.01/23.64 tff(27880,plain,
% 35.01/23.64 (~v127(constB179, bitIndex0)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27879, 27872])).
% 35.01/23.64 tff(27881,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27882,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0)))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27883,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0))),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27882, 27881])).
% 35.01/23.64 tff(27884,plain,
% 35.01/23.64 (v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0))),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27883, 1200, 27613])).
% 35.01/23.64 tff(27885,plain,
% 35.01/23.64 (~v129(constB180, bitIndex0)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27884, 27880])).
% 35.01/23.64 tff(27886,plain,
% 35.01/23.64 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27887,plain,
% 35.01/23.64 (((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0)) <=> ((~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27888,plain,
% 35.01/23.64 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180))))),
% 35.01/23.64 inference(monotonicity,[status(thm)],[27887])).
% 35.01/23.64 tff(27889,plain,
% 35.01/23.64 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))),
% 35.01/23.64 inference(transitivity,[status(thm)],[27888, 27886])).
% 35.01/23.64 tff(27890,plain,
% 35.01/23.64 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27891,plain,
% 35.01/23.64 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180))),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27890, 27889])).
% 35.01/23.64 tff(27892,plain,
% 35.01/23.64 ((~v90(constB180, bitIndex0)) | (~v100(constB180))),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27891, 1215, 27885])).
% 35.01/23.64 tff(27893,plain,
% 35.01/23.64 (~v90(constB180, bitIndex0)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27892, 27653])).
% 35.01/23.64 tff(27894,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27895,plain,
% 35.01/23.64 (((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0))) <=> (v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27896,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0))))),
% 35.01/23.64 inference(monotonicity,[status(thm)],[27895])).
% 35.01/23.64 tff(27897,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 35.01/23.64 inference(transitivity,[status(thm)],[27896, 27894])).
% 35.01/23.64 tff(27898,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27899,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0))),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27898, 27897])).
% 35.01/23.64 tff(27900,plain,
% 35.01/23.64 (v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0))),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27899, 455, 27681])).
% 35.01/23.64 tff(27901,plain,
% 35.01/23.64 (v90(constB180, bitIndex0) | (~v90(constB181, bitIndex0))),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27900, 27693])).
% 35.01/23.64 tff(27902,plain,
% 35.01/23.64 (~v90(constB181, bitIndex0)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27901, 27893])).
% 35.01/23.64 tff(27903,assumption,(~v100(constB182)), introduced(assumption)).
% 35.01/23.64 tff(27904,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27905,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27906,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182))),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27905, 27904])).
% 35.01/23.64 tff(27907,plain,
% 35.01/23.64 (~v104(constB182)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27906, 603, 27799, 27678])).
% 35.01/23.64 tff(27908,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27909,plain,
% 35.01/23.64 (((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182)) <=> ((~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27910,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | v102(constB182)))),
% 35.01/23.64 inference(monotonicity,[status(thm)],[27909])).
% 35.01/23.64 tff(27911,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))),
% 35.01/23.64 inference(transitivity,[status(thm)],[27910, 27908])).
% 35.01/23.64 tff(27912,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27913,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | v102(constB182)),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27912, 27911])).
% 35.01/23.64 tff(27914,plain,
% 35.01/23.64 (v104(constB182) | v102(constB182)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27913, 617, 27799])).
% 35.01/23.64 tff(27915,plain,
% 35.01/23.64 (v102(constB182)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27914, 27907])).
% 35.01/23.64 tff(27916,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27917,plain,
% 35.01/23.64 (((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182))) <=> ((~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27918,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182))))),
% 35.01/23.64 inference(monotonicity,[status(thm)],[27917])).
% 35.01/23.64 tff(27919,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))),
% 35.01/23.64 inference(transitivity,[status(thm)],[27918, 27916])).
% 35.01/23.64 tff(27920,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27921,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182))),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27920, 27919])).
% 35.01/23.64 tff(27922,plain,
% 35.01/23.64 (v101(constB182) | (~v102(constB182))),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27921, 638, 27799, 27783])).
% 35.01/23.64 tff(27923,plain,
% 35.01/23.64 (v101(constB182)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27922, 27915])).
% 35.01/23.64 tff(27924,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27925,plain,
% 35.01/23.64 (((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182)) <=> ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27926,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))))),
% 35.01/23.64 inference(monotonicity,[status(thm)],[27925])).
% 35.01/23.64 tff(27927,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 35.01/23.64 inference(transitivity,[status(thm)],[27926, 27924])).
% 35.01/23.64 tff(27928,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27929,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27928, 27927])).
% 35.01/23.64 tff(27930,plain,
% 35.01/23.64 (v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27929, 656, 27799])).
% 35.01/23.64 tff(27931,plain,
% 35.01/23.64 (v100(constB182) | (~v110(constB182))),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27930, 27923])).
% 35.01/23.64 tff(27932,plain,
% 35.01/23.64 (~v110(constB182)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27931, 27903])).
% 35.01/23.64 tff(27933,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27934,plain,
% 35.01/23.64 (((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182)) <=> ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27935,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))))),
% 35.01/23.64 inference(monotonicity,[status(thm)],[27934])).
% 35.01/23.64 tff(27936,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 35.01/23.64 inference(transitivity,[status(thm)],[27935, 27933])).
% 35.01/23.64 tff(27937,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27938,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27937, 27936])).
% 35.01/23.64 tff(27939,plain,
% 35.01/23.64 (v110(constB182) | (~v108(constB181))),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27938, 585, 27799])).
% 35.01/23.64 tff(27940,plain,
% 35.01/23.64 (~v108(constB181)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27939, 27932])).
% 35.01/23.64 tff(27941,plain,
% 35.01/23.64 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB181) | (~v112(constB181)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27942,plain,
% 35.01/23.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB181) | (~v112(constB181)))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27943,plain,
% 35.01/23.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB181) | (~v112(constB181))),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27942, 27941])).
% 35.01/23.64 tff(27944,plain,
% 35.01/23.64 (~v112(constB181)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27943, 568, 27940])).
% 35.01/23.64 tff(27945,plain,
% 35.01/23.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27946,plain,
% 35.01/23.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27947,plain,
% 35.01/23.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | (~v113(constB181)) | v112(constB181)),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27946, 27945])).
% 35.01/23.64 tff(27948,plain,
% 35.01/23.64 ((~v113(constB181)) | v112(constB181)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27947, 556, 27855])).
% 35.01/23.64 tff(27949,plain,
% 35.01/23.64 (~v113(constB181)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27948, 27944])).
% 35.01/23.64 tff(27950,plain,
% 35.01/23.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB181) | (~v114(constB181)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB181) | (~v114(constB181)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27951,plain,
% 35.01/23.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB181) | (~v114(constB181)))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27952,plain,
% 35.01/23.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB181) | (~v114(constB181))),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27951, 27950])).
% 35.01/23.64 tff(27953,plain,
% 35.01/23.64 (~v114(constB181)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27952, 542, 27949])).
% 35.01/23.64 tff(27954,assumption,(~v90(constB181, bitIndex0)), introduced(assumption)).
% 35.01/23.64 tff(27955,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB181, bitIndex0) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB181, bitIndex0) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex0)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27956,plain,
% 35.01/23.64 (((~nextState(constB181, constB182)) | v90(constB181, bitIndex0) | v100(constB182) | (~v90(constB182, bitIndex0))) <=> (v90(constB181, bitIndex0) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex0)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27957,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB181, constB182)) | v90(constB181, bitIndex0) | v100(constB182) | (~v90(constB182, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB181, bitIndex0) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex0))))),
% 35.01/23.64 inference(monotonicity,[status(thm)],[27956])).
% 35.01/23.64 tff(27958,plain,
% 35.01/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB181, constB182)) | v90(constB181, bitIndex0) | v100(constB182) | (~v90(constB182, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB181, bitIndex0) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex0)))),
% 35.01/23.64 inference(transitivity,[status(thm)],[27957, 27955])).
% 35.01/23.64 tff(27959,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB181, constB182)) | v90(constB181, bitIndex0) | v100(constB182) | (~v90(constB182, bitIndex0)))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27960,plain,
% 35.01/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB181, bitIndex0) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex0))),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27959, 27958])).
% 35.01/23.64 tff(27961,plain,
% 35.01/23.64 (v90(constB181, bitIndex0) | v100(constB182) | (~v90(constB182, bitIndex0))),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27960, 455, 27799])).
% 35.01/23.64 tff(27962,plain,
% 35.01/23.64 (~v90(constB182, bitIndex0)),
% 35.01/23.64 inference(unit_resolution,[status(thm)],[27961, 27903, 27954])).
% 35.01/23.64 tff(27963,assumption,(~v90(constB182, bitIndex0)), introduced(assumption)).
% 35.01/23.64 tff(27964,assumption,(~v113(constB181)), introduced(assumption)).
% 35.01/23.64 tff(27965,plain,
% 35.01/23.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB181) | (~v112(constB181)))),
% 35.01/23.64 inference(rewrite,[status(thm)],[])).
% 35.01/23.64 tff(27966,plain,
% 35.01/23.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB181) | (~v112(constB181)))),
% 35.01/23.64 inference(quant_inst,[status(thm)],[])).
% 35.01/23.64 tff(27967,plain,
% 35.01/23.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB181) | (~v112(constB181))),
% 35.01/23.64 inference(modus_ponens,[status(thm)],[27966, 27965])).
% 35.01/23.64 tff(27968,plain,
% 35.01/23.65 (~v112(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[27967, 22982, 27964])).
% 35.01/23.65 tff(27969,plain,
% 35.01/23.65 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB181)) | v26(constB181) | v112(constB181))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB181)) | v26(constB181) | v112(constB181))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(27970,plain,
% 35.01/23.65 ((v26(constB181) | v112(constB181) | (~v108(constB181))) <=> ((~v108(constB181)) | v26(constB181) | v112(constB181))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(27971,plain,
% 35.01/23.65 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB181) | v112(constB181) | (~v108(constB181)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB181)) | v26(constB181) | v112(constB181)))),
% 35.01/23.65 inference(monotonicity,[status(thm)],[27970])).
% 35.01/23.65 tff(27972,plain,
% 35.01/23.65 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB181) | v112(constB181) | (~v108(constB181)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB181)) | v26(constB181) | v112(constB181))),
% 35.01/23.65 inference(transitivity,[status(thm)],[27971, 27969])).
% 35.01/23.65 tff(27973,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB181) | v112(constB181) | (~v108(constB181)))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(27974,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB181)) | v26(constB181) | v112(constB181)),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[27973, 27972])).
% 35.01/23.65 tff(27975,plain,
% 35.01/23.65 ((~v108(constB181)) | v112(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[27974, 22967, 27855])).
% 35.01/23.65 tff(27976,plain,
% 35.01/23.65 (~v108(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[27975, 27968])).
% 35.01/23.65 tff(27977,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB181, constB182)) | (~v110(constB182)) | v108(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB181, constB182)) | (~v110(constB182)) | v108(constB181))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(27978,plain,
% 35.01/23.65 (((~nextState(constB181, constB182)) | v108(constB181) | (~v110(constB182))) <=> ((~nextState(constB181, constB182)) | (~v110(constB182)) | v108(constB181))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(27979,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB181, constB182)) | v108(constB181) | (~v110(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB181, constB182)) | (~v110(constB182)) | v108(constB181)))),
% 35.01/23.65 inference(monotonicity,[status(thm)],[27978])).
% 35.01/23.65 tff(27980,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB181, constB182)) | v108(constB181) | (~v110(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB181, constB182)) | (~v110(constB182)) | v108(constB181))),
% 35.01/23.65 inference(transitivity,[status(thm)],[27979, 27977])).
% 35.01/23.65 tff(27981,plain,
% 35.01/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB181, constB182)) | v108(constB181) | (~v110(constB182)))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(27982,plain,
% 35.01/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB181, constB182)) | (~v110(constB182)) | v108(constB181)),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[27981, 27980])).
% 35.01/23.65 tff(27983,plain,
% 35.01/23.65 ((~v110(constB182)) | v108(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[27982, 21374, 27799])).
% 35.01/23.65 tff(27984,plain,
% 35.01/23.65 (~v110(constB182)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[27983, 27976])).
% 35.01/23.65 tff(27985,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v100(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v100(constB182)))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(27986,plain,
% 35.01/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v100(constB182)))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(27987,plain,
% 35.01/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v100(constB182))),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[27986, 27985])).
% 35.01/23.65 tff(27988,plain,
% 35.01/23.65 (v110(constB182) | (~v100(constB182))),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[27987, 21392, 27799])).
% 35.01/23.65 tff(27989,plain,
% 35.01/23.65 (~v100(constB182)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[27988, 27984])).
% 35.01/23.65 tff(27990,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB181, bitIndex0)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB181, bitIndex0)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex0))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(27991,plain,
% 35.01/23.65 (((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex0)) | v100(constB182) | v90(constB182, bitIndex0)) <=> ((~v90(constB181, bitIndex0)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex0))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(27992,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex0)) | v100(constB182) | v90(constB182, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB181, bitIndex0)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex0)))),
% 35.01/23.65 inference(monotonicity,[status(thm)],[27991])).
% 35.01/23.65 tff(27993,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex0)) | v100(constB182) | v90(constB182, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB181, bitIndex0)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex0))),
% 35.01/23.65 inference(transitivity,[status(thm)],[27992, 27990])).
% 35.01/23.65 tff(27994,plain,
% 35.01/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex0)) | v100(constB182) | v90(constB182, bitIndex0))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(27995,plain,
% 35.01/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB181, bitIndex0)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex0)),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[27994, 27993])).
% 35.01/23.65 tff(27996,plain,
% 35.01/23.65 ((~v90(constB181, bitIndex0)) | v100(constB182) | v90(constB182, bitIndex0)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[27995, 903, 27799])).
% 35.01/23.65 tff(27997,plain,
% 35.01/23.65 (~v90(constB181, bitIndex0)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[27996, 27989, 27963])).
% 35.01/23.65 tff(27998,assumption,(v119(constB181)), introduced(assumption)).
% 35.01/23.65 tff(27999,plain,
% 35.01/23.65 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB181) | (~v119(constB181)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB181) | (~v119(constB181)))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28000,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB181) | (~v119(constB181)))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28001,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB181) | (~v119(constB181))),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[28000, 27999])).
% 35.01/23.65 tff(28002,plain,
% 35.01/23.65 (v118(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28001, 487, 27998])).
% 35.01/23.65 tff(28003,plain,
% 35.01/23.65 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB181) | (~v118(constB181)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB181) | (~v118(constB181)))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28004,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB181) | (~v118(constB181)))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28005,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB181) | (~v118(constB181))),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[28004, 28003])).
% 35.01/23.65 tff(28006,plain,
% 35.01/23.65 (v117(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28005, 498, 28002])).
% 35.01/23.65 tff(28007,plain,
% 35.01/23.65 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB181) | (~v117(constB181)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB181) | (~v117(constB181)))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28008,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB181) | (~v117(constB181)))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28009,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB181) | (~v117(constB181))),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[28008, 28007])).
% 35.01/23.65 tff(28010,plain,
% 35.01/23.65 (v116(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28009, 509, 28006])).
% 35.01/23.65 tff(28011,plain,
% 35.01/23.65 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB181) | (~v116(constB181)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB181) | (~v116(constB181)))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28012,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB181) | (~v116(constB181)))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28013,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB181) | (~v116(constB181))),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[28012, 28011])).
% 35.01/23.65 tff(28014,plain,
% 35.01/23.65 (v115(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28013, 520, 28010])).
% 35.01/23.65 tff(28015,plain,
% 35.01/23.65 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB181)) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB181)) | v130(constB181, bitIndex0))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28016,plain,
% 35.01/23.65 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB181)) | v130(constB181, bitIndex0))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28017,plain,
% 35.01/23.65 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB181)) | v130(constB181, bitIndex0)),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[28016, 28015])).
% 35.01/23.65 tff(28018,plain,
% 35.01/23.65 (v130(constB181, bitIndex0)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28017, 841, 27998])).
% 35.01/23.65 tff(28019,plain,
% 35.01/23.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28020,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28021,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0)),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[28020, 28019])).
% 35.01/23.65 tff(28022,plain,
% 35.01/23.65 ((~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28021, 855, 27855])).
% 35.01/23.65 tff(28023,plain,
% 35.01/23.65 (v127(constB181, bitIndex0)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28022, 28018])).
% 35.01/23.65 tff(28024,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28025,plain,
% 35.01/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28026,plain,
% 35.01/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0)),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[28025, 28024])).
% 35.01/23.65 tff(28027,plain,
% 35.01/23.65 ((~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28026, 870, 27799])).
% 35.01/23.65 tff(28028,plain,
% 35.01/23.65 (v129(constB182, bitIndex0)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28027, 28023])).
% 35.01/23.65 tff(28029,plain,
% 35.01/23.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28030,plain,
% 35.01/23.65 ((v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0))) <=> (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28031,plain,
% 35.01/23.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182))))),
% 35.01/23.65 inference(monotonicity,[status(thm)],[28030])).
% 35.01/23.65 tff(28032,plain,
% 35.01/23.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 35.01/23.65 inference(transitivity,[status(thm)],[28031, 28029])).
% 35.01/23.65 tff(28033,plain,
% 35.01/23.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28034,plain,
% 35.01/23.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182))),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[28033, 28032])).
% 35.01/23.65 tff(28035,plain,
% 35.01/23.65 ((~v129(constB182, bitIndex0)) | (~v100(constB182))),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28034, 885, 27963])).
% 35.01/23.65 tff(28036,plain,
% 35.01/23.65 (~v100(constB182)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28035, 28028])).
% 35.01/23.65 tff(28037,plain,
% 35.01/23.65 (~v110(constB182)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[27931, 28036])).
% 35.01/23.65 tff(28038,plain,
% 35.01/23.65 (~v108(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[27939, 28037])).
% 35.01/23.65 tff(28039,plain,
% 35.01/23.65 (~v112(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[27943, 568, 28038])).
% 35.01/23.65 tff(28040,plain,
% 35.01/23.65 (~v113(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[27948, 28039])).
% 35.01/23.65 tff(28041,plain,
% 35.01/23.65 (~v114(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[27952, 542, 28040])).
% 35.01/23.65 tff(28042,plain,
% 35.01/23.65 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB181) | (~v115(constB181)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB181) | (~v115(constB181)))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28043,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB181) | (~v115(constB181)))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28044,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB181) | (~v115(constB181))),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[28043, 28042])).
% 35.01/23.65 tff(28045,plain,
% 35.01/23.65 ($false),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28044, 531, 28041, 28014])).
% 35.01/23.65 tff(28046,plain,((~v119(constB181)) | v90(constB182, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 35.01/23.65 tff(28047,plain,
% 35.01/23.65 (~v119(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28046, 27963])).
% 35.01/23.65 tff(28048,assumption,(~v90(constB181, bitIndex2)), introduced(assumption)).
% 35.01/23.65 tff(28049,plain,
% 35.01/23.65 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB181) | v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB181) | v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28050,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB181) | v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28051,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB181) | v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2)),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[28050, 28049])).
% 35.01/23.65 tff(28052,plain,
% 35.01/23.65 (v119(constB181) | v90(constB181, bitIndex0) | v90(constB181, bitIndex1)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28051, 476, 28048])).
% 35.01/23.65 tff(28053,plain,
% 35.01/23.65 (v90(constB181, bitIndex1)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28052, 27997, 28047])).
% 35.01/23.65 tff(28054,plain,
% 35.01/23.65 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v121(constB181))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v121(constB181))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28055,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v121(constB181))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28056,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v121(constB181)),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[28055, 28054])).
% 35.01/23.65 tff(28057,plain,
% 35.01/23.65 (v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | v121(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28056, 1242, 28048])).
% 35.01/23.65 tff(28058,plain,
% 35.01/23.65 (v121(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28057, 28053, 27997])).
% 35.01/23.65 tff(28059,plain,
% 35.01/23.65 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB181) | (~v121(constB181)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB181) | (~v121(constB181)))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28060,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB181) | (~v121(constB181)))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28061,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB181) | (~v121(constB181))),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[28060, 28059])).
% 35.01/23.65 tff(28062,plain,
% 35.01/23.65 (v117(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28061, 1253, 28058])).
% 35.01/23.65 tff(28063,plain,
% 35.01/23.65 (~v114(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[27952, 542, 27964])).
% 35.01/23.65 tff(28064,plain,
% 35.01/23.65 (~v115(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28044, 531, 28063])).
% 35.01/23.65 tff(28065,plain,
% 35.01/23.65 (~v116(constB181)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28013, 520, 28064])).
% 35.01/23.65 tff(28066,plain,
% 35.01/23.65 ($false),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28009, 509, 28065, 28062])).
% 35.01/23.65 tff(28067,plain,(v113(constB181) | v90(constB181, bitIndex2) | v90(constB182, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 35.01/23.65 tff(28068,plain,
% 35.01/23.65 (v90(constB181, bitIndex2)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28067, 27949, 27962])).
% 35.01/23.65 tff(28069,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28070,plain,
% 35.01/23.65 (((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex2)) | v100(constB182) | v90(constB182, bitIndex2)) <=> ((~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28071,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex2)) | v100(constB182) | v90(constB182, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2)))),
% 35.01/23.65 inference(monotonicity,[status(thm)],[28070])).
% 35.01/23.65 tff(28072,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex2)) | v100(constB182) | v90(constB182, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2))),
% 35.01/23.65 inference(transitivity,[status(thm)],[28071, 28069])).
% 35.01/23.65 tff(28073,plain,
% 35.01/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex2)) | v100(constB182) | v90(constB182, bitIndex2))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28074,plain,
% 35.01/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2)),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[28073, 28072])).
% 35.01/23.65 tff(28075,plain,
% 35.01/23.65 ((~v90(constB181, bitIndex2)) | v100(constB182) | v90(constB182, bitIndex2)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28074, 1658, 27799])).
% 35.01/23.65 tff(28076,plain,
% 35.01/23.65 (v90(constB182, bitIndex2)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28075, 28068, 27903])).
% 35.01/23.65 tff(28077,assumption,(v90(constB182, bitIndex2)), introduced(assumption)).
% 35.01/23.65 tff(28078,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB181, bitIndex2) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB181, bitIndex2) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex2)))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28079,plain,
% 35.01/23.65 (((~nextState(constB181, constB182)) | v90(constB181, bitIndex2) | v100(constB182) | (~v90(constB182, bitIndex2))) <=> (v90(constB181, bitIndex2) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex2)))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28080,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v90(constB181, bitIndex2) | v100(constB182) | (~v90(constB182, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB181, bitIndex2) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex2))))),
% 35.01/23.65 inference(monotonicity,[status(thm)],[28079])).
% 35.01/23.65 tff(28081,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v90(constB181, bitIndex2) | v100(constB182) | (~v90(constB182, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB181, bitIndex2) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex2)))),
% 35.01/23.65 inference(transitivity,[status(thm)],[28080, 28078])).
% 35.01/23.65 tff(28082,plain,
% 35.01/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v90(constB181, bitIndex2) | v100(constB182) | (~v90(constB182, bitIndex2)))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28083,plain,
% 35.01/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB181, bitIndex2) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex2))),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[28082, 28081])).
% 35.01/23.65 tff(28084,plain,
% 35.01/23.65 (v90(constB181, bitIndex2) | v100(constB182) | (~v90(constB182, bitIndex2))),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28083, 413, 27799])).
% 35.01/23.65 tff(28085,plain,
% 35.01/23.65 (v90(constB181, bitIndex2)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28084, 27903, 28077])).
% 35.01/23.65 tff(28086,assumption,(v90(constB182, bitIndex1)), introduced(assumption)).
% 35.01/23.65 tff(28087,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB181, bitIndex1) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB181, bitIndex1) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex1)))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28088,plain,
% 35.01/23.65 (((~nextState(constB181, constB182)) | v90(constB181, bitIndex1) | v100(constB182) | (~v90(constB182, bitIndex1))) <=> (v90(constB181, bitIndex1) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex1)))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28089,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v90(constB181, bitIndex1) | v100(constB182) | (~v90(constB182, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB181, bitIndex1) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex1))))),
% 35.01/23.65 inference(monotonicity,[status(thm)],[28088])).
% 35.01/23.65 tff(28090,plain,
% 35.01/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v90(constB181, bitIndex1) | v100(constB182) | (~v90(constB182, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB181, bitIndex1) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex1)))),
% 35.01/23.65 inference(transitivity,[status(thm)],[28089, 28087])).
% 35.01/23.65 tff(28091,plain,
% 35.01/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v90(constB181, bitIndex1) | v100(constB182) | (~v90(constB182, bitIndex1)))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28092,plain,
% 35.01/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB181, bitIndex1) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex1))),
% 35.01/23.65 inference(modus_ponens,[status(thm)],[28091, 28090])).
% 35.01/23.65 tff(28093,plain,
% 35.01/23.65 (v90(constB181, bitIndex1) | v100(constB182) | (~v90(constB182, bitIndex1))),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28092, 434, 27799])).
% 35.01/23.65 tff(28094,plain,
% 35.01/23.65 (v90(constB181, bitIndex1)),
% 35.01/23.65 inference(unit_resolution,[status(thm)],[28093, 27903, 28086])).
% 35.01/23.65 tff(28095,plain,
% 35.01/23.65 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181))),
% 35.01/23.65 inference(rewrite,[status(thm)],[])).
% 35.01/23.65 tff(28096,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181))),
% 35.01/23.65 inference(quant_inst,[status(thm)],[])).
% 35.01/23.65 tff(28097,plain,
% 35.01/23.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181)),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28096, 28095])).
% 35.01/23.66 tff(28098,plain,
% 35.01/23.66 ((~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28097, 2321, 27954])).
% 35.01/23.66 tff(28099,plain,
% 35.01/23.66 (v125(constB181)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28098, 28094, 28085])).
% 35.01/23.66 tff(28100,plain,
% 35.01/23.66 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB181) | (~v125(constB181)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB181) | (~v125(constB181)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28101,plain,
% 35.01/23.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB181) | (~v125(constB181)))),
% 35.01/23.66 inference(quant_inst,[status(thm)],[])).
% 35.01/23.66 tff(28102,plain,
% 35.01/23.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB181) | (~v125(constB181))),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28101, 28100])).
% 35.01/23.66 tff(28103,plain,
% 35.01/23.66 (v113(constB181)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28102, 2332, 28099])).
% 35.01/23.66 tff(28104,plain,
% 35.01/23.66 ($false),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[27948, 27944, 28103])).
% 35.01/23.66 tff(28105,plain,(v100(constB182) | v90(constB181, bitIndex0) | (~v90(constB182, bitIndex1)) | (~v90(constB182, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 35.01/23.66 tff(28106,plain,
% 35.01/23.66 (~v90(constB182, bitIndex1)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28105, 28076, 27954, 27903])).
% 35.01/23.66 tff(28107,plain,
% 35.01/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB181, bitIndex1)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB181, bitIndex1)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex1))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28108,plain,
% 35.01/23.66 (((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex1)) | v100(constB182) | v90(constB182, bitIndex1)) <=> ((~v90(constB181, bitIndex1)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex1))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28109,plain,
% 35.01/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex1)) | v100(constB182) | v90(constB182, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB181, bitIndex1)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex1)))),
% 35.01/23.66 inference(monotonicity,[status(thm)],[28108])).
% 35.01/23.66 tff(28110,plain,
% 35.01/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex1)) | v100(constB182) | v90(constB182, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB181, bitIndex1)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex1))),
% 35.01/23.66 inference(transitivity,[status(thm)],[28109, 28107])).
% 35.01/23.66 tff(28111,plain,
% 35.01/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex1)) | v100(constB182) | v90(constB182, bitIndex1))),
% 35.01/23.66 inference(quant_inst,[status(thm)],[])).
% 35.01/23.66 tff(28112,plain,
% 35.01/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB181, bitIndex1)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex1)),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28111, 28110])).
% 35.01/23.66 tff(28113,plain,
% 35.01/23.66 ((~v90(constB181, bitIndex1)) | v100(constB182) | v90(constB182, bitIndex1)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28112, 1149, 27799])).
% 35.01/23.66 tff(28114,plain,
% 35.01/23.66 (~v90(constB181, bitIndex1)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28113, 28106, 27903])).
% 35.01/23.66 tff(28115,plain,
% 35.01/23.66 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | v123(constB181))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | v123(constB181))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28116,plain,
% 35.01/23.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | v123(constB181))),
% 35.01/23.66 inference(quant_inst,[status(thm)],[])).
% 35.01/23.66 tff(28117,plain,
% 35.01/23.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | v123(constB181)),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28116, 28115])).
% 35.01/23.66 tff(28118,plain,
% 35.01/23.66 (v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | v123(constB181)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28117, 1765, 27954])).
% 35.01/23.66 tff(28119,plain,
% 35.01/23.66 (v123(constB181)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28118, 28114, 28068])).
% 35.01/23.66 tff(28120,plain,
% 35.01/23.66 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB181) | (~v123(constB181)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB181) | (~v123(constB181)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28121,plain,
% 35.01/23.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB181) | (~v123(constB181)))),
% 35.01/23.66 inference(quant_inst,[status(thm)],[])).
% 35.01/23.66 tff(28122,plain,
% 35.01/23.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB181) | (~v123(constB181))),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28121, 28120])).
% 35.01/23.66 tff(28123,plain,
% 35.01/23.66 (v115(constB181)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28122, 1776, 28119])).
% 35.01/23.66 tff(28124,plain,
% 35.01/23.66 ($false),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28044, 531, 28123, 27953])).
% 35.01/23.66 tff(28125,plain,(v100(constB182) | v90(constB181, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 35.01/23.66 tff(28126,plain,
% 35.01/23.66 (v100(constB182)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28125, 27902])).
% 35.01/23.66 tff(28127,plain,
% 35.01/23.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28128,plain,
% 35.01/23.66 (((~v90(constB182, bitIndex2)) | (~v100(constB182)) | v129(constB182, bitIndex2)) <=> ((~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28129,plain,
% 35.01/23.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~v100(constB182)) | v129(constB182, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182))))),
% 35.01/23.66 inference(monotonicity,[status(thm)],[28128])).
% 35.01/23.66 tff(28130,plain,
% 35.01/23.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~v100(constB182)) | v129(constB182, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))),
% 35.01/23.66 inference(transitivity,[status(thm)],[28129, 28127])).
% 35.01/23.66 tff(28131,plain,
% 35.01/23.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~v100(constB182)) | v129(constB182, bitIndex2))),
% 35.01/23.66 inference(quant_inst,[status(thm)],[])).
% 35.01/23.66 tff(28132,plain,
% 35.01/23.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182))),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28131, 28130])).
% 35.01/23.66 tff(28133,plain,
% 35.01/23.66 ((~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28132, 722, 28126])).
% 35.01/23.66 tff(28134,plain,
% 35.01/23.66 (~v90(constB182, bitIndex2)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28133, 27868])).
% 35.01/23.66 tff(28135,plain,
% 35.01/23.66 ((~v1(constB183)) <=> (~v1(constB183))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28136,axiom,(~v1(constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 35.01/23.66 tff(28137,plain,
% 35.01/23.66 (~v1(constB183)),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28136, 28135])).
% 35.01/23.66 tff(28138,plain,
% 35.01/23.66 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28139,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 35.01/23.66 tff(28140,plain,
% 35.01/23.66 (nextState(constB182, constB183)),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28139, 28138])).
% 35.01/23.66 tff(28141,plain,
% 35.01/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28142,plain,
% 35.01/23.66 (((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28143,plain,
% 35.01/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))))),
% 35.01/23.66 inference(monotonicity,[status(thm)],[28142])).
% 35.01/23.66 tff(28144,plain,
% 35.01/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 35.01/23.66 inference(transitivity,[status(thm)],[28143, 28141])).
% 35.01/23.66 tff(28145,plain,
% 35.01/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))),
% 35.01/23.66 inference(quant_inst,[status(thm)],[])).
% 35.01/23.66 tff(28146,plain,
% 35.01/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28145, 28144])).
% 35.01/23.66 tff(28147,plain,
% 35.01/23.66 (~v101(constB183)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28146, 381, 28140, 28137])).
% 35.01/23.66 tff(28148,plain,
% 35.01/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28149,plain,
% 35.01/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 35.01/23.66 inference(quant_inst,[status(thm)],[])).
% 35.01/23.66 tff(28150,plain,
% 35.01/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183))),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28149, 28148])).
% 35.01/23.66 tff(28151,plain,
% 35.01/23.66 (v101(constB183) | (~v100(constB183))),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28150, 398, 28140])).
% 35.01/23.66 tff(28152,plain,
% 35.01/23.66 (~v100(constB183)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28151, 28147])).
% 35.01/23.66 tff(28153,plain,
% 35.01/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28154,plain,
% 35.01/23.66 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2))) <=> (v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28155,plain,
% 35.01/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2))))),
% 35.01/23.66 inference(monotonicity,[status(thm)],[28154])).
% 35.01/23.66 tff(28156,plain,
% 35.01/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 35.01/23.66 inference(transitivity,[status(thm)],[28155, 28153])).
% 35.01/23.66 tff(28157,plain,
% 35.01/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 35.01/23.66 inference(quant_inst,[status(thm)],[])).
% 35.01/23.66 tff(28158,plain,
% 35.01/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2))),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28157, 28156])).
% 35.01/23.66 tff(28159,plain,
% 35.01/23.66 (v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2))),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28158, 413, 28140])).
% 35.01/23.66 tff(28160,plain,
% 35.01/23.66 (v90(constB182, bitIndex2) | (~v90(constB183, bitIndex2))),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28159, 28152])).
% 35.01/23.66 tff(28161,plain,
% 35.01/23.66 (~v90(constB183, bitIndex2)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28160, 28134])).
% 35.01/23.66 tff(28162,plain,
% 35.01/23.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex1)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28163,plain,
% 35.01/23.66 ((v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1))) <=> (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex1)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28164,plain,
% 35.01/23.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex1))))),
% 35.01/23.66 inference(monotonicity,[status(thm)],[28163])).
% 35.01/23.66 tff(28165,plain,
% 35.01/23.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex1)))),
% 35.01/23.66 inference(transitivity,[status(thm)],[28164, 28162])).
% 35.01/23.66 tff(28166,plain,
% 35.01/23.66 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))),
% 35.01/23.66 inference(quant_inst,[status(thm)],[])).
% 35.01/23.66 tff(28167,plain,
% 35.01/23.66 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex1))),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28166, 28165])).
% 35.01/23.66 tff(28168,plain,
% 35.01/23.66 (~v130(constB181, bitIndex1)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28167, 2448, 27757, 27753, 27749, 27745, 27741, 27706])).
% 35.01/23.66 tff(28169,plain,
% 35.01/23.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28170,plain,
% 35.01/23.66 ((v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1))) <=> ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28171,plain,
% 35.01/23.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)))),
% 35.01/23.66 inference(monotonicity,[status(thm)],[28170])).
% 35.01/23.66 tff(28172,plain,
% 35.01/23.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 35.01/23.66 inference(transitivity,[status(thm)],[28171, 28169])).
% 35.01/23.66 tff(28173,plain,
% 35.01/23.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))),
% 35.01/23.66 inference(quant_inst,[status(thm)],[])).
% 35.01/23.66 tff(28174,plain,
% 35.01/23.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28173, 28172])).
% 35.01/23.66 tff(28175,plain,
% 35.01/23.66 ((~v127(constB181, bitIndex1)) | v130(constB181, bitIndex1)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28174, 781, 27855])).
% 35.01/23.66 tff(28176,plain,
% 35.01/23.66 (~v127(constB181, bitIndex1)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28175, 28168])).
% 35.01/23.66 tff(28177,plain,
% 35.01/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28178,plain,
% 35.01/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 35.01/23.66 inference(quant_inst,[status(thm)],[])).
% 35.01/23.66 tff(28179,plain,
% 35.01/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28178, 28177])).
% 35.01/23.66 tff(28180,plain,
% 35.01/23.66 (v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28179, 799, 27799])).
% 35.01/23.66 tff(28181,plain,
% 35.01/23.66 (~v129(constB182, bitIndex1)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28180, 28176])).
% 35.01/23.66 tff(28182,plain,
% 35.01/23.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28183,plain,
% 35.01/23.66 (((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1)) <=> ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28184,plain,
% 35.01/23.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))))),
% 35.01/23.66 inference(monotonicity,[status(thm)],[28183])).
% 35.01/23.66 tff(28185,plain,
% 35.01/23.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 35.01/23.66 inference(transitivity,[status(thm)],[28184, 28182])).
% 35.01/23.66 tff(28186,plain,
% 35.01/23.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))),
% 35.01/23.66 inference(quant_inst,[status(thm)],[])).
% 35.01/23.66 tff(28187,plain,
% 35.01/23.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28186, 28185])).
% 35.01/23.66 tff(28188,plain,
% 35.01/23.66 ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28187, 814, 28126])).
% 35.01/23.66 tff(28189,plain,
% 35.01/23.66 (~v90(constB182, bitIndex1)),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28188, 28181])).
% 35.01/23.66 tff(28190,plain,
% 35.01/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28191,plain,
% 35.01/23.66 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))) <=> (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 35.01/23.66 inference(rewrite,[status(thm)],[])).
% 35.01/23.66 tff(28192,plain,
% 35.01/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1))))),
% 35.01/23.66 inference(monotonicity,[status(thm)],[28191])).
% 35.01/23.66 tff(28193,plain,
% 35.01/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 35.01/23.66 inference(transitivity,[status(thm)],[28192, 28190])).
% 35.01/23.66 tff(28194,plain,
% 35.01/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 35.01/23.66 inference(quant_inst,[status(thm)],[])).
% 35.01/23.66 tff(28195,plain,
% 35.01/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 35.01/23.66 inference(modus_ponens,[status(thm)],[28194, 28193])).
% 35.01/23.66 tff(28196,plain,
% 35.01/23.66 (v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28195, 434, 28140])).
% 35.01/23.66 tff(28197,plain,
% 35.01/23.66 (v90(constB182, bitIndex1) | (~v90(constB183, bitIndex1))),
% 35.01/23.66 inference(unit_resolution,[status(thm)],[28196, 28152])).
% 35.01/23.66 tff(28198,plain,
% 35.01/23.66 (~v90(constB183, bitIndex1)),
% 35.07/23.66 inference(unit_resolution,[status(thm)],[28197, 28189])).
% 35.07/23.66 tff(28199,plain,
% 35.07/23.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0))),
% 35.07/23.66 inference(rewrite,[status(thm)],[])).
% 35.07/23.66 tff(28200,plain,
% 35.07/23.66 ((v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0)) <=> (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0))),
% 35.07/23.66 inference(rewrite,[status(thm)],[])).
% 35.07/23.66 tff(28201,plain,
% 35.07/23.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0)))),
% 35.07/23.66 inference(monotonicity,[status(thm)],[28200])).
% 35.07/23.66 tff(28202,plain,
% 35.07/23.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0))),
% 35.07/23.66 inference(transitivity,[status(thm)],[28201, 28199])).
% 35.07/23.66 tff(28203,plain,
% 35.07/23.66 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))),
% 35.07/23.66 inference(quant_inst,[status(thm)],[])).
% 35.07/23.66 tff(28204,plain,
% 35.07/23.66 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0)),
% 35.07/23.66 inference(modus_ponens,[status(thm)],[28203, 28202])).
% 35.07/23.66 tff(28205,plain,
% 35.07/23.66 (v130(constB181, bitIndex0)),
% 35.07/23.66 inference(unit_resolution,[status(thm)],[28204, 2495, 27757, 27753, 27749, 27745, 27741, 27706])).
% 35.07/23.66 tff(28206,plain,
% 35.07/23.66 (v127(constB181, bitIndex0)),
% 35.07/23.66 inference(unit_resolution,[status(thm)],[28022, 28205])).
% 35.07/23.66 tff(28207,plain,
% 35.07/23.66 (v129(constB182, bitIndex0)),
% 35.07/23.66 inference(unit_resolution,[status(thm)],[28027, 28206])).
% 35.07/23.66 tff(28208,plain,
% 35.07/23.66 (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0))),
% 35.07/23.66 inference(unit_resolution,[status(thm)],[28034, 885, 28126])).
% 35.07/23.66 tff(28209,plain,
% 35.07/23.66 (v90(constB182, bitIndex0)),
% 35.07/23.66 inference(unit_resolution,[status(thm)],[28208, 28207])).
% 35.07/23.66 tff(28210,plain,
% 35.07/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28211,plain,
% 35.07/23.67 (((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0)) <=> ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28212,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0)))),
% 35.07/23.67 inference(monotonicity,[status(thm)],[28211])).
% 35.07/23.67 tff(28213,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 35.07/23.67 inference(transitivity,[status(thm)],[28212, 28210])).
% 35.07/23.67 tff(28214,plain,
% 35.07/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28215,plain,
% 35.07/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0)),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28214, 28213])).
% 35.07/23.67 tff(28216,plain,
% 35.07/23.67 ((~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28215, 903, 28140])).
% 35.07/23.67 tff(28217,plain,
% 35.07/23.67 ((~v90(constB182, bitIndex0)) | v90(constB183, bitIndex0)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28216, 28152])).
% 35.07/23.67 tff(28218,plain,
% 35.07/23.67 (v90(constB183, bitIndex0)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28217, 28209])).
% 35.07/23.67 tff(28219,plain,
% 35.07/23.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28220,plain,
% 35.07/23.67 (((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2)) <=> ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28221,plain,
% 35.07/23.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183)))),
% 35.07/23.67 inference(monotonicity,[status(thm)],[28220])).
% 35.07/23.67 tff(28222,plain,
% 35.07/23.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 35.07/23.67 inference(transitivity,[status(thm)],[28221, 28219])).
% 35.07/23.67 tff(28223,plain,
% 35.07/23.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28224,plain,
% 35.07/23.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183)),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28223, 28222])).
% 35.07/23.67 tff(28225,plain,
% 35.07/23.67 (v120(constB183)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28224, 922, 28218, 28198, 28161])).
% 35.07/23.67 tff(28226,plain,
% 35.07/23.67 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB183) | (~v120(constB183)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB183) | (~v120(constB183)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28227,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB183) | (~v120(constB183)))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28228,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB183) | (~v120(constB183))),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28227, 28226])).
% 35.07/23.67 tff(28229,plain,
% 35.07/23.67 (v118(constB183)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28228, 936, 28225])).
% 35.07/23.67 tff(28230,plain,
% 35.07/23.67 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB183) | (~v118(constB183)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB183) | (~v118(constB183)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28231,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB183) | (~v118(constB183)))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28232,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB183) | (~v118(constB183))),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28231, 28230])).
% 35.07/23.67 tff(28233,plain,
% 35.07/23.67 (v117(constB183)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28232, 498, 28229])).
% 35.07/23.67 tff(28234,plain,
% 35.07/23.67 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB183) | (~v117(constB183)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB183) | (~v117(constB183)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28235,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB183) | (~v117(constB183)))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28236,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB183) | (~v117(constB183))),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28235, 28234])).
% 35.07/23.67 tff(28237,plain,
% 35.07/23.67 (v116(constB183)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28236, 509, 28233])).
% 35.07/23.67 tff(28238,plain,
% 35.07/23.67 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB183) | (~v116(constB183)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB183) | (~v116(constB183)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28239,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB183) | (~v116(constB183)))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28240,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB183) | (~v116(constB183))),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28239, 28238])).
% 35.07/23.67 tff(28241,plain,
% 35.07/23.67 (v115(constB183)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28240, 520, 28237])).
% 35.07/23.67 tff(28242,plain,
% 35.07/23.67 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB183) | (~v115(constB183)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB183) | (~v115(constB183)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28243,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB183) | (~v115(constB183)))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28244,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB183) | (~v115(constB183))),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28243, 28242])).
% 35.07/23.67 tff(28245,plain,
% 35.07/23.67 (v114(constB183)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28244, 531, 28241])).
% 35.07/23.67 tff(28246,plain,
% 35.07/23.67 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB183) | (~v114(constB183)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB183) | (~v114(constB183)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28247,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB183) | (~v114(constB183)))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28248,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB183) | (~v114(constB183))),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28247, 28246])).
% 35.07/23.67 tff(28249,plain,
% 35.07/23.67 (v113(constB183)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28248, 542, 28245])).
% 35.07/23.67 tff(28250,assumption,(v26(constB183)), introduced(assumption)).
% 35.07/23.67 tff(28251,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB183))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28252,plain,
% 35.07/23.67 ($false),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28251, 120, 28250])).
% 35.07/23.67 tff(28253,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 35.07/23.67 tff(28254,plain,
% 35.07/23.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | v112(constB183) | (~v113(constB183)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | v112(constB183) | (~v113(constB183)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28255,plain,
% 35.07/23.67 ((v26(constB183) | (~v113(constB183)) | v112(constB183)) <=> (v26(constB183) | v112(constB183) | (~v113(constB183)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28256,plain,
% 35.07/23.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | v112(constB183) | (~v113(constB183))))),
% 35.07/23.67 inference(monotonicity,[status(thm)],[28255])).
% 35.07/23.67 tff(28257,plain,
% 35.07/23.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | v112(constB183) | (~v113(constB183)))),
% 35.07/23.67 inference(transitivity,[status(thm)],[28256, 28254])).
% 35.07/23.67 tff(28258,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28259,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | v112(constB183) | (~v113(constB183))),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28258, 28257])).
% 35.07/23.67 tff(28260,plain,
% 35.07/23.67 (v112(constB183) | (~v113(constB183))),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28259, 556, 28253])).
% 35.07/23.67 tff(28261,plain,
% 35.07/23.67 (v112(constB183)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28260, 28249])).
% 35.07/23.67 tff(28262,plain,
% 35.07/23.67 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB183) | (~v112(constB183)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB183) | (~v112(constB183)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28263,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB183) | (~v112(constB183)))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28264,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB183) | (~v112(constB183))),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28263, 28262])).
% 35.07/23.67 tff(28265,plain,
% 35.07/23.67 (v108(constB183)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28264, 568, 28261])).
% 35.07/23.67 tff(28266,plain,
% 35.07/23.67 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28267,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 35.07/23.67 tff(28268,plain,
% 35.07/23.67 (nextState(constB183, constB184)),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28267, 28266])).
% 35.07/23.67 tff(28269,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28270,plain,
% 35.07/23.67 (((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184)) <=> ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28271,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))))),
% 35.07/23.67 inference(monotonicity,[status(thm)],[28270])).
% 35.07/23.67 tff(28272,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 35.07/23.67 inference(transitivity,[status(thm)],[28271, 28269])).
% 35.07/23.67 tff(28273,plain,
% 35.07/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28274,plain,
% 35.07/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28273, 28272])).
% 35.07/23.67 tff(28275,plain,
% 35.07/23.67 (v110(constB184) | (~v108(constB183))),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28274, 585, 28268])).
% 35.07/23.67 tff(28276,plain,
% 35.07/23.67 (v110(constB184)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28275, 28265])).
% 35.07/23.67 tff(28277,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28278,plain,
% 35.07/23.67 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28279,plain,
% 35.07/23.67 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184))),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28278, 28277])).
% 35.07/23.67 tff(28280,plain,
% 35.07/23.67 (~v104(constB184)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28279, 603, 28268, 28137])).
% 35.07/23.67 tff(28281,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28282,plain,
% 35.07/23.67 (((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184)) <=> ((~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28283,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | v102(constB184)))),
% 35.07/23.67 inference(monotonicity,[status(thm)],[28282])).
% 35.07/23.67 tff(28284,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))),
% 35.07/23.67 inference(transitivity,[status(thm)],[28283, 28281])).
% 35.07/23.67 tff(28285,plain,
% 35.07/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28286,plain,
% 35.07/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | v102(constB184)),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28285, 28284])).
% 35.07/23.67 tff(28287,plain,
% 35.07/23.67 (v104(constB184) | v102(constB184)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28286, 617, 28268])).
% 35.07/23.67 tff(28288,plain,
% 35.07/23.67 (v102(constB184)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28287, 28280])).
% 35.07/23.67 tff(28289,plain,
% 35.07/23.67 (v1(constB184) <=> v1(constB184)),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28290,axiom,(v1(constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 35.07/23.67 tff(28291,plain,
% 35.07/23.67 (v1(constB184)),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28290, 28289])).
% 35.07/23.67 tff(28292,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28293,plain,
% 35.07/23.67 (((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184))) <=> ((~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28294,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184))))),
% 35.07/23.67 inference(monotonicity,[status(thm)],[28293])).
% 35.07/23.67 tff(28295,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))),
% 35.07/23.67 inference(transitivity,[status(thm)],[28294, 28292])).
% 35.07/23.67 tff(28296,plain,
% 35.07/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28297,plain,
% 35.07/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184))),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28296, 28295])).
% 35.07/23.67 tff(28298,plain,
% 35.07/23.67 (v101(constB184) | (~v102(constB184))),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28297, 638, 28268, 28291])).
% 35.07/23.67 tff(28299,plain,
% 35.07/23.67 (v101(constB184)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28298, 28288])).
% 35.07/23.67 tff(28300,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28301,plain,
% 35.07/23.67 (((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184)) <=> ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28302,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))))),
% 35.07/23.67 inference(monotonicity,[status(thm)],[28301])).
% 35.07/23.67 tff(28303,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 35.07/23.67 inference(transitivity,[status(thm)],[28302, 28300])).
% 35.07/23.67 tff(28304,plain,
% 35.07/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28305,plain,
% 35.07/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28304, 28303])).
% 35.07/23.67 tff(28306,plain,
% 35.07/23.67 (v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28305, 656, 28268])).
% 35.07/23.67 tff(28307,plain,
% 35.07/23.67 (v100(constB184) | (~v110(constB184))),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28306, 28299])).
% 35.07/23.67 tff(28308,plain,
% 35.07/23.67 (v100(constB184)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28307, 28276])).
% 35.07/23.67 tff(28309,plain,
% 35.07/23.67 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB183)) | (~v130(constB183, bitIndex2)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28310,plain,
% 35.07/23.67 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex2)))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28311,plain,
% 35.07/23.67 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB183)) | (~v130(constB183, bitIndex2))),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28310, 28309])).
% 35.07/23.67 tff(28312,plain,
% 35.07/23.67 (~v130(constB183, bitIndex2)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28311, 1025, 28225])).
% 35.07/23.67 tff(28313,plain,
% 35.07/23.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28314,plain,
% 35.07/23.67 ((v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2))) <=> ((~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28315,plain,
% 35.07/23.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2)))),
% 35.07/23.67 inference(monotonicity,[status(thm)],[28314])).
% 35.07/23.67 tff(28316,plain,
% 35.07/23.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))),
% 35.07/23.67 inference(transitivity,[status(thm)],[28315, 28313])).
% 35.07/23.67 tff(28317,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2)))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28318,plain,
% 35.07/23.67 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2)),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28317, 28316])).
% 35.07/23.67 tff(28319,plain,
% 35.07/23.67 ((~v127(constB183, bitIndex2)) | v130(constB183, bitIndex2)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28318, 689, 28253])).
% 35.07/23.67 tff(28320,plain,
% 35.07/23.67 (~v127(constB183, bitIndex2)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28319, 28312])).
% 35.07/23.67 tff(28321,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28322,plain,
% 35.07/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2)))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28323,plain,
% 35.07/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2))),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28322, 28321])).
% 35.07/23.67 tff(28324,plain,
% 35.07/23.67 (v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2))),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28323, 707, 28268])).
% 35.07/23.67 tff(28325,plain,
% 35.07/23.67 (~v129(constB184, bitIndex2)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28324, 28320])).
% 35.07/23.67 tff(28326,plain,
% 35.07/23.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28327,plain,
% 35.07/23.67 (((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2)) <=> ((~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28328,plain,
% 35.07/23.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184))))),
% 35.07/23.67 inference(monotonicity,[status(thm)],[28327])).
% 35.07/23.67 tff(28329,plain,
% 35.07/23.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))),
% 35.07/23.67 inference(transitivity,[status(thm)],[28328, 28326])).
% 35.07/23.67 tff(28330,plain,
% 35.07/23.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2))),
% 35.07/23.67 inference(quant_inst,[status(thm)],[])).
% 35.07/23.67 tff(28331,plain,
% 35.07/23.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184))),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28330, 28329])).
% 35.07/23.67 tff(28332,plain,
% 35.07/23.67 ((~v90(constB184, bitIndex2)) | (~v100(constB184))),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28331, 722, 28325])).
% 35.07/23.67 tff(28333,plain,
% 35.07/23.67 (~v90(constB184, bitIndex2)),
% 35.07/23.67 inference(unit_resolution,[status(thm)],[28332, 28308])).
% 35.07/23.67 tff(28334,plain,
% 35.07/23.67 ((~v1(constB185)) <=> (~v1(constB185))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28335,axiom,(~v1(constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 35.07/23.67 tff(28336,plain,
% 35.07/23.67 (~v1(constB185)),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28335, 28334])).
% 35.07/23.67 tff(28337,plain,
% 35.07/23.67 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28338,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 35.07/23.67 tff(28339,plain,
% 35.07/23.67 (nextState(constB184, constB185)),
% 35.07/23.67 inference(modus_ponens,[status(thm)],[28338, 28337])).
% 35.07/23.67 tff(28340,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28341,plain,
% 35.07/23.67 (((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 35.07/23.67 inference(rewrite,[status(thm)],[])).
% 35.07/23.67 tff(28342,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))))),
% 35.07/23.67 inference(monotonicity,[status(thm)],[28341])).
% 35.07/23.67 tff(28343,plain,
% 35.07/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 35.07/23.68 inference(transitivity,[status(thm)],[28342, 28340])).
% 35.07/23.68 tff(28344,plain,
% 35.07/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28345,plain,
% 35.07/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28344, 28343])).
% 35.07/23.68 tff(28346,plain,
% 35.07/23.68 (~v101(constB185)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28345, 381, 28339, 28336])).
% 35.07/23.68 tff(28347,plain,
% 35.07/23.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28348,plain,
% 35.07/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28349,plain,
% 35.07/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185))),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28348, 28347])).
% 35.07/23.68 tff(28350,plain,
% 35.07/23.68 (v101(constB185) | (~v100(constB185))),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28349, 398, 28339])).
% 35.07/23.68 tff(28351,plain,
% 35.07/23.68 (~v100(constB185)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28350, 28346])).
% 35.07/23.68 tff(28352,plain,
% 35.07/23.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28353,plain,
% 35.07/23.68 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2))) <=> (v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28354,plain,
% 35.07/23.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2))))),
% 35.07/23.68 inference(monotonicity,[status(thm)],[28353])).
% 35.07/23.68 tff(28355,plain,
% 35.07/23.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 35.07/23.68 inference(transitivity,[status(thm)],[28354, 28352])).
% 35.07/23.68 tff(28356,plain,
% 35.07/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28357,plain,
% 35.07/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2))),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28356, 28355])).
% 35.07/23.68 tff(28358,plain,
% 35.07/23.68 (v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2))),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28357, 413, 28339])).
% 35.07/23.68 tff(28359,plain,
% 35.07/23.68 (v90(constB184, bitIndex2) | (~v90(constB185, bitIndex2))),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28358, 28351])).
% 35.07/23.68 tff(28360,plain,
% 35.07/23.68 (~v90(constB185, bitIndex2)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28359, 28333])).
% 35.07/23.68 tff(28361,plain,
% 35.07/23.68 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB183)) | v130(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB183)) | v130(constB183, bitIndex1))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28362,plain,
% 35.07/23.68 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB183)) | v130(constB183, bitIndex1))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28363,plain,
% 35.07/23.68 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB183)) | v130(constB183, bitIndex1)),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28362, 28361])).
% 35.07/23.68 tff(28364,plain,
% 35.07/23.68 (v130(constB183, bitIndex1)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28363, 1087, 28225])).
% 35.07/23.68 tff(28365,plain,
% 35.07/23.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28366,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28367,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28366, 28365])).
% 35.07/23.68 tff(28368,plain,
% 35.07/23.68 ((~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28367, 1101, 28253])).
% 35.07/23.68 tff(28369,plain,
% 35.07/23.68 (v127(constB183, bitIndex1)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28368, 28364])).
% 35.07/23.68 tff(28370,plain,
% 35.07/23.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28371,plain,
% 35.07/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28372,plain,
% 35.07/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28371, 28370])).
% 35.07/23.68 tff(28373,plain,
% 35.07/23.68 ((~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28372, 1116, 28268])).
% 35.07/23.68 tff(28374,plain,
% 35.07/23.68 (v129(constB184, bitIndex1)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28373, 28369])).
% 35.07/23.68 tff(28375,plain,
% 35.07/23.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28376,plain,
% 35.07/23.68 ((v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1))) <=> (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28377,plain,
% 35.07/23.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))))),
% 35.07/23.68 inference(monotonicity,[status(thm)],[28376])).
% 35.07/23.68 tff(28378,plain,
% 35.07/23.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 35.07/23.68 inference(transitivity,[status(thm)],[28377, 28375])).
% 35.07/23.68 tff(28379,plain,
% 35.07/23.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28380,plain,
% 35.07/23.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28379, 28378])).
% 35.07/23.68 tff(28381,plain,
% 35.07/23.68 (v90(constB184, bitIndex1) | (~v100(constB184))),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28380, 1131, 28374])).
% 35.07/23.68 tff(28382,plain,
% 35.07/23.68 (v90(constB184, bitIndex1)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28381, 28308])).
% 35.07/23.68 tff(28383,plain,
% 35.07/23.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28384,plain,
% 35.07/23.68 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)) <=> ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28385,plain,
% 35.07/23.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1)))),
% 35.07/23.68 inference(monotonicity,[status(thm)],[28384])).
% 35.07/23.68 tff(28386,plain,
% 35.07/23.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 35.07/23.68 inference(transitivity,[status(thm)],[28385, 28383])).
% 35.07/23.68 tff(28387,plain,
% 35.07/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28388,plain,
% 35.07/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1)),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28387, 28386])).
% 35.07/23.68 tff(28389,plain,
% 35.07/23.68 ((~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28388, 1149, 28339])).
% 35.07/23.68 tff(28390,plain,
% 35.07/23.68 ((~v90(constB184, bitIndex1)) | v90(constB185, bitIndex1)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28389, 28351])).
% 35.07/23.68 tff(28391,plain,
% 35.07/23.68 (v90(constB185, bitIndex1)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28390, 28382])).
% 35.07/23.68 tff(28392,plain,
% 35.07/23.68 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB183)) | (~v130(constB183, bitIndex0)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28393,plain,
% 35.07/23.68 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex0)))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28394,plain,
% 35.07/23.68 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB183)) | (~v130(constB183, bitIndex0))),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28393, 28392])).
% 35.07/23.68 tff(28395,plain,
% 35.07/23.68 (~v130(constB183, bitIndex0)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28394, 1168, 28225])).
% 35.07/23.68 tff(28396,assumption,(v127(constB183, bitIndex0)), introduced(assumption)).
% 35.07/23.68 tff(28397,assumption,(~v130(constB183, bitIndex0)), introduced(assumption)).
% 35.07/23.68 tff(28398,plain,
% 35.07/23.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28399,plain,
% 35.07/23.68 ((v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0))) <=> ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28400,plain,
% 35.07/23.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)))),
% 35.07/23.68 inference(monotonicity,[status(thm)],[28399])).
% 35.07/23.68 tff(28401,plain,
% 35.07/23.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 35.07/23.68 inference(transitivity,[status(thm)],[28400, 28398])).
% 35.07/23.68 tff(28402,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28403,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28402, 28401])).
% 35.07/23.68 tff(28404,plain,
% 35.07/23.68 ((~v127(constB183, bitIndex0)) | v26(constB183)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28403, 1182, 28397])).
% 35.07/23.68 tff(28405,plain,
% 35.07/23.68 (v26(constB183)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28404, 28396])).
% 35.07/23.68 tff(28406,plain,
% 35.07/23.68 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB183)) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB183)) | (~v127(constB183, bitIndex0)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28407,plain,
% 35.07/23.68 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB183)) | (~v127(constB183, bitIndex0)))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28408,plain,
% 35.07/23.68 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB183)) | (~v127(constB183, bitIndex0))),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28407, 28406])).
% 35.07/23.68 tff(28409,plain,
% 35.07/23.68 ($false),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28408, 3012, 28396, 28405])).
% 35.07/23.68 tff(28410,plain,((~v127(constB183, bitIndex0)) | v130(constB183, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 35.07/23.68 tff(28411,plain,
% 35.07/23.68 (~v127(constB183, bitIndex0)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28410, 28395])).
% 35.07/23.68 tff(28412,plain,
% 35.07/23.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28413,plain,
% 35.07/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28414,plain,
% 35.07/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28413, 28412])).
% 35.07/23.68 tff(28415,plain,
% 35.07/23.68 (v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28414, 1200, 28268])).
% 35.07/23.68 tff(28416,plain,
% 35.07/23.68 (~v129(constB184, bitIndex0)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28415, 28411])).
% 35.07/23.68 tff(28417,plain,
% 35.07/23.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28418,plain,
% 35.07/23.68 (((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0)) <=> ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28419,plain,
% 35.07/23.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))))),
% 35.07/23.68 inference(monotonicity,[status(thm)],[28418])).
% 35.07/23.68 tff(28420,plain,
% 35.07/23.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 35.07/23.68 inference(transitivity,[status(thm)],[28419, 28417])).
% 35.07/23.68 tff(28421,plain,
% 35.07/23.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28422,plain,
% 35.07/23.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28421, 28420])).
% 35.07/23.68 tff(28423,plain,
% 35.07/23.68 ((~v90(constB184, bitIndex0)) | (~v100(constB184))),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28422, 1215, 28416])).
% 35.07/23.68 tff(28424,plain,
% 35.07/23.68 (~v90(constB184, bitIndex0)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28423, 28308])).
% 35.07/23.68 tff(28425,plain,
% 35.07/23.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28426,plain,
% 35.07/23.68 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))) <=> (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28427,plain,
% 35.07/23.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0))))),
% 35.07/23.68 inference(monotonicity,[status(thm)],[28426])).
% 35.07/23.68 tff(28428,plain,
% 35.07/23.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 35.07/23.68 inference(transitivity,[status(thm)],[28427, 28425])).
% 35.07/23.68 tff(28429,plain,
% 35.07/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28430,plain,
% 35.07/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28429, 28428])).
% 35.07/23.68 tff(28431,plain,
% 35.07/23.68 (v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28430, 455, 28339])).
% 35.07/23.68 tff(28432,plain,
% 35.07/23.68 (v90(constB184, bitIndex0) | (~v90(constB185, bitIndex0))),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28431, 28351])).
% 35.07/23.68 tff(28433,plain,
% 35.07/23.68 (~v90(constB185, bitIndex0)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28432, 28424])).
% 35.07/23.68 tff(28434,plain,
% 35.07/23.68 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28435,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28436,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185)),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28435, 28434])).
% 35.07/23.68 tff(28437,plain,
% 35.07/23.68 (v121(constB185)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28436, 1242, 28433, 28391, 28360])).
% 35.07/23.68 tff(28438,plain,
% 35.07/23.68 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB185) | (~v121(constB185)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB185) | (~v121(constB185)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28439,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB185) | (~v121(constB185)))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28440,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB185) | (~v121(constB185))),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28439, 28438])).
% 35.07/23.68 tff(28441,plain,
% 35.07/23.68 (v117(constB185)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28440, 1253, 28437])).
% 35.07/23.68 tff(28442,plain,
% 35.07/23.68 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB185) | (~v117(constB185)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB185) | (~v117(constB185)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28443,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB185) | (~v117(constB185)))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28444,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB185) | (~v117(constB185))),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28443, 28442])).
% 35.07/23.68 tff(28445,plain,
% 35.07/23.68 (v116(constB185)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28444, 509, 28441])).
% 35.07/23.68 tff(28446,plain,
% 35.07/23.68 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB185) | (~v116(constB185)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB185) | (~v116(constB185)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28447,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB185) | (~v116(constB185)))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28448,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB185) | (~v116(constB185))),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28447, 28446])).
% 35.07/23.68 tff(28449,plain,
% 35.07/23.68 (v115(constB185)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28448, 520, 28445])).
% 35.07/23.68 tff(28450,plain,
% 35.07/23.68 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB185) | (~v115(constB185)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB185) | (~v115(constB185)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28451,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB185) | (~v115(constB185)))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28452,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB185) | (~v115(constB185))),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28451, 28450])).
% 35.07/23.68 tff(28453,plain,
% 35.07/23.68 (v114(constB185)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28452, 531, 28449])).
% 35.07/23.68 tff(28454,plain,
% 35.07/23.68 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB185) | (~v114(constB185)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB185) | (~v114(constB185)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28455,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB185) | (~v114(constB185)))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28456,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB185) | (~v114(constB185))),
% 35.07/23.68 inference(modus_ponens,[status(thm)],[28455, 28454])).
% 35.07/23.68 tff(28457,plain,
% 35.07/23.68 (v113(constB185)),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28456, 542, 28453])).
% 35.07/23.68 tff(28458,assumption,(v26(constB185)), introduced(assumption)).
% 35.07/23.68 tff(28459,plain,
% 35.07/23.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB185))),
% 35.07/23.68 inference(quant_inst,[status(thm)],[])).
% 35.07/23.68 tff(28460,plain,
% 35.07/23.68 ($false),
% 35.07/23.68 inference(unit_resolution,[status(thm)],[28459, 120, 28458])).
% 35.07/23.68 tff(28461,plain,(~v26(constB185)), inference(lemma,lemma(discharge,[]))).
% 35.07/23.68 tff(28462,plain,
% 35.07/23.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | v112(constB185) | (~v113(constB185)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | v112(constB185) | (~v113(constB185)))),
% 35.07/23.68 inference(rewrite,[status(thm)],[])).
% 35.07/23.68 tff(28463,plain,
% 35.07/23.68 ((v26(constB185) | (~v113(constB185)) | v112(constB185)) <=> (v26(constB185) | v112(constB185) | (~v113(constB185)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28464,plain,
% 35.07/23.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | v112(constB185) | (~v113(constB185))))),
% 35.07/23.69 inference(monotonicity,[status(thm)],[28463])).
% 35.07/23.69 tff(28465,plain,
% 35.07/23.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | v112(constB185) | (~v113(constB185)))),
% 35.07/23.69 inference(transitivity,[status(thm)],[28464, 28462])).
% 35.07/23.69 tff(28466,plain,
% 35.07/23.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28467,plain,
% 35.07/23.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | v112(constB185) | (~v113(constB185))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28466, 28465])).
% 35.07/23.69 tff(28468,plain,
% 35.07/23.69 (v112(constB185) | (~v113(constB185))),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28467, 556, 28461])).
% 35.07/23.69 tff(28469,plain,
% 35.07/23.69 (v112(constB185)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28468, 28457])).
% 35.07/23.69 tff(28470,plain,
% 35.07/23.69 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB185) | (~v112(constB185)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB185) | (~v112(constB185)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28471,plain,
% 35.07/23.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB185) | (~v112(constB185)))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28472,plain,
% 35.07/23.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB185) | (~v112(constB185))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28471, 28470])).
% 35.07/23.69 tff(28473,plain,
% 35.07/23.69 (v108(constB185)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28472, 568, 28469])).
% 35.07/23.69 tff(28474,plain,
% 35.07/23.69 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28475,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 35.07/23.69 tff(28476,plain,
% 35.07/23.69 (nextState(constB185, constB186)),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28475, 28474])).
% 35.07/23.69 tff(28477,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28478,plain,
% 35.07/23.69 (((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186)) <=> ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28479,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))))),
% 35.07/23.69 inference(monotonicity,[status(thm)],[28478])).
% 35.07/23.69 tff(28480,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 35.07/23.69 inference(transitivity,[status(thm)],[28479, 28477])).
% 35.07/23.69 tff(28481,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28482,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28481, 28480])).
% 35.07/23.69 tff(28483,plain,
% 35.07/23.69 (v110(constB186) | (~v108(constB185))),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28482, 585, 28476])).
% 35.07/23.69 tff(28484,plain,
% 35.07/23.69 (v110(constB186)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28483, 28473])).
% 35.07/23.69 tff(28485,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28486,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28487,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28486, 28485])).
% 35.07/23.69 tff(28488,plain,
% 35.07/23.69 (~v104(constB186)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28487, 603, 28476, 28336])).
% 35.07/23.69 tff(28489,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28490,plain,
% 35.07/23.69 (((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186)) <=> ((~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28491,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | v102(constB186)))),
% 35.07/23.69 inference(monotonicity,[status(thm)],[28490])).
% 35.07/23.69 tff(28492,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))),
% 35.07/23.69 inference(transitivity,[status(thm)],[28491, 28489])).
% 35.07/23.69 tff(28493,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28494,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | v102(constB186)),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28493, 28492])).
% 35.07/23.69 tff(28495,plain,
% 35.07/23.69 (v104(constB186) | v102(constB186)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28494, 617, 28476])).
% 35.07/23.69 tff(28496,plain,
% 35.07/23.69 (v102(constB186)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28495, 28488])).
% 35.07/23.69 tff(28497,plain,
% 35.07/23.69 (v1(constB186) <=> v1(constB186)),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28498,axiom,(v1(constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 35.07/23.69 tff(28499,plain,
% 35.07/23.69 (v1(constB186)),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28498, 28497])).
% 35.07/23.69 tff(28500,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28501,plain,
% 35.07/23.69 (((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186))) <=> ((~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28502,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186))))),
% 35.07/23.69 inference(monotonicity,[status(thm)],[28501])).
% 35.07/23.69 tff(28503,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))),
% 35.07/23.69 inference(transitivity,[status(thm)],[28502, 28500])).
% 35.07/23.69 tff(28504,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28505,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28504, 28503])).
% 35.07/23.69 tff(28506,plain,
% 35.07/23.69 (v101(constB186) | (~v102(constB186))),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28505, 638, 28476, 28499])).
% 35.07/23.69 tff(28507,plain,
% 35.07/23.69 (v101(constB186)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28506, 28496])).
% 35.07/23.69 tff(28508,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28509,plain,
% 35.07/23.69 (((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186)) <=> ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28510,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))))),
% 35.07/23.69 inference(monotonicity,[status(thm)],[28509])).
% 35.07/23.69 tff(28511,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 35.07/23.69 inference(transitivity,[status(thm)],[28510, 28508])).
% 35.07/23.69 tff(28512,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28513,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28512, 28511])).
% 35.07/23.69 tff(28514,plain,
% 35.07/23.69 (v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28513, 656, 28476])).
% 35.07/23.69 tff(28515,plain,
% 35.07/23.69 (v100(constB186) | (~v110(constB186))),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28514, 28507])).
% 35.07/23.69 tff(28516,plain,
% 35.07/23.69 (v100(constB186)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28515, 28484])).
% 35.07/23.69 tff(28517,plain,
% 35.07/23.69 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v130(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v130(constB185, bitIndex2)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28518,plain,
% 35.07/23.69 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v130(constB185, bitIndex2)))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28519,plain,
% 35.07/23.69 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v130(constB185, bitIndex2))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28518, 28517])).
% 35.07/23.69 tff(28520,plain,
% 35.07/23.69 (~v130(constB185, bitIndex2)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28519, 1342, 28437])).
% 35.07/23.69 tff(28521,assumption,(v127(constB185, bitIndex2)), introduced(assumption)).
% 35.07/23.69 tff(28522,assumption,(~v130(constB185, bitIndex2)), introduced(assumption)).
% 35.07/23.69 tff(28523,plain,
% 35.07/23.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28524,plain,
% 35.07/23.69 ((v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2))) <=> ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28525,plain,
% 35.07/23.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)))),
% 35.07/23.69 inference(monotonicity,[status(thm)],[28524])).
% 35.07/23.69 tff(28526,plain,
% 35.07/23.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 35.07/23.69 inference(transitivity,[status(thm)],[28525, 28523])).
% 35.07/23.69 tff(28527,plain,
% 35.07/23.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28528,plain,
% 35.07/23.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28527, 28526])).
% 35.07/23.69 tff(28529,plain,
% 35.07/23.69 ((~v127(constB185, bitIndex2)) | v26(constB185)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28528, 689, 28522])).
% 35.07/23.69 tff(28530,plain,
% 35.07/23.69 (v26(constB185)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28529, 28521])).
% 35.07/23.69 tff(28531,plain,
% 35.07/23.69 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))))),
% 35.07/23.69 inference(bind,[status(th)],[])).
% 35.07/23.69 tff(28532,plain,
% 35.07/23.69 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 35.07/23.69 inference(quant_intro,[status(thm)],[28531])).
% 35.07/23.69 tff(28533,plain,
% 35.07/23.69 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28534,plain,
% 35.07/23.69 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))))),
% 35.07/23.69 inference(bind,[status(th)],[])).
% 35.07/23.69 tff(28535,plain,
% 35.07/23.69 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 35.07/23.69 inference(quant_intro,[status(thm)],[28534])).
% 35.07/23.69 tff(28536,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 35.07/23.69 tff(28537,plain,
% 35.07/23.69 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28536, 28535])).
% 35.07/23.69 tff(28538,plain,
% 35.07/23.69 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28537, 28533])).
% 35.07/23.69 tff(28539,plain,(
% 35.07/23.69 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 35.07/23.69 inference(skolemize,[status(sab)],[28538])).
% 35.07/23.69 tff(28540,plain,
% 35.07/23.69 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28539, 28532])).
% 35.07/23.69 tff(28541,plain,
% 35.07/23.69 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB185)) | (~v127(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB185)) | (~v127(constB185, bitIndex2)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28542,plain,
% 35.07/23.69 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB185)) | (~v127(constB185, bitIndex2)))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28543,plain,
% 35.07/23.69 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB185)) | (~v127(constB185, bitIndex2))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28542, 28541])).
% 35.07/23.69 tff(28544,plain,
% 35.07/23.69 ($false),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28543, 28540, 28521, 28530])).
% 35.07/23.69 tff(28545,plain,((~v127(constB185, bitIndex2)) | v130(constB185, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 35.07/23.69 tff(28546,plain,
% 35.07/23.69 (~v127(constB185, bitIndex2)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28545, 28520])).
% 35.07/23.69 tff(28547,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28548,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28549,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28548, 28547])).
% 35.07/23.69 tff(28550,plain,
% 35.07/23.69 (v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28549, 707, 28476])).
% 35.07/23.69 tff(28551,plain,
% 35.07/23.69 (~v129(constB186, bitIndex2)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28550, 28546])).
% 35.07/23.69 tff(28552,plain,
% 35.07/23.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28553,plain,
% 35.07/23.69 (((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2)) <=> ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28554,plain,
% 35.07/23.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186))))),
% 35.07/23.69 inference(monotonicity,[status(thm)],[28553])).
% 35.07/23.69 tff(28555,plain,
% 35.07/23.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 35.07/23.69 inference(transitivity,[status(thm)],[28554, 28552])).
% 35.07/23.69 tff(28556,plain,
% 35.07/23.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28557,plain,
% 35.07/23.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28556, 28555])).
% 35.07/23.69 tff(28558,plain,
% 35.07/23.69 ((~v90(constB186, bitIndex2)) | (~v100(constB186))),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28557, 722, 28551])).
% 35.07/23.69 tff(28559,plain,
% 35.07/23.69 (~v90(constB186, bitIndex2)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28558, 28516])).
% 35.07/23.69 tff(28560,plain,
% 35.07/23.69 ((~v1(constB187)) <=> (~v1(constB187))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28561,axiom,(~v1(constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 35.07/23.69 tff(28562,plain,
% 35.07/23.69 (~v1(constB187)),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28561, 28560])).
% 35.07/23.69 tff(28563,plain,
% 35.07/23.69 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28564,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 35.07/23.69 tff(28565,plain,
% 35.07/23.69 (nextState(constB186, constB187)),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28564, 28563])).
% 35.07/23.69 tff(28566,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28567,plain,
% 35.07/23.69 (((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28568,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))))),
% 35.07/23.69 inference(monotonicity,[status(thm)],[28567])).
% 35.07/23.69 tff(28569,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 35.07/23.69 inference(transitivity,[status(thm)],[28568, 28566])).
% 35.07/23.69 tff(28570,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28571,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28570, 28569])).
% 35.07/23.69 tff(28572,plain,
% 35.07/23.69 (~v101(constB187)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28571, 381, 28565, 28562])).
% 35.07/23.69 tff(28573,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28574,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28575,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28574, 28573])).
% 35.07/23.69 tff(28576,plain,
% 35.07/23.69 (v101(constB187) | (~v100(constB187))),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28575, 398, 28565])).
% 35.07/23.69 tff(28577,plain,
% 35.07/23.69 (~v100(constB187)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28576, 28572])).
% 35.07/23.69 tff(28578,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28579,plain,
% 35.07/23.69 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))) <=> (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28580,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2))))),
% 35.07/23.69 inference(monotonicity,[status(thm)],[28579])).
% 35.07/23.69 tff(28581,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 35.07/23.69 inference(transitivity,[status(thm)],[28580, 28578])).
% 35.07/23.69 tff(28582,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28583,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28582, 28581])).
% 35.07/23.69 tff(28584,plain,
% 35.07/23.69 (v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28583, 413, 28565])).
% 35.07/23.69 tff(28585,plain,
% 35.07/23.69 (v90(constB186, bitIndex2) | (~v90(constB187, bitIndex2))),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28584, 28577])).
% 35.07/23.69 tff(28586,plain,
% 35.07/23.69 (~v90(constB187, bitIndex2)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28585, 28559])).
% 35.07/23.69 tff(28587,plain,
% 35.07/23.69 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB185)) | v130(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB185)) | v130(constB185, bitIndex1))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28588,plain,
% 35.07/23.69 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB185)) | v130(constB185, bitIndex1))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28589,plain,
% 35.07/23.69 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB185)) | v130(constB185, bitIndex1)),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28588, 28587])).
% 35.07/23.69 tff(28590,plain,
% 35.07/23.69 (v130(constB185, bitIndex1)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28589, 1404, 28437])).
% 35.07/23.69 tff(28591,plain,
% 35.07/23.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28592,plain,
% 35.07/23.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28593,plain,
% 35.07/23.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1)),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28592, 28591])).
% 35.07/23.69 tff(28594,plain,
% 35.07/23.69 ((~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28593, 1101, 28461])).
% 35.07/23.69 tff(28595,plain,
% 35.07/23.69 (v127(constB185, bitIndex1)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28594, 28590])).
% 35.07/23.69 tff(28596,plain,
% 35.07/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28597,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1))),
% 35.07/23.69 inference(quant_inst,[status(thm)],[])).
% 35.07/23.69 tff(28598,plain,
% 35.07/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1)),
% 35.07/23.69 inference(modus_ponens,[status(thm)],[28597, 28596])).
% 35.07/23.69 tff(28599,plain,
% 35.07/23.69 ((~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28598, 1116, 28476])).
% 35.07/23.69 tff(28600,plain,
% 35.07/23.69 (v129(constB186, bitIndex1)),
% 35.07/23.69 inference(unit_resolution,[status(thm)],[28599, 28595])).
% 35.07/23.69 tff(28601,plain,
% 35.07/23.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28602,plain,
% 35.07/23.69 ((v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1))) <=> (v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))),
% 35.07/23.69 inference(rewrite,[status(thm)],[])).
% 35.07/23.69 tff(28603,plain,
% 35.07/23.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186))))),
% 35.07/23.70 inference(monotonicity,[status(thm)],[28602])).
% 35.07/23.70 tff(28604,plain,
% 35.07/23.70 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))),
% 35.07/23.70 inference(transitivity,[status(thm)],[28603, 28601])).
% 35.07/23.70 tff(28605,plain,
% 35.07/23.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1)))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28606,plain,
% 35.07/23.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186))),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28605, 28604])).
% 35.07/23.70 tff(28607,plain,
% 35.07/23.70 (v90(constB186, bitIndex1) | (~v100(constB186))),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28606, 1131, 28600])).
% 35.07/23.70 tff(28608,plain,
% 35.07/23.70 (v90(constB186, bitIndex1)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28607, 28516])).
% 35.07/23.70 tff(28609,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28610,plain,
% 35.07/23.70 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1)) <=> ((~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28611,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1)))),
% 35.07/23.70 inference(monotonicity,[status(thm)],[28610])).
% 35.07/23.70 tff(28612,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))),
% 35.07/23.70 inference(transitivity,[status(thm)],[28611, 28609])).
% 35.07/23.70 tff(28613,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28614,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1)),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28613, 28612])).
% 35.07/23.70 tff(28615,plain,
% 35.07/23.70 ((~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28614, 1149, 28565])).
% 35.07/23.70 tff(28616,plain,
% 35.07/23.70 ((~v90(constB186, bitIndex1)) | v90(constB187, bitIndex1)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28615, 28577])).
% 35.07/23.70 tff(28617,plain,
% 35.07/23.70 (v90(constB187, bitIndex1)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28616, 28608])).
% 35.07/23.70 tff(28618,plain,
% 35.07/23.70 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB185)) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB185)) | v130(constB185, bitIndex0))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28619,plain,
% 35.07/23.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB185)) | v130(constB185, bitIndex0))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28620,plain,
% 35.07/23.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB185)) | v130(constB185, bitIndex0)),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28619, 28618])).
% 35.07/23.70 tff(28621,plain,
% 35.07/23.70 (v130(constB185, bitIndex0)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28620, 1445, 28437])).
% 35.07/23.70 tff(28622,plain,
% 35.07/23.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28623,plain,
% 35.07/23.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28624,plain,
% 35.07/23.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28623, 28622])).
% 35.07/23.70 tff(28625,plain,
% 35.07/23.70 ((~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28624, 855, 28461])).
% 35.07/23.70 tff(28626,plain,
% 35.07/23.70 (v127(constB185, bitIndex0)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28625, 28621])).
% 35.07/23.70 tff(28627,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28628,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28629,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28628, 28627])).
% 35.07/23.70 tff(28630,plain,
% 35.07/23.70 ((~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28629, 870, 28476])).
% 35.07/23.70 tff(28631,plain,
% 35.07/23.70 (v129(constB186, bitIndex0)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28630, 28626])).
% 35.07/23.70 tff(28632,plain,
% 35.07/23.70 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28633,plain,
% 35.07/23.70 ((v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0))) <=> (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28634,plain,
% 35.07/23.70 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))))),
% 35.07/23.70 inference(monotonicity,[status(thm)],[28633])).
% 35.07/23.70 tff(28635,plain,
% 35.07/23.70 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 35.07/23.70 inference(transitivity,[status(thm)],[28634, 28632])).
% 35.07/23.70 tff(28636,plain,
% 35.07/23.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28637,plain,
% 35.07/23.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28636, 28635])).
% 35.07/23.70 tff(28638,plain,
% 35.07/23.70 (v90(constB186, bitIndex0) | (~v100(constB186))),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28637, 885, 28631])).
% 35.07/23.70 tff(28639,plain,
% 35.07/23.70 (v90(constB186, bitIndex0)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28638, 28516])).
% 35.07/23.70 tff(28640,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28641,plain,
% 35.07/23.70 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)) <=> ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28642,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0)))),
% 35.07/23.70 inference(monotonicity,[status(thm)],[28641])).
% 35.07/23.70 tff(28643,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 35.07/23.70 inference(transitivity,[status(thm)],[28642, 28640])).
% 35.07/23.70 tff(28644,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28645,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0)),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28644, 28643])).
% 35.07/23.70 tff(28646,plain,
% 35.07/23.70 ((~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28645, 903, 28565])).
% 35.07/23.70 tff(28647,plain,
% 35.07/23.70 ((~v90(constB186, bitIndex0)) | v90(constB187, bitIndex0)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28646, 28577])).
% 35.07/23.70 tff(28648,plain,
% 35.07/23.70 (v90(constB187, bitIndex0)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28647, 28639])).
% 35.07/23.70 tff(28649,plain,
% 35.07/23.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28650,plain,
% 35.07/23.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28651,plain,
% 35.07/23.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187)),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28650, 28649])).
% 35.07/23.70 tff(28652,plain,
% 35.07/23.70 (v122(constB187)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28651, 1486, 28648, 28617, 28586])).
% 35.07/23.70 tff(28653,plain,
% 35.07/23.70 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB187) | (~v122(constB187)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB187) | (~v122(constB187)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28654,plain,
% 35.07/23.70 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB187) | (~v122(constB187)))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28655,plain,
% 35.07/23.70 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB187) | (~v122(constB187))),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28654, 28653])).
% 35.07/23.70 tff(28656,plain,
% 35.07/23.70 (v116(constB187)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28655, 1497, 28652])).
% 35.07/23.70 tff(28657,plain,
% 35.07/23.70 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB187) | (~v116(constB187)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB187) | (~v116(constB187)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28658,plain,
% 35.07/23.70 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB187) | (~v116(constB187)))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28659,plain,
% 35.07/23.70 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB187) | (~v116(constB187))),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28658, 28657])).
% 35.07/23.70 tff(28660,plain,
% 35.07/23.70 (v115(constB187)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28659, 520, 28656])).
% 35.07/23.70 tff(28661,plain,
% 35.07/23.70 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB187) | (~v115(constB187)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB187) | (~v115(constB187)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28662,plain,
% 35.07/23.70 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB187) | (~v115(constB187)))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28663,plain,
% 35.07/23.70 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB187) | (~v115(constB187))),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28662, 28661])).
% 35.07/23.70 tff(28664,plain,
% 35.07/23.70 (v114(constB187)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28663, 531, 28660])).
% 35.07/23.70 tff(28665,plain,
% 35.07/23.70 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB187) | (~v114(constB187)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB187) | (~v114(constB187)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28666,plain,
% 35.07/23.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB187) | (~v114(constB187)))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28667,plain,
% 35.07/23.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB187) | (~v114(constB187))),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28666, 28665])).
% 35.07/23.70 tff(28668,plain,
% 35.07/23.70 (v113(constB187)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28667, 542, 28664])).
% 35.07/23.70 tff(28669,assumption,(v26(constB187)), introduced(assumption)).
% 35.07/23.70 tff(28670,plain,
% 35.07/23.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB187))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28671,plain,
% 35.07/23.70 ($false),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28670, 120, 28669])).
% 35.07/23.70 tff(28672,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 35.07/23.70 tff(28673,plain,
% 35.07/23.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28674,plain,
% 35.07/23.70 ((v26(constB187) | (~v113(constB187)) | v112(constB187)) <=> (v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28675,plain,
% 35.07/23.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187))))),
% 35.07/23.70 inference(monotonicity,[status(thm)],[28674])).
% 35.07/23.70 tff(28676,plain,
% 35.07/23.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 35.07/23.70 inference(transitivity,[status(thm)],[28675, 28673])).
% 35.07/23.70 tff(28677,plain,
% 35.07/23.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28678,plain,
% 35.07/23.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187))),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28677, 28676])).
% 35.07/23.70 tff(28679,plain,
% 35.07/23.70 (v112(constB187) | (~v113(constB187))),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28678, 556, 28672])).
% 35.07/23.70 tff(28680,plain,
% 35.07/23.70 (v112(constB187)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28679, 28668])).
% 35.07/23.70 tff(28681,plain,
% 35.07/23.70 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB187) | (~v112(constB187)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28682,plain,
% 35.07/23.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB187) | (~v112(constB187)))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28683,plain,
% 35.07/23.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB187) | (~v112(constB187))),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28682, 28681])).
% 35.07/23.70 tff(28684,plain,
% 35.07/23.70 (v108(constB187)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28683, 568, 28680])).
% 35.07/23.70 tff(28685,plain,
% 35.07/23.70 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28686,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 35.07/23.70 tff(28687,plain,
% 35.07/23.70 (nextState(constB187, constB188)),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28686, 28685])).
% 35.07/23.70 tff(28688,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28689,plain,
% 35.07/23.70 (((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188)) <=> ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28690,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))))),
% 35.07/23.70 inference(monotonicity,[status(thm)],[28689])).
% 35.07/23.70 tff(28691,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 35.07/23.70 inference(transitivity,[status(thm)],[28690, 28688])).
% 35.07/23.70 tff(28692,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28693,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28692, 28691])).
% 35.07/23.70 tff(28694,plain,
% 35.07/23.70 (v110(constB188) | (~v108(constB187))),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28693, 585, 28687])).
% 35.07/23.70 tff(28695,plain,
% 35.07/23.70 (v110(constB188)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28694, 28684])).
% 35.07/23.70 tff(28696,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28697,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28698,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188))),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28697, 28696])).
% 35.07/23.70 tff(28699,plain,
% 35.07/23.70 (~v104(constB188)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28698, 603, 28687, 28562])).
% 35.07/23.70 tff(28700,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28701,plain,
% 35.07/23.70 (((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188)) <=> ((~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28702,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v102(constB188)))),
% 35.07/23.70 inference(monotonicity,[status(thm)],[28701])).
% 35.07/23.70 tff(28703,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))),
% 35.07/23.70 inference(transitivity,[status(thm)],[28702, 28700])).
% 35.07/23.70 tff(28704,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28705,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | v102(constB188)),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28704, 28703])).
% 35.07/23.70 tff(28706,plain,
% 35.07/23.70 (v104(constB188) | v102(constB188)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28705, 617, 28687])).
% 35.07/23.70 tff(28707,plain,
% 35.07/23.70 (v102(constB188)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28706, 28699])).
% 35.07/23.70 tff(28708,plain,
% 35.07/23.70 (v1(constB188) <=> v1(constB188)),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28709,axiom,(v1(constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 35.07/23.70 tff(28710,plain,
% 35.07/23.70 (v1(constB188)),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28709, 28708])).
% 35.07/23.70 tff(28711,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28712,plain,
% 35.07/23.70 (((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188))) <=> ((~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28713,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188))))),
% 35.07/23.70 inference(monotonicity,[status(thm)],[28712])).
% 35.07/23.70 tff(28714,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))),
% 35.07/23.70 inference(transitivity,[status(thm)],[28713, 28711])).
% 35.07/23.70 tff(28715,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28716,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188))),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28715, 28714])).
% 35.07/23.70 tff(28717,plain,
% 35.07/23.70 (v101(constB188) | (~v102(constB188))),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28716, 638, 28687, 28710])).
% 35.07/23.70 tff(28718,plain,
% 35.07/23.70 (v101(constB188)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28717, 28707])).
% 35.07/23.70 tff(28719,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28720,plain,
% 35.07/23.70 (((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188)) <=> ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28721,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))))),
% 35.07/23.70 inference(monotonicity,[status(thm)],[28720])).
% 35.07/23.70 tff(28722,plain,
% 35.07/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 35.07/23.70 inference(transitivity,[status(thm)],[28721, 28719])).
% 35.07/23.70 tff(28723,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28724,plain,
% 35.07/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28723, 28722])).
% 35.07/23.70 tff(28725,plain,
% 35.07/23.70 (v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28724, 656, 28687])).
% 35.07/23.70 tff(28726,plain,
% 35.07/23.70 (v100(constB188) | (~v110(constB188))),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28725, 28718])).
% 35.07/23.70 tff(28727,plain,
% 35.07/23.70 (v100(constB188)),
% 35.07/23.70 inference(unit_resolution,[status(thm)],[28726, 28695])).
% 35.07/23.70 tff(28728,plain,
% 35.07/23.70 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB187)) | v130(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB187)) | v130(constB187, bitIndex2))),
% 35.07/23.70 inference(rewrite,[status(thm)],[])).
% 35.07/23.70 tff(28729,plain,
% 35.07/23.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB187)) | v130(constB187, bitIndex2))),
% 35.07/23.70 inference(quant_inst,[status(thm)],[])).
% 35.07/23.70 tff(28730,plain,
% 35.07/23.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB187)) | v130(constB187, bitIndex2)),
% 35.07/23.70 inference(modus_ponens,[status(thm)],[28729, 28728])).
% 35.07/23.71 tff(28731,plain,
% 35.07/23.71 (v130(constB187, bitIndex2)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28730, 1578, 28652])).
% 35.07/23.71 tff(28732,plain,
% 35.07/23.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28733,plain,
% 35.07/23.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28734,plain,
% 35.07/23.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2)),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28733, 28732])).
% 35.07/23.71 tff(28735,plain,
% 35.07/23.71 ((~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28734, 1592, 28672])).
% 35.07/23.71 tff(28736,plain,
% 35.07/23.71 (v127(constB187, bitIndex2)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28735, 28731])).
% 35.07/23.71 tff(28737,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28738,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28739,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2)),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28738, 28737])).
% 35.07/23.71 tff(28740,plain,
% 35.07/23.71 ((~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28739, 1607, 28687])).
% 35.07/23.71 tff(28741,plain,
% 35.07/23.71 (v129(constB188, bitIndex2)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28740, 28736])).
% 35.07/23.71 tff(28742,plain,
% 35.07/23.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28743,plain,
% 35.07/23.71 ((v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2))) <=> (v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28744,plain,
% 35.07/23.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188))))),
% 35.07/23.71 inference(monotonicity,[status(thm)],[28743])).
% 35.07/23.71 tff(28745,plain,
% 35.07/23.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))),
% 35.07/23.71 inference(transitivity,[status(thm)],[28744, 28742])).
% 35.07/23.71 tff(28746,plain,
% 35.07/23.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2)))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28747,plain,
% 35.07/23.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188))),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28746, 28745])).
% 35.07/23.71 tff(28748,plain,
% 35.07/23.71 (v90(constB188, bitIndex2) | (~v100(constB188))),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28747, 1622, 28741])).
% 35.07/23.71 tff(28749,plain,
% 35.07/23.71 (v90(constB188, bitIndex2)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28748, 28727])).
% 35.07/23.71 tff(28750,plain,
% 35.07/23.71 ((~v1(constB189)) <=> (~v1(constB189))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28751,axiom,(~v1(constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 35.07/23.71 tff(28752,plain,
% 35.07/23.71 (~v1(constB189)),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28751, 28750])).
% 35.07/23.71 tff(28753,plain,
% 35.07/23.71 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28754,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 35.07/23.71 tff(28755,plain,
% 35.07/23.71 (nextState(constB188, constB189)),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28754, 28753])).
% 35.07/23.71 tff(28756,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28757,plain,
% 35.07/23.71 (((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28758,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))))),
% 35.07/23.71 inference(monotonicity,[status(thm)],[28757])).
% 35.07/23.71 tff(28759,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 35.07/23.71 inference(transitivity,[status(thm)],[28758, 28756])).
% 35.07/23.71 tff(28760,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28761,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28760, 28759])).
% 35.07/23.71 tff(28762,plain,
% 35.07/23.71 (~v101(constB189)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28761, 381, 28755, 28752])).
% 35.07/23.71 tff(28763,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28764,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28765,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189))),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28764, 28763])).
% 35.07/23.71 tff(28766,plain,
% 35.07/23.71 (v101(constB189) | (~v100(constB189))),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28765, 398, 28755])).
% 35.07/23.71 tff(28767,plain,
% 35.07/23.71 (~v100(constB189)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28766, 28762])).
% 35.07/23.71 tff(28768,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28769,plain,
% 35.07/23.71 (((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2)) <=> ((~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28770,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2)))),
% 35.07/23.71 inference(monotonicity,[status(thm)],[28769])).
% 35.07/23.71 tff(28771,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))),
% 35.07/23.71 inference(transitivity,[status(thm)],[28770, 28768])).
% 35.07/23.71 tff(28772,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28773,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2)),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28772, 28771])).
% 35.07/23.71 tff(28774,plain,
% 35.07/23.71 ((~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28773, 1658, 28755])).
% 35.07/23.71 tff(28775,plain,
% 35.07/23.71 ((~v90(constB188, bitIndex2)) | v90(constB189, bitIndex2)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28774, 28767])).
% 35.07/23.71 tff(28776,plain,
% 35.07/23.71 (v90(constB189, bitIndex2)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28775, 28749])).
% 35.07/23.71 tff(28777,plain,
% 35.07/23.71 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB187)) | (~v130(constB187, bitIndex1)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28778,plain,
% 35.07/23.71 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex1)))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28779,plain,
% 35.07/23.71 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB187)) | (~v130(constB187, bitIndex1))),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28778, 28777])).
% 35.07/23.71 tff(28780,plain,
% 35.07/23.71 (~v130(constB187, bitIndex1)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28779, 1677, 28652])).
% 35.07/23.71 tff(28781,plain,
% 35.07/23.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28782,plain,
% 35.07/23.71 ((v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1))) <=> ((~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28783,plain,
% 35.07/23.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1)))),
% 35.07/23.71 inference(monotonicity,[status(thm)],[28782])).
% 35.07/23.71 tff(28784,plain,
% 35.07/23.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))),
% 35.07/23.71 inference(transitivity,[status(thm)],[28783, 28781])).
% 35.07/23.71 tff(28785,plain,
% 35.07/23.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1)))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28786,plain,
% 35.07/23.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1)),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28785, 28784])).
% 35.07/23.71 tff(28787,plain,
% 35.07/23.71 ((~v127(constB187, bitIndex1)) | v130(constB187, bitIndex1)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28786, 781, 28672])).
% 35.07/23.71 tff(28788,plain,
% 35.07/23.71 (~v127(constB187, bitIndex1)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28787, 28780])).
% 35.07/23.71 tff(28789,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28790,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1)))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28791,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1))),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28790, 28789])).
% 35.07/23.71 tff(28792,plain,
% 35.07/23.71 (v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1))),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28791, 799, 28687])).
% 35.07/23.71 tff(28793,plain,
% 35.07/23.71 (~v129(constB188, bitIndex1)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28792, 28788])).
% 35.07/23.71 tff(28794,plain,
% 35.07/23.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28795,plain,
% 35.07/23.71 (((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1)) <=> ((~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28796,plain,
% 35.07/23.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188))))),
% 35.07/23.71 inference(monotonicity,[status(thm)],[28795])).
% 35.07/23.71 tff(28797,plain,
% 35.07/23.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))),
% 35.07/23.71 inference(transitivity,[status(thm)],[28796, 28794])).
% 35.07/23.71 tff(28798,plain,
% 35.07/23.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28799,plain,
% 35.07/23.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188))),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28798, 28797])).
% 35.07/23.71 tff(28800,plain,
% 35.07/23.71 ((~v90(constB188, bitIndex1)) | (~v100(constB188))),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28799, 814, 28793])).
% 35.07/23.71 tff(28801,plain,
% 35.07/23.71 (~v90(constB188, bitIndex1)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28800, 28727])).
% 35.07/23.71 tff(28802,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28803,plain,
% 35.07/23.71 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1))) <=> (v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28804,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1))))),
% 35.07/23.71 inference(monotonicity,[status(thm)],[28803])).
% 35.07/23.71 tff(28805,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 35.07/23.71 inference(transitivity,[status(thm)],[28804, 28802])).
% 35.07/23.71 tff(28806,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28807,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1))),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28806, 28805])).
% 35.07/23.71 tff(28808,plain,
% 35.07/23.71 (v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1))),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28807, 434, 28755])).
% 35.07/23.71 tff(28809,plain,
% 35.07/23.71 (v90(constB188, bitIndex1) | (~v90(constB189, bitIndex1))),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28808, 28767])).
% 35.07/23.71 tff(28810,plain,
% 35.07/23.71 (~v90(constB189, bitIndex1)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28809, 28801])).
% 35.07/23.71 tff(28811,plain,
% 35.07/23.71 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB187)) | (~v130(constB187, bitIndex0)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28812,plain,
% 35.07/23.71 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex0)))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28813,plain,
% 35.07/23.71 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB187)) | (~v130(constB187, bitIndex0))),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28812, 28811])).
% 35.07/23.71 tff(28814,plain,
% 35.07/23.71 (~v130(constB187, bitIndex0)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28813, 1721, 28652])).
% 35.07/23.71 tff(28815,plain,
% 35.07/23.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28816,plain,
% 35.07/23.71 ((v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0))) <=> ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28817,plain,
% 35.07/23.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)))),
% 35.07/23.71 inference(monotonicity,[status(thm)],[28816])).
% 35.07/23.71 tff(28818,plain,
% 35.07/23.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 35.07/23.71 inference(transitivity,[status(thm)],[28817, 28815])).
% 35.07/23.71 tff(28819,plain,
% 35.07/23.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28820,plain,
% 35.07/23.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28819, 28818])).
% 35.07/23.71 tff(28821,plain,
% 35.07/23.71 ((~v127(constB187, bitIndex0)) | v130(constB187, bitIndex0)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28820, 1182, 28672])).
% 35.07/23.71 tff(28822,plain,
% 35.07/23.71 (~v127(constB187, bitIndex0)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28821, 28814])).
% 35.07/23.71 tff(28823,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28824,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28825,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28824, 28823])).
% 35.07/23.71 tff(28826,plain,
% 35.07/23.71 (v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28825, 1200, 28687])).
% 35.07/23.71 tff(28827,plain,
% 35.07/23.71 (~v129(constB188, bitIndex0)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28826, 28822])).
% 35.07/23.71 tff(28828,plain,
% 35.07/23.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28829,plain,
% 35.07/23.71 (((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0)) <=> ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28830,plain,
% 35.07/23.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))))),
% 35.07/23.71 inference(monotonicity,[status(thm)],[28829])).
% 35.07/23.71 tff(28831,plain,
% 35.07/23.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 35.07/23.71 inference(transitivity,[status(thm)],[28830, 28828])).
% 35.07/23.71 tff(28832,plain,
% 35.07/23.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28833,plain,
% 35.07/23.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28832, 28831])).
% 35.07/23.71 tff(28834,plain,
% 35.07/23.71 ((~v90(constB188, bitIndex0)) | (~v100(constB188))),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28833, 1215, 28827])).
% 35.07/23.71 tff(28835,plain,
% 35.07/23.71 (~v90(constB188, bitIndex0)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28834, 28727])).
% 35.07/23.71 tff(28836,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28837,plain,
% 35.07/23.71 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))) <=> (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28838,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0))))),
% 35.07/23.71 inference(monotonicity,[status(thm)],[28837])).
% 35.07/23.71 tff(28839,plain,
% 35.07/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 35.07/23.71 inference(transitivity,[status(thm)],[28838, 28836])).
% 35.07/23.71 tff(28840,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.71 tff(28841,plain,
% 35.07/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 35.07/23.71 inference(modus_ponens,[status(thm)],[28840, 28839])).
% 35.07/23.71 tff(28842,plain,
% 35.07/23.71 (v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28841, 455, 28755])).
% 35.07/23.71 tff(28843,plain,
% 35.07/23.71 (v90(constB188, bitIndex0) | (~v90(constB189, bitIndex0))),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28842, 28767])).
% 35.07/23.71 tff(28844,plain,
% 35.07/23.71 (~v90(constB189, bitIndex0)),
% 35.07/23.71 inference(unit_resolution,[status(thm)],[28843, 28835])).
% 35.07/23.71 tff(28845,plain,
% 35.07/23.71 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189))),
% 35.07/23.71 inference(rewrite,[status(thm)],[])).
% 35.07/23.71 tff(28846,plain,
% 35.07/23.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189))),
% 35.07/23.71 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28847,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189)),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28846, 28845])).
% 35.07/23.72 tff(28848,plain,
% 35.07/23.72 (v123(constB189)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28847, 1765, 28844, 28810, 28776])).
% 35.07/23.72 tff(28849,plain,
% 35.07/23.72 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB189) | (~v123(constB189)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB189) | (~v123(constB189)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28850,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB189) | (~v123(constB189)))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28851,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB189) | (~v123(constB189))),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28850, 28849])).
% 35.07/23.72 tff(28852,plain,
% 35.07/23.72 (v115(constB189)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28851, 1776, 28848])).
% 35.07/23.72 tff(28853,plain,
% 35.07/23.72 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB189) | (~v115(constB189)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB189) | (~v115(constB189)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28854,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB189) | (~v115(constB189)))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28855,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB189) | (~v115(constB189))),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28854, 28853])).
% 35.07/23.72 tff(28856,plain,
% 35.07/23.72 (v114(constB189)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28855, 531, 28852])).
% 35.07/23.72 tff(28857,plain,
% 35.07/23.72 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB189) | (~v114(constB189)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB189) | (~v114(constB189)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28858,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB189) | (~v114(constB189)))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28859,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB189) | (~v114(constB189))),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28858, 28857])).
% 35.07/23.72 tff(28860,plain,
% 35.07/23.72 (v113(constB189)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28859, 542, 28856])).
% 35.07/23.72 tff(28861,assumption,(v26(constB189)), introduced(assumption)).
% 35.07/23.72 tff(28862,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB189))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28863,plain,
% 35.07/23.72 ($false),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28862, 120, 28861])).
% 35.07/23.72 tff(28864,plain,(~v26(constB189)), inference(lemma,lemma(discharge,[]))).
% 35.07/23.72 tff(28865,plain,
% 35.07/23.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28866,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28867,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189)),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28866, 28865])).
% 35.07/23.72 tff(28868,plain,
% 35.07/23.72 ((~v113(constB189)) | v112(constB189)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28867, 556, 28864])).
% 35.07/23.72 tff(28869,plain,
% 35.07/23.72 (v112(constB189)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28868, 28860])).
% 35.07/23.72 tff(28870,plain,
% 35.07/23.72 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB189) | (~v112(constB189)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB189) | (~v112(constB189)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28871,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB189) | (~v112(constB189)))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28872,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB189) | (~v112(constB189))),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28871, 28870])).
% 35.07/23.72 tff(28873,plain,
% 35.07/23.72 (v108(constB189)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28872, 568, 28869])).
% 35.07/23.72 tff(28874,plain,
% 35.07/23.72 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28875,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 35.07/23.72 tff(28876,plain,
% 35.07/23.72 (nextState(constB189, constB190)),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28875, 28874])).
% 35.07/23.72 tff(28877,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28878,plain,
% 35.07/23.72 (((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190)) <=> ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28879,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))))),
% 35.07/23.72 inference(monotonicity,[status(thm)],[28878])).
% 35.07/23.72 tff(28880,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 35.07/23.72 inference(transitivity,[status(thm)],[28879, 28877])).
% 35.07/23.72 tff(28881,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28882,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28881, 28880])).
% 35.07/23.72 tff(28883,plain,
% 35.07/23.72 (v110(constB190) | (~v108(constB189))),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28882, 585, 28876])).
% 35.07/23.72 tff(28884,plain,
% 35.07/23.72 (v110(constB190)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28883, 28873])).
% 35.07/23.72 tff(28885,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28886,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28887,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190))),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28886, 28885])).
% 35.07/23.72 tff(28888,plain,
% 35.07/23.72 (~v104(constB190)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28887, 603, 28876, 28752])).
% 35.07/23.72 tff(28889,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28890,plain,
% 35.07/23.72 (((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190)) <=> ((~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28891,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | v102(constB190)))),
% 35.07/23.72 inference(monotonicity,[status(thm)],[28890])).
% 35.07/23.72 tff(28892,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))),
% 35.07/23.72 inference(transitivity,[status(thm)],[28891, 28889])).
% 35.07/23.72 tff(28893,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28894,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | v102(constB190)),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28893, 28892])).
% 35.07/23.72 tff(28895,plain,
% 35.07/23.72 (v104(constB190) | v102(constB190)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28894, 617, 28876])).
% 35.07/23.72 tff(28896,plain,
% 35.07/23.72 (v102(constB190)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28895, 28888])).
% 35.07/23.72 tff(28897,plain,
% 35.07/23.72 (v1(constB190) <=> v1(constB190)),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28898,axiom,(v1(constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 35.07/23.72 tff(28899,plain,
% 35.07/23.72 (v1(constB190)),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28898, 28897])).
% 35.07/23.72 tff(28900,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28901,plain,
% 35.07/23.72 (((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190))) <=> ((~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28902,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190))))),
% 35.07/23.72 inference(monotonicity,[status(thm)],[28901])).
% 35.07/23.72 tff(28903,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))),
% 35.07/23.72 inference(transitivity,[status(thm)],[28902, 28900])).
% 35.07/23.72 tff(28904,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28905,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190))),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28904, 28903])).
% 35.07/23.72 tff(28906,plain,
% 35.07/23.72 (v101(constB190) | (~v102(constB190))),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28905, 638, 28876, 28899])).
% 35.07/23.72 tff(28907,plain,
% 35.07/23.72 (v101(constB190)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28906, 28896])).
% 35.07/23.72 tff(28908,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28909,plain,
% 35.07/23.72 (((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190)) <=> ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28910,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))))),
% 35.07/23.72 inference(monotonicity,[status(thm)],[28909])).
% 35.07/23.72 tff(28911,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 35.07/23.72 inference(transitivity,[status(thm)],[28910, 28908])).
% 35.07/23.72 tff(28912,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28913,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28912, 28911])).
% 35.07/23.72 tff(28914,plain,
% 35.07/23.72 (v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28913, 656, 28876])).
% 35.07/23.72 tff(28915,plain,
% 35.07/23.72 (v100(constB190) | (~v110(constB190))),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28914, 28907])).
% 35.07/23.72 tff(28916,plain,
% 35.07/23.72 (v100(constB190)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28915, 28884])).
% 35.07/23.72 tff(28917,plain,
% 35.07/23.72 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB189)) | v130(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB189)) | v130(constB189, bitIndex2))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28918,plain,
% 35.07/23.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB189)) | v130(constB189, bitIndex2))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28919,plain,
% 35.07/23.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB189)) | v130(constB189, bitIndex2)),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28918, 28917])).
% 35.07/23.72 tff(28920,plain,
% 35.07/23.72 (v130(constB189, bitIndex2)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28919, 1850, 28848])).
% 35.07/23.72 tff(28921,plain,
% 35.07/23.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28922,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28923,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2)),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28922, 28921])).
% 35.07/23.72 tff(28924,plain,
% 35.07/23.72 ((~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28923, 1592, 28864])).
% 35.07/23.72 tff(28925,plain,
% 35.07/23.72 (v127(constB189, bitIndex2)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28924, 28920])).
% 35.07/23.72 tff(28926,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28927,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28928,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2)),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28927, 28926])).
% 35.07/23.72 tff(28929,plain,
% 35.07/23.72 ((~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28928, 1607, 28876])).
% 35.07/23.72 tff(28930,plain,
% 35.07/23.72 (v129(constB190, bitIndex2)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28929, 28925])).
% 35.07/23.72 tff(28931,plain,
% 35.07/23.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28932,plain,
% 35.07/23.72 ((v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2))) <=> (v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28933,plain,
% 35.07/23.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190))))),
% 35.07/23.72 inference(monotonicity,[status(thm)],[28932])).
% 35.07/23.72 tff(28934,plain,
% 35.07/23.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))),
% 35.07/23.72 inference(transitivity,[status(thm)],[28933, 28931])).
% 35.07/23.72 tff(28935,plain,
% 35.07/23.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2)))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28936,plain,
% 35.07/23.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190))),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28935, 28934])).
% 35.07/23.72 tff(28937,plain,
% 35.07/23.72 (v90(constB190, bitIndex2) | (~v100(constB190))),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28936, 1622, 28930])).
% 35.07/23.72 tff(28938,plain,
% 35.07/23.72 (v90(constB190, bitIndex2)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28937, 28916])).
% 35.07/23.72 tff(28939,plain,
% 35.07/23.72 ((~v1(constB191)) <=> (~v1(constB191))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28940,axiom,(~v1(constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 35.07/23.72 tff(28941,plain,
% 35.07/23.72 (~v1(constB191)),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28940, 28939])).
% 35.07/23.72 tff(28942,plain,
% 35.07/23.72 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28943,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 35.07/23.72 tff(28944,plain,
% 35.07/23.72 (nextState(constB190, constB191)),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28943, 28942])).
% 35.07/23.72 tff(28945,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28946,plain,
% 35.07/23.72 (((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28947,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))))),
% 35.07/23.72 inference(monotonicity,[status(thm)],[28946])).
% 35.07/23.72 tff(28948,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 35.07/23.72 inference(transitivity,[status(thm)],[28947, 28945])).
% 35.07/23.72 tff(28949,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28950,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28949, 28948])).
% 35.07/23.72 tff(28951,plain,
% 35.07/23.72 (~v101(constB191)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28950, 381, 28944, 28941])).
% 35.07/23.72 tff(28952,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28953,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28954,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191))),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28953, 28952])).
% 35.07/23.72 tff(28955,plain,
% 35.07/23.72 (v101(constB191) | (~v100(constB191))),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28954, 398, 28944])).
% 35.07/23.72 tff(28956,plain,
% 35.07/23.72 (~v100(constB191)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28955, 28951])).
% 35.07/23.72 tff(28957,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28958,plain,
% 35.07/23.72 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2)) <=> ((~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28959,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2)))),
% 35.07/23.72 inference(monotonicity,[status(thm)],[28958])).
% 35.07/23.72 tff(28960,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))),
% 35.07/23.72 inference(transitivity,[status(thm)],[28959, 28957])).
% 35.07/23.72 tff(28961,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28962,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2)),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28961, 28960])).
% 35.07/23.72 tff(28963,plain,
% 35.07/23.72 ((~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28962, 1658, 28944])).
% 35.07/23.72 tff(28964,plain,
% 35.07/23.72 ((~v90(constB190, bitIndex2)) | v90(constB191, bitIndex2)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28963, 28956])).
% 35.07/23.72 tff(28965,plain,
% 35.07/23.72 (v90(constB191, bitIndex2)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28964, 28938])).
% 35.07/23.72 tff(28966,plain,
% 35.07/23.72 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB189)) | (~v130(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB189)) | (~v130(constB189, bitIndex1)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28967,plain,
% 35.07/23.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB189)) | (~v130(constB189, bitIndex1)))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28968,plain,
% 35.07/23.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB189)) | (~v130(constB189, bitIndex1))),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28967, 28966])).
% 35.07/23.72 tff(28969,plain,
% 35.07/23.72 (~v130(constB189, bitIndex1)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28968, 1909, 28848])).
% 35.07/23.72 tff(28970,plain,
% 35.07/23.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28971,plain,
% 35.07/23.72 ((v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1))) <=> ((~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28972,plain,
% 35.07/23.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1)))),
% 35.07/23.72 inference(monotonicity,[status(thm)],[28971])).
% 35.07/23.72 tff(28973,plain,
% 35.07/23.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))),
% 35.07/23.72 inference(transitivity,[status(thm)],[28972, 28970])).
% 35.07/23.72 tff(28974,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1)))),
% 35.07/23.72 inference(quant_inst,[status(thm)],[])).
% 35.07/23.72 tff(28975,plain,
% 35.07/23.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1)),
% 35.07/23.72 inference(modus_ponens,[status(thm)],[28974, 28973])).
% 35.07/23.72 tff(28976,plain,
% 35.07/23.72 ((~v127(constB189, bitIndex1)) | v130(constB189, bitIndex1)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28975, 781, 28864])).
% 35.07/23.72 tff(28977,plain,
% 35.07/23.72 (~v127(constB189, bitIndex1)),
% 35.07/23.72 inference(unit_resolution,[status(thm)],[28976, 28969])).
% 35.07/23.72 tff(28978,plain,
% 35.07/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1)))),
% 35.07/23.72 inference(rewrite,[status(thm)],[])).
% 35.07/23.72 tff(28979,plain,
% 35.07/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1)))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(28980,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1))),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[28979, 28978])).
% 35.07/23.73 tff(28981,plain,
% 35.07/23.73 (v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1))),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[28980, 799, 28876])).
% 35.07/23.73 tff(28982,plain,
% 35.07/23.73 (~v129(constB190, bitIndex1)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[28981, 28977])).
% 35.07/23.73 tff(28983,plain,
% 35.07/23.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(28984,plain,
% 35.07/23.73 (((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1)) <=> ((~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(28985,plain,
% 35.07/23.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190))))),
% 35.07/23.73 inference(monotonicity,[status(thm)],[28984])).
% 35.07/23.73 tff(28986,plain,
% 35.07/23.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))),
% 35.07/23.73 inference(transitivity,[status(thm)],[28985, 28983])).
% 35.07/23.73 tff(28987,plain,
% 35.07/23.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(28988,plain,
% 35.07/23.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190))),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[28987, 28986])).
% 35.07/23.73 tff(28989,plain,
% 35.07/23.73 ((~v90(constB190, bitIndex1)) | (~v100(constB190))),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[28988, 814, 28982])).
% 35.07/23.73 tff(28990,plain,
% 35.07/23.73 (~v90(constB190, bitIndex1)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[28989, 28916])).
% 35.07/23.73 tff(28991,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(28992,plain,
% 35.07/23.73 (((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1))) <=> (v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(28993,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1))))),
% 35.07/23.73 inference(monotonicity,[status(thm)],[28992])).
% 35.07/23.73 tff(28994,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 35.07/23.73 inference(transitivity,[status(thm)],[28993, 28991])).
% 35.07/23.73 tff(28995,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(28996,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1))),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[28995, 28994])).
% 35.07/23.73 tff(28997,plain,
% 35.07/23.73 (v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1))),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[28996, 434, 28944])).
% 35.07/23.73 tff(28998,plain,
% 35.07/23.73 (v90(constB190, bitIndex1) | (~v90(constB191, bitIndex1))),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[28997, 28956])).
% 35.07/23.73 tff(28999,plain,
% 35.07/23.73 (~v90(constB191, bitIndex1)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[28998, 28990])).
% 35.07/23.73 tff(29000,plain,
% 35.07/23.73 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB189)) | v130(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB189)) | v130(constB189, bitIndex0))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29001,plain,
% 35.07/23.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB189)) | v130(constB189, bitIndex0))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29002,plain,
% 35.07/23.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB189)) | v130(constB189, bitIndex0)),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29001, 29000])).
% 35.07/23.73 tff(29003,plain,
% 35.07/23.73 (v130(constB189, bitIndex0)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29002, 1953, 28848])).
% 35.07/23.73 tff(29004,plain,
% 35.07/23.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29005,plain,
% 35.07/23.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29006,plain,
% 35.07/23.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29005, 29004])).
% 35.07/23.73 tff(29007,plain,
% 35.07/23.73 ((~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29006, 855, 28864])).
% 35.07/23.73 tff(29008,plain,
% 35.07/23.73 (v127(constB189, bitIndex0)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29007, 29003])).
% 35.07/23.73 tff(29009,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29010,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29011,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29010, 29009])).
% 35.07/23.73 tff(29012,plain,
% 35.07/23.73 ((~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29011, 870, 28876])).
% 35.07/23.73 tff(29013,plain,
% 35.07/23.73 (v129(constB190, bitIndex0)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29012, 29008])).
% 35.07/23.73 tff(29014,plain,
% 35.07/23.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29015,plain,
% 35.07/23.73 ((v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0))) <=> (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29016,plain,
% 35.07/23.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))))),
% 35.07/23.73 inference(monotonicity,[status(thm)],[29015])).
% 35.07/23.73 tff(29017,plain,
% 35.07/23.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 35.07/23.73 inference(transitivity,[status(thm)],[29016, 29014])).
% 35.07/23.73 tff(29018,plain,
% 35.07/23.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29019,plain,
% 35.07/23.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29018, 29017])).
% 35.07/23.73 tff(29020,plain,
% 35.07/23.73 (v90(constB190, bitIndex0) | (~v100(constB190))),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29019, 885, 29013])).
% 35.07/23.73 tff(29021,plain,
% 35.07/23.73 (v90(constB190, bitIndex0)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29020, 28916])).
% 35.07/23.73 tff(29022,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29023,plain,
% 35.07/23.73 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)) <=> ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29024,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0)))),
% 35.07/23.73 inference(monotonicity,[status(thm)],[29023])).
% 35.07/23.73 tff(29025,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 35.07/23.73 inference(transitivity,[status(thm)],[29024, 29022])).
% 35.07/23.73 tff(29026,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29027,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0)),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29026, 29025])).
% 35.07/23.73 tff(29028,plain,
% 35.07/23.73 ((~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29027, 903, 28944])).
% 35.07/23.73 tff(29029,plain,
% 35.07/23.73 ((~v90(constB190, bitIndex0)) | v90(constB191, bitIndex0)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29028, 28956])).
% 35.07/23.73 tff(29030,plain,
% 35.07/23.73 (v90(constB191, bitIndex0)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29029, 29021])).
% 35.07/23.73 tff(29031,plain,
% 35.07/23.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29032,plain,
% 35.07/23.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29033,plain,
% 35.07/23.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191)),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29032, 29031])).
% 35.07/23.73 tff(29034,plain,
% 35.07/23.73 (v124(constB191)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29033, 1994, 29030, 28999, 28965])).
% 35.07/23.73 tff(29035,plain,
% 35.07/23.73 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB191) | (~v124(constB191)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB191) | (~v124(constB191)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29036,plain,
% 35.07/23.73 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB191) | (~v124(constB191)))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29037,plain,
% 35.07/23.73 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB191) | (~v124(constB191))),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29036, 29035])).
% 35.07/23.73 tff(29038,plain,
% 35.07/23.73 (v114(constB191)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29037, 2005, 29034])).
% 35.07/23.73 tff(29039,plain,
% 35.07/23.73 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB191) | (~v114(constB191)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB191) | (~v114(constB191)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29040,plain,
% 35.07/23.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB191) | (~v114(constB191)))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29041,plain,
% 35.07/23.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB191) | (~v114(constB191))),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29040, 29039])).
% 35.07/23.73 tff(29042,plain,
% 35.07/23.73 (v113(constB191)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29041, 542, 29038])).
% 35.07/23.73 tff(29043,assumption,(v26(constB191)), introduced(assumption)).
% 35.07/23.73 tff(29044,plain,
% 35.07/23.73 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB191))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29045,plain,
% 35.07/23.73 ($false),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29044, 120, 29043])).
% 35.07/23.73 tff(29046,plain,(~v26(constB191)), inference(lemma,lemma(discharge,[]))).
% 35.07/23.73 tff(29047,plain,
% 35.07/23.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | v112(constB191) | (~v113(constB191)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29048,plain,
% 35.07/23.73 ((v26(constB191) | (~v113(constB191)) | v112(constB191)) <=> (v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29049,plain,
% 35.07/23.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | v112(constB191) | (~v113(constB191))))),
% 35.07/23.73 inference(monotonicity,[status(thm)],[29048])).
% 35.07/23.73 tff(29050,plain,
% 35.07/23.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 35.07/23.73 inference(transitivity,[status(thm)],[29049, 29047])).
% 35.07/23.73 tff(29051,plain,
% 35.07/23.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29052,plain,
% 35.07/23.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191))),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29051, 29050])).
% 35.07/23.73 tff(29053,plain,
% 35.07/23.73 (v112(constB191) | (~v113(constB191))),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29052, 556, 29046])).
% 35.07/23.73 tff(29054,plain,
% 35.07/23.73 (v112(constB191)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29053, 29042])).
% 35.07/23.73 tff(29055,plain,
% 35.07/23.73 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB191) | (~v112(constB191)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB191) | (~v112(constB191)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29056,plain,
% 35.07/23.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB191) | (~v112(constB191)))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29057,plain,
% 35.07/23.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB191) | (~v112(constB191))),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29056, 29055])).
% 35.07/23.73 tff(29058,plain,
% 35.07/23.73 (v108(constB191)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29057, 568, 29054])).
% 35.07/23.73 tff(29059,plain,
% 35.07/23.73 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29060,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 35.07/23.73 tff(29061,plain,
% 35.07/23.73 (nextState(constB191, constB192)),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29060, 29059])).
% 35.07/23.73 tff(29062,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29063,plain,
% 35.07/23.73 (((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192)) <=> ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29064,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))))),
% 35.07/23.73 inference(monotonicity,[status(thm)],[29063])).
% 35.07/23.73 tff(29065,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 35.07/23.73 inference(transitivity,[status(thm)],[29064, 29062])).
% 35.07/23.73 tff(29066,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29067,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29066, 29065])).
% 35.07/23.73 tff(29068,plain,
% 35.07/23.73 (v110(constB192) | (~v108(constB191))),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29067, 585, 29061])).
% 35.07/23.73 tff(29069,plain,
% 35.07/23.73 (v110(constB192)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29068, 29058])).
% 35.07/23.73 tff(29070,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29071,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29072,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192))),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29071, 29070])).
% 35.07/23.73 tff(29073,plain,
% 35.07/23.73 (~v104(constB192)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29072, 603, 29061, 28941])).
% 35.07/23.73 tff(29074,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | v102(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | v102(constB192))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29075,plain,
% 35.07/23.73 (((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192)) <=> ((~nextState(constB191, constB192)) | v104(constB192) | v102(constB192))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29076,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | v102(constB192)))),
% 35.07/23.73 inference(monotonicity,[status(thm)],[29075])).
% 35.07/23.73 tff(29077,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | v102(constB192))),
% 35.07/23.73 inference(transitivity,[status(thm)],[29076, 29074])).
% 35.07/23.73 tff(29078,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29079,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | v102(constB192)),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29078, 29077])).
% 35.07/23.73 tff(29080,plain,
% 35.07/23.73 (v104(constB192) | v102(constB192)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29079, 617, 29061])).
% 35.07/23.73 tff(29081,plain,
% 35.07/23.73 (v102(constB192)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29080, 29073])).
% 35.07/23.73 tff(29082,plain,
% 35.07/23.73 (v1(constB192) <=> v1(constB192)),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29083,axiom,(v1(constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 35.07/23.73 tff(29084,plain,
% 35.07/23.73 (v1(constB192)),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29083, 29082])).
% 35.07/23.73 tff(29085,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29086,plain,
% 35.07/23.73 (((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192))) <=> ((~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29087,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192))))),
% 35.07/23.73 inference(monotonicity,[status(thm)],[29086])).
% 35.07/23.73 tff(29088,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192)))),
% 35.07/23.73 inference(transitivity,[status(thm)],[29087, 29085])).
% 35.07/23.73 tff(29089,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29090,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192))),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29089, 29088])).
% 35.07/23.73 tff(29091,plain,
% 35.07/23.73 (v101(constB192) | (~v102(constB192))),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29090, 638, 29061, 29084])).
% 35.07/23.73 tff(29092,plain,
% 35.07/23.73 (v101(constB192)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29091, 29081])).
% 35.07/23.73 tff(29093,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29094,plain,
% 35.07/23.73 (((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192)) <=> ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29095,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))))),
% 35.07/23.73 inference(monotonicity,[status(thm)],[29094])).
% 35.07/23.73 tff(29096,plain,
% 35.07/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 35.07/23.73 inference(transitivity,[status(thm)],[29095, 29093])).
% 35.07/23.73 tff(29097,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29098,plain,
% 35.07/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 35.07/23.73 inference(modus_ponens,[status(thm)],[29097, 29096])).
% 35.07/23.73 tff(29099,plain,
% 35.07/23.73 (v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29098, 656, 29061])).
% 35.07/23.73 tff(29100,plain,
% 35.07/23.73 (v100(constB192) | (~v110(constB192))),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29099, 29092])).
% 35.07/23.73 tff(29101,plain,
% 35.07/23.73 (v100(constB192)),
% 35.07/23.73 inference(unit_resolution,[status(thm)],[29100, 29069])).
% 35.07/23.73 tff(29102,plain,
% 35.07/23.73 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB191)) | (~v130(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB191)) | (~v130(constB191, bitIndex0)))),
% 35.07/23.73 inference(rewrite,[status(thm)],[])).
% 35.07/23.73 tff(29103,plain,
% 35.07/23.73 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB191)) | (~v130(constB191, bitIndex0)))),
% 35.07/23.73 inference(quant_inst,[status(thm)],[])).
% 35.07/23.73 tff(29104,plain,
% 35.07/23.74 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB191)) | (~v130(constB191, bitIndex0))),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29103, 29102])).
% 35.07/23.74 tff(29105,plain,
% 35.07/23.74 (~v130(constB191, bitIndex0)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29104, 2277, 29034])).
% 35.07/23.74 tff(29106,plain,
% 35.07/23.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29107,plain,
% 35.07/23.74 ((v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0))) <=> ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29108,plain,
% 35.07/23.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0)))),
% 35.07/23.74 inference(monotonicity,[status(thm)],[29107])).
% 35.07/23.74 tff(29109,plain,
% 35.07/23.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 35.07/23.74 inference(transitivity,[status(thm)],[29108, 29106])).
% 35.07/23.74 tff(29110,plain,
% 35.07/23.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29111,plain,
% 35.07/23.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0)),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29110, 29109])).
% 35.07/23.74 tff(29112,plain,
% 35.07/23.74 ((~v127(constB191, bitIndex0)) | v130(constB191, bitIndex0)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29111, 1182, 29046])).
% 35.07/23.74 tff(29113,plain,
% 35.07/23.74 (~v127(constB191, bitIndex0)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29112, 29105])).
% 35.07/23.74 tff(29114,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29115,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29116,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29115, 29114])).
% 35.07/23.74 tff(29117,plain,
% 35.07/23.74 (v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29116, 1200, 29061])).
% 35.07/23.74 tff(29118,plain,
% 35.07/23.74 (~v129(constB192, bitIndex0)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29117, 29113])).
% 35.07/23.74 tff(29119,plain,
% 35.07/23.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29120,plain,
% 35.07/23.74 (((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0)) <=> ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29121,plain,
% 35.07/23.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192))))),
% 35.07/23.74 inference(monotonicity,[status(thm)],[29120])).
% 35.07/23.74 tff(29122,plain,
% 35.07/23.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 35.07/23.74 inference(transitivity,[status(thm)],[29121, 29119])).
% 35.07/23.74 tff(29123,plain,
% 35.07/23.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29124,plain,
% 35.07/23.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192))),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29123, 29122])).
% 35.07/23.74 tff(29125,plain,
% 35.07/23.74 ((~v90(constB192, bitIndex0)) | (~v100(constB192))),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29124, 1215, 29118])).
% 35.07/23.74 tff(29126,plain,
% 35.07/23.74 (~v90(constB192, bitIndex0)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29125, 29101])).
% 35.07/23.74 tff(29127,plain,
% 35.07/23.74 ((~v1(constB193)) <=> (~v1(constB193))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29128,axiom,(~v1(constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 35.07/23.74 tff(29129,plain,
% 35.07/23.74 (~v1(constB193)),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29128, 29127])).
% 35.07/23.74 tff(29130,plain,
% 35.07/23.74 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29131,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 35.07/23.74 tff(29132,plain,
% 35.07/23.74 (nextState(constB192, constB193)),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29131, 29130])).
% 35.07/23.74 tff(29133,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29134,plain,
% 35.07/23.74 (((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193)) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29135,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))))),
% 35.07/23.74 inference(monotonicity,[status(thm)],[29134])).
% 35.07/23.74 tff(29136,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 35.07/23.74 inference(transitivity,[status(thm)],[29135, 29133])).
% 35.07/23.74 tff(29137,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29138,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29137, 29136])).
% 35.07/23.74 tff(29139,plain,
% 35.07/23.74 (~v101(constB193)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29138, 381, 29132, 29129])).
% 35.07/23.74 tff(29140,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29141,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29142,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193))),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29141, 29140])).
% 35.07/23.74 tff(29143,plain,
% 35.07/23.74 (v101(constB193) | (~v100(constB193))),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29142, 398, 29132])).
% 35.07/23.74 tff(29144,plain,
% 35.07/23.74 (~v100(constB193)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29143, 29139])).
% 35.07/23.74 tff(29145,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29146,plain,
% 35.07/23.74 (((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))) <=> (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29147,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0))))),
% 35.07/23.74 inference(monotonicity,[status(thm)],[29146])).
% 35.07/23.74 tff(29148,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 35.07/23.74 inference(transitivity,[status(thm)],[29147, 29145])).
% 35.07/23.74 tff(29149,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29150,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0))),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29149, 29148])).
% 35.07/23.74 tff(29151,plain,
% 35.07/23.74 (v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29150, 455, 29132])).
% 35.07/23.74 tff(29152,plain,
% 35.07/23.74 (v90(constB192, bitIndex0) | (~v90(constB193, bitIndex0))),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29151, 29144])).
% 35.07/23.74 tff(29153,plain,
% 35.07/23.74 (~v90(constB193, bitIndex0)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29152, 29126])).
% 35.07/23.74 tff(29154,plain,
% 35.07/23.74 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB193, bitIndex0) | (~v88(constB193, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB193, bitIndex0) | (~v88(constB193, bitIndex0)))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29155,plain,
% 35.07/23.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB193, bitIndex0) | (~v88(constB193, bitIndex0)))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29156,plain,
% 35.07/23.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB193, bitIndex0) | (~v88(constB193, bitIndex0))),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29155, 29154])).
% 35.07/23.74 tff(29157,plain,
% 35.07/23.74 (~v88(constB193, bitIndex0)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29156, 23593, 29153])).
% 35.07/23.74 tff(29158,plain,
% 35.07/23.74 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB191)) | v130(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB191)) | v130(constB191, bitIndex2))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29159,plain,
% 35.07/23.74 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB191)) | v130(constB191, bitIndex2))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29160,plain,
% 35.07/23.74 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB191)) | v130(constB191, bitIndex2)),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29159, 29158])).
% 35.07/23.74 tff(29161,plain,
% 35.07/23.74 (v130(constB191, bitIndex2)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29160, 2075, 29034])).
% 35.07/23.74 tff(29162,plain,
% 35.07/23.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29163,plain,
% 35.07/23.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29164,plain,
% 35.07/23.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29163, 29162])).
% 35.07/23.74 tff(29165,plain,
% 35.07/23.74 ((~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29164, 1592, 29046])).
% 35.07/23.74 tff(29166,plain,
% 35.07/23.74 (v127(constB191, bitIndex2)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29165, 29161])).
% 35.07/23.74 tff(29167,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29168,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29169,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29168, 29167])).
% 35.07/23.74 tff(29170,plain,
% 35.07/23.74 ((~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29169, 1607, 29061])).
% 35.07/23.74 tff(29171,plain,
% 35.07/23.74 (v129(constB192, bitIndex2)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29170, 29166])).
% 35.07/23.74 tff(29172,plain,
% 35.07/23.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29173,plain,
% 35.07/23.74 ((v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2))) <=> (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29174,plain,
% 35.07/23.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192))))),
% 35.07/23.74 inference(monotonicity,[status(thm)],[29173])).
% 35.07/23.74 tff(29175,plain,
% 35.07/23.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 35.07/23.74 inference(transitivity,[status(thm)],[29174, 29172])).
% 35.07/23.74 tff(29176,plain,
% 35.07/23.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29177,plain,
% 35.07/23.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192))),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29176, 29175])).
% 35.07/23.74 tff(29178,plain,
% 35.07/23.74 (v90(constB192, bitIndex2) | (~v100(constB192))),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29177, 1622, 29171])).
% 35.07/23.74 tff(29179,plain,
% 35.07/23.74 (v90(constB192, bitIndex2)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29178, 29101])).
% 35.07/23.74 tff(29180,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29181,plain,
% 35.07/23.74 (((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)) <=> ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29182,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2)))),
% 35.07/23.74 inference(monotonicity,[status(thm)],[29181])).
% 35.07/23.74 tff(29183,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 35.07/23.74 inference(transitivity,[status(thm)],[29182, 29180])).
% 35.07/23.74 tff(29184,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29185,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2)),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29184, 29183])).
% 35.07/23.74 tff(29186,plain,
% 35.07/23.74 ((~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29185, 1658, 29132])).
% 35.07/23.74 tff(29187,plain,
% 35.07/23.74 ((~v90(constB192, bitIndex2)) | v90(constB193, bitIndex2)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29186, 29144])).
% 35.07/23.74 tff(29188,plain,
% 35.07/23.74 (v90(constB193, bitIndex2)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29187, 29179])).
% 35.07/23.74 tff(29189,plain,
% 35.07/23.74 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29190,plain,
% 35.07/23.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29191,plain,
% 35.07/23.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2)),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29190, 29189])).
% 35.07/23.74 tff(29192,plain,
% 35.07/23.74 (v88(constB193, bitIndex2)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29191, 23573, 29188])).
% 35.07/23.74 tff(29193,plain,
% 35.07/23.74 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB191)) | v130(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB191)) | v130(constB191, bitIndex1))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29194,plain,
% 35.07/23.74 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB191)) | v130(constB191, bitIndex1))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29195,plain,
% 35.07/23.74 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB191)) | v130(constB191, bitIndex1)),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29194, 29193])).
% 35.07/23.74 tff(29196,plain,
% 35.07/23.74 (v130(constB191, bitIndex1)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29195, 2145, 29034])).
% 35.07/23.74 tff(29197,plain,
% 35.07/23.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29198,plain,
% 35.07/23.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29199,plain,
% 35.07/23.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1)),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29198, 29197])).
% 35.07/23.74 tff(29200,plain,
% 35.07/23.74 ((~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29199, 1101, 29046])).
% 35.07/23.74 tff(29201,plain,
% 35.07/23.74 (v127(constB191, bitIndex1)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29200, 29196])).
% 35.07/23.74 tff(29202,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29203,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29204,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1)),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29203, 29202])).
% 35.07/23.74 tff(29205,plain,
% 35.07/23.74 ((~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29204, 1116, 29061])).
% 35.07/23.74 tff(29206,plain,
% 35.07/23.74 (v129(constB192, bitIndex1)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29205, 29201])).
% 35.07/23.74 tff(29207,plain,
% 35.07/23.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29208,plain,
% 35.07/23.74 ((v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1))) <=> (v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29209,plain,
% 35.07/23.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192))))),
% 35.07/23.74 inference(monotonicity,[status(thm)],[29208])).
% 35.07/23.74 tff(29210,plain,
% 35.07/23.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))),
% 35.07/23.74 inference(transitivity,[status(thm)],[29209, 29207])).
% 35.07/23.74 tff(29211,plain,
% 35.07/23.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1)))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29212,plain,
% 35.07/23.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192))),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29211, 29210])).
% 35.07/23.74 tff(29213,plain,
% 35.07/23.74 (v90(constB192, bitIndex1) | (~v100(constB192))),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29212, 1131, 29206])).
% 35.07/23.74 tff(29214,plain,
% 35.07/23.74 (v90(constB192, bitIndex1)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29213, 29101])).
% 35.07/23.74 tff(29215,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29216,plain,
% 35.07/23.74 (((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1)) <=> ((~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))),
% 35.07/23.74 inference(rewrite,[status(thm)],[])).
% 35.07/23.74 tff(29217,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1)))),
% 35.07/23.74 inference(monotonicity,[status(thm)],[29216])).
% 35.07/23.74 tff(29218,plain,
% 35.07/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))),
% 35.07/23.74 inference(transitivity,[status(thm)],[29217, 29215])).
% 35.07/23.74 tff(29219,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1))),
% 35.07/23.74 inference(quant_inst,[status(thm)],[])).
% 35.07/23.74 tff(29220,plain,
% 35.07/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1)),
% 35.07/23.74 inference(modus_ponens,[status(thm)],[29219, 29218])).
% 35.07/23.74 tff(29221,plain,
% 35.07/23.74 ((~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29220, 1149, 29132])).
% 35.07/23.74 tff(29222,plain,
% 35.07/23.74 ((~v90(constB192, bitIndex1)) | v90(constB193, bitIndex1)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29221, 29144])).
% 35.07/23.74 tff(29223,plain,
% 35.07/23.74 (v90(constB193, bitIndex1)),
% 35.07/23.74 inference(unit_resolution,[status(thm)],[29222, 29214])).
% 35.07/23.75 tff(29224,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29225,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29226,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1)),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29225, 29224])).
% 35.07/23.75 tff(29227,plain,
% 35.07/23.75 (v88(constB193, bitIndex1)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29226, 23528, 29223])).
% 35.07/23.75 tff(29228,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | v144(constB193))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | v144(constB193))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29229,plain,
% 35.07/23.75 (((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193)) <=> ((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | v144(constB193))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29230,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | v144(constB193)))),
% 35.07/23.75 inference(monotonicity,[status(thm)],[29229])).
% 35.07/23.75 tff(29231,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | v144(constB193))),
% 35.07/23.75 inference(transitivity,[status(thm)],[29230, 29228])).
% 35.07/23.75 tff(29232,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29233,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | v144(constB193)),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29232, 29231])).
% 35.07/23.75 tff(29234,plain,
% 35.07/23.75 (v144(constB193)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29233, 23607, 29227, 29192, 29157])).
% 35.07/23.75 tff(29235,plain,
% 35.07/23.75 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB193) | (~v144(constB193)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB193) | (~v144(constB193)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29236,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB193) | (~v144(constB193)))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29237,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB193) | (~v144(constB193))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29236, 29235])).
% 35.07/23.75 tff(29238,plain,
% 35.07/23.75 (v142(constB193)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29237, 23622, 29234])).
% 35.07/23.75 tff(29239,plain,
% 35.07/23.75 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB193) | (~v142(constB193)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB193) | (~v142(constB193)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29240,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB193) | (~v142(constB193)))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29241,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB193) | (~v142(constB193))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29240, 29239])).
% 35.07/23.75 tff(29242,plain,
% 35.07/23.75 (v148(constB193)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29241, 24122, 29238])).
% 35.07/23.75 tff(29243,plain,
% 35.07/23.75 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB193) | (~v142(constB193)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB193) | (~v142(constB193)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29244,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB193) | (~v142(constB193)))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29245,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB193) | (~v142(constB193))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29244, 29243])).
% 35.07/23.75 tff(29246,plain,
% 35.07/23.75 (v167(constB193)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29245, 23633, 29238])).
% 35.07/23.75 tff(29247,plain,
% 35.07/23.75 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB193) | (~v167(constB193)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB193) | (~v167(constB193)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29248,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB193) | (~v167(constB193)))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29249,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB193) | (~v167(constB193))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29248, 29247])).
% 35.07/23.75 tff(29250,plain,
% 35.07/23.75 (v166(constB193)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29249, 23658, 29246])).
% 35.07/23.75 tff(29251,plain,
% 35.07/23.75 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB193) | (~v148(constB193)) | (~v166(constB193)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB193) | (~v148(constB193)) | (~v166(constB193)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29252,plain,
% 35.07/23.75 (((~v148(constB193)) | (~v166(constB193)) | v86(constB193)) <=> (v86(constB193) | (~v148(constB193)) | (~v166(constB193)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29253,plain,
% 35.07/23.75 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB193)) | (~v166(constB193)) | v86(constB193))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB193) | (~v148(constB193)) | (~v166(constB193))))),
% 35.07/23.75 inference(monotonicity,[status(thm)],[29252])).
% 35.07/23.75 tff(29254,plain,
% 35.07/23.75 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB193)) | (~v166(constB193)) | v86(constB193))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB193) | (~v148(constB193)) | (~v166(constB193)))),
% 35.07/23.75 inference(transitivity,[status(thm)],[29253, 29251])).
% 35.07/23.75 tff(29255,plain,
% 35.07/23.75 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB193)) | (~v166(constB193)) | v86(constB193))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29256,plain,
% 35.07/23.75 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB193) | (~v148(constB193)) | (~v166(constB193))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29255, 29254])).
% 35.07/23.75 tff(29257,plain,
% 35.07/23.75 (v86(constB193)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29256, 24144, 29250, 29242])).
% 35.07/23.75 tff(29258,plain,
% 35.07/23.75 ($false),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29257, 26226])).
% 35.07/23.75 tff(29259,plain,(~(constB193 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.07/23.75 tff(29260,assumption,(constB13 = sK0_VarCurr), introduced(assumption)).
% 35.07/23.75 tff(29261,plain,
% 35.07/23.75 (v86(constB13) <=> v86(sK0_VarCurr)),
% 35.07/23.75 inference(monotonicity,[status(thm)],[29260])).
% 35.07/23.75 tff(29262,plain,
% 35.07/23.75 (v86(sK0_VarCurr) <=> v86(constB13)),
% 35.07/23.75 inference(symmetry,[status(thm)],[29261])).
% 35.07/23.75 tff(29263,plain,
% 35.07/23.75 ((~v86(sK0_VarCurr)) <=> (~v86(constB13))),
% 35.07/23.75 inference(monotonicity,[status(thm)],[29262])).
% 35.07/23.75 tff(29264,plain,
% 35.07/23.75 (~v86(constB13)),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[24067, 29263])).
% 35.07/23.75 tff(29265,plain,
% 35.07/23.75 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB13, bitIndex0) | (~v88(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB13, bitIndex0) | (~v88(constB13, bitIndex0)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29266,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB13, bitIndex0) | (~v88(constB13, bitIndex0)))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29267,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB13, bitIndex0) | (~v88(constB13, bitIndex0))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29266, 29265])).
% 35.07/23.75 tff(29268,plain,
% 35.07/23.75 (~v88(constB13, bitIndex0)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29267, 23593, 2311])).
% 35.07/23.75 tff(29269,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29270,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29271,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2)),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29270, 29269])).
% 35.07/23.75 tff(29272,plain,
% 35.07/23.75 (v88(constB13, bitIndex2)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29271, 23573, 2124])).
% 35.07/23.75 tff(29273,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29274,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29275,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1)),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29274, 29273])).
% 35.07/23.75 tff(29276,plain,
% 35.07/23.75 (v88(constB13, bitIndex1)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29275, 23528, 2176])).
% 35.07/23.75 tff(29277,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v144(constB13))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v144(constB13))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29278,plain,
% 35.07/23.75 (((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13)) <=> (v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v144(constB13))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29279,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v144(constB13)))),
% 35.07/23.75 inference(monotonicity,[status(thm)],[29278])).
% 35.07/23.75 tff(29280,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v144(constB13))),
% 35.07/23.75 inference(transitivity,[status(thm)],[29279, 29277])).
% 35.07/23.75 tff(29281,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29282,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v144(constB13)),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29281, 29280])).
% 35.07/23.75 tff(29283,plain,
% 35.07/23.75 (v144(constB13)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29282, 23607, 29276, 29272, 29268])).
% 35.07/23.75 tff(29284,plain,
% 35.07/23.75 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB13) | (~v144(constB13)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB13) | (~v144(constB13)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29285,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB13) | (~v144(constB13)))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29286,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB13) | (~v144(constB13))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29285, 29284])).
% 35.07/23.75 tff(29287,plain,
% 35.07/23.75 (v142(constB13)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29286, 23622, 29283])).
% 35.07/23.75 tff(29288,plain,
% 35.07/23.75 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB13) | (~v142(constB13)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB13) | (~v142(constB13)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29289,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB13) | (~v142(constB13)))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29290,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB13) | (~v142(constB13))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29289, 29288])).
% 35.07/23.75 tff(29291,plain,
% 35.07/23.75 (v148(constB13)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29290, 24122, 29287])).
% 35.07/23.75 tff(29292,plain,
% 35.07/23.75 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB13) | (~v142(constB13)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB13) | (~v142(constB13)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29293,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB13) | (~v142(constB13)))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29294,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB13) | (~v142(constB13))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29293, 29292])).
% 35.07/23.75 tff(29295,plain,
% 35.07/23.75 (v167(constB13)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29294, 23633, 29287])).
% 35.07/23.75 tff(29296,plain,
% 35.07/23.75 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB13) | (~v167(constB13)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB13) | (~v167(constB13)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29297,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB13) | (~v167(constB13)))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29298,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB13) | (~v167(constB13))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29297, 29296])).
% 35.07/23.75 tff(29299,plain,
% 35.07/23.75 (v166(constB13)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29298, 23658, 29295])).
% 35.07/23.75 tff(29300,plain,
% 35.07/23.75 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB13) | (~v148(constB13)) | (~v166(constB13)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB13) | (~v148(constB13)) | (~v166(constB13)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29301,plain,
% 35.07/23.75 (((~v148(constB13)) | (~v166(constB13)) | v86(constB13)) <=> (v86(constB13) | (~v148(constB13)) | (~v166(constB13)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29302,plain,
% 35.07/23.75 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB13)) | (~v166(constB13)) | v86(constB13))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB13) | (~v148(constB13)) | (~v166(constB13))))),
% 35.07/23.75 inference(monotonicity,[status(thm)],[29301])).
% 35.07/23.75 tff(29303,plain,
% 35.07/23.75 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB13)) | (~v166(constB13)) | v86(constB13))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB13) | (~v148(constB13)) | (~v166(constB13)))),
% 35.07/23.75 inference(transitivity,[status(thm)],[29302, 29300])).
% 35.07/23.75 tff(29304,plain,
% 35.07/23.75 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB13)) | (~v166(constB13)) | v86(constB13))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29305,plain,
% 35.07/23.75 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB13) | (~v148(constB13)) | (~v166(constB13))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29304, 29303])).
% 35.07/23.75 tff(29306,plain,
% 35.07/23.75 (v86(constB13)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29305, 24144, 29299, 29291])).
% 35.07/23.75 tff(29307,plain,
% 35.07/23.75 ($false),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29306, 29264])).
% 35.07/23.75 tff(29308,plain,(~(constB13 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.07/23.75 tff(29309,assumption,(constB181 = sK0_VarCurr), introduced(assumption)).
% 35.07/23.75 tff(29310,plain,
% 35.07/23.75 (v86(constB181) <=> v86(sK0_VarCurr)),
% 35.07/23.75 inference(monotonicity,[status(thm)],[29309])).
% 35.07/23.75 tff(29311,plain,
% 35.07/23.75 (v86(sK0_VarCurr) <=> v86(constB181)),
% 35.07/23.75 inference(symmetry,[status(thm)],[29310])).
% 35.07/23.75 tff(29312,plain,
% 35.07/23.75 ((~v86(sK0_VarCurr)) <=> (~v86(constB181))),
% 35.07/23.75 inference(monotonicity,[status(thm)],[29311])).
% 35.07/23.75 tff(29313,plain,
% 35.07/23.75 (~v86(constB181)),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[24067, 29312])).
% 35.07/23.75 tff(29314,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29315,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29316,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1)),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29315, 29314])).
% 35.07/23.75 tff(29317,plain,
% 35.07/23.75 (v88(constB181, bitIndex1)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29316, 23528, 27737])).
% 35.07/23.75 tff(29318,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB181, bitIndex2)) | v88(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB181, bitIndex2)) | v88(constB181, bitIndex2))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29319,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB181, bitIndex2)) | v88(constB181, bitIndex2))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29320,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB181, bitIndex2)) | v88(constB181, bitIndex2)),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29319, 29318])).
% 35.07/23.75 tff(29321,plain,
% 35.07/23.75 (v88(constB181, bitIndex2)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29320, 23573, 27702])).
% 35.07/23.75 tff(29322,plain,
% 35.07/23.75 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB181, bitIndex0) | (~v88(constB181, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB181, bitIndex0) | (~v88(constB181, bitIndex0)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29323,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB181, bitIndex0) | (~v88(constB181, bitIndex0)))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29324,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB181, bitIndex0) | (~v88(constB181, bitIndex0))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29323, 29322])).
% 35.07/23.75 tff(29325,plain,
% 35.07/23.75 (~v88(constB181, bitIndex0)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29324, 23593, 27902])).
% 35.07/23.75 tff(29326,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | v144(constB181) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB181, bitIndex2)) | v144(constB181) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29327,plain,
% 35.07/23.75 (((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181)) <=> ((~v88(constB181, bitIndex2)) | v144(constB181) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29328,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | v144(constB181) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0)))),
% 35.07/23.75 inference(monotonicity,[status(thm)],[29327])).
% 35.07/23.75 tff(29329,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB181, bitIndex2)) | v144(constB181) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0))),
% 35.07/23.75 inference(transitivity,[status(thm)],[29328, 29326])).
% 35.07/23.75 tff(29330,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29331,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB181, bitIndex2)) | v144(constB181) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0)),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29330, 29329])).
% 35.07/23.75 tff(29332,plain,
% 35.07/23.75 (v144(constB181)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29331, 23607, 29325, 29321, 29317])).
% 35.07/23.75 tff(29333,plain,
% 35.07/23.75 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB181) | (~v144(constB181)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB181) | (~v144(constB181)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29334,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB181) | (~v144(constB181)))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29335,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB181) | (~v144(constB181))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29334, 29333])).
% 35.07/23.75 tff(29336,plain,
% 35.07/23.75 (v142(constB181)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29335, 23622, 29332])).
% 35.07/23.75 tff(29337,plain,
% 35.07/23.75 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB181) | (~v142(constB181)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB181) | (~v142(constB181)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29338,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB181) | (~v142(constB181)))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29339,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB181) | (~v142(constB181))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29338, 29337])).
% 35.07/23.75 tff(29340,plain,
% 35.07/23.75 (v148(constB181)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29339, 24122, 29336])).
% 35.07/23.75 tff(29341,plain,
% 35.07/23.75 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB181) | (~v142(constB181)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB181) | (~v142(constB181)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29342,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB181) | (~v142(constB181)))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29343,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB181) | (~v142(constB181))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29342, 29341])).
% 35.07/23.75 tff(29344,plain,
% 35.07/23.75 (v167(constB181)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29343, 23633, 29336])).
% 35.07/23.75 tff(29345,plain,
% 35.07/23.75 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB181) | (~v167(constB181)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB181) | (~v167(constB181)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29346,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB181) | (~v167(constB181)))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29347,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB181) | (~v167(constB181))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29346, 29345])).
% 35.07/23.75 tff(29348,plain,
% 35.07/23.75 (v166(constB181)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29347, 23658, 29344])).
% 35.07/23.75 tff(29349,plain,
% 35.07/23.75 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB181) | (~v166(constB181)) | (~v148(constB181)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB181) | (~v166(constB181)) | (~v148(constB181)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29350,plain,
% 35.07/23.75 (((~v148(constB181)) | (~v166(constB181)) | v86(constB181)) <=> (v86(constB181) | (~v166(constB181)) | (~v148(constB181)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29351,plain,
% 35.07/23.75 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB181)) | (~v166(constB181)) | v86(constB181))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB181) | (~v166(constB181)) | (~v148(constB181))))),
% 35.07/23.75 inference(monotonicity,[status(thm)],[29350])).
% 35.07/23.75 tff(29352,plain,
% 35.07/23.75 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB181)) | (~v166(constB181)) | v86(constB181))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB181) | (~v166(constB181)) | (~v148(constB181)))),
% 35.07/23.75 inference(transitivity,[status(thm)],[29351, 29349])).
% 35.07/23.75 tff(29353,plain,
% 35.07/23.75 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB181)) | (~v166(constB181)) | v86(constB181))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29354,plain,
% 35.07/23.75 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB181) | (~v166(constB181)) | (~v148(constB181))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29353, 29352])).
% 35.07/23.75 tff(29355,plain,
% 35.07/23.75 (v86(constB181)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29354, 24144, 29348, 29340])).
% 35.07/23.75 tff(29356,plain,
% 35.07/23.75 ($false),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29355, 29313])).
% 35.07/23.75 tff(29357,plain,(~(constB181 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.07/23.75 tff(29358,assumption,(constB109 = sK0_VarCurr), introduced(assumption)).
% 35.07/23.75 tff(29359,plain,
% 35.07/23.75 (v86(constB109) <=> v86(sK0_VarCurr)),
% 35.07/23.75 inference(monotonicity,[status(thm)],[29358])).
% 35.07/23.75 tff(29360,plain,
% 35.07/23.75 (v86(sK0_VarCurr) <=> v86(constB109)),
% 35.07/23.75 inference(symmetry,[status(thm)],[29359])).
% 35.07/23.75 tff(29361,plain,
% 35.07/23.75 ((~v86(sK0_VarCurr)) <=> (~v86(constB109))),
% 35.07/23.75 inference(monotonicity,[status(thm)],[29360])).
% 35.07/23.75 tff(29362,plain,
% 35.07/23.75 (~v86(constB109)),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[24067, 29361])).
% 35.07/23.75 tff(29363,plain,
% 35.07/23.75 (~v130(constB107, bitIndex0)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[17108, 2277, 15859])).
% 35.07/23.75 tff(29364,plain,
% 35.07/23.75 (~v127(constB107, bitIndex0)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[16262, 29363])).
% 35.07/23.75 tff(29365,plain,
% 35.07/23.75 (~v129(constB108, bitIndex0)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[16267, 29364])).
% 35.07/23.75 tff(29366,plain,
% 35.07/23.75 ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[16274, 1215, 16783])).
% 35.07/23.75 tff(29367,plain,
% 35.07/23.75 (~v90(constB108, bitIndex0)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29366, 29365])).
% 35.07/23.75 tff(29368,plain,
% 35.07/23.75 (~v90(constB109, bitIndex0)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[15920, 29367])).
% 35.07/23.75 tff(29369,plain,
% 35.07/23.75 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB109, bitIndex0) | (~v88(constB109, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB109, bitIndex0) | (~v88(constB109, bitIndex0)))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29370,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB109, bitIndex0) | (~v88(constB109, bitIndex0)))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29371,plain,
% 35.07/23.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB109, bitIndex0) | (~v88(constB109, bitIndex0))),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29370, 29369])).
% 35.07/23.75 tff(29372,plain,
% 35.07/23.75 (~v88(constB109, bitIndex0)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29371, 23593, 29368])).
% 35.07/23.75 tff(29373,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB109, bitIndex2)) | v88(constB109, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB109, bitIndex2)) | v88(constB109, bitIndex2))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.75 tff(29374,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB109, bitIndex2)) | v88(constB109, bitIndex2))),
% 35.07/23.75 inference(quant_inst,[status(thm)],[])).
% 35.07/23.75 tff(29375,plain,
% 35.07/23.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB109, bitIndex2)) | v88(constB109, bitIndex2)),
% 35.07/23.75 inference(modus_ponens,[status(thm)],[29374, 29373])).
% 35.07/23.75 tff(29376,plain,
% 35.07/23.75 (v88(constB109, bitIndex2)),
% 35.07/23.75 inference(unit_resolution,[status(thm)],[29375, 23573, 16803])).
% 35.07/23.75 tff(29377,plain,
% 35.07/23.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))),
% 35.07/23.75 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29378,plain,
% 35.07/23.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29379,plain,
% 35.07/23.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1)),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29378, 29377])).
% 35.07/23.76 tff(29380,plain,
% 35.07/23.76 (v88(constB109, bitIndex1)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29379, 23528, 16786])).
% 35.07/23.76 tff(29381,plain,
% 35.07/23.76 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB109, bitIndex0) | (~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v144(constB109))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB109, bitIndex0) | (~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v144(constB109))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29382,plain,
% 35.07/23.76 (((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v144(constB109)) <=> (v88(constB109, bitIndex0) | (~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v144(constB109))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29383,plain,
% 35.07/23.76 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v144(constB109))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB109, bitIndex0) | (~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v144(constB109)))),
% 35.07/23.76 inference(monotonicity,[status(thm)],[29382])).
% 35.07/23.76 tff(29384,plain,
% 35.07/23.76 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v144(constB109))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB109, bitIndex0) | (~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v144(constB109))),
% 35.07/23.76 inference(transitivity,[status(thm)],[29383, 29381])).
% 35.07/23.76 tff(29385,plain,
% 35.07/23.76 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v144(constB109))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29386,plain,
% 35.07/23.76 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB109, bitIndex0) | (~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v144(constB109)),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29385, 29384])).
% 35.07/23.76 tff(29387,plain,
% 35.07/23.76 (v144(constB109)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29386, 23607, 29380, 29376, 29372])).
% 35.07/23.76 tff(29388,plain,
% 35.07/23.76 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB109) | (~v144(constB109)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB109) | (~v144(constB109)))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29389,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB109) | (~v144(constB109)))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29390,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB109) | (~v144(constB109))),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29389, 29388])).
% 35.07/23.76 tff(29391,plain,
% 35.07/23.76 (v142(constB109)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29390, 23622, 29387])).
% 35.07/23.76 tff(29392,plain,
% 35.07/23.76 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB109) | (~v142(constB109)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB109) | (~v142(constB109)))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29393,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB109) | (~v142(constB109)))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29394,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB109) | (~v142(constB109))),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29393, 29392])).
% 35.07/23.76 tff(29395,plain,
% 35.07/23.76 (v148(constB109)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29394, 24122, 29391])).
% 35.07/23.76 tff(29396,plain,
% 35.07/23.76 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB109) | (~v142(constB109)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB109) | (~v142(constB109)))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29397,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB109) | (~v142(constB109)))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29398,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB109) | (~v142(constB109))),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29397, 29396])).
% 35.07/23.76 tff(29399,plain,
% 35.07/23.76 (v167(constB109)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29398, 23633, 29391])).
% 35.07/23.76 tff(29400,plain,
% 35.07/23.76 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB109) | (~v167(constB109)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB109) | (~v167(constB109)))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29401,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB109) | (~v167(constB109)))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29402,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB109) | (~v167(constB109))),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29401, 29400])).
% 35.07/23.76 tff(29403,plain,
% 35.07/23.76 (v166(constB109)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29402, 23658, 29399])).
% 35.07/23.76 tff(29404,plain,
% 35.07/23.76 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB109) | (~v148(constB109)) | (~v166(constB109)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB109) | (~v148(constB109)) | (~v166(constB109)))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29405,plain,
% 35.07/23.76 (((~v148(constB109)) | (~v166(constB109)) | v86(constB109)) <=> (v86(constB109) | (~v148(constB109)) | (~v166(constB109)))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29406,plain,
% 35.07/23.76 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB109)) | (~v166(constB109)) | v86(constB109))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB109) | (~v148(constB109)) | (~v166(constB109))))),
% 35.07/23.76 inference(monotonicity,[status(thm)],[29405])).
% 35.07/23.76 tff(29407,plain,
% 35.07/23.76 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB109)) | (~v166(constB109)) | v86(constB109))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB109) | (~v148(constB109)) | (~v166(constB109)))),
% 35.07/23.76 inference(transitivity,[status(thm)],[29406, 29404])).
% 35.07/23.76 tff(29408,plain,
% 35.07/23.76 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB109)) | (~v166(constB109)) | v86(constB109))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29409,plain,
% 35.07/23.76 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB109) | (~v148(constB109)) | (~v166(constB109))),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29408, 29407])).
% 35.07/23.76 tff(29410,plain,
% 35.07/23.76 (v86(constB109)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29409, 24144, 29403, 29395])).
% 35.07/23.76 tff(29411,plain,
% 35.07/23.76 ($false),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29410, 29362])).
% 35.07/23.76 tff(29412,plain,(~(constB109 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.07/23.76 tff(29413,assumption,(constB97 = sK0_VarCurr), introduced(assumption)).
% 35.07/23.76 tff(29414,plain,
% 35.07/23.76 (v86(constB97) <=> v86(sK0_VarCurr)),
% 35.07/23.76 inference(monotonicity,[status(thm)],[29413])).
% 35.07/23.76 tff(29415,plain,
% 35.07/23.76 (v86(sK0_VarCurr) <=> v86(constB97)),
% 35.07/23.76 inference(symmetry,[status(thm)],[29414])).
% 35.07/23.76 tff(29416,plain,
% 35.07/23.76 ((~v86(sK0_VarCurr)) <=> (~v86(constB97))),
% 35.07/23.76 inference(monotonicity,[status(thm)],[29415])).
% 35.07/23.76 tff(29417,plain,
% 35.07/23.76 (~v86(constB97)),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[24067, 29416])).
% 35.07/23.76 tff(29418,plain,
% 35.07/23.76 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB97, bitIndex0) | (~v88(constB97, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB97, bitIndex0) | (~v88(constB97, bitIndex0)))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29419,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB97, bitIndex0) | (~v88(constB97, bitIndex0)))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29420,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB97, bitIndex0) | (~v88(constB97, bitIndex0))),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29419, 29418])).
% 35.07/23.76 tff(29421,plain,
% 35.07/23.76 (~v88(constB97, bitIndex0)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29420, 23593, 14149])).
% 35.07/23.76 tff(29422,plain,
% 35.07/23.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex2)) | v88(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB97, bitIndex2)) | v88(constB97, bitIndex2))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29423,plain,
% 35.07/23.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex2)) | v88(constB97, bitIndex2))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29424,plain,
% 35.07/23.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB97, bitIndex2)) | v88(constB97, bitIndex2)),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29423, 29422])).
% 35.07/23.76 tff(29425,plain,
% 35.07/23.76 (v88(constB97, bitIndex2)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29424, 23573, 14084])).
% 35.07/23.76 tff(29426,plain,
% 35.07/23.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB97, bitIndex1)) | v88(constB97, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB97, bitIndex1)) | v88(constB97, bitIndex1))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29427,plain,
% 35.07/23.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB97, bitIndex1)) | v88(constB97, bitIndex1))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29428,plain,
% 35.07/23.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB97, bitIndex1)) | v88(constB97, bitIndex1)),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29427, 29426])).
% 35.07/23.76 tff(29429,plain,
% 35.07/23.76 (v88(constB97, bitIndex1)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29428, 23528, 14115])).
% 35.07/23.76 tff(29430,plain,
% 35.07/23.76 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v144(constB97))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v144(constB97))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29431,plain,
% 35.07/23.76 (((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97)) <=> (v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v144(constB97))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29432,plain,
% 35.07/23.76 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v144(constB97)))),
% 35.07/23.76 inference(monotonicity,[status(thm)],[29431])).
% 35.07/23.76 tff(29433,plain,
% 35.07/23.76 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v144(constB97))),
% 35.07/23.76 inference(transitivity,[status(thm)],[29432, 29430])).
% 35.07/23.76 tff(29434,plain,
% 35.07/23.76 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29435,plain,
% 35.07/23.76 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v144(constB97)),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29434, 29433])).
% 35.07/23.76 tff(29436,plain,
% 35.07/23.76 (v144(constB97)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29435, 23607, 29429, 29425, 29421])).
% 35.07/23.76 tff(29437,plain,
% 35.07/23.76 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB97) | (~v144(constB97)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB97) | (~v144(constB97)))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29438,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB97) | (~v144(constB97)))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29439,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB97) | (~v144(constB97))),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29438, 29437])).
% 35.07/23.76 tff(29440,plain,
% 35.07/23.76 (v142(constB97)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29439, 23622, 29436])).
% 35.07/23.76 tff(29441,plain,
% 35.07/23.76 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB97) | (~v142(constB97)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB97) | (~v142(constB97)))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29442,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB97) | (~v142(constB97)))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29443,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB97) | (~v142(constB97))),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29442, 29441])).
% 35.07/23.76 tff(29444,plain,
% 35.07/23.76 (v148(constB97)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29443, 24122, 29440])).
% 35.07/23.76 tff(29445,plain,
% 35.07/23.76 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB97) | (~v142(constB97)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB97) | (~v142(constB97)))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29446,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB97) | (~v142(constB97)))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29447,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB97) | (~v142(constB97))),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29446, 29445])).
% 35.07/23.76 tff(29448,plain,
% 35.07/23.76 (v167(constB97)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29447, 23633, 29440])).
% 35.07/23.76 tff(29449,plain,
% 35.07/23.76 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB97) | (~v167(constB97)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB97) | (~v167(constB97)))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29450,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB97) | (~v167(constB97)))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29451,plain,
% 35.07/23.76 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB97) | (~v167(constB97))),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29450, 29449])).
% 35.07/23.76 tff(29452,plain,
% 35.07/23.76 (v166(constB97)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29451, 23658, 29448])).
% 35.07/23.76 tff(29453,plain,
% 35.07/23.76 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB97) | (~v166(constB97)) | (~v148(constB97)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB97) | (~v166(constB97)) | (~v148(constB97)))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29454,plain,
% 35.07/23.76 (((~v148(constB97)) | (~v166(constB97)) | v86(constB97)) <=> (v86(constB97) | (~v166(constB97)) | (~v148(constB97)))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29455,plain,
% 35.07/23.76 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB97)) | (~v166(constB97)) | v86(constB97))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB97) | (~v166(constB97)) | (~v148(constB97))))),
% 35.07/23.76 inference(monotonicity,[status(thm)],[29454])).
% 35.07/23.76 tff(29456,plain,
% 35.07/23.76 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB97)) | (~v166(constB97)) | v86(constB97))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB97) | (~v166(constB97)) | (~v148(constB97)))),
% 35.07/23.76 inference(transitivity,[status(thm)],[29455, 29453])).
% 35.07/23.76 tff(29457,plain,
% 35.07/23.76 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB97)) | (~v166(constB97)) | v86(constB97))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29458,plain,
% 35.07/23.76 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB97) | (~v166(constB97)) | (~v148(constB97))),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29457, 29456])).
% 35.07/23.76 tff(29459,plain,
% 35.07/23.76 (v86(constB97)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29458, 24144, 29452, 29444])).
% 35.07/23.76 tff(29460,plain,
% 35.07/23.76 ($false),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29459, 29417])).
% 35.07/23.76 tff(29461,plain,(~(constB97 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.07/23.76 tff(29462,assumption,(constB85 = sK0_VarCurr), introduced(assumption)).
% 35.07/23.76 tff(29463,plain,
% 35.07/23.76 (v86(constB85) <=> v86(sK0_VarCurr)),
% 35.07/23.76 inference(monotonicity,[status(thm)],[29462])).
% 35.07/23.76 tff(29464,plain,
% 35.07/23.76 (v86(sK0_VarCurr) <=> v86(constB85)),
% 35.07/23.76 inference(symmetry,[status(thm)],[29463])).
% 35.07/23.76 tff(29465,plain,
% 35.07/23.76 ((~v86(sK0_VarCurr)) <=> (~v86(constB85))),
% 35.07/23.76 inference(monotonicity,[status(thm)],[29464])).
% 35.07/23.76 tff(29466,plain,
% 35.07/23.76 (~v86(constB85)),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[24067, 29465])).
% 35.07/23.76 tff(29467,plain,
% 35.07/23.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29468,plain,
% 35.07/23.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29469,plain,
% 35.07/23.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1)),
% 35.07/23.76 inference(modus_ponens,[status(thm)],[29468, 29467])).
% 35.07/23.76 tff(29470,plain,
% 35.07/23.76 (v88(constB85, bitIndex1)),
% 35.07/23.76 inference(unit_resolution,[status(thm)],[29469, 23528, 13013])).
% 35.07/23.76 tff(29471,plain,
% 35.07/23.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))),
% 35.07/23.76 inference(rewrite,[status(thm)],[])).
% 35.07/23.76 tff(29472,plain,
% 35.07/23.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))),
% 35.07/23.76 inference(quant_inst,[status(thm)],[])).
% 35.07/23.76 tff(29473,plain,
% 35.07/23.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2)),
% 35.17/23.76 inference(modus_ponens,[status(thm)],[29472, 29471])).
% 35.17/23.76 tff(29474,plain,
% 35.17/23.76 (v88(constB85, bitIndex2)),
% 35.17/23.76 inference(unit_resolution,[status(thm)],[29473, 23573, 13044])).
% 35.17/23.76 tff(29475,plain,
% 35.17/23.76 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0)))),
% 35.17/23.76 inference(rewrite,[status(thm)],[])).
% 35.17/23.76 tff(29476,plain,
% 35.17/23.76 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0)))),
% 35.17/23.76 inference(quant_inst,[status(thm)],[])).
% 35.17/23.76 tff(29477,plain,
% 35.17/23.76 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0))),
% 35.17/23.76 inference(modus_ponens,[status(thm)],[29476, 29475])).
% 35.17/23.76 tff(29478,plain,
% 35.17/23.76 (~v88(constB85, bitIndex0)),
% 35.17/23.76 inference(unit_resolution,[status(thm)],[29477, 23593, 12501])).
% 35.17/23.76 tff(29479,plain,
% 35.17/23.76 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 35.17/23.76 inference(rewrite,[status(thm)],[])).
% 35.17/23.76 tff(29480,plain,
% 35.17/23.76 (((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85)) <=> (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 35.17/23.76 inference(rewrite,[status(thm)],[])).
% 35.17/23.76 tff(29481,plain,
% 35.17/23.76 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85)))),
% 35.17/23.76 inference(monotonicity,[status(thm)],[29480])).
% 35.17/23.76 tff(29482,plain,
% 35.17/23.76 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 35.17/23.76 inference(transitivity,[status(thm)],[29481, 29479])).
% 35.17/23.76 tff(29483,plain,
% 35.17/23.76 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))),
% 35.17/23.76 inference(quant_inst,[status(thm)],[])).
% 35.17/23.76 tff(29484,plain,
% 35.17/23.76 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85)),
% 35.17/23.76 inference(modus_ponens,[status(thm)],[29483, 29482])).
% 35.17/23.76 tff(29485,plain,
% 35.17/23.76 ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85)),
% 35.17/23.76 inference(unit_resolution,[status(thm)],[29484, 23607, 29478])).
% 35.17/23.76 tff(29486,plain,
% 35.17/23.76 (v144(constB85)),
% 35.17/23.76 inference(unit_resolution,[status(thm)],[29485, 29474, 29470])).
% 35.17/23.76 tff(29487,plain,
% 35.17/23.76 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB85) | (~v144(constB85)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB85) | (~v144(constB85)))),
% 35.17/23.76 inference(rewrite,[status(thm)],[])).
% 35.17/23.76 tff(29488,plain,
% 35.17/23.76 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB85) | (~v144(constB85)))),
% 35.17/23.76 inference(quant_inst,[status(thm)],[])).
% 35.17/23.76 tff(29489,plain,
% 35.17/23.76 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB85) | (~v144(constB85))),
% 35.17/23.76 inference(modus_ponens,[status(thm)],[29488, 29487])).
% 35.17/23.76 tff(29490,plain,
% 35.17/23.76 (v142(constB85)),
% 35.17/23.76 inference(unit_resolution,[status(thm)],[29489, 23622, 29486])).
% 35.17/23.76 tff(29491,plain,
% 35.17/23.76 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB85) | (~v142(constB85)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB85) | (~v142(constB85)))),
% 35.17/23.76 inference(rewrite,[status(thm)],[])).
% 35.17/23.76 tff(29492,plain,
% 35.17/23.76 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB85) | (~v142(constB85)))),
% 35.17/23.76 inference(quant_inst,[status(thm)],[])).
% 35.17/23.76 tff(29493,plain,
% 35.17/23.76 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB85) | (~v142(constB85))),
% 35.17/23.76 inference(modus_ponens,[status(thm)],[29492, 29491])).
% 35.17/23.76 tff(29494,plain,
% 35.17/23.76 (v148(constB85)),
% 35.17/23.76 inference(unit_resolution,[status(thm)],[29493, 24122, 29490])).
% 35.17/23.76 tff(29495,plain,
% 35.17/23.76 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB85) | (~v142(constB85)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB85) | (~v142(constB85)))),
% 35.17/23.76 inference(rewrite,[status(thm)],[])).
% 35.17/23.76 tff(29496,plain,
% 35.17/23.76 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB85) | (~v142(constB85)))),
% 35.17/23.76 inference(quant_inst,[status(thm)],[])).
% 35.17/23.76 tff(29497,plain,
% 35.17/23.76 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB85) | (~v142(constB85))),
% 35.17/23.76 inference(modus_ponens,[status(thm)],[29496, 29495])).
% 35.17/23.76 tff(29498,plain,
% 35.17/23.76 (v167(constB85)),
% 35.17/23.76 inference(unit_resolution,[status(thm)],[29497, 23633, 29490])).
% 35.17/23.76 tff(29499,plain,
% 35.17/23.76 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB85) | (~v167(constB85)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB85) | (~v167(constB85)))),
% 35.17/23.76 inference(rewrite,[status(thm)],[])).
% 35.17/23.76 tff(29500,plain,
% 35.17/23.76 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB85) | (~v167(constB85)))),
% 35.17/23.76 inference(quant_inst,[status(thm)],[])).
% 35.17/23.76 tff(29501,plain,
% 35.17/23.76 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB85) | (~v167(constB85))),
% 35.17/23.76 inference(modus_ponens,[status(thm)],[29500, 29499])).
% 35.17/23.76 tff(29502,plain,
% 35.17/23.76 (v166(constB85)),
% 35.17/23.76 inference(unit_resolution,[status(thm)],[29501, 23658, 29498])).
% 35.17/23.76 tff(29503,plain,
% 35.17/23.76 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB85) | (~v148(constB85)) | (~v166(constB85)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB85) | (~v148(constB85)) | (~v166(constB85)))),
% 35.17/23.76 inference(rewrite,[status(thm)],[])).
% 35.17/23.76 tff(29504,plain,
% 35.17/23.76 (((~v148(constB85)) | (~v166(constB85)) | v86(constB85)) <=> (v86(constB85) | (~v148(constB85)) | (~v166(constB85)))),
% 35.17/23.76 inference(rewrite,[status(thm)],[])).
% 35.17/23.76 tff(29505,plain,
% 35.17/23.76 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB85)) | (~v166(constB85)) | v86(constB85))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB85) | (~v148(constB85)) | (~v166(constB85))))),
% 35.17/23.76 inference(monotonicity,[status(thm)],[29504])).
% 35.17/23.76 tff(29506,plain,
% 35.17/23.76 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB85)) | (~v166(constB85)) | v86(constB85))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB85) | (~v148(constB85)) | (~v166(constB85)))),
% 35.17/23.76 inference(transitivity,[status(thm)],[29505, 29503])).
% 35.17/23.76 tff(29507,plain,
% 35.17/23.76 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB85)) | (~v166(constB85)) | v86(constB85))),
% 35.17/23.76 inference(quant_inst,[status(thm)],[])).
% 35.17/23.76 tff(29508,plain,
% 35.17/23.76 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB85) | (~v148(constB85)) | (~v166(constB85))),
% 35.17/23.76 inference(modus_ponens,[status(thm)],[29507, 29506])).
% 35.17/23.76 tff(29509,plain,
% 35.17/23.76 (v86(constB85)),
% 35.17/23.76 inference(unit_resolution,[status(thm)],[29508, 24144, 29502, 29494])).
% 35.17/23.76 tff(29510,plain,
% 35.17/23.76 ($false),
% 35.17/23.76 inference(unit_resolution,[status(thm)],[29509, 29466])).
% 35.17/23.76 tff(29511,plain,(~(constB85 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.76 tff(29512,assumption,(constB133 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.76 tff(29513,plain,
% 35.17/23.76 (v86(constB133) <=> v86(sK0_VarCurr)),
% 35.17/23.76 inference(monotonicity,[status(thm)],[29512])).
% 35.17/23.76 tff(29514,plain,
% 35.17/23.76 (v86(sK0_VarCurr) <=> v86(constB133)),
% 35.17/23.76 inference(symmetry,[status(thm)],[29513])).
% 35.17/23.76 tff(29515,plain,
% 35.17/23.76 ((~v86(sK0_VarCurr)) <=> (~v86(constB133))),
% 35.17/23.76 inference(monotonicity,[status(thm)],[29514])).
% 35.17/23.76 tff(29516,plain,
% 35.17/23.76 (~v86(constB133)),
% 35.17/23.76 inference(modus_ponens,[status(thm)],[24067, 29515])).
% 35.17/23.76 tff(29517,plain,
% 35.17/23.76 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB133, bitIndex0) | (~v88(constB133, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB133, bitIndex0) | (~v88(constB133, bitIndex0)))),
% 35.17/23.76 inference(rewrite,[status(thm)],[])).
% 35.17/23.76 tff(29518,plain,
% 35.17/23.76 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB133, bitIndex0) | (~v88(constB133, bitIndex0)))),
% 35.17/23.76 inference(quant_inst,[status(thm)],[])).
% 35.17/23.76 tff(29519,plain,
% 35.17/23.76 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB133, bitIndex0) | (~v88(constB133, bitIndex0))),
% 35.17/23.76 inference(modus_ponens,[status(thm)],[29518, 29517])).
% 35.17/23.76 tff(29520,plain,
% 35.17/23.76 (~v88(constB133, bitIndex0)),
% 35.17/23.76 inference(unit_resolution,[status(thm)],[29519, 23593, 19363])).
% 35.17/23.76 tff(29521,plain,
% 35.17/23.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB133, bitIndex2)) | v88(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB133, bitIndex2)) | v88(constB133, bitIndex2))),
% 35.17/23.76 inference(rewrite,[status(thm)],[])).
% 35.17/23.76 tff(29522,plain,
% 35.17/23.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB133, bitIndex2)) | v88(constB133, bitIndex2))),
% 35.17/23.76 inference(quant_inst,[status(thm)],[])).
% 35.17/23.76 tff(29523,plain,
% 35.17/23.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB133, bitIndex2)) | v88(constB133, bitIndex2)),
% 35.17/23.76 inference(modus_ponens,[status(thm)],[29522, 29521])).
% 35.17/23.76 tff(29524,plain,
% 35.17/23.76 (v88(constB133, bitIndex2)),
% 35.17/23.76 inference(unit_resolution,[status(thm)],[29523, 23573, 19298])).
% 35.17/23.76 tff(29525,plain,
% 35.17/23.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB133, bitIndex1)) | v88(constB133, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB133, bitIndex1)) | v88(constB133, bitIndex1))),
% 35.17/23.76 inference(rewrite,[status(thm)],[])).
% 35.17/23.76 tff(29526,plain,
% 35.17/23.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB133, bitIndex1)) | v88(constB133, bitIndex1))),
% 35.17/23.76 inference(quant_inst,[status(thm)],[])).
% 35.17/23.76 tff(29527,plain,
% 35.17/23.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB133, bitIndex1)) | v88(constB133, bitIndex1)),
% 35.17/23.76 inference(modus_ponens,[status(thm)],[29526, 29525])).
% 35.17/23.76 tff(29528,plain,
% 35.17/23.76 (v88(constB133, bitIndex1)),
% 35.17/23.76 inference(unit_resolution,[status(thm)],[29527, 23528, 19329])).
% 35.17/23.76 tff(29529,plain,
% 35.17/23.76 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB133, bitIndex2)) | v144(constB133) | v88(constB133, bitIndex0) | (~v88(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB133, bitIndex2)) | v144(constB133) | v88(constB133, bitIndex0) | (~v88(constB133, bitIndex1)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29530,plain,
% 35.17/23.77 (((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0) | v144(constB133)) <=> ((~v88(constB133, bitIndex2)) | v144(constB133) | v88(constB133, bitIndex0) | (~v88(constB133, bitIndex1)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29531,plain,
% 35.17/23.77 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0) | v144(constB133))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB133, bitIndex2)) | v144(constB133) | v88(constB133, bitIndex0) | (~v88(constB133, bitIndex1))))),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29530])).
% 35.17/23.77 tff(29532,plain,
% 35.17/23.77 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0) | v144(constB133))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB133, bitIndex2)) | v144(constB133) | v88(constB133, bitIndex0) | (~v88(constB133, bitIndex1)))),
% 35.17/23.77 inference(transitivity,[status(thm)],[29531, 29529])).
% 35.17/23.77 tff(29533,plain,
% 35.17/23.77 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0) | v144(constB133))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29534,plain,
% 35.17/23.77 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB133, bitIndex2)) | v144(constB133) | v88(constB133, bitIndex0) | (~v88(constB133, bitIndex1))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29533, 29532])).
% 35.17/23.77 tff(29535,plain,
% 35.17/23.77 (v144(constB133)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29534, 23607, 29528, 29524, 29520])).
% 35.17/23.77 tff(29536,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB133) | (~v144(constB133)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB133) | (~v144(constB133)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29537,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB133) | (~v144(constB133)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29538,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB133) | (~v144(constB133))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29537, 29536])).
% 35.17/23.77 tff(29539,plain,
% 35.17/23.77 (v142(constB133)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29538, 23622, 29535])).
% 35.17/23.77 tff(29540,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB133) | (~v142(constB133)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB133) | (~v142(constB133)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29541,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB133) | (~v142(constB133)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29542,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB133) | (~v142(constB133))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29541, 29540])).
% 35.17/23.77 tff(29543,plain,
% 35.17/23.77 (v148(constB133)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29542, 24122, 29539])).
% 35.17/23.77 tff(29544,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB133) | (~v142(constB133)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB133) | (~v142(constB133)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29545,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB133) | (~v142(constB133)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29546,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB133) | (~v142(constB133))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29545, 29544])).
% 35.17/23.77 tff(29547,plain,
% 35.17/23.77 (v167(constB133)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29546, 23633, 29539])).
% 35.17/23.77 tff(29548,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB133) | (~v167(constB133)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB133) | (~v167(constB133)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29549,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB133) | (~v167(constB133)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29550,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB133) | (~v167(constB133))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29549, 29548])).
% 35.17/23.77 tff(29551,plain,
% 35.17/23.77 (v166(constB133)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29550, 23658, 29547])).
% 35.17/23.77 tff(29552,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB133) | (~v166(constB133)) | (~v148(constB133)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB133) | (~v166(constB133)) | (~v148(constB133)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29553,plain,
% 35.17/23.77 (((~v148(constB133)) | (~v166(constB133)) | v86(constB133)) <=> (v86(constB133) | (~v166(constB133)) | (~v148(constB133)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29554,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB133)) | (~v166(constB133)) | v86(constB133))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB133) | (~v166(constB133)) | (~v148(constB133))))),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29553])).
% 35.17/23.77 tff(29555,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB133)) | (~v166(constB133)) | v86(constB133))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB133) | (~v166(constB133)) | (~v148(constB133)))),
% 35.17/23.77 inference(transitivity,[status(thm)],[29554, 29552])).
% 35.17/23.77 tff(29556,plain,
% 35.17/23.77 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB133)) | (~v166(constB133)) | v86(constB133))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29557,plain,
% 35.17/23.77 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB133) | (~v166(constB133)) | (~v148(constB133))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29556, 29555])).
% 35.17/23.77 tff(29558,plain,
% 35.17/23.77 (v86(constB133)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29557, 24144, 29551, 29543])).
% 35.17/23.77 tff(29559,plain,
% 35.17/23.77 ($false),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29558, 29516])).
% 35.17/23.77 tff(29560,plain,(~(constB133 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.77 tff(29561,assumption,(constB49 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.77 tff(29562,plain,
% 35.17/23.77 (v86(constB49) <=> v86(sK0_VarCurr)),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29561])).
% 35.17/23.77 tff(29563,plain,
% 35.17/23.77 (v86(sK0_VarCurr) <=> v86(constB49)),
% 35.17/23.77 inference(symmetry,[status(thm)],[29562])).
% 35.17/23.77 tff(29564,plain,
% 35.17/23.77 ((~v86(sK0_VarCurr)) <=> (~v86(constB49))),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29563])).
% 35.17/23.77 tff(29565,plain,
% 35.17/23.77 (~v86(constB49)),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[24067, 29564])).
% 35.17/23.77 tff(29566,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB49, bitIndex0) | (~v88(constB49, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB49, bitIndex0) | (~v88(constB49, bitIndex0)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29567,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB49, bitIndex0) | (~v88(constB49, bitIndex0)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29568,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB49, bitIndex0) | (~v88(constB49, bitIndex0))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29567, 29566])).
% 35.17/23.77 tff(29569,plain,
% 35.17/23.77 (~v88(constB49, bitIndex0)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29568, 23593, 8710])).
% 35.17/23.77 tff(29570,plain,
% 35.17/23.77 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB49, bitIndex2)) | v88(constB49, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB49, bitIndex2)) | v88(constB49, bitIndex2))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29571,plain,
% 35.17/23.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB49, bitIndex2)) | v88(constB49, bitIndex2))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29572,plain,
% 35.17/23.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB49, bitIndex2)) | v88(constB49, bitIndex2)),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29571, 29570])).
% 35.17/23.77 tff(29573,plain,
% 35.17/23.77 (v88(constB49, bitIndex2)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29572, 23573, 8641])).
% 35.17/23.77 tff(29574,plain,
% 35.17/23.77 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29575,plain,
% 35.17/23.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29576,plain,
% 35.17/23.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1)),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29575, 29574])).
% 35.17/23.77 tff(29577,plain,
% 35.17/23.77 (v88(constB49, bitIndex1)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29576, 23528, 8594])).
% 35.17/23.77 tff(29578,plain,
% 35.17/23.77 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB49, bitIndex0) | (~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v144(constB49))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB49, bitIndex0) | (~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v144(constB49))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29579,plain,
% 35.17/23.77 (((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v144(constB49)) <=> (v88(constB49, bitIndex0) | (~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v144(constB49))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29580,plain,
% 35.17/23.77 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v144(constB49))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB49, bitIndex0) | (~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v144(constB49)))),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29579])).
% 35.17/23.77 tff(29581,plain,
% 35.17/23.77 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v144(constB49))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB49, bitIndex0) | (~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v144(constB49))),
% 35.17/23.77 inference(transitivity,[status(thm)],[29580, 29578])).
% 35.17/23.77 tff(29582,plain,
% 35.17/23.77 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v144(constB49))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29583,plain,
% 35.17/23.77 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB49, bitIndex0) | (~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v144(constB49)),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29582, 29581])).
% 35.17/23.77 tff(29584,plain,
% 35.17/23.77 (v144(constB49)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29583, 23607, 29577, 29573, 29569])).
% 35.17/23.77 tff(29585,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB49) | (~v144(constB49)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB49) | (~v144(constB49)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29586,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB49) | (~v144(constB49)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29587,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB49) | (~v144(constB49))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29586, 29585])).
% 35.17/23.77 tff(29588,plain,
% 35.17/23.77 (v142(constB49)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29587, 23622, 29584])).
% 35.17/23.77 tff(29589,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB49) | (~v142(constB49)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB49) | (~v142(constB49)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29590,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB49) | (~v142(constB49)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29591,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB49) | (~v142(constB49))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29590, 29589])).
% 35.17/23.77 tff(29592,plain,
% 35.17/23.77 (v148(constB49)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29591, 24122, 29588])).
% 35.17/23.77 tff(29593,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB49) | (~v142(constB49)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB49) | (~v142(constB49)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29594,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB49) | (~v142(constB49)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29595,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB49) | (~v142(constB49))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29594, 29593])).
% 35.17/23.77 tff(29596,plain,
% 35.17/23.77 (v167(constB49)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29595, 23633, 29588])).
% 35.17/23.77 tff(29597,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB49) | (~v167(constB49)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB49) | (~v167(constB49)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29598,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB49) | (~v167(constB49)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29599,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB49) | (~v167(constB49))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29598, 29597])).
% 35.17/23.77 tff(29600,plain,
% 35.17/23.77 (v166(constB49)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29599, 23658, 29596])).
% 35.17/23.77 tff(29601,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB49) | (~v148(constB49)) | (~v166(constB49)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB49) | (~v148(constB49)) | (~v166(constB49)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29602,plain,
% 35.17/23.77 (((~v148(constB49)) | (~v166(constB49)) | v86(constB49)) <=> (v86(constB49) | (~v148(constB49)) | (~v166(constB49)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29603,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB49)) | (~v166(constB49)) | v86(constB49))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB49) | (~v148(constB49)) | (~v166(constB49))))),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29602])).
% 35.17/23.77 tff(29604,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB49)) | (~v166(constB49)) | v86(constB49))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB49) | (~v148(constB49)) | (~v166(constB49)))),
% 35.17/23.77 inference(transitivity,[status(thm)],[29603, 29601])).
% 35.17/23.77 tff(29605,plain,
% 35.17/23.77 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB49)) | (~v166(constB49)) | v86(constB49))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29606,plain,
% 35.17/23.77 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB49) | (~v148(constB49)) | (~v166(constB49))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29605, 29604])).
% 35.17/23.77 tff(29607,plain,
% 35.17/23.77 (v86(constB49)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29606, 24144, 29600, 29592])).
% 35.17/23.77 tff(29608,plain,
% 35.17/23.77 ($false),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29607, 29565])).
% 35.17/23.77 tff(29609,plain,(~(constB49 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.77 tff(29610,assumption,(constB37 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.77 tff(29611,plain,
% 35.17/23.77 (v86(constB37) <=> v86(sK0_VarCurr)),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29610])).
% 35.17/23.77 tff(29612,plain,
% 35.17/23.77 (v86(sK0_VarCurr) <=> v86(constB37)),
% 35.17/23.77 inference(symmetry,[status(thm)],[29611])).
% 35.17/23.77 tff(29613,plain,
% 35.17/23.77 ((~v86(sK0_VarCurr)) <=> (~v86(constB37))),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29612])).
% 35.17/23.77 tff(29614,plain,
% 35.17/23.77 (~v86(constB37)),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[24067, 29613])).
% 35.17/23.77 tff(29615,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB37) | (~v142(constB37)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB37) | (~v142(constB37)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29616,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB37) | (~v142(constB37)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29617,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB37) | (~v142(constB37))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29616, 29615])).
% 35.17/23.77 tff(29618,plain,
% 35.17/23.77 (v148(constB37)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29617, 24122, 24219])).
% 35.17/23.77 tff(29619,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB37) | (~v148(constB37)) | (~v166(constB37)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB37) | (~v148(constB37)) | (~v166(constB37)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29620,plain,
% 35.17/23.77 (((~v148(constB37)) | (~v166(constB37)) | v86(constB37)) <=> (v86(constB37) | (~v148(constB37)) | (~v166(constB37)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29621,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB37)) | (~v166(constB37)) | v86(constB37))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB37) | (~v148(constB37)) | (~v166(constB37))))),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29620])).
% 35.17/23.77 tff(29622,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB37)) | (~v166(constB37)) | v86(constB37))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB37) | (~v148(constB37)) | (~v166(constB37)))),
% 35.17/23.77 inference(transitivity,[status(thm)],[29621, 29619])).
% 35.17/23.77 tff(29623,plain,
% 35.17/23.77 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB37)) | (~v166(constB37)) | v86(constB37))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29624,plain,
% 35.17/23.77 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB37) | (~v148(constB37)) | (~v166(constB37))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29623, 29622])).
% 35.17/23.77 tff(29625,plain,
% 35.17/23.77 (v86(constB37)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29624, 24144, 24231, 29618])).
% 35.17/23.77 tff(29626,plain,
% 35.17/23.77 ($false),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29625, 29614])).
% 35.17/23.77 tff(29627,plain,(~(constB37 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.77 tff(29628,assumption,(constB25 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.77 tff(29629,plain,
% 35.17/23.77 (v86(constB25) <=> v86(sK0_VarCurr)),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29628])).
% 35.17/23.77 tff(29630,plain,
% 35.17/23.77 (v86(sK0_VarCurr) <=> v86(constB25)),
% 35.17/23.77 inference(symmetry,[status(thm)],[29629])).
% 35.17/23.77 tff(29631,plain,
% 35.17/23.77 ((~v86(sK0_VarCurr)) <=> (~v86(constB25))),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29630])).
% 35.17/23.77 tff(29632,plain,
% 35.17/23.77 (~v86(constB25)),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[24067, 29631])).
% 35.17/23.77 tff(29633,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB25) | (~v142(constB25)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB25) | (~v142(constB25)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29634,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB25) | (~v142(constB25)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29635,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB25) | (~v142(constB25))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29634, 29633])).
% 35.17/23.77 tff(29636,plain,
% 35.17/23.77 (v148(constB25)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29635, 24122, 24356])).
% 35.17/23.77 tff(29637,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB25) | (~v166(constB25)) | (~v148(constB25)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB25) | (~v166(constB25)) | (~v148(constB25)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29638,plain,
% 35.17/23.77 (((~v148(constB25)) | (~v166(constB25)) | v86(constB25)) <=> (v86(constB25) | (~v166(constB25)) | (~v148(constB25)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29639,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB25)) | (~v166(constB25)) | v86(constB25))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB25) | (~v166(constB25)) | (~v148(constB25))))),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29638])).
% 35.17/23.77 tff(29640,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB25)) | (~v166(constB25)) | v86(constB25))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB25) | (~v166(constB25)) | (~v148(constB25)))),
% 35.17/23.77 inference(transitivity,[status(thm)],[29639, 29637])).
% 35.17/23.77 tff(29641,plain,
% 35.17/23.77 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB25)) | (~v166(constB25)) | v86(constB25))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29642,plain,
% 35.17/23.77 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB25) | (~v166(constB25)) | (~v148(constB25))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29641, 29640])).
% 35.17/23.77 tff(29643,plain,
% 35.17/23.77 (v86(constB25)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29642, 24144, 24368, 29636])).
% 35.17/23.77 tff(29644,plain,
% 35.17/23.77 ($false),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29643, 29632])).
% 35.17/23.77 tff(29645,plain,(~(constB25 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.77 tff(29646,assumption,(constB61 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.77 tff(29647,plain,
% 35.17/23.77 (v86(constB61) <=> v86(sK0_VarCurr)),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29646])).
% 35.17/23.77 tff(29648,plain,
% 35.17/23.77 (v86(sK0_VarCurr) <=> v86(constB61)),
% 35.17/23.77 inference(symmetry,[status(thm)],[29647])).
% 35.17/23.77 tff(29649,plain,
% 35.17/23.77 ((~v86(sK0_VarCurr)) <=> (~v86(constB61))),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29648])).
% 35.17/23.77 tff(29650,plain,
% 35.17/23.77 (~v86(constB61)),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[24067, 29649])).
% 35.17/23.77 tff(29651,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB61) | (~v142(constB61)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB61) | (~v142(constB61)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29652,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB61) | (~v142(constB61)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29653,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB61) | (~v142(constB61))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29652, 29651])).
% 35.17/23.77 tff(29654,plain,
% 35.17/23.77 (v148(constB61)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29653, 24122, 24554])).
% 35.17/23.77 tff(29655,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB61) | (~v148(constB61)) | (~v166(constB61)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB61) | (~v148(constB61)) | (~v166(constB61)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29656,plain,
% 35.17/23.77 (((~v148(constB61)) | (~v166(constB61)) | v86(constB61)) <=> (v86(constB61) | (~v148(constB61)) | (~v166(constB61)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29657,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB61)) | (~v166(constB61)) | v86(constB61))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB61) | (~v148(constB61)) | (~v166(constB61))))),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29656])).
% 35.17/23.77 tff(29658,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB61)) | (~v166(constB61)) | v86(constB61))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB61) | (~v148(constB61)) | (~v166(constB61)))),
% 35.17/23.77 inference(transitivity,[status(thm)],[29657, 29655])).
% 35.17/23.77 tff(29659,plain,
% 35.17/23.77 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB61)) | (~v166(constB61)) | v86(constB61))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29660,plain,
% 35.17/23.77 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB61) | (~v148(constB61)) | (~v166(constB61))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29659, 29658])).
% 35.17/23.77 tff(29661,plain,
% 35.17/23.77 (v86(constB61)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29660, 24144, 24566, 29654])).
% 35.17/23.77 tff(29662,plain,
% 35.17/23.77 ($false),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29661, 29650])).
% 35.17/23.77 tff(29663,plain,(~(constB61 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.77 tff(29664,assumption,(constB73 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.77 tff(29665,plain,
% 35.17/23.77 (v86(constB73) <=> v86(sK0_VarCurr)),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29664])).
% 35.17/23.77 tff(29666,plain,
% 35.17/23.77 (v86(sK0_VarCurr) <=> v86(constB73)),
% 35.17/23.77 inference(symmetry,[status(thm)],[29665])).
% 35.17/23.77 tff(29667,plain,
% 35.17/23.77 ((~v86(sK0_VarCurr)) <=> (~v86(constB73))),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29666])).
% 35.17/23.77 tff(29668,plain,
% 35.17/23.77 (~v86(constB73)),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[24067, 29667])).
% 35.17/23.77 tff(29669,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB73, bitIndex0) | (~v88(constB73, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB73, bitIndex0) | (~v88(constB73, bitIndex0)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29670,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB73, bitIndex0) | (~v88(constB73, bitIndex0)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29671,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB73, bitIndex0) | (~v88(constB73, bitIndex0))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29670, 29669])).
% 35.17/23.77 tff(29672,plain,
% 35.17/23.77 (~v88(constB73, bitIndex0)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29671, 23593, 11366])).
% 35.17/23.77 tff(29673,plain,
% 35.17/23.77 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29674,plain,
% 35.17/23.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29675,plain,
% 35.17/23.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2)),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29674, 29673])).
% 35.17/23.77 tff(29676,plain,
% 35.17/23.77 (v88(constB73, bitIndex2)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29675, 23573, 11301])).
% 35.17/23.77 tff(29677,plain,
% 35.17/23.77 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB73, bitIndex1)) | v88(constB73, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB73, bitIndex1)) | v88(constB73, bitIndex1))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29678,plain,
% 35.17/23.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB73, bitIndex1)) | v88(constB73, bitIndex1))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29679,plain,
% 35.17/23.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB73, bitIndex1)) | v88(constB73, bitIndex1)),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29678, 29677])).
% 35.17/23.77 tff(29680,plain,
% 35.17/23.77 (v88(constB73, bitIndex1)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29679, 23528, 11332])).
% 35.17/23.77 tff(29681,plain,
% 35.17/23.77 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v144(constB73))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v144(constB73))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29682,plain,
% 35.17/23.77 (((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0) | v144(constB73)) <=> (v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v144(constB73))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29683,plain,
% 35.17/23.77 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0) | v144(constB73))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v144(constB73)))),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29682])).
% 35.17/23.77 tff(29684,plain,
% 35.17/23.77 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0) | v144(constB73))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v144(constB73))),
% 35.17/23.77 inference(transitivity,[status(thm)],[29683, 29681])).
% 35.17/23.77 tff(29685,plain,
% 35.17/23.77 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0) | v144(constB73))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29686,plain,
% 35.17/23.77 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB73, bitIndex0) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v144(constB73)),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29685, 29684])).
% 35.17/23.77 tff(29687,plain,
% 35.17/23.77 (v144(constB73)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29686, 23607, 29680, 29676, 29672])).
% 35.17/23.77 tff(29688,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB73) | (~v144(constB73)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB73) | (~v144(constB73)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29689,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB73) | (~v144(constB73)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29690,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB73) | (~v144(constB73))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29689, 29688])).
% 35.17/23.77 tff(29691,plain,
% 35.17/23.77 (v142(constB73)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29690, 23622, 29687])).
% 35.17/23.77 tff(29692,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB73) | (~v142(constB73)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB73) | (~v142(constB73)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29693,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB73) | (~v142(constB73)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29694,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB73) | (~v142(constB73))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29693, 29692])).
% 35.17/23.77 tff(29695,plain,
% 35.17/23.77 (v148(constB73)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29694, 24122, 29691])).
% 35.17/23.77 tff(29696,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB73) | (~v142(constB73)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB73) | (~v142(constB73)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29697,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB73) | (~v142(constB73)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29698,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB73) | (~v142(constB73))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29697, 29696])).
% 35.17/23.77 tff(29699,plain,
% 35.17/23.77 (v167(constB73)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29698, 23633, 29691])).
% 35.17/23.77 tff(29700,plain,
% 35.17/23.77 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB73) | (~v167(constB73)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB73) | (~v167(constB73)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29701,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB73) | (~v167(constB73)))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29702,plain,
% 35.17/23.77 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB73) | (~v167(constB73))),
% 35.17/23.77 inference(modus_ponens,[status(thm)],[29701, 29700])).
% 35.17/23.77 tff(29703,plain,
% 35.17/23.77 (v166(constB73)),
% 35.17/23.77 inference(unit_resolution,[status(thm)],[29702, 23658, 29699])).
% 35.17/23.77 tff(29704,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB73) | (~v166(constB73)) | (~v148(constB73)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB73) | (~v166(constB73)) | (~v148(constB73)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29705,plain,
% 35.17/23.77 (((~v148(constB73)) | (~v166(constB73)) | v86(constB73)) <=> (v86(constB73) | (~v166(constB73)) | (~v148(constB73)))),
% 35.17/23.77 inference(rewrite,[status(thm)],[])).
% 35.17/23.77 tff(29706,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB73)) | (~v166(constB73)) | v86(constB73))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | (v86(constB73) | (~v166(constB73)) | (~v148(constB73))))),
% 35.17/23.77 inference(monotonicity,[status(thm)],[29705])).
% 35.17/23.77 tff(29707,plain,
% 35.17/23.77 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB73)) | (~v166(constB73)) | v86(constB73))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB73) | (~v166(constB73)) | (~v148(constB73)))),
% 35.17/23.77 inference(transitivity,[status(thm)],[29706, 29704])).
% 35.17/23.77 tff(29708,plain,
% 35.17/23.77 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | ((~v148(constB73)) | (~v166(constB73)) | v86(constB73))),
% 35.17/23.77 inference(quant_inst,[status(thm)],[])).
% 35.17/23.77 tff(29709,plain,
% 35.17/23.77 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v166(VarNext)) | v86(VarNext))) | v86(constB73) | (~v166(constB73)) | (~v148(constB73))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29708, 29707])).
% 35.17/23.78 tff(29710,plain,
% 35.17/23.78 (v86(constB73)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29709, 24144, 29703, 29695])).
% 35.17/23.78 tff(29711,plain,
% 35.17/23.78 ($false),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29710, 29668])).
% 35.17/23.78 tff(29712,plain,(~(constB73 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.78 tff(29713,assumption,(constB41 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.78 tff(29714,plain,
% 35.17/23.78 (v193(constB41) <=> v193(sK0_VarCurr)),
% 35.17/23.78 inference(monotonicity,[status(thm)],[29713])).
% 35.17/23.78 tff(29715,plain,
% 35.17/23.78 (v193(sK0_VarCurr) <=> v193(constB41)),
% 35.17/23.78 inference(symmetry,[status(thm)],[29714])).
% 35.17/23.78 tff(29716,plain,
% 35.17/23.78 (v193(constB41)),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[24025, 29715])).
% 35.17/23.78 tff(29717,assumption,(v18(constB40)), introduced(assumption)).
% 35.17/23.78 tff(29718,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB40))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29719,plain,
% 35.17/23.78 ($false),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29718, 8, 29717])).
% 35.17/23.78 tff(29720,plain,(~v18(constB40)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.78 tff(29721,plain,
% 35.17/23.78 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB40) | (~v1(constB40)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB40) | (~v1(constB40)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29722,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB40) | (~v1(constB40)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29723,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB40) | (~v1(constB40))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29722, 29721])).
% 35.17/23.78 tff(29724,plain,
% 35.17/23.78 (v22(constB40)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29723, 21, 7586])).
% 35.17/23.78 tff(29725,plain,
% 35.17/23.78 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB40)) | (~v22(constB40)) | v18(constB40))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB40)) | (~v22(constB40)) | v18(constB40))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29726,plain,
% 35.17/23.78 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB40)) | (~v22(constB40)) | v18(constB40))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29727,plain,
% 35.17/23.78 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB40)) | (~v22(constB40)) | v18(constB40)),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29726, 29725])).
% 35.17/23.78 tff(29728,plain,
% 35.17/23.78 ((~v19(constB40)) | v18(constB40)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29727, 35, 29724])).
% 35.17/23.78 tff(29729,plain,
% 35.17/23.78 (~v19(constB40)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29728, 29720])).
% 35.17/23.78 tff(29730,plain,
% 35.17/23.78 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB40) | v19(constB40))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB40) | v19(constB40))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29731,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB40) | v19(constB40))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29732,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB40) | v19(constB40)),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29731, 29730])).
% 35.17/23.78 tff(29733,plain,
% 35.17/23.78 (v13(constB40)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29732, 50, 29729])).
% 35.17/23.78 tff(29734,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB39, constB40)) | (~v13(constB40)) | v9(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB39, constB40)) | (~v13(constB40)) | v9(constB39))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29735,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB39, constB40)) | (~v13(constB40)) | v9(constB39))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29736,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB39, constB40)) | (~v13(constB40)) | v9(constB39)),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29735, 29734])).
% 35.17/23.78 tff(29737,plain,
% 35.17/23.78 ((~v13(constB40)) | v9(constB39)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29736, 67, 7563])).
% 35.17/23.78 tff(29738,plain,
% 35.17/23.78 (v9(constB39)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29737, 29733])).
% 35.17/23.78 tff(29739,plain,
% 35.17/23.78 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB39) | (~v9(constB39)) | v197(constB39))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB39) | (~v9(constB39)) | v197(constB39))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29740,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB39) | (~v9(constB39)) | v197(constB39))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29741,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB39) | (~v9(constB39)) | v197(constB39)),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29740, 29739])).
% 35.17/23.78 tff(29742,plain,
% 35.17/23.78 ((~v9(constB39)) | v197(constB39)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29741, 85, 7423])).
% 35.17/23.78 tff(29743,plain,
% 35.17/23.78 (v197(constB39)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29742, 29738])).
% 35.17/23.78 tff(29744,plain,
% 35.17/23.78 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB39) | (~v197(constB39)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB39) | (~v197(constB39)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29745,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB39) | (~v197(constB39)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29746,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB39) | (~v197(constB39))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29745, 29744])).
% 35.17/23.78 tff(29747,plain,
% 35.17/23.78 (v196(constB39)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29746, 97, 29743])).
% 35.17/23.78 tff(29748,plain,
% 35.17/23.78 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB39)) | (~v196(constB39)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB39)) | (~v196(constB39)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29749,plain,
% 35.17/23.78 (((~v196(constB39)) | (~v194(constB39))) <=> ((~v194(constB39)) | (~v196(constB39)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29750,plain,
% 35.17/23.78 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB39)) | (~v194(constB39)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB39)) | (~v196(constB39))))),
% 35.17/23.78 inference(monotonicity,[status(thm)],[29749])).
% 35.17/23.78 tff(29751,plain,
% 35.17/23.78 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB39)) | (~v194(constB39)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB39)) | (~v196(constB39)))),
% 35.17/23.78 inference(transitivity,[status(thm)],[29750, 29748])).
% 35.17/23.78 tff(29752,plain,
% 35.17/23.78 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB39)) | (~v194(constB39)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29753,plain,
% 35.17/23.78 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB39)) | (~v196(constB39))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29752, 29751])).
% 35.17/23.78 tff(29754,plain,
% 35.17/23.78 (~v194(constB39)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29753, 108, 29747])).
% 35.17/23.78 tff(29755,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB37) | (~nextState(constB37, constB38)) | (~v186(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB37) | (~nextState(constB37, constB38)) | (~v186(constB38)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29756,plain,
% 35.17/23.78 (((~nextState(constB37, constB38)) | v163(constB37) | (~v186(constB38))) <=> (v163(constB37) | (~nextState(constB37, constB38)) | (~v186(constB38)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29757,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB37, constB38)) | v163(constB37) | (~v186(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB37) | (~nextState(constB37, constB38)) | (~v186(constB38))))),
% 35.17/23.78 inference(monotonicity,[status(thm)],[29756])).
% 35.17/23.78 tff(29758,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB37, constB38)) | v163(constB37) | (~v186(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB37) | (~nextState(constB37, constB38)) | (~v186(constB38)))),
% 35.17/23.78 inference(transitivity,[status(thm)],[29757, 29755])).
% 35.17/23.78 tff(29759,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB37, constB38)) | v163(constB37) | (~v186(constB38)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29760,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB37) | (~nextState(constB37, constB38)) | (~v186(constB38))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29759, 29758])).
% 35.17/23.78 tff(29761,plain,
% 35.17/23.78 (v163(constB37) | (~v186(constB38))),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29760, 23806, 7306])).
% 35.17/23.78 tff(29762,plain,
% 35.17/23.78 (~v186(constB38)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29761, 24238])).
% 35.17/23.78 tff(29763,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB37, constB38)) | v181(constB38) | v104(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB37, constB38)) | v181(constB38) | v104(constB38))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29764,plain,
% 35.17/23.78 (((~nextState(constB37, constB38)) | v104(constB38) | v181(constB38)) <=> ((~nextState(constB37, constB38)) | v181(constB38) | v104(constB38))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29765,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | v181(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB37, constB38)) | v181(constB38) | v104(constB38)))),
% 35.17/23.78 inference(monotonicity,[status(thm)],[29764])).
% 35.17/23.78 tff(29766,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | v181(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB37, constB38)) | v181(constB38) | v104(constB38))),
% 35.17/23.78 inference(transitivity,[status(thm)],[29765, 29763])).
% 35.17/23.78 tff(29767,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | v181(constB38))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29768,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB37, constB38)) | v181(constB38) | v104(constB38)),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29767, 29766])).
% 35.17/23.78 tff(29769,plain,
% 35.17/23.78 (v181(constB38) | v104(constB38)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29768, 23828, 7306])).
% 35.17/23.78 tff(29770,plain,
% 35.17/23.78 (v181(constB38)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29769, 7385])).
% 35.17/23.78 tff(29771,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB37, constB38)) | v180(constB38) | (~v1(constB38)) | (~v181(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB37, constB38)) | v180(constB38) | (~v1(constB38)) | (~v181(constB38)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29772,plain,
% 35.17/23.78 (((~nextState(constB37, constB38)) | (~v1(constB38)) | v180(constB38) | (~v181(constB38))) <=> ((~nextState(constB37, constB38)) | v180(constB38) | (~v1(constB38)) | (~v181(constB38)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29773,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB37, constB38)) | (~v1(constB38)) | v180(constB38) | (~v181(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB37, constB38)) | v180(constB38) | (~v1(constB38)) | (~v181(constB38))))),
% 35.17/23.78 inference(monotonicity,[status(thm)],[29772])).
% 35.17/23.78 tff(29774,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB37, constB38)) | (~v1(constB38)) | v180(constB38) | (~v181(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB37, constB38)) | v180(constB38) | (~v1(constB38)) | (~v181(constB38)))),
% 35.17/23.78 inference(transitivity,[status(thm)],[29773, 29771])).
% 35.17/23.78 tff(29775,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB37, constB38)) | (~v1(constB38)) | v180(constB38) | (~v181(constB38)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29776,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB37, constB38)) | v180(constB38) | (~v1(constB38)) | (~v181(constB38))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29775, 29774])).
% 35.17/23.78 tff(29777,plain,
% 35.17/23.78 (v180(constB38) | (~v181(constB38))),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29776, 23846, 7306, 7396])).
% 35.17/23.78 tff(29778,plain,
% 35.17/23.78 (v180(constB38)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29777, 29770])).
% 35.17/23.78 tff(29779,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB37, constB38)) | v179(constB38) | (~v180(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB37, constB38)) | v179(constB38) | (~v180(constB38)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29780,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB37, constB38)) | v179(constB38) | (~v180(constB38)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29781,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB37, constB38)) | v179(constB38) | (~v180(constB38))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29780, 29779])).
% 35.17/23.78 tff(29782,plain,
% 35.17/23.78 (v179(constB38) | (~v180(constB38))),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29781, 23864, 7306])).
% 35.17/23.78 tff(29783,plain,
% 35.17/23.78 (v179(constB38)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29782, 29778])).
% 35.17/23.78 tff(29784,plain,
% 35.17/23.78 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB38)) | v186(constB38) | (~v179(constB38)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB38)) | v186(constB38) | (~v179(constB38)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29785,plain,
% 35.17/23.78 (((~v179(constB38)) | (~v159(constB38)) | v186(constB38)) <=> ((~v159(constB38)) | v186(constB38) | (~v179(constB38)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29786,plain,
% 35.17/23.78 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB38)) | (~v159(constB38)) | v186(constB38))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB38)) | v186(constB38) | (~v179(constB38))))),
% 35.17/23.78 inference(monotonicity,[status(thm)],[29785])).
% 35.17/23.78 tff(29787,plain,
% 35.17/23.78 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB38)) | (~v159(constB38)) | v186(constB38))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB38)) | v186(constB38) | (~v179(constB38)))),
% 35.17/23.78 inference(transitivity,[status(thm)],[29786, 29784])).
% 35.17/23.78 tff(29788,plain,
% 35.17/23.78 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB38)) | (~v159(constB38)) | v186(constB38))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29789,plain,
% 35.17/23.78 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB38)) | v186(constB38) | (~v179(constB38))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29788, 29787])).
% 35.17/23.78 tff(29790,plain,
% 35.17/23.78 ((~v159(constB38)) | v186(constB38)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29789, 23879, 29783])).
% 35.17/23.78 tff(29791,plain,
% 35.17/23.78 (~v159(constB38)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29790, 29762])).
% 35.17/23.78 tff(29792,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v180(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v180(constB39)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29793,plain,
% 35.17/23.78 (((~nextState(constB38, constB39)) | v1(constB39) | (~v180(constB39))) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v180(constB39)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29794,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB38, constB39)) | v1(constB39) | (~v180(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v180(constB39))))),
% 35.17/23.78 inference(monotonicity,[status(thm)],[29793])).
% 35.17/23.78 tff(29795,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB38, constB39)) | v1(constB39) | (~v180(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v180(constB39)))),
% 35.17/23.78 inference(transitivity,[status(thm)],[29794, 29792])).
% 35.17/23.78 tff(29796,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB38, constB39)) | v1(constB39) | (~v180(constB39)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29797,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v180(constB39))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29796, 29795])).
% 35.17/23.78 tff(29798,plain,
% 35.17/23.78 (~v180(constB39)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29797, 23900, 7426, 7423])).
% 35.17/23.78 tff(29799,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB38, constB39)) | v180(constB39) | (~v179(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB38, constB39)) | v180(constB39) | (~v179(constB39)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29800,plain,
% 35.17/23.78 (((~nextState(constB38, constB39)) | (~v179(constB39)) | v180(constB39)) <=> ((~nextState(constB38, constB39)) | v180(constB39) | (~v179(constB39)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29801,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB38, constB39)) | (~v179(constB39)) | v180(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB38, constB39)) | v180(constB39) | (~v179(constB39))))),
% 35.17/23.78 inference(monotonicity,[status(thm)],[29800])).
% 35.17/23.78 tff(29802,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB38, constB39)) | (~v179(constB39)) | v180(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB38, constB39)) | v180(constB39) | (~v179(constB39)))),
% 35.17/23.78 inference(transitivity,[status(thm)],[29801, 29799])).
% 35.17/23.78 tff(29803,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB38, constB39)) | (~v179(constB39)) | v180(constB39))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29804,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB38, constB39)) | v180(constB39) | (~v179(constB39))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29803, 29802])).
% 35.17/23.78 tff(29805,plain,
% 35.17/23.78 (v180(constB39) | (~v179(constB39))),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29804, 23917, 7426])).
% 35.17/23.78 tff(29806,plain,
% 35.17/23.78 (~v179(constB39)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29805, 29798])).
% 35.17/23.78 tff(29807,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB38) | (~nextState(constB38, constB39)) | v179(constB39) | (~v159(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB38) | (~nextState(constB38, constB39)) | v179(constB39) | (~v159(constB39)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29808,plain,
% 35.17/23.78 (((~nextState(constB38, constB39)) | v179(constB39) | v159(constB38) | (~v159(constB39))) <=> (v159(constB38) | (~nextState(constB38, constB39)) | v179(constB39) | (~v159(constB39)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29809,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB38, constB39)) | v179(constB39) | v159(constB38) | (~v159(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB38) | (~nextState(constB38, constB39)) | v179(constB39) | (~v159(constB39))))),
% 35.17/23.78 inference(monotonicity,[status(thm)],[29808])).
% 35.17/23.78 tff(29810,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB38, constB39)) | v179(constB39) | v159(constB38) | (~v159(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB38) | (~nextState(constB38, constB39)) | v179(constB39) | (~v159(constB39)))),
% 35.17/23.78 inference(transitivity,[status(thm)],[29809, 29807])).
% 35.17/23.78 tff(29811,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB38, constB39)) | v179(constB39) | v159(constB38) | (~v159(constB39)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29812,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB38) | (~nextState(constB38, constB39)) | v179(constB39) | (~v159(constB39))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29811, 29810])).
% 35.17/23.78 tff(29813,plain,
% 35.17/23.78 (v159(constB38) | v179(constB39) | (~v159(constB39))),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29812, 23935, 7426])).
% 35.17/23.78 tff(29814,plain,
% 35.17/23.78 (v159(constB38) | (~v159(constB39))),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29813, 29806])).
% 35.17/23.78 tff(29815,plain,
% 35.17/23.78 (~v159(constB39)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29814, 29791])).
% 35.17/23.78 tff(29816,plain,
% 35.17/23.78 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB39) | (~v201(constB39)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB39) | (~v201(constB39)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29817,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB39) | (~v201(constB39)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29818,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB39) | (~v201(constB39))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29817, 29816])).
% 35.17/23.78 tff(29819,plain,
% 35.17/23.78 (~v201(constB39)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29818, 23951, 29815])).
% 35.17/23.78 tff(29820,plain,
% 35.17/23.78 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB39) | (~v200(constB39)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB39) | (~v200(constB39)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29821,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB39) | (~v200(constB39)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29822,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB39) | (~v200(constB39))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29821, 29820])).
% 35.17/23.78 tff(29823,plain,
% 35.17/23.78 (~v200(constB39)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29822, 23697, 29819])).
% 35.17/23.78 tff(29824,plain,
% 35.17/23.78 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB39) | (~v198(constB39)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB39) | (~v198(constB39)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29825,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB39) | (~v198(constB39)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29826,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB39) | (~v198(constB39))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29825, 29824])).
% 35.17/23.78 tff(29827,plain,
% 35.17/23.78 (~v198(constB39)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29826, 23708, 29823])).
% 35.17/23.78 tff(29828,plain,
% 35.17/23.78 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB39) | v198(constB39) | (~v191(constB39)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB39) | v198(constB39) | (~v191(constB39)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29829,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB39) | v198(constB39) | (~v191(constB39)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29830,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB39) | v198(constB39) | (~v191(constB39))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29829, 29828])).
% 35.17/23.78 tff(29831,plain,
% 35.17/23.78 (v194(constB39) | (~v191(constB39))),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29830, 23722, 29827])).
% 35.17/23.78 tff(29832,plain,
% 35.17/23.78 (~v191(constB39)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29831, 29754])).
% 35.17/23.78 tff(29833,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB39, constB40)) | v191(constB39) | (~v193(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB39, constB40)) | v191(constB39) | (~v193(constB40)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29834,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB39, constB40)) | v191(constB39) | (~v193(constB40)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29835,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB39, constB40)) | v191(constB39) | (~v193(constB40))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29834, 29833])).
% 35.17/23.78 tff(29836,plain,
% 35.17/23.78 (v191(constB39) | (~v193(constB40))),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29835, 23737, 7563])).
% 35.17/23.78 tff(29837,plain,
% 35.17/23.78 (~v193(constB40)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29836, 29832])).
% 35.17/23.78 tff(29838,plain,
% 35.17/23.78 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB40) | (~v194(constB40)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB40) | (~v194(constB40)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29839,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB40) | (~v194(constB40)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29840,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB40) | (~v194(constB40))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29839, 29838])).
% 35.17/23.78 tff(29841,plain,
% 35.17/23.78 (~v194(constB40)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29840, 23749, 29837])).
% 35.17/23.78 tff(29842,plain,
% 35.17/23.78 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB40)) | (~v197(constB40)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB40)) | (~v197(constB40)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29843,plain,
% 35.17/23.78 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB40)) | (~v197(constB40)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29844,plain,
% 35.17/23.78 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB40)) | (~v197(constB40))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29843, 29842])).
% 35.17/23.78 tff(29845,plain,
% 35.17/23.78 (~v197(constB40)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29844, 23760, 7586])).
% 35.17/23.78 tff(29846,plain,
% 35.17/23.78 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB40) | (~v200(constB40)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB40) | (~v200(constB40)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29847,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB40) | (~v200(constB40)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29848,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB40) | (~v200(constB40))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29847, 29846])).
% 35.17/23.78 tff(29849,plain,
% 35.17/23.78 (~v200(constB40)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29848, 23771, 29845])).
% 35.17/23.78 tff(29850,plain,
% 35.17/23.78 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB40) | (~v198(constB40)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB40) | (~v198(constB40)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29851,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB40) | (~v198(constB40)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29852,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB40) | (~v198(constB40))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29851, 29850])).
% 35.17/23.78 tff(29853,plain,
% 35.17/23.78 (~v198(constB40)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29852, 23708, 29849])).
% 35.17/23.78 tff(29854,plain,
% 35.17/23.78 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB40) | v198(constB40) | (~v191(constB40)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB40) | v198(constB40) | (~v191(constB40)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29855,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB40) | v198(constB40) | (~v191(constB40)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29856,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB40) | v198(constB40) | (~v191(constB40))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29855, 29854])).
% 35.17/23.78 tff(29857,plain,
% 35.17/23.78 (v194(constB40) | (~v191(constB40))),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29856, 23722, 29853])).
% 35.17/23.78 tff(29858,plain,
% 35.17/23.78 (~v191(constB40)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29857, 29841])).
% 35.17/23.78 tff(29859,plain,
% 35.17/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB40, constB41)) | v191(constB40) | (~v193(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB40, constB41)) | v191(constB40) | (~v193(constB41)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29860,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB40, constB41)) | v191(constB40) | (~v193(constB41)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29861,plain,
% 35.17/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB40, constB41)) | v191(constB40) | (~v193(constB41))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29860, 29859])).
% 35.17/23.78 tff(29862,plain,
% 35.17/23.78 (v191(constB40) | (~v193(constB41))),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29861, 23737, 7634])).
% 35.17/23.78 tff(29863,plain,
% 35.17/23.78 (~v193(constB41)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29862, 29858])).
% 35.17/23.78 tff(29864,plain,
% 35.17/23.78 ($false),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29863, 29716])).
% 35.17/23.78 tff(29865,plain,(~(constB41 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.78 tff(29866,assumption,(constB154 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.78 tff(29867,plain,
% 35.17/23.78 (v1(constB154) <=> v1(sK0_VarCurr)),
% 35.17/23.78 inference(monotonicity,[status(thm)],[29866])).
% 35.17/23.78 tff(29868,plain,
% 35.17/23.78 (v1(sK0_VarCurr) <=> v1(constB154)),
% 35.17/23.78 inference(symmetry,[status(thm)],[29867])).
% 35.17/23.78 tff(29869,plain,
% 35.17/23.78 ((~v1(sK0_VarCurr)) <=> (~v1(constB154))),
% 35.17/23.78 inference(monotonicity,[status(thm)],[29868])).
% 35.17/23.78 tff(29870,plain,
% 35.17/23.78 (^[VarCurr: $i] : refl((v197(VarCurr) | (~v207(VarCurr))) <=> (v197(VarCurr) | (~v207(VarCurr))))),
% 35.17/23.78 inference(bind,[status(th)],[])).
% 35.17/23.78 tff(29871,plain,
% 35.17/23.78 (![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))),
% 35.17/23.78 inference(quant_intro,[status(thm)],[29870])).
% 35.17/23.78 tff(29872,plain,
% 35.17/23.78 (![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29873,axiom,(![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51_1_1_1_1')).
% 35.17/23.78 tff(29874,plain,
% 35.17/23.78 (![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29873, 29872])).
% 35.17/23.78 tff(29875,plain,(
% 35.17/23.78 ![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))),
% 35.17/23.78 inference(skolemize,[status(sab)],[29874])).
% 35.17/23.78 tff(29876,plain,
% 35.17/23.78 (![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29875, 29871])).
% 35.17/23.78 tff(29877,plain,
% 35.17/23.78 (((~![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))) | (v197(sK0_VarCurr) | (~v207(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))) | v197(sK0_VarCurr) | (~v207(sK0_VarCurr)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29878,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))) | (v197(sK0_VarCurr) | (~v207(sK0_VarCurr)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29879,plain,
% 35.17/23.78 ((~![VarCurr: $i] : (v197(VarCurr) | (~v207(VarCurr)))) | v197(sK0_VarCurr) | (~v207(sK0_VarCurr))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29878, 29877])).
% 35.17/23.78 tff(29880,plain,
% 35.17/23.78 (v197(sK0_VarCurr)),
% 35.17/23.78 inference(unit_resolution,[status(thm)],[29879, 29876, 24056])).
% 35.17/23.78 tff(29881,plain,
% 35.17/23.78 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr)))),
% 35.17/23.78 inference(rewrite,[status(thm)],[])).
% 35.17/23.78 tff(29882,plain,
% 35.17/23.78 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr)))),
% 35.17/23.78 inference(quant_inst,[status(thm)],[])).
% 35.17/23.78 tff(29883,plain,
% 35.17/23.78 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr))),
% 35.17/23.78 inference(modus_ponens,[status(thm)],[29882, 29881])).
% 35.17/23.79 tff(29884,plain,
% 35.17/23.79 (~v1(sK0_VarCurr)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29883, 23760, 29880])).
% 35.17/23.79 tff(29885,plain,
% 35.17/23.79 (~v1(constB154)),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29884, 29869])).
% 35.17/23.79 tff(29886,plain,
% 35.17/23.79 ($false),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[22333, 29885])).
% 35.17/23.79 tff(29887,plain,(~(constB154 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.79 tff(29888,assumption,(constB75 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.79 tff(29889,plain,
% 35.17/23.79 (v193(constB75) <=> v193(sK0_VarCurr)),
% 35.17/23.79 inference(monotonicity,[status(thm)],[29888])).
% 35.17/23.79 tff(29890,plain,
% 35.17/23.79 (v193(sK0_VarCurr) <=> v193(constB75)),
% 35.17/23.79 inference(symmetry,[status(thm)],[29889])).
% 35.17/23.79 tff(29891,plain,
% 35.17/23.79 (v193(constB75)),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[24025, 29890])).
% 35.17/23.79 tff(29892,plain,
% 35.17/23.79 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB73)) | (~v170(constB73)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB73)) | (~v170(constB73)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29893,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB73)) | (~v170(constB73)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29894,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB73)) | (~v170(constB73))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29893, 29892])).
% 35.17/23.79 tff(29895,plain,
% 35.17/23.79 (~v170(constB73)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29894, 23647, 29699])).
% 35.17/23.79 tff(29896,plain,
% 35.17/23.79 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB73)) | (~v166(constB73)) | v170(constB73))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB73)) | (~v166(constB73)) | v170(constB73))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29897,plain,
% 35.17/23.79 (((~v166(constB73)) | v170(constB73) | (~v163(constB73))) <=> ((~v163(constB73)) | (~v166(constB73)) | v170(constB73))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29898,plain,
% 35.17/23.79 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB73)) | v170(constB73) | (~v163(constB73)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB73)) | (~v166(constB73)) | v170(constB73)))),
% 35.17/23.79 inference(monotonicity,[status(thm)],[29897])).
% 35.17/23.79 tff(29899,plain,
% 35.17/23.79 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB73)) | v170(constB73) | (~v163(constB73)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB73)) | (~v166(constB73)) | v170(constB73))),
% 35.17/23.79 inference(transitivity,[status(thm)],[29898, 29896])).
% 35.17/23.79 tff(29900,plain,
% 35.17/23.79 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB73)) | v170(constB73) | (~v163(constB73)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29901,plain,
% 35.17/23.79 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB73)) | (~v166(constB73)) | v170(constB73)),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29900, 29899])).
% 35.17/23.79 tff(29902,plain,
% 35.17/23.79 (~v163(constB73)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29901, 23672, 29703, 29895])).
% 35.17/23.79 tff(29903,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB73) | (~v201(constB73)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB73) | (~v201(constB73)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29904,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB73) | (~v201(constB73)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29905,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB73) | (~v201(constB73))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29904, 29903])).
% 35.17/23.79 tff(29906,plain,
% 35.17/23.79 (~v201(constB73)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29905, 23686, 29902])).
% 35.17/23.79 tff(29907,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB73) | (~v200(constB73)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB73) | (~v200(constB73)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29908,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB73) | (~v200(constB73)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29909,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB73) | (~v200(constB73))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29908, 29907])).
% 35.17/23.79 tff(29910,plain,
% 35.17/23.79 (~v200(constB73)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29909, 23697, 29906])).
% 35.17/23.79 tff(29911,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB73) | (~v198(constB73)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB73) | (~v198(constB73)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29912,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB73) | (~v198(constB73)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29913,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB73) | (~v198(constB73))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29912, 29911])).
% 35.17/23.79 tff(29914,plain,
% 35.17/23.79 (~v198(constB73)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29913, 23708, 29910])).
% 35.17/23.79 tff(29915,assumption,(v18(constB74)), introduced(assumption)).
% 35.17/23.79 tff(29916,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB74))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29917,plain,
% 35.17/23.79 ($false),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29916, 8, 29915])).
% 35.17/23.79 tff(29918,plain,(~v18(constB74)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.79 tff(29919,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29920,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29921,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29920, 29919])).
% 35.17/23.79 tff(29922,plain,
% 35.17/23.79 (v22(constB74)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29921, 21, 11413])).
% 35.17/23.79 tff(29923,plain,
% 35.17/23.79 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB74)) | (~v22(constB74)) | v18(constB74))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB74)) | (~v22(constB74)) | v18(constB74))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29924,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB74)) | (~v22(constB74)) | v18(constB74))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29925,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB74)) | (~v22(constB74)) | v18(constB74)),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29924, 29923])).
% 35.17/23.79 tff(29926,plain,
% 35.17/23.79 ((~v19(constB74)) | v18(constB74)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29925, 35, 29922])).
% 35.17/23.79 tff(29927,plain,
% 35.17/23.79 (~v19(constB74)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29926, 29918])).
% 35.17/23.79 tff(29928,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29929,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29930,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74)),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29929, 29928])).
% 35.17/23.79 tff(29931,plain,
% 35.17/23.79 (v13(constB74)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29930, 50, 29927])).
% 35.17/23.79 tff(29932,plain,
% 35.17/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29933,plain,
% 35.17/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29934,plain,
% 35.17/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73)),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29933, 29932])).
% 35.17/23.79 tff(29935,plain,
% 35.17/23.79 ((~v13(constB74)) | v9(constB73)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29934, 67, 11390])).
% 35.17/23.79 tff(29936,plain,
% 35.17/23.79 (v9(constB73)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29935, 29931])).
% 35.17/23.79 tff(29937,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v197(constB73))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB73) | (~v9(constB73)) | v197(constB73))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29938,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v197(constB73))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29939,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB73) | (~v9(constB73)) | v197(constB73)),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29938, 29937])).
% 35.17/23.79 tff(29940,plain,
% 35.17/23.79 ((~v9(constB73)) | v197(constB73)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29939, 85, 11277])).
% 35.17/23.79 tff(29941,plain,
% 35.17/23.79 (v197(constB73)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29940, 29936])).
% 35.17/23.79 tff(29942,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB73) | (~v197(constB73)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB73) | (~v197(constB73)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29943,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB73) | (~v197(constB73)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29944,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB73) | (~v197(constB73))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29943, 29942])).
% 35.17/23.79 tff(29945,plain,
% 35.17/23.79 (v196(constB73)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29944, 97, 29941])).
% 35.17/23.79 tff(29946,plain,
% 35.17/23.79 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB73)) | (~v196(constB73)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB73)) | (~v196(constB73)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29947,plain,
% 35.17/23.79 (((~v196(constB73)) | (~v194(constB73))) <=> ((~v194(constB73)) | (~v196(constB73)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29948,plain,
% 35.17/23.79 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB73)) | (~v194(constB73)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB73)) | (~v196(constB73))))),
% 35.17/23.79 inference(monotonicity,[status(thm)],[29947])).
% 35.17/23.79 tff(29949,plain,
% 35.17/23.79 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB73)) | (~v194(constB73)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB73)) | (~v196(constB73)))),
% 35.17/23.79 inference(transitivity,[status(thm)],[29948, 29946])).
% 35.17/23.79 tff(29950,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB73)) | (~v194(constB73)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29951,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB73)) | (~v196(constB73))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29950, 29949])).
% 35.17/23.79 tff(29952,plain,
% 35.17/23.79 (~v194(constB73)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29951, 108, 29945])).
% 35.17/23.79 tff(29953,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB73) | v198(constB73) | (~v191(constB73)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB73) | v198(constB73) | (~v191(constB73)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29954,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB73) | v198(constB73) | (~v191(constB73)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29955,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB73) | v198(constB73) | (~v191(constB73))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29954, 29953])).
% 35.17/23.79 tff(29956,plain,
% 35.17/23.79 (v198(constB73) | (~v191(constB73))),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29955, 23722, 29952])).
% 35.17/23.79 tff(29957,plain,
% 35.17/23.79 (~v191(constB73)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29956, 29914])).
% 35.17/23.79 tff(29958,plain,
% 35.17/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB73, constB74)) | v191(constB73) | (~v193(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB73, constB74)) | v191(constB73) | (~v193(constB74)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29959,plain,
% 35.17/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB73, constB74)) | v191(constB73) | (~v193(constB74)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29960,plain,
% 35.17/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB73, constB74)) | v191(constB73) | (~v193(constB74))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29959, 29958])).
% 35.17/23.79 tff(29961,plain,
% 35.17/23.79 (v191(constB73) | (~v193(constB74))),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29960, 23737, 11390])).
% 35.17/23.79 tff(29962,plain,
% 35.17/23.79 (~v193(constB74)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29961, 29957])).
% 35.17/23.79 tff(29963,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB74) | (~v194(constB74)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB74) | (~v194(constB74)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29964,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB74) | (~v194(constB74)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29965,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB74) | (~v194(constB74))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29964, 29963])).
% 35.17/23.79 tff(29966,plain,
% 35.17/23.79 (~v194(constB74)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29965, 23749, 29962])).
% 35.17/23.79 tff(29967,plain,
% 35.17/23.79 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB74)) | (~v197(constB74)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB74)) | (~v197(constB74)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29968,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB74)) | (~v197(constB74)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29969,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB74)) | (~v197(constB74))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29968, 29967])).
% 35.17/23.79 tff(29970,plain,
% 35.17/23.79 (~v197(constB74)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29969, 23760, 11413])).
% 35.17/23.79 tff(29971,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB74) | (~v200(constB74)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB74) | (~v200(constB74)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29972,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB74) | (~v200(constB74)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29973,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB74) | (~v200(constB74))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29972, 29971])).
% 35.17/23.79 tff(29974,plain,
% 35.17/23.79 (~v200(constB74)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29973, 23771, 29970])).
% 35.17/23.79 tff(29975,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB74) | (~v198(constB74)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB74) | (~v198(constB74)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29976,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB74) | (~v198(constB74)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29977,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB74) | (~v198(constB74))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29976, 29975])).
% 35.17/23.79 tff(29978,plain,
% 35.17/23.79 (~v198(constB74)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29977, 23708, 29974])).
% 35.17/23.79 tff(29979,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB74) | v198(constB74) | (~v191(constB74)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB74) | v198(constB74) | (~v191(constB74)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29980,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB74) | v198(constB74) | (~v191(constB74)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29981,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB74) | v198(constB74) | (~v191(constB74))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29980, 29979])).
% 35.17/23.79 tff(29982,plain,
% 35.17/23.79 (v194(constB74) | (~v191(constB74))),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29981, 23722, 29978])).
% 35.17/23.79 tff(29983,plain,
% 35.17/23.79 (~v191(constB74)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29982, 29966])).
% 35.17/23.79 tff(29984,plain,
% 35.17/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB74, constB75)) | v191(constB74) | (~v193(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB74, constB75)) | v191(constB74) | (~v193(constB75)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29985,plain,
% 35.17/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB74, constB75)) | v191(constB74) | (~v193(constB75)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29986,plain,
% 35.17/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB74, constB75)) | v191(constB74) | (~v193(constB75))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29985, 29984])).
% 35.17/23.79 tff(29987,plain,
% 35.17/23.79 (v191(constB74) | (~v193(constB75))),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29986, 23737, 11488])).
% 35.17/23.79 tff(29988,plain,
% 35.17/23.79 (~v193(constB75)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29987, 29983])).
% 35.17/23.79 tff(29989,plain,
% 35.17/23.79 ($false),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29988, 29891])).
% 35.17/23.79 tff(29990,plain,(~(constB75 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.79 tff(29991,assumption,(v18(constB122)), introduced(assumption)).
% 35.17/23.79 tff(29992,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB122))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29993,plain,
% 35.17/23.79 ($false),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29992, 8, 29991])).
% 35.17/23.79 tff(29994,plain,(~v18(constB122)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.79 tff(29995,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(29996,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(29997,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29996, 29995])).
% 35.17/23.79 tff(29998,plain,
% 35.17/23.79 (v22(constB122)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[29997, 21, 18240])).
% 35.17/23.79 tff(29999,plain,
% 35.17/23.79 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB122)) | (~v22(constB122)) | v18(constB122))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB122)) | (~v22(constB122)) | v18(constB122))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30000,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB122)) | (~v22(constB122)) | v18(constB122))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30001,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB122)) | (~v22(constB122)) | v18(constB122)),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30000, 29999])).
% 35.17/23.79 tff(30002,plain,
% 35.17/23.79 ((~v19(constB122)) | v18(constB122)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30001, 35, 29998])).
% 35.17/23.79 tff(30003,plain,
% 35.17/23.79 (~v19(constB122)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30002, 29994])).
% 35.17/23.79 tff(30004,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30005,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30006,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122)),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30005, 30004])).
% 35.17/23.79 tff(30007,plain,
% 35.17/23.79 (v13(constB122)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30006, 50, 30003])).
% 35.17/23.79 tff(30008,plain,
% 35.17/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30009,plain,
% 35.17/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30010,plain,
% 35.17/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121)),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30009, 30008])).
% 35.17/23.79 tff(30011,plain,
% 35.17/23.79 ((~v13(constB122)) | v9(constB121)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30010, 67, 18217])).
% 35.17/23.79 tff(30012,plain,
% 35.17/23.79 (v9(constB121)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30011, 30007])).
% 35.17/23.79 tff(30013,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v197(constB121))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB121) | (~v9(constB121)) | v197(constB121))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30014,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v197(constB121))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30015,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB121) | (~v9(constB121)) | v197(constB121)),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30014, 30013])).
% 35.17/23.79 tff(30016,plain,
% 35.17/23.79 ((~v9(constB121)) | v197(constB121)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30015, 85, 18105])).
% 35.17/23.79 tff(30017,plain,
% 35.17/23.79 (v197(constB121)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30016, 30012])).
% 35.17/23.79 tff(30018,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB121) | (~v197(constB121)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB121) | (~v197(constB121)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30019,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB121) | (~v197(constB121)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30020,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB121) | (~v197(constB121))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30019, 30018])).
% 35.17/23.79 tff(30021,plain,
% 35.17/23.79 (v196(constB121)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30020, 97, 30017])).
% 35.17/23.79 tff(30022,plain,
% 35.17/23.79 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB121)) | (~v194(constB121)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB121)) | (~v194(constB121)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30023,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB121)) | (~v194(constB121)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30024,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB121)) | (~v194(constB121))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30023, 30022])).
% 35.17/23.79 tff(30025,plain,
% 35.17/23.79 (~v194(constB121)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30024, 108, 30021])).
% 35.17/23.79 tff(30026,plain,
% 35.17/23.79 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB121)) | (~v170(constB121)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB121)) | (~v170(constB121)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30027,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB121)) | (~v170(constB121)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30028,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB121)) | (~v170(constB121))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30027, 30026])).
% 35.17/23.79 tff(30029,plain,
% 35.17/23.79 (~v170(constB121)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30028, 23647, 24479])).
% 35.17/23.79 tff(30030,plain,
% 35.17/23.79 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB121)) | v170(constB121) | (~v166(constB121)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB121)) | v170(constB121) | (~v166(constB121)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30031,plain,
% 35.17/23.79 (((~v166(constB121)) | v170(constB121) | (~v163(constB121))) <=> ((~v163(constB121)) | v170(constB121) | (~v166(constB121)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30032,plain,
% 35.17/23.79 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB121)) | v170(constB121) | (~v163(constB121)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB121)) | v170(constB121) | (~v166(constB121))))),
% 35.17/23.79 inference(monotonicity,[status(thm)],[30031])).
% 35.17/23.79 tff(30033,plain,
% 35.17/23.79 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB121)) | v170(constB121) | (~v163(constB121)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB121)) | v170(constB121) | (~v166(constB121)))),
% 35.17/23.79 inference(transitivity,[status(thm)],[30032, 30030])).
% 35.17/23.79 tff(30034,plain,
% 35.17/23.79 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB121)) | v170(constB121) | (~v163(constB121)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30035,plain,
% 35.17/23.79 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB121)) | v170(constB121) | (~v166(constB121))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30034, 30033])).
% 35.17/23.79 tff(30036,plain,
% 35.17/23.79 (~v163(constB121)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30035, 23672, 24483, 30029])).
% 35.17/23.79 tff(30037,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB121) | (~v201(constB121)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB121) | (~v201(constB121)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30038,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB121) | (~v201(constB121)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30039,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB121) | (~v201(constB121))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30038, 30037])).
% 35.17/23.79 tff(30040,plain,
% 35.17/23.79 (~v201(constB121)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30039, 23686, 30036])).
% 35.17/23.79 tff(30041,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB121) | (~v200(constB121)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB121) | (~v200(constB121)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30042,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB121) | (~v200(constB121)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30043,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB121) | (~v200(constB121))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30042, 30041])).
% 35.17/23.79 tff(30044,plain,
% 35.17/23.79 (~v200(constB121)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30043, 23697, 30040])).
% 35.17/23.79 tff(30045,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB121) | (~v198(constB121)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB121) | (~v198(constB121)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30046,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB121) | (~v198(constB121)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30047,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB121) | (~v198(constB121))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30046, 30045])).
% 35.17/23.79 tff(30048,plain,
% 35.17/23.79 (~v198(constB121)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30047, 23708, 30044])).
% 35.17/23.79 tff(30049,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB121) | v198(constB121) | (~v191(constB121)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB121) | v198(constB121) | (~v191(constB121)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30050,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB121) | v198(constB121) | (~v191(constB121)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30051,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB121) | v198(constB121) | (~v191(constB121))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30050, 30049])).
% 35.17/23.79 tff(30052,plain,
% 35.17/23.79 (v194(constB121) | (~v191(constB121))),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30051, 23722, 30048])).
% 35.17/23.79 tff(30053,plain,
% 35.17/23.79 (~v191(constB121)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30052, 30025])).
% 35.17/23.79 tff(30054,plain,
% 35.17/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB121, constB122)) | v191(constB121) | (~v193(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB121, constB122)) | v191(constB121) | (~v193(constB122)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30055,plain,
% 35.17/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB121, constB122)) | v191(constB121) | (~v193(constB122)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30056,plain,
% 35.17/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB121, constB122)) | v191(constB121) | (~v193(constB122))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30055, 30054])).
% 35.17/23.79 tff(30057,plain,
% 35.17/23.79 (v191(constB121) | (~v193(constB122))),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30056, 23737, 18217])).
% 35.17/23.79 tff(30058,plain,
% 35.17/23.79 (~v193(constB122)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30057, 30053])).
% 35.17/23.79 tff(30059,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB122) | (~v194(constB122)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB122) | (~v194(constB122)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30060,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB122) | (~v194(constB122)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30061,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB122) | (~v194(constB122))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30060, 30059])).
% 35.17/23.79 tff(30062,plain,
% 35.17/23.79 (~v194(constB122)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30061, 23749, 30058])).
% 35.17/23.79 tff(30063,plain,
% 35.17/23.79 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB122)) | (~v197(constB122)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB122)) | (~v197(constB122)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30064,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB122)) | (~v197(constB122)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30065,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB122)) | (~v197(constB122))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30064, 30063])).
% 35.17/23.79 tff(30066,plain,
% 35.17/23.79 (~v197(constB122)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30065, 23760, 18240])).
% 35.17/23.79 tff(30067,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB122) | (~v200(constB122)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB122) | (~v200(constB122)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30068,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB122) | (~v200(constB122)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30069,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB122) | (~v200(constB122))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30068, 30067])).
% 35.17/23.79 tff(30070,plain,
% 35.17/23.79 (~v200(constB122)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30069, 23771, 30066])).
% 35.17/23.79 tff(30071,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB122) | (~v198(constB122)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB122) | (~v198(constB122)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30072,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB122) | (~v198(constB122)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30073,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB122) | (~v198(constB122))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30072, 30071])).
% 35.17/23.79 tff(30074,plain,
% 35.17/23.79 (~v198(constB122)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30073, 23708, 30070])).
% 35.17/23.79 tff(30075,plain,
% 35.17/23.79 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB122) | v198(constB122) | (~v191(constB122)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB122) | v198(constB122) | (~v191(constB122)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30076,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB122) | v198(constB122) | (~v191(constB122)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30077,plain,
% 35.17/23.79 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB122) | v198(constB122) | (~v191(constB122))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30076, 30075])).
% 35.17/23.79 tff(30078,plain,
% 35.17/23.79 (v194(constB122) | (~v191(constB122))),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30077, 23722, 30074])).
% 35.17/23.79 tff(30079,plain,
% 35.17/23.79 (~v191(constB122)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30078, 30062])).
% 35.17/23.79 tff(30080,plain,
% 35.17/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB122, constB123)) | v191(constB122) | (~v193(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB122, constB123)) | v191(constB122) | (~v193(constB123)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30081,plain,
% 35.17/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB122, constB123)) | v191(constB122) | (~v193(constB123)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30082,plain,
% 35.17/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB122, constB123)) | v191(constB122) | (~v193(constB123))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30081, 30080])).
% 35.17/23.79 tff(30083,plain,
% 35.17/23.79 (v191(constB122) | (~v193(constB123))),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30082, 23737, 18315])).
% 35.17/23.79 tff(30084,plain,
% 35.17/23.79 (~v193(constB123)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30083, 30079])).
% 35.17/23.79 tff(30085,assumption,(constB123 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.79 tff(30086,plain,
% 35.17/23.79 (v193(constB123) <=> v193(sK0_VarCurr)),
% 35.17/23.79 inference(monotonicity,[status(thm)],[30085])).
% 35.17/23.79 tff(30087,plain,
% 35.17/23.79 (v193(sK0_VarCurr) <=> v193(constB123)),
% 35.17/23.79 inference(symmetry,[status(thm)],[30086])).
% 35.17/23.79 tff(30088,plain,
% 35.17/23.79 (v193(constB123)),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[24025, 30087])).
% 35.17/23.79 tff(30089,assumption,(~v193(constB123)), introduced(assumption)).
% 35.17/23.79 tff(30090,plain,
% 35.17/23.79 ($false),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30089, 30088])).
% 35.17/23.79 tff(30091,plain,((~(constB123 = sK0_VarCurr)) | v193(constB123)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.79 tff(30092,plain,
% 35.17/23.79 (~(constB123 = sK0_VarCurr)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30091, 30084])).
% 35.17/23.79 tff(30093,assumption,(constB150 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.79 tff(30094,plain,
% 35.17/23.79 (v1(constB150) <=> v1(sK0_VarCurr)),
% 35.17/23.79 inference(monotonicity,[status(thm)],[30093])).
% 35.17/23.79 tff(30095,plain,
% 35.17/23.79 (v1(sK0_VarCurr) <=> v1(constB150)),
% 35.17/23.79 inference(symmetry,[status(thm)],[30094])).
% 35.17/23.79 tff(30096,plain,
% 35.17/23.79 ((~v1(sK0_VarCurr)) <=> (~v1(constB150))),
% 35.17/23.79 inference(monotonicity,[status(thm)],[30095])).
% 35.17/23.79 tff(30097,plain,
% 35.17/23.79 (~v1(constB150)),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[29884, 30096])).
% 35.17/23.79 tff(30098,plain,
% 35.17/23.79 ($false),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[21948, 30097])).
% 35.17/23.79 tff(30099,plain,(~(constB150 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.79 tff(30100,assumption,(constB171 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.79 tff(30101,plain,
% 35.17/23.79 (v193(constB171) <=> v193(sK0_VarCurr)),
% 35.17/23.79 inference(monotonicity,[status(thm)],[30100])).
% 35.17/23.79 tff(30102,plain,
% 35.17/23.79 (v193(sK0_VarCurr) <=> v193(constB171)),
% 35.17/23.79 inference(symmetry,[status(thm)],[30101])).
% 35.17/23.79 tff(30103,plain,
% 35.17/23.79 (v193(constB171)),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[24025, 30102])).
% 35.17/23.79 tff(30104,plain,
% 35.17/23.79 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB169)) | (~v170(constB169)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB169)) | (~v170(constB169)))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30105,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB169)) | (~v170(constB169)))),
% 35.17/23.79 inference(quant_inst,[status(thm)],[])).
% 35.17/23.79 tff(30106,plain,
% 35.17/23.79 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB169)) | (~v170(constB169))),
% 35.17/23.79 inference(modus_ponens,[status(thm)],[30105, 30104])).
% 35.17/23.79 tff(30107,plain,
% 35.17/23.79 (~v170(constB169)),
% 35.17/23.79 inference(unit_resolution,[status(thm)],[30106, 23647, 26159])).
% 35.17/23.79 tff(30108,plain,
% 35.17/23.79 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB169)) | (~v166(constB169)) | v170(constB169))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB169)) | (~v166(constB169)) | v170(constB169))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30109,plain,
% 35.17/23.79 (((~v166(constB169)) | v170(constB169) | (~v163(constB169))) <=> ((~v163(constB169)) | (~v166(constB169)) | v170(constB169))),
% 35.17/23.79 inference(rewrite,[status(thm)],[])).
% 35.17/23.79 tff(30110,plain,
% 35.17/23.79 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB169)) | v170(constB169) | (~v163(constB169)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB169)) | (~v166(constB169)) | v170(constB169)))),
% 35.17/23.80 inference(monotonicity,[status(thm)],[30109])).
% 35.17/23.80 tff(30111,plain,
% 35.17/23.80 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB169)) | v170(constB169) | (~v163(constB169)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB169)) | (~v166(constB169)) | v170(constB169))),
% 35.17/23.80 inference(transitivity,[status(thm)],[30110, 30108])).
% 35.17/23.80 tff(30112,plain,
% 35.17/23.80 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB169)) | v170(constB169) | (~v163(constB169)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30113,plain,
% 35.17/23.80 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB169)) | (~v166(constB169)) | v170(constB169)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30112, 30111])).
% 35.17/23.80 tff(30114,plain,
% 35.17/23.80 (~v163(constB169)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30113, 23672, 26163, 30107])).
% 35.17/23.80 tff(30115,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB169) | (~v201(constB169)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB169) | (~v201(constB169)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30116,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB169) | (~v201(constB169)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30117,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB169) | (~v201(constB169))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30116, 30115])).
% 35.17/23.80 tff(30118,plain,
% 35.17/23.80 (~v201(constB169)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30117, 23686, 30114])).
% 35.17/23.80 tff(30119,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB169) | (~v200(constB169)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB169) | (~v200(constB169)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30120,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB169) | (~v200(constB169)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30121,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB169) | (~v200(constB169))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30120, 30119])).
% 35.17/23.80 tff(30122,plain,
% 35.17/23.80 (~v200(constB169)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30121, 23697, 30118])).
% 35.17/23.80 tff(30123,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB169) | (~v198(constB169)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB169) | (~v198(constB169)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30124,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB169) | (~v198(constB169)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30125,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB169) | (~v198(constB169))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30124, 30123])).
% 35.17/23.80 tff(30126,plain,
% 35.17/23.80 (~v198(constB169)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30125, 23708, 30122])).
% 35.17/23.80 tff(30127,assumption,(v18(constB170)), introduced(assumption)).
% 35.17/23.80 tff(30128,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB170))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30129,plain,
% 35.17/23.80 ($false),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30128, 8, 30127])).
% 35.17/23.80 tff(30130,plain,(~v18(constB170)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.80 tff(30131,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30132,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30133,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30132, 30131])).
% 35.17/23.80 tff(30134,plain,
% 35.17/23.80 (v22(constB170)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30133, 21, 26468])).
% 35.17/23.80 tff(30135,plain,
% 35.17/23.80 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB170)) | (~v22(constB170)) | v18(constB170))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB170)) | (~v22(constB170)) | v18(constB170))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30136,plain,
% 35.17/23.80 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB170)) | (~v22(constB170)) | v18(constB170))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30137,plain,
% 35.17/23.80 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB170)) | (~v22(constB170)) | v18(constB170)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30136, 30135])).
% 35.17/23.80 tff(30138,plain,
% 35.17/23.80 ((~v19(constB170)) | v18(constB170)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30137, 35, 30134])).
% 35.17/23.80 tff(30139,plain,
% 35.17/23.80 (~v19(constB170)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30138, 30130])).
% 35.17/23.80 tff(30140,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30141,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30142,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30141, 30140])).
% 35.17/23.80 tff(30143,plain,
% 35.17/23.80 (v13(constB170)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30142, 50, 30139])).
% 35.17/23.80 tff(30144,plain,
% 35.17/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30145,plain,
% 35.17/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30146,plain,
% 35.17/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30145, 30144])).
% 35.17/23.80 tff(30147,plain,
% 35.17/23.80 ((~v13(constB170)) | v9(constB169)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30146, 67, 26446])).
% 35.17/23.80 tff(30148,plain,
% 35.17/23.80 (v9(constB169)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30147, 30143])).
% 35.17/23.80 tff(30149,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v197(constB169))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB169) | (~v9(constB169)) | v197(constB169))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30150,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v197(constB169))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30151,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB169) | (~v9(constB169)) | v197(constB169)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30150, 30149])).
% 35.17/23.80 tff(30152,plain,
% 35.17/23.80 ((~v9(constB169)) | v197(constB169)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30151, 85, 26042])).
% 35.17/23.80 tff(30153,plain,
% 35.17/23.80 (v197(constB169)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30152, 30148])).
% 35.17/23.80 tff(30154,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB169) | (~v197(constB169)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB169) | (~v197(constB169)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30155,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB169) | (~v197(constB169)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30156,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB169) | (~v197(constB169))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30155, 30154])).
% 35.17/23.80 tff(30157,plain,
% 35.17/23.80 (v196(constB169)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30156, 97, 30153])).
% 35.17/23.80 tff(30158,plain,
% 35.17/23.80 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB169)) | (~v194(constB169)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB169)) | (~v194(constB169)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30159,plain,
% 35.17/23.80 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB169)) | (~v194(constB169)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30160,plain,
% 35.17/23.80 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB169)) | (~v194(constB169))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30159, 30158])).
% 35.17/23.80 tff(30161,plain,
% 35.17/23.80 (~v194(constB169)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30160, 108, 30157])).
% 35.17/23.80 tff(30162,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB169) | v198(constB169) | (~v191(constB169)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB169) | v198(constB169) | (~v191(constB169)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30163,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB169) | v198(constB169) | (~v191(constB169)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30164,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB169) | v198(constB169) | (~v191(constB169))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30163, 30162])).
% 35.17/23.80 tff(30165,plain,
% 35.17/23.80 (v198(constB169) | (~v191(constB169))),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30164, 23722, 30161])).
% 35.17/23.80 tff(30166,plain,
% 35.17/23.80 (~v191(constB169)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30165, 30126])).
% 35.17/23.80 tff(30167,plain,
% 35.17/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB169, constB170)) | v191(constB169) | (~v193(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB169, constB170)) | v191(constB169) | (~v193(constB170)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30168,plain,
% 35.17/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB169, constB170)) | v191(constB169) | (~v193(constB170)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30169,plain,
% 35.17/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB169, constB170)) | v191(constB169) | (~v193(constB170))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30168, 30167])).
% 35.17/23.80 tff(30170,plain,
% 35.17/23.80 (v191(constB169) | (~v193(constB170))),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30169, 23737, 26446])).
% 35.17/23.80 tff(30171,plain,
% 35.17/23.80 (~v193(constB170)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30170, 30166])).
% 35.17/23.80 tff(30172,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB170) | (~v194(constB170)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB170) | (~v194(constB170)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30173,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB170) | (~v194(constB170)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30174,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB170) | (~v194(constB170))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30173, 30172])).
% 35.17/23.80 tff(30175,plain,
% 35.17/23.80 (~v194(constB170)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30174, 23749, 30171])).
% 35.17/23.80 tff(30176,plain,
% 35.17/23.80 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB170)) | (~v197(constB170)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB170)) | (~v197(constB170)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30177,plain,
% 35.17/23.80 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB170)) | (~v197(constB170)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30178,plain,
% 35.17/23.80 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB170)) | (~v197(constB170))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30177, 30176])).
% 35.17/23.80 tff(30179,plain,
% 35.17/23.80 (~v197(constB170)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30178, 23760, 26468])).
% 35.17/23.80 tff(30180,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB170) | (~v200(constB170)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB170) | (~v200(constB170)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30181,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB170) | (~v200(constB170)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30182,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB170) | (~v200(constB170))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30181, 30180])).
% 35.17/23.80 tff(30183,plain,
% 35.17/23.80 (~v200(constB170)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30182, 23771, 30179])).
% 35.17/23.80 tff(30184,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB170) | (~v198(constB170)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB170) | (~v198(constB170)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30185,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB170) | (~v198(constB170)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30186,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB170) | (~v198(constB170))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30185, 30184])).
% 35.17/23.80 tff(30187,plain,
% 35.17/23.80 (~v198(constB170)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30186, 23708, 30183])).
% 35.17/23.80 tff(30188,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB170) | v198(constB170) | (~v191(constB170)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB170) | v198(constB170) | (~v191(constB170)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30189,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB170) | v198(constB170) | (~v191(constB170)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30190,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB170) | v198(constB170) | (~v191(constB170))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30189, 30188])).
% 35.17/23.80 tff(30191,plain,
% 35.17/23.80 (v194(constB170) | (~v191(constB170))),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30190, 23722, 30187])).
% 35.17/23.80 tff(30192,plain,
% 35.17/23.80 (~v191(constB170)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30191, 30175])).
% 35.17/23.80 tff(30193,plain,
% 35.17/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB170, constB171)) | v191(constB170) | (~v193(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB170, constB171)) | v191(constB170) | (~v193(constB171)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30194,plain,
% 35.17/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB170, constB171)) | v191(constB170) | (~v193(constB171)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30195,plain,
% 35.17/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB170, constB171)) | v191(constB170) | (~v193(constB171))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30194, 30193])).
% 35.17/23.80 tff(30196,plain,
% 35.17/23.80 (v191(constB170) | (~v193(constB171))),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30195, 23737, 26671])).
% 35.17/23.80 tff(30197,plain,
% 35.17/23.80 (~v193(constB171)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30196, 30192])).
% 35.17/23.80 tff(30198,plain,
% 35.17/23.80 ($false),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30197, 30103])).
% 35.17/23.80 tff(30199,plain,(~(constB171 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.80 tff(30200,assumption,(constB20 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.80 tff(30201,plain,
% 35.17/23.80 (v1(constB20) <=> v1(sK0_VarCurr)),
% 35.17/23.80 inference(monotonicity,[status(thm)],[30200])).
% 35.17/23.80 tff(30202,plain,
% 35.17/23.80 (v1(sK0_VarCurr) <=> v1(constB20)),
% 35.17/23.80 inference(symmetry,[status(thm)],[30201])).
% 35.17/23.80 tff(30203,plain,
% 35.17/23.80 ((~v1(sK0_VarCurr)) <=> (~v1(constB20))),
% 35.17/23.80 inference(monotonicity,[status(thm)],[30202])).
% 35.17/23.80 tff(30204,plain,
% 35.17/23.80 (~v1(constB20)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[29884, 30203])).
% 35.17/23.80 tff(30205,plain,
% 35.17/23.80 ($false),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[3310, 30204])).
% 35.17/23.80 tff(30206,plain,(~(constB20 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.80 tff(30207,assumption,(constB158 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.80 tff(30208,plain,
% 35.17/23.80 (v1(constB158) <=> v1(sK0_VarCurr)),
% 35.17/23.80 inference(monotonicity,[status(thm)],[30207])).
% 35.17/23.80 tff(30209,plain,
% 35.17/23.80 (v1(sK0_VarCurr) <=> v1(constB158)),
% 35.17/23.80 inference(symmetry,[status(thm)],[30208])).
% 35.17/23.80 tff(30210,plain,
% 35.17/23.80 ((~v1(sK0_VarCurr)) <=> (~v1(constB158))),
% 35.17/23.80 inference(monotonicity,[status(thm)],[30209])).
% 35.17/23.80 tff(30211,plain,
% 35.17/23.80 (~v1(constB158)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[29884, 30210])).
% 35.17/23.80 tff(30212,plain,
% 35.17/23.80 ($false),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[14, 30211])).
% 35.17/23.80 tff(30213,plain,(~(constB158 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.80 tff(30214,assumption,(constB126 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.80 tff(30215,plain,
% 35.17/23.80 (v1(constB126) <=> v1(sK0_VarCurr)),
% 35.17/23.80 inference(monotonicity,[status(thm)],[30214])).
% 35.17/23.80 tff(30216,plain,
% 35.17/23.80 (v1(sK0_VarCurr) <=> v1(constB126)),
% 35.17/23.80 inference(symmetry,[status(thm)],[30215])).
% 35.17/23.80 tff(30217,plain,
% 35.17/23.80 ((~v1(sK0_VarCurr)) <=> (~v1(constB126))),
% 35.17/23.80 inference(monotonicity,[status(thm)],[30216])).
% 35.17/23.80 tff(30218,plain,
% 35.17/23.80 (~v1(constB126)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[29884, 30217])).
% 35.17/23.80 tff(30219,plain,
% 35.17/23.80 ($false),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[18674, 30218])).
% 35.17/23.80 tff(30220,plain,(~(constB126 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.80 tff(30221,assumption,(constB195 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.80 tff(30222,plain,
% 35.17/23.80 (v193(constB195) <=> v193(sK0_VarCurr)),
% 35.17/23.80 inference(monotonicity,[status(thm)],[30221])).
% 35.17/23.80 tff(30223,plain,
% 35.17/23.80 (v193(sK0_VarCurr) <=> v193(constB195)),
% 35.17/23.80 inference(symmetry,[status(thm)],[30222])).
% 35.17/23.80 tff(30224,plain,
% 35.17/23.80 (v193(constB195)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[24025, 30223])).
% 35.17/23.80 tff(30225,plain,
% 35.17/23.80 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB193)) | (~v170(constB193)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB193)) | (~v170(constB193)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30226,plain,
% 35.17/23.80 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB193)) | (~v170(constB193)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30227,plain,
% 35.17/23.80 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB193)) | (~v170(constB193))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30226, 30225])).
% 35.17/23.80 tff(30228,plain,
% 35.17/23.80 (~v170(constB193)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30227, 23647, 29246])).
% 35.17/23.80 tff(30229,plain,
% 35.17/23.80 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB193)) | v170(constB193) | (~v166(constB193)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB193)) | v170(constB193) | (~v166(constB193)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30230,plain,
% 35.17/23.80 (((~v166(constB193)) | v170(constB193) | (~v163(constB193))) <=> ((~v163(constB193)) | v170(constB193) | (~v166(constB193)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30231,plain,
% 35.17/23.80 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB193)) | v170(constB193) | (~v163(constB193)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB193)) | v170(constB193) | (~v166(constB193))))),
% 35.17/23.80 inference(monotonicity,[status(thm)],[30230])).
% 35.17/23.80 tff(30232,plain,
% 35.17/23.80 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB193)) | v170(constB193) | (~v163(constB193)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB193)) | v170(constB193) | (~v166(constB193)))),
% 35.17/23.80 inference(transitivity,[status(thm)],[30231, 30229])).
% 35.17/23.80 tff(30233,plain,
% 35.17/23.80 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB193)) | v170(constB193) | (~v163(constB193)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30234,plain,
% 35.17/23.80 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB193)) | v170(constB193) | (~v166(constB193))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30233, 30232])).
% 35.17/23.80 tff(30235,plain,
% 35.17/23.80 (~v163(constB193)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30234, 23672, 29250, 30228])).
% 35.17/23.80 tff(30236,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB193) | (~v201(constB193)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB193) | (~v201(constB193)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30237,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB193) | (~v201(constB193)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30238,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB193) | (~v201(constB193))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30237, 30236])).
% 35.17/23.80 tff(30239,plain,
% 35.17/23.80 (~v201(constB193)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30238, 23686, 30235])).
% 35.17/23.80 tff(30240,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB193) | (~v200(constB193)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB193) | (~v200(constB193)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30241,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB193) | (~v200(constB193)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30242,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB193) | (~v200(constB193))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30241, 30240])).
% 35.17/23.80 tff(30243,plain,
% 35.17/23.80 (~v200(constB193)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30242, 23697, 30239])).
% 35.17/23.80 tff(30244,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB193) | (~v198(constB193)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB193) | (~v198(constB193)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30245,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB193) | (~v198(constB193)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30246,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB193) | (~v198(constB193))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30245, 30244])).
% 35.17/23.80 tff(30247,plain,
% 35.17/23.80 (~v198(constB193)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30246, 23708, 30243])).
% 35.17/23.80 tff(30248,assumption,(v18(constB194)), introduced(assumption)).
% 35.17/23.80 tff(30249,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB194))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30250,plain,
% 35.17/23.80 ($false),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30249, 8, 30248])).
% 35.17/23.80 tff(30251,plain,(~v18(constB194)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.80 tff(30252,plain,
% 35.17/23.80 (v1(constB194) <=> v1(constB194)),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30253,axiom,(v1(constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_194_1')).
% 35.17/23.80 tff(30254,plain,
% 35.17/23.80 (v1(constB194)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30253, 30252])).
% 35.17/23.80 tff(30255,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30256,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30257,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30256, 30255])).
% 35.17/23.80 tff(30258,plain,
% 35.17/23.80 (v22(constB194)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30257, 21, 30254])).
% 35.17/23.80 tff(30259,plain,
% 35.17/23.80 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB194)) | (~v22(constB194)) | v18(constB194))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB194)) | (~v22(constB194)) | v18(constB194))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30260,plain,
% 35.17/23.80 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB194)) | (~v22(constB194)) | v18(constB194))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30261,plain,
% 35.17/23.80 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB194)) | (~v22(constB194)) | v18(constB194)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30260, 30259])).
% 35.17/23.80 tff(30262,plain,
% 35.17/23.80 ((~v19(constB194)) | v18(constB194)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30261, 35, 30258])).
% 35.17/23.80 tff(30263,plain,
% 35.17/23.80 (~v19(constB194)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30262, 30251])).
% 35.17/23.80 tff(30264,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30265,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30266,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30265, 30264])).
% 35.17/23.80 tff(30267,plain,
% 35.17/23.80 (v13(constB194)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30266, 50, 30263])).
% 35.17/23.80 tff(30268,plain,
% 35.17/23.80 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30269,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_193_1')).
% 35.17/23.80 tff(30270,plain,
% 35.17/23.80 (nextState(constB193, constB194)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30269, 30268])).
% 35.17/23.80 tff(30271,plain,
% 35.17/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30272,plain,
% 35.17/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30273,plain,
% 35.17/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30272, 30271])).
% 35.17/23.80 tff(30274,plain,
% 35.17/23.80 ((~v13(constB194)) | v9(constB193)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30273, 67, 30270])).
% 35.17/23.80 tff(30275,plain,
% 35.17/23.80 (v9(constB193)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30274, 30267])).
% 35.17/23.80 tff(30276,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v197(constB193))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB193) | (~v9(constB193)) | v197(constB193))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30277,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v197(constB193))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30278,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB193) | (~v9(constB193)) | v197(constB193)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30277, 30276])).
% 35.17/23.80 tff(30279,plain,
% 35.17/23.80 ((~v9(constB193)) | v197(constB193)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30278, 85, 29129])).
% 35.17/23.80 tff(30280,plain,
% 35.17/23.80 (v197(constB193)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30279, 30275])).
% 35.17/23.80 tff(30281,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB193) | (~v197(constB193)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB193) | (~v197(constB193)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30282,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB193) | (~v197(constB193)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30283,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB193) | (~v197(constB193))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30282, 30281])).
% 35.17/23.80 tff(30284,plain,
% 35.17/23.80 (v196(constB193)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30283, 97, 30280])).
% 35.17/23.80 tff(30285,plain,
% 35.17/23.80 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB193)) | (~v196(constB193)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB193)) | (~v196(constB193)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30286,plain,
% 35.17/23.80 (((~v196(constB193)) | (~v194(constB193))) <=> ((~v194(constB193)) | (~v196(constB193)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30287,plain,
% 35.17/23.80 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB193)) | (~v194(constB193)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB193)) | (~v196(constB193))))),
% 35.17/23.80 inference(monotonicity,[status(thm)],[30286])).
% 35.17/23.80 tff(30288,plain,
% 35.17/23.80 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB193)) | (~v194(constB193)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB193)) | (~v196(constB193)))),
% 35.17/23.80 inference(transitivity,[status(thm)],[30287, 30285])).
% 35.17/23.80 tff(30289,plain,
% 35.17/23.80 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB193)) | (~v194(constB193)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30290,plain,
% 35.17/23.80 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB193)) | (~v196(constB193))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30289, 30288])).
% 35.17/23.80 tff(30291,plain,
% 35.17/23.80 (~v194(constB193)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30290, 108, 30284])).
% 35.17/23.80 tff(30292,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB193) | v198(constB193) | (~v191(constB193)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB193) | v198(constB193) | (~v191(constB193)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30293,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB193) | v198(constB193) | (~v191(constB193)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30294,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB193) | v198(constB193) | (~v191(constB193))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30293, 30292])).
% 35.17/23.80 tff(30295,plain,
% 35.17/23.80 (v198(constB193) | (~v191(constB193))),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30294, 23722, 30291])).
% 35.17/23.80 tff(30296,plain,
% 35.17/23.80 (~v191(constB193)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30295, 30247])).
% 35.17/23.80 tff(30297,plain,
% 35.17/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB193, constB194)) | v191(constB193) | (~v193(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB193, constB194)) | v191(constB193) | (~v193(constB194)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30298,plain,
% 35.17/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB193, constB194)) | v191(constB193) | (~v193(constB194)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30299,plain,
% 35.17/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB193, constB194)) | v191(constB193) | (~v193(constB194))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30298, 30297])).
% 35.17/23.80 tff(30300,plain,
% 35.17/23.80 (v191(constB193) | (~v193(constB194))),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30299, 23737, 30270])).
% 35.17/23.80 tff(30301,plain,
% 35.17/23.80 (~v193(constB194)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30300, 30296])).
% 35.17/23.80 tff(30302,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB194) | (~v194(constB194)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB194) | (~v194(constB194)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30303,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB194) | (~v194(constB194)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30304,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB194) | (~v194(constB194))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30303, 30302])).
% 35.17/23.80 tff(30305,plain,
% 35.17/23.80 (~v194(constB194)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30304, 23749, 30301])).
% 35.17/23.80 tff(30306,plain,
% 35.17/23.80 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB194)) | (~v197(constB194)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB194)) | (~v197(constB194)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30307,plain,
% 35.17/23.80 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB194)) | (~v197(constB194)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30308,plain,
% 35.17/23.80 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB194)) | (~v197(constB194))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30307, 30306])).
% 35.17/23.80 tff(30309,plain,
% 35.17/23.80 (~v197(constB194)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30308, 23760, 30254])).
% 35.17/23.80 tff(30310,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB194) | (~v200(constB194)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB194) | (~v200(constB194)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30311,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB194) | (~v200(constB194)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30312,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB194) | (~v200(constB194))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30311, 30310])).
% 35.17/23.80 tff(30313,plain,
% 35.17/23.80 (~v200(constB194)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30312, 23771, 30309])).
% 35.17/23.80 tff(30314,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB194) | (~v198(constB194)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB194) | (~v198(constB194)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30315,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB194) | (~v198(constB194)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30316,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB194) | (~v198(constB194))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30315, 30314])).
% 35.17/23.80 tff(30317,plain,
% 35.17/23.80 (~v198(constB194)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30316, 23708, 30313])).
% 35.17/23.80 tff(30318,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB194) | v198(constB194) | (~v191(constB194)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB194) | v198(constB194) | (~v191(constB194)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30319,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB194) | v198(constB194) | (~v191(constB194)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30320,plain,
% 35.17/23.80 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB194) | v198(constB194) | (~v191(constB194))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30319, 30318])).
% 35.17/23.80 tff(30321,plain,
% 35.17/23.80 (v194(constB194) | (~v191(constB194))),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30320, 23722, 30317])).
% 35.17/23.80 tff(30322,plain,
% 35.17/23.80 (~v191(constB194)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30321, 30305])).
% 35.17/23.80 tff(30323,plain,
% 35.17/23.80 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30324,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_194_1')).
% 35.17/23.80 tff(30325,plain,
% 35.17/23.80 (nextState(constB194, constB195)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30324, 30323])).
% 35.17/23.80 tff(30326,plain,
% 35.17/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB194, constB195)) | v191(constB194) | (~v193(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB194, constB195)) | v191(constB194) | (~v193(constB195)))),
% 35.17/23.80 inference(rewrite,[status(thm)],[])).
% 35.17/23.80 tff(30327,plain,
% 35.17/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB194, constB195)) | v191(constB194) | (~v193(constB195)))),
% 35.17/23.80 inference(quant_inst,[status(thm)],[])).
% 35.17/23.80 tff(30328,plain,
% 35.17/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB194, constB195)) | v191(constB194) | (~v193(constB195))),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[30327, 30326])).
% 35.17/23.80 tff(30329,plain,
% 35.17/23.80 (v191(constB194) | (~v193(constB195))),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30328, 23737, 30325])).
% 35.17/23.80 tff(30330,plain,
% 35.17/23.80 (~v193(constB195)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30329, 30322])).
% 35.17/23.80 tff(30331,plain,
% 35.17/23.80 ($false),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[30330, 30224])).
% 35.17/23.80 tff(30332,plain,(~(constB195 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.80 tff(30333,assumption,(constB132 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.80 tff(30334,plain,
% 35.17/23.80 (v1(constB132) <=> v1(sK0_VarCurr)),
% 35.17/23.80 inference(monotonicity,[status(thm)],[30333])).
% 35.17/23.80 tff(30335,plain,
% 35.17/23.80 (v1(sK0_VarCurr) <=> v1(constB132)),
% 35.17/23.80 inference(symmetry,[status(thm)],[30334])).
% 35.17/23.80 tff(30336,plain,
% 35.17/23.80 ((~v1(sK0_VarCurr)) <=> (~v1(constB132))),
% 35.17/23.80 inference(monotonicity,[status(thm)],[30335])).
% 35.17/23.80 tff(30337,plain,
% 35.17/23.80 (~v1(constB132)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[29884, 30336])).
% 35.17/23.80 tff(30338,plain,
% 35.17/23.80 ($false),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[19238, 30337])).
% 35.17/23.80 tff(30339,plain,(~(constB132 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.17/23.80 tff(30340,assumption,(constB143 = sK0_VarCurr), introduced(assumption)).
% 35.17/23.80 tff(30341,plain,
% 35.17/23.80 (v193(constB143) <=> v193(sK0_VarCurr)),
% 35.17/23.80 inference(monotonicity,[status(thm)],[30340])).
% 35.17/23.80 tff(30342,plain,
% 35.17/23.80 (v193(sK0_VarCurr) <=> v193(constB143)),
% 35.17/23.80 inference(symmetry,[status(thm)],[30341])).
% 35.17/23.80 tff(30343,plain,
% 35.17/23.80 (v193(constB143)),
% 35.17/23.80 inference(modus_ponens,[status(thm)],[24025, 30342])).
% 35.17/23.80 tff(30344,plain,
% 35.17/23.80 (~v127(constB137, bitIndex2)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[19785, 123])).
% 35.17/23.80 tff(30345,plain,
% 35.17/23.80 (~v129(constB138, bitIndex2)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[19793, 30344])).
% 35.17/23.80 tff(30346,plain,
% 35.17/23.80 (~v90(constB138, bitIndex2)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[19876, 30345])).
% 35.17/23.80 tff(30347,plain,
% 35.17/23.80 (~v90(constB139, bitIndex2)),
% 35.17/23.80 inference(unit_resolution,[status(thm)],[19903, 30346])).
% 35.17/23.80 tff(30348,plain,
% 35.17/23.80 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2)))),
% 35.17/23.81 inference(rewrite,[status(thm)],[])).
% 35.17/23.81 tff(30349,plain,
% 35.17/23.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2)))),
% 35.17/23.81 inference(quant_inst,[status(thm)],[])).
% 35.17/23.81 tff(30350,plain,
% 35.17/23.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2))),
% 35.17/23.81 inference(modus_ponens,[status(thm)],[30349, 30348])).
% 35.17/23.81 tff(30351,plain,
% 35.17/23.81 (~v88(constB139, bitIndex2)),
% 35.17/23.81 inference(unit_resolution,[status(thm)],[30350, 24075, 30347])).
% 35.17/23.81 tff(30352,plain,
% 35.17/23.81 (v127(constB137, bitIndex1)),
% 35.17/23.81 inference(unit_resolution,[status(thm)],[19943, 123])).
% 35.17/23.81 tff(30353,plain,
% 35.17/23.81 (v129(constB138, bitIndex1)),
% 35.17/23.81 inference(unit_resolution,[status(thm)],[19948, 30352])).
% 35.17/23.81 tff(30354,plain,
% 35.17/23.81 (v90(constB138, bitIndex1)),
% 35.17/23.81 inference(unit_resolution,[status(thm)],[19956, 30353])).
% 35.17/23.81 tff(30355,plain,
% 35.17/23.81 (v90(constB139, bitIndex1)),
% 35.17/23.81 inference(unit_resolution,[status(thm)],[19965, 30354])).
% 35.17/23.81 tff(30356,plain,
% 35.17/23.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))),
% 35.17/23.81 inference(rewrite,[status(thm)],[])).
% 35.17/23.81 tff(30357,plain,
% 35.17/23.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))),
% 35.17/23.81 inference(quant_inst,[status(thm)],[])).
% 35.17/23.81 tff(30358,plain,
% 35.17/23.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1)),
% 35.17/23.81 inference(modus_ponens,[status(thm)],[30357, 30356])).
% 35.17/23.81 tff(30359,plain,
% 35.17/23.81 (v88(constB139, bitIndex1)),
% 35.17/23.81 inference(unit_resolution,[status(thm)],[30358, 23528, 30355])).
% 35.17/23.81 tff(30360,plain,
% 35.17/23.81 (v127(constB137, bitIndex0)),
% 35.17/23.81 inference(unit_resolution,[status(thm)],[19912, 123])).
% 35.17/23.81 tff(30361,plain,
% 35.17/23.81 (v129(constB138, bitIndex0)),
% 35.17/23.81 inference(unit_resolution,[status(thm)],[19917, 30360])).
% 35.17/23.81 tff(30362,plain,
% 35.17/23.81 (v90(constB138, bitIndex0)),
% 35.17/23.81 inference(unit_resolution,[status(thm)],[19925, 30361])).
% 35.17/23.81 tff(30363,plain,
% 35.17/23.81 (v90(constB139, bitIndex0)),
% 35.17/23.81 inference(unit_resolution,[status(thm)],[19934, 30362])).
% 35.17/23.81 tff(30364,plain,
% 35.17/23.81 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)))),
% 35.17/23.81 inference(bind,[status(th)],[])).
% 35.17/23.81 tff(30365,plain,
% 35.17/23.81 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 35.17/23.81 inference(quant_intro,[status(thm)],[30364])).
% 35.17/23.81 tff(30366,plain,
% 35.17/23.81 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 35.17/23.81 inference(rewrite,[status(thm)],[])).
% 35.17/23.81 tff(30367,plain,
% 35.17/23.81 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)))),
% 35.17/23.81 inference(bind,[status(th)],[])).
% 35.17/23.81 tff(30368,plain,
% 35.17/23.81 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 35.17/23.81 inference(quant_intro,[status(thm)],[30367])).
% 35.17/23.81 tff(30369,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_1')).
% 35.17/23.81 tff(30370,plain,
% 35.17/23.81 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 35.17/23.81 inference(modus_ponens,[status(thm)],[30369, 30368])).
% 35.17/23.81 tff(30371,plain,
% 35.17/23.81 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 35.17/23.81 inference(modus_ponens,[status(thm)],[30370, 30366])).
% 35.17/23.81 tff(30372,plain,(
% 35.17/23.81 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 35.17/23.81 inference(skolemize,[status(sab)],[30371])).
% 35.17/23.81 tff(30373,plain,
% 35.17/23.81 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 35.17/23.81 inference(modus_ponens,[status(thm)],[30372, 30365])).
% 35.17/23.81 tff(30374,plain,
% 35.17/23.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0))),
% 35.17/23.81 inference(rewrite,[status(thm)],[])).
% 35.17/23.81 tff(30375,plain,
% 35.17/23.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0))),
% 35.17/23.81 inference(quant_inst,[status(thm)],[])).
% 35.17/23.81 tff(30376,plain,
% 35.17/23.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0)),
% 35.17/23.81 inference(modus_ponens,[status(thm)],[30375, 30374])).
% 35.17/23.81 tff(30377,plain,
% 35.17/23.81 (v88(constB139, bitIndex0)),
% 35.17/23.81 inference(unit_resolution,[status(thm)],[30376, 30373, 30363])).
% 35.17/23.81 tff(30378,plain,
% 35.17/23.81 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)))),
% 35.17/23.81 inference(bind,[status(th)],[])).
% 35.17/23.81 tff(30379,plain,
% 35.17/23.81 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 35.17/23.81 inference(quant_intro,[status(thm)],[30378])).
% 35.17/23.81 tff(30380,plain,
% 35.17/23.81 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 35.17/23.81 inference(rewrite,[status(thm)],[])).
% 35.17/23.81 tff(30381,plain,
% 35.17/23.81 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) <=> ((~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))), ((((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> (((~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) | v88(VarCurr, bitIndex2)))), rewrite((((~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))), ((((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))))),
% 35.17/23.81 inference(bind,[status(th)],[])).
% 35.17/23.81 tff(30382,plain,
% 35.17/23.81 (![VarCurr: $i] : (((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 35.17/23.81 inference(quant_intro,[status(thm)],[30381])).
% 35.17/23.81 tff(30383,axiom,(![VarCurr: $i] : (((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_1')).
% 35.17/23.81 tff(30384,plain,
% 35.17/23.81 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 35.17/23.81 inference(modus_ponens,[status(thm)],[30383, 30382])).
% 35.17/23.81 tff(30385,plain,
% 35.17/23.81 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 35.17/23.81 inference(modus_ponens,[status(thm)],[30384, 30380])).
% 35.17/23.81 tff(30386,plain,(
% 35.17/23.81 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 35.17/23.81 inference(skolemize,[status(sab)],[30385])).
% 35.17/23.81 tff(30387,plain,
% 35.17/23.81 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 35.17/23.81 inference(modus_ponens,[status(thm)],[30386, 30379])).
% 35.17/23.81 tff(30388,plain,
% 35.17/23.81 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB139, bitIndex0)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v141(constB139))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB139, bitIndex0)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v141(constB139))),
% 35.17/23.81 inference(rewrite,[status(thm)],[])).
% 35.17/23.81 tff(30389,plain,
% 35.17/23.81 ((v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139)) <=> ((~v88(constB139, bitIndex0)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v141(constB139))),
% 35.17/23.81 inference(rewrite,[status(thm)],[])).
% 35.17/23.81 tff(30390,plain,
% 35.17/23.81 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB139, bitIndex0)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v141(constB139)))),
% 35.17/23.81 inference(monotonicity,[status(thm)],[30389])).
% 35.17/23.81 tff(30391,plain,
% 35.17/23.81 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB139, bitIndex0)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v141(constB139))),
% 35.17/23.81 inference(transitivity,[status(thm)],[30390, 30388])).
% 35.17/23.81 tff(30392,plain,
% 35.17/23.81 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139))),
% 35.17/23.81 inference(quant_inst,[status(thm)],[])).
% 35.17/23.81 tff(30393,plain,
% 35.17/23.81 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB139, bitIndex0)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v141(constB139)),
% 35.17/23.81 inference(modus_ponens,[status(thm)],[30392, 30391])).
% 35.17/23.81 tff(30394,plain,
% 35.17/23.81 (v141(constB139)),
% 35.17/23.81 inference(unit_resolution,[status(thm)],[30393, 30387, 30377, 30359, 30351])).
% 35.17/23.81 tff(30395,plain,
% 35.17/23.81 (^[VarCurr: $i] : refl((v168(VarCurr) | (~v141(VarCurr))) <=> (v168(VarCurr) | (~v141(VarCurr))))),
% 35.17/23.81 inference(bind,[status(th)],[])).
% 35.17/23.81 tff(30396,plain,
% 35.17/23.81 (![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))),
% 35.17/23.81 inference(quant_intro,[status(thm)],[30395])).
% 35.17/23.81 tff(30397,plain,
% 35.17/23.81 (![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))),
% 35.17/23.81 inference(rewrite,[status(thm)],[])).
% 35.17/23.81 tff(30398,axiom,(![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_1_2')).
% 35.17/23.81 tff(30399,plain,
% 35.17/23.81 (![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))),
% 35.17/23.81 inference(modus_ponens,[status(thm)],[30398, 30397])).
% 35.17/23.81 tff(30400,plain,(
% 35.17/23.81 ![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))),
% 35.17/23.81 inference(skolemize,[status(sab)],[30399])).
% 35.17/23.81 tff(30401,plain,
% 35.17/23.81 (![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))),
% 35.17/23.81 inference(modus_ponens,[status(thm)],[30400, 30396])).
% 35.17/23.81 tff(30402,plain,
% 35.17/23.81 (((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB139) | (~v141(constB139)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB139) | (~v141(constB139)))),
% 35.17/23.81 inference(rewrite,[status(thm)],[])).
% 35.17/23.81 tff(30403,plain,
% 35.17/23.81 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB139) | (~v141(constB139)))),
% 35.21/23.81 inference(quant_inst,[status(thm)],[])).
% 35.21/23.81 tff(30404,plain,
% 35.21/23.81 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB139) | (~v141(constB139))),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30403, 30402])).
% 35.21/23.81 tff(30405,plain,
% 35.21/23.81 (v168(constB139)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30404, 30401, 30394])).
% 35.21/23.81 tff(30406,plain,
% 35.21/23.81 (^[VarCurr: $i] : refl((v167(VarCurr) | (~v168(VarCurr))) <=> (v167(VarCurr) | (~v168(VarCurr))))),
% 35.21/23.81 inference(bind,[status(th)],[])).
% 35.21/23.81 tff(30407,plain,
% 35.21/23.81 (![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))),
% 35.21/23.81 inference(quant_intro,[status(thm)],[30406])).
% 35.21/23.81 tff(30408,plain,
% 35.21/23.81 (![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30409,axiom,(![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_1')).
% 35.21/23.81 tff(30410,plain,
% 35.21/23.81 (![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30409, 30408])).
% 35.21/23.81 tff(30411,plain,(
% 35.21/23.81 ![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))),
% 35.21/23.81 inference(skolemize,[status(sab)],[30410])).
% 35.21/23.81 tff(30412,plain,
% 35.21/23.81 (![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30411, 30407])).
% 35.21/23.81 tff(30413,plain,
% 35.21/23.81 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB139) | (~v168(constB139)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB139) | (~v168(constB139)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30414,plain,
% 35.21/23.81 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB139) | (~v168(constB139)))),
% 35.21/23.81 inference(quant_inst,[status(thm)],[])).
% 35.21/23.81 tff(30415,plain,
% 35.21/23.81 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB139) | (~v168(constB139))),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30414, 30413])).
% 35.21/23.81 tff(30416,plain,
% 35.21/23.81 (v167(constB139)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30415, 30412, 30405])).
% 35.21/23.81 tff(30417,plain,
% 35.21/23.81 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB139)) | (~v170(constB139)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB139)) | (~v170(constB139)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30418,plain,
% 35.21/23.81 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB139)) | (~v170(constB139)))),
% 35.21/23.81 inference(quant_inst,[status(thm)],[])).
% 35.21/23.81 tff(30419,plain,
% 35.21/23.81 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB139)) | (~v170(constB139))),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30418, 30417])).
% 35.21/23.81 tff(30420,plain,
% 35.21/23.81 (~v170(constB139)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30419, 23647, 30416])).
% 35.21/23.81 tff(30421,plain,
% 35.21/23.81 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB139) | (~v167(constB139)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB139) | (~v167(constB139)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30422,plain,
% 35.21/23.81 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB139) | (~v167(constB139)))),
% 35.21/23.81 inference(quant_inst,[status(thm)],[])).
% 35.21/23.81 tff(30423,plain,
% 35.21/23.81 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB139) | (~v167(constB139))),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30422, 30421])).
% 35.21/23.81 tff(30424,plain,
% 35.21/23.81 (v166(constB139)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30423, 23658, 30416])).
% 35.21/23.81 tff(30425,plain,
% 35.21/23.81 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB139)) | (~v166(constB139)) | v170(constB139))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB139)) | (~v166(constB139)) | v170(constB139))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30426,plain,
% 35.21/23.81 (((~v166(constB139)) | v170(constB139) | (~v163(constB139))) <=> ((~v163(constB139)) | (~v166(constB139)) | v170(constB139))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30427,plain,
% 35.21/23.81 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB139)) | v170(constB139) | (~v163(constB139)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB139)) | (~v166(constB139)) | v170(constB139)))),
% 35.21/23.81 inference(monotonicity,[status(thm)],[30426])).
% 35.21/23.81 tff(30428,plain,
% 35.21/23.81 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB139)) | v170(constB139) | (~v163(constB139)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB139)) | (~v166(constB139)) | v170(constB139))),
% 35.21/23.81 inference(transitivity,[status(thm)],[30427, 30425])).
% 35.21/23.81 tff(30429,plain,
% 35.21/23.81 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB139)) | v170(constB139) | (~v163(constB139)))),
% 35.21/23.81 inference(quant_inst,[status(thm)],[])).
% 35.21/23.81 tff(30430,plain,
% 35.21/23.81 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB139)) | (~v166(constB139)) | v170(constB139)),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30429, 30428])).
% 35.21/23.81 tff(30431,plain,
% 35.21/23.81 (~v163(constB139)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30430, 23672, 30424, 30420])).
% 35.21/23.81 tff(30432,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30433,plain,
% 35.21/23.81 (((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140))) <=> (v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30434,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140))))),
% 35.21/23.81 inference(monotonicity,[status(thm)],[30433])).
% 35.21/23.81 tff(30435,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))),
% 35.21/23.81 inference(transitivity,[status(thm)],[30434, 30432])).
% 35.21/23.81 tff(30436,plain,
% 35.21/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140)))),
% 35.21/23.81 inference(quant_inst,[status(thm)],[])).
% 35.21/23.81 tff(30437,plain,
% 35.21/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140))),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30436, 30435])).
% 35.21/23.81 tff(30438,plain,
% 35.21/23.81 (v163(constB139) | (~v186(constB140))),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30437, 23806, 20009])).
% 35.21/23.81 tff(30439,plain,
% 35.21/23.81 (~v186(constB140)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30438, 30431])).
% 35.21/23.81 tff(30440,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30441,plain,
% 35.21/23.81 (((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140)) <=> ((~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30442,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v181(constB140) | v104(constB140)))),
% 35.21/23.81 inference(monotonicity,[status(thm)],[30441])).
% 35.21/23.81 tff(30443,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))),
% 35.21/23.81 inference(transitivity,[status(thm)],[30442, 30440])).
% 35.21/23.81 tff(30444,plain,
% 35.21/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140))),
% 35.21/23.81 inference(quant_inst,[status(thm)],[])).
% 35.21/23.81 tff(30445,plain,
% 35.21/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB139, constB140)) | v181(constB140) | v104(constB140)),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30444, 30443])).
% 35.21/23.81 tff(30446,plain,
% 35.21/23.81 (v181(constB140) | v104(constB140)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30445, 23828, 20009])).
% 35.21/23.81 tff(30447,plain,
% 35.21/23.81 (v181(constB140)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30446, 20021])).
% 35.21/23.81 tff(30448,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30449,plain,
% 35.21/23.81 (((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140))) <=> ((~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30450,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140))))),
% 35.21/23.81 inference(monotonicity,[status(thm)],[30449])).
% 35.21/23.81 tff(30451,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))),
% 35.21/23.81 inference(transitivity,[status(thm)],[30450, 30448])).
% 35.21/23.81 tff(30452,plain,
% 35.21/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140)))),
% 35.21/23.81 inference(quant_inst,[status(thm)],[])).
% 35.21/23.81 tff(30453,plain,
% 35.21/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140))),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30452, 30451])).
% 35.21/23.81 tff(30454,plain,
% 35.21/23.81 (v180(constB140) | (~v181(constB140))),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30453, 23846, 20009, 20032])).
% 35.21/23.81 tff(30455,plain,
% 35.21/23.81 (v180(constB140)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30454, 30447])).
% 35.21/23.81 tff(30456,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30457,plain,
% 35.21/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140)))),
% 35.21/23.81 inference(quant_inst,[status(thm)],[])).
% 35.21/23.81 tff(30458,plain,
% 35.21/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140))),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30457, 30456])).
% 35.21/23.81 tff(30459,plain,
% 35.21/23.81 (v179(constB140) | (~v180(constB140))),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30458, 23864, 20009])).
% 35.21/23.81 tff(30460,plain,
% 35.21/23.81 (v179(constB140)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30459, 30455])).
% 35.21/23.81 tff(30461,plain,
% 35.21/23.81 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB140)) | v186(constB140) | (~v179(constB140)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB140)) | v186(constB140) | (~v179(constB140)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30462,plain,
% 35.21/23.81 (((~v179(constB140)) | (~v159(constB140)) | v186(constB140)) <=> ((~v159(constB140)) | v186(constB140) | (~v179(constB140)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30463,plain,
% 35.21/23.81 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB140)) | (~v159(constB140)) | v186(constB140))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB140)) | v186(constB140) | (~v179(constB140))))),
% 35.21/23.81 inference(monotonicity,[status(thm)],[30462])).
% 35.21/23.81 tff(30464,plain,
% 35.21/23.81 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB140)) | (~v159(constB140)) | v186(constB140))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB140)) | v186(constB140) | (~v179(constB140)))),
% 35.21/23.81 inference(transitivity,[status(thm)],[30463, 30461])).
% 35.21/23.81 tff(30465,plain,
% 35.21/23.81 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB140)) | (~v159(constB140)) | v186(constB140))),
% 35.21/23.81 inference(quant_inst,[status(thm)],[])).
% 35.21/23.81 tff(30466,plain,
% 35.21/23.81 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB140)) | v186(constB140) | (~v179(constB140))),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30465, 30464])).
% 35.21/23.81 tff(30467,plain,
% 35.21/23.81 ((~v159(constB140)) | v186(constB140)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30466, 23879, 30460])).
% 35.21/23.81 tff(30468,plain,
% 35.21/23.81 (~v159(constB140)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30467, 30439])).
% 35.21/23.81 tff(30469,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30470,plain,
% 35.21/23.81 (((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141))) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30471,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141))))),
% 35.21/23.81 inference(monotonicity,[status(thm)],[30470])).
% 35.21/23.81 tff(30472,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))),
% 35.21/23.81 inference(transitivity,[status(thm)],[30471, 30469])).
% 35.21/23.81 tff(30473,plain,
% 35.21/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141)))),
% 35.21/23.81 inference(quant_inst,[status(thm)],[])).
% 35.21/23.81 tff(30474,plain,
% 35.21/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141))),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30473, 30472])).
% 35.21/23.81 tff(30475,plain,
% 35.21/23.81 (~v180(constB141)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30474, 23900, 20077, 20074])).
% 35.21/23.81 tff(30476,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30477,plain,
% 35.21/23.81 (((~nextState(constB140, constB141)) | (~v179(constB141)) | v180(constB141)) <=> ((~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30478,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB140, constB141)) | (~v179(constB141)) | v180(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141))))),
% 35.21/23.81 inference(monotonicity,[status(thm)],[30477])).
% 35.21/23.81 tff(30479,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB140, constB141)) | (~v179(constB141)) | v180(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141)))),
% 35.21/23.81 inference(transitivity,[status(thm)],[30478, 30476])).
% 35.21/23.81 tff(30480,plain,
% 35.21/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB140, constB141)) | (~v179(constB141)) | v180(constB141))),
% 35.21/23.81 inference(quant_inst,[status(thm)],[])).
% 35.21/23.81 tff(30481,plain,
% 35.21/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141))),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30480, 30479])).
% 35.21/23.81 tff(30482,plain,
% 35.21/23.81 (v180(constB141) | (~v179(constB141))),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30481, 23917, 20077])).
% 35.21/23.81 tff(30483,plain,
% 35.21/23.81 (~v179(constB141)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30482, 30475])).
% 35.21/23.81 tff(30484,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30485,plain,
% 35.21/23.81 (((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141))) <=> (v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30486,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141))))),
% 35.21/23.81 inference(monotonicity,[status(thm)],[30485])).
% 35.21/23.81 tff(30487,plain,
% 35.21/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))),
% 35.21/23.81 inference(transitivity,[status(thm)],[30486, 30484])).
% 35.21/23.81 tff(30488,plain,
% 35.21/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141)))),
% 35.21/23.81 inference(quant_inst,[status(thm)],[])).
% 35.21/23.81 tff(30489,plain,
% 35.21/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141))),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30488, 30487])).
% 35.21/23.81 tff(30490,plain,
% 35.21/23.81 (v159(constB140) | v179(constB141) | (~v159(constB141))),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30489, 23935, 20077])).
% 35.21/23.81 tff(30491,plain,
% 35.21/23.81 (v159(constB140) | (~v159(constB141))),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30490, 30483])).
% 35.21/23.81 tff(30492,plain,
% 35.21/23.81 (~v159(constB141)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30491, 30468])).
% 35.21/23.81 tff(30493,plain,
% 35.21/23.81 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB141) | (~v201(constB141)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB141) | (~v201(constB141)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30494,plain,
% 35.21/23.81 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB141) | (~v201(constB141)))),
% 35.21/23.81 inference(quant_inst,[status(thm)],[])).
% 35.21/23.81 tff(30495,plain,
% 35.21/23.81 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB141) | (~v201(constB141))),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30494, 30493])).
% 35.21/23.81 tff(30496,plain,
% 35.21/23.81 (~v201(constB141)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30495, 23951, 30492])).
% 35.21/23.81 tff(30497,plain,
% 35.21/23.81 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB141) | (~v200(constB141)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB141) | (~v200(constB141)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30498,plain,
% 35.21/23.81 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB141) | (~v200(constB141)))),
% 35.21/23.81 inference(quant_inst,[status(thm)],[])).
% 35.21/23.81 tff(30499,plain,
% 35.21/23.81 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB141) | (~v200(constB141))),
% 35.21/23.81 inference(modus_ponens,[status(thm)],[30498, 30497])).
% 35.21/23.81 tff(30500,plain,
% 35.21/23.81 (~v200(constB141)),
% 35.21/23.81 inference(unit_resolution,[status(thm)],[30499, 23697, 30496])).
% 35.21/23.81 tff(30501,plain,
% 35.21/23.81 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB141) | (~v198(constB141)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB141) | (~v198(constB141)))),
% 35.21/23.81 inference(rewrite,[status(thm)],[])).
% 35.21/23.81 tff(30502,plain,
% 35.21/23.81 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB141) | (~v198(constB141)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30503,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB141) | (~v198(constB141))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30502, 30501])).
% 35.21/23.82 tff(30504,plain,
% 35.21/23.82 (~v198(constB141)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30503, 23708, 30500])).
% 35.21/23.82 tff(30505,assumption,(v18(constB142)), introduced(assumption)).
% 35.21/23.82 tff(30506,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB142))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30507,plain,
% 35.21/23.82 ($false),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30506, 8, 30505])).
% 35.21/23.82 tff(30508,plain,(~v18(constB142)), inference(lemma,lemma(discharge,[]))).
% 35.21/23.82 tff(30509,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30510,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30511,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30510, 30509])).
% 35.21/23.82 tff(30512,plain,
% 35.21/23.82 (v22(constB142)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30511, 21, 20224])).
% 35.21/23.82 tff(30513,plain,
% 35.21/23.82 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB142)) | (~v22(constB142)) | v18(constB142))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB142)) | (~v22(constB142)) | v18(constB142))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30514,plain,
% 35.21/23.82 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB142)) | (~v22(constB142)) | v18(constB142))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30515,plain,
% 35.21/23.82 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB142)) | (~v22(constB142)) | v18(constB142)),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30514, 30513])).
% 35.21/23.82 tff(30516,plain,
% 35.21/23.82 ((~v19(constB142)) | v18(constB142)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30515, 35, 30512])).
% 35.21/23.82 tff(30517,plain,
% 35.21/23.82 (~v19(constB142)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30516, 30508])).
% 35.21/23.82 tff(30518,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30519,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30520,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142)),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30519, 30518])).
% 35.21/23.82 tff(30521,plain,
% 35.21/23.82 (v13(constB142)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30520, 50, 30517])).
% 35.21/23.82 tff(30522,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30523,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30524,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141)),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30523, 30522])).
% 35.21/23.82 tff(30525,plain,
% 35.21/23.82 ((~v13(constB142)) | v9(constB141)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30524, 67, 20201])).
% 35.21/23.82 tff(30526,plain,
% 35.21/23.82 (v9(constB141)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30525, 30521])).
% 35.21/23.82 tff(30527,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v197(constB141))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB141) | (~v9(constB141)) | v197(constB141))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30528,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v197(constB141))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30529,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB141) | (~v9(constB141)) | v197(constB141)),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30528, 30527])).
% 35.21/23.82 tff(30530,plain,
% 35.21/23.82 ((~v9(constB141)) | v197(constB141)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30529, 85, 20074])).
% 35.21/23.82 tff(30531,plain,
% 35.21/23.82 (v197(constB141)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30530, 30526])).
% 35.21/23.82 tff(30532,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB141) | (~v197(constB141)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB141) | (~v197(constB141)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30533,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB141) | (~v197(constB141)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30534,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB141) | (~v197(constB141))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30533, 30532])).
% 35.21/23.82 tff(30535,plain,
% 35.21/23.82 (v196(constB141)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30534, 97, 30531])).
% 35.21/23.82 tff(30536,plain,
% 35.21/23.82 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB141)) | (~v194(constB141)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB141)) | (~v194(constB141)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30537,plain,
% 35.21/23.82 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB141)) | (~v194(constB141)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30538,plain,
% 35.21/23.82 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB141)) | (~v194(constB141))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30537, 30536])).
% 35.21/23.82 tff(30539,plain,
% 35.21/23.82 (~v194(constB141)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30538, 108, 30535])).
% 35.21/23.82 tff(30540,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB141) | v198(constB141) | (~v191(constB141)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB141) | v198(constB141) | (~v191(constB141)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30541,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB141) | v198(constB141) | (~v191(constB141)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30542,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB141) | v198(constB141) | (~v191(constB141))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30541, 30540])).
% 35.21/23.82 tff(30543,plain,
% 35.21/23.82 (v198(constB141) | (~v191(constB141))),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30542, 23722, 30539])).
% 35.21/23.82 tff(30544,plain,
% 35.21/23.82 (~v191(constB141)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30543, 30504])).
% 35.21/23.82 tff(30545,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30546,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30547,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30546, 30545])).
% 35.21/23.82 tff(30548,plain,
% 35.21/23.82 (v191(constB141) | (~v193(constB142))),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30547, 23737, 20201])).
% 35.21/23.82 tff(30549,plain,
% 35.21/23.82 (~v193(constB142)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30548, 30544])).
% 35.21/23.82 tff(30550,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB142) | (~v194(constB142)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB142) | (~v194(constB142)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30551,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB142) | (~v194(constB142)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30552,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB142) | (~v194(constB142))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30551, 30550])).
% 35.21/23.82 tff(30553,plain,
% 35.21/23.82 (~v194(constB142)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30552, 23749, 30549])).
% 35.21/23.82 tff(30554,plain,
% 35.21/23.82 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB142)) | (~v197(constB142)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB142)) | (~v197(constB142)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30555,plain,
% 35.21/23.82 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB142)) | (~v197(constB142)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30556,plain,
% 35.21/23.82 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB142)) | (~v197(constB142))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30555, 30554])).
% 35.21/23.82 tff(30557,plain,
% 35.21/23.82 (~v197(constB142)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30556, 23760, 20224])).
% 35.21/23.82 tff(30558,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB142) | (~v200(constB142)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB142) | (~v200(constB142)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30559,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB142) | (~v200(constB142)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30560,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB142) | (~v200(constB142))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30559, 30558])).
% 35.21/23.82 tff(30561,plain,
% 35.21/23.82 (~v200(constB142)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30560, 23771, 30557])).
% 35.21/23.82 tff(30562,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB142) | (~v198(constB142)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB142) | (~v198(constB142)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30563,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB142) | (~v198(constB142)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30564,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB142) | (~v198(constB142))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30563, 30562])).
% 35.21/23.82 tff(30565,plain,
% 35.21/23.82 (~v198(constB142)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30564, 23708, 30561])).
% 35.21/23.82 tff(30566,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB142) | v198(constB142) | (~v191(constB142)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB142) | v198(constB142) | (~v191(constB142)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30567,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB142) | v198(constB142) | (~v191(constB142)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30568,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB142) | v198(constB142) | (~v191(constB142))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30567, 30566])).
% 35.21/23.82 tff(30569,plain,
% 35.21/23.82 (v194(constB142) | (~v191(constB142))),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30568, 23722, 30565])).
% 35.21/23.82 tff(30570,plain,
% 35.21/23.82 (~v191(constB142)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30569, 30553])).
% 35.21/23.82 tff(30571,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30572,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30573,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30572, 30571])).
% 35.21/23.82 tff(30574,plain,
% 35.21/23.82 (v191(constB142) | (~v193(constB143))),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30573, 23737, 20269])).
% 35.21/23.82 tff(30575,plain,
% 35.21/23.82 (~v193(constB143)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30574, 30570])).
% 35.21/23.82 tff(30576,plain,
% 35.21/23.82 ($false),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30575, 30343])).
% 35.21/23.82 tff(30577,plain,(~(constB143 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.21/23.82 tff(30578,assumption,(constB12 = sK0_VarCurr), introduced(assumption)).
% 35.21/23.82 tff(30579,plain,
% 35.21/23.82 (v1(constB12) <=> v1(sK0_VarCurr)),
% 35.21/23.82 inference(monotonicity,[status(thm)],[30578])).
% 35.21/23.82 tff(30580,plain,
% 35.21/23.82 (v1(sK0_VarCurr) <=> v1(constB12)),
% 35.21/23.82 inference(symmetry,[status(thm)],[30579])).
% 35.21/23.82 tff(30581,plain,
% 35.21/23.82 ((~v1(sK0_VarCurr)) <=> (~v1(constB12))),
% 35.21/23.82 inference(monotonicity,[status(thm)],[30580])).
% 35.21/23.82 tff(30582,plain,
% 35.21/23.82 (~v1(constB12)),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[29884, 30581])).
% 35.21/23.82 tff(30583,plain,
% 35.21/23.82 ($false),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[2048, 30582])).
% 35.21/23.82 tff(30584,plain,(~(constB12 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.21/23.82 tff(30585,assumption,(constB47 = sK0_VarCurr), introduced(assumption)).
% 35.21/23.82 tff(30586,plain,
% 35.21/23.82 (v193(constB47) <=> v193(sK0_VarCurr)),
% 35.21/23.82 inference(monotonicity,[status(thm)],[30585])).
% 35.21/23.82 tff(30587,plain,
% 35.21/23.82 (v193(sK0_VarCurr) <=> v193(constB47)),
% 35.21/23.82 inference(symmetry,[status(thm)],[30586])).
% 35.21/23.82 tff(30588,plain,
% 35.21/23.82 (v193(constB47)),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[24025, 30587])).
% 35.21/23.82 tff(30589,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB43, bitIndex2) | (~v88(constB43, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB43, bitIndex2) | (~v88(constB43, bitIndex2)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30590,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB43, bitIndex2) | (~v88(constB43, bitIndex2)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30591,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB43, bitIndex2) | (~v88(constB43, bitIndex2))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30590, 30589])).
% 35.21/23.82 tff(30592,plain,
% 35.21/23.82 (~v88(constB43, bitIndex2)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30591, 24075, 7860])).
% 35.21/23.82 tff(30593,plain,
% 35.21/23.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB43, bitIndex1)) | v88(constB43, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB43, bitIndex1)) | v88(constB43, bitIndex1))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30594,plain,
% 35.21/23.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB43, bitIndex1)) | v88(constB43, bitIndex1))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30595,plain,
% 35.21/23.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB43, bitIndex1)) | v88(constB43, bitIndex1)),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30594, 30593])).
% 35.21/23.82 tff(30596,plain,
% 35.21/23.82 (v88(constB43, bitIndex1)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30595, 23528, 7891])).
% 35.21/23.82 tff(30597,plain,
% 35.21/23.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB43, bitIndex0)) | v88(constB43, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB43, bitIndex0)) | v88(constB43, bitIndex0))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30598,plain,
% 35.21/23.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB43, bitIndex0)) | v88(constB43, bitIndex0))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30599,plain,
% 35.21/23.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB43, bitIndex0)) | v88(constB43, bitIndex0)),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30598, 30597])).
% 35.21/23.82 tff(30600,plain,
% 35.21/23.82 (v88(constB43, bitIndex0)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30599, 30373, 7922])).
% 35.21/23.82 tff(30601,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)) | v141(constB43))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)) | v141(constB43))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30602,plain,
% 35.21/23.82 ((v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)) | v141(constB43)) <=> ((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)) | v141(constB43))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30603,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)) | v141(constB43))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)) | v141(constB43)))),
% 35.21/23.82 inference(monotonicity,[status(thm)],[30602])).
% 35.21/23.82 tff(30604,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)) | v141(constB43))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)) | v141(constB43))),
% 35.21/23.82 inference(transitivity,[status(thm)],[30603, 30601])).
% 35.21/23.82 tff(30605,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)) | v141(constB43))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30606,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)) | v141(constB43)),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30605, 30604])).
% 35.21/23.82 tff(30607,plain,
% 35.21/23.82 (v141(constB43)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30606, 30387, 30600, 30596, 30592])).
% 35.21/23.82 tff(30608,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB43) | (~v141(constB43)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB43) | (~v141(constB43)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30609,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB43) | (~v141(constB43)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30610,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB43) | (~v141(constB43))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30609, 30608])).
% 35.21/23.82 tff(30611,plain,
% 35.21/23.82 (v168(constB43)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30610, 30401, 30607])).
% 35.21/23.82 tff(30612,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB43) | (~v168(constB43)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB43) | (~v168(constB43)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30613,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB43) | (~v168(constB43)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30614,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB43) | (~v168(constB43))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30613, 30612])).
% 35.21/23.82 tff(30615,plain,
% 35.21/23.82 (v167(constB43)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30614, 30412, 30611])).
% 35.21/23.82 tff(30616,plain,
% 35.21/23.82 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB43)) | (~v170(constB43)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB43)) | (~v170(constB43)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30617,plain,
% 35.21/23.82 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB43)) | (~v170(constB43)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30618,plain,
% 35.21/23.82 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB43)) | (~v170(constB43))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30617, 30616])).
% 35.21/23.82 tff(30619,plain,
% 35.21/23.82 (~v170(constB43)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30618, 23647, 30615])).
% 35.21/23.82 tff(30620,plain,
% 35.21/23.82 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB43) | (~v167(constB43)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB43) | (~v167(constB43)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30621,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB43) | (~v167(constB43)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30622,plain,
% 35.21/23.82 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB43) | (~v167(constB43))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30621, 30620])).
% 35.21/23.82 tff(30623,plain,
% 35.21/23.82 (v166(constB43)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30622, 23658, 30615])).
% 35.21/23.82 tff(30624,plain,
% 35.21/23.82 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB43)) | (~v166(constB43)) | v170(constB43))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB43)) | (~v166(constB43)) | v170(constB43))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30625,plain,
% 35.21/23.82 (((~v166(constB43)) | v170(constB43) | (~v163(constB43))) <=> ((~v163(constB43)) | (~v166(constB43)) | v170(constB43))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30626,plain,
% 35.21/23.82 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB43)) | v170(constB43) | (~v163(constB43)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB43)) | (~v166(constB43)) | v170(constB43)))),
% 35.21/23.82 inference(monotonicity,[status(thm)],[30625])).
% 35.21/23.82 tff(30627,plain,
% 35.21/23.82 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB43)) | v170(constB43) | (~v163(constB43)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB43)) | (~v166(constB43)) | v170(constB43))),
% 35.21/23.82 inference(transitivity,[status(thm)],[30626, 30624])).
% 35.21/23.82 tff(30628,plain,
% 35.21/23.82 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB43)) | v170(constB43) | (~v163(constB43)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30629,plain,
% 35.21/23.82 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB43)) | (~v166(constB43)) | v170(constB43)),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30628, 30627])).
% 35.21/23.82 tff(30630,plain,
% 35.21/23.82 (~v163(constB43)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30629, 23672, 30623, 30619])).
% 35.21/23.82 tff(30631,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB43) | (~nextState(constB43, constB44)) | (~v186(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB43) | (~nextState(constB43, constB44)) | (~v186(constB44)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30632,plain,
% 35.21/23.82 (((~nextState(constB43, constB44)) | v163(constB43) | (~v186(constB44))) <=> (v163(constB43) | (~nextState(constB43, constB44)) | (~v186(constB44)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30633,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB43, constB44)) | v163(constB43) | (~v186(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB43) | (~nextState(constB43, constB44)) | (~v186(constB44))))),
% 35.21/23.82 inference(monotonicity,[status(thm)],[30632])).
% 35.21/23.82 tff(30634,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB43, constB44)) | v163(constB43) | (~v186(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB43) | (~nextState(constB43, constB44)) | (~v186(constB44)))),
% 35.21/23.82 inference(transitivity,[status(thm)],[30633, 30631])).
% 35.21/23.82 tff(30635,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB43, constB44)) | v163(constB43) | (~v186(constB44)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30636,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB43) | (~nextState(constB43, constB44)) | (~v186(constB44))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30635, 30634])).
% 35.21/23.82 tff(30637,plain,
% 35.21/23.82 (v163(constB43) | (~v186(constB44))),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30636, 23806, 7958])).
% 35.21/23.82 tff(30638,plain,
% 35.21/23.82 (~v186(constB44)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30637, 30630])).
% 35.21/23.82 tff(30639,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB43, constB44)) | v181(constB44) | v104(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB43, constB44)) | v181(constB44) | v104(constB44))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30640,plain,
% 35.21/23.82 (((~nextState(constB43, constB44)) | v104(constB44) | v181(constB44)) <=> ((~nextState(constB43, constB44)) | v181(constB44) | v104(constB44))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30641,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | v181(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB43, constB44)) | v181(constB44) | v104(constB44)))),
% 35.21/23.82 inference(monotonicity,[status(thm)],[30640])).
% 35.21/23.82 tff(30642,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | v181(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB43, constB44)) | v181(constB44) | v104(constB44))),
% 35.21/23.82 inference(transitivity,[status(thm)],[30641, 30639])).
% 35.21/23.82 tff(30643,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | v181(constB44))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30644,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB43, constB44)) | v181(constB44) | v104(constB44)),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30643, 30642])).
% 35.21/23.82 tff(30645,plain,
% 35.21/23.82 (v181(constB44) | v104(constB44)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30644, 23828, 7958])).
% 35.21/23.82 tff(30646,plain,
% 35.21/23.82 (v181(constB44)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30645, 7970])).
% 35.21/23.82 tff(30647,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB43, constB44)) | v180(constB44) | (~v1(constB44)) | (~v181(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB43, constB44)) | v180(constB44) | (~v1(constB44)) | (~v181(constB44)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30648,plain,
% 35.21/23.82 (((~nextState(constB43, constB44)) | (~v1(constB44)) | v180(constB44) | (~v181(constB44))) <=> ((~nextState(constB43, constB44)) | v180(constB44) | (~v1(constB44)) | (~v181(constB44)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30649,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB43, constB44)) | (~v1(constB44)) | v180(constB44) | (~v181(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB43, constB44)) | v180(constB44) | (~v1(constB44)) | (~v181(constB44))))),
% 35.21/23.82 inference(monotonicity,[status(thm)],[30648])).
% 35.21/23.82 tff(30650,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB43, constB44)) | (~v1(constB44)) | v180(constB44) | (~v181(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB43, constB44)) | v180(constB44) | (~v1(constB44)) | (~v181(constB44)))),
% 35.21/23.82 inference(transitivity,[status(thm)],[30649, 30647])).
% 35.21/23.82 tff(30651,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB43, constB44)) | (~v1(constB44)) | v180(constB44) | (~v181(constB44)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30652,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB43, constB44)) | v180(constB44) | (~v1(constB44)) | (~v181(constB44))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30651, 30650])).
% 35.21/23.82 tff(30653,plain,
% 35.21/23.82 (v180(constB44) | (~v181(constB44))),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30652, 23846, 7958, 7981])).
% 35.21/23.82 tff(30654,plain,
% 35.21/23.82 (v180(constB44)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30653, 30646])).
% 35.21/23.82 tff(30655,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB43, constB44)) | v179(constB44) | (~v180(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB43, constB44)) | v179(constB44) | (~v180(constB44)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30656,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB43, constB44)) | v179(constB44) | (~v180(constB44)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30657,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB43, constB44)) | v179(constB44) | (~v180(constB44))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30656, 30655])).
% 35.21/23.82 tff(30658,plain,
% 35.21/23.82 (v179(constB44) | (~v180(constB44))),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30657, 23864, 7958])).
% 35.21/23.82 tff(30659,plain,
% 35.21/23.82 (v179(constB44)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30658, 30654])).
% 35.21/23.82 tff(30660,plain,
% 35.21/23.82 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB44)) | v186(constB44) | (~v179(constB44)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB44)) | v186(constB44) | (~v179(constB44)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30661,plain,
% 35.21/23.82 (((~v179(constB44)) | (~v159(constB44)) | v186(constB44)) <=> ((~v159(constB44)) | v186(constB44) | (~v179(constB44)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30662,plain,
% 35.21/23.82 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB44)) | (~v159(constB44)) | v186(constB44))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB44)) | v186(constB44) | (~v179(constB44))))),
% 35.21/23.82 inference(monotonicity,[status(thm)],[30661])).
% 35.21/23.82 tff(30663,plain,
% 35.21/23.82 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB44)) | (~v159(constB44)) | v186(constB44))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB44)) | v186(constB44) | (~v179(constB44)))),
% 35.21/23.82 inference(transitivity,[status(thm)],[30662, 30660])).
% 35.21/23.82 tff(30664,plain,
% 35.21/23.82 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB44)) | (~v159(constB44)) | v186(constB44))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30665,plain,
% 35.21/23.82 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB44)) | v186(constB44) | (~v179(constB44))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30664, 30663])).
% 35.21/23.82 tff(30666,plain,
% 35.21/23.82 ((~v159(constB44)) | v186(constB44)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30665, 23879, 30659])).
% 35.21/23.82 tff(30667,plain,
% 35.21/23.82 (~v159(constB44)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30666, 30638])).
% 35.21/23.82 tff(30668,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v180(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v180(constB45)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30669,plain,
% 35.21/23.82 (((~nextState(constB44, constB45)) | v1(constB45) | (~v180(constB45))) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v180(constB45)))),
% 35.21/23.82 inference(rewrite,[status(thm)],[])).
% 35.21/23.82 tff(30670,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB44, constB45)) | v1(constB45) | (~v180(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v180(constB45))))),
% 35.21/23.82 inference(monotonicity,[status(thm)],[30669])).
% 35.21/23.82 tff(30671,plain,
% 35.21/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB44, constB45)) | v1(constB45) | (~v180(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v180(constB45)))),
% 35.21/23.82 inference(transitivity,[status(thm)],[30670, 30668])).
% 35.21/23.82 tff(30672,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB44, constB45)) | v1(constB45) | (~v180(constB45)))),
% 35.21/23.82 inference(quant_inst,[status(thm)],[])).
% 35.21/23.82 tff(30673,plain,
% 35.21/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v180(constB45))),
% 35.21/23.82 inference(modus_ponens,[status(thm)],[30672, 30671])).
% 35.21/23.82 tff(30674,plain,
% 35.21/23.82 (~v180(constB45)),
% 35.21/23.82 inference(unit_resolution,[status(thm)],[30673, 23900, 8026, 8023])).
% 35.21/23.83 tff(30675,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB44, constB45)) | v180(constB45) | (~v179(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB44, constB45)) | v180(constB45) | (~v179(constB45)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30676,plain,
% 35.21/23.83 (((~nextState(constB44, constB45)) | (~v179(constB45)) | v180(constB45)) <=> ((~nextState(constB44, constB45)) | v180(constB45) | (~v179(constB45)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30677,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB44, constB45)) | (~v179(constB45)) | v180(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB44, constB45)) | v180(constB45) | (~v179(constB45))))),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30676])).
% 35.21/23.83 tff(30678,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB44, constB45)) | (~v179(constB45)) | v180(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB44, constB45)) | v180(constB45) | (~v179(constB45)))),
% 35.21/23.83 inference(transitivity,[status(thm)],[30677, 30675])).
% 35.21/23.83 tff(30679,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB44, constB45)) | (~v179(constB45)) | v180(constB45))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30680,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB44, constB45)) | v180(constB45) | (~v179(constB45))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30679, 30678])).
% 35.21/23.83 tff(30681,plain,
% 35.21/23.83 (v180(constB45) | (~v179(constB45))),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30680, 23917, 8026])).
% 35.21/23.83 tff(30682,plain,
% 35.21/23.83 (~v179(constB45)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30681, 30674])).
% 35.21/23.83 tff(30683,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB44) | (~nextState(constB44, constB45)) | v179(constB45) | (~v159(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB44) | (~nextState(constB44, constB45)) | v179(constB45) | (~v159(constB45)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30684,plain,
% 35.21/23.83 (((~nextState(constB44, constB45)) | v179(constB45) | v159(constB44) | (~v159(constB45))) <=> (v159(constB44) | (~nextState(constB44, constB45)) | v179(constB45) | (~v159(constB45)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30685,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB44, constB45)) | v179(constB45) | v159(constB44) | (~v159(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB44) | (~nextState(constB44, constB45)) | v179(constB45) | (~v159(constB45))))),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30684])).
% 35.21/23.83 tff(30686,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB44, constB45)) | v179(constB45) | v159(constB44) | (~v159(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB44) | (~nextState(constB44, constB45)) | v179(constB45) | (~v159(constB45)))),
% 35.21/23.83 inference(transitivity,[status(thm)],[30685, 30683])).
% 35.21/23.83 tff(30687,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB44, constB45)) | v179(constB45) | v159(constB44) | (~v159(constB45)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30688,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB44) | (~nextState(constB44, constB45)) | v179(constB45) | (~v159(constB45))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30687, 30686])).
% 35.21/23.83 tff(30689,plain,
% 35.21/23.83 (v159(constB44) | v179(constB45) | (~v159(constB45))),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30688, 23935, 8026])).
% 35.21/23.83 tff(30690,plain,
% 35.21/23.83 (v159(constB44) | (~v159(constB45))),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30689, 30682])).
% 35.21/23.83 tff(30691,plain,
% 35.21/23.83 (~v159(constB45)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30690, 30667])).
% 35.21/23.83 tff(30692,plain,
% 35.21/23.83 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB45) | (~v201(constB45)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB45) | (~v201(constB45)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30693,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB45) | (~v201(constB45)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30694,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB45) | (~v201(constB45))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30693, 30692])).
% 35.21/23.83 tff(30695,plain,
% 35.21/23.83 (~v201(constB45)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30694, 23951, 30691])).
% 35.21/23.83 tff(30696,plain,
% 35.21/23.83 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB45) | (~v200(constB45)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB45) | (~v200(constB45)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30697,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB45) | (~v200(constB45)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30698,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB45) | (~v200(constB45))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30697, 30696])).
% 35.21/23.83 tff(30699,plain,
% 35.21/23.83 (~v200(constB45)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30698, 23697, 30695])).
% 35.21/23.83 tff(30700,plain,
% 35.21/23.83 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB45) | (~v198(constB45)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB45) | (~v198(constB45)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30701,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB45) | (~v198(constB45)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30702,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB45) | (~v198(constB45))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30701, 30700])).
% 35.21/23.83 tff(30703,plain,
% 35.21/23.83 (~v198(constB45)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30702, 23708, 30699])).
% 35.21/23.83 tff(30704,assumption,(v18(constB46)), introduced(assumption)).
% 35.21/23.83 tff(30705,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB46))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30706,plain,
% 35.21/23.83 ($false),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30705, 8, 30704])).
% 35.21/23.83 tff(30707,plain,(~v18(constB46)), inference(lemma,lemma(discharge,[]))).
% 35.21/23.83 tff(30708,plain,
% 35.21/23.83 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB46) | (~v1(constB46)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB46) | (~v1(constB46)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30709,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB46) | (~v1(constB46)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30710,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB46) | (~v1(constB46))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30709, 30708])).
% 35.21/23.83 tff(30711,plain,
% 35.21/23.83 (v22(constB46)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30710, 21, 8234])).
% 35.21/23.83 tff(30712,plain,
% 35.21/23.83 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB46)) | (~v22(constB46)) | v18(constB46))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB46)) | (~v22(constB46)) | v18(constB46))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30713,plain,
% 35.21/23.83 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB46)) | (~v22(constB46)) | v18(constB46))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30714,plain,
% 35.21/23.83 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB46)) | (~v22(constB46)) | v18(constB46)),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30713, 30712])).
% 35.21/23.83 tff(30715,plain,
% 35.21/23.83 ((~v19(constB46)) | v18(constB46)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30714, 35, 30711])).
% 35.21/23.83 tff(30716,plain,
% 35.21/23.83 (~v19(constB46)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30715, 30707])).
% 35.21/23.83 tff(30717,plain,
% 35.21/23.83 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB46) | v19(constB46))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB46) | v19(constB46))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30718,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB46) | v19(constB46))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30719,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB46) | v19(constB46)),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30718, 30717])).
% 35.21/23.83 tff(30720,plain,
% 35.21/23.83 (v13(constB46)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30719, 50, 30716])).
% 35.21/23.83 tff(30721,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB45, constB46)) | (~v13(constB46)) | v9(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB45, constB46)) | (~v13(constB46)) | v9(constB45))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30722,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB45, constB46)) | (~v13(constB46)) | v9(constB45))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30723,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB45, constB46)) | (~v13(constB46)) | v9(constB45)),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30722, 30721])).
% 35.21/23.83 tff(30724,plain,
% 35.21/23.83 ((~v13(constB46)) | v9(constB45)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30723, 67, 8135])).
% 35.21/23.83 tff(30725,plain,
% 35.21/23.83 (v9(constB45)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30724, 30720])).
% 35.21/23.83 tff(30726,plain,
% 35.21/23.83 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB45) | (~v9(constB45)) | v197(constB45))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB45) | (~v9(constB45)) | v197(constB45))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30727,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB45) | (~v9(constB45)) | v197(constB45))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30728,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB45) | (~v9(constB45)) | v197(constB45)),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30727, 30726])).
% 35.21/23.83 tff(30729,plain,
% 35.21/23.83 ((~v9(constB45)) | v197(constB45)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30728, 85, 8023])).
% 35.21/23.83 tff(30730,plain,
% 35.21/23.83 (v197(constB45)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30729, 30725])).
% 35.21/23.83 tff(30731,plain,
% 35.21/23.83 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB45) | (~v197(constB45)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB45) | (~v197(constB45)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30732,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB45) | (~v197(constB45)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30733,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB45) | (~v197(constB45))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30732, 30731])).
% 35.21/23.83 tff(30734,plain,
% 35.21/23.83 (v196(constB45)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30733, 97, 30730])).
% 35.21/23.83 tff(30735,plain,
% 35.21/23.83 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB45)) | (~v196(constB45)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB45)) | (~v196(constB45)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30736,plain,
% 35.21/23.83 (((~v196(constB45)) | (~v194(constB45))) <=> ((~v194(constB45)) | (~v196(constB45)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30737,plain,
% 35.21/23.83 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB45)) | (~v194(constB45)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB45)) | (~v196(constB45))))),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30736])).
% 35.21/23.83 tff(30738,plain,
% 35.21/23.83 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB45)) | (~v194(constB45)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB45)) | (~v196(constB45)))),
% 35.21/23.83 inference(transitivity,[status(thm)],[30737, 30735])).
% 35.21/23.83 tff(30739,plain,
% 35.21/23.83 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB45)) | (~v194(constB45)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30740,plain,
% 35.21/23.83 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB45)) | (~v196(constB45))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30739, 30738])).
% 35.21/23.83 tff(30741,plain,
% 35.21/23.83 (~v194(constB45)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30740, 108, 30734])).
% 35.21/23.83 tff(30742,plain,
% 35.21/23.83 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB45) | v198(constB45) | (~v191(constB45)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB45) | v198(constB45) | (~v191(constB45)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30743,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB45) | v198(constB45) | (~v191(constB45)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30744,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB45) | v198(constB45) | (~v191(constB45))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30743, 30742])).
% 35.21/23.83 tff(30745,plain,
% 35.21/23.83 (v198(constB45) | (~v191(constB45))),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30744, 23722, 30741])).
% 35.21/23.83 tff(30746,plain,
% 35.21/23.83 (~v191(constB45)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30745, 30703])).
% 35.21/23.83 tff(30747,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB45, constB46)) | v191(constB45) | (~v193(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB45, constB46)) | v191(constB45) | (~v193(constB46)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30748,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB45, constB46)) | v191(constB45) | (~v193(constB46)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30749,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB45, constB46)) | v191(constB45) | (~v193(constB46))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30748, 30747])).
% 35.21/23.83 tff(30750,plain,
% 35.21/23.83 (v191(constB45) | (~v193(constB46))),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30749, 23737, 8135])).
% 35.21/23.83 tff(30751,plain,
% 35.21/23.83 (~v193(constB46)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30750, 30746])).
% 35.21/23.83 tff(30752,plain,
% 35.21/23.83 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB46) | (~v194(constB46)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB46) | (~v194(constB46)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30753,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB46) | (~v194(constB46)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30754,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB46) | (~v194(constB46))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30753, 30752])).
% 35.21/23.83 tff(30755,plain,
% 35.21/23.83 (~v194(constB46)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30754, 23749, 30751])).
% 35.21/23.83 tff(30756,plain,
% 35.21/23.83 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB46)) | (~v197(constB46)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB46)) | (~v197(constB46)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30757,plain,
% 35.21/23.83 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB46)) | (~v197(constB46)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30758,plain,
% 35.21/23.83 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB46)) | (~v197(constB46))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30757, 30756])).
% 35.21/23.83 tff(30759,plain,
% 35.21/23.83 (~v197(constB46)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30758, 23760, 8234])).
% 35.21/23.83 tff(30760,plain,
% 35.21/23.83 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB46) | (~v200(constB46)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB46) | (~v200(constB46)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30761,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB46) | (~v200(constB46)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30762,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB46) | (~v200(constB46))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30761, 30760])).
% 35.21/23.83 tff(30763,plain,
% 35.21/23.83 (~v200(constB46)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30762, 23771, 30759])).
% 35.21/23.83 tff(30764,plain,
% 35.21/23.83 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB46) | (~v198(constB46)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB46) | (~v198(constB46)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30765,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB46) | (~v198(constB46)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30766,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB46) | (~v198(constB46))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30765, 30764])).
% 35.21/23.83 tff(30767,plain,
% 35.21/23.83 (~v198(constB46)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30766, 23708, 30763])).
% 35.21/23.83 tff(30768,plain,
% 35.21/23.83 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB46) | v198(constB46) | (~v191(constB46)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB46) | v198(constB46) | (~v191(constB46)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30769,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB46) | v198(constB46) | (~v191(constB46)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30770,plain,
% 35.21/23.83 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB46) | v198(constB46) | (~v191(constB46))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30769, 30768])).
% 35.21/23.83 tff(30771,plain,
% 35.21/23.83 (v194(constB46) | (~v191(constB46))),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30770, 23722, 30767])).
% 35.21/23.83 tff(30772,plain,
% 35.21/23.83 (~v191(constB46)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30771, 30755])).
% 35.21/23.83 tff(30773,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB46, constB47)) | v191(constB46) | (~v193(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB46, constB47)) | v191(constB46) | (~v193(constB47)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30774,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB46, constB47)) | v191(constB46) | (~v193(constB47)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30775,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB46, constB47)) | v191(constB46) | (~v193(constB47))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30774, 30773])).
% 35.21/23.83 tff(30776,plain,
% 35.21/23.83 (v191(constB46) | (~v193(constB47))),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30775, 23737, 8265])).
% 35.21/23.83 tff(30777,plain,
% 35.21/23.83 (~v193(constB47)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30776, 30772])).
% 35.21/23.83 tff(30778,plain,
% 35.21/23.83 ($false),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30777, 30588])).
% 35.21/23.83 tff(30779,plain,(~(constB47 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.21/23.83 tff(30780,assumption,(constB164 = sK0_VarCurr), introduced(assumption)).
% 35.21/23.83 tff(30781,plain,
% 35.21/23.83 (v1(constB164) <=> v1(sK0_VarCurr)),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30780])).
% 35.21/23.83 tff(30782,plain,
% 35.21/23.83 (v1(sK0_VarCurr) <=> v1(constB164)),
% 35.21/23.83 inference(symmetry,[status(thm)],[30781])).
% 35.21/23.83 tff(30783,plain,
% 35.21/23.83 ((~v1(sK0_VarCurr)) <=> (~v1(constB164))),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30782])).
% 35.21/23.83 tff(30784,plain,
% 35.21/23.83 (~v1(constB164)),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[29884, 30783])).
% 35.21/23.83 tff(30785,plain,
% 35.21/23.83 ($false),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[25620, 30784])).
% 35.21/23.83 tff(30786,plain,(~(constB164 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.21/23.83 tff(30787,assumption,(constB124 = sK0_VarCurr), introduced(assumption)).
% 35.21/23.83 tff(30788,plain,
% 35.21/23.83 (v1(constB124) <=> v1(sK0_VarCurr)),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30787])).
% 35.21/23.83 tff(30789,plain,
% 35.21/23.83 (v1(sK0_VarCurr) <=> v1(constB124)),
% 35.21/23.83 inference(symmetry,[status(thm)],[30788])).
% 35.21/23.83 tff(30790,plain,
% 35.21/23.83 ((~v1(sK0_VarCurr)) <=> (~v1(constB124))),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30789])).
% 35.21/23.83 tff(30791,plain,
% 35.21/23.83 (~v1(constB124)),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[29884, 30790])).
% 35.21/23.83 tff(30792,plain,
% 35.21/23.83 ($false),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[18481, 30791])).
% 35.21/23.83 tff(30793,plain,(~(constB124 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.21/23.83 tff(30794,assumption,(constB198 = sK0_VarCurr), introduced(assumption)).
% 35.21/23.83 tff(30795,plain,
% 35.21/23.83 (v1(constB198) <=> v1(sK0_VarCurr)),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30794])).
% 35.21/23.83 tff(30796,plain,
% 35.21/23.83 (v1(sK0_VarCurr) <=> v1(constB198)),
% 35.21/23.83 inference(symmetry,[status(thm)],[30795])).
% 35.21/23.83 tff(30797,plain,
% 35.21/23.83 ((~v1(sK0_VarCurr)) <=> (~v1(constB198))),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30796])).
% 35.21/23.83 tff(30798,plain,
% 35.21/23.83 (~v1(constB198)),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[29884, 30797])).
% 35.21/23.83 tff(30799,plain,
% 35.21/23.83 (v1(constB198) <=> v1(constB198)),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30800,axiom,(v1(constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_198_1')).
% 35.21/23.83 tff(30801,plain,
% 35.21/23.83 (v1(constB198)),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30800, 30799])).
% 35.21/23.83 tff(30802,plain,
% 35.21/23.83 ($false),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30801, 30798])).
% 35.21/23.83 tff(30803,plain,(~(constB198 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.21/23.83 tff(30804,assumption,(constB156 = sK0_VarCurr), introduced(assumption)).
% 35.21/23.83 tff(30805,plain,
% 35.21/23.83 (v1(constB156) <=> v1(sK0_VarCurr)),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30804])).
% 35.21/23.83 tff(30806,plain,
% 35.21/23.83 (v1(sK0_VarCurr) <=> v1(constB156)),
% 35.21/23.83 inference(symmetry,[status(thm)],[30805])).
% 35.21/23.83 tff(30807,plain,
% 35.21/23.83 ((~v1(sK0_VarCurr)) <=> (~v1(constB156))),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30806])).
% 35.21/23.83 tff(30808,plain,
% 35.21/23.83 (~v1(constB156)),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[29884, 30807])).
% 35.21/23.83 tff(30809,plain,
% 35.21/23.83 ($false),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[23442, 30808])).
% 35.21/23.83 tff(30810,plain,(~(constB156 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.21/23.83 tff(30811,assumption,(constB113 = sK0_VarCurr), introduced(assumption)).
% 35.21/23.83 tff(30812,plain,
% 35.21/23.83 (v193(constB113) <=> v193(sK0_VarCurr)),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30811])).
% 35.21/23.83 tff(30813,plain,
% 35.21/23.83 (v193(sK0_VarCurr) <=> v193(constB113)),
% 35.21/23.83 inference(symmetry,[status(thm)],[30812])).
% 35.21/23.83 tff(30814,plain,
% 35.21/23.83 (v193(constB113)),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[24025, 30813])).
% 35.21/23.83 tff(30815,plain,
% 35.21/23.83 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB109)) | (~v170(constB109)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB109)) | (~v170(constB109)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30816,plain,
% 35.21/23.83 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB109)) | (~v170(constB109)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30817,plain,
% 35.21/23.83 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB109)) | (~v170(constB109))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30816, 30815])).
% 35.21/23.83 tff(30818,plain,
% 35.21/23.83 (~v170(constB109)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30817, 23647, 29399])).
% 35.21/23.83 tff(30819,plain,
% 35.21/23.83 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB109)) | (~v166(constB109)) | v170(constB109))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB109)) | (~v166(constB109)) | v170(constB109))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30820,plain,
% 35.21/23.83 (((~v166(constB109)) | v170(constB109) | (~v163(constB109))) <=> ((~v163(constB109)) | (~v166(constB109)) | v170(constB109))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30821,plain,
% 35.21/23.83 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB109)) | v170(constB109) | (~v163(constB109)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB109)) | (~v166(constB109)) | v170(constB109)))),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30820])).
% 35.21/23.83 tff(30822,plain,
% 35.21/23.83 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB109)) | v170(constB109) | (~v163(constB109)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB109)) | (~v166(constB109)) | v170(constB109))),
% 35.21/23.83 inference(transitivity,[status(thm)],[30821, 30819])).
% 35.21/23.83 tff(30823,plain,
% 35.21/23.83 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB109)) | v170(constB109) | (~v163(constB109)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30824,plain,
% 35.21/23.83 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB109)) | (~v166(constB109)) | v170(constB109)),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30823, 30822])).
% 35.21/23.83 tff(30825,plain,
% 35.21/23.83 (~v163(constB109)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30824, 23672, 29403, 30818])).
% 35.21/23.83 tff(30826,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30827,plain,
% 35.21/23.83 (((~nextState(constB109, constB110)) | v163(constB109) | (~v186(constB110))) <=> (v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30828,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB109, constB110)) | v163(constB109) | (~v186(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110))))),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30827])).
% 35.21/23.83 tff(30829,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB109, constB110)) | v163(constB109) | (~v186(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110)))),
% 35.21/23.83 inference(transitivity,[status(thm)],[30828, 30826])).
% 35.21/23.83 tff(30830,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB109, constB110)) | v163(constB109) | (~v186(constB110)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30831,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30830, 30829])).
% 35.21/23.83 tff(30832,plain,
% 35.21/23.83 (v163(constB109) | (~v186(constB110))),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30831, 23806, 16841])).
% 35.21/23.83 tff(30833,plain,
% 35.21/23.83 (~v186(constB110)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30832, 30825])).
% 35.21/23.83 tff(30834,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB109, constB110)) | v181(constB110) | v104(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB109, constB110)) | v181(constB110) | v104(constB110))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30835,plain,
% 35.21/23.83 (((~nextState(constB109, constB110)) | v104(constB110) | v181(constB110)) <=> ((~nextState(constB109, constB110)) | v181(constB110) | v104(constB110))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30836,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v181(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB109, constB110)) | v181(constB110) | v104(constB110)))),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30835])).
% 35.21/23.83 tff(30837,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v181(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB109, constB110)) | v181(constB110) | v104(constB110))),
% 35.21/23.83 inference(transitivity,[status(thm)],[30836, 30834])).
% 35.21/23.83 tff(30838,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v181(constB110))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30839,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB109, constB110)) | v181(constB110) | v104(constB110)),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30838, 30837])).
% 35.21/23.83 tff(30840,plain,
% 35.21/23.83 (v181(constB110) | v104(constB110)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30839, 23828, 16841])).
% 35.21/23.83 tff(30841,plain,
% 35.21/23.83 (v181(constB110)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30840, 16860])).
% 35.21/23.83 tff(30842,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30843,plain,
% 35.21/23.83 (((~nextState(constB109, constB110)) | (~v1(constB110)) | v180(constB110) | (~v181(constB110))) <=> ((~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30844,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v180(constB110) | (~v181(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110))))),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30843])).
% 35.21/23.83 tff(30845,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v180(constB110) | (~v181(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110)))),
% 35.21/23.83 inference(transitivity,[status(thm)],[30844, 30842])).
% 35.21/23.83 tff(30846,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v180(constB110) | (~v181(constB110)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30847,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30846, 30845])).
% 35.21/23.83 tff(30848,plain,
% 35.21/23.83 (v180(constB110) | (~v181(constB110))),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30847, 23846, 16841, 16871])).
% 35.21/23.83 tff(30849,plain,
% 35.21/23.83 (v180(constB110)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30848, 30841])).
% 35.21/23.83 tff(30850,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB109, constB110)) | v179(constB110) | (~v180(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB109, constB110)) | v179(constB110) | (~v180(constB110)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30851,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB109, constB110)) | v179(constB110) | (~v180(constB110)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30852,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB109, constB110)) | v179(constB110) | (~v180(constB110))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30851, 30850])).
% 35.21/23.83 tff(30853,plain,
% 35.21/23.83 (v179(constB110) | (~v180(constB110))),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30852, 23864, 16841])).
% 35.21/23.83 tff(30854,plain,
% 35.21/23.83 (v179(constB110)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30853, 30849])).
% 35.21/23.83 tff(30855,plain,
% 35.21/23.83 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB110)) | v186(constB110) | (~v179(constB110)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB110)) | v186(constB110) | (~v179(constB110)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30856,plain,
% 35.21/23.83 (((~v179(constB110)) | (~v159(constB110)) | v186(constB110)) <=> ((~v159(constB110)) | v186(constB110) | (~v179(constB110)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30857,plain,
% 35.21/23.83 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB110)) | (~v159(constB110)) | v186(constB110))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB110)) | v186(constB110) | (~v179(constB110))))),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30856])).
% 35.21/23.83 tff(30858,plain,
% 35.21/23.83 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB110)) | (~v159(constB110)) | v186(constB110))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB110)) | v186(constB110) | (~v179(constB110)))),
% 35.21/23.83 inference(transitivity,[status(thm)],[30857, 30855])).
% 35.21/23.83 tff(30859,plain,
% 35.21/23.83 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB110)) | (~v159(constB110)) | v186(constB110))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30860,plain,
% 35.21/23.83 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB110)) | v186(constB110) | (~v179(constB110))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30859, 30858])).
% 35.21/23.83 tff(30861,plain,
% 35.21/23.83 ((~v159(constB110)) | v186(constB110)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30860, 23879, 30854])).
% 35.21/23.83 tff(30862,plain,
% 35.21/23.83 (~v159(constB110)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30861, 30833])).
% 35.21/23.83 tff(30863,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30864,plain,
% 35.21/23.83 (((~nextState(constB110, constB111)) | v1(constB111) | (~v180(constB111))) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30865,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB110, constB111)) | v1(constB111) | (~v180(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111))))),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30864])).
% 35.21/23.83 tff(30866,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB110, constB111)) | v1(constB111) | (~v180(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111)))),
% 35.21/23.83 inference(transitivity,[status(thm)],[30865, 30863])).
% 35.21/23.83 tff(30867,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB110, constB111)) | v1(constB111) | (~v180(constB111)))),
% 35.21/23.83 inference(quant_inst,[status(thm)],[])).
% 35.21/23.83 tff(30868,plain,
% 35.21/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111))),
% 35.21/23.83 inference(modus_ponens,[status(thm)],[30867, 30866])).
% 35.21/23.83 tff(30869,plain,
% 35.21/23.83 (~v180(constB111)),
% 35.21/23.83 inference(unit_resolution,[status(thm)],[30868, 23900, 17145, 17142])).
% 35.21/23.83 tff(30870,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30871,plain,
% 35.21/23.83 (((~nextState(constB110, constB111)) | (~v179(constB111)) | v180(constB111)) <=> ((~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111)))),
% 35.21/23.83 inference(rewrite,[status(thm)],[])).
% 35.21/23.83 tff(30872,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB110, constB111)) | (~v179(constB111)) | v180(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111))))),
% 35.21/23.83 inference(monotonicity,[status(thm)],[30871])).
% 35.21/23.83 tff(30873,plain,
% 35.21/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB110, constB111)) | (~v179(constB111)) | v180(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111)))),
% 35.21/23.83 inference(transitivity,[status(thm)],[30872, 30870])).
% 35.21/23.84 tff(30874,plain,
% 35.21/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB110, constB111)) | (~v179(constB111)) | v180(constB111))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30875,plain,
% 35.21/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30874, 30873])).
% 35.21/23.84 tff(30876,plain,
% 35.21/23.84 (v180(constB111) | (~v179(constB111))),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30875, 23917, 17145])).
% 35.21/23.84 tff(30877,plain,
% 35.21/23.84 (~v179(constB111)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30876, 30869])).
% 35.21/23.84 tff(30878,plain,
% 35.21/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30879,plain,
% 35.21/23.84 (((~nextState(constB110, constB111)) | v179(constB111) | v159(constB110) | (~v159(constB111))) <=> (v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30880,plain,
% 35.21/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB110, constB111)) | v179(constB111) | v159(constB110) | (~v159(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111))))),
% 35.21/23.84 inference(monotonicity,[status(thm)],[30879])).
% 35.21/23.84 tff(30881,plain,
% 35.21/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB110, constB111)) | v179(constB111) | v159(constB110) | (~v159(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111)))),
% 35.21/23.84 inference(transitivity,[status(thm)],[30880, 30878])).
% 35.21/23.84 tff(30882,plain,
% 35.21/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB110, constB111)) | v179(constB111) | v159(constB110) | (~v159(constB111)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30883,plain,
% 35.21/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30882, 30881])).
% 35.21/23.84 tff(30884,plain,
% 35.21/23.84 (v159(constB110) | v179(constB111) | (~v159(constB111))),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30883, 23935, 17145])).
% 35.21/23.84 tff(30885,plain,
% 35.21/23.84 (v159(constB110) | (~v159(constB111))),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30884, 30877])).
% 35.21/23.84 tff(30886,plain,
% 35.21/23.84 (~v159(constB111)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30885, 30862])).
% 35.21/23.84 tff(30887,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB111) | (~v201(constB111)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB111) | (~v201(constB111)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30888,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB111) | (~v201(constB111)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30889,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB111) | (~v201(constB111))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30888, 30887])).
% 35.21/23.84 tff(30890,plain,
% 35.21/23.84 (~v201(constB111)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30889, 23951, 30886])).
% 35.21/23.84 tff(30891,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB111) | (~v200(constB111)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB111) | (~v200(constB111)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30892,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB111) | (~v200(constB111)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30893,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB111) | (~v200(constB111))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30892, 30891])).
% 35.21/23.84 tff(30894,plain,
% 35.21/23.84 (~v200(constB111)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30893, 23697, 30890])).
% 35.21/23.84 tff(30895,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB111) | (~v198(constB111)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB111) | (~v198(constB111)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30896,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB111) | (~v198(constB111)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30897,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB111) | (~v198(constB111))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30896, 30895])).
% 35.21/23.84 tff(30898,plain,
% 35.21/23.84 (~v198(constB111)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30897, 23708, 30894])).
% 35.21/23.84 tff(30899,assumption,(v18(constB112)), introduced(assumption)).
% 35.21/23.84 tff(30900,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB112))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30901,plain,
% 35.21/23.84 ($false),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30900, 8, 30899])).
% 35.21/23.84 tff(30902,plain,(~v18(constB112)), inference(lemma,lemma(discharge,[]))).
% 35.21/23.84 tff(30903,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30904,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30905,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30904, 30903])).
% 35.21/23.84 tff(30906,plain,
% 35.21/23.84 (v22(constB112)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30905, 21, 17291])).
% 35.21/23.84 tff(30907,plain,
% 35.21/23.84 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB112)) | (~v22(constB112)) | v18(constB112))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB112)) | (~v22(constB112)) | v18(constB112))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30908,plain,
% 35.21/23.84 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB112)) | (~v22(constB112)) | v18(constB112))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30909,plain,
% 35.21/23.84 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB112)) | (~v22(constB112)) | v18(constB112)),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30908, 30907])).
% 35.21/23.84 tff(30910,plain,
% 35.21/23.84 ((~v19(constB112)) | v18(constB112)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30909, 35, 30906])).
% 35.21/23.84 tff(30911,plain,
% 35.21/23.84 (~v19(constB112)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30910, 30902])).
% 35.21/23.84 tff(30912,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30913,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30914,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112)),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30913, 30912])).
% 35.21/23.84 tff(30915,plain,
% 35.21/23.84 (v13(constB112)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30914, 50, 30911])).
% 35.21/23.84 tff(30916,plain,
% 35.21/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30917,plain,
% 35.21/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30918,plain,
% 35.21/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111)),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30917, 30916])).
% 35.21/23.84 tff(30919,plain,
% 35.21/23.84 ((~v13(constB112)) | v9(constB111)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30918, 67, 17268])).
% 35.21/23.84 tff(30920,plain,
% 35.21/23.84 (v9(constB111)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30919, 30915])).
% 35.21/23.84 tff(30921,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v197(constB111))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB111) | (~v9(constB111)) | v197(constB111))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30922,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v197(constB111))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30923,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB111) | (~v9(constB111)) | v197(constB111)),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30922, 30921])).
% 35.21/23.84 tff(30924,plain,
% 35.21/23.84 ((~v9(constB111)) | v197(constB111)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30923, 85, 17142])).
% 35.21/23.84 tff(30925,plain,
% 35.21/23.84 (v197(constB111)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30924, 30920])).
% 35.21/23.84 tff(30926,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB111) | (~v197(constB111)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB111) | (~v197(constB111)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30927,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB111) | (~v197(constB111)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30928,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB111) | (~v197(constB111))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30927, 30926])).
% 35.21/23.84 tff(30929,plain,
% 35.21/23.84 (v196(constB111)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30928, 97, 30925])).
% 35.21/23.84 tff(30930,plain,
% 35.21/23.84 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB111)) | (~v196(constB111)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB111)) | (~v196(constB111)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30931,plain,
% 35.21/23.84 (((~v196(constB111)) | (~v194(constB111))) <=> ((~v194(constB111)) | (~v196(constB111)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30932,plain,
% 35.21/23.84 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB111)) | (~v194(constB111)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB111)) | (~v196(constB111))))),
% 35.21/23.84 inference(monotonicity,[status(thm)],[30931])).
% 35.21/23.84 tff(30933,plain,
% 35.21/23.84 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB111)) | (~v194(constB111)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB111)) | (~v196(constB111)))),
% 35.21/23.84 inference(transitivity,[status(thm)],[30932, 30930])).
% 35.21/23.84 tff(30934,plain,
% 35.21/23.84 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB111)) | (~v194(constB111)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30935,plain,
% 35.21/23.84 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB111)) | (~v196(constB111))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30934, 30933])).
% 35.21/23.84 tff(30936,plain,
% 35.21/23.84 (~v194(constB111)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30935, 108, 30929])).
% 35.21/23.84 tff(30937,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB111) | v198(constB111) | (~v191(constB111)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB111) | v198(constB111) | (~v191(constB111)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30938,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB111) | v198(constB111) | (~v191(constB111)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30939,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB111) | v198(constB111) | (~v191(constB111))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30938, 30937])).
% 35.21/23.84 tff(30940,plain,
% 35.21/23.84 (v198(constB111) | (~v191(constB111))),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30939, 23722, 30936])).
% 35.21/23.84 tff(30941,plain,
% 35.21/23.84 (~v191(constB111)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30940, 30898])).
% 35.21/23.84 tff(30942,plain,
% 35.21/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB111, constB112)) | v191(constB111) | (~v193(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB111, constB112)) | v191(constB111) | (~v193(constB112)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30943,plain,
% 35.21/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB111, constB112)) | v191(constB111) | (~v193(constB112)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30944,plain,
% 35.21/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB111, constB112)) | v191(constB111) | (~v193(constB112))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30943, 30942])).
% 35.21/23.84 tff(30945,plain,
% 35.21/23.84 (v191(constB111) | (~v193(constB112))),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30944, 23737, 17268])).
% 35.21/23.84 tff(30946,plain,
% 35.21/23.84 (~v193(constB112)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30945, 30941])).
% 35.21/23.84 tff(30947,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB112) | (~v194(constB112)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB112) | (~v194(constB112)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30948,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB112) | (~v194(constB112)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30949,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB112) | (~v194(constB112))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30948, 30947])).
% 35.21/23.84 tff(30950,plain,
% 35.21/23.84 (~v194(constB112)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30949, 23749, 30946])).
% 35.21/23.84 tff(30951,plain,
% 35.21/23.84 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB112)) | (~v197(constB112)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB112)) | (~v197(constB112)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30952,plain,
% 35.21/23.84 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB112)) | (~v197(constB112)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30953,plain,
% 35.21/23.84 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB112)) | (~v197(constB112))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30952, 30951])).
% 35.21/23.84 tff(30954,plain,
% 35.21/23.84 (~v197(constB112)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30953, 23760, 17291])).
% 35.21/23.84 tff(30955,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB112) | (~v200(constB112)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB112) | (~v200(constB112)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30956,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB112) | (~v200(constB112)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30957,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB112) | (~v200(constB112))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30956, 30955])).
% 35.21/23.84 tff(30958,plain,
% 35.21/23.84 (~v200(constB112)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30957, 23771, 30954])).
% 35.21/23.84 tff(30959,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB112) | (~v198(constB112)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB112) | (~v198(constB112)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30960,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB112) | (~v198(constB112)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30961,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB112) | (~v198(constB112))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30960, 30959])).
% 35.21/23.84 tff(30962,plain,
% 35.21/23.84 (~v198(constB112)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30961, 23708, 30958])).
% 35.21/23.84 tff(30963,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB112) | v198(constB112) | (~v191(constB112)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB112) | v198(constB112) | (~v191(constB112)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30964,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB112) | v198(constB112) | (~v191(constB112)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30965,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB112) | v198(constB112) | (~v191(constB112))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30964, 30963])).
% 35.21/23.84 tff(30966,plain,
% 35.21/23.84 (v194(constB112) | (~v191(constB112))),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30965, 23722, 30962])).
% 35.21/23.84 tff(30967,plain,
% 35.21/23.84 (~v191(constB112)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30966, 30950])).
% 35.21/23.84 tff(30968,plain,
% 35.21/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB112, constB113)) | v191(constB112) | (~v193(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB112, constB113)) | v191(constB112) | (~v193(constB113)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30969,plain,
% 35.21/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB112, constB113)) | v191(constB112) | (~v193(constB113)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30970,plain,
% 35.21/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB112, constB113)) | v191(constB112) | (~v193(constB113))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30969, 30968])).
% 35.21/23.84 tff(30971,plain,
% 35.21/23.84 (v191(constB112) | (~v193(constB113))),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30970, 23737, 17354])).
% 35.21/23.84 tff(30972,plain,
% 35.21/23.84 (~v193(constB113)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30971, 30967])).
% 35.21/23.84 tff(30973,plain,
% 35.21/23.84 ($false),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30972, 30814])).
% 35.21/23.84 tff(30974,plain,(~(constB113 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.21/23.84 tff(30975,assumption,(constB180 = sK0_VarCurr), introduced(assumption)).
% 35.21/23.84 tff(30976,plain,
% 35.21/23.84 (v1(constB180) <=> v1(sK0_VarCurr)),
% 35.21/23.84 inference(monotonicity,[status(thm)],[30975])).
% 35.21/23.84 tff(30977,plain,
% 35.21/23.84 (v1(sK0_VarCurr) <=> v1(constB180)),
% 35.21/23.84 inference(symmetry,[status(thm)],[30976])).
% 35.21/23.84 tff(30978,plain,
% 35.21/23.84 ((~v1(sK0_VarCurr)) <=> (~v1(constB180))),
% 35.21/23.84 inference(monotonicity,[status(thm)],[30977])).
% 35.21/23.84 tff(30979,plain,
% 35.21/23.84 (~v1(constB180)),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[29884, 30978])).
% 35.21/23.84 tff(30980,plain,
% 35.21/23.84 ($false),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[27636, 30979])).
% 35.21/23.84 tff(30981,plain,(~(constB180 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.21/23.84 tff(30982,assumption,(constB191 = sK0_VarCurr), introduced(assumption)).
% 35.21/23.84 tff(30983,plain,
% 35.21/23.84 (v193(constB191) <=> v193(sK0_VarCurr)),
% 35.21/23.84 inference(monotonicity,[status(thm)],[30982])).
% 35.21/23.84 tff(30984,plain,
% 35.21/23.84 (v193(sK0_VarCurr) <=> v193(constB191)),
% 35.21/23.84 inference(symmetry,[status(thm)],[30983])).
% 35.21/23.84 tff(30985,plain,
% 35.21/23.84 (v193(constB191)),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[24025, 30984])).
% 35.21/23.84 tff(30986,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30987,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30988,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30987, 30986])).
% 35.21/23.84 tff(30989,plain,
% 35.21/23.84 (~v88(constB187, bitIndex2)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30988, 24075, 28586])).
% 35.21/23.84 tff(30990,plain,
% 35.21/23.84 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30991,plain,
% 35.21/23.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30992,plain,
% 35.21/23.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1)),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30991, 30990])).
% 35.21/23.84 tff(30993,plain,
% 35.21/23.84 (v88(constB187, bitIndex1)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30992, 23528, 28617])).
% 35.21/23.84 tff(30994,plain,
% 35.21/23.84 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30995,plain,
% 35.21/23.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(30996,plain,
% 35.21/23.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0)),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30995, 30994])).
% 35.21/23.84 tff(30997,plain,
% 35.21/23.84 (v88(constB187, bitIndex0)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[30996, 30373, 28648])).
% 35.21/23.84 tff(30998,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(30999,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(31000,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187)),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[30999, 30998])).
% 35.21/23.84 tff(31001,plain,
% 35.21/23.84 (v141(constB187)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[31000, 30387, 30997, 30993, 30989])).
% 35.21/23.84 tff(31002,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB187) | (~v141(constB187)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB187) | (~v141(constB187)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(31003,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB187) | (~v141(constB187)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(31004,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB187) | (~v141(constB187))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[31003, 31002])).
% 35.21/23.84 tff(31005,plain,
% 35.21/23.84 (v168(constB187)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[31004, 30401, 31001])).
% 35.21/23.84 tff(31006,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB187) | (~v168(constB187)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB187) | (~v168(constB187)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(31007,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB187) | (~v168(constB187)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(31008,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB187) | (~v168(constB187))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[31007, 31006])).
% 35.21/23.84 tff(31009,plain,
% 35.21/23.84 (v167(constB187)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[31008, 30412, 31005])).
% 35.21/23.84 tff(31010,plain,
% 35.21/23.84 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB187)) | (~v170(constB187)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB187)) | (~v170(constB187)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(31011,plain,
% 35.21/23.84 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB187)) | (~v170(constB187)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(31012,plain,
% 35.21/23.84 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB187)) | (~v170(constB187))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[31011, 31010])).
% 35.21/23.84 tff(31013,plain,
% 35.21/23.84 (~v170(constB187)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[31012, 23647, 31009])).
% 35.21/23.84 tff(31014,plain,
% 35.21/23.84 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB187) | (~v167(constB187)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB187) | (~v167(constB187)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(31015,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB187) | (~v167(constB187)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(31016,plain,
% 35.21/23.84 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB187) | (~v167(constB187))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[31015, 31014])).
% 35.21/23.84 tff(31017,plain,
% 35.21/23.84 (v166(constB187)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[31016, 23658, 31009])).
% 35.21/23.84 tff(31018,plain,
% 35.21/23.84 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB187)) | (~v166(constB187)) | v170(constB187))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB187)) | (~v166(constB187)) | v170(constB187))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(31019,plain,
% 35.21/23.84 (((~v166(constB187)) | v170(constB187) | (~v163(constB187))) <=> ((~v163(constB187)) | (~v166(constB187)) | v170(constB187))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(31020,plain,
% 35.21/23.84 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB187)) | v170(constB187) | (~v163(constB187)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB187)) | (~v166(constB187)) | v170(constB187)))),
% 35.21/23.84 inference(monotonicity,[status(thm)],[31019])).
% 35.21/23.84 tff(31021,plain,
% 35.21/23.84 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB187)) | v170(constB187) | (~v163(constB187)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB187)) | (~v166(constB187)) | v170(constB187))),
% 35.21/23.84 inference(transitivity,[status(thm)],[31020, 31018])).
% 35.21/23.84 tff(31022,plain,
% 35.21/23.84 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB187)) | v170(constB187) | (~v163(constB187)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(31023,plain,
% 35.21/23.84 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB187)) | (~v166(constB187)) | v170(constB187)),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[31022, 31021])).
% 35.21/23.84 tff(31024,plain,
% 35.21/23.84 (~v163(constB187)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[31023, 23672, 31017, 31013])).
% 35.21/23.84 tff(31025,plain,
% 35.21/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(31026,plain,
% 35.21/23.84 (((~nextState(constB187, constB188)) | v163(constB187) | (~v186(constB188))) <=> (v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188)))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(31027,plain,
% 35.21/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB187, constB188)) | v163(constB187) | (~v186(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188))))),
% 35.21/23.84 inference(monotonicity,[status(thm)],[31026])).
% 35.21/23.84 tff(31028,plain,
% 35.21/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB187, constB188)) | v163(constB187) | (~v186(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188)))),
% 35.21/23.84 inference(transitivity,[status(thm)],[31027, 31025])).
% 35.21/23.84 tff(31029,plain,
% 35.21/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB187, constB188)) | v163(constB187) | (~v186(constB188)))),
% 35.21/23.84 inference(quant_inst,[status(thm)],[])).
% 35.21/23.84 tff(31030,plain,
% 35.21/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188))),
% 35.21/23.84 inference(modus_ponens,[status(thm)],[31029, 31028])).
% 35.21/23.84 tff(31031,plain,
% 35.21/23.84 (v163(constB187) | (~v186(constB188))),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[31030, 23806, 28687])).
% 35.21/23.84 tff(31032,plain,
% 35.21/23.84 (~v186(constB188)),
% 35.21/23.84 inference(unit_resolution,[status(thm)],[31031, 31024])).
% 35.21/23.84 tff(31033,plain,
% 35.21/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB187, constB188)) | v181(constB188) | v104(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB187, constB188)) | v181(constB188) | v104(constB188))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(31034,plain,
% 35.21/23.84 (((~nextState(constB187, constB188)) | v104(constB188) | v181(constB188)) <=> ((~nextState(constB187, constB188)) | v181(constB188) | v104(constB188))),
% 35.21/23.84 inference(rewrite,[status(thm)],[])).
% 35.21/23.84 tff(31035,plain,
% 35.21/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v181(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB187, constB188)) | v181(constB188) | v104(constB188)))),
% 35.25/23.84 inference(monotonicity,[status(thm)],[31034])).
% 35.25/23.84 tff(31036,plain,
% 35.25/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v181(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB187, constB188)) | v181(constB188) | v104(constB188))),
% 35.25/23.84 inference(transitivity,[status(thm)],[31035, 31033])).
% 35.25/23.84 tff(31037,plain,
% 35.25/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v181(constB188))),
% 35.25/23.84 inference(quant_inst,[status(thm)],[])).
% 35.25/23.84 tff(31038,plain,
% 35.25/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB187, constB188)) | v181(constB188) | v104(constB188)),
% 35.25/23.84 inference(modus_ponens,[status(thm)],[31037, 31036])).
% 35.25/23.84 tff(31039,plain,
% 35.25/23.84 (v181(constB188) | v104(constB188)),
% 35.25/23.84 inference(unit_resolution,[status(thm)],[31038, 23828, 28687])).
% 35.25/23.84 tff(31040,plain,
% 35.25/23.84 (v181(constB188)),
% 35.25/23.84 inference(unit_resolution,[status(thm)],[31039, 28699])).
% 35.25/23.84 tff(31041,plain,
% 35.25/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188)))),
% 35.25/23.84 inference(rewrite,[status(thm)],[])).
% 35.25/23.84 tff(31042,plain,
% 35.25/23.84 (((~nextState(constB187, constB188)) | (~v1(constB188)) | v180(constB188) | (~v181(constB188))) <=> ((~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188)))),
% 35.25/23.84 inference(rewrite,[status(thm)],[])).
% 35.25/23.84 tff(31043,plain,
% 35.25/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v180(constB188) | (~v181(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188))))),
% 35.25/23.84 inference(monotonicity,[status(thm)],[31042])).
% 35.25/23.84 tff(31044,plain,
% 35.25/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v180(constB188) | (~v181(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188)))),
% 35.25/23.84 inference(transitivity,[status(thm)],[31043, 31041])).
% 35.25/23.84 tff(31045,plain,
% 35.25/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v180(constB188) | (~v181(constB188)))),
% 35.25/23.84 inference(quant_inst,[status(thm)],[])).
% 35.25/23.84 tff(31046,plain,
% 35.25/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188))),
% 35.25/23.84 inference(modus_ponens,[status(thm)],[31045, 31044])).
% 35.25/23.84 tff(31047,plain,
% 35.25/23.84 (v180(constB188) | (~v181(constB188))),
% 35.25/23.84 inference(unit_resolution,[status(thm)],[31046, 23846, 28687, 28710])).
% 35.25/23.84 tff(31048,plain,
% 35.25/23.84 (v180(constB188)),
% 35.25/23.84 inference(unit_resolution,[status(thm)],[31047, 31040])).
% 35.25/23.84 tff(31049,plain,
% 35.25/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB187, constB188)) | v179(constB188) | (~v180(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB187, constB188)) | v179(constB188) | (~v180(constB188)))),
% 35.25/23.85 inference(rewrite,[status(thm)],[])).
% 35.25/23.85 tff(31050,plain,
% 35.25/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB187, constB188)) | v179(constB188) | (~v180(constB188)))),
% 35.25/23.85 inference(quant_inst,[status(thm)],[])).
% 35.25/23.85 tff(31051,plain,
% 35.25/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB187, constB188)) | v179(constB188) | (~v180(constB188))),
% 35.25/23.85 inference(modus_ponens,[status(thm)],[31050, 31049])).
% 35.25/23.85 tff(31052,plain,
% 35.25/23.85 (v179(constB188) | (~v180(constB188))),
% 35.25/23.85 inference(unit_resolution,[status(thm)],[31051, 23864, 28687])).
% 35.25/23.85 tff(31053,plain,
% 35.25/23.85 (v179(constB188)),
% 35.25/23.85 inference(unit_resolution,[status(thm)],[31052, 31048])).
% 35.25/23.85 tff(31054,plain,
% 35.25/23.85 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB188)) | v186(constB188) | (~v179(constB188)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB188)) | v186(constB188) | (~v179(constB188)))),
% 35.25/23.85 inference(rewrite,[status(thm)],[])).
% 35.25/23.85 tff(31055,plain,
% 35.25/23.85 (((~v179(constB188)) | (~v159(constB188)) | v186(constB188)) <=> ((~v159(constB188)) | v186(constB188) | (~v179(constB188)))),
% 35.25/23.85 inference(rewrite,[status(thm)],[])).
% 35.25/23.85 tff(31056,plain,
% 35.25/23.85 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB188)) | (~v159(constB188)) | v186(constB188))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB188)) | v186(constB188) | (~v179(constB188))))),
% 35.25/23.85 inference(monotonicity,[status(thm)],[31055])).
% 35.25/23.85 tff(31057,plain,
% 35.25/23.85 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB188)) | (~v159(constB188)) | v186(constB188))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB188)) | v186(constB188) | (~v179(constB188)))),
% 35.25/23.85 inference(transitivity,[status(thm)],[31056, 31054])).
% 35.25/23.85 tff(31058,plain,
% 35.25/23.85 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB188)) | (~v159(constB188)) | v186(constB188))),
% 35.25/23.85 inference(quant_inst,[status(thm)],[])).
% 35.25/23.85 tff(31059,plain,
% 35.25/23.85 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB188)) | v186(constB188) | (~v179(constB188))),
% 35.25/23.85 inference(modus_ponens,[status(thm)],[31058, 31057])).
% 35.25/23.85 tff(31060,plain,
% 35.25/23.85 ((~v159(constB188)) | v186(constB188)),
% 35.25/23.85 inference(unit_resolution,[status(thm)],[31059, 23879, 31053])).
% 35.25/23.85 tff(31061,plain,
% 35.25/23.85 (~v159(constB188)),
% 35.25/23.85 inference(unit_resolution,[status(thm)],[31060, 31032])).
% 35.25/23.85 tff(31062,plain,
% 35.25/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189)))),
% 35.25/23.85 inference(rewrite,[status(thm)],[])).
% 35.25/23.85 tff(31063,plain,
% 35.25/23.85 (((~nextState(constB188, constB189)) | v1(constB189) | (~v180(constB189))) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189)))),
% 35.25/23.85 inference(rewrite,[status(thm)],[])).
% 35.25/23.85 tff(31064,plain,
% 35.25/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB188, constB189)) | v1(constB189) | (~v180(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189))))),
% 35.25/23.85 inference(monotonicity,[status(thm)],[31063])).
% 35.25/23.85 tff(31065,plain,
% 35.25/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB188, constB189)) | v1(constB189) | (~v180(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189)))),
% 35.26/23.85 inference(transitivity,[status(thm)],[31064, 31062])).
% 35.26/23.85 tff(31066,plain,
% 35.26/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB188, constB189)) | v1(constB189) | (~v180(constB189)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31067,plain,
% 35.26/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31066, 31065])).
% 35.26/23.85 tff(31068,plain,
% 35.26/23.85 (~v180(constB189)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31067, 23900, 28755, 28752])).
% 35.26/23.85 tff(31069,plain,
% 35.26/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31070,plain,
% 35.26/23.85 (((~nextState(constB188, constB189)) | (~v179(constB189)) | v180(constB189)) <=> ((~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31071,plain,
% 35.26/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB188, constB189)) | (~v179(constB189)) | v180(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189))))),
% 35.26/23.85 inference(monotonicity,[status(thm)],[31070])).
% 35.26/23.85 tff(31072,plain,
% 35.26/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB188, constB189)) | (~v179(constB189)) | v180(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189)))),
% 35.26/23.85 inference(transitivity,[status(thm)],[31071, 31069])).
% 35.26/23.85 tff(31073,plain,
% 35.26/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB188, constB189)) | (~v179(constB189)) | v180(constB189))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31074,plain,
% 35.26/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31073, 31072])).
% 35.26/23.85 tff(31075,plain,
% 35.26/23.85 (v180(constB189) | (~v179(constB189))),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31074, 23917, 28755])).
% 35.26/23.85 tff(31076,plain,
% 35.26/23.85 (~v179(constB189)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31075, 31068])).
% 35.26/23.85 tff(31077,plain,
% 35.26/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31078,plain,
% 35.26/23.85 (((~nextState(constB188, constB189)) | v179(constB189) | v159(constB188) | (~v159(constB189))) <=> (v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31079,plain,
% 35.26/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB188, constB189)) | v179(constB189) | v159(constB188) | (~v159(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189))))),
% 35.26/23.85 inference(monotonicity,[status(thm)],[31078])).
% 35.26/23.85 tff(31080,plain,
% 35.26/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB188, constB189)) | v179(constB189) | v159(constB188) | (~v159(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189)))),
% 35.26/23.85 inference(transitivity,[status(thm)],[31079, 31077])).
% 35.26/23.85 tff(31081,plain,
% 35.26/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB188, constB189)) | v179(constB189) | v159(constB188) | (~v159(constB189)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31082,plain,
% 35.26/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31081, 31080])).
% 35.26/23.85 tff(31083,plain,
% 35.26/23.85 (v159(constB188) | v179(constB189) | (~v159(constB189))),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31082, 23935, 28755])).
% 35.26/23.85 tff(31084,plain,
% 35.26/23.85 (v159(constB188) | (~v159(constB189))),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31083, 31076])).
% 35.26/23.85 tff(31085,plain,
% 35.26/23.85 (~v159(constB189)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31084, 31061])).
% 35.26/23.85 tff(31086,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB189) | (~v201(constB189)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB189) | (~v201(constB189)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31087,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB189) | (~v201(constB189)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31088,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB189) | (~v201(constB189))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31087, 31086])).
% 35.26/23.85 tff(31089,plain,
% 35.26/23.85 (~v201(constB189)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31088, 23951, 31085])).
% 35.26/23.85 tff(31090,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB189) | (~v200(constB189)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB189) | (~v200(constB189)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31091,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB189) | (~v200(constB189)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31092,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB189) | (~v200(constB189))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31091, 31090])).
% 35.26/23.85 tff(31093,plain,
% 35.26/23.85 (~v200(constB189)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31092, 23697, 31089])).
% 35.26/23.85 tff(31094,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB189) | (~v198(constB189)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB189) | (~v198(constB189)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31095,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB189) | (~v198(constB189)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31096,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB189) | (~v198(constB189))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31095, 31094])).
% 35.26/23.85 tff(31097,plain,
% 35.26/23.85 (~v198(constB189)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31096, 23708, 31093])).
% 35.26/23.85 tff(31098,assumption,(v18(constB190)), introduced(assumption)).
% 35.26/23.85 tff(31099,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB190))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31100,plain,
% 35.26/23.85 ($false),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31099, 8, 31098])).
% 35.26/23.85 tff(31101,plain,(~v18(constB190)), inference(lemma,lemma(discharge,[]))).
% 35.26/23.85 tff(31102,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31103,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31104,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31103, 31102])).
% 35.26/23.85 tff(31105,plain,
% 35.26/23.85 (v22(constB190)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31104, 21, 28899])).
% 35.26/23.85 tff(31106,plain,
% 35.26/23.85 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB190)) | (~v22(constB190)) | v18(constB190))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB190)) | (~v22(constB190)) | v18(constB190))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31107,plain,
% 35.26/23.85 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB190)) | (~v22(constB190)) | v18(constB190))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31108,plain,
% 35.26/23.85 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB190)) | (~v22(constB190)) | v18(constB190)),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31107, 31106])).
% 35.26/23.85 tff(31109,plain,
% 35.26/23.85 ((~v19(constB190)) | v18(constB190)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31108, 35, 31105])).
% 35.26/23.85 tff(31110,plain,
% 35.26/23.85 (~v19(constB190)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31109, 31101])).
% 35.26/23.85 tff(31111,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31112,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31113,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190)),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31112, 31111])).
% 35.26/23.85 tff(31114,plain,
% 35.26/23.85 (v13(constB190)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31113, 50, 31110])).
% 35.26/23.85 tff(31115,plain,
% 35.26/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31116,plain,
% 35.26/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31117,plain,
% 35.26/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189)),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31116, 31115])).
% 35.26/23.85 tff(31118,plain,
% 35.26/23.85 ((~v13(constB190)) | v9(constB189)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31117, 67, 28876])).
% 35.26/23.85 tff(31119,plain,
% 35.26/23.85 (v9(constB189)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31118, 31114])).
% 35.26/23.85 tff(31120,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v197(constB189))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB189) | (~v9(constB189)) | v197(constB189))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31121,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v197(constB189))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31122,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB189) | (~v9(constB189)) | v197(constB189)),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31121, 31120])).
% 35.26/23.85 tff(31123,plain,
% 35.26/23.85 ((~v9(constB189)) | v197(constB189)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31122, 85, 28752])).
% 35.26/23.85 tff(31124,plain,
% 35.26/23.85 (v197(constB189)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31123, 31119])).
% 35.26/23.85 tff(31125,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB189) | (~v197(constB189)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB189) | (~v197(constB189)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31126,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB189) | (~v197(constB189)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31127,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB189) | (~v197(constB189))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31126, 31125])).
% 35.26/23.85 tff(31128,plain,
% 35.26/23.85 (v196(constB189)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31127, 97, 31124])).
% 35.26/23.85 tff(31129,plain,
% 35.26/23.85 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB189)) | (~v196(constB189)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB189)) | (~v196(constB189)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31130,plain,
% 35.26/23.85 (((~v196(constB189)) | (~v194(constB189))) <=> ((~v194(constB189)) | (~v196(constB189)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31131,plain,
% 35.26/23.85 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB189)) | (~v194(constB189)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB189)) | (~v196(constB189))))),
% 35.26/23.85 inference(monotonicity,[status(thm)],[31130])).
% 35.26/23.85 tff(31132,plain,
% 35.26/23.85 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB189)) | (~v194(constB189)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB189)) | (~v196(constB189)))),
% 35.26/23.85 inference(transitivity,[status(thm)],[31131, 31129])).
% 35.26/23.85 tff(31133,plain,
% 35.26/23.85 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB189)) | (~v194(constB189)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31134,plain,
% 35.26/23.85 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB189)) | (~v196(constB189))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31133, 31132])).
% 35.26/23.85 tff(31135,plain,
% 35.26/23.85 (~v194(constB189)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31134, 108, 31128])).
% 35.26/23.85 tff(31136,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB189) | v198(constB189) | (~v191(constB189)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB189) | v198(constB189) | (~v191(constB189)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31137,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB189) | v198(constB189) | (~v191(constB189)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31138,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB189) | v198(constB189) | (~v191(constB189))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31137, 31136])).
% 35.26/23.85 tff(31139,plain,
% 35.26/23.85 (v198(constB189) | (~v191(constB189))),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31138, 23722, 31135])).
% 35.26/23.85 tff(31140,plain,
% 35.26/23.85 (~v191(constB189)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31139, 31097])).
% 35.26/23.85 tff(31141,plain,
% 35.26/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB189, constB190)) | v191(constB189) | (~v193(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB189, constB190)) | v191(constB189) | (~v193(constB190)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31142,plain,
% 35.26/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB189, constB190)) | v191(constB189) | (~v193(constB190)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31143,plain,
% 35.26/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB189, constB190)) | v191(constB189) | (~v193(constB190))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31142, 31141])).
% 35.26/23.85 tff(31144,plain,
% 35.26/23.85 (v191(constB189) | (~v193(constB190))),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31143, 23737, 28876])).
% 35.26/23.85 tff(31145,plain,
% 35.26/23.85 (~v193(constB190)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31144, 31140])).
% 35.26/23.85 tff(31146,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB190) | (~v194(constB190)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB190) | (~v194(constB190)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31147,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB190) | (~v194(constB190)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31148,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB190) | (~v194(constB190))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31147, 31146])).
% 35.26/23.85 tff(31149,plain,
% 35.26/23.85 (~v194(constB190)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31148, 23749, 31145])).
% 35.26/23.85 tff(31150,plain,
% 35.26/23.85 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB190)) | (~v197(constB190)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB190)) | (~v197(constB190)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31151,plain,
% 35.26/23.85 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB190)) | (~v197(constB190)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31152,plain,
% 35.26/23.85 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB190)) | (~v197(constB190))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31151, 31150])).
% 35.26/23.85 tff(31153,plain,
% 35.26/23.85 (~v197(constB190)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31152, 23760, 28899])).
% 35.26/23.85 tff(31154,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB190) | (~v200(constB190)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB190) | (~v200(constB190)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31155,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB190) | (~v200(constB190)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31156,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB190) | (~v200(constB190))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31155, 31154])).
% 35.26/23.85 tff(31157,plain,
% 35.26/23.85 (~v200(constB190)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31156, 23771, 31153])).
% 35.26/23.85 tff(31158,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB190) | (~v198(constB190)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB190) | (~v198(constB190)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31159,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB190) | (~v198(constB190)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31160,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB190) | (~v198(constB190))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31159, 31158])).
% 35.26/23.85 tff(31161,plain,
% 35.26/23.85 (~v198(constB190)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31160, 23708, 31157])).
% 35.26/23.85 tff(31162,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB190) | v198(constB190) | (~v191(constB190)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB190) | v198(constB190) | (~v191(constB190)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31163,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB190) | v198(constB190) | (~v191(constB190)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31164,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB190) | v198(constB190) | (~v191(constB190))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31163, 31162])).
% 35.26/23.85 tff(31165,plain,
% 35.26/23.85 (v194(constB190) | (~v191(constB190))),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31164, 23722, 31161])).
% 35.26/23.85 tff(31166,plain,
% 35.26/23.85 (~v191(constB190)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31165, 31149])).
% 35.26/23.85 tff(31167,plain,
% 35.26/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB190, constB191)) | v191(constB190) | (~v193(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB190, constB191)) | v191(constB190) | (~v193(constB191)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31168,plain,
% 35.26/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB190, constB191)) | v191(constB190) | (~v193(constB191)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31169,plain,
% 35.26/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB190, constB191)) | v191(constB190) | (~v193(constB191))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31168, 31167])).
% 35.26/23.85 tff(31170,plain,
% 35.26/23.85 (v191(constB190) | (~v193(constB191))),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31169, 23737, 28944])).
% 35.26/23.85 tff(31171,plain,
% 35.26/23.85 (~v193(constB191)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31170, 31166])).
% 35.26/23.85 tff(31172,plain,
% 35.26/23.85 ($false),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31171, 30985])).
% 35.26/23.85 tff(31173,plain,(~(constB191 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.26/23.85 tff(31174,assumption,(constB9 = sK0_VarCurr), introduced(assumption)).
% 35.26/23.85 tff(31175,plain,
% 35.26/23.85 (v193(constB9) <=> v193(sK0_VarCurr)),
% 35.26/23.85 inference(monotonicity,[status(thm)],[31174])).
% 35.26/23.85 tff(31176,plain,
% 35.26/23.85 (v193(sK0_VarCurr) <=> v193(constB9)),
% 35.26/23.85 inference(symmetry,[status(thm)],[31175])).
% 35.26/23.85 tff(31177,plain,
% 35.26/23.85 (v193(constB9)),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[24025, 31176])).
% 35.26/23.85 tff(31178,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB5, bitIndex2) | (~v88(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB5, bitIndex2) | (~v88(constB5, bitIndex2)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31179,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB5, bitIndex2) | (~v88(constB5, bitIndex2)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31180,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB5, bitIndex2) | (~v88(constB5, bitIndex2))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31179, 31178])).
% 35.26/23.85 tff(31181,plain,
% 35.26/23.85 (~v88(constB5, bitIndex2)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31180, 24075, 1077])).
% 35.26/23.85 tff(31182,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB5, bitIndex0) | (~v88(constB5, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB5, bitIndex0) | (~v88(constB5, bitIndex0)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31183,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB5, bitIndex0) | (~v88(constB5, bitIndex0)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31184,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB5, bitIndex0) | (~v88(constB5, bitIndex0))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31183, 31182])).
% 35.26/23.85 tff(31185,plain,
% 35.26/23.85 (~v88(constB5, bitIndex0)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31184, 23593, 1232])).
% 35.26/23.85 tff(31186,plain,
% 35.26/23.85 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31187,plain,
% 35.26/23.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31188,plain,
% 35.26/23.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1)),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31187, 31186])).
% 35.26/23.85 tff(31189,plain,
% 35.26/23.85 (v88(constB5, bitIndex1)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31188, 23528, 1158])).
% 35.26/23.85 tff(31190,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v143(constB5) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v143(constB5) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31191,plain,
% 35.26/23.85 ((v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v143(constB5)) <=> (v143(constB5) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31192,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v143(constB5))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v143(constB5) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1))))),
% 35.26/23.85 inference(monotonicity,[status(thm)],[31191])).
% 35.26/23.85 tff(31193,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v143(constB5))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v143(constB5) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)))),
% 35.26/23.85 inference(transitivity,[status(thm)],[31192, 31190])).
% 35.26/23.85 tff(31194,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v143(constB5))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31195,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v143(constB5) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31194, 31193])).
% 35.26/23.85 tff(31196,plain,
% 35.26/23.85 (v143(constB5)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31195, 24097, 31189, 31185, 31181])).
% 35.26/23.85 tff(31197,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB5) | (~v143(constB5)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB5) | (~v143(constB5)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31198,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB5) | (~v143(constB5)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31199,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB5) | (~v143(constB5))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31198, 31197])).
% 35.26/23.85 tff(31200,plain,
% 35.26/23.85 (v142(constB5)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31199, 24111, 31196])).
% 35.26/23.85 tff(31201,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB5) | (~v142(constB5)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31202,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB5) | (~v142(constB5)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31203,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB5) | (~v142(constB5))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31202, 31201])).
% 35.26/23.85 tff(31204,plain,
% 35.26/23.85 (v167(constB5)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31203, 23633, 31200])).
% 35.26/23.85 tff(31205,plain,
% 35.26/23.85 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB5)) | (~v170(constB5)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB5)) | (~v170(constB5)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31206,plain,
% 35.26/23.85 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB5)) | (~v170(constB5)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31207,plain,
% 35.26/23.85 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB5)) | (~v170(constB5))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31206, 31205])).
% 35.26/23.85 tff(31208,plain,
% 35.26/23.85 (~v170(constB5)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31207, 23647, 31204])).
% 35.26/23.85 tff(31209,plain,
% 35.26/23.85 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB5) | (~v167(constB5)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB5) | (~v167(constB5)))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31210,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB5) | (~v167(constB5)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31211,plain,
% 35.26/23.85 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB5) | (~v167(constB5))),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31210, 31209])).
% 35.26/23.85 tff(31212,plain,
% 35.26/23.85 (v166(constB5)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31211, 23658, 31204])).
% 35.26/23.85 tff(31213,plain,
% 35.26/23.85 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB5)) | (~v166(constB5)) | v170(constB5))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB5)) | (~v166(constB5)) | v170(constB5))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31214,plain,
% 35.26/23.85 (((~v166(constB5)) | v170(constB5) | (~v163(constB5))) <=> ((~v163(constB5)) | (~v166(constB5)) | v170(constB5))),
% 35.26/23.85 inference(rewrite,[status(thm)],[])).
% 35.26/23.85 tff(31215,plain,
% 35.26/23.85 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB5)) | v170(constB5) | (~v163(constB5)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB5)) | (~v166(constB5)) | v170(constB5)))),
% 35.26/23.85 inference(monotonicity,[status(thm)],[31214])).
% 35.26/23.85 tff(31216,plain,
% 35.26/23.85 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB5)) | v170(constB5) | (~v163(constB5)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB5)) | (~v166(constB5)) | v170(constB5))),
% 35.26/23.85 inference(transitivity,[status(thm)],[31215, 31213])).
% 35.26/23.85 tff(31217,plain,
% 35.26/23.85 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB5)) | v170(constB5) | (~v163(constB5)))),
% 35.26/23.85 inference(quant_inst,[status(thm)],[])).
% 35.26/23.85 tff(31218,plain,
% 35.26/23.85 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB5)) | (~v166(constB5)) | v170(constB5)),
% 35.26/23.85 inference(modus_ponens,[status(thm)],[31217, 31216])).
% 35.26/23.85 tff(31219,plain,
% 35.26/23.85 (~v163(constB5)),
% 35.26/23.85 inference(unit_resolution,[status(thm)],[31218, 23672, 31212, 31208])).
% 35.26/23.85 tff(31220,plain,
% 35.26/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31221,plain,
% 35.26/23.86 (((~nextState(constB5, constB6)) | v163(constB5) | (~v186(constB6))) <=> (v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31222,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB5, constB6)) | v163(constB5) | (~v186(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6))))),
% 35.26/23.86 inference(monotonicity,[status(thm)],[31221])).
% 35.26/23.86 tff(31223,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB5, constB6)) | v163(constB5) | (~v186(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6)))),
% 35.26/23.86 inference(transitivity,[status(thm)],[31222, 31220])).
% 35.26/23.86 tff(31224,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB5, constB6)) | v163(constB5) | (~v186(constB6)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31225,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31224, 31223])).
% 35.26/23.86 tff(31226,plain,
% 35.26/23.86 (v163(constB5) | (~v186(constB6))),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31225, 23806, 1292])).
% 35.26/23.86 tff(31227,plain,
% 35.26/23.86 (~v186(constB6)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31226, 31219])).
% 35.26/23.86 tff(31228,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB5, constB6)) | v181(constB6) | v104(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB5, constB6)) | v181(constB6) | v104(constB6))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31229,plain,
% 35.26/23.86 (((~nextState(constB5, constB6)) | v104(constB6) | v181(constB6)) <=> ((~nextState(constB5, constB6)) | v181(constB6) | v104(constB6))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31230,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v181(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB5, constB6)) | v181(constB6) | v104(constB6)))),
% 35.26/23.86 inference(monotonicity,[status(thm)],[31229])).
% 35.26/23.86 tff(31231,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v181(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB5, constB6)) | v181(constB6) | v104(constB6))),
% 35.26/23.86 inference(transitivity,[status(thm)],[31230, 31228])).
% 35.26/23.86 tff(31232,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v181(constB6))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31233,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB5, constB6)) | v181(constB6) | v104(constB6)),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31232, 31231])).
% 35.26/23.86 tff(31234,plain,
% 35.26/23.86 (v181(constB6) | v104(constB6)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31233, 23828, 1292])).
% 35.26/23.86 tff(31235,plain,
% 35.26/23.86 (v181(constB6)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31234, 1304])).
% 35.26/23.86 tff(31236,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31237,plain,
% 35.26/23.86 (((~nextState(constB5, constB6)) | (~v1(constB6)) | v180(constB6) | (~v181(constB6))) <=> ((~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31238,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v180(constB6) | (~v181(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6))))),
% 35.26/23.86 inference(monotonicity,[status(thm)],[31237])).
% 35.26/23.86 tff(31239,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v180(constB6) | (~v181(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6)))),
% 35.26/23.86 inference(transitivity,[status(thm)],[31238, 31236])).
% 35.26/23.86 tff(31240,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v180(constB6) | (~v181(constB6)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31241,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31240, 31239])).
% 35.26/23.86 tff(31242,plain,
% 35.26/23.86 (v180(constB6) | (~v181(constB6))),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31241, 23846, 1292, 1315])).
% 35.26/23.86 tff(31243,plain,
% 35.26/23.86 (v180(constB6)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31242, 31235])).
% 35.26/23.86 tff(31244,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB5, constB6)) | v179(constB6) | (~v180(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB5, constB6)) | v179(constB6) | (~v180(constB6)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31245,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB5, constB6)) | v179(constB6) | (~v180(constB6)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31246,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB5, constB6)) | v179(constB6) | (~v180(constB6))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31245, 31244])).
% 35.26/23.86 tff(31247,plain,
% 35.26/23.86 (v179(constB6) | (~v180(constB6))),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31246, 23864, 1292])).
% 35.26/23.86 tff(31248,plain,
% 35.26/23.86 (v179(constB6)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31247, 31243])).
% 35.26/23.86 tff(31249,plain,
% 35.26/23.86 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB6)) | v186(constB6) | (~v179(constB6)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB6)) | v186(constB6) | (~v179(constB6)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31250,plain,
% 35.26/23.86 (((~v179(constB6)) | (~v159(constB6)) | v186(constB6)) <=> ((~v159(constB6)) | v186(constB6) | (~v179(constB6)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31251,plain,
% 35.26/23.86 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB6)) | (~v159(constB6)) | v186(constB6))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB6)) | v186(constB6) | (~v179(constB6))))),
% 35.26/23.86 inference(monotonicity,[status(thm)],[31250])).
% 35.26/23.86 tff(31252,plain,
% 35.26/23.86 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB6)) | (~v159(constB6)) | v186(constB6))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB6)) | v186(constB6) | (~v179(constB6)))),
% 35.26/23.86 inference(transitivity,[status(thm)],[31251, 31249])).
% 35.26/23.86 tff(31253,plain,
% 35.26/23.86 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB6)) | (~v159(constB6)) | v186(constB6))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31254,plain,
% 35.26/23.86 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB6)) | v186(constB6) | (~v179(constB6))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31253, 31252])).
% 35.26/23.86 tff(31255,plain,
% 35.26/23.86 ((~v159(constB6)) | v186(constB6)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31254, 23879, 31248])).
% 35.26/23.86 tff(31256,plain,
% 35.26/23.86 (~v159(constB6)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31255, 31227])).
% 35.26/23.86 tff(31257,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31258,plain,
% 35.26/23.86 (((~nextState(constB6, constB7)) | v1(constB7) | (~v180(constB7))) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31259,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB6, constB7)) | v1(constB7) | (~v180(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7))))),
% 35.26/23.86 inference(monotonicity,[status(thm)],[31258])).
% 35.26/23.86 tff(31260,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB6, constB7)) | v1(constB7) | (~v180(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7)))),
% 35.26/23.86 inference(transitivity,[status(thm)],[31259, 31257])).
% 35.26/23.86 tff(31261,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB6, constB7)) | v1(constB7) | (~v180(constB7)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31262,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31261, 31260])).
% 35.26/23.86 tff(31263,plain,
% 35.26/23.86 (~v180(constB7)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31262, 23900, 1373, 1370])).
% 35.26/23.86 tff(31264,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31265,plain,
% 35.26/23.86 (((~nextState(constB6, constB7)) | (~v179(constB7)) | v180(constB7)) <=> ((~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31266,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB6, constB7)) | (~v179(constB7)) | v180(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7))))),
% 35.26/23.86 inference(monotonicity,[status(thm)],[31265])).
% 35.26/23.86 tff(31267,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB6, constB7)) | (~v179(constB7)) | v180(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7)))),
% 35.26/23.86 inference(transitivity,[status(thm)],[31266, 31264])).
% 35.26/23.86 tff(31268,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB6, constB7)) | (~v179(constB7)) | v180(constB7))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31269,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31268, 31267])).
% 35.26/23.86 tff(31270,plain,
% 35.26/23.86 (v180(constB7) | (~v179(constB7))),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31269, 23917, 1373])).
% 35.26/23.86 tff(31271,plain,
% 35.26/23.86 (~v179(constB7)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31270, 31263])).
% 35.26/23.86 tff(31272,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31273,plain,
% 35.26/23.86 (((~nextState(constB6, constB7)) | v179(constB7) | v159(constB6) | (~v159(constB7))) <=> (v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31274,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB6, constB7)) | v179(constB7) | v159(constB6) | (~v159(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7))))),
% 35.26/23.86 inference(monotonicity,[status(thm)],[31273])).
% 35.26/23.86 tff(31275,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB6, constB7)) | v179(constB7) | v159(constB6) | (~v159(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7)))),
% 35.26/23.86 inference(transitivity,[status(thm)],[31274, 31272])).
% 35.26/23.86 tff(31276,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB6, constB7)) | v179(constB7) | v159(constB6) | (~v159(constB7)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31277,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31276, 31275])).
% 35.26/23.86 tff(31278,plain,
% 35.26/23.86 (v159(constB6) | v179(constB7) | (~v159(constB7))),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31277, 23935, 1373])).
% 35.26/23.86 tff(31279,plain,
% 35.26/23.86 (v159(constB6) | (~v159(constB7))),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31278, 31271])).
% 35.26/23.86 tff(31280,plain,
% 35.26/23.86 (~v159(constB7)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31279, 31256])).
% 35.26/23.86 tff(31281,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB7) | (~v201(constB7)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB7) | (~v201(constB7)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31282,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB7) | (~v201(constB7)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31283,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB7) | (~v201(constB7))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31282, 31281])).
% 35.26/23.86 tff(31284,plain,
% 35.26/23.86 (~v201(constB7)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31283, 23951, 31280])).
% 35.26/23.86 tff(31285,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB7) | (~v200(constB7)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB7) | (~v200(constB7)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31286,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB7) | (~v200(constB7)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31287,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB7) | (~v200(constB7))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31286, 31285])).
% 35.26/23.86 tff(31288,plain,
% 35.26/23.86 (~v200(constB7)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31287, 23697, 31284])).
% 35.26/23.86 tff(31289,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB7) | (~v198(constB7)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB7) | (~v198(constB7)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31290,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB7) | (~v198(constB7)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31291,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB7) | (~v198(constB7))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31290, 31289])).
% 35.26/23.86 tff(31292,plain,
% 35.26/23.86 (~v198(constB7)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31291, 23708, 31288])).
% 35.26/23.86 tff(31293,assumption,(v18(constB8)), introduced(assumption)).
% 35.26/23.86 tff(31294,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB8))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31295,plain,
% 35.26/23.86 ($false),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31294, 8, 31293])).
% 35.26/23.86 tff(31296,plain,(~v18(constB8)), inference(lemma,lemma(discharge,[]))).
% 35.26/23.86 tff(31297,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31298,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31299,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31298, 31297])).
% 35.26/23.86 tff(31300,plain,
% 35.26/23.86 (v22(constB8)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31299, 21, 1551])).
% 35.26/23.86 tff(31301,plain,
% 35.26/23.86 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB8)) | (~v22(constB8)) | v18(constB8))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB8)) | (~v22(constB8)) | v18(constB8))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31302,plain,
% 35.26/23.86 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB8)) | (~v22(constB8)) | v18(constB8))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31303,plain,
% 35.26/23.86 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB8)) | (~v22(constB8)) | v18(constB8)),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31302, 31301])).
% 35.26/23.86 tff(31304,plain,
% 35.26/23.86 ((~v19(constB8)) | v18(constB8)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31303, 35, 31300])).
% 35.26/23.86 tff(31305,plain,
% 35.26/23.86 (~v19(constB8)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31304, 31296])).
% 35.26/23.86 tff(31306,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31307,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31308,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8)),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31307, 31306])).
% 35.26/23.86 tff(31309,plain,
% 35.26/23.86 (v13(constB8)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31308, 50, 31305])).
% 35.26/23.86 tff(31310,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31311,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31312,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7)),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31311, 31310])).
% 35.26/23.86 tff(31313,plain,
% 35.26/23.86 ((~v13(constB8)) | v9(constB7)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31312, 67, 1528])).
% 35.26/23.86 tff(31314,plain,
% 35.26/23.86 (v9(constB7)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31313, 31309])).
% 35.26/23.86 tff(31315,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v197(constB7))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB7) | (~v9(constB7)) | v197(constB7))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31316,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v197(constB7))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31317,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB7) | (~v9(constB7)) | v197(constB7)),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31316, 31315])).
% 35.26/23.86 tff(31318,plain,
% 35.26/23.86 ((~v9(constB7)) | v197(constB7)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31317, 85, 1370])).
% 35.26/23.86 tff(31319,plain,
% 35.26/23.86 (v197(constB7)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31318, 31314])).
% 35.26/23.86 tff(31320,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB7) | (~v197(constB7)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB7) | (~v197(constB7)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31321,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB7) | (~v197(constB7)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31322,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB7) | (~v197(constB7))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31321, 31320])).
% 35.26/23.86 tff(31323,plain,
% 35.26/23.86 (v196(constB7)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31322, 97, 31319])).
% 35.26/23.86 tff(31324,plain,
% 35.26/23.86 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB7)) | (~v196(constB7)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB7)) | (~v196(constB7)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31325,plain,
% 35.26/23.86 (((~v196(constB7)) | (~v194(constB7))) <=> ((~v194(constB7)) | (~v196(constB7)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31326,plain,
% 35.26/23.86 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB7)) | (~v194(constB7)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB7)) | (~v196(constB7))))),
% 35.26/23.86 inference(monotonicity,[status(thm)],[31325])).
% 35.26/23.86 tff(31327,plain,
% 35.26/23.86 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB7)) | (~v194(constB7)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB7)) | (~v196(constB7)))),
% 35.26/23.86 inference(transitivity,[status(thm)],[31326, 31324])).
% 35.26/23.86 tff(31328,plain,
% 35.26/23.86 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB7)) | (~v194(constB7)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31329,plain,
% 35.26/23.86 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB7)) | (~v196(constB7))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31328, 31327])).
% 35.26/23.86 tff(31330,plain,
% 35.26/23.86 (~v194(constB7)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31329, 108, 31323])).
% 35.26/23.86 tff(31331,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB7) | v198(constB7) | (~v191(constB7)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB7) | v198(constB7) | (~v191(constB7)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31332,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB7) | v198(constB7) | (~v191(constB7)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31333,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB7) | v198(constB7) | (~v191(constB7))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31332, 31331])).
% 35.26/23.86 tff(31334,plain,
% 35.26/23.86 (v198(constB7) | (~v191(constB7))),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31333, 23722, 31330])).
% 35.26/23.86 tff(31335,plain,
% 35.26/23.86 (~v191(constB7)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31334, 31292])).
% 35.26/23.86 tff(31336,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB7, constB8)) | v191(constB7) | (~v193(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB7, constB8)) | v191(constB7) | (~v193(constB8)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31337,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB7, constB8)) | v191(constB7) | (~v193(constB8)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31338,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB7, constB8)) | v191(constB7) | (~v193(constB8))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31337, 31336])).
% 35.26/23.86 tff(31339,plain,
% 35.26/23.86 (v191(constB7) | (~v193(constB8))),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31338, 23737, 1528])).
% 35.26/23.86 tff(31340,plain,
% 35.26/23.86 (~v193(constB8)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31339, 31335])).
% 35.26/23.86 tff(31341,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB8) | (~v194(constB8)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB8) | (~v194(constB8)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31342,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB8) | (~v194(constB8)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31343,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB8) | (~v194(constB8))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31342, 31341])).
% 35.26/23.86 tff(31344,plain,
% 35.26/23.86 (~v194(constB8)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31343, 23749, 31340])).
% 35.26/23.86 tff(31345,plain,
% 35.26/23.86 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB8)) | (~v197(constB8)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB8)) | (~v197(constB8)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31346,plain,
% 35.26/23.86 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB8)) | (~v197(constB8)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31347,plain,
% 35.26/23.86 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB8)) | (~v197(constB8))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31346, 31345])).
% 35.26/23.86 tff(31348,plain,
% 35.26/23.86 (~v197(constB8)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31347, 23760, 1551])).
% 35.26/23.86 tff(31349,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB8) | (~v200(constB8)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB8) | (~v200(constB8)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31350,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB8) | (~v200(constB8)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31351,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB8) | (~v200(constB8))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31350, 31349])).
% 35.26/23.86 tff(31352,plain,
% 35.26/23.86 (~v200(constB8)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31351, 23771, 31348])).
% 35.26/23.86 tff(31353,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB8) | (~v198(constB8)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB8) | (~v198(constB8)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31354,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB8) | (~v198(constB8)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31355,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB8) | (~v198(constB8))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31354, 31353])).
% 35.26/23.86 tff(31356,plain,
% 35.26/23.86 (~v198(constB8)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31355, 23708, 31352])).
% 35.26/23.86 tff(31357,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB8) | v198(constB8) | (~v191(constB8)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB8) | v198(constB8) | (~v191(constB8)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31358,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB8) | v198(constB8) | (~v191(constB8)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31359,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB8) | v198(constB8) | (~v191(constB8))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31358, 31357])).
% 35.26/23.86 tff(31360,plain,
% 35.26/23.86 (v194(constB8) | (~v191(constB8))),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31359, 23722, 31356])).
% 35.26/23.86 tff(31361,plain,
% 35.26/23.86 (~v191(constB8)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31360, 31344])).
% 35.26/23.86 tff(31362,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB8, constB9)) | v191(constB8) | (~v193(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB8, constB9)) | v191(constB8) | (~v193(constB9)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31363,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB8, constB9)) | v191(constB8) | (~v193(constB9)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31364,plain,
% 35.26/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB8, constB9)) | v191(constB8) | (~v193(constB9))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31363, 31362])).
% 35.26/23.86 tff(31365,plain,
% 35.26/23.86 (v191(constB8) | (~v193(constB9))),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31364, 23737, 1636])).
% 35.26/23.86 tff(31366,plain,
% 35.26/23.86 (~v193(constB9)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31365, 31361])).
% 35.26/23.86 tff(31367,plain,
% 35.26/23.86 ($false),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31366, 31177])).
% 35.26/23.86 tff(31368,plain,(~(constB9 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.26/23.86 tff(31369,assumption,(constB190 = sK0_VarCurr), introduced(assumption)).
% 35.26/23.86 tff(31370,plain,
% 35.26/23.86 (v1(constB190) <=> v1(sK0_VarCurr)),
% 35.26/23.86 inference(monotonicity,[status(thm)],[31369])).
% 35.26/23.86 tff(31371,plain,
% 35.26/23.86 (v1(sK0_VarCurr) <=> v1(constB190)),
% 35.26/23.86 inference(symmetry,[status(thm)],[31370])).
% 35.26/23.86 tff(31372,plain,
% 35.26/23.86 ((~v1(sK0_VarCurr)) <=> (~v1(constB190))),
% 35.26/23.86 inference(monotonicity,[status(thm)],[31371])).
% 35.26/23.86 tff(31373,plain,
% 35.26/23.86 (~v1(constB190)),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[29884, 31372])).
% 35.26/23.86 tff(31374,plain,
% 35.26/23.86 ($false),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[28899, 31373])).
% 35.26/23.86 tff(31375,plain,(~(constB190 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.26/23.86 tff(31376,assumption,(constB51 = sK0_VarCurr), introduced(assumption)).
% 35.26/23.86 tff(31377,plain,
% 35.26/23.86 (v193(constB51) <=> v193(sK0_VarCurr)),
% 35.26/23.86 inference(monotonicity,[status(thm)],[31376])).
% 35.26/23.86 tff(31378,plain,
% 35.26/23.86 (v193(sK0_VarCurr) <=> v193(constB51)),
% 35.26/23.86 inference(symmetry,[status(thm)],[31377])).
% 35.26/23.86 tff(31379,plain,
% 35.26/23.86 (v193(constB51)),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[24025, 31378])).
% 35.26/23.86 tff(31380,plain,
% 35.26/23.86 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB49)) | (~v170(constB49)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB49)) | (~v170(constB49)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31381,plain,
% 35.26/23.86 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB49)) | (~v170(constB49)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31382,plain,
% 35.26/23.86 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB49)) | (~v170(constB49))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31381, 31380])).
% 35.26/23.86 tff(31383,plain,
% 35.26/23.86 (~v170(constB49)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31382, 23647, 29596])).
% 35.26/23.86 tff(31384,plain,
% 35.26/23.86 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB49)) | v170(constB49) | (~v166(constB49)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB49)) | v170(constB49) | (~v166(constB49)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31385,plain,
% 35.26/23.86 (((~v166(constB49)) | v170(constB49) | (~v163(constB49))) <=> ((~v163(constB49)) | v170(constB49) | (~v166(constB49)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31386,plain,
% 35.26/23.86 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB49)) | v170(constB49) | (~v163(constB49)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB49)) | v170(constB49) | (~v166(constB49))))),
% 35.26/23.86 inference(monotonicity,[status(thm)],[31385])).
% 35.26/23.86 tff(31387,plain,
% 35.26/23.86 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB49)) | v170(constB49) | (~v163(constB49)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB49)) | v170(constB49) | (~v166(constB49)))),
% 35.26/23.86 inference(transitivity,[status(thm)],[31386, 31384])).
% 35.26/23.86 tff(31388,plain,
% 35.26/23.86 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB49)) | v170(constB49) | (~v163(constB49)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31389,plain,
% 35.26/23.86 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB49)) | v170(constB49) | (~v166(constB49))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31388, 31387])).
% 35.26/23.86 tff(31390,plain,
% 35.26/23.86 (~v163(constB49)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31389, 23672, 29600, 31383])).
% 35.26/23.86 tff(31391,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB49) | (~v201(constB49)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB49) | (~v201(constB49)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31392,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB49) | (~v201(constB49)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31393,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB49) | (~v201(constB49))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31392, 31391])).
% 35.26/23.86 tff(31394,plain,
% 35.26/23.86 (~v201(constB49)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31393, 23686, 31390])).
% 35.26/23.86 tff(31395,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB49) | (~v200(constB49)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB49) | (~v200(constB49)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31396,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB49) | (~v200(constB49)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31397,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB49) | (~v200(constB49))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31396, 31395])).
% 35.26/23.86 tff(31398,plain,
% 35.26/23.86 (~v200(constB49)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31397, 23697, 31394])).
% 35.26/23.86 tff(31399,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB49) | (~v198(constB49)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB49) | (~v198(constB49)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31400,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB49) | (~v198(constB49)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31401,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB49) | (~v198(constB49))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31400, 31399])).
% 35.26/23.86 tff(31402,plain,
% 35.26/23.86 (~v198(constB49)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31401, 23708, 31398])).
% 35.26/23.86 tff(31403,assumption,(v18(constB50)), introduced(assumption)).
% 35.26/23.86 tff(31404,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB50))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31405,plain,
% 35.26/23.86 ($false),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31404, 8, 31403])).
% 35.26/23.86 tff(31406,plain,(~v18(constB50)), inference(lemma,lemma(discharge,[]))).
% 35.26/23.86 tff(31407,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50)))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31408,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31409,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50))),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31408, 31407])).
% 35.26/23.86 tff(31410,plain,
% 35.26/23.86 (v22(constB50)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31409, 21, 8761])).
% 35.26/23.86 tff(31411,plain,
% 35.26/23.86 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB50)) | (~v22(constB50)) | v18(constB50))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB50)) | (~v22(constB50)) | v18(constB50))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31412,plain,
% 35.26/23.86 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB50)) | (~v22(constB50)) | v18(constB50))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31413,plain,
% 35.26/23.86 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB50)) | (~v22(constB50)) | v18(constB50)),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31412, 31411])).
% 35.26/23.86 tff(31414,plain,
% 35.26/23.86 ((~v19(constB50)) | v18(constB50)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31413, 35, 31410])).
% 35.26/23.86 tff(31415,plain,
% 35.26/23.86 (~v19(constB50)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31414, 31406])).
% 35.26/23.86 tff(31416,plain,
% 35.26/23.86 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50))),
% 35.26/23.86 inference(rewrite,[status(thm)],[])).
% 35.26/23.86 tff(31417,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))),
% 35.26/23.86 inference(quant_inst,[status(thm)],[])).
% 35.26/23.86 tff(31418,plain,
% 35.26/23.86 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50)),
% 35.26/23.86 inference(modus_ponens,[status(thm)],[31417, 31416])).
% 35.26/23.86 tff(31419,plain,
% 35.26/23.86 (v13(constB50)),
% 35.26/23.86 inference(unit_resolution,[status(thm)],[31418, 50, 31415])).
% 35.26/23.86 tff(31420,plain,
% 35.26/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31421,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31422,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49)),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31421, 31420])).
% 35.26/23.87 tff(31423,plain,
% 35.26/23.87 ((~v13(constB50)) | v9(constB49)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31422, 67, 8671])).
% 35.26/23.87 tff(31424,plain,
% 35.26/23.87 (v9(constB49)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31423, 31419])).
% 35.26/23.87 tff(31425,plain,
% 35.26/23.87 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v197(constB49))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB49) | (~v9(constB49)) | v197(constB49))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31426,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v197(constB49))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31427,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB49) | (~v9(constB49)) | v197(constB49)),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31426, 31425])).
% 35.26/23.87 tff(31428,plain,
% 35.26/23.87 ((~v9(constB49)) | v197(constB49)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31427, 85, 8570])).
% 35.26/23.87 tff(31429,plain,
% 35.26/23.87 (v197(constB49)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31428, 31424])).
% 35.26/23.87 tff(31430,plain,
% 35.26/23.87 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB49) | (~v197(constB49)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB49) | (~v197(constB49)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31431,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB49) | (~v197(constB49)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31432,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB49) | (~v197(constB49))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31431, 31430])).
% 35.26/23.87 tff(31433,plain,
% 35.26/23.87 (v196(constB49)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31432, 97, 31429])).
% 35.26/23.87 tff(31434,plain,
% 35.26/23.87 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB49)) | (~v196(constB49)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB49)) | (~v196(constB49)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31435,plain,
% 35.26/23.87 (((~v196(constB49)) | (~v194(constB49))) <=> ((~v194(constB49)) | (~v196(constB49)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31436,plain,
% 35.26/23.87 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB49)) | (~v194(constB49)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB49)) | (~v196(constB49))))),
% 35.26/23.87 inference(monotonicity,[status(thm)],[31435])).
% 35.26/23.87 tff(31437,plain,
% 35.26/23.87 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB49)) | (~v194(constB49)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB49)) | (~v196(constB49)))),
% 35.26/23.87 inference(transitivity,[status(thm)],[31436, 31434])).
% 35.26/23.87 tff(31438,plain,
% 35.26/23.87 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB49)) | (~v194(constB49)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31439,plain,
% 35.26/23.87 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB49)) | (~v196(constB49))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31438, 31437])).
% 35.26/23.87 tff(31440,plain,
% 35.26/23.87 (~v194(constB49)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31439, 108, 31433])).
% 35.26/23.87 tff(31441,plain,
% 35.26/23.87 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB49) | v198(constB49) | (~v191(constB49)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB49) | v198(constB49) | (~v191(constB49)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31442,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB49) | v198(constB49) | (~v191(constB49)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31443,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB49) | v198(constB49) | (~v191(constB49))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31442, 31441])).
% 35.26/23.87 tff(31444,plain,
% 35.26/23.87 (v198(constB49) | (~v191(constB49))),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31443, 23722, 31440])).
% 35.26/23.87 tff(31445,plain,
% 35.26/23.87 (~v191(constB49)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31444, 31402])).
% 35.26/23.87 tff(31446,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB49, constB50)) | v191(constB49) | (~v193(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB49, constB50)) | v191(constB49) | (~v193(constB50)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31447,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB49, constB50)) | v191(constB49) | (~v193(constB50)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31448,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB49, constB50)) | v191(constB49) | (~v193(constB50))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31447, 31446])).
% 35.26/23.87 tff(31449,plain,
% 35.26/23.87 (v191(constB49) | (~v193(constB50))),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31448, 23737, 8671])).
% 35.26/23.87 tff(31450,plain,
% 35.26/23.87 (~v193(constB50)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31449, 31445])).
% 35.26/23.87 tff(31451,plain,
% 35.26/23.87 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB50) | (~v194(constB50)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB50) | (~v194(constB50)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31452,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB50) | (~v194(constB50)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31453,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB50) | (~v194(constB50))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31452, 31451])).
% 35.26/23.87 tff(31454,plain,
% 35.26/23.87 (~v194(constB50)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31453, 23749, 31450])).
% 35.26/23.87 tff(31455,plain,
% 35.26/23.87 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB50)) | (~v197(constB50)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB50)) | (~v197(constB50)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31456,plain,
% 35.26/23.87 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB50)) | (~v197(constB50)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31457,plain,
% 35.26/23.87 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB50)) | (~v197(constB50))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31456, 31455])).
% 35.26/23.87 tff(31458,plain,
% 35.26/23.87 (~v197(constB50)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31457, 23760, 8761])).
% 35.26/23.87 tff(31459,plain,
% 35.26/23.87 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB50) | (~v200(constB50)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB50) | (~v200(constB50)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31460,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB50) | (~v200(constB50)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31461,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB50) | (~v200(constB50))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31460, 31459])).
% 35.26/23.87 tff(31462,plain,
% 35.26/23.87 (~v200(constB50)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31461, 23771, 31458])).
% 35.26/23.87 tff(31463,plain,
% 35.26/23.87 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB50) | (~v198(constB50)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB50) | (~v198(constB50)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31464,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB50) | (~v198(constB50)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31465,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB50) | (~v198(constB50))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31464, 31463])).
% 35.26/23.87 tff(31466,plain,
% 35.26/23.87 (~v198(constB50)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31465, 23708, 31462])).
% 35.26/23.87 tff(31467,plain,
% 35.26/23.87 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB50) | v198(constB50) | (~v191(constB50)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB50) | v198(constB50) | (~v191(constB50)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31468,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB50) | v198(constB50) | (~v191(constB50)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31469,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB50) | v198(constB50) | (~v191(constB50))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31468, 31467])).
% 35.26/23.87 tff(31470,plain,
% 35.26/23.87 (v194(constB50) | (~v191(constB50))),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31469, 23722, 31466])).
% 35.26/23.87 tff(31471,plain,
% 35.26/23.87 (~v191(constB50)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31470, 31454])).
% 35.26/23.87 tff(31472,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB50, constB51)) | v191(constB50) | (~v193(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB50, constB51)) | v191(constB50) | (~v193(constB51)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31473,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB50, constB51)) | v191(constB50) | (~v193(constB51)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31474,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB50, constB51)) | v191(constB50) | (~v193(constB51))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31473, 31472])).
% 35.26/23.87 tff(31475,plain,
% 35.26/23.87 (v191(constB50) | (~v193(constB51))),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31474, 23737, 8791])).
% 35.26/23.87 tff(31476,plain,
% 35.26/23.87 (~v193(constB51)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31475, 31471])).
% 35.26/23.87 tff(31477,plain,
% 35.26/23.87 ($false),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31476, 31379])).
% 35.26/23.87 tff(31478,plain,(~(constB51 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.26/23.87 tff(31479,assumption,(constB77 = sK0_VarCurr), introduced(assumption)).
% 35.26/23.87 tff(31480,plain,
% 35.26/23.87 (v193(constB77) <=> v193(sK0_VarCurr)),
% 35.26/23.87 inference(monotonicity,[status(thm)],[31479])).
% 35.26/23.87 tff(31481,plain,
% 35.26/23.87 (v193(sK0_VarCurr) <=> v193(constB77)),
% 35.26/23.87 inference(symmetry,[status(thm)],[31480])).
% 35.26/23.87 tff(31482,plain,
% 35.26/23.87 (v193(constB77)),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[24025, 31481])).
% 35.26/23.87 tff(31483,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB73) | (~nextState(constB73, constB74)) | (~v186(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB73) | (~nextState(constB73, constB74)) | (~v186(constB74)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31484,plain,
% 35.26/23.87 (((~nextState(constB73, constB74)) | v163(constB73) | (~v186(constB74))) <=> (v163(constB73) | (~nextState(constB73, constB74)) | (~v186(constB74)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31485,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB73, constB74)) | v163(constB73) | (~v186(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB73) | (~nextState(constB73, constB74)) | (~v186(constB74))))),
% 35.26/23.87 inference(monotonicity,[status(thm)],[31484])).
% 35.26/23.87 tff(31486,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB73, constB74)) | v163(constB73) | (~v186(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB73) | (~nextState(constB73, constB74)) | (~v186(constB74)))),
% 35.26/23.87 inference(transitivity,[status(thm)],[31485, 31483])).
% 35.26/23.87 tff(31487,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB73, constB74)) | v163(constB73) | (~v186(constB74)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31488,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB73) | (~nextState(constB73, constB74)) | (~v186(constB74))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31487, 31486])).
% 35.26/23.87 tff(31489,plain,
% 35.26/23.87 (v163(constB73) | (~v186(constB74))),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31488, 23806, 11390])).
% 35.26/23.87 tff(31490,plain,
% 35.26/23.87 (~v186(constB74)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31489, 29902])).
% 35.26/23.87 tff(31491,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB73, constB74)) | v181(constB74) | v104(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB73, constB74)) | v181(constB74) | v104(constB74))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31492,plain,
% 35.26/23.87 (((~nextState(constB73, constB74)) | v104(constB74) | v181(constB74)) <=> ((~nextState(constB73, constB74)) | v181(constB74) | v104(constB74))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31493,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | v181(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB73, constB74)) | v181(constB74) | v104(constB74)))),
% 35.26/23.87 inference(monotonicity,[status(thm)],[31492])).
% 35.26/23.87 tff(31494,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | v181(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB73, constB74)) | v181(constB74) | v104(constB74))),
% 35.26/23.87 inference(transitivity,[status(thm)],[31493, 31491])).
% 35.26/23.87 tff(31495,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | v181(constB74))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31496,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB73, constB74)) | v181(constB74) | v104(constB74)),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31495, 31494])).
% 35.26/23.87 tff(31497,plain,
% 35.26/23.87 (v181(constB74) | v104(constB74)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31496, 23828, 11390])).
% 35.26/23.87 tff(31498,plain,
% 35.26/23.87 (v181(constB74)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31497, 11402])).
% 35.26/23.87 tff(31499,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB73, constB74)) | v180(constB74) | (~v1(constB74)) | (~v181(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB73, constB74)) | v180(constB74) | (~v1(constB74)) | (~v181(constB74)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31500,plain,
% 35.26/23.87 (((~nextState(constB73, constB74)) | (~v1(constB74)) | v180(constB74) | (~v181(constB74))) <=> ((~nextState(constB73, constB74)) | v180(constB74) | (~v1(constB74)) | (~v181(constB74)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31501,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB73, constB74)) | (~v1(constB74)) | v180(constB74) | (~v181(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB73, constB74)) | v180(constB74) | (~v1(constB74)) | (~v181(constB74))))),
% 35.26/23.87 inference(monotonicity,[status(thm)],[31500])).
% 35.26/23.87 tff(31502,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB73, constB74)) | (~v1(constB74)) | v180(constB74) | (~v181(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB73, constB74)) | v180(constB74) | (~v1(constB74)) | (~v181(constB74)))),
% 35.26/23.87 inference(transitivity,[status(thm)],[31501, 31499])).
% 35.26/23.87 tff(31503,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB73, constB74)) | (~v1(constB74)) | v180(constB74) | (~v181(constB74)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31504,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB73, constB74)) | v180(constB74) | (~v1(constB74)) | (~v181(constB74))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31503, 31502])).
% 35.26/23.87 tff(31505,plain,
% 35.26/23.87 (v180(constB74) | (~v181(constB74))),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31504, 23846, 11390, 11413])).
% 35.26/23.87 tff(31506,plain,
% 35.26/23.87 (v180(constB74)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31505, 31498])).
% 35.26/23.87 tff(31507,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB73, constB74)) | v179(constB74) | (~v180(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB73, constB74)) | v179(constB74) | (~v180(constB74)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31508,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB73, constB74)) | v179(constB74) | (~v180(constB74)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31509,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB73, constB74)) | v179(constB74) | (~v180(constB74))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31508, 31507])).
% 35.26/23.87 tff(31510,plain,
% 35.26/23.87 (v179(constB74) | (~v180(constB74))),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31509, 23864, 11390])).
% 35.26/23.87 tff(31511,plain,
% 35.26/23.87 (v179(constB74)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31510, 31506])).
% 35.26/23.87 tff(31512,plain,
% 35.26/23.87 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB74)) | v186(constB74) | (~v179(constB74)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB74)) | v186(constB74) | (~v179(constB74)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31513,plain,
% 35.26/23.87 (((~v179(constB74)) | (~v159(constB74)) | v186(constB74)) <=> ((~v159(constB74)) | v186(constB74) | (~v179(constB74)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31514,plain,
% 35.26/23.87 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB74)) | (~v159(constB74)) | v186(constB74))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB74)) | v186(constB74) | (~v179(constB74))))),
% 35.26/23.87 inference(monotonicity,[status(thm)],[31513])).
% 35.26/23.87 tff(31515,plain,
% 35.26/23.87 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB74)) | (~v159(constB74)) | v186(constB74))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB74)) | v186(constB74) | (~v179(constB74)))),
% 35.26/23.87 inference(transitivity,[status(thm)],[31514, 31512])).
% 35.26/23.87 tff(31516,plain,
% 35.26/23.87 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB74)) | (~v159(constB74)) | v186(constB74))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31517,plain,
% 35.26/23.87 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB74)) | v186(constB74) | (~v179(constB74))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31516, 31515])).
% 35.26/23.87 tff(31518,plain,
% 35.26/23.87 ((~v159(constB74)) | v186(constB74)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31517, 23879, 31511])).
% 35.26/23.87 tff(31519,plain,
% 35.26/23.87 (~v159(constB74)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31518, 31490])).
% 35.26/23.87 tff(31520,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v180(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v180(constB75)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31521,plain,
% 35.26/23.87 (((~nextState(constB74, constB75)) | v1(constB75) | (~v180(constB75))) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v180(constB75)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31522,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB74, constB75)) | v1(constB75) | (~v180(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v180(constB75))))),
% 35.26/23.87 inference(monotonicity,[status(thm)],[31521])).
% 35.26/23.87 tff(31523,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB74, constB75)) | v1(constB75) | (~v180(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v180(constB75)))),
% 35.26/23.87 inference(transitivity,[status(thm)],[31522, 31520])).
% 35.26/23.87 tff(31524,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB74, constB75)) | v1(constB75) | (~v180(constB75)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31525,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v180(constB75))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31524, 31523])).
% 35.26/23.87 tff(31526,plain,
% 35.26/23.87 (~v180(constB75)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31525, 23900, 11488, 11485])).
% 35.26/23.87 tff(31527,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB74, constB75)) | v180(constB75) | (~v179(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB74, constB75)) | v180(constB75) | (~v179(constB75)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31528,plain,
% 35.26/23.87 (((~nextState(constB74, constB75)) | (~v179(constB75)) | v180(constB75)) <=> ((~nextState(constB74, constB75)) | v180(constB75) | (~v179(constB75)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31529,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB74, constB75)) | (~v179(constB75)) | v180(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB74, constB75)) | v180(constB75) | (~v179(constB75))))),
% 35.26/23.87 inference(monotonicity,[status(thm)],[31528])).
% 35.26/23.87 tff(31530,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB74, constB75)) | (~v179(constB75)) | v180(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB74, constB75)) | v180(constB75) | (~v179(constB75)))),
% 35.26/23.87 inference(transitivity,[status(thm)],[31529, 31527])).
% 35.26/23.87 tff(31531,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB74, constB75)) | (~v179(constB75)) | v180(constB75))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31532,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB74, constB75)) | v180(constB75) | (~v179(constB75))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31531, 31530])).
% 35.26/23.87 tff(31533,plain,
% 35.26/23.87 (v180(constB75) | (~v179(constB75))),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31532, 23917, 11488])).
% 35.26/23.87 tff(31534,plain,
% 35.26/23.87 (~v179(constB75)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31533, 31526])).
% 35.26/23.87 tff(31535,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB74) | (~nextState(constB74, constB75)) | v179(constB75) | (~v159(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB74) | (~nextState(constB74, constB75)) | v179(constB75) | (~v159(constB75)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31536,plain,
% 35.26/23.87 (((~nextState(constB74, constB75)) | v179(constB75) | v159(constB74) | (~v159(constB75))) <=> (v159(constB74) | (~nextState(constB74, constB75)) | v179(constB75) | (~v159(constB75)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31537,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB74, constB75)) | v179(constB75) | v159(constB74) | (~v159(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB74) | (~nextState(constB74, constB75)) | v179(constB75) | (~v159(constB75))))),
% 35.26/23.87 inference(monotonicity,[status(thm)],[31536])).
% 35.26/23.87 tff(31538,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB74, constB75)) | v179(constB75) | v159(constB74) | (~v159(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB74) | (~nextState(constB74, constB75)) | v179(constB75) | (~v159(constB75)))),
% 35.26/23.87 inference(transitivity,[status(thm)],[31537, 31535])).
% 35.26/23.87 tff(31539,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB74, constB75)) | v179(constB75) | v159(constB74) | (~v159(constB75)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31540,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB74) | (~nextState(constB74, constB75)) | v179(constB75) | (~v159(constB75))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31539, 31538])).
% 35.26/23.87 tff(31541,plain,
% 35.26/23.87 (v159(constB74) | v179(constB75) | (~v159(constB75))),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31540, 23935, 11488])).
% 35.26/23.87 tff(31542,plain,
% 35.26/23.87 (v159(constB74) | (~v159(constB75))),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31541, 31534])).
% 35.26/23.87 tff(31543,plain,
% 35.26/23.87 (~v159(constB75)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31542, 31519])).
% 35.26/23.87 tff(31544,plain,
% 35.26/23.87 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB75) | (~v201(constB75)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB75) | (~v201(constB75)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31545,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB75) | (~v201(constB75)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31546,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB75) | (~v201(constB75))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31545, 31544])).
% 35.26/23.87 tff(31547,plain,
% 35.26/23.87 (~v201(constB75)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31546, 23951, 31543])).
% 35.26/23.87 tff(31548,plain,
% 35.26/23.87 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB75) | (~v200(constB75)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB75) | (~v200(constB75)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31549,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB75) | (~v200(constB75)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31550,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB75) | (~v200(constB75))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31549, 31548])).
% 35.26/23.87 tff(31551,plain,
% 35.26/23.87 (~v200(constB75)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31550, 23697, 31547])).
% 35.26/23.87 tff(31552,plain,
% 35.26/23.87 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB75) | (~v198(constB75)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB75) | (~v198(constB75)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31553,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB75) | (~v198(constB75)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31554,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB75) | (~v198(constB75))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31553, 31552])).
% 35.26/23.87 tff(31555,plain,
% 35.26/23.87 (~v198(constB75)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31554, 23708, 31551])).
% 35.26/23.87 tff(31556,assumption,(v18(constB76)), introduced(assumption)).
% 35.26/23.87 tff(31557,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB76))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31558,plain,
% 35.26/23.87 ($false),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31557, 8, 31556])).
% 35.26/23.87 tff(31559,plain,(~v18(constB76)), inference(lemma,lemma(discharge,[]))).
% 35.26/23.87 tff(31560,plain,
% 35.26/23.87 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31561,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31562,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31561, 31560])).
% 35.26/23.87 tff(31563,plain,
% 35.26/23.87 (v22(constB76)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31562, 21, 11653])).
% 35.26/23.87 tff(31564,plain,
% 35.26/23.87 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB76)) | (~v22(constB76)) | v18(constB76))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB76)) | (~v22(constB76)) | v18(constB76))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31565,plain,
% 35.26/23.87 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB76)) | (~v22(constB76)) | v18(constB76))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31566,plain,
% 35.26/23.87 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB76)) | (~v22(constB76)) | v18(constB76)),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31565, 31564])).
% 35.26/23.87 tff(31567,plain,
% 35.26/23.87 ((~v19(constB76)) | v18(constB76)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31566, 35, 31563])).
% 35.26/23.87 tff(31568,plain,
% 35.26/23.87 (~v19(constB76)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31567, 31559])).
% 35.26/23.87 tff(31569,plain,
% 35.26/23.87 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31570,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31571,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76)),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31570, 31569])).
% 35.26/23.87 tff(31572,plain,
% 35.26/23.87 (v13(constB76)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31571, 50, 31568])).
% 35.26/23.87 tff(31573,plain,
% 35.26/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31574,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31575,plain,
% 35.26/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75)),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31574, 31573])).
% 35.26/23.87 tff(31576,plain,
% 35.26/23.87 ((~v13(constB76)) | v9(constB75)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31575, 67, 11630])).
% 35.26/23.87 tff(31577,plain,
% 35.26/23.87 (v9(constB75)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31576, 31572])).
% 35.26/23.87 tff(31578,plain,
% 35.26/23.87 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v197(constB75))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB75) | (~v9(constB75)) | v197(constB75))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31579,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v197(constB75))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31580,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB75) | (~v9(constB75)) | v197(constB75)),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31579, 31578])).
% 35.26/23.87 tff(31581,plain,
% 35.26/23.87 ((~v9(constB75)) | v197(constB75)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31580, 85, 11485])).
% 35.26/23.87 tff(31582,plain,
% 35.26/23.87 (v197(constB75)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31581, 31577])).
% 35.26/23.87 tff(31583,plain,
% 35.26/23.87 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB75) | (~v197(constB75)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB75) | (~v197(constB75)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31584,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB75) | (~v197(constB75)))),
% 35.26/23.87 inference(quant_inst,[status(thm)],[])).
% 35.26/23.87 tff(31585,plain,
% 35.26/23.87 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB75) | (~v197(constB75))),
% 35.26/23.87 inference(modus_ponens,[status(thm)],[31584, 31583])).
% 35.26/23.87 tff(31586,plain,
% 35.26/23.87 (v196(constB75)),
% 35.26/23.87 inference(unit_resolution,[status(thm)],[31585, 97, 31582])).
% 35.26/23.87 tff(31587,plain,
% 35.26/23.87 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB75)) | (~v196(constB75)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB75)) | (~v196(constB75)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31588,plain,
% 35.26/23.87 (((~v196(constB75)) | (~v194(constB75))) <=> ((~v194(constB75)) | (~v196(constB75)))),
% 35.26/23.87 inference(rewrite,[status(thm)],[])).
% 35.26/23.87 tff(31589,plain,
% 35.26/23.87 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB75)) | (~v194(constB75)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB75)) | (~v196(constB75))))),
% 35.26/23.87 inference(monotonicity,[status(thm)],[31588])).
% 35.26/23.87 tff(31590,plain,
% 35.26/23.87 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB75)) | (~v194(constB75)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB75)) | (~v196(constB75)))),
% 35.26/23.88 inference(transitivity,[status(thm)],[31589, 31587])).
% 35.26/23.88 tff(31591,plain,
% 35.26/23.88 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB75)) | (~v194(constB75)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31592,plain,
% 35.26/23.88 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB75)) | (~v196(constB75))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31591, 31590])).
% 35.26/23.88 tff(31593,plain,
% 35.26/23.88 (~v194(constB75)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31592, 108, 31586])).
% 35.26/23.88 tff(31594,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB75) | v198(constB75) | (~v191(constB75)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB75) | v198(constB75) | (~v191(constB75)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31595,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB75) | v198(constB75) | (~v191(constB75)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31596,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB75) | v198(constB75) | (~v191(constB75))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31595, 31594])).
% 35.26/23.88 tff(31597,plain,
% 35.26/23.88 (v198(constB75) | (~v191(constB75))),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31596, 23722, 31593])).
% 35.26/23.88 tff(31598,plain,
% 35.26/23.88 (~v191(constB75)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31597, 31555])).
% 35.26/23.88 tff(31599,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB75, constB76)) | v191(constB75) | (~v193(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB75, constB76)) | v191(constB75) | (~v193(constB76)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31600,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB75, constB76)) | v191(constB75) | (~v193(constB76)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31601,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB75, constB76)) | v191(constB75) | (~v193(constB76))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31600, 31599])).
% 35.26/23.88 tff(31602,plain,
% 35.26/23.88 (v191(constB75) | (~v193(constB76))),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31601, 23737, 11630])).
% 35.26/23.88 tff(31603,plain,
% 35.26/23.88 (~v193(constB76)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31602, 31598])).
% 35.26/23.88 tff(31604,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB76) | (~v194(constB76)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB76) | (~v194(constB76)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31605,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB76) | (~v194(constB76)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31606,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB76) | (~v194(constB76))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31605, 31604])).
% 35.26/23.88 tff(31607,plain,
% 35.26/23.88 (~v194(constB76)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31606, 23749, 31603])).
% 35.26/23.88 tff(31608,plain,
% 35.26/23.88 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB76)) | (~v197(constB76)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB76)) | (~v197(constB76)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31609,plain,
% 35.26/23.88 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB76)) | (~v197(constB76)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31610,plain,
% 35.26/23.88 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB76)) | (~v197(constB76))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31609, 31608])).
% 35.26/23.88 tff(31611,plain,
% 35.26/23.88 (~v197(constB76)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31610, 23760, 11653])).
% 35.26/23.88 tff(31612,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB76) | (~v200(constB76)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB76) | (~v200(constB76)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31613,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB76) | (~v200(constB76)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31614,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB76) | (~v200(constB76))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31613, 31612])).
% 35.26/23.88 tff(31615,plain,
% 35.26/23.88 (~v200(constB76)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31614, 23771, 31611])).
% 35.26/23.88 tff(31616,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB76) | (~v198(constB76)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB76) | (~v198(constB76)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31617,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB76) | (~v198(constB76)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31618,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB76) | (~v198(constB76))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31617, 31616])).
% 35.26/23.88 tff(31619,plain,
% 35.26/23.88 (~v198(constB76)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31618, 23708, 31615])).
% 35.26/23.88 tff(31620,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB76) | v198(constB76) | (~v191(constB76)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB76) | v198(constB76) | (~v191(constB76)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31621,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB76) | v198(constB76) | (~v191(constB76)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31622,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB76) | v198(constB76) | (~v191(constB76))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31621, 31620])).
% 35.26/23.88 tff(31623,plain,
% 35.26/23.88 (v194(constB76) | (~v191(constB76))),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31622, 23722, 31619])).
% 35.26/23.88 tff(31624,plain,
% 35.26/23.88 (~v191(constB76)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31623, 31607])).
% 35.26/23.88 tff(31625,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB76, constB77)) | v191(constB76) | (~v193(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB76, constB77)) | v191(constB76) | (~v193(constB77)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31626,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB76, constB77)) | v191(constB76) | (~v193(constB77)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31627,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB76, constB77)) | v191(constB76) | (~v193(constB77))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31626, 31625])).
% 35.26/23.88 tff(31628,plain,
% 35.26/23.88 (v191(constB76) | (~v193(constB77))),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31627, 23737, 11701])).
% 35.26/23.88 tff(31629,plain,
% 35.26/23.88 (~v193(constB77)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31628, 31624])).
% 35.26/23.88 tff(31630,plain,
% 35.26/23.88 ($false),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31629, 31482])).
% 35.26/23.88 tff(31631,plain,(~(constB77 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.26/23.88 tff(31632,assumption,(constB45 = sK0_VarCurr), introduced(assumption)).
% 35.26/23.88 tff(31633,plain,
% 35.26/23.88 (v193(constB45) <=> v193(sK0_VarCurr)),
% 35.26/23.88 inference(monotonicity,[status(thm)],[31632])).
% 35.26/23.88 tff(31634,plain,
% 35.26/23.88 (v193(sK0_VarCurr) <=> v193(constB45)),
% 35.26/23.88 inference(symmetry,[status(thm)],[31633])).
% 35.26/23.88 tff(31635,plain,
% 35.26/23.88 (v193(constB45)),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[24025, 31634])).
% 35.26/23.88 tff(31636,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB41, bitIndex2) | (~v88(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB41, bitIndex2) | (~v88(constB41, bitIndex2)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31637,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB41, bitIndex2) | (~v88(constB41, bitIndex2)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31638,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB41, bitIndex2) | (~v88(constB41, bitIndex2))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31637, 31636])).
% 35.26/23.88 tff(31639,plain,
% 35.26/23.88 (~v88(constB41, bitIndex2)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31638, 24075, 7655])).
% 35.26/23.88 tff(31640,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB41, bitIndex0) | (~v88(constB41, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB41, bitIndex0) | (~v88(constB41, bitIndex0)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31641,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB41, bitIndex0) | (~v88(constB41, bitIndex0)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31642,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB41, bitIndex0) | (~v88(constB41, bitIndex0))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31641, 31640])).
% 35.26/23.88 tff(31643,plain,
% 35.26/23.88 (~v88(constB41, bitIndex0)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31642, 23593, 7728])).
% 35.26/23.88 tff(31644,plain,
% 35.26/23.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31645,plain,
% 35.26/23.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31646,plain,
% 35.26/23.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1)),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31645, 31644])).
% 35.26/23.88 tff(31647,plain,
% 35.26/23.88 (v88(constB41, bitIndex1)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31646, 23528, 7686])).
% 35.26/23.88 tff(31648,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v143(constB41))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v143(constB41))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31649,plain,
% 35.26/23.88 ((v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0) | v143(constB41)) <=> (v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v143(constB41))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31650,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0) | v143(constB41))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v143(constB41)))),
% 35.26/23.88 inference(monotonicity,[status(thm)],[31649])).
% 35.26/23.88 tff(31651,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0) | v143(constB41))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v143(constB41))),
% 35.26/23.88 inference(transitivity,[status(thm)],[31650, 31648])).
% 35.26/23.88 tff(31652,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0) | v143(constB41))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31653,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v143(constB41)),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31652, 31651])).
% 35.26/23.88 tff(31654,plain,
% 35.26/23.88 (v143(constB41)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31653, 24097, 31647, 31643, 31639])).
% 35.26/23.88 tff(31655,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB41) | (~v143(constB41)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB41) | (~v143(constB41)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31656,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB41) | (~v143(constB41)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31657,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB41) | (~v143(constB41))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31656, 31655])).
% 35.26/23.88 tff(31658,plain,
% 35.26/23.88 (v142(constB41)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31657, 24111, 31654])).
% 35.26/23.88 tff(31659,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB41) | (~v142(constB41)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB41) | (~v142(constB41)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31660,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB41) | (~v142(constB41)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31661,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB41) | (~v142(constB41))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31660, 31659])).
% 35.26/23.88 tff(31662,plain,
% 35.26/23.88 (v167(constB41)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31661, 23633, 31658])).
% 35.26/23.88 tff(31663,plain,
% 35.26/23.88 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB41)) | (~v170(constB41)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB41)) | (~v170(constB41)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31664,plain,
% 35.26/23.88 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB41)) | (~v170(constB41)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31665,plain,
% 35.26/23.88 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB41)) | (~v170(constB41))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31664, 31663])).
% 35.26/23.88 tff(31666,plain,
% 35.26/23.88 (~v170(constB41)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31665, 23647, 31662])).
% 35.26/23.88 tff(31667,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB41) | (~v167(constB41)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB41) | (~v167(constB41)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31668,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB41) | (~v167(constB41)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31669,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB41) | (~v167(constB41))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31668, 31667])).
% 35.26/23.88 tff(31670,plain,
% 35.26/23.88 (v166(constB41)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31669, 23658, 31662])).
% 35.26/23.88 tff(31671,plain,
% 35.26/23.88 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB41)) | (~v166(constB41)) | v170(constB41))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB41)) | (~v166(constB41)) | v170(constB41))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31672,plain,
% 35.26/23.88 (((~v166(constB41)) | v170(constB41) | (~v163(constB41))) <=> ((~v163(constB41)) | (~v166(constB41)) | v170(constB41))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31673,plain,
% 35.26/23.88 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB41)) | v170(constB41) | (~v163(constB41)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB41)) | (~v166(constB41)) | v170(constB41)))),
% 35.26/23.88 inference(monotonicity,[status(thm)],[31672])).
% 35.26/23.88 tff(31674,plain,
% 35.26/23.88 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB41)) | v170(constB41) | (~v163(constB41)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB41)) | (~v166(constB41)) | v170(constB41))),
% 35.26/23.88 inference(transitivity,[status(thm)],[31673, 31671])).
% 35.26/23.88 tff(31675,plain,
% 35.26/23.88 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB41)) | v170(constB41) | (~v163(constB41)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31676,plain,
% 35.26/23.88 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB41)) | (~v166(constB41)) | v170(constB41)),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31675, 31674])).
% 35.26/23.88 tff(31677,plain,
% 35.26/23.88 (~v163(constB41)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31676, 23672, 31670, 31666])).
% 35.26/23.88 tff(31678,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31679,plain,
% 35.26/23.88 (((~nextState(constB41, constB42)) | v163(constB41) | (~v186(constB42))) <=> (v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31680,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB41, constB42)) | v163(constB41) | (~v186(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42))))),
% 35.26/23.88 inference(monotonicity,[status(thm)],[31679])).
% 35.26/23.88 tff(31681,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB41, constB42)) | v163(constB41) | (~v186(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42)))),
% 35.26/23.88 inference(transitivity,[status(thm)],[31680, 31678])).
% 35.26/23.88 tff(31682,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB41, constB42)) | v163(constB41) | (~v186(constB42)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31683,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31682, 31681])).
% 35.26/23.88 tff(31684,plain,
% 35.26/23.88 (v163(constB41) | (~v186(constB42))),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31683, 23806, 7768])).
% 35.26/23.88 tff(31685,plain,
% 35.26/23.88 (~v186(constB42)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31684, 31677])).
% 35.26/23.88 tff(31686,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB41, constB42)) | v181(constB42) | v104(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB41, constB42)) | v181(constB42) | v104(constB42))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31687,plain,
% 35.26/23.88 (((~nextState(constB41, constB42)) | v104(constB42) | v181(constB42)) <=> ((~nextState(constB41, constB42)) | v181(constB42) | v104(constB42))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31688,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v181(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB41, constB42)) | v181(constB42) | v104(constB42)))),
% 35.26/23.88 inference(monotonicity,[status(thm)],[31687])).
% 35.26/23.88 tff(31689,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v181(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB41, constB42)) | v181(constB42) | v104(constB42))),
% 35.26/23.88 inference(transitivity,[status(thm)],[31688, 31686])).
% 35.26/23.88 tff(31690,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v181(constB42))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31691,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB41, constB42)) | v181(constB42) | v104(constB42)),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31690, 31689])).
% 35.26/23.88 tff(31692,plain,
% 35.26/23.88 (v181(constB42) | v104(constB42)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31691, 23828, 7768])).
% 35.26/23.88 tff(31693,plain,
% 35.26/23.88 (v181(constB42)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31692, 7780])).
% 35.26/23.88 tff(31694,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31695,plain,
% 35.26/23.88 (((~nextState(constB41, constB42)) | (~v1(constB42)) | v180(constB42) | (~v181(constB42))) <=> ((~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31696,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v180(constB42) | (~v181(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42))))),
% 35.26/23.88 inference(monotonicity,[status(thm)],[31695])).
% 35.26/23.88 tff(31697,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v180(constB42) | (~v181(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42)))),
% 35.26/23.88 inference(transitivity,[status(thm)],[31696, 31694])).
% 35.26/23.88 tff(31698,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v180(constB42) | (~v181(constB42)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31699,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31698, 31697])).
% 35.26/23.88 tff(31700,plain,
% 35.26/23.88 (v180(constB42) | (~v181(constB42))),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31699, 23846, 7768, 7791])).
% 35.26/23.88 tff(31701,plain,
% 35.26/23.88 (v180(constB42)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31700, 31693])).
% 35.26/23.88 tff(31702,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB41, constB42)) | v179(constB42) | (~v180(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB41, constB42)) | v179(constB42) | (~v180(constB42)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31703,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB41, constB42)) | v179(constB42) | (~v180(constB42)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31704,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB41, constB42)) | v179(constB42) | (~v180(constB42))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31703, 31702])).
% 35.26/23.88 tff(31705,plain,
% 35.26/23.88 (v179(constB42) | (~v180(constB42))),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31704, 23864, 7768])).
% 35.26/23.88 tff(31706,plain,
% 35.26/23.88 (v179(constB42)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31705, 31701])).
% 35.26/23.88 tff(31707,plain,
% 35.26/23.88 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB42)) | v186(constB42) | (~v179(constB42)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB42)) | v186(constB42) | (~v179(constB42)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31708,plain,
% 35.26/23.88 (((~v179(constB42)) | (~v159(constB42)) | v186(constB42)) <=> ((~v159(constB42)) | v186(constB42) | (~v179(constB42)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31709,plain,
% 35.26/23.88 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB42)) | (~v159(constB42)) | v186(constB42))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB42)) | v186(constB42) | (~v179(constB42))))),
% 35.26/23.88 inference(monotonicity,[status(thm)],[31708])).
% 35.26/23.88 tff(31710,plain,
% 35.26/23.88 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB42)) | (~v159(constB42)) | v186(constB42))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB42)) | v186(constB42) | (~v179(constB42)))),
% 35.26/23.88 inference(transitivity,[status(thm)],[31709, 31707])).
% 35.26/23.88 tff(31711,plain,
% 35.26/23.88 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB42)) | (~v159(constB42)) | v186(constB42))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31712,plain,
% 35.26/23.88 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB42)) | v186(constB42) | (~v179(constB42))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31711, 31710])).
% 35.26/23.88 tff(31713,plain,
% 35.26/23.88 ((~v159(constB42)) | v186(constB42)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31712, 23879, 31706])).
% 35.26/23.88 tff(31714,plain,
% 35.26/23.88 (~v159(constB42)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31713, 31685])).
% 35.26/23.88 tff(31715,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31716,plain,
% 35.26/23.88 (((~nextState(constB42, constB43)) | v1(constB43) | (~v180(constB43))) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31717,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB42, constB43)) | v1(constB43) | (~v180(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43))))),
% 35.26/23.88 inference(monotonicity,[status(thm)],[31716])).
% 35.26/23.88 tff(31718,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB42, constB43)) | v1(constB43) | (~v180(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43)))),
% 35.26/23.88 inference(transitivity,[status(thm)],[31717, 31715])).
% 35.26/23.88 tff(31719,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB42, constB43)) | v1(constB43) | (~v180(constB43)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31720,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31719, 31718])).
% 35.26/23.88 tff(31721,plain,
% 35.26/23.88 (~v180(constB43)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31720, 23900, 7839, 7836])).
% 35.26/23.88 tff(31722,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31723,plain,
% 35.26/23.88 (((~nextState(constB42, constB43)) | (~v179(constB43)) | v180(constB43)) <=> ((~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31724,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB42, constB43)) | (~v179(constB43)) | v180(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43))))),
% 35.26/23.88 inference(monotonicity,[status(thm)],[31723])).
% 35.26/23.88 tff(31725,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB42, constB43)) | (~v179(constB43)) | v180(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43)))),
% 35.26/23.88 inference(transitivity,[status(thm)],[31724, 31722])).
% 35.26/23.88 tff(31726,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB42, constB43)) | (~v179(constB43)) | v180(constB43))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31727,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31726, 31725])).
% 35.26/23.88 tff(31728,plain,
% 35.26/23.88 (v180(constB43) | (~v179(constB43))),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31727, 23917, 7839])).
% 35.26/23.88 tff(31729,plain,
% 35.26/23.88 (~v179(constB43)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31728, 31721])).
% 35.26/23.88 tff(31730,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31731,plain,
% 35.26/23.88 (((~nextState(constB42, constB43)) | v179(constB43) | v159(constB42) | (~v159(constB43))) <=> (v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31732,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB42, constB43)) | v179(constB43) | v159(constB42) | (~v159(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43))))),
% 35.26/23.88 inference(monotonicity,[status(thm)],[31731])).
% 35.26/23.88 tff(31733,plain,
% 35.26/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB42, constB43)) | v179(constB43) | v159(constB42) | (~v159(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43)))),
% 35.26/23.88 inference(transitivity,[status(thm)],[31732, 31730])).
% 35.26/23.88 tff(31734,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB42, constB43)) | v179(constB43) | v159(constB42) | (~v159(constB43)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31735,plain,
% 35.26/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31734, 31733])).
% 35.26/23.88 tff(31736,plain,
% 35.26/23.88 (v159(constB42) | v179(constB43) | (~v159(constB43))),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31735, 23935, 7839])).
% 35.26/23.88 tff(31737,plain,
% 35.26/23.88 (v159(constB42) | (~v159(constB43))),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31736, 31729])).
% 35.26/23.88 tff(31738,plain,
% 35.26/23.88 (~v159(constB43)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31737, 31714])).
% 35.26/23.88 tff(31739,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB43) | (~v201(constB43)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB43) | (~v201(constB43)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31740,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB43) | (~v201(constB43)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31741,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB43) | (~v201(constB43))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31740, 31739])).
% 35.26/23.88 tff(31742,plain,
% 35.26/23.88 (~v201(constB43)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31741, 23951, 31738])).
% 35.26/23.88 tff(31743,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB43) | (~v200(constB43)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB43) | (~v200(constB43)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31744,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB43) | (~v200(constB43)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.88 tff(31745,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB43) | (~v200(constB43))),
% 35.26/23.88 inference(modus_ponens,[status(thm)],[31744, 31743])).
% 35.26/23.88 tff(31746,plain,
% 35.26/23.88 (~v200(constB43)),
% 35.26/23.88 inference(unit_resolution,[status(thm)],[31745, 23697, 31742])).
% 35.26/23.88 tff(31747,plain,
% 35.26/23.88 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB43) | (~v198(constB43)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB43) | (~v198(constB43)))),
% 35.26/23.88 inference(rewrite,[status(thm)],[])).
% 35.26/23.88 tff(31748,plain,
% 35.26/23.88 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB43) | (~v198(constB43)))),
% 35.26/23.88 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31749,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB43) | (~v198(constB43))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31748, 31747])).
% 35.26/23.89 tff(31750,plain,
% 35.26/23.89 (~v198(constB43)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31749, 23708, 31746])).
% 35.26/23.89 tff(31751,assumption,(v18(constB44)), introduced(assumption)).
% 35.26/23.89 tff(31752,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB44))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31753,plain,
% 35.26/23.89 ($false),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31752, 8, 31751])).
% 35.26/23.89 tff(31754,plain,(~v18(constB44)), inference(lemma,lemma(discharge,[]))).
% 35.26/23.89 tff(31755,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31756,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31757,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31756, 31755])).
% 35.26/23.89 tff(31758,plain,
% 35.26/23.89 (v22(constB44)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31757, 21, 7981])).
% 35.26/23.89 tff(31759,plain,
% 35.26/23.89 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB44)) | (~v22(constB44)) | v18(constB44))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB44)) | (~v22(constB44)) | v18(constB44))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31760,plain,
% 35.26/23.89 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB44)) | (~v22(constB44)) | v18(constB44))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31761,plain,
% 35.26/23.89 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB44)) | (~v22(constB44)) | v18(constB44)),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31760, 31759])).
% 35.26/23.89 tff(31762,plain,
% 35.26/23.89 ((~v19(constB44)) | v18(constB44)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31761, 35, 31758])).
% 35.26/23.89 tff(31763,plain,
% 35.26/23.89 (~v19(constB44)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31762, 31754])).
% 35.26/23.89 tff(31764,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31765,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31766,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44)),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31765, 31764])).
% 35.26/23.89 tff(31767,plain,
% 35.26/23.89 (v13(constB44)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31766, 50, 31763])).
% 35.26/23.89 tff(31768,plain,
% 35.26/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB43, constB44)) | (~v13(constB44)) | v9(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB43, constB44)) | (~v13(constB44)) | v9(constB43))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31769,plain,
% 35.26/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB43, constB44)) | (~v13(constB44)) | v9(constB43))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31770,plain,
% 35.26/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB43, constB44)) | (~v13(constB44)) | v9(constB43)),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31769, 31768])).
% 35.26/23.89 tff(31771,plain,
% 35.26/23.89 ((~v13(constB44)) | v9(constB43)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31770, 67, 7958])).
% 35.26/23.89 tff(31772,plain,
% 35.26/23.89 (v9(constB43)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31771, 31767])).
% 35.26/23.89 tff(31773,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v197(constB43))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB43) | (~v9(constB43)) | v197(constB43))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31774,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v197(constB43))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31775,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB43) | (~v9(constB43)) | v197(constB43)),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31774, 31773])).
% 35.26/23.89 tff(31776,plain,
% 35.26/23.89 ((~v9(constB43)) | v197(constB43)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31775, 85, 7836])).
% 35.26/23.89 tff(31777,plain,
% 35.26/23.89 (v197(constB43)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31776, 31772])).
% 35.26/23.89 tff(31778,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB43) | (~v197(constB43)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB43) | (~v197(constB43)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31779,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB43) | (~v197(constB43)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31780,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB43) | (~v197(constB43))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31779, 31778])).
% 35.26/23.89 tff(31781,plain,
% 35.26/23.89 (v196(constB43)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31780, 97, 31777])).
% 35.26/23.89 tff(31782,plain,
% 35.26/23.89 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB43)) | (~v196(constB43)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB43)) | (~v196(constB43)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31783,plain,
% 35.26/23.89 (((~v196(constB43)) | (~v194(constB43))) <=> ((~v194(constB43)) | (~v196(constB43)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31784,plain,
% 35.26/23.89 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB43)) | (~v194(constB43)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB43)) | (~v196(constB43))))),
% 35.26/23.89 inference(monotonicity,[status(thm)],[31783])).
% 35.26/23.89 tff(31785,plain,
% 35.26/23.89 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB43)) | (~v194(constB43)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB43)) | (~v196(constB43)))),
% 35.26/23.89 inference(transitivity,[status(thm)],[31784, 31782])).
% 35.26/23.89 tff(31786,plain,
% 35.26/23.89 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB43)) | (~v194(constB43)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31787,plain,
% 35.26/23.89 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB43)) | (~v196(constB43))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31786, 31785])).
% 35.26/23.89 tff(31788,plain,
% 35.26/23.89 (~v194(constB43)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31787, 108, 31781])).
% 35.26/23.89 tff(31789,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB43) | v198(constB43) | (~v191(constB43)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB43) | v198(constB43) | (~v191(constB43)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31790,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB43) | v198(constB43) | (~v191(constB43)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31791,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB43) | v198(constB43) | (~v191(constB43))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31790, 31789])).
% 35.26/23.89 tff(31792,plain,
% 35.26/23.89 (v198(constB43) | (~v191(constB43))),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31791, 23722, 31788])).
% 35.26/23.89 tff(31793,plain,
% 35.26/23.89 (~v191(constB43)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31792, 31750])).
% 35.26/23.89 tff(31794,plain,
% 35.26/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB43, constB44)) | v191(constB43) | (~v193(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB43, constB44)) | v191(constB43) | (~v193(constB44)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31795,plain,
% 35.26/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB43, constB44)) | v191(constB43) | (~v193(constB44)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31796,plain,
% 35.26/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB43, constB44)) | v191(constB43) | (~v193(constB44))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31795, 31794])).
% 35.26/23.89 tff(31797,plain,
% 35.26/23.89 (v191(constB43) | (~v193(constB44))),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31796, 23737, 7958])).
% 35.26/23.89 tff(31798,plain,
% 35.26/23.89 (~v193(constB44)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31797, 31793])).
% 35.26/23.89 tff(31799,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB44) | (~v194(constB44)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB44) | (~v194(constB44)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31800,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB44) | (~v194(constB44)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31801,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB44) | (~v194(constB44))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31800, 31799])).
% 35.26/23.89 tff(31802,plain,
% 35.26/23.89 (~v194(constB44)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31801, 23749, 31798])).
% 35.26/23.89 tff(31803,plain,
% 35.26/23.89 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB44)) | (~v197(constB44)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB44)) | (~v197(constB44)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31804,plain,
% 35.26/23.89 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB44)) | (~v197(constB44)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31805,plain,
% 35.26/23.89 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB44)) | (~v197(constB44))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31804, 31803])).
% 35.26/23.89 tff(31806,plain,
% 35.26/23.89 (~v197(constB44)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31805, 23760, 7981])).
% 35.26/23.89 tff(31807,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB44) | (~v200(constB44)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB44) | (~v200(constB44)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31808,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB44) | (~v200(constB44)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31809,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB44) | (~v200(constB44))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31808, 31807])).
% 35.26/23.89 tff(31810,plain,
% 35.26/23.89 (~v200(constB44)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31809, 23771, 31806])).
% 35.26/23.89 tff(31811,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB44) | (~v198(constB44)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB44) | (~v198(constB44)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31812,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB44) | (~v198(constB44)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31813,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB44) | (~v198(constB44))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31812, 31811])).
% 35.26/23.89 tff(31814,plain,
% 35.26/23.89 (~v198(constB44)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31813, 23708, 31810])).
% 35.26/23.89 tff(31815,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB44) | v198(constB44) | (~v191(constB44)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB44) | v198(constB44) | (~v191(constB44)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31816,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB44) | v198(constB44) | (~v191(constB44)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31817,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB44) | v198(constB44) | (~v191(constB44))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31816, 31815])).
% 35.26/23.89 tff(31818,plain,
% 35.26/23.89 (v194(constB44) | (~v191(constB44))),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31817, 23722, 31814])).
% 35.26/23.89 tff(31819,plain,
% 35.26/23.89 (~v191(constB44)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31818, 31802])).
% 35.26/23.89 tff(31820,plain,
% 35.26/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB44, constB45)) | v191(constB44) | (~v193(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB44, constB45)) | v191(constB44) | (~v193(constB45)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31821,plain,
% 35.26/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB44, constB45)) | v191(constB44) | (~v193(constB45)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31822,plain,
% 35.26/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB44, constB45)) | v191(constB44) | (~v193(constB45))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31821, 31820])).
% 35.26/23.89 tff(31823,plain,
% 35.26/23.89 (v191(constB44) | (~v193(constB45))),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31822, 23737, 8026])).
% 35.26/23.89 tff(31824,plain,
% 35.26/23.89 (~v193(constB45)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31823, 31819])).
% 35.26/23.89 tff(31825,plain,
% 35.26/23.89 ($false),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31824, 31635])).
% 35.26/23.89 tff(31826,plain,(~(constB45 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.26/23.89 tff(31827,assumption,(constB139 = sK0_VarCurr), introduced(assumption)).
% 35.26/23.89 tff(31828,plain,
% 35.26/23.89 (v193(constB139) <=> v193(sK0_VarCurr)),
% 35.26/23.89 inference(monotonicity,[status(thm)],[31827])).
% 35.26/23.89 tff(31829,plain,
% 35.26/23.89 (v193(sK0_VarCurr) <=> v193(constB139)),
% 35.26/23.89 inference(symmetry,[status(thm)],[31828])).
% 35.26/23.89 tff(31830,plain,
% 35.26/23.89 (v193(constB139)),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[24025, 31829])).
% 35.26/23.89 tff(31831,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB135, bitIndex2) | (~v88(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB135, bitIndex2) | (~v88(constB135, bitIndex2)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31832,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB135, bitIndex2) | (~v88(constB135, bitIndex2)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31833,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB135, bitIndex2) | (~v88(constB135, bitIndex2))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31832, 31831])).
% 35.26/23.89 tff(31834,plain,
% 35.26/23.89 (~v88(constB135, bitIndex2)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31833, 24075, 19496])).
% 35.26/23.89 tff(31835,plain,
% 35.26/23.89 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))))),
% 35.26/23.89 inference(bind,[status(th)],[])).
% 35.26/23.89 tff(31836,plain,
% 35.26/23.89 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 35.26/23.89 inference(quant_intro,[status(thm)],[31835])).
% 35.26/23.89 tff(31837,plain,
% 35.26/23.89 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31838,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_4')).
% 35.26/23.89 tff(31839,plain,
% 35.26/23.89 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31838, 31837])).
% 35.26/23.89 tff(31840,plain,(
% 35.26/23.89 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 35.26/23.89 inference(skolemize,[status(sab)],[31839])).
% 35.26/23.89 tff(31841,plain,
% 35.26/23.89 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31840, 31836])).
% 35.26/23.89 tff(31842,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB135, bitIndex1) | (~v88(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB135, bitIndex1) | (~v88(constB135, bitIndex1)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31843,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB135, bitIndex1) | (~v88(constB135, bitIndex1)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31844,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB135, bitIndex1) | (~v88(constB135, bitIndex1))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31843, 31842])).
% 35.26/23.89 tff(31845,plain,
% 35.26/23.89 (~v88(constB135, bitIndex1)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31844, 31841, 19533])).
% 35.26/23.89 tff(31846,plain,
% 35.26/23.89 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB135, bitIndex0)) | v88(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB135, bitIndex0)) | v88(constB135, bitIndex0))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31847,plain,
% 35.26/23.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB135, bitIndex0)) | v88(constB135, bitIndex0))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31848,plain,
% 35.26/23.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB135, bitIndex0)) | v88(constB135, bitIndex0)),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31847, 31846])).
% 35.26/23.89 tff(31849,plain,
% 35.26/23.89 (v88(constB135, bitIndex0)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31848, 30373, 19567])).
% 35.26/23.89 tff(31850,plain,
% 35.26/23.89 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)))),
% 35.26/23.89 inference(bind,[status(th)],[])).
% 35.26/23.89 tff(31851,plain,
% 35.26/23.89 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 35.26/23.89 inference(quant_intro,[status(thm)],[31850])).
% 35.26/23.89 tff(31852,plain,
% 35.26/23.89 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31853,plain,
% 35.26/23.89 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))), ((((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) | v88(VarCurr, bitIndex1)))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) | v88(VarCurr, bitIndex1)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))), ((((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))))),
% 35.26/23.89 inference(bind,[status(th)],[])).
% 35.26/23.89 tff(31854,plain,
% 35.26/23.89 (![VarCurr: $i] : (((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 35.26/23.89 inference(quant_intro,[status(thm)],[31853])).
% 35.26/23.89 tff(31855,axiom,(![VarCurr: $i] : (((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_1')).
% 35.26/23.89 tff(31856,plain,
% 35.26/23.89 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31855, 31854])).
% 35.26/23.89 tff(31857,plain,
% 35.26/23.89 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31856, 31852])).
% 35.26/23.89 tff(31858,plain,(
% 35.26/23.89 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 35.26/23.89 inference(skolemize,[status(sab)],[31857])).
% 35.26/23.89 tff(31859,plain,
% 35.26/23.89 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31858, 31851])).
% 35.26/23.89 tff(31860,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31861,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31862,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135)),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31861, 31860])).
% 35.26/23.89 tff(31863,plain,
% 35.26/23.89 (v140(constB135)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31862, 31859, 31849, 31845, 31834])).
% 35.26/23.89 tff(31864,plain,
% 35.26/23.89 (^[VarCurr: $i] : refl((v169(VarCurr) | (~v140(VarCurr))) <=> (v169(VarCurr) | (~v140(VarCurr))))),
% 35.26/23.89 inference(bind,[status(th)],[])).
% 35.26/23.89 tff(31865,plain,
% 35.26/23.89 (![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))),
% 35.26/23.89 inference(quant_intro,[status(thm)],[31864])).
% 35.26/23.89 tff(31866,plain,
% 35.26/23.89 (![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31867,axiom,(![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_1')).
% 35.26/23.89 tff(31868,plain,
% 35.26/23.89 (![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31867, 31866])).
% 35.26/23.89 tff(31869,plain,(
% 35.26/23.89 ![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))),
% 35.26/23.89 inference(skolemize,[status(sab)],[31868])).
% 35.26/23.89 tff(31870,plain,
% 35.26/23.89 (![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31869, 31865])).
% 35.26/23.89 tff(31871,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB135) | (~v140(constB135)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB135) | (~v140(constB135)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31872,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB135) | (~v140(constB135)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31873,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB135) | (~v140(constB135))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31872, 31871])).
% 35.26/23.89 tff(31874,plain,
% 35.26/23.89 (v169(constB135)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31873, 31870, 31863])).
% 35.26/23.89 tff(31875,plain,
% 35.26/23.89 (^[VarCurr: $i] : refl((v168(VarCurr) | (~v169(VarCurr))) <=> (v168(VarCurr) | (~v169(VarCurr))))),
% 35.26/23.89 inference(bind,[status(th)],[])).
% 35.26/23.89 tff(31876,plain,
% 35.26/23.89 (![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))),
% 35.26/23.89 inference(quant_intro,[status(thm)],[31875])).
% 35.26/23.89 tff(31877,plain,
% 35.26/23.89 (![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31878,axiom,(![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_1_1')).
% 35.26/23.89 tff(31879,plain,
% 35.26/23.89 (![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31878, 31877])).
% 35.26/23.89 tff(31880,plain,(
% 35.26/23.89 ![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))),
% 35.26/23.89 inference(skolemize,[status(sab)],[31879])).
% 35.26/23.89 tff(31881,plain,
% 35.26/23.89 (![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31880, 31876])).
% 35.26/23.89 tff(31882,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB135) | (~v169(constB135)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB135) | (~v169(constB135)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31883,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB135) | (~v169(constB135)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31884,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB135) | (~v169(constB135))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31883, 31882])).
% 35.26/23.89 tff(31885,plain,
% 35.26/23.89 (v168(constB135)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31884, 31881, 31874])).
% 35.26/23.89 tff(31886,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB135) | (~v168(constB135)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB135) | (~v168(constB135)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31887,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB135) | (~v168(constB135)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31888,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB135) | (~v168(constB135))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31887, 31886])).
% 35.26/23.89 tff(31889,plain,
% 35.26/23.89 (v167(constB135)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31888, 30412, 31885])).
% 35.26/23.89 tff(31890,plain,
% 35.26/23.89 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB135)) | (~v170(constB135)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB135)) | (~v170(constB135)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31891,plain,
% 35.26/23.89 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB135)) | (~v170(constB135)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31892,plain,
% 35.26/23.89 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB135)) | (~v170(constB135))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31891, 31890])).
% 35.26/23.89 tff(31893,plain,
% 35.26/23.89 (~v170(constB135)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31892, 23647, 31889])).
% 35.26/23.89 tff(31894,plain,
% 35.26/23.89 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB135) | (~v167(constB135)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB135) | (~v167(constB135)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31895,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB135) | (~v167(constB135)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31896,plain,
% 35.26/23.89 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB135) | (~v167(constB135))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31895, 31894])).
% 35.26/23.89 tff(31897,plain,
% 35.26/23.89 (v166(constB135)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31896, 23658, 31889])).
% 35.26/23.89 tff(31898,plain,
% 35.26/23.89 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB135)) | v170(constB135) | (~v166(constB135)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB135)) | v170(constB135) | (~v166(constB135)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31899,plain,
% 35.26/23.89 (((~v166(constB135)) | v170(constB135) | (~v163(constB135))) <=> ((~v163(constB135)) | v170(constB135) | (~v166(constB135)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31900,plain,
% 35.26/23.89 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB135)) | v170(constB135) | (~v163(constB135)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB135)) | v170(constB135) | (~v166(constB135))))),
% 35.26/23.89 inference(monotonicity,[status(thm)],[31899])).
% 35.26/23.89 tff(31901,plain,
% 35.26/23.89 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB135)) | v170(constB135) | (~v163(constB135)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB135)) | v170(constB135) | (~v166(constB135)))),
% 35.26/23.89 inference(transitivity,[status(thm)],[31900, 31898])).
% 35.26/23.89 tff(31902,plain,
% 35.26/23.89 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB135)) | v170(constB135) | (~v163(constB135)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31903,plain,
% 35.26/23.89 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB135)) | v170(constB135) | (~v166(constB135))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31902, 31901])).
% 35.26/23.89 tff(31904,plain,
% 35.26/23.89 (~v163(constB135)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31903, 23672, 31897, 31893])).
% 35.26/23.89 tff(31905,plain,
% 35.26/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31906,plain,
% 35.26/23.89 (((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136))) <=> (v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31907,plain,
% 35.26/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136))))),
% 35.26/23.89 inference(monotonicity,[status(thm)],[31906])).
% 35.26/23.89 tff(31908,plain,
% 35.26/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))),
% 35.26/23.89 inference(transitivity,[status(thm)],[31907, 31905])).
% 35.26/23.89 tff(31909,plain,
% 35.26/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31910,plain,
% 35.26/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31909, 31908])).
% 35.26/23.89 tff(31911,plain,
% 35.26/23.89 (v163(constB135) | (~v186(constB136))),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31910, 23806, 19613])).
% 35.26/23.89 tff(31912,plain,
% 35.26/23.89 (~v186(constB136)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31911, 31904])).
% 35.26/23.89 tff(31913,plain,
% 35.26/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31914,plain,
% 35.26/23.89 (((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136)) <=> ((~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31915,plain,
% 35.26/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v181(constB136) | v104(constB136)))),
% 35.26/23.89 inference(monotonicity,[status(thm)],[31914])).
% 35.26/23.89 tff(31916,plain,
% 35.26/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))),
% 35.26/23.89 inference(transitivity,[status(thm)],[31915, 31913])).
% 35.26/23.89 tff(31917,plain,
% 35.26/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31918,plain,
% 35.26/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB135, constB136)) | v181(constB136) | v104(constB136)),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31917, 31916])).
% 35.26/23.89 tff(31919,plain,
% 35.26/23.89 (v181(constB136) | v104(constB136)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31918, 23828, 19613])).
% 35.26/23.89 tff(31920,plain,
% 35.26/23.89 (v181(constB136)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31919, 19625])).
% 35.26/23.89 tff(31921,plain,
% 35.26/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31922,plain,
% 35.26/23.89 (((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136))) <=> ((~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31923,plain,
% 35.26/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136))))),
% 35.26/23.89 inference(monotonicity,[status(thm)],[31922])).
% 35.26/23.89 tff(31924,plain,
% 35.26/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))),
% 35.26/23.89 inference(transitivity,[status(thm)],[31923, 31921])).
% 35.26/23.89 tff(31925,plain,
% 35.26/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31926,plain,
% 35.26/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31925, 31924])).
% 35.26/23.89 tff(31927,plain,
% 35.26/23.89 (v180(constB136) | (~v181(constB136))),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31926, 23846, 19613, 19636])).
% 35.26/23.89 tff(31928,plain,
% 35.26/23.89 (v180(constB136)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31927, 31920])).
% 35.26/23.89 tff(31929,plain,
% 35.26/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31930,plain,
% 35.26/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136)))),
% 35.26/23.89 inference(quant_inst,[status(thm)],[])).
% 35.26/23.89 tff(31931,plain,
% 35.26/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136))),
% 35.26/23.89 inference(modus_ponens,[status(thm)],[31930, 31929])).
% 35.26/23.89 tff(31932,plain,
% 35.26/23.89 (v179(constB136) | (~v180(constB136))),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31931, 23864, 19613])).
% 35.26/23.89 tff(31933,plain,
% 35.26/23.89 (v179(constB136)),
% 35.26/23.89 inference(unit_resolution,[status(thm)],[31932, 31928])).
% 35.26/23.89 tff(31934,plain,
% 35.26/23.89 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB136)) | v186(constB136) | (~v179(constB136)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB136)) | v186(constB136) | (~v179(constB136)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31935,plain,
% 35.26/23.89 (((~v179(constB136)) | (~v159(constB136)) | v186(constB136)) <=> ((~v159(constB136)) | v186(constB136) | (~v179(constB136)))),
% 35.26/23.89 inference(rewrite,[status(thm)],[])).
% 35.26/23.89 tff(31936,plain,
% 35.26/23.89 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB136)) | (~v159(constB136)) | v186(constB136))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB136)) | v186(constB136) | (~v179(constB136))))),
% 35.26/23.89 inference(monotonicity,[status(thm)],[31935])).
% 35.26/23.89 tff(31937,plain,
% 35.26/23.89 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB136)) | (~v159(constB136)) | v186(constB136))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB136)) | v186(constB136) | (~v179(constB136)))),
% 35.26/23.90 inference(transitivity,[status(thm)],[31936, 31934])).
% 35.26/23.90 tff(31938,plain,
% 35.26/23.90 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB136)) | (~v159(constB136)) | v186(constB136))),
% 35.26/23.90 inference(quant_inst,[status(thm)],[])).
% 35.26/23.90 tff(31939,plain,
% 35.26/23.90 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB136)) | v186(constB136) | (~v179(constB136))),
% 35.26/23.90 inference(modus_ponens,[status(thm)],[31938, 31937])).
% 35.26/23.90 tff(31940,plain,
% 35.26/23.90 ((~v159(constB136)) | v186(constB136)),
% 35.26/23.90 inference(unit_resolution,[status(thm)],[31939, 23879, 31933])).
% 35.26/23.90 tff(31941,plain,
% 35.26/23.90 (~v159(constB136)),
% 35.26/23.90 inference(unit_resolution,[status(thm)],[31940, 31912])).
% 35.26/23.90 tff(31942,plain,
% 35.26/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))),
% 35.26/23.90 inference(rewrite,[status(thm)],[])).
% 35.26/23.90 tff(31943,plain,
% 35.26/23.90 (((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137))) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))),
% 35.26/23.90 inference(rewrite,[status(thm)],[])).
% 35.26/23.90 tff(31944,plain,
% 35.26/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137))))),
% 35.26/23.90 inference(monotonicity,[status(thm)],[31943])).
% 35.26/23.90 tff(31945,plain,
% 35.26/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))),
% 35.26/23.90 inference(transitivity,[status(thm)],[31944, 31942])).
% 35.26/23.90 tff(31946,plain,
% 35.26/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137)))),
% 35.26/23.90 inference(quant_inst,[status(thm)],[])).
% 35.26/23.90 tff(31947,plain,
% 35.26/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137))),
% 35.26/23.90 inference(modus_ponens,[status(thm)],[31946, 31945])).
% 35.26/23.90 tff(31948,plain,
% 35.26/23.90 (~v180(constB137)),
% 35.26/23.90 inference(unit_resolution,[status(thm)],[31947, 23900, 19684, 19681])).
% 35.26/23.90 tff(31949,plain,
% 35.26/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137)))),
% 35.26/23.90 inference(rewrite,[status(thm)],[])).
% 35.26/23.90 tff(31950,plain,
% 35.26/23.90 (((~nextState(constB136, constB137)) | (~v179(constB137)) | v180(constB137)) <=> ((~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137)))),
% 35.26/23.90 inference(rewrite,[status(thm)],[])).
% 35.26/23.90 tff(31951,plain,
% 35.26/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB136, constB137)) | (~v179(constB137)) | v180(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137))))),
% 35.26/23.90 inference(monotonicity,[status(thm)],[31950])).
% 35.26/23.90 tff(31952,plain,
% 35.26/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB136, constB137)) | (~v179(constB137)) | v180(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137)))),
% 35.26/23.90 inference(transitivity,[status(thm)],[31951, 31949])).
% 35.26/23.90 tff(31953,plain,
% 35.26/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB136, constB137)) | (~v179(constB137)) | v180(constB137))),
% 35.26/23.90 inference(quant_inst,[status(thm)],[])).
% 35.26/23.90 tff(31954,plain,
% 35.26/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137))),
% 35.26/23.90 inference(modus_ponens,[status(thm)],[31953, 31952])).
% 35.26/23.90 tff(31955,plain,
% 35.26/23.90 (v180(constB137) | (~v179(constB137))),
% 35.26/23.90 inference(unit_resolution,[status(thm)],[31954, 23917, 19684])).
% 35.26/23.90 tff(31956,plain,
% 35.26/23.90 (~v179(constB137)),
% 35.26/23.90 inference(unit_resolution,[status(thm)],[31955, 31948])).
% 35.26/23.90 tff(31957,plain,
% 35.26/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))),
% 35.26/23.90 inference(rewrite,[status(thm)],[])).
% 35.26/23.90 tff(31958,plain,
% 35.26/23.90 (((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137))) <=> (v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))),
% 35.26/23.90 inference(rewrite,[status(thm)],[])).
% 35.26/23.90 tff(31959,plain,
% 35.26/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137))))),
% 35.26/23.90 inference(monotonicity,[status(thm)],[31958])).
% 35.26/23.90 tff(31960,plain,
% 35.26/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))),
% 35.26/23.90 inference(transitivity,[status(thm)],[31959, 31957])).
% 35.26/23.90 tff(31961,plain,
% 35.26/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137)))),
% 35.26/23.90 inference(quant_inst,[status(thm)],[])).
% 35.26/23.90 tff(31962,plain,
% 35.26/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137))),
% 35.26/23.90 inference(modus_ponens,[status(thm)],[31961, 31960])).
% 35.26/23.90 tff(31963,plain,
% 35.26/23.90 (v159(constB136) | v179(constB137) | (~v159(constB137))),
% 35.26/23.90 inference(unit_resolution,[status(thm)],[31962, 23935, 19684])).
% 35.26/23.90 tff(31964,plain,
% 35.26/23.90 (v159(constB136) | (~v159(constB137))),
% 35.26/23.90 inference(unit_resolution,[status(thm)],[31963, 31956])).
% 35.26/23.90 tff(31965,plain,
% 35.26/23.90 (~v159(constB137)),
% 35.26/23.90 inference(unit_resolution,[status(thm)],[31964, 31941])).
% 35.26/23.90 tff(31966,plain,
% 35.26/23.90 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB137) | (~v201(constB137)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB137) | (~v201(constB137)))),
% 35.26/23.90 inference(rewrite,[status(thm)],[])).
% 35.26/23.90 tff(31967,plain,
% 35.26/23.90 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB137) | (~v201(constB137)))),
% 35.26/23.90 inference(quant_inst,[status(thm)],[])).
% 35.26/23.90 tff(31968,plain,
% 35.26/23.90 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB137) | (~v201(constB137))),
% 35.26/23.90 inference(modus_ponens,[status(thm)],[31967, 31966])).
% 35.26/23.90 tff(31969,plain,
% 35.26/23.90 (~v201(constB137)),
% 35.26/23.90 inference(unit_resolution,[status(thm)],[31968, 23951, 31965])).
% 35.26/23.90 tff(31970,plain,
% 35.26/23.90 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB137) | (~v200(constB137)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB137) | (~v200(constB137)))),
% 35.26/23.90 inference(rewrite,[status(thm)],[])).
% 35.26/23.90 tff(31971,plain,
% 35.26/23.90 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB137) | (~v200(constB137)))),
% 35.26/23.90 inference(quant_inst,[status(thm)],[])).
% 35.26/23.90 tff(31972,plain,
% 35.26/23.90 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB137) | (~v200(constB137))),
% 35.26/23.90 inference(modus_ponens,[status(thm)],[31971, 31970])).
% 35.26/23.90 tff(31973,plain,
% 35.26/23.90 (~v200(constB137)),
% 35.26/23.90 inference(unit_resolution,[status(thm)],[31972, 23697, 31969])).
% 35.26/23.90 tff(31974,plain,
% 35.26/23.90 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB137) | (~v198(constB137)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB137) | (~v198(constB137)))),
% 35.26/23.90 inference(rewrite,[status(thm)],[])).
% 35.26/23.90 tff(31975,plain,
% 35.26/23.90 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB137) | (~v198(constB137)))),
% 35.26/23.90 inference(quant_inst,[status(thm)],[])).
% 35.26/23.90 tff(31976,plain,
% 35.26/23.90 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB137) | (~v198(constB137))),
% 35.26/23.90 inference(modus_ponens,[status(thm)],[31975, 31974])).
% 35.26/23.90 tff(31977,plain,
% 35.26/23.90 (~v198(constB137)),
% 35.26/23.90 inference(unit_resolution,[status(thm)],[31976, 23708, 31973])).
% 35.26/23.90 tff(31978,plain,
% 35.26/23.90 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB133)) | (~v170(constB133)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB133)) | (~v170(constB133)))),
% 35.26/23.90 inference(rewrite,[status(thm)],[])).
% 35.26/23.90 tff(31979,plain,
% 35.26/23.90 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB133)) | (~v170(constB133)))),
% 35.26/23.90 inference(quant_inst,[status(thm)],[])).
% 35.26/23.90 tff(31980,plain,
% 35.26/23.90 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB133)) | (~v170(constB133))),
% 35.26/23.90 inference(modus_ponens,[status(thm)],[31979, 31978])).
% 35.26/23.90 tff(31981,plain,
% 35.26/23.90 (~v170(constB133)),
% 35.26/23.90 inference(unit_resolution,[status(thm)],[31980, 23647, 29547])).
% 35.26/23.90 tff(31982,plain,
% 35.26/23.90 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB133)) | (~v166(constB133)) | v170(constB133))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB133)) | (~v166(constB133)) | v170(constB133))),
% 35.26/23.90 inference(rewrite,[status(thm)],[])).
% 35.26/23.90 tff(31983,plain,
% 35.26/23.90 (((~v166(constB133)) | v170(constB133) | (~v163(constB133))) <=> ((~v163(constB133)) | (~v166(constB133)) | v170(constB133))),
% 35.26/23.90 inference(rewrite,[status(thm)],[])).
% 35.26/23.90 tff(31984,plain,
% 35.26/23.90 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB133)) | v170(constB133) | (~v163(constB133)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB133)) | (~v166(constB133)) | v170(constB133)))),
% 35.26/23.90 inference(monotonicity,[status(thm)],[31983])).
% 35.26/23.90 tff(31985,plain,
% 35.26/23.90 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB133)) | v170(constB133) | (~v163(constB133)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB133)) | (~v166(constB133)) | v170(constB133))),
% 35.26/23.90 inference(transitivity,[status(thm)],[31984, 31982])).
% 35.26/23.90 tff(31986,plain,
% 35.26/23.90 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB133)) | v170(constB133) | (~v163(constB133)))),
% 35.26/23.90 inference(quant_inst,[status(thm)],[])).
% 35.26/23.90 tff(31987,plain,
% 35.26/23.90 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB133)) | (~v166(constB133)) | v170(constB133)),
% 35.26/23.90 inference(modus_ponens,[status(thm)],[31986, 31985])).
% 35.26/23.90 tff(31988,plain,
% 35.26/23.90 (~v163(constB133)),
% 35.26/23.90 inference(unit_resolution,[status(thm)],[31987, 23672, 29551, 31981])).
% 35.26/23.90 tff(31989,plain,
% 35.26/23.90 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB133) | (~v201(constB133)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB133) | (~v201(constB133)))),
% 35.26/23.90 inference(rewrite,[status(thm)],[])).
% 35.26/23.90 tff(31990,plain,
% 35.26/23.90 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB133) | (~v201(constB133)))),
% 35.26/23.90 inference(quant_inst,[status(thm)],[])).
% 35.26/23.90 tff(31991,plain,
% 35.26/23.90 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB133) | (~v201(constB133))),
% 35.26/23.90 inference(modus_ponens,[status(thm)],[31990, 31989])).
% 35.26/23.90 tff(31992,plain,
% 35.26/23.90 (~v201(constB133)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[31991, 23686, 31988])).
% 35.31/23.90 tff(31993,plain,
% 35.31/23.90 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB133) | (~v200(constB133)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB133) | (~v200(constB133)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(31994,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB133) | (~v200(constB133)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(31995,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB133) | (~v200(constB133))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[31994, 31993])).
% 35.31/23.90 tff(31996,plain,
% 35.31/23.90 (~v200(constB133)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[31995, 23697, 31992])).
% 35.31/23.90 tff(31997,plain,
% 35.31/23.90 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB133) | (~v198(constB133)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB133) | (~v198(constB133)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(31998,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB133) | (~v198(constB133)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(31999,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB133) | (~v198(constB133))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[31998, 31997])).
% 35.31/23.90 tff(32000,plain,
% 35.31/23.90 (~v198(constB133)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[31999, 23708, 31996])).
% 35.31/23.90 tff(32001,plain,
% 35.31/23.90 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v197(constB133))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB133) | (~v9(constB133)) | v197(constB133))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32002,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v197(constB133))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32003,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB133) | (~v9(constB133)) | v197(constB133)),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32002, 32001])).
% 35.31/23.90 tff(32004,plain,
% 35.31/23.90 ((~v9(constB133)) | v197(constB133)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32003, 85, 181])).
% 35.31/23.90 tff(32005,plain,
% 35.31/23.90 (v197(constB133)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32004, 167])).
% 35.31/23.90 tff(32006,plain,
% 35.31/23.90 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB133) | (~v197(constB133)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB133) | (~v197(constB133)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32007,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB133) | (~v197(constB133)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32008,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB133) | (~v197(constB133))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32007, 32006])).
% 35.31/23.90 tff(32009,plain,
% 35.31/23.90 (v196(constB133)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32008, 97, 32005])).
% 35.31/23.90 tff(32010,plain,
% 35.31/23.90 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB133)) | (~v196(constB133)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB133)) | (~v196(constB133)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32011,plain,
% 35.31/23.90 (((~v196(constB133)) | (~v194(constB133))) <=> ((~v194(constB133)) | (~v196(constB133)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32012,plain,
% 35.31/23.90 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB133)) | (~v194(constB133)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB133)) | (~v196(constB133))))),
% 35.31/23.90 inference(monotonicity,[status(thm)],[32011])).
% 35.31/23.90 tff(32013,plain,
% 35.31/23.90 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB133)) | (~v194(constB133)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB133)) | (~v196(constB133)))),
% 35.31/23.90 inference(transitivity,[status(thm)],[32012, 32010])).
% 35.31/23.90 tff(32014,plain,
% 35.31/23.90 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB133)) | (~v194(constB133)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32015,plain,
% 35.31/23.90 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB133)) | (~v196(constB133))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32014, 32013])).
% 35.31/23.90 tff(32016,plain,
% 35.31/23.90 (~v194(constB133)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32015, 108, 32009])).
% 35.31/23.90 tff(32017,plain,
% 35.31/23.90 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB133) | v198(constB133) | (~v191(constB133)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB133) | v198(constB133) | (~v191(constB133)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32018,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB133) | v198(constB133) | (~v191(constB133)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32019,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB133) | v198(constB133) | (~v191(constB133))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32018, 32017])).
% 35.31/23.90 tff(32020,plain,
% 35.31/23.90 (v198(constB133) | (~v191(constB133))),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32019, 23722, 32016])).
% 35.31/23.90 tff(32021,plain,
% 35.31/23.90 (~v191(constB133)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32020, 32000])).
% 35.31/23.90 tff(32022,plain,
% 35.31/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB133, constB134)) | v191(constB133) | (~v193(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB133, constB134)) | v191(constB133) | (~v193(constB134)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32023,plain,
% 35.31/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB133, constB134)) | v191(constB133) | (~v193(constB134)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32024,plain,
% 35.31/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB133, constB134)) | v191(constB133) | (~v193(constB134))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32023, 32022])).
% 35.31/23.90 tff(32025,plain,
% 35.31/23.90 (v191(constB133) | (~v193(constB134))),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32024, 23737, 162])).
% 35.31/23.90 tff(32026,plain,
% 35.31/23.90 (~v193(constB134)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32025, 32021])).
% 35.31/23.90 tff(32027,plain,
% 35.31/23.90 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB134) | (~v194(constB134)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB134) | (~v194(constB134)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32028,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB134) | (~v194(constB134)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32029,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB134) | (~v194(constB134))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32028, 32027])).
% 35.31/23.90 tff(32030,plain,
% 35.31/23.90 (~v194(constB134)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32029, 23749, 32026])).
% 35.31/23.90 tff(32031,plain,
% 35.31/23.90 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB134)) | (~v197(constB134)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB134)) | (~v197(constB134)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32032,plain,
% 35.31/23.90 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB134)) | (~v197(constB134)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32033,plain,
% 35.31/23.90 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB134)) | (~v197(constB134))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32032, 32031])).
% 35.31/23.90 tff(32034,plain,
% 35.31/23.90 (~v197(constB134)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32033, 23760, 146])).
% 35.31/23.90 tff(32035,plain,
% 35.31/23.90 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB134) | (~v200(constB134)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB134) | (~v200(constB134)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32036,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB134) | (~v200(constB134)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32037,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB134) | (~v200(constB134))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32036, 32035])).
% 35.31/23.90 tff(32038,plain,
% 35.31/23.90 (~v200(constB134)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32037, 23771, 32034])).
% 35.31/23.90 tff(32039,plain,
% 35.31/23.90 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB134) | (~v198(constB134)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB134) | (~v198(constB134)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32040,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB134) | (~v198(constB134)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32041,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB134) | (~v198(constB134))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32040, 32039])).
% 35.31/23.90 tff(32042,plain,
% 35.31/23.90 (~v198(constB134)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32041, 23708, 32038])).
% 35.31/23.90 tff(32043,plain,
% 35.31/23.90 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB134) | v198(constB134) | (~v191(constB134)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB134) | v198(constB134) | (~v191(constB134)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32044,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB134) | v198(constB134) | (~v191(constB134)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32045,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB134) | v198(constB134) | (~v191(constB134))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32044, 32043])).
% 35.31/23.90 tff(32046,plain,
% 35.31/23.90 (v194(constB134) | (~v191(constB134))),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32045, 23722, 32042])).
% 35.31/23.90 tff(32047,plain,
% 35.31/23.90 (~v191(constB134)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32046, 32030])).
% 35.31/23.90 tff(32048,plain,
% 35.31/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB134, constB135)) | v191(constB134) | (~v193(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB134, constB135)) | v191(constB134) | (~v193(constB135)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32049,plain,
% 35.31/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB134, constB135)) | v191(constB134) | (~v193(constB135)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32050,plain,
% 35.31/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB134, constB135)) | v191(constB134) | (~v193(constB135))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32049, 32048])).
% 35.31/23.90 tff(32051,plain,
% 35.31/23.90 (v191(constB134) | (~v193(constB135))),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32050, 23737, 19475])).
% 35.31/23.90 tff(32052,plain,
% 35.31/23.90 (~v193(constB135)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32051, 32047])).
% 35.31/23.90 tff(32053,plain,
% 35.31/23.90 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB135) | (~v194(constB135)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB135) | (~v194(constB135)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32054,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB135) | (~v194(constB135)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32055,plain,
% 35.31/23.90 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB135) | (~v194(constB135))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32054, 32053])).
% 35.31/23.90 tff(32056,plain,
% 35.31/23.90 (~v194(constB135)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32055, 23749, 32052])).
% 35.31/23.90 tff(32057,plain,
% 35.31/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB133) | (~nextState(constB133, constB134)) | (~v186(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB133) | (~nextState(constB133, constB134)) | (~v186(constB134)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32058,plain,
% 35.31/23.90 (((~nextState(constB133, constB134)) | v163(constB133) | (~v186(constB134))) <=> (v163(constB133) | (~nextState(constB133, constB134)) | (~v186(constB134)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32059,plain,
% 35.31/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB133, constB134)) | v163(constB133) | (~v186(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB133) | (~nextState(constB133, constB134)) | (~v186(constB134))))),
% 35.31/23.90 inference(monotonicity,[status(thm)],[32058])).
% 35.31/23.90 tff(32060,plain,
% 35.31/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB133, constB134)) | v163(constB133) | (~v186(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB133) | (~nextState(constB133, constB134)) | (~v186(constB134)))),
% 35.31/23.90 inference(transitivity,[status(thm)],[32059, 32057])).
% 35.31/23.90 tff(32061,plain,
% 35.31/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB133, constB134)) | v163(constB133) | (~v186(constB134)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32062,plain,
% 35.31/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB133) | (~nextState(constB133, constB134)) | (~v186(constB134))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32061, 32060])).
% 35.31/23.90 tff(32063,plain,
% 35.31/23.90 (v163(constB133) | (~v186(constB134))),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32062, 23806, 162])).
% 35.31/23.90 tff(32064,plain,
% 35.31/23.90 (~v186(constB134)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32063, 31988])).
% 35.31/23.90 tff(32065,plain,
% 35.31/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB133, constB134)) | v181(constB134) | v104(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB133, constB134)) | v181(constB134) | v104(constB134))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32066,plain,
% 35.31/23.90 (((~nextState(constB133, constB134)) | v104(constB134) | v181(constB134)) <=> ((~nextState(constB133, constB134)) | v181(constB134) | v104(constB134))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32067,plain,
% 35.31/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | v181(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB133, constB134)) | v181(constB134) | v104(constB134)))),
% 35.31/23.90 inference(monotonicity,[status(thm)],[32066])).
% 35.31/23.90 tff(32068,plain,
% 35.31/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | v181(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB133, constB134)) | v181(constB134) | v104(constB134))),
% 35.31/23.90 inference(transitivity,[status(thm)],[32067, 32065])).
% 35.31/23.90 tff(32069,plain,
% 35.31/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | v181(constB134))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32070,plain,
% 35.31/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB133, constB134)) | v181(constB134) | v104(constB134)),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32069, 32068])).
% 35.31/23.90 tff(32071,plain,
% 35.31/23.90 (v181(constB134) | v104(constB134)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32070, 23828, 162])).
% 35.31/23.90 tff(32072,plain,
% 35.31/23.90 (v181(constB134)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32071, 19392])).
% 35.31/23.90 tff(32073,plain,
% 35.31/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB133, constB134)) | v180(constB134) | (~v1(constB134)) | (~v181(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB133, constB134)) | v180(constB134) | (~v1(constB134)) | (~v181(constB134)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32074,plain,
% 35.31/23.90 (((~nextState(constB133, constB134)) | (~v1(constB134)) | v180(constB134) | (~v181(constB134))) <=> ((~nextState(constB133, constB134)) | v180(constB134) | (~v1(constB134)) | (~v181(constB134)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32075,plain,
% 35.31/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB133, constB134)) | (~v1(constB134)) | v180(constB134) | (~v181(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB133, constB134)) | v180(constB134) | (~v1(constB134)) | (~v181(constB134))))),
% 35.31/23.90 inference(monotonicity,[status(thm)],[32074])).
% 35.31/23.90 tff(32076,plain,
% 35.31/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB133, constB134)) | (~v1(constB134)) | v180(constB134) | (~v181(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB133, constB134)) | v180(constB134) | (~v1(constB134)) | (~v181(constB134)))),
% 35.31/23.90 inference(transitivity,[status(thm)],[32075, 32073])).
% 35.31/23.90 tff(32077,plain,
% 35.31/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB133, constB134)) | (~v1(constB134)) | v180(constB134) | (~v181(constB134)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32078,plain,
% 35.31/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB133, constB134)) | v180(constB134) | (~v1(constB134)) | (~v181(constB134))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32077, 32076])).
% 35.31/23.90 tff(32079,plain,
% 35.31/23.90 (v180(constB134) | (~v181(constB134))),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32078, 23846, 162, 146])).
% 35.31/23.90 tff(32080,plain,
% 35.31/23.90 (v180(constB134)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32079, 32072])).
% 35.31/23.90 tff(32081,plain,
% 35.31/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB133, constB134)) | v179(constB134) | (~v180(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB133, constB134)) | v179(constB134) | (~v180(constB134)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32082,plain,
% 35.31/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB133, constB134)) | v179(constB134) | (~v180(constB134)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32083,plain,
% 35.31/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB133, constB134)) | v179(constB134) | (~v180(constB134))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32082, 32081])).
% 35.31/23.90 tff(32084,plain,
% 35.31/23.90 (v179(constB134) | (~v180(constB134))),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32083, 23864, 162])).
% 35.31/23.90 tff(32085,plain,
% 35.31/23.90 (v179(constB134)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32084, 32080])).
% 35.31/23.90 tff(32086,plain,
% 35.31/23.90 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB134)) | v186(constB134) | (~v179(constB134)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB134)) | v186(constB134) | (~v179(constB134)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32087,plain,
% 35.31/23.90 (((~v179(constB134)) | (~v159(constB134)) | v186(constB134)) <=> ((~v159(constB134)) | v186(constB134) | (~v179(constB134)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32088,plain,
% 35.31/23.90 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB134)) | (~v159(constB134)) | v186(constB134))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB134)) | v186(constB134) | (~v179(constB134))))),
% 35.31/23.90 inference(monotonicity,[status(thm)],[32087])).
% 35.31/23.90 tff(32089,plain,
% 35.31/23.90 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB134)) | (~v159(constB134)) | v186(constB134))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB134)) | v186(constB134) | (~v179(constB134)))),
% 35.31/23.90 inference(transitivity,[status(thm)],[32088, 32086])).
% 35.31/23.90 tff(32090,plain,
% 35.31/23.90 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB134)) | (~v159(constB134)) | v186(constB134))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32091,plain,
% 35.31/23.90 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB134)) | v186(constB134) | (~v179(constB134))),
% 35.31/23.90 inference(modus_ponens,[status(thm)],[32090, 32089])).
% 35.31/23.90 tff(32092,plain,
% 35.31/23.90 ((~v159(constB134)) | v186(constB134)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32091, 23879, 32085])).
% 35.31/23.90 tff(32093,plain,
% 35.31/23.90 (~v159(constB134)),
% 35.31/23.90 inference(unit_resolution,[status(thm)],[32092, 32064])).
% 35.31/23.90 tff(32094,plain,
% 35.31/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v180(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v180(constB135)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32095,plain,
% 35.31/23.90 (((~nextState(constB134, constB135)) | v1(constB135) | (~v180(constB135))) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v180(constB135)))),
% 35.31/23.90 inference(rewrite,[status(thm)],[])).
% 35.31/23.90 tff(32096,plain,
% 35.31/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB134, constB135)) | v1(constB135) | (~v180(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v180(constB135))))),
% 35.31/23.90 inference(monotonicity,[status(thm)],[32095])).
% 35.31/23.90 tff(32097,plain,
% 35.31/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB134, constB135)) | v1(constB135) | (~v180(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v180(constB135)))),
% 35.31/23.90 inference(transitivity,[status(thm)],[32096, 32094])).
% 35.31/23.90 tff(32098,plain,
% 35.31/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB134, constB135)) | v1(constB135) | (~v180(constB135)))),
% 35.31/23.90 inference(quant_inst,[status(thm)],[])).
% 35.31/23.90 tff(32099,plain,
% 35.31/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v180(constB135))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32098, 32097])).
% 35.31/23.91 tff(32100,plain,
% 35.31/23.91 (~v180(constB135)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32099, 23900, 19475, 19472])).
% 35.31/23.91 tff(32101,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB134, constB135)) | v180(constB135) | (~v179(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB134, constB135)) | v180(constB135) | (~v179(constB135)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32102,plain,
% 35.31/23.91 (((~nextState(constB134, constB135)) | (~v179(constB135)) | v180(constB135)) <=> ((~nextState(constB134, constB135)) | v180(constB135) | (~v179(constB135)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32103,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB134, constB135)) | (~v179(constB135)) | v180(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB134, constB135)) | v180(constB135) | (~v179(constB135))))),
% 35.31/23.91 inference(monotonicity,[status(thm)],[32102])).
% 35.31/23.91 tff(32104,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB134, constB135)) | (~v179(constB135)) | v180(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB134, constB135)) | v180(constB135) | (~v179(constB135)))),
% 35.31/23.91 inference(transitivity,[status(thm)],[32103, 32101])).
% 35.31/23.91 tff(32105,plain,
% 35.31/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB134, constB135)) | (~v179(constB135)) | v180(constB135))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32106,plain,
% 35.31/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB134, constB135)) | v180(constB135) | (~v179(constB135))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32105, 32104])).
% 35.31/23.91 tff(32107,plain,
% 35.31/23.91 (v180(constB135) | (~v179(constB135))),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32106, 23917, 19475])).
% 35.31/23.91 tff(32108,plain,
% 35.31/23.91 (~v179(constB135)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32107, 32100])).
% 35.31/23.91 tff(32109,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB134) | (~nextState(constB134, constB135)) | v179(constB135) | (~v159(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB134) | (~nextState(constB134, constB135)) | v179(constB135) | (~v159(constB135)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32110,plain,
% 35.31/23.91 (((~nextState(constB134, constB135)) | v179(constB135) | v159(constB134) | (~v159(constB135))) <=> (v159(constB134) | (~nextState(constB134, constB135)) | v179(constB135) | (~v159(constB135)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32111,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB134, constB135)) | v179(constB135) | v159(constB134) | (~v159(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB134) | (~nextState(constB134, constB135)) | v179(constB135) | (~v159(constB135))))),
% 35.31/23.91 inference(monotonicity,[status(thm)],[32110])).
% 35.31/23.91 tff(32112,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB134, constB135)) | v179(constB135) | v159(constB134) | (~v159(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB134) | (~nextState(constB134, constB135)) | v179(constB135) | (~v159(constB135)))),
% 35.31/23.91 inference(transitivity,[status(thm)],[32111, 32109])).
% 35.31/23.91 tff(32113,plain,
% 35.31/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB134, constB135)) | v179(constB135) | v159(constB134) | (~v159(constB135)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32114,plain,
% 35.31/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB134) | (~nextState(constB134, constB135)) | v179(constB135) | (~v159(constB135))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32113, 32112])).
% 35.31/23.91 tff(32115,plain,
% 35.31/23.91 (v159(constB134) | v179(constB135) | (~v159(constB135))),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32114, 23935, 19475])).
% 35.31/23.91 tff(32116,plain,
% 35.31/23.91 (v159(constB134) | (~v159(constB135))),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32115, 32108])).
% 35.31/23.91 tff(32117,plain,
% 35.31/23.91 (~v159(constB135)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32116, 32093])).
% 35.31/23.91 tff(32118,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB135) | (~v201(constB135)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB135) | (~v201(constB135)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32119,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB135) | (~v201(constB135)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32120,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB135) | (~v201(constB135))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32119, 32118])).
% 35.31/23.91 tff(32121,plain,
% 35.31/23.91 (~v201(constB135)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32120, 23951, 32117])).
% 35.31/23.91 tff(32122,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB135) | (~v200(constB135)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB135) | (~v200(constB135)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32123,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB135) | (~v200(constB135)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32124,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB135) | (~v200(constB135))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32123, 32122])).
% 35.31/23.91 tff(32125,plain,
% 35.31/23.91 (~v200(constB135)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32124, 23697, 32121])).
% 35.31/23.91 tff(32126,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB135) | (~v198(constB135)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB135) | (~v198(constB135)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32127,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB135) | (~v198(constB135)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32128,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB135) | (~v198(constB135))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32127, 32126])).
% 35.31/23.91 tff(32129,plain,
% 35.31/23.91 (~v198(constB135)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32128, 23708, 32125])).
% 35.31/23.91 tff(32130,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB135) | v198(constB135) | (~v191(constB135)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB135) | v198(constB135) | (~v191(constB135)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32131,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB135) | v198(constB135) | (~v191(constB135)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32132,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB135) | v198(constB135) | (~v191(constB135))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32131, 32130])).
% 35.31/23.91 tff(32133,plain,
% 35.31/23.91 (v194(constB135) | (~v191(constB135))),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32132, 23722, 32129])).
% 35.31/23.91 tff(32134,plain,
% 35.31/23.91 (~v191(constB135)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32133, 32056])).
% 35.31/23.91 tff(32135,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB135, constB136)) | v191(constB135) | (~v193(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB135, constB136)) | v191(constB135) | (~v193(constB136)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32136,plain,
% 35.31/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB135, constB136)) | v191(constB135) | (~v193(constB136)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32137,plain,
% 35.31/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB135, constB136)) | v191(constB135) | (~v193(constB136))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32136, 32135])).
% 35.31/23.91 tff(32138,plain,
% 35.31/23.91 (v191(constB135) | (~v193(constB136))),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32137, 23737, 19613])).
% 35.31/23.91 tff(32139,plain,
% 35.31/23.91 (~v193(constB136)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32138, 32134])).
% 35.31/23.91 tff(32140,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB136) | (~v194(constB136)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB136) | (~v194(constB136)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32141,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB136) | (~v194(constB136)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32142,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB136) | (~v194(constB136))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32141, 32140])).
% 35.31/23.91 tff(32143,plain,
% 35.31/23.91 (~v194(constB136)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32142, 23749, 32139])).
% 35.31/23.91 tff(32144,plain,
% 35.31/23.91 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB136)) | (~v197(constB136)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB136)) | (~v197(constB136)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32145,plain,
% 35.31/23.91 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB136)) | (~v197(constB136)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32146,plain,
% 35.31/23.91 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB136)) | (~v197(constB136))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32145, 32144])).
% 35.31/23.91 tff(32147,plain,
% 35.31/23.91 (~v197(constB136)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32146, 23760, 19636])).
% 35.31/23.91 tff(32148,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB136) | (~v200(constB136)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB136) | (~v200(constB136)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32149,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB136) | (~v200(constB136)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32150,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB136) | (~v200(constB136))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32149, 32148])).
% 35.31/23.91 tff(32151,plain,
% 35.31/23.91 (~v200(constB136)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32150, 23771, 32147])).
% 35.31/23.91 tff(32152,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB136) | (~v198(constB136)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB136) | (~v198(constB136)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32153,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB136) | (~v198(constB136)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32154,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB136) | (~v198(constB136))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32153, 32152])).
% 35.31/23.91 tff(32155,plain,
% 35.31/23.91 (~v198(constB136)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32154, 23708, 32151])).
% 35.31/23.91 tff(32156,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB136) | v198(constB136) | (~v191(constB136)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB136) | v198(constB136) | (~v191(constB136)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32157,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB136) | v198(constB136) | (~v191(constB136)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32158,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB136) | v198(constB136) | (~v191(constB136))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32157, 32156])).
% 35.31/23.91 tff(32159,plain,
% 35.31/23.91 (v194(constB136) | (~v191(constB136))),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32158, 23722, 32155])).
% 35.31/23.91 tff(32160,plain,
% 35.31/23.91 (~v191(constB136)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32159, 32143])).
% 35.31/23.91 tff(32161,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB136, constB137)) | v191(constB136) | (~v193(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB136, constB137)) | v191(constB136) | (~v193(constB137)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32162,plain,
% 35.31/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB136, constB137)) | v191(constB136) | (~v193(constB137)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32163,plain,
% 35.31/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB136, constB137)) | v191(constB136) | (~v193(constB137))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32162, 32161])).
% 35.31/23.91 tff(32164,plain,
% 35.31/23.91 (v191(constB136) | (~v193(constB137))),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32163, 23737, 19684])).
% 35.31/23.91 tff(32165,plain,
% 35.31/23.91 (~v193(constB137)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32164, 32160])).
% 35.31/23.91 tff(32166,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB137) | (~v194(constB137)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB137) | (~v194(constB137)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32167,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB137) | (~v194(constB137)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32168,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB137) | (~v194(constB137))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32167, 32166])).
% 35.31/23.91 tff(32169,plain,
% 35.31/23.91 (~v194(constB137)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32168, 23749, 32165])).
% 35.31/23.91 tff(32170,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB137) | v198(constB137) | (~v191(constB137)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB137) | v198(constB137) | (~v191(constB137)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32171,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB137) | v198(constB137) | (~v191(constB137)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32172,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB137) | v198(constB137) | (~v191(constB137))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32171, 32170])).
% 35.31/23.91 tff(32173,plain,
% 35.31/23.91 (v198(constB137) | (~v191(constB137))),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32172, 23722, 32169])).
% 35.31/23.91 tff(32174,plain,
% 35.31/23.91 (~v191(constB137)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32173, 31977])).
% 35.31/23.91 tff(32175,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32176,plain,
% 35.31/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32177,plain,
% 35.31/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32176, 32175])).
% 35.31/23.91 tff(32178,plain,
% 35.31/23.91 (v191(constB137) | (~v193(constB138))),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32177, 23737, 19789])).
% 35.31/23.91 tff(32179,plain,
% 35.31/23.91 (~v193(constB138)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32178, 32174])).
% 35.31/23.91 tff(32180,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB138) | (~v194(constB138)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB138) | (~v194(constB138)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32181,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB138) | (~v194(constB138)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32182,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB138) | (~v194(constB138))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32181, 32180])).
% 35.31/23.91 tff(32183,plain,
% 35.31/23.91 (~v194(constB138)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32182, 23749, 32179])).
% 35.31/23.91 tff(32184,plain,
% 35.31/23.91 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB138)) | (~v197(constB138)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB138)) | (~v197(constB138)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32185,plain,
% 35.31/23.91 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB138)) | (~v197(constB138)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32186,plain,
% 35.31/23.91 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB138)) | (~v197(constB138))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32185, 32184])).
% 35.31/23.91 tff(32187,plain,
% 35.31/23.91 (~v197(constB138)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32186, 23760, 19852])).
% 35.31/23.91 tff(32188,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB138) | (~v200(constB138)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB138) | (~v200(constB138)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32189,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB138) | (~v200(constB138)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32190,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB138) | (~v200(constB138))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32189, 32188])).
% 35.31/23.91 tff(32191,plain,
% 35.31/23.91 (~v200(constB138)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32190, 23771, 32187])).
% 35.31/23.91 tff(32192,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB138) | (~v198(constB138)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB138) | (~v198(constB138)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32193,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB138) | (~v198(constB138)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32194,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB138) | (~v198(constB138))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32193, 32192])).
% 35.31/23.91 tff(32195,plain,
% 35.31/23.91 (~v198(constB138)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32194, 23708, 32191])).
% 35.31/23.91 tff(32196,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB138) | v198(constB138) | (~v191(constB138)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB138) | v198(constB138) | (~v191(constB138)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32197,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB138) | v198(constB138) | (~v191(constB138)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32198,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB138) | v198(constB138) | (~v191(constB138))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32197, 32196])).
% 35.31/23.91 tff(32199,plain,
% 35.31/23.91 (v194(constB138) | (~v191(constB138))),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32198, 23722, 32195])).
% 35.31/23.91 tff(32200,plain,
% 35.31/23.91 (~v191(constB138)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32199, 32183])).
% 35.31/23.91 tff(32201,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32202,plain,
% 35.31/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32203,plain,
% 35.31/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32202, 32201])).
% 35.31/23.91 tff(32204,plain,
% 35.31/23.91 (v191(constB138) | (~v193(constB139))),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32203, 23737, 19883])).
% 35.31/23.91 tff(32205,plain,
% 35.31/23.91 (~v193(constB139)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32204, 32200])).
% 35.31/23.91 tff(32206,plain,
% 35.31/23.91 ($false),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32205, 31830])).
% 35.31/23.91 tff(32207,plain,(~(constB139 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.31/23.91 tff(32208,assumption,(constB43 = sK0_VarCurr), introduced(assumption)).
% 35.31/23.91 tff(32209,plain,
% 35.31/23.91 (v193(constB43) <=> v193(sK0_VarCurr)),
% 35.31/23.91 inference(monotonicity,[status(thm)],[32208])).
% 35.31/23.91 tff(32210,plain,
% 35.31/23.91 (v193(sK0_VarCurr) <=> v193(constB43)),
% 35.31/23.91 inference(symmetry,[status(thm)],[32209])).
% 35.31/23.91 tff(32211,plain,
% 35.31/23.91 (v193(constB43)),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[24025, 32210])).
% 35.31/23.91 tff(32212,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32213,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32214,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32213, 32212])).
% 35.31/23.91 tff(32215,plain,
% 35.31/23.91 (~v88(constB39, bitIndex2)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32214, 24075, 7447])).
% 35.31/23.91 tff(32216,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB39, bitIndex1) | (~v88(constB39, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB39, bitIndex1) | (~v88(constB39, bitIndex1)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32217,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB39, bitIndex1) | (~v88(constB39, bitIndex1)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32218,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB39, bitIndex1) | (~v88(constB39, bitIndex1))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32217, 32216])).
% 35.31/23.91 tff(32219,plain,
% 35.31/23.91 (~v88(constB39, bitIndex1)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32218, 31841, 7483])).
% 35.31/23.91 tff(32220,plain,
% 35.31/23.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB39, bitIndex0)) | v88(constB39, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB39, bitIndex0)) | v88(constB39, bitIndex0))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32221,plain,
% 35.31/23.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB39, bitIndex0)) | v88(constB39, bitIndex0))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32222,plain,
% 35.31/23.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB39, bitIndex0)) | v88(constB39, bitIndex0)),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32221, 32220])).
% 35.31/23.91 tff(32223,plain,
% 35.31/23.91 (v88(constB39, bitIndex0)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32222, 30373, 7516])).
% 35.31/23.91 tff(32224,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32225,plain,
% 35.31/23.91 ((v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39)) <=> (v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32226,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39)))),
% 35.31/23.91 inference(monotonicity,[status(thm)],[32225])).
% 35.31/23.91 tff(32227,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39))),
% 35.31/23.91 inference(transitivity,[status(thm)],[32226, 32224])).
% 35.31/23.91 tff(32228,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32229,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39)),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32228, 32227])).
% 35.31/23.91 tff(32230,plain,
% 35.31/23.91 (v140(constB39)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32229, 31859, 32223, 32219, 32215])).
% 35.31/23.91 tff(32231,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB39) | (~v140(constB39)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB39) | (~v140(constB39)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32232,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB39) | (~v140(constB39)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32233,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB39) | (~v140(constB39))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32232, 32231])).
% 35.31/23.91 tff(32234,plain,
% 35.31/23.91 (v169(constB39)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32233, 31870, 32230])).
% 35.31/23.91 tff(32235,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB39) | (~v169(constB39)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB39) | (~v169(constB39)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32236,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB39) | (~v169(constB39)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32237,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB39) | (~v169(constB39))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32236, 32235])).
% 35.31/23.91 tff(32238,plain,
% 35.31/23.91 (v168(constB39)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32237, 31881, 32234])).
% 35.31/23.91 tff(32239,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB39) | (~v168(constB39)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB39) | (~v168(constB39)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32240,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB39) | (~v168(constB39)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32241,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB39) | (~v168(constB39))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32240, 32239])).
% 35.31/23.91 tff(32242,plain,
% 35.31/23.91 (v167(constB39)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32241, 30412, 32238])).
% 35.31/23.91 tff(32243,plain,
% 35.31/23.91 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB39)) | (~v170(constB39)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB39)) | (~v170(constB39)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32244,plain,
% 35.31/23.91 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB39)) | (~v170(constB39)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32245,plain,
% 35.31/23.91 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB39)) | (~v170(constB39))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32244, 32243])).
% 35.31/23.91 tff(32246,plain,
% 35.31/23.91 (~v170(constB39)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32245, 23647, 32242])).
% 35.31/23.91 tff(32247,plain,
% 35.31/23.91 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB39) | (~v167(constB39)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB39) | (~v167(constB39)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32248,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB39) | (~v167(constB39)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32249,plain,
% 35.31/23.91 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB39) | (~v167(constB39))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32248, 32247])).
% 35.31/23.91 tff(32250,plain,
% 35.31/23.91 (v166(constB39)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32249, 23658, 32242])).
% 35.31/23.91 tff(32251,plain,
% 35.31/23.91 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB39)) | (~v166(constB39)) | v170(constB39))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB39)) | (~v166(constB39)) | v170(constB39))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32252,plain,
% 35.31/23.91 (((~v166(constB39)) | v170(constB39) | (~v163(constB39))) <=> ((~v163(constB39)) | (~v166(constB39)) | v170(constB39))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32253,plain,
% 35.31/23.91 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB39)) | v170(constB39) | (~v163(constB39)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB39)) | (~v166(constB39)) | v170(constB39)))),
% 35.31/23.91 inference(monotonicity,[status(thm)],[32252])).
% 35.31/23.91 tff(32254,plain,
% 35.31/23.91 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB39)) | v170(constB39) | (~v163(constB39)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB39)) | (~v166(constB39)) | v170(constB39))),
% 35.31/23.91 inference(transitivity,[status(thm)],[32253, 32251])).
% 35.31/23.91 tff(32255,plain,
% 35.31/23.91 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB39)) | v170(constB39) | (~v163(constB39)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32256,plain,
% 35.31/23.91 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB39)) | (~v166(constB39)) | v170(constB39)),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32255, 32254])).
% 35.31/23.91 tff(32257,plain,
% 35.31/23.91 (~v163(constB39)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32256, 23672, 32250, 32246])).
% 35.31/23.91 tff(32258,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32259,plain,
% 35.31/23.91 (((~nextState(constB39, constB40)) | v163(constB39) | (~v186(constB40))) <=> (v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40)))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32260,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB39, constB40)) | v163(constB39) | (~v186(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40))))),
% 35.31/23.91 inference(monotonicity,[status(thm)],[32259])).
% 35.31/23.91 tff(32261,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB39, constB40)) | v163(constB39) | (~v186(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40)))),
% 35.31/23.91 inference(transitivity,[status(thm)],[32260, 32258])).
% 35.31/23.91 tff(32262,plain,
% 35.31/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB39, constB40)) | v163(constB39) | (~v186(constB40)))),
% 35.31/23.91 inference(quant_inst,[status(thm)],[])).
% 35.31/23.91 tff(32263,plain,
% 35.31/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40))),
% 35.31/23.91 inference(modus_ponens,[status(thm)],[32262, 32261])).
% 35.31/23.91 tff(32264,plain,
% 35.31/23.91 (v163(constB39) | (~v186(constB40))),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32263, 23806, 7563])).
% 35.31/23.91 tff(32265,plain,
% 35.31/23.91 (~v186(constB40)),
% 35.31/23.91 inference(unit_resolution,[status(thm)],[32264, 32257])).
% 35.31/23.91 tff(32266,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB39, constB40)) | v181(constB40) | v104(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB39, constB40)) | v181(constB40) | v104(constB40))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32267,plain,
% 35.31/23.91 (((~nextState(constB39, constB40)) | v104(constB40) | v181(constB40)) <=> ((~nextState(constB39, constB40)) | v181(constB40) | v104(constB40))),
% 35.31/23.91 inference(rewrite,[status(thm)],[])).
% 35.31/23.91 tff(32268,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v181(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB39, constB40)) | v181(constB40) | v104(constB40)))),
% 35.31/23.91 inference(monotonicity,[status(thm)],[32267])).
% 35.31/23.91 tff(32269,plain,
% 35.31/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v181(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB39, constB40)) | v181(constB40) | v104(constB40))),
% 35.31/23.92 inference(transitivity,[status(thm)],[32268, 32266])).
% 35.31/23.92 tff(32270,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v181(constB40))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32271,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB39, constB40)) | v181(constB40) | v104(constB40)),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32270, 32269])).
% 35.31/23.92 tff(32272,plain,
% 35.31/23.92 (v181(constB40) | v104(constB40)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32271, 23828, 7563])).
% 35.31/23.92 tff(32273,plain,
% 35.31/23.92 (v181(constB40)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32272, 7575])).
% 35.31/23.92 tff(32274,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32275,plain,
% 35.31/23.92 (((~nextState(constB39, constB40)) | (~v1(constB40)) | v180(constB40) | (~v181(constB40))) <=> ((~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32276,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v180(constB40) | (~v181(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40))))),
% 35.31/23.92 inference(monotonicity,[status(thm)],[32275])).
% 35.31/23.92 tff(32277,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v180(constB40) | (~v181(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40)))),
% 35.31/23.92 inference(transitivity,[status(thm)],[32276, 32274])).
% 35.31/23.92 tff(32278,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v180(constB40) | (~v181(constB40)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32279,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32278, 32277])).
% 35.31/23.92 tff(32280,plain,
% 35.31/23.92 (v180(constB40) | (~v181(constB40))),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32279, 23846, 7563, 7586])).
% 35.31/23.92 tff(32281,plain,
% 35.31/23.92 (v180(constB40)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32280, 32273])).
% 35.31/23.92 tff(32282,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB39, constB40)) | v179(constB40) | (~v180(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB39, constB40)) | v179(constB40) | (~v180(constB40)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32283,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB39, constB40)) | v179(constB40) | (~v180(constB40)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32284,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB39, constB40)) | v179(constB40) | (~v180(constB40))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32283, 32282])).
% 35.31/23.92 tff(32285,plain,
% 35.31/23.92 (v179(constB40) | (~v180(constB40))),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32284, 23864, 7563])).
% 35.31/23.92 tff(32286,plain,
% 35.31/23.92 (v179(constB40)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32285, 32281])).
% 35.31/23.92 tff(32287,plain,
% 35.31/23.92 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB40)) | v186(constB40) | (~v179(constB40)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB40)) | v186(constB40) | (~v179(constB40)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32288,plain,
% 35.31/23.92 (((~v179(constB40)) | (~v159(constB40)) | v186(constB40)) <=> ((~v159(constB40)) | v186(constB40) | (~v179(constB40)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32289,plain,
% 35.31/23.92 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB40)) | (~v159(constB40)) | v186(constB40))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB40)) | v186(constB40) | (~v179(constB40))))),
% 35.31/23.92 inference(monotonicity,[status(thm)],[32288])).
% 35.31/23.92 tff(32290,plain,
% 35.31/23.92 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB40)) | (~v159(constB40)) | v186(constB40))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB40)) | v186(constB40) | (~v179(constB40)))),
% 35.31/23.92 inference(transitivity,[status(thm)],[32289, 32287])).
% 35.31/23.92 tff(32291,plain,
% 35.31/23.92 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB40)) | (~v159(constB40)) | v186(constB40))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32292,plain,
% 35.31/23.92 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB40)) | v186(constB40) | (~v179(constB40))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32291, 32290])).
% 35.31/23.92 tff(32293,plain,
% 35.31/23.92 ((~v159(constB40)) | v186(constB40)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32292, 23879, 32286])).
% 35.31/23.92 tff(32294,plain,
% 35.31/23.92 (~v159(constB40)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32293, 32265])).
% 35.31/23.92 tff(32295,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32296,plain,
% 35.31/23.92 (((~nextState(constB40, constB41)) | v1(constB41) | (~v180(constB41))) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32297,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB40, constB41)) | v1(constB41) | (~v180(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41))))),
% 35.31/23.92 inference(monotonicity,[status(thm)],[32296])).
% 35.31/23.92 tff(32298,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB40, constB41)) | v1(constB41) | (~v180(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41)))),
% 35.31/23.92 inference(transitivity,[status(thm)],[32297, 32295])).
% 35.31/23.92 tff(32299,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB40, constB41)) | v1(constB41) | (~v180(constB41)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32300,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32299, 32298])).
% 35.31/23.92 tff(32301,plain,
% 35.31/23.92 (~v180(constB41)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32300, 23900, 7634, 7631])).
% 35.31/23.92 tff(32302,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32303,plain,
% 35.31/23.92 (((~nextState(constB40, constB41)) | (~v179(constB41)) | v180(constB41)) <=> ((~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32304,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB40, constB41)) | (~v179(constB41)) | v180(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41))))),
% 35.31/23.92 inference(monotonicity,[status(thm)],[32303])).
% 35.31/23.92 tff(32305,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB40, constB41)) | (~v179(constB41)) | v180(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41)))),
% 35.31/23.92 inference(transitivity,[status(thm)],[32304, 32302])).
% 35.31/23.92 tff(32306,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB40, constB41)) | (~v179(constB41)) | v180(constB41))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32307,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32306, 32305])).
% 35.31/23.92 tff(32308,plain,
% 35.31/23.92 (v180(constB41) | (~v179(constB41))),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32307, 23917, 7634])).
% 35.31/23.92 tff(32309,plain,
% 35.31/23.92 (~v179(constB41)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32308, 32301])).
% 35.31/23.92 tff(32310,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32311,plain,
% 35.31/23.92 (((~nextState(constB40, constB41)) | v179(constB41) | v159(constB40) | (~v159(constB41))) <=> (v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32312,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB40, constB41)) | v179(constB41) | v159(constB40) | (~v159(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41))))),
% 35.31/23.92 inference(monotonicity,[status(thm)],[32311])).
% 35.31/23.92 tff(32313,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB40, constB41)) | v179(constB41) | v159(constB40) | (~v159(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41)))),
% 35.31/23.92 inference(transitivity,[status(thm)],[32312, 32310])).
% 35.31/23.92 tff(32314,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB40, constB41)) | v179(constB41) | v159(constB40) | (~v159(constB41)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32315,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32314, 32313])).
% 35.31/23.92 tff(32316,plain,
% 35.31/23.92 (v159(constB40) | v179(constB41) | (~v159(constB41))),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32315, 23935, 7634])).
% 35.31/23.92 tff(32317,plain,
% 35.31/23.92 (v159(constB40) | (~v159(constB41))),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32316, 32309])).
% 35.31/23.92 tff(32318,plain,
% 35.31/23.92 (~v159(constB41)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32317, 32294])).
% 35.31/23.92 tff(32319,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB41) | (~v201(constB41)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB41) | (~v201(constB41)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32320,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB41) | (~v201(constB41)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32321,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB41) | (~v201(constB41))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32320, 32319])).
% 35.31/23.92 tff(32322,plain,
% 35.31/23.92 (~v201(constB41)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32321, 23951, 32318])).
% 35.31/23.92 tff(32323,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB41) | (~v200(constB41)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB41) | (~v200(constB41)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32324,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB41) | (~v200(constB41)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32325,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB41) | (~v200(constB41))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32324, 32323])).
% 35.31/23.92 tff(32326,plain,
% 35.31/23.92 (~v200(constB41)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32325, 23697, 32322])).
% 35.31/23.92 tff(32327,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB41) | (~v198(constB41)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB41) | (~v198(constB41)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32328,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB41) | (~v198(constB41)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32329,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB41) | (~v198(constB41))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32328, 32327])).
% 35.31/23.92 tff(32330,plain,
% 35.31/23.92 (~v198(constB41)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32329, 23708, 32326])).
% 35.31/23.92 tff(32331,assumption,(v18(constB42)), introduced(assumption)).
% 35.31/23.92 tff(32332,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB42))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32333,plain,
% 35.31/23.92 ($false),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32332, 8, 32331])).
% 35.31/23.92 tff(32334,plain,(~v18(constB42)), inference(lemma,lemma(discharge,[]))).
% 35.31/23.92 tff(32335,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32336,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32337,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32336, 32335])).
% 35.31/23.92 tff(32338,plain,
% 35.31/23.92 (v22(constB42)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32337, 21, 7791])).
% 35.31/23.92 tff(32339,plain,
% 35.31/23.92 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB42)) | (~v22(constB42)) | v18(constB42))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB42)) | (~v22(constB42)) | v18(constB42))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32340,plain,
% 35.31/23.92 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB42)) | (~v22(constB42)) | v18(constB42))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32341,plain,
% 35.31/23.92 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB42)) | (~v22(constB42)) | v18(constB42)),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32340, 32339])).
% 35.31/23.92 tff(32342,plain,
% 35.31/23.92 ((~v19(constB42)) | v18(constB42)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32341, 35, 32338])).
% 35.31/23.92 tff(32343,plain,
% 35.31/23.92 (~v19(constB42)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32342, 32334])).
% 35.31/23.92 tff(32344,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32345,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32346,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42)),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32345, 32344])).
% 35.31/23.92 tff(32347,plain,
% 35.31/23.92 (v13(constB42)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32346, 50, 32343])).
% 35.31/23.92 tff(32348,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32349,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32350,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41)),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32349, 32348])).
% 35.31/23.92 tff(32351,plain,
% 35.31/23.92 ((~v13(constB42)) | v9(constB41)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32350, 67, 7768])).
% 35.31/23.92 tff(32352,plain,
% 35.31/23.92 (v9(constB41)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32351, 32347])).
% 35.31/23.92 tff(32353,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v197(constB41))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB41) | (~v9(constB41)) | v197(constB41))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32354,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v197(constB41))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32355,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB41) | (~v9(constB41)) | v197(constB41)),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32354, 32353])).
% 35.31/23.92 tff(32356,plain,
% 35.31/23.92 ((~v9(constB41)) | v197(constB41)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32355, 85, 7631])).
% 35.31/23.92 tff(32357,plain,
% 35.31/23.92 (v197(constB41)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32356, 32352])).
% 35.31/23.92 tff(32358,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB41) | (~v197(constB41)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB41) | (~v197(constB41)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32359,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB41) | (~v197(constB41)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32360,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB41) | (~v197(constB41))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32359, 32358])).
% 35.31/23.92 tff(32361,plain,
% 35.31/23.92 (v196(constB41)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32360, 97, 32357])).
% 35.31/23.92 tff(32362,plain,
% 35.31/23.92 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB41)) | (~v196(constB41)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB41)) | (~v196(constB41)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32363,plain,
% 35.31/23.92 (((~v196(constB41)) | (~v194(constB41))) <=> ((~v194(constB41)) | (~v196(constB41)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32364,plain,
% 35.31/23.92 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB41)) | (~v194(constB41)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB41)) | (~v196(constB41))))),
% 35.31/23.92 inference(monotonicity,[status(thm)],[32363])).
% 35.31/23.92 tff(32365,plain,
% 35.31/23.92 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB41)) | (~v194(constB41)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB41)) | (~v196(constB41)))),
% 35.31/23.92 inference(transitivity,[status(thm)],[32364, 32362])).
% 35.31/23.92 tff(32366,plain,
% 35.31/23.92 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB41)) | (~v194(constB41)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32367,plain,
% 35.31/23.92 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB41)) | (~v196(constB41))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32366, 32365])).
% 35.31/23.92 tff(32368,plain,
% 35.31/23.92 (~v194(constB41)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32367, 108, 32361])).
% 35.31/23.92 tff(32369,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB41) | v198(constB41) | (~v191(constB41)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB41) | v198(constB41) | (~v191(constB41)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32370,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB41) | v198(constB41) | (~v191(constB41)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32371,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB41) | v198(constB41) | (~v191(constB41))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32370, 32369])).
% 35.31/23.92 tff(32372,plain,
% 35.31/23.92 (v198(constB41) | (~v191(constB41))),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32371, 23722, 32368])).
% 35.31/23.92 tff(32373,plain,
% 35.31/23.92 (~v191(constB41)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32372, 32330])).
% 35.31/23.92 tff(32374,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB41, constB42)) | v191(constB41) | (~v193(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB41, constB42)) | v191(constB41) | (~v193(constB42)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32375,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB41, constB42)) | v191(constB41) | (~v193(constB42)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32376,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB41, constB42)) | v191(constB41) | (~v193(constB42))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32375, 32374])).
% 35.31/23.92 tff(32377,plain,
% 35.31/23.92 (v191(constB41) | (~v193(constB42))),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32376, 23737, 7768])).
% 35.31/23.92 tff(32378,plain,
% 35.31/23.92 (~v193(constB42)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32377, 32373])).
% 35.31/23.92 tff(32379,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB42) | (~v194(constB42)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB42) | (~v194(constB42)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32380,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB42) | (~v194(constB42)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32381,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB42) | (~v194(constB42))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32380, 32379])).
% 35.31/23.92 tff(32382,plain,
% 35.31/23.92 (~v194(constB42)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32381, 23749, 32378])).
% 35.31/23.92 tff(32383,plain,
% 35.31/23.92 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB42)) | (~v197(constB42)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB42)) | (~v197(constB42)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32384,plain,
% 35.31/23.92 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB42)) | (~v197(constB42)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32385,plain,
% 35.31/23.92 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB42)) | (~v197(constB42))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32384, 32383])).
% 35.31/23.92 tff(32386,plain,
% 35.31/23.92 (~v197(constB42)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32385, 23760, 7791])).
% 35.31/23.92 tff(32387,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB42) | (~v200(constB42)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB42) | (~v200(constB42)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32388,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB42) | (~v200(constB42)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32389,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB42) | (~v200(constB42))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32388, 32387])).
% 35.31/23.92 tff(32390,plain,
% 35.31/23.92 (~v200(constB42)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32389, 23771, 32386])).
% 35.31/23.92 tff(32391,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB42) | (~v198(constB42)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB42) | (~v198(constB42)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32392,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB42) | (~v198(constB42)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32393,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB42) | (~v198(constB42))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32392, 32391])).
% 35.31/23.92 tff(32394,plain,
% 35.31/23.92 (~v198(constB42)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32393, 23708, 32390])).
% 35.31/23.92 tff(32395,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB42) | v198(constB42) | (~v191(constB42)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB42) | v198(constB42) | (~v191(constB42)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32396,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB42) | v198(constB42) | (~v191(constB42)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32397,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB42) | v198(constB42) | (~v191(constB42))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32396, 32395])).
% 35.31/23.92 tff(32398,plain,
% 35.31/23.92 (v194(constB42) | (~v191(constB42))),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32397, 23722, 32394])).
% 35.31/23.92 tff(32399,plain,
% 35.31/23.92 (~v191(constB42)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32398, 32382])).
% 35.31/23.92 tff(32400,plain,
% 35.31/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB42, constB43)) | v191(constB42) | (~v193(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB42, constB43)) | v191(constB42) | (~v193(constB43)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32401,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB42, constB43)) | v191(constB42) | (~v193(constB43)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32402,plain,
% 35.31/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB42, constB43)) | v191(constB42) | (~v193(constB43))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32401, 32400])).
% 35.31/23.92 tff(32403,plain,
% 35.31/23.92 (v191(constB42) | (~v193(constB43))),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32402, 23737, 7839])).
% 35.31/23.92 tff(32404,plain,
% 35.31/23.92 (~v193(constB43)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32403, 32399])).
% 35.31/23.92 tff(32405,plain,
% 35.31/23.92 ($false),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32404, 32211])).
% 35.31/23.92 tff(32406,plain,(~(constB43 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.31/23.92 tff(32407,assumption,(constB196 = sK0_VarCurr), introduced(assumption)).
% 35.31/23.92 tff(32408,plain,
% 35.31/23.92 (v1(constB196) <=> v1(sK0_VarCurr)),
% 35.31/23.92 inference(monotonicity,[status(thm)],[32407])).
% 35.31/23.92 tff(32409,plain,
% 35.31/23.92 (v1(sK0_VarCurr) <=> v1(constB196)),
% 35.31/23.92 inference(symmetry,[status(thm)],[32408])).
% 35.31/23.92 tff(32410,plain,
% 35.31/23.92 ((~v1(sK0_VarCurr)) <=> (~v1(constB196))),
% 35.31/23.92 inference(monotonicity,[status(thm)],[32409])).
% 35.31/23.92 tff(32411,plain,
% 35.31/23.92 (~v1(constB196)),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[29884, 32410])).
% 35.31/23.92 tff(32412,plain,
% 35.31/23.92 (v1(constB196) <=> v1(constB196)),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32413,axiom,(v1(constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_196_1')).
% 35.31/23.92 tff(32414,plain,
% 35.31/23.92 (v1(constB196)),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32413, 32412])).
% 35.31/23.92 tff(32415,plain,
% 35.31/23.92 ($false),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32414, 32411])).
% 35.31/23.92 tff(32416,plain,(~(constB196 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.31/23.92 tff(32417,assumption,(constB200 = sK0_VarCurr), introduced(assumption)).
% 35.31/23.92 tff(32418,plain,
% 35.31/23.92 (v1(constB200) <=> v1(sK0_VarCurr)),
% 35.31/23.92 inference(monotonicity,[status(thm)],[32417])).
% 35.31/23.92 tff(32419,plain,
% 35.31/23.92 (v1(sK0_VarCurr) <=> v1(constB200)),
% 35.31/23.92 inference(symmetry,[status(thm)],[32418])).
% 35.31/23.92 tff(32420,plain,
% 35.31/23.92 ((~v1(sK0_VarCurr)) <=> (~v1(constB200))),
% 35.31/23.92 inference(monotonicity,[status(thm)],[32419])).
% 35.31/23.92 tff(32421,plain,
% 35.31/23.92 (~v1(constB200)),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[29884, 32420])).
% 35.31/23.92 tff(32422,plain,
% 35.31/23.92 (v1(constB200) <=> v1(constB200)),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32423,axiom,(v1(constB200)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_200_1')).
% 35.31/23.92 tff(32424,plain,
% 35.31/23.92 (v1(constB200)),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32423, 32422])).
% 35.31/23.92 tff(32425,plain,
% 35.31/23.92 ($false),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32424, 32421])).
% 35.31/23.92 tff(32426,plain,(~(constB200 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.31/23.92 tff(32427,assumption,(constB119 = sK0_VarCurr), introduced(assumption)).
% 35.31/23.92 tff(32428,plain,
% 35.31/23.92 (v193(constB119) <=> v193(sK0_VarCurr)),
% 35.31/23.92 inference(monotonicity,[status(thm)],[32427])).
% 35.31/23.92 tff(32429,plain,
% 35.31/23.92 (v193(sK0_VarCurr) <=> v193(constB119)),
% 35.31/23.92 inference(symmetry,[status(thm)],[32428])).
% 35.31/23.92 tff(32430,plain,
% 35.31/23.92 (v193(constB119)),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[24025, 32429])).
% 35.31/23.92 tff(32431,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB115, bitIndex2) | (~v88(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB115, bitIndex2) | (~v88(constB115, bitIndex2)))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32432,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB115, bitIndex2) | (~v88(constB115, bitIndex2)))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32433,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB115, bitIndex2) | (~v88(constB115, bitIndex2))),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32432, 32431])).
% 35.31/23.92 tff(32434,plain,
% 35.31/23.92 (~v88(constB115, bitIndex2)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32433, 24075, 17575])).
% 35.31/23.92 tff(32435,plain,
% 35.31/23.92 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32436,plain,
% 35.31/23.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32437,plain,
% 35.31/23.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1)),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32436, 32435])).
% 35.31/23.92 tff(32438,plain,
% 35.31/23.92 (v88(constB115, bitIndex1)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32437, 23528, 17606])).
% 35.31/23.92 tff(32439,plain,
% 35.31/23.92 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32440,plain,
% 35.31/23.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0))),
% 35.31/23.92 inference(quant_inst,[status(thm)],[])).
% 35.31/23.92 tff(32441,plain,
% 35.31/23.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0)),
% 35.31/23.92 inference(modus_ponens,[status(thm)],[32440, 32439])).
% 35.31/23.92 tff(32442,plain,
% 35.31/23.92 (v88(constB115, bitIndex0)),
% 35.31/23.92 inference(unit_resolution,[status(thm)],[32441, 30373, 17637])).
% 35.31/23.92 tff(32443,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB115, bitIndex0)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | v141(constB115))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB115, bitIndex0)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | v141(constB115))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32444,plain,
% 35.31/23.92 ((v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115)) <=> ((~v88(constB115, bitIndex0)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | v141(constB115))),
% 35.31/23.92 inference(rewrite,[status(thm)],[])).
% 35.31/23.92 tff(32445,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB115, bitIndex0)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | v141(constB115)))),
% 35.31/23.92 inference(monotonicity,[status(thm)],[32444])).
% 35.31/23.92 tff(32446,plain,
% 35.31/23.92 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB115, bitIndex0)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | v141(constB115))),
% 35.31/23.92 inference(transitivity,[status(thm)],[32445, 32443])).
% 35.31/23.92 tff(32447,plain,
% 35.31/23.92 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32448,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB115, bitIndex0)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | v141(constB115)),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32447, 32446])).
% 35.31/23.93 tff(32449,plain,
% 35.31/23.93 (v141(constB115)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32448, 30387, 32442, 32438, 32434])).
% 35.31/23.93 tff(32450,plain,
% 35.31/23.93 (((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB115) | (~v141(constB115)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB115) | (~v141(constB115)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32451,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB115) | (~v141(constB115)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32452,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB115) | (~v141(constB115))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32451, 32450])).
% 35.31/23.93 tff(32453,plain,
% 35.31/23.93 (v168(constB115)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32452, 30401, 32449])).
% 35.31/23.93 tff(32454,plain,
% 35.31/23.93 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB115) | (~v168(constB115)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB115) | (~v168(constB115)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32455,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB115) | (~v168(constB115)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32456,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB115) | (~v168(constB115))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32455, 32454])).
% 35.31/23.93 tff(32457,plain,
% 35.31/23.93 (v167(constB115)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32456, 30412, 32453])).
% 35.31/23.93 tff(32458,plain,
% 35.31/23.93 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB115)) | (~v170(constB115)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB115)) | (~v170(constB115)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32459,plain,
% 35.31/23.93 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB115)) | (~v170(constB115)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32460,plain,
% 35.31/23.93 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB115)) | (~v170(constB115))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32459, 32458])).
% 35.31/23.93 tff(32461,plain,
% 35.31/23.93 (~v170(constB115)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32460, 23647, 32457])).
% 35.31/23.93 tff(32462,plain,
% 35.31/23.93 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB115) | (~v167(constB115)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB115) | (~v167(constB115)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32463,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB115) | (~v167(constB115)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32464,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB115) | (~v167(constB115))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32463, 32462])).
% 35.31/23.93 tff(32465,plain,
% 35.31/23.93 (v166(constB115)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32464, 23658, 32457])).
% 35.31/23.93 tff(32466,plain,
% 35.31/23.93 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB115)) | (~v166(constB115)) | v170(constB115))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB115)) | (~v166(constB115)) | v170(constB115))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32467,plain,
% 35.31/23.93 (((~v166(constB115)) | v170(constB115) | (~v163(constB115))) <=> ((~v163(constB115)) | (~v166(constB115)) | v170(constB115))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32468,plain,
% 35.31/23.93 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB115)) | v170(constB115) | (~v163(constB115)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB115)) | (~v166(constB115)) | v170(constB115)))),
% 35.31/23.93 inference(monotonicity,[status(thm)],[32467])).
% 35.31/23.93 tff(32469,plain,
% 35.31/23.93 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB115)) | v170(constB115) | (~v163(constB115)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB115)) | (~v166(constB115)) | v170(constB115))),
% 35.31/23.93 inference(transitivity,[status(thm)],[32468, 32466])).
% 35.31/23.93 tff(32470,plain,
% 35.31/23.93 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB115)) | v170(constB115) | (~v163(constB115)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32471,plain,
% 35.31/23.93 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB115)) | (~v166(constB115)) | v170(constB115)),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32470, 32469])).
% 35.31/23.93 tff(32472,plain,
% 35.31/23.93 (~v163(constB115)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32471, 23672, 32465, 32461])).
% 35.31/23.93 tff(32473,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32474,plain,
% 35.31/23.93 (((~nextState(constB115, constB116)) | v163(constB115) | (~v186(constB116))) <=> (v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32475,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB115, constB116)) | v163(constB115) | (~v186(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116))))),
% 35.31/23.93 inference(monotonicity,[status(thm)],[32474])).
% 35.31/23.93 tff(32476,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB115, constB116)) | v163(constB115) | (~v186(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116)))),
% 35.31/23.93 inference(transitivity,[status(thm)],[32475, 32473])).
% 35.31/23.93 tff(32477,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB115, constB116)) | v163(constB115) | (~v186(constB116)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32478,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32477, 32476])).
% 35.31/23.93 tff(32479,plain,
% 35.31/23.93 (v163(constB115) | (~v186(constB116))),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32478, 23806, 17673])).
% 35.31/23.93 tff(32480,plain,
% 35.31/23.93 (~v186(constB116)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32479, 32472])).
% 35.31/23.93 tff(32481,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB115, constB116)) | v181(constB116) | v104(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB115, constB116)) | v181(constB116) | v104(constB116))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32482,plain,
% 35.31/23.93 (((~nextState(constB115, constB116)) | v104(constB116) | v181(constB116)) <=> ((~nextState(constB115, constB116)) | v181(constB116) | v104(constB116))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32483,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v181(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB115, constB116)) | v181(constB116) | v104(constB116)))),
% 35.31/23.93 inference(monotonicity,[status(thm)],[32482])).
% 35.31/23.93 tff(32484,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v181(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB115, constB116)) | v181(constB116) | v104(constB116))),
% 35.31/23.93 inference(transitivity,[status(thm)],[32483, 32481])).
% 35.31/23.93 tff(32485,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v181(constB116))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32486,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB115, constB116)) | v181(constB116) | v104(constB116)),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32485, 32484])).
% 35.31/23.93 tff(32487,plain,
% 35.31/23.93 (v181(constB116) | v104(constB116)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32486, 23828, 17673])).
% 35.31/23.93 tff(32488,plain,
% 35.31/23.93 (v181(constB116)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32487, 17685])).
% 35.31/23.93 tff(32489,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32490,plain,
% 35.31/23.93 (((~nextState(constB115, constB116)) | (~v1(constB116)) | v180(constB116) | (~v181(constB116))) <=> ((~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32491,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v180(constB116) | (~v181(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116))))),
% 35.31/23.93 inference(monotonicity,[status(thm)],[32490])).
% 35.31/23.93 tff(32492,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v180(constB116) | (~v181(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116)))),
% 35.31/23.93 inference(transitivity,[status(thm)],[32491, 32489])).
% 35.31/23.93 tff(32493,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v180(constB116) | (~v181(constB116)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32494,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32493, 32492])).
% 35.31/23.93 tff(32495,plain,
% 35.31/23.93 (v180(constB116) | (~v181(constB116))),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32494, 23846, 17673, 17696])).
% 35.31/23.93 tff(32496,plain,
% 35.31/23.93 (v180(constB116)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32495, 32488])).
% 35.31/23.93 tff(32497,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB115, constB116)) | v179(constB116) | (~v180(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB115, constB116)) | v179(constB116) | (~v180(constB116)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32498,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB115, constB116)) | v179(constB116) | (~v180(constB116)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32499,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB115, constB116)) | v179(constB116) | (~v180(constB116))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32498, 32497])).
% 35.31/23.93 tff(32500,plain,
% 35.31/23.93 (v179(constB116) | (~v180(constB116))),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32499, 23864, 17673])).
% 35.31/23.93 tff(32501,plain,
% 35.31/23.93 (v179(constB116)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32500, 32496])).
% 35.31/23.93 tff(32502,plain,
% 35.31/23.93 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB116)) | v186(constB116) | (~v179(constB116)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB116)) | v186(constB116) | (~v179(constB116)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32503,plain,
% 35.31/23.93 (((~v179(constB116)) | (~v159(constB116)) | v186(constB116)) <=> ((~v159(constB116)) | v186(constB116) | (~v179(constB116)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32504,plain,
% 35.31/23.93 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB116)) | (~v159(constB116)) | v186(constB116))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB116)) | v186(constB116) | (~v179(constB116))))),
% 35.31/23.93 inference(monotonicity,[status(thm)],[32503])).
% 35.31/23.93 tff(32505,plain,
% 35.31/23.93 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB116)) | (~v159(constB116)) | v186(constB116))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB116)) | v186(constB116) | (~v179(constB116)))),
% 35.31/23.93 inference(transitivity,[status(thm)],[32504, 32502])).
% 35.31/23.93 tff(32506,plain,
% 35.31/23.93 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB116)) | (~v159(constB116)) | v186(constB116))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32507,plain,
% 35.31/23.93 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB116)) | v186(constB116) | (~v179(constB116))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32506, 32505])).
% 35.31/23.93 tff(32508,plain,
% 35.31/23.93 ((~v159(constB116)) | v186(constB116)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32507, 23879, 32501])).
% 35.31/23.93 tff(32509,plain,
% 35.31/23.93 (~v159(constB116)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32508, 32480])).
% 35.31/23.93 tff(32510,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32511,plain,
% 35.31/23.93 (((~nextState(constB116, constB117)) | v1(constB117) | (~v180(constB117))) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32512,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB116, constB117)) | v1(constB117) | (~v180(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117))))),
% 35.31/23.93 inference(monotonicity,[status(thm)],[32511])).
% 35.31/23.93 tff(32513,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB116, constB117)) | v1(constB117) | (~v180(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117)))),
% 35.31/23.93 inference(transitivity,[status(thm)],[32512, 32510])).
% 35.31/23.93 tff(32514,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB116, constB117)) | v1(constB117) | (~v180(constB117)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32515,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32514, 32513])).
% 35.31/23.93 tff(32516,plain,
% 35.31/23.93 (~v180(constB117)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32515, 23900, 17741, 17738])).
% 35.31/23.93 tff(32517,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32518,plain,
% 35.31/23.93 (((~nextState(constB116, constB117)) | (~v179(constB117)) | v180(constB117)) <=> ((~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32519,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB116, constB117)) | (~v179(constB117)) | v180(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117))))),
% 35.31/23.93 inference(monotonicity,[status(thm)],[32518])).
% 35.31/23.93 tff(32520,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB116, constB117)) | (~v179(constB117)) | v180(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117)))),
% 35.31/23.93 inference(transitivity,[status(thm)],[32519, 32517])).
% 35.31/23.93 tff(32521,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB116, constB117)) | (~v179(constB117)) | v180(constB117))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32522,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32521, 32520])).
% 35.31/23.93 tff(32523,plain,
% 35.31/23.93 (v180(constB117) | (~v179(constB117))),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32522, 23917, 17741])).
% 35.31/23.93 tff(32524,plain,
% 35.31/23.93 (~v179(constB117)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32523, 32516])).
% 35.31/23.93 tff(32525,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32526,plain,
% 35.31/23.93 (((~nextState(constB116, constB117)) | v179(constB117) | v159(constB116) | (~v159(constB117))) <=> (v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32527,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB116, constB117)) | v179(constB117) | v159(constB116) | (~v159(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117))))),
% 35.31/23.93 inference(monotonicity,[status(thm)],[32526])).
% 35.31/23.93 tff(32528,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB116, constB117)) | v179(constB117) | v159(constB116) | (~v159(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117)))),
% 35.31/23.93 inference(transitivity,[status(thm)],[32527, 32525])).
% 35.31/23.93 tff(32529,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB116, constB117)) | v179(constB117) | v159(constB116) | (~v159(constB117)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32530,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32529, 32528])).
% 35.31/23.93 tff(32531,plain,
% 35.31/23.93 (v159(constB116) | v179(constB117) | (~v159(constB117))),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32530, 23935, 17741])).
% 35.31/23.93 tff(32532,plain,
% 35.31/23.93 (v159(constB116) | (~v159(constB117))),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32531, 32524])).
% 35.31/23.93 tff(32533,plain,
% 35.31/23.93 (~v159(constB117)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32532, 32509])).
% 35.31/23.93 tff(32534,plain,
% 35.31/23.93 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB117) | (~v201(constB117)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB117) | (~v201(constB117)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32535,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB117) | (~v201(constB117)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32536,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB117) | (~v201(constB117))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32535, 32534])).
% 35.31/23.93 tff(32537,plain,
% 35.31/23.93 (~v201(constB117)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32536, 23951, 32533])).
% 35.31/23.93 tff(32538,plain,
% 35.31/23.93 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB117) | (~v200(constB117)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB117) | (~v200(constB117)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32539,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB117) | (~v200(constB117)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32540,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB117) | (~v200(constB117))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32539, 32538])).
% 35.31/23.93 tff(32541,plain,
% 35.31/23.93 (~v200(constB117)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32540, 23697, 32537])).
% 35.31/23.93 tff(32542,plain,
% 35.31/23.93 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB117) | (~v198(constB117)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB117) | (~v198(constB117)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32543,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB117) | (~v198(constB117)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32544,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB117) | (~v198(constB117))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32543, 32542])).
% 35.31/23.93 tff(32545,plain,
% 35.31/23.93 (~v198(constB117)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32544, 23708, 32541])).
% 35.31/23.93 tff(32546,assumption,(v18(constB118)), introduced(assumption)).
% 35.31/23.93 tff(32547,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB118))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32548,plain,
% 35.31/23.93 ($false),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32547, 8, 32546])).
% 35.31/23.93 tff(32549,plain,(~v18(constB118)), inference(lemma,lemma(discharge,[]))).
% 35.31/23.93 tff(32550,plain,
% 35.31/23.93 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32551,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32552,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32551, 32550])).
% 35.31/23.93 tff(32553,plain,
% 35.31/23.93 (v22(constB118)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32552, 21, 17885])).
% 35.31/23.93 tff(32554,plain,
% 35.31/23.93 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB118)) | (~v22(constB118)) | v18(constB118))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB118)) | (~v22(constB118)) | v18(constB118))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32555,plain,
% 35.31/23.93 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB118)) | (~v22(constB118)) | v18(constB118))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32556,plain,
% 35.31/23.93 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB118)) | (~v22(constB118)) | v18(constB118)),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32555, 32554])).
% 35.31/23.93 tff(32557,plain,
% 35.31/23.93 ((~v19(constB118)) | v18(constB118)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32556, 35, 32553])).
% 35.31/23.93 tff(32558,plain,
% 35.31/23.93 (~v19(constB118)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32557, 32549])).
% 35.31/23.93 tff(32559,plain,
% 35.31/23.93 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32560,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32561,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118)),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32560, 32559])).
% 35.31/23.93 tff(32562,plain,
% 35.31/23.93 (v13(constB118)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32561, 50, 32558])).
% 35.31/23.93 tff(32563,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32564,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32565,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117)),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32564, 32563])).
% 35.31/23.93 tff(32566,plain,
% 35.31/23.93 ((~v13(constB118)) | v9(constB117)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32565, 67, 17862])).
% 35.31/23.93 tff(32567,plain,
% 35.31/23.93 (v9(constB117)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32566, 32562])).
% 35.31/23.93 tff(32568,plain,
% 35.31/23.93 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v197(constB117))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB117) | (~v9(constB117)) | v197(constB117))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32569,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v197(constB117))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32570,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB117) | (~v9(constB117)) | v197(constB117)),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32569, 32568])).
% 35.31/23.93 tff(32571,plain,
% 35.31/23.93 ((~v9(constB117)) | v197(constB117)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32570, 85, 17738])).
% 35.31/23.93 tff(32572,plain,
% 35.31/23.93 (v197(constB117)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32571, 32567])).
% 35.31/23.93 tff(32573,plain,
% 35.31/23.93 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB117) | (~v197(constB117)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB117) | (~v197(constB117)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32574,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB117) | (~v197(constB117)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32575,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB117) | (~v197(constB117))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32574, 32573])).
% 35.31/23.93 tff(32576,plain,
% 35.31/23.93 (v196(constB117)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32575, 97, 32572])).
% 35.31/23.93 tff(32577,plain,
% 35.31/23.93 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB117)) | (~v196(constB117)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB117)) | (~v196(constB117)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32578,plain,
% 35.31/23.93 (((~v196(constB117)) | (~v194(constB117))) <=> ((~v194(constB117)) | (~v196(constB117)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32579,plain,
% 35.31/23.93 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB117)) | (~v194(constB117)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB117)) | (~v196(constB117))))),
% 35.31/23.93 inference(monotonicity,[status(thm)],[32578])).
% 35.31/23.93 tff(32580,plain,
% 35.31/23.93 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB117)) | (~v194(constB117)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB117)) | (~v196(constB117)))),
% 35.31/23.93 inference(transitivity,[status(thm)],[32579, 32577])).
% 35.31/23.93 tff(32581,plain,
% 35.31/23.93 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB117)) | (~v194(constB117)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32582,plain,
% 35.31/23.93 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB117)) | (~v196(constB117))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32581, 32580])).
% 35.31/23.93 tff(32583,plain,
% 35.31/23.93 (~v194(constB117)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32582, 108, 32576])).
% 35.31/23.93 tff(32584,plain,
% 35.31/23.93 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB117) | v198(constB117) | (~v191(constB117)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB117) | v198(constB117) | (~v191(constB117)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32585,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB117) | v198(constB117) | (~v191(constB117)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32586,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB117) | v198(constB117) | (~v191(constB117))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32585, 32584])).
% 35.31/23.93 tff(32587,plain,
% 35.31/23.93 (v198(constB117) | (~v191(constB117))),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32586, 23722, 32583])).
% 35.31/23.93 tff(32588,plain,
% 35.31/23.93 (~v191(constB117)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32587, 32545])).
% 35.31/23.93 tff(32589,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB117, constB118)) | v191(constB117) | (~v193(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB117, constB118)) | v191(constB117) | (~v193(constB118)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32590,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB117, constB118)) | v191(constB117) | (~v193(constB118)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32591,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB117, constB118)) | v191(constB117) | (~v193(constB118))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32590, 32589])).
% 35.31/23.93 tff(32592,plain,
% 35.31/23.93 (v191(constB117) | (~v193(constB118))),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32591, 23737, 17862])).
% 35.31/23.93 tff(32593,plain,
% 35.31/23.93 (~v193(constB118)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32592, 32588])).
% 35.31/23.93 tff(32594,plain,
% 35.31/23.93 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB118) | (~v194(constB118)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB118) | (~v194(constB118)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32595,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB118) | (~v194(constB118)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32596,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB118) | (~v194(constB118))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32595, 32594])).
% 35.31/23.93 tff(32597,plain,
% 35.31/23.93 (~v194(constB118)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32596, 23749, 32593])).
% 35.31/23.93 tff(32598,plain,
% 35.31/23.93 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB118)) | (~v197(constB118)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB118)) | (~v197(constB118)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32599,plain,
% 35.31/23.93 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB118)) | (~v197(constB118)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32600,plain,
% 35.31/23.93 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB118)) | (~v197(constB118))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32599, 32598])).
% 35.31/23.93 tff(32601,plain,
% 35.31/23.93 (~v197(constB118)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32600, 23760, 17885])).
% 35.31/23.93 tff(32602,plain,
% 35.31/23.93 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB118) | (~v200(constB118)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB118) | (~v200(constB118)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32603,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB118) | (~v200(constB118)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32604,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB118) | (~v200(constB118))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32603, 32602])).
% 35.31/23.93 tff(32605,plain,
% 35.31/23.93 (~v200(constB118)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32604, 23771, 32601])).
% 35.31/23.93 tff(32606,plain,
% 35.31/23.93 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB118) | (~v198(constB118)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB118) | (~v198(constB118)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32607,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB118) | (~v198(constB118)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32608,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB118) | (~v198(constB118))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32607, 32606])).
% 35.31/23.93 tff(32609,plain,
% 35.31/23.93 (~v198(constB118)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32608, 23708, 32605])).
% 35.31/23.93 tff(32610,plain,
% 35.31/23.93 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB118) | v198(constB118) | (~v191(constB118)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB118) | v198(constB118) | (~v191(constB118)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32611,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB118) | v198(constB118) | (~v191(constB118)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32612,plain,
% 35.31/23.93 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB118) | v198(constB118) | (~v191(constB118))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32611, 32610])).
% 35.31/23.93 tff(32613,plain,
% 35.31/23.93 (v194(constB118) | (~v191(constB118))),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32612, 23722, 32609])).
% 35.31/23.93 tff(32614,plain,
% 35.31/23.93 (~v191(constB118)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32613, 32597])).
% 35.31/23.93 tff(32615,plain,
% 35.31/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB118, constB119)) | v191(constB118) | (~v193(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB118, constB119)) | v191(constB118) | (~v193(constB119)))),
% 35.31/23.93 inference(rewrite,[status(thm)],[])).
% 35.31/23.93 tff(32616,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB118, constB119)) | v191(constB118) | (~v193(constB119)))),
% 35.31/23.93 inference(quant_inst,[status(thm)],[])).
% 35.31/23.93 tff(32617,plain,
% 35.31/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB118, constB119)) | v191(constB118) | (~v193(constB119))),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[32616, 32615])).
% 35.31/23.93 tff(32618,plain,
% 35.31/23.93 (v191(constB118) | (~v193(constB119))),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32617, 23737, 17930])).
% 35.31/23.93 tff(32619,plain,
% 35.31/23.93 (~v193(constB119)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32618, 32614])).
% 35.31/23.93 tff(32620,plain,
% 35.31/23.93 ($false),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[32619, 32430])).
% 35.31/23.93 tff(32621,plain,(~(constB119 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.31/23.93 tff(32622,assumption,(constB144 = sK0_VarCurr), introduced(assumption)).
% 35.31/23.93 tff(32623,plain,
% 35.31/23.93 (v1(constB144) <=> v1(sK0_VarCurr)),
% 35.31/23.93 inference(monotonicity,[status(thm)],[32622])).
% 35.31/23.93 tff(32624,plain,
% 35.31/23.93 (v1(sK0_VarCurr) <=> v1(constB144)),
% 35.31/23.93 inference(symmetry,[status(thm)],[32623])).
% 35.31/23.93 tff(32625,plain,
% 35.31/23.93 ((~v1(sK0_VarCurr)) <=> (~v1(constB144))),
% 35.31/23.93 inference(monotonicity,[status(thm)],[32624])).
% 35.31/23.93 tff(32626,plain,
% 35.31/23.93 (~v1(constB144)),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[29884, 32625])).
% 35.31/23.93 tff(32627,plain,
% 35.31/23.93 ($false),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[20396, 32626])).
% 35.31/23.93 tff(32628,plain,(~(constB144 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.31/23.93 tff(32629,assumption,(constB69 = sK0_VarCurr), introduced(assumption)).
% 35.31/23.93 tff(32630,plain,
% 35.31/23.93 (v193(constB69) <=> v193(sK0_VarCurr)),
% 35.31/23.93 inference(monotonicity,[status(thm)],[32629])).
% 35.31/23.93 tff(32631,plain,
% 35.31/23.93 (v193(sK0_VarCurr) <=> v193(constB69)),
% 35.31/23.93 inference(symmetry,[status(thm)],[32630])).
% 35.31/23.93 tff(32632,plain,
% 35.31/23.93 (v193(constB69)),
% 35.31/23.93 inference(modus_ponens,[status(thm)],[24025, 32631])).
% 35.31/23.93 tff(32633,plain,
% 35.31/23.93 (v118(constB63)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[10202, 936, 10198])).
% 35.31/23.93 tff(32634,plain,
% 35.31/23.93 (v117(constB63)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[10206, 498, 32633])).
% 35.31/23.93 tff(32635,plain,
% 35.31/23.93 (v116(constB63)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[10210, 509, 32634])).
% 35.31/23.93 tff(32636,plain,
% 35.31/23.93 (v115(constB63)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[10214, 520, 32635])).
% 35.31/23.93 tff(32637,plain,
% 35.31/23.93 (v114(constB63)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[10218, 531, 32636])).
% 35.31/23.93 tff(32638,plain,
% 35.31/23.93 (v113(constB63)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[10222, 542, 32637])).
% 35.31/23.93 tff(32639,plain,
% 35.31/23.93 (v112(constB63)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[10234, 32638])).
% 35.31/23.93 tff(32640,plain,
% 35.31/23.93 (v108(constB63)),
% 35.31/23.93 inference(unit_resolution,[status(thm)],[10238, 568, 32639])).
% 35.31/23.94 tff(32641,plain,
% 35.31/23.94 (v110(constB64)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10249, 32640])).
% 35.31/23.94 tff(32642,plain,
% 35.31/23.94 (v100(constB64)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10281, 32641])).
% 35.31/23.94 tff(32643,plain,
% 35.31/23.94 (~v130(constB63, bitIndex2)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10285, 1025, 10198])).
% 35.31/23.94 tff(32644,plain,
% 35.31/23.94 (~v127(constB63, bitIndex2)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10293, 32643])).
% 35.31/23.94 tff(32645,plain,
% 35.31/23.94 (~v129(constB64, bitIndex2)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10298, 32644])).
% 35.31/23.94 tff(32646,plain,
% 35.31/23.94 ((~v90(constB64, bitIndex2)) | (~v100(constB64))),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10305, 722, 32645])).
% 35.31/23.94 tff(32647,plain,
% 35.31/23.94 (~v90(constB64, bitIndex2)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32646, 32642])).
% 35.31/23.94 tff(32648,plain,
% 35.31/23.94 (~v90(constB65, bitIndex2)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10333, 32647])).
% 35.31/23.94 tff(32649,plain,
% 35.31/23.94 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB65, bitIndex2) | (~v88(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB65, bitIndex2) | (~v88(constB65, bitIndex2)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32650,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB65, bitIndex2) | (~v88(constB65, bitIndex2)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32651,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB65, bitIndex2) | (~v88(constB65, bitIndex2))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32650, 32649])).
% 35.31/23.94 tff(32652,plain,
% 35.31/23.94 (~v88(constB65, bitIndex2)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32651, 24075, 32648])).
% 35.31/23.94 tff(32653,plain,
% 35.31/23.94 (~v130(constB63, bitIndex0)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10337, 1168, 10198])).
% 35.31/23.94 tff(32654,plain,
% 35.31/23.94 (~v127(constB63, bitIndex0)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10345, 32653])).
% 35.31/23.94 tff(32655,plain,
% 35.31/23.94 (~v129(constB64, bitIndex0)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10350, 32654])).
% 35.31/23.94 tff(32656,plain,
% 35.31/23.94 ((~v90(constB64, bitIndex0)) | (~v100(constB64))),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10357, 1215, 32655])).
% 35.31/23.94 tff(32657,plain,
% 35.31/23.94 (~v90(constB64, bitIndex0)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32656, 32642])).
% 35.31/23.94 tff(32658,plain,
% 35.31/23.94 (~v90(constB65, bitIndex0)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10367, 32657])).
% 35.31/23.94 tff(32659,plain,
% 35.31/23.94 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB65, bitIndex0) | (~v88(constB65, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB65, bitIndex0) | (~v88(constB65, bitIndex0)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32660,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB65, bitIndex0) | (~v88(constB65, bitIndex0)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32661,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB65, bitIndex0) | (~v88(constB65, bitIndex0))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32660, 32659])).
% 35.31/23.94 tff(32662,plain,
% 35.31/23.94 (~v88(constB65, bitIndex0)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32661, 23593, 32658])).
% 35.31/23.94 tff(32663,plain,
% 35.31/23.94 (v130(constB63, bitIndex1)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10497, 1087, 10198])).
% 35.31/23.94 tff(32664,plain,
% 35.31/23.94 (v127(constB63, bitIndex1)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10493, 32663])).
% 35.31/23.94 tff(32665,plain,
% 35.31/23.94 (v129(constB64, bitIndex1)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10488, 32664])).
% 35.31/23.94 tff(32666,plain,
% 35.31/23.94 (v90(constB64, bitIndex1) | (~v100(constB64))),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10482, 1131, 32665])).
% 35.31/23.94 tff(32667,plain,
% 35.31/23.94 (v90(constB64, bitIndex1)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32666, 32642])).
% 35.31/23.94 tff(32668,plain,
% 35.31/23.94 (v90(constB65, bitIndex1)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[10402, 32667])).
% 35.31/23.94 tff(32669,plain,
% 35.31/23.94 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32670,plain,
% 35.31/23.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32671,plain,
% 35.31/23.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1)),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32670, 32669])).
% 35.31/23.94 tff(32672,plain,
% 35.31/23.94 (v88(constB65, bitIndex1)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32671, 23528, 32668])).
% 35.31/23.94 tff(32673,plain,
% 35.31/23.94 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v143(constB65))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v143(constB65))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32674,plain,
% 35.31/23.94 ((v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v143(constB65)) <=> (v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v143(constB65))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32675,plain,
% 35.31/23.94 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v143(constB65))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v143(constB65)))),
% 35.31/23.94 inference(monotonicity,[status(thm)],[32674])).
% 35.31/23.94 tff(32676,plain,
% 35.31/23.94 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v143(constB65))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v143(constB65))),
% 35.31/23.94 inference(transitivity,[status(thm)],[32675, 32673])).
% 35.31/23.94 tff(32677,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v143(constB65))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32678,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v143(constB65)),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32677, 32676])).
% 35.31/23.94 tff(32679,plain,
% 35.31/23.94 (v143(constB65)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32678, 24097, 32672, 32662, 32652])).
% 35.31/23.94 tff(32680,plain,
% 35.31/23.94 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB65) | (~v143(constB65)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB65) | (~v143(constB65)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32681,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB65) | (~v143(constB65)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32682,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB65) | (~v143(constB65))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32681, 32680])).
% 35.31/23.94 tff(32683,plain,
% 35.31/23.94 (v142(constB65)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32682, 24111, 32679])).
% 35.31/23.94 tff(32684,plain,
% 35.31/23.94 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB65) | (~v142(constB65)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB65) | (~v142(constB65)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32685,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB65) | (~v142(constB65)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32686,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB65) | (~v142(constB65))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32685, 32684])).
% 35.31/23.94 tff(32687,plain,
% 35.31/23.94 (v167(constB65)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32686, 23633, 32683])).
% 35.31/23.94 tff(32688,plain,
% 35.31/23.94 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB65)) | (~v170(constB65)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB65)) | (~v170(constB65)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32689,plain,
% 35.31/23.94 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB65)) | (~v170(constB65)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32690,plain,
% 35.31/23.94 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB65)) | (~v170(constB65))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32689, 32688])).
% 35.31/23.94 tff(32691,plain,
% 35.31/23.94 (~v170(constB65)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32690, 23647, 32687])).
% 35.31/23.94 tff(32692,plain,
% 35.31/23.94 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB65) | (~v167(constB65)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB65) | (~v167(constB65)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32693,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB65) | (~v167(constB65)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32694,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB65) | (~v167(constB65))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32693, 32692])).
% 35.31/23.94 tff(32695,plain,
% 35.31/23.94 (v166(constB65)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32694, 23658, 32687])).
% 35.31/23.94 tff(32696,plain,
% 35.31/23.94 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB65)) | (~v166(constB65)) | v170(constB65))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB65)) | (~v166(constB65)) | v170(constB65))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32697,plain,
% 35.31/23.94 (((~v166(constB65)) | v170(constB65) | (~v163(constB65))) <=> ((~v163(constB65)) | (~v166(constB65)) | v170(constB65))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32698,plain,
% 35.31/23.94 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB65)) | v170(constB65) | (~v163(constB65)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB65)) | (~v166(constB65)) | v170(constB65)))),
% 35.31/23.94 inference(monotonicity,[status(thm)],[32697])).
% 35.31/23.94 tff(32699,plain,
% 35.31/23.94 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB65)) | v170(constB65) | (~v163(constB65)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB65)) | (~v166(constB65)) | v170(constB65))),
% 35.31/23.94 inference(transitivity,[status(thm)],[32698, 32696])).
% 35.31/23.94 tff(32700,plain,
% 35.31/23.94 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB65)) | v170(constB65) | (~v163(constB65)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32701,plain,
% 35.31/23.94 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB65)) | (~v166(constB65)) | v170(constB65)),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32700, 32699])).
% 35.31/23.94 tff(32702,plain,
% 35.31/23.94 (~v163(constB65)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32701, 23672, 32695, 32691])).
% 35.31/23.94 tff(32703,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32704,plain,
% 35.31/23.94 (((~nextState(constB65, constB66)) | v163(constB65) | (~v186(constB66))) <=> (v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32705,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB65, constB66)) | v163(constB65) | (~v186(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66))))),
% 35.31/23.94 inference(monotonicity,[status(thm)],[32704])).
% 35.31/23.94 tff(32706,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB65, constB66)) | v163(constB65) | (~v186(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66)))),
% 35.31/23.94 inference(transitivity,[status(thm)],[32705, 32703])).
% 35.31/23.94 tff(32707,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB65, constB66)) | v163(constB65) | (~v186(constB66)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32708,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32707, 32706])).
% 35.31/23.94 tff(32709,plain,
% 35.31/23.94 (v163(constB65) | (~v186(constB66))),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32708, 23806, 10586])).
% 35.31/23.94 tff(32710,plain,
% 35.31/23.94 (~v186(constB66)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32709, 32702])).
% 35.31/23.94 tff(32711,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB65, constB66)) | v181(constB66) | v104(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB65, constB66)) | v181(constB66) | v104(constB66))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32712,plain,
% 35.31/23.94 (((~nextState(constB65, constB66)) | v104(constB66) | v181(constB66)) <=> ((~nextState(constB65, constB66)) | v181(constB66) | v104(constB66))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32713,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v181(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB65, constB66)) | v181(constB66) | v104(constB66)))),
% 35.31/23.94 inference(monotonicity,[status(thm)],[32712])).
% 35.31/23.94 tff(32714,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v181(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB65, constB66)) | v181(constB66) | v104(constB66))),
% 35.31/23.94 inference(transitivity,[status(thm)],[32713, 32711])).
% 35.31/23.94 tff(32715,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v181(constB66))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32716,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB65, constB66)) | v181(constB66) | v104(constB66)),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32715, 32714])).
% 35.31/23.94 tff(32717,plain,
% 35.31/23.94 (v181(constB66) | v104(constB66)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32716, 23828, 10586])).
% 35.31/23.94 tff(32718,plain,
% 35.31/23.94 (v181(constB66)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32717, 10598])).
% 35.31/23.94 tff(32719,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32720,plain,
% 35.31/23.94 (((~nextState(constB65, constB66)) | (~v1(constB66)) | v180(constB66) | (~v181(constB66))) <=> ((~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32721,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v180(constB66) | (~v181(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66))))),
% 35.31/23.94 inference(monotonicity,[status(thm)],[32720])).
% 35.31/23.94 tff(32722,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v180(constB66) | (~v181(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66)))),
% 35.31/23.94 inference(transitivity,[status(thm)],[32721, 32719])).
% 35.31/23.94 tff(32723,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v180(constB66) | (~v181(constB66)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32724,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32723, 32722])).
% 35.31/23.94 tff(32725,plain,
% 35.31/23.94 (v180(constB66) | (~v181(constB66))),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32724, 23846, 10586, 10609])).
% 35.31/23.94 tff(32726,plain,
% 35.31/23.94 (v180(constB66)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32725, 32718])).
% 35.31/23.94 tff(32727,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB65, constB66)) | v179(constB66) | (~v180(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB65, constB66)) | v179(constB66) | (~v180(constB66)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32728,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB65, constB66)) | v179(constB66) | (~v180(constB66)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32729,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB65, constB66)) | v179(constB66) | (~v180(constB66))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32728, 32727])).
% 35.31/23.94 tff(32730,plain,
% 35.31/23.94 (v179(constB66) | (~v180(constB66))),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32729, 23864, 10586])).
% 35.31/23.94 tff(32731,plain,
% 35.31/23.94 (v179(constB66)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32730, 32726])).
% 35.31/23.94 tff(32732,plain,
% 35.31/23.94 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB66)) | v186(constB66) | (~v179(constB66)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB66)) | v186(constB66) | (~v179(constB66)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32733,plain,
% 35.31/23.94 (((~v179(constB66)) | (~v159(constB66)) | v186(constB66)) <=> ((~v159(constB66)) | v186(constB66) | (~v179(constB66)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32734,plain,
% 35.31/23.94 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB66)) | (~v159(constB66)) | v186(constB66))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB66)) | v186(constB66) | (~v179(constB66))))),
% 35.31/23.94 inference(monotonicity,[status(thm)],[32733])).
% 35.31/23.94 tff(32735,plain,
% 35.31/23.94 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB66)) | (~v159(constB66)) | v186(constB66))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB66)) | v186(constB66) | (~v179(constB66)))),
% 35.31/23.94 inference(transitivity,[status(thm)],[32734, 32732])).
% 35.31/23.94 tff(32736,plain,
% 35.31/23.94 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB66)) | (~v159(constB66)) | v186(constB66))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32737,plain,
% 35.31/23.94 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB66)) | v186(constB66) | (~v179(constB66))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32736, 32735])).
% 35.31/23.94 tff(32738,plain,
% 35.31/23.94 ((~v159(constB66)) | v186(constB66)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32737, 23879, 32731])).
% 35.31/23.94 tff(32739,plain,
% 35.31/23.94 (~v159(constB66)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32738, 32710])).
% 35.31/23.94 tff(32740,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32741,plain,
% 35.31/23.94 (((~nextState(constB66, constB67)) | v1(constB67) | (~v180(constB67))) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32742,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB66, constB67)) | v1(constB67) | (~v180(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67))))),
% 35.31/23.94 inference(monotonicity,[status(thm)],[32741])).
% 35.31/23.94 tff(32743,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB66, constB67)) | v1(constB67) | (~v180(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67)))),
% 35.31/23.94 inference(transitivity,[status(thm)],[32742, 32740])).
% 35.31/23.94 tff(32744,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB66, constB67)) | v1(constB67) | (~v180(constB67)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32745,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32744, 32743])).
% 35.31/23.94 tff(32746,plain,
% 35.31/23.94 (~v180(constB67)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32745, 23900, 10657, 10654])).
% 35.31/23.94 tff(32747,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32748,plain,
% 35.31/23.94 (((~nextState(constB66, constB67)) | (~v179(constB67)) | v180(constB67)) <=> ((~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32749,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB66, constB67)) | (~v179(constB67)) | v180(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67))))),
% 35.31/23.94 inference(monotonicity,[status(thm)],[32748])).
% 35.31/23.94 tff(32750,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB66, constB67)) | (~v179(constB67)) | v180(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67)))),
% 35.31/23.94 inference(transitivity,[status(thm)],[32749, 32747])).
% 35.31/23.94 tff(32751,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB66, constB67)) | (~v179(constB67)) | v180(constB67))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32752,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32751, 32750])).
% 35.31/23.94 tff(32753,plain,
% 35.31/23.94 (v180(constB67) | (~v179(constB67))),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32752, 23917, 10657])).
% 35.31/23.94 tff(32754,plain,
% 35.31/23.94 (~v179(constB67)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32753, 32746])).
% 35.31/23.94 tff(32755,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32756,plain,
% 35.31/23.94 (((~nextState(constB66, constB67)) | v179(constB67) | v159(constB66) | (~v159(constB67))) <=> (v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32757,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB66, constB67)) | v179(constB67) | v159(constB66) | (~v159(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67))))),
% 35.31/23.94 inference(monotonicity,[status(thm)],[32756])).
% 35.31/23.94 tff(32758,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB66, constB67)) | v179(constB67) | v159(constB66) | (~v159(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67)))),
% 35.31/23.94 inference(transitivity,[status(thm)],[32757, 32755])).
% 35.31/23.94 tff(32759,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB66, constB67)) | v179(constB67) | v159(constB66) | (~v159(constB67)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32760,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32759, 32758])).
% 35.31/23.94 tff(32761,plain,
% 35.31/23.94 (v159(constB66) | v179(constB67) | (~v159(constB67))),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32760, 23935, 10657])).
% 35.31/23.94 tff(32762,plain,
% 35.31/23.94 (v159(constB66) | (~v159(constB67))),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32761, 32754])).
% 35.31/23.94 tff(32763,plain,
% 35.31/23.94 (~v159(constB67)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32762, 32739])).
% 35.31/23.94 tff(32764,plain,
% 35.31/23.94 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB67) | (~v201(constB67)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB67) | (~v201(constB67)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32765,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB67) | (~v201(constB67)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32766,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB67) | (~v201(constB67))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32765, 32764])).
% 35.31/23.94 tff(32767,plain,
% 35.31/23.94 (~v201(constB67)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32766, 23951, 32763])).
% 35.31/23.94 tff(32768,plain,
% 35.31/23.94 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB67) | (~v200(constB67)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB67) | (~v200(constB67)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32769,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB67) | (~v200(constB67)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32770,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB67) | (~v200(constB67))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32769, 32768])).
% 35.31/23.94 tff(32771,plain,
% 35.31/23.94 (~v200(constB67)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32770, 23697, 32767])).
% 35.31/23.94 tff(32772,plain,
% 35.31/23.94 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB67) | (~v198(constB67)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB67) | (~v198(constB67)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32773,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB67) | (~v198(constB67)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32774,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB67) | (~v198(constB67))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32773, 32772])).
% 35.31/23.94 tff(32775,plain,
% 35.31/23.94 (~v198(constB67)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32774, 23708, 32771])).
% 35.31/23.94 tff(32776,assumption,(v18(constB68)), introduced(assumption)).
% 35.31/23.94 tff(32777,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB68))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32778,plain,
% 35.31/23.94 ($false),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32777, 8, 32776])).
% 35.31/23.94 tff(32779,plain,(~v18(constB68)), inference(lemma,lemma(discharge,[]))).
% 35.31/23.94 tff(32780,plain,
% 35.31/23.94 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB68) | (~v1(constB68)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB68) | (~v1(constB68)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32781,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB68) | (~v1(constB68)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32782,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB68) | (~v1(constB68))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32781, 32780])).
% 35.31/23.94 tff(32783,plain,
% 35.31/23.94 (v22(constB68)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32782, 21, 10855])).
% 35.31/23.94 tff(32784,plain,
% 35.31/23.94 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB68)) | (~v22(constB68)) | v18(constB68))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB68)) | (~v22(constB68)) | v18(constB68))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32785,plain,
% 35.31/23.94 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB68)) | (~v22(constB68)) | v18(constB68))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32786,plain,
% 35.31/23.94 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB68)) | (~v22(constB68)) | v18(constB68)),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32785, 32784])).
% 35.31/23.94 tff(32787,plain,
% 35.31/23.94 ((~v19(constB68)) | v18(constB68)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32786, 35, 32783])).
% 35.31/23.94 tff(32788,plain,
% 35.31/23.94 (~v19(constB68)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32787, 32779])).
% 35.31/23.94 tff(32789,plain,
% 35.31/23.94 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB68) | v19(constB68))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB68) | v19(constB68))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32790,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB68) | v19(constB68))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32791,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB68) | v19(constB68)),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32790, 32789])).
% 35.31/23.94 tff(32792,plain,
% 35.31/23.94 (v13(constB68)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32791, 50, 32788])).
% 35.31/23.94 tff(32793,plain,
% 35.31/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB67, constB68)) | (~v13(constB68)) | v9(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB67, constB68)) | (~v13(constB68)) | v9(constB67))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32794,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB67, constB68)) | (~v13(constB68)) | v9(constB67))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32795,plain,
% 35.31/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB67, constB68)) | (~v13(constB68)) | v9(constB67)),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32794, 32793])).
% 35.31/23.94 tff(32796,plain,
% 35.31/23.94 ((~v13(constB68)) | v9(constB67)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32795, 67, 10832])).
% 35.31/23.94 tff(32797,plain,
% 35.31/23.94 (v9(constB67)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32796, 32792])).
% 35.31/23.94 tff(32798,plain,
% 35.31/23.94 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB67) | (~v9(constB67)) | v197(constB67))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB67) | (~v9(constB67)) | v197(constB67))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32799,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB67) | (~v9(constB67)) | v197(constB67))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32800,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB67) | (~v9(constB67)) | v197(constB67)),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32799, 32798])).
% 35.31/23.94 tff(32801,plain,
% 35.31/23.94 ((~v9(constB67)) | v197(constB67)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32800, 85, 10654])).
% 35.31/23.94 tff(32802,plain,
% 35.31/23.94 (v197(constB67)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32801, 32797])).
% 35.31/23.94 tff(32803,plain,
% 35.31/23.94 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB67) | (~v197(constB67)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB67) | (~v197(constB67)))),
% 35.31/23.94 inference(rewrite,[status(thm)],[])).
% 35.31/23.94 tff(32804,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB67) | (~v197(constB67)))),
% 35.31/23.94 inference(quant_inst,[status(thm)],[])).
% 35.31/23.94 tff(32805,plain,
% 35.31/23.94 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB67) | (~v197(constB67))),
% 35.31/23.94 inference(modus_ponens,[status(thm)],[32804, 32803])).
% 35.31/23.94 tff(32806,plain,
% 35.31/23.94 (v196(constB67)),
% 35.31/23.94 inference(unit_resolution,[status(thm)],[32805, 97, 32802])).
% 35.31/23.94 tff(32807,plain,
% 35.31/23.94 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB67)) | (~v196(constB67)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB67)) | (~v196(constB67)))),
% 35.31/23.95 inference(rewrite,[status(thm)],[])).
% 35.31/23.95 tff(32808,plain,
% 35.31/23.95 (((~v196(constB67)) | (~v194(constB67))) <=> ((~v194(constB67)) | (~v196(constB67)))),
% 35.31/23.95 inference(rewrite,[status(thm)],[])).
% 35.31/23.95 tff(32809,plain,
% 35.31/23.95 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB67)) | (~v194(constB67)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB67)) | (~v196(constB67))))),
% 35.31/23.95 inference(monotonicity,[status(thm)],[32808])).
% 35.31/23.95 tff(32810,plain,
% 35.31/23.95 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB67)) | (~v194(constB67)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB67)) | (~v196(constB67)))),
% 35.31/23.95 inference(transitivity,[status(thm)],[32809, 32807])).
% 35.31/23.95 tff(32811,plain,
% 35.31/23.95 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB67)) | (~v194(constB67)))),
% 35.31/23.95 inference(quant_inst,[status(thm)],[])).
% 35.31/23.95 tff(32812,plain,
% 35.31/23.95 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB67)) | (~v196(constB67))),
% 35.31/23.95 inference(modus_ponens,[status(thm)],[32811, 32810])).
% 35.31/23.95 tff(32813,plain,
% 35.31/23.95 (~v194(constB67)),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32812, 108, 32806])).
% 35.31/23.95 tff(32814,plain,
% 35.31/23.95 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB67) | v198(constB67) | (~v191(constB67)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB67) | v198(constB67) | (~v191(constB67)))),
% 35.31/23.95 inference(rewrite,[status(thm)],[])).
% 35.31/23.95 tff(32815,plain,
% 35.31/23.95 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB67) | v198(constB67) | (~v191(constB67)))),
% 35.31/23.95 inference(quant_inst,[status(thm)],[])).
% 35.31/23.95 tff(32816,plain,
% 35.31/23.95 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB67) | v198(constB67) | (~v191(constB67))),
% 35.31/23.95 inference(modus_ponens,[status(thm)],[32815, 32814])).
% 35.31/23.95 tff(32817,plain,
% 35.31/23.95 (v198(constB67) | (~v191(constB67))),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32816, 23722, 32813])).
% 35.31/23.95 tff(32818,plain,
% 35.31/23.95 (~v191(constB67)),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32817, 32775])).
% 35.31/23.95 tff(32819,plain,
% 35.31/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB67, constB68)) | v191(constB67) | (~v193(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB67, constB68)) | v191(constB67) | (~v193(constB68)))),
% 35.31/23.95 inference(rewrite,[status(thm)],[])).
% 35.31/23.95 tff(32820,plain,
% 35.31/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB67, constB68)) | v191(constB67) | (~v193(constB68)))),
% 35.31/23.95 inference(quant_inst,[status(thm)],[])).
% 35.31/23.95 tff(32821,plain,
% 35.31/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB67, constB68)) | v191(constB67) | (~v193(constB68))),
% 35.31/23.95 inference(modus_ponens,[status(thm)],[32820, 32819])).
% 35.31/23.95 tff(32822,plain,
% 35.31/23.95 (v191(constB67) | (~v193(constB68))),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32821, 23737, 10832])).
% 35.31/23.95 tff(32823,plain,
% 35.31/23.95 (~v193(constB68)),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32822, 32818])).
% 35.31/23.95 tff(32824,plain,
% 35.31/23.95 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB68) | (~v194(constB68)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB68) | (~v194(constB68)))),
% 35.31/23.95 inference(rewrite,[status(thm)],[])).
% 35.31/23.95 tff(32825,plain,
% 35.31/23.95 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB68) | (~v194(constB68)))),
% 35.31/23.95 inference(quant_inst,[status(thm)],[])).
% 35.31/23.95 tff(32826,plain,
% 35.31/23.95 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB68) | (~v194(constB68))),
% 35.31/23.95 inference(modus_ponens,[status(thm)],[32825, 32824])).
% 35.31/23.95 tff(32827,plain,
% 35.31/23.95 (~v194(constB68)),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32826, 23749, 32823])).
% 35.31/23.95 tff(32828,plain,
% 35.31/23.95 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB68)) | (~v197(constB68)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB68)) | (~v197(constB68)))),
% 35.31/23.95 inference(rewrite,[status(thm)],[])).
% 35.31/23.95 tff(32829,plain,
% 35.31/23.95 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB68)) | (~v197(constB68)))),
% 35.31/23.95 inference(quant_inst,[status(thm)],[])).
% 35.31/23.95 tff(32830,plain,
% 35.31/23.95 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB68)) | (~v197(constB68))),
% 35.31/23.95 inference(modus_ponens,[status(thm)],[32829, 32828])).
% 35.31/23.95 tff(32831,plain,
% 35.31/23.95 (~v197(constB68)),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32830, 23760, 10855])).
% 35.31/23.95 tff(32832,plain,
% 35.31/23.95 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB68) | (~v200(constB68)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB68) | (~v200(constB68)))),
% 35.31/23.95 inference(rewrite,[status(thm)],[])).
% 35.31/23.95 tff(32833,plain,
% 35.31/23.95 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB68) | (~v200(constB68)))),
% 35.31/23.95 inference(quant_inst,[status(thm)],[])).
% 35.31/23.95 tff(32834,plain,
% 35.31/23.95 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB68) | (~v200(constB68))),
% 35.31/23.95 inference(modus_ponens,[status(thm)],[32833, 32832])).
% 35.31/23.95 tff(32835,plain,
% 35.31/23.95 (~v200(constB68)),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32834, 23771, 32831])).
% 35.31/23.95 tff(32836,plain,
% 35.31/23.95 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB68) | (~v198(constB68)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB68) | (~v198(constB68)))),
% 35.31/23.95 inference(rewrite,[status(thm)],[])).
% 35.31/23.95 tff(32837,plain,
% 35.31/23.95 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB68) | (~v198(constB68)))),
% 35.31/23.95 inference(quant_inst,[status(thm)],[])).
% 35.31/23.95 tff(32838,plain,
% 35.31/23.95 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB68) | (~v198(constB68))),
% 35.31/23.95 inference(modus_ponens,[status(thm)],[32837, 32836])).
% 35.31/23.95 tff(32839,plain,
% 35.31/23.95 (~v198(constB68)),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32838, 23708, 32835])).
% 35.31/23.95 tff(32840,plain,
% 35.31/23.95 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB68) | v198(constB68) | (~v191(constB68)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB68) | v198(constB68) | (~v191(constB68)))),
% 35.31/23.95 inference(rewrite,[status(thm)],[])).
% 35.31/23.95 tff(32841,plain,
% 35.31/23.95 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB68) | v198(constB68) | (~v191(constB68)))),
% 35.31/23.95 inference(quant_inst,[status(thm)],[])).
% 35.31/23.95 tff(32842,plain,
% 35.31/23.95 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB68) | v198(constB68) | (~v191(constB68))),
% 35.31/23.95 inference(modus_ponens,[status(thm)],[32841, 32840])).
% 35.31/23.95 tff(32843,plain,
% 35.31/23.95 (v194(constB68) | (~v191(constB68))),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32842, 23722, 32839])).
% 35.31/23.95 tff(32844,plain,
% 35.31/23.95 (~v191(constB68)),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32843, 32827])).
% 35.31/23.95 tff(32845,plain,
% 35.31/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB68, constB69)) | v191(constB68) | (~v193(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB68, constB69)) | v191(constB68) | (~v193(constB69)))),
% 35.31/23.95 inference(rewrite,[status(thm)],[])).
% 35.31/23.95 tff(32846,plain,
% 35.31/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB68, constB69)) | v191(constB68) | (~v193(constB69)))),
% 35.31/23.95 inference(quant_inst,[status(thm)],[])).
% 35.31/23.95 tff(32847,plain,
% 35.31/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB68, constB69)) | v191(constB68) | (~v193(constB69))),
% 35.31/23.95 inference(modus_ponens,[status(thm)],[32846, 32845])).
% 35.31/23.95 tff(32848,plain,
% 35.31/23.95 (v191(constB68) | (~v193(constB69))),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32847, 23737, 10900])).
% 35.31/23.95 tff(32849,plain,
% 35.31/23.95 (~v193(constB69)),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32848, 32844])).
% 35.31/23.95 tff(32850,plain,
% 35.31/23.95 ($false),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32849, 32632])).
% 35.31/23.95 tff(32851,plain,(~(constB69 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.31/23.95 tff(32852,assumption,(constB167 = sK0_VarCurr), introduced(assumption)).
% 35.31/23.95 tff(32853,plain,
% 35.31/23.95 (v193(constB167) <=> v193(sK0_VarCurr)),
% 35.31/23.95 inference(monotonicity,[status(thm)],[32852])).
% 35.31/23.95 tff(32854,plain,
% 35.31/23.95 (v193(sK0_VarCurr) <=> v193(constB167)),
% 35.31/23.95 inference(symmetry,[status(thm)],[32853])).
% 35.31/23.95 tff(32855,plain,
% 35.31/23.95 (v193(constB167)),
% 35.31/23.95 inference(modus_ponens,[status(thm)],[24025, 32854])).
% 35.31/23.95 tff(32856,plain,
% 35.31/23.95 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB163, bitIndex2) | (~v88(constB163, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB163, bitIndex2) | (~v88(constB163, bitIndex2)))),
% 35.31/23.95 inference(rewrite,[status(thm)],[])).
% 35.31/23.95 tff(32857,plain,
% 35.31/23.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB163, bitIndex2) | (~v88(constB163, bitIndex2)))),
% 35.31/23.95 inference(quant_inst,[status(thm)],[])).
% 35.31/23.95 tff(32858,plain,
% 35.31/23.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB163, bitIndex2) | (~v88(constB163, bitIndex2))),
% 35.31/23.95 inference(modus_ponens,[status(thm)],[32857, 32856])).
% 35.31/23.95 tff(32859,plain,
% 35.31/23.95 (~v88(constB163, bitIndex2)),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32858, 24075, 25496])).
% 35.31/23.95 tff(32860,plain,
% 35.31/23.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB163, bitIndex1)) | v88(constB163, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB163, bitIndex1)) | v88(constB163, bitIndex1))),
% 35.31/23.95 inference(rewrite,[status(thm)],[])).
% 35.31/23.95 tff(32861,plain,
% 35.31/23.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB163, bitIndex1)) | v88(constB163, bitIndex1))),
% 35.31/23.95 inference(quant_inst,[status(thm)],[])).
% 35.31/23.95 tff(32862,plain,
% 35.31/23.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB163, bitIndex1)) | v88(constB163, bitIndex1)),
% 35.31/23.95 inference(modus_ponens,[status(thm)],[32861, 32860])).
% 35.31/23.95 tff(32863,plain,
% 35.31/23.95 (v88(constB163, bitIndex1)),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32862, 23528, 25527])).
% 35.31/23.95 tff(32864,plain,
% 35.31/23.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB163, bitIndex0)) | v88(constB163, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB163, bitIndex0)) | v88(constB163, bitIndex0))),
% 35.31/23.95 inference(rewrite,[status(thm)],[])).
% 35.31/23.95 tff(32865,plain,
% 35.31/23.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB163, bitIndex0)) | v88(constB163, bitIndex0))),
% 35.31/23.95 inference(quant_inst,[status(thm)],[])).
% 35.31/23.95 tff(32866,plain,
% 35.31/23.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB163, bitIndex0)) | v88(constB163, bitIndex0)),
% 35.31/23.95 inference(modus_ponens,[status(thm)],[32865, 32864])).
% 35.31/23.95 tff(32867,plain,
% 35.31/23.95 (v88(constB163, bitIndex0)),
% 35.31/23.95 inference(unit_resolution,[status(thm)],[32866, 30373, 25558])).
% 35.31/23.95 tff(32868,plain,
% 35.31/23.95 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)) | v141(constB163))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)) | v141(constB163))),
% 35.31/23.95 inference(rewrite,[status(thm)],[])).
% 35.31/23.95 tff(32869,plain,
% 35.31/23.95 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)) | v141(constB163))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32870,plain,
% 35.36/23.95 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)) | v141(constB163)),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32869, 32868])).
% 35.36/23.95 tff(32871,plain,
% 35.36/23.95 (v141(constB163)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32870, 30387, 32867, 32863, 32859])).
% 35.36/23.95 tff(32872,plain,
% 35.36/23.95 (((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB163) | (~v141(constB163)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB163) | (~v141(constB163)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32873,plain,
% 35.36/23.95 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | (v168(constB163) | (~v141(constB163)))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32874,plain,
% 35.36/23.95 ((~![VarCurr: $i] : (v168(VarCurr) | (~v141(VarCurr)))) | v168(constB163) | (~v141(constB163))),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32873, 32872])).
% 35.36/23.95 tff(32875,plain,
% 35.36/23.95 (v168(constB163)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32874, 30401, 32871])).
% 35.36/23.95 tff(32876,plain,
% 35.36/23.95 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB163) | (~v168(constB163)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB163) | (~v168(constB163)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32877,plain,
% 35.36/23.95 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB163) | (~v168(constB163)))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32878,plain,
% 35.36/23.95 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB163) | (~v168(constB163))),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32877, 32876])).
% 35.36/23.95 tff(32879,plain,
% 35.36/23.95 (v167(constB163)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32878, 30412, 32875])).
% 35.36/23.95 tff(32880,plain,
% 35.36/23.95 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB163)) | (~v170(constB163)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB163)) | (~v170(constB163)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32881,plain,
% 35.36/23.95 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB163)) | (~v170(constB163)))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32882,plain,
% 35.36/23.95 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB163)) | (~v170(constB163))),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32881, 32880])).
% 35.36/23.95 tff(32883,plain,
% 35.36/23.95 (~v170(constB163)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32882, 23647, 32879])).
% 35.36/23.95 tff(32884,plain,
% 35.36/23.95 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB163) | (~v167(constB163)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB163) | (~v167(constB163)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32885,plain,
% 35.36/23.95 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB163) | (~v167(constB163)))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32886,plain,
% 35.36/23.95 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB163) | (~v167(constB163))),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32885, 32884])).
% 35.36/23.95 tff(32887,plain,
% 35.36/23.95 (v166(constB163)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32886, 23658, 32879])).
% 35.36/23.95 tff(32888,plain,
% 35.36/23.95 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB163)) | (~v166(constB163)) | v170(constB163))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB163)) | (~v166(constB163)) | v170(constB163))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32889,plain,
% 35.36/23.95 (((~v166(constB163)) | v170(constB163) | (~v163(constB163))) <=> ((~v163(constB163)) | (~v166(constB163)) | v170(constB163))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32890,plain,
% 35.36/23.95 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB163)) | v170(constB163) | (~v163(constB163)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB163)) | (~v166(constB163)) | v170(constB163)))),
% 35.36/23.95 inference(monotonicity,[status(thm)],[32889])).
% 35.36/23.95 tff(32891,plain,
% 35.36/23.95 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB163)) | v170(constB163) | (~v163(constB163)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB163)) | (~v166(constB163)) | v170(constB163))),
% 35.36/23.95 inference(transitivity,[status(thm)],[32890, 32888])).
% 35.36/23.95 tff(32892,plain,
% 35.36/23.95 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB163)) | v170(constB163) | (~v163(constB163)))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32893,plain,
% 35.36/23.95 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB163)) | (~v166(constB163)) | v170(constB163)),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32892, 32891])).
% 35.36/23.95 tff(32894,plain,
% 35.36/23.95 (~v163(constB163)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32893, 23672, 32887, 32883])).
% 35.36/23.95 tff(32895,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB163) | (~nextState(constB163, constB164)) | (~v186(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB163) | (~nextState(constB163, constB164)) | (~v186(constB164)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32896,plain,
% 35.36/23.95 (((~nextState(constB163, constB164)) | v163(constB163) | (~v186(constB164))) <=> (v163(constB163) | (~nextState(constB163, constB164)) | (~v186(constB164)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32897,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB163, constB164)) | v163(constB163) | (~v186(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB163) | (~nextState(constB163, constB164)) | (~v186(constB164))))),
% 35.36/23.95 inference(monotonicity,[status(thm)],[32896])).
% 35.36/23.95 tff(32898,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB163, constB164)) | v163(constB163) | (~v186(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB163) | (~nextState(constB163, constB164)) | (~v186(constB164)))),
% 35.36/23.95 inference(transitivity,[status(thm)],[32897, 32895])).
% 35.36/23.95 tff(32899,plain,
% 35.36/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB163, constB164)) | v163(constB163) | (~v186(constB164)))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32900,plain,
% 35.36/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB163) | (~nextState(constB163, constB164)) | (~v186(constB164))),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32899, 32898])).
% 35.36/23.95 tff(32901,plain,
% 35.36/23.95 (v163(constB163) | (~v186(constB164))),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32900, 23806, 25597])).
% 35.36/23.95 tff(32902,plain,
% 35.36/23.95 (~v186(constB164)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32901, 32894])).
% 35.36/23.95 tff(32903,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB163, constB164)) | v181(constB164) | v104(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB163, constB164)) | v181(constB164) | v104(constB164))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32904,plain,
% 35.36/23.95 (((~nextState(constB163, constB164)) | v104(constB164) | v181(constB164)) <=> ((~nextState(constB163, constB164)) | v181(constB164) | v104(constB164))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32905,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | v181(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB163, constB164)) | v181(constB164) | v104(constB164)))),
% 35.36/23.95 inference(monotonicity,[status(thm)],[32904])).
% 35.36/23.95 tff(32906,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | v181(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB163, constB164)) | v181(constB164) | v104(constB164))),
% 35.36/23.95 inference(transitivity,[status(thm)],[32905, 32903])).
% 35.36/23.95 tff(32907,plain,
% 35.36/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | v181(constB164))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32908,plain,
% 35.36/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB163, constB164)) | v181(constB164) | v104(constB164)),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32907, 32906])).
% 35.36/23.95 tff(32909,plain,
% 35.36/23.95 (v181(constB164) | v104(constB164)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32908, 23828, 25597])).
% 35.36/23.95 tff(32910,plain,
% 35.36/23.95 (v181(constB164)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32909, 25609])).
% 35.36/23.95 tff(32911,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB163, constB164)) | v180(constB164) | (~v1(constB164)) | (~v181(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB163, constB164)) | v180(constB164) | (~v1(constB164)) | (~v181(constB164)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32912,plain,
% 35.36/23.95 (((~nextState(constB163, constB164)) | (~v1(constB164)) | v180(constB164) | (~v181(constB164))) <=> ((~nextState(constB163, constB164)) | v180(constB164) | (~v1(constB164)) | (~v181(constB164)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32913,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB163, constB164)) | (~v1(constB164)) | v180(constB164) | (~v181(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB163, constB164)) | v180(constB164) | (~v1(constB164)) | (~v181(constB164))))),
% 35.36/23.95 inference(monotonicity,[status(thm)],[32912])).
% 35.36/23.95 tff(32914,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB163, constB164)) | (~v1(constB164)) | v180(constB164) | (~v181(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB163, constB164)) | v180(constB164) | (~v1(constB164)) | (~v181(constB164)))),
% 35.36/23.95 inference(transitivity,[status(thm)],[32913, 32911])).
% 35.36/23.95 tff(32915,plain,
% 35.36/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB163, constB164)) | (~v1(constB164)) | v180(constB164) | (~v181(constB164)))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32916,plain,
% 35.36/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB163, constB164)) | v180(constB164) | (~v1(constB164)) | (~v181(constB164))),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32915, 32914])).
% 35.36/23.95 tff(32917,plain,
% 35.36/23.95 (v180(constB164) | (~v181(constB164))),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32916, 23846, 25597, 25620])).
% 35.36/23.95 tff(32918,plain,
% 35.36/23.95 (v180(constB164)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32917, 32910])).
% 35.36/23.95 tff(32919,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB163, constB164)) | v179(constB164) | (~v180(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB163, constB164)) | v179(constB164) | (~v180(constB164)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32920,plain,
% 35.36/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB163, constB164)) | v179(constB164) | (~v180(constB164)))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32921,plain,
% 35.36/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB163, constB164)) | v179(constB164) | (~v180(constB164))),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32920, 32919])).
% 35.36/23.95 tff(32922,plain,
% 35.36/23.95 (v179(constB164) | (~v180(constB164))),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32921, 23864, 25597])).
% 35.36/23.95 tff(32923,plain,
% 35.36/23.95 (v179(constB164)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32922, 32918])).
% 35.36/23.95 tff(32924,plain,
% 35.36/23.95 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB164)) | v186(constB164) | (~v179(constB164)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB164)) | v186(constB164) | (~v179(constB164)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32925,plain,
% 35.36/23.95 (((~v179(constB164)) | (~v159(constB164)) | v186(constB164)) <=> ((~v159(constB164)) | v186(constB164) | (~v179(constB164)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32926,plain,
% 35.36/23.95 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB164)) | (~v159(constB164)) | v186(constB164))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB164)) | v186(constB164) | (~v179(constB164))))),
% 35.36/23.95 inference(monotonicity,[status(thm)],[32925])).
% 35.36/23.95 tff(32927,plain,
% 35.36/23.95 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB164)) | (~v159(constB164)) | v186(constB164))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB164)) | v186(constB164) | (~v179(constB164)))),
% 35.36/23.95 inference(transitivity,[status(thm)],[32926, 32924])).
% 35.36/23.95 tff(32928,plain,
% 35.36/23.95 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB164)) | (~v159(constB164)) | v186(constB164))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32929,plain,
% 35.36/23.95 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB164)) | v186(constB164) | (~v179(constB164))),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32928, 32927])).
% 35.36/23.95 tff(32930,plain,
% 35.36/23.95 ((~v159(constB164)) | v186(constB164)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32929, 23879, 32923])).
% 35.36/23.95 tff(32931,plain,
% 35.36/23.95 (~v159(constB164)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32930, 32902])).
% 35.36/23.95 tff(32932,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v180(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v180(constB165)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32933,plain,
% 35.36/23.95 (((~nextState(constB164, constB165)) | v1(constB165) | (~v180(constB165))) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v180(constB165)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32934,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB164, constB165)) | v1(constB165) | (~v180(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v180(constB165))))),
% 35.36/23.95 inference(monotonicity,[status(thm)],[32933])).
% 35.36/23.95 tff(32935,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB164, constB165)) | v1(constB165) | (~v180(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v180(constB165)))),
% 35.36/23.95 inference(transitivity,[status(thm)],[32934, 32932])).
% 35.36/23.95 tff(32936,plain,
% 35.36/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB164, constB165)) | v1(constB165) | (~v180(constB165)))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32937,plain,
% 35.36/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v180(constB165))),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32936, 32935])).
% 35.36/23.95 tff(32938,plain,
% 35.36/23.95 (~v180(constB165)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32937, 23900, 25665, 25662])).
% 35.36/23.95 tff(32939,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB164, constB165)) | v180(constB165) | (~v179(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB164, constB165)) | v180(constB165) | (~v179(constB165)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32940,plain,
% 35.36/23.95 (((~nextState(constB164, constB165)) | (~v179(constB165)) | v180(constB165)) <=> ((~nextState(constB164, constB165)) | v180(constB165) | (~v179(constB165)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32941,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB164, constB165)) | (~v179(constB165)) | v180(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB164, constB165)) | v180(constB165) | (~v179(constB165))))),
% 35.36/23.95 inference(monotonicity,[status(thm)],[32940])).
% 35.36/23.95 tff(32942,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB164, constB165)) | (~v179(constB165)) | v180(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB164, constB165)) | v180(constB165) | (~v179(constB165)))),
% 35.36/23.95 inference(transitivity,[status(thm)],[32941, 32939])).
% 35.36/23.95 tff(32943,plain,
% 35.36/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB164, constB165)) | (~v179(constB165)) | v180(constB165))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32944,plain,
% 35.36/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB164, constB165)) | v180(constB165) | (~v179(constB165))),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32943, 32942])).
% 35.36/23.95 tff(32945,plain,
% 35.36/23.95 (v180(constB165) | (~v179(constB165))),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32944, 23917, 25665])).
% 35.36/23.95 tff(32946,plain,
% 35.36/23.95 (~v179(constB165)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32945, 32938])).
% 35.36/23.95 tff(32947,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB164) | (~nextState(constB164, constB165)) | v179(constB165) | (~v159(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB164) | (~nextState(constB164, constB165)) | v179(constB165) | (~v159(constB165)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32948,plain,
% 35.36/23.95 (((~nextState(constB164, constB165)) | v179(constB165) | v159(constB164) | (~v159(constB165))) <=> (v159(constB164) | (~nextState(constB164, constB165)) | v179(constB165) | (~v159(constB165)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32949,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB164, constB165)) | v179(constB165) | v159(constB164) | (~v159(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB164) | (~nextState(constB164, constB165)) | v179(constB165) | (~v159(constB165))))),
% 35.36/23.95 inference(monotonicity,[status(thm)],[32948])).
% 35.36/23.95 tff(32950,plain,
% 35.36/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB164, constB165)) | v179(constB165) | v159(constB164) | (~v159(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB164) | (~nextState(constB164, constB165)) | v179(constB165) | (~v159(constB165)))),
% 35.36/23.95 inference(transitivity,[status(thm)],[32949, 32947])).
% 35.36/23.95 tff(32951,plain,
% 35.36/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB164, constB165)) | v179(constB165) | v159(constB164) | (~v159(constB165)))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32952,plain,
% 35.36/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB164) | (~nextState(constB164, constB165)) | v179(constB165) | (~v159(constB165))),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32951, 32950])).
% 35.36/23.95 tff(32953,plain,
% 35.36/23.95 (v159(constB164) | v179(constB165) | (~v159(constB165))),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32952, 23935, 25665])).
% 35.36/23.95 tff(32954,plain,
% 35.36/23.95 (v159(constB164) | (~v159(constB165))),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32953, 32946])).
% 35.36/23.95 tff(32955,plain,
% 35.36/23.95 (~v159(constB165)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32954, 32931])).
% 35.36/23.95 tff(32956,plain,
% 35.36/23.95 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB165) | (~v201(constB165)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB165) | (~v201(constB165)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32957,plain,
% 35.36/23.95 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB165) | (~v201(constB165)))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32958,plain,
% 35.36/23.95 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB165) | (~v201(constB165))),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32957, 32956])).
% 35.36/23.95 tff(32959,plain,
% 35.36/23.95 (~v201(constB165)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32958, 23951, 32955])).
% 35.36/23.95 tff(32960,plain,
% 35.36/23.95 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB165) | (~v200(constB165)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB165) | (~v200(constB165)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32961,plain,
% 35.36/23.95 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB165) | (~v200(constB165)))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32962,plain,
% 35.36/23.95 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB165) | (~v200(constB165))),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32961, 32960])).
% 35.36/23.95 tff(32963,plain,
% 35.36/23.95 (~v200(constB165)),
% 35.36/23.95 inference(unit_resolution,[status(thm)],[32962, 23697, 32959])).
% 35.36/23.95 tff(32964,plain,
% 35.36/23.95 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB165) | (~v198(constB165)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB165) | (~v198(constB165)))),
% 35.36/23.95 inference(rewrite,[status(thm)],[])).
% 35.36/23.95 tff(32965,plain,
% 35.36/23.95 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB165) | (~v198(constB165)))),
% 35.36/23.95 inference(quant_inst,[status(thm)],[])).
% 35.36/23.95 tff(32966,plain,
% 35.36/23.95 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB165) | (~v198(constB165))),
% 35.36/23.95 inference(modus_ponens,[status(thm)],[32965, 32964])).
% 35.36/23.96 tff(32967,plain,
% 35.36/23.96 (~v198(constB165)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[32966, 23708, 32963])).
% 35.36/23.96 tff(32968,assumption,(v18(constB166)), introduced(assumption)).
% 35.36/23.96 tff(32969,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB166))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(32970,plain,
% 35.36/23.96 ($false),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[32969, 8, 32968])).
% 35.36/23.96 tff(32971,plain,(~v18(constB166)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.96 tff(32972,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(32973,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(32974,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[32973, 32972])).
% 35.36/23.96 tff(32975,plain,
% 35.36/23.96 (v22(constB166)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[32974, 21, 25812])).
% 35.36/23.96 tff(32976,plain,
% 35.36/23.96 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB166)) | (~v22(constB166)) | v18(constB166))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB166)) | (~v22(constB166)) | v18(constB166))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(32977,plain,
% 35.36/23.96 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB166)) | (~v22(constB166)) | v18(constB166))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(32978,plain,
% 35.36/23.96 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB166)) | (~v22(constB166)) | v18(constB166)),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[32977, 32976])).
% 35.36/23.96 tff(32979,plain,
% 35.36/23.96 ((~v19(constB166)) | v18(constB166)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[32978, 35, 32975])).
% 35.36/23.96 tff(32980,plain,
% 35.36/23.96 (~v19(constB166)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[32979, 32971])).
% 35.36/23.96 tff(32981,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(32982,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(32983,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166)),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[32982, 32981])).
% 35.36/23.96 tff(32984,plain,
% 35.36/23.96 (v13(constB166)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[32983, 50, 32980])).
% 35.36/23.96 tff(32985,plain,
% 35.36/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(32986,plain,
% 35.36/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(32987,plain,
% 35.36/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165)),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[32986, 32985])).
% 35.36/23.96 tff(32988,plain,
% 35.36/23.96 ((~v13(constB166)) | v9(constB165)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[32987, 67, 25789])).
% 35.36/23.96 tff(32989,plain,
% 35.36/23.96 (v9(constB165)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[32988, 32984])).
% 35.36/23.96 tff(32990,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v197(constB165))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB165) | (~v9(constB165)) | v197(constB165))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(32991,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v197(constB165))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(32992,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB165) | (~v9(constB165)) | v197(constB165)),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[32991, 32990])).
% 35.36/23.96 tff(32993,plain,
% 35.36/23.96 ((~v9(constB165)) | v197(constB165)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[32992, 85, 25662])).
% 35.36/23.96 tff(32994,plain,
% 35.36/23.96 (v197(constB165)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[32993, 32989])).
% 35.36/23.96 tff(32995,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB165) | (~v197(constB165)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB165) | (~v197(constB165)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(32996,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB165) | (~v197(constB165)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(32997,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB165) | (~v197(constB165))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[32996, 32995])).
% 35.36/23.96 tff(32998,plain,
% 35.36/23.96 (v196(constB165)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[32997, 97, 32994])).
% 35.36/23.96 tff(32999,plain,
% 35.36/23.96 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB165)) | (~v194(constB165)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB165)) | (~v194(constB165)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33000,plain,
% 35.36/23.96 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB165)) | (~v194(constB165)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33001,plain,
% 35.36/23.96 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB165)) | (~v194(constB165))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33000, 32999])).
% 35.36/23.96 tff(33002,plain,
% 35.36/23.96 (~v194(constB165)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33001, 108, 32998])).
% 35.36/23.96 tff(33003,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB165) | v198(constB165) | (~v191(constB165)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB165) | v198(constB165) | (~v191(constB165)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33004,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB165) | v198(constB165) | (~v191(constB165)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33005,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB165) | v198(constB165) | (~v191(constB165))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33004, 33003])).
% 35.36/23.96 tff(33006,plain,
% 35.36/23.96 (v198(constB165) | (~v191(constB165))),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33005, 23722, 33002])).
% 35.36/23.96 tff(33007,plain,
% 35.36/23.96 (~v191(constB165)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33006, 32967])).
% 35.36/23.96 tff(33008,plain,
% 35.36/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB165, constB166)) | v191(constB165) | (~v193(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB165, constB166)) | v191(constB165) | (~v193(constB166)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33009,plain,
% 35.36/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB165, constB166)) | v191(constB165) | (~v193(constB166)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33010,plain,
% 35.36/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB165, constB166)) | v191(constB165) | (~v193(constB166))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33009, 33008])).
% 35.36/23.96 tff(33011,plain,
% 35.36/23.96 (v191(constB165) | (~v193(constB166))),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33010, 23737, 25789])).
% 35.36/23.96 tff(33012,plain,
% 35.36/23.96 (~v193(constB166)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33011, 33007])).
% 35.36/23.96 tff(33013,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB166) | (~v194(constB166)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB166) | (~v194(constB166)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33014,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB166) | (~v194(constB166)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33015,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB166) | (~v194(constB166))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33014, 33013])).
% 35.36/23.96 tff(33016,plain,
% 35.36/23.96 (~v194(constB166)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33015, 23749, 33012])).
% 35.36/23.96 tff(33017,plain,
% 35.36/23.96 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB166)) | (~v197(constB166)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB166)) | (~v197(constB166)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33018,plain,
% 35.36/23.96 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB166)) | (~v197(constB166)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33019,plain,
% 35.36/23.96 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB166)) | (~v197(constB166))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33018, 33017])).
% 35.36/23.96 tff(33020,plain,
% 35.36/23.96 (~v197(constB166)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33019, 23760, 25812])).
% 35.36/23.96 tff(33021,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB166) | (~v200(constB166)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB166) | (~v200(constB166)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33022,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB166) | (~v200(constB166)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33023,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB166) | (~v200(constB166))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33022, 33021])).
% 35.36/23.96 tff(33024,plain,
% 35.36/23.96 (~v200(constB166)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33023, 23771, 33020])).
% 35.36/23.96 tff(33025,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB166) | (~v198(constB166)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB166) | (~v198(constB166)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33026,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB166) | (~v198(constB166)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33027,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB166) | (~v198(constB166))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33026, 33025])).
% 35.36/23.96 tff(33028,plain,
% 35.36/23.96 (~v198(constB166)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33027, 23708, 33024])).
% 35.36/23.96 tff(33029,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB166) | v198(constB166) | (~v191(constB166)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB166) | v198(constB166) | (~v191(constB166)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33030,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB166) | v198(constB166) | (~v191(constB166)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33031,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB166) | v198(constB166) | (~v191(constB166))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33030, 33029])).
% 35.36/23.96 tff(33032,plain,
% 35.36/23.96 (v194(constB166) | (~v191(constB166))),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33031, 23722, 33028])).
% 35.36/23.96 tff(33033,plain,
% 35.36/23.96 (~v191(constB166)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33032, 33016])).
% 35.36/23.96 tff(33034,plain,
% 35.36/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB166, constB167)) | v191(constB166) | (~v193(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB166, constB167)) | v191(constB166) | (~v193(constB167)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33035,plain,
% 35.36/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB166, constB167)) | v191(constB166) | (~v193(constB167)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33036,plain,
% 35.36/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB166, constB167)) | v191(constB166) | (~v193(constB167))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33035, 33034])).
% 35.36/23.96 tff(33037,plain,
% 35.36/23.96 (v191(constB166) | (~v193(constB167))),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33036, 23737, 25857])).
% 35.36/23.96 tff(33038,plain,
% 35.36/23.96 (~v193(constB167)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33037, 33033])).
% 35.36/23.96 tff(33039,plain,
% 35.36/23.96 ($false),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33038, 32855])).
% 35.36/23.96 tff(33040,plain,(~(constB167 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.96 tff(33041,assumption,(constB108 = sK0_VarCurr), introduced(assumption)).
% 35.36/23.96 tff(33042,plain,
% 35.36/23.96 (v1(constB108) <=> v1(sK0_VarCurr)),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33041])).
% 35.36/23.96 tff(33043,plain,
% 35.36/23.96 (v1(sK0_VarCurr) <=> v1(constB108)),
% 35.36/23.96 inference(symmetry,[status(thm)],[33042])).
% 35.36/23.96 tff(33044,plain,
% 35.36/23.96 ((~v1(sK0_VarCurr)) <=> (~v1(constB108))),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33043])).
% 35.36/23.96 tff(33045,plain,
% 35.36/23.96 (~v1(constB108)),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[29884, 33044])).
% 35.36/23.96 tff(33046,plain,
% 35.36/23.96 ($false),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[16234, 33045])).
% 35.36/23.96 tff(33047,plain,(~(constB108 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.96 tff(33048,assumption,(constB140 = sK0_VarCurr), introduced(assumption)).
% 35.36/23.96 tff(33049,plain,
% 35.36/23.96 (v1(constB140) <=> v1(sK0_VarCurr)),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33048])).
% 35.36/23.96 tff(33050,plain,
% 35.36/23.96 (v1(sK0_VarCurr) <=> v1(constB140)),
% 35.36/23.96 inference(symmetry,[status(thm)],[33049])).
% 35.36/23.96 tff(33051,plain,
% 35.36/23.96 ((~v1(sK0_VarCurr)) <=> (~v1(constB140))),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33050])).
% 35.36/23.96 tff(33052,plain,
% 35.36/23.96 (~v1(constB140)),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[29884, 33051])).
% 35.36/23.96 tff(33053,plain,
% 35.36/23.96 ($false),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[20032, 33052])).
% 35.36/23.96 tff(33054,plain,(~(constB140 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.96 tff(33055,assumption,(constB112 = sK0_VarCurr), introduced(assumption)).
% 35.36/23.96 tff(33056,plain,
% 35.36/23.96 (v1(constB112) <=> v1(sK0_VarCurr)),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33055])).
% 35.36/23.96 tff(33057,plain,
% 35.36/23.96 (v1(sK0_VarCurr) <=> v1(constB112)),
% 35.36/23.96 inference(symmetry,[status(thm)],[33056])).
% 35.36/23.96 tff(33058,plain,
% 35.36/23.96 ((~v1(sK0_VarCurr)) <=> (~v1(constB112))),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33057])).
% 35.36/23.96 tff(33059,plain,
% 35.36/23.96 (~v1(constB112)),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[29884, 33058])).
% 35.36/23.96 tff(33060,plain,
% 35.36/23.96 ($false),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[17291, 33059])).
% 35.36/23.96 tff(33061,plain,(~(constB112 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.96 tff(33062,assumption,(constB152 = sK0_VarCurr), introduced(assumption)).
% 35.36/23.96 tff(33063,plain,
% 35.36/23.96 (v1(constB152) <=> v1(sK0_VarCurr)),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33062])).
% 35.36/23.96 tff(33064,plain,
% 35.36/23.96 (v1(sK0_VarCurr) <=> v1(constB152)),
% 35.36/23.96 inference(symmetry,[status(thm)],[33063])).
% 35.36/23.96 tff(33065,plain,
% 35.36/23.96 ((~v1(sK0_VarCurr)) <=> (~v1(constB152))),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33064])).
% 35.36/23.96 tff(33066,plain,
% 35.36/23.96 (~v1(constB152)),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[29884, 33065])).
% 35.36/23.96 tff(33067,plain,
% 35.36/23.96 ($false),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[22146, 33066])).
% 35.36/23.96 tff(33068,plain,(~(constB152 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.96 tff(33069,assumption,(constB128 = sK0_VarCurr), introduced(assumption)).
% 35.36/23.96 tff(33070,plain,
% 35.36/23.96 (v1(constB128) <=> v1(sK0_VarCurr)),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33069])).
% 35.36/23.96 tff(33071,plain,
% 35.36/23.96 (v1(sK0_VarCurr) <=> v1(constB128)),
% 35.36/23.96 inference(symmetry,[status(thm)],[33070])).
% 35.36/23.96 tff(33072,plain,
% 35.36/23.96 ((~v1(sK0_VarCurr)) <=> (~v1(constB128))),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33071])).
% 35.36/23.96 tff(33073,plain,
% 35.36/23.96 (~v1(constB128)),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[29884, 33072])).
% 35.36/23.96 tff(33074,plain,
% 35.36/23.96 ($false),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[18867, 33073])).
% 35.36/23.96 tff(33075,plain,(~(constB128 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.96 tff(33076,assumption,(constB186 = sK0_VarCurr), introduced(assumption)).
% 35.36/23.96 tff(33077,plain,
% 35.36/23.96 (v1(constB186) <=> v1(sK0_VarCurr)),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33076])).
% 35.36/23.96 tff(33078,plain,
% 35.36/23.96 (v1(sK0_VarCurr) <=> v1(constB186)),
% 35.36/23.96 inference(symmetry,[status(thm)],[33077])).
% 35.36/23.96 tff(33079,plain,
% 35.36/23.96 ((~v1(sK0_VarCurr)) <=> (~v1(constB186))),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33078])).
% 35.36/23.96 tff(33080,plain,
% 35.36/23.96 (~v1(constB186)),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[29884, 33079])).
% 35.36/23.96 tff(33081,plain,
% 35.36/23.96 ($false),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[28499, 33080])).
% 35.36/23.96 tff(33082,plain,(~(constB186 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.96 tff(33083,assumption,(constB67 = sK0_VarCurr), introduced(assumption)).
% 35.36/23.96 tff(33084,plain,
% 35.36/23.96 (v193(constB67) <=> v193(sK0_VarCurr)),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33083])).
% 35.36/23.96 tff(33085,plain,
% 35.36/23.96 (v193(sK0_VarCurr) <=> v193(constB67)),
% 35.36/23.96 inference(symmetry,[status(thm)],[33084])).
% 35.36/23.96 tff(33086,plain,
% 35.36/23.96 (v193(constB67)),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[24025, 33085])).
% 35.36/23.96 tff(33087,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB63, bitIndex2) | (~v88(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB63, bitIndex2) | (~v88(constB63, bitIndex2)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33088,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB63, bitIndex2) | (~v88(constB63, bitIndex2)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33089,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB63, bitIndex2) | (~v88(constB63, bitIndex2))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33088, 33087])).
% 35.36/23.96 tff(33090,plain,
% 35.36/23.96 (~v88(constB63, bitIndex2)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33089, 24075, 10120])).
% 35.36/23.96 tff(33091,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB63, bitIndex1) | (~v88(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB63, bitIndex1) | (~v88(constB63, bitIndex1)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33092,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB63, bitIndex1) | (~v88(constB63, bitIndex1)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33093,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB63, bitIndex1) | (~v88(constB63, bitIndex1))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33092, 33091])).
% 35.36/23.96 tff(33094,plain,
% 35.36/23.96 (~v88(constB63, bitIndex1)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33093, 31841, 10157])).
% 35.36/23.96 tff(33095,plain,
% 35.36/23.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33096,plain,
% 35.36/23.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33097,plain,
% 35.36/23.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0)),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33096, 33095])).
% 35.36/23.96 tff(33098,plain,
% 35.36/23.96 (v88(constB63, bitIndex0)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33097, 30373, 10191])).
% 35.36/23.96 tff(33099,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB63, bitIndex0)) | v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | v140(constB63))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB63, bitIndex0)) | v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | v140(constB63))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33100,plain,
% 35.36/23.96 ((v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63)) <=> ((~v88(constB63, bitIndex0)) | v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | v140(constB63))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33101,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB63, bitIndex0)) | v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | v140(constB63)))),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33100])).
% 35.36/23.96 tff(33102,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB63, bitIndex0)) | v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | v140(constB63))),
% 35.36/23.96 inference(transitivity,[status(thm)],[33101, 33099])).
% 35.36/23.96 tff(33103,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33104,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB63, bitIndex0)) | v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | v140(constB63)),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33103, 33102])).
% 35.36/23.96 tff(33105,plain,
% 35.36/23.96 (v140(constB63)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33104, 31859, 33098, 33094, 33090])).
% 35.36/23.96 tff(33106,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB63) | (~v140(constB63)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB63) | (~v140(constB63)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33107,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB63) | (~v140(constB63)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33108,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB63) | (~v140(constB63))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33107, 33106])).
% 35.36/23.96 tff(33109,plain,
% 35.36/23.96 (v169(constB63)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33108, 31870, 33105])).
% 35.36/23.96 tff(33110,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB63) | (~v169(constB63)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB63) | (~v169(constB63)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33111,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB63) | (~v169(constB63)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33112,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB63) | (~v169(constB63))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33111, 33110])).
% 35.36/23.96 tff(33113,plain,
% 35.36/23.96 (v168(constB63)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33112, 31881, 33109])).
% 35.36/23.96 tff(33114,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB63) | (~v168(constB63)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB63) | (~v168(constB63)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33115,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB63) | (~v168(constB63)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33116,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB63) | (~v168(constB63))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33115, 33114])).
% 35.36/23.96 tff(33117,plain,
% 35.36/23.96 (v167(constB63)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33116, 30412, 33113])).
% 35.36/23.96 tff(33118,plain,
% 35.36/23.96 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB63)) | (~v170(constB63)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB63)) | (~v170(constB63)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33119,plain,
% 35.36/23.96 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB63)) | (~v170(constB63)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33120,plain,
% 35.36/23.96 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB63)) | (~v170(constB63))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33119, 33118])).
% 35.36/23.96 tff(33121,plain,
% 35.36/23.96 (~v170(constB63)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33120, 23647, 33117])).
% 35.36/23.96 tff(33122,plain,
% 35.36/23.96 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB63) | (~v167(constB63)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB63) | (~v167(constB63)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33123,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB63) | (~v167(constB63)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33124,plain,
% 35.36/23.96 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB63) | (~v167(constB63))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33123, 33122])).
% 35.36/23.96 tff(33125,plain,
% 35.36/23.96 (v166(constB63)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33124, 23658, 33117])).
% 35.36/23.96 tff(33126,plain,
% 35.36/23.96 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB63)) | (~v166(constB63)) | v170(constB63))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB63)) | (~v166(constB63)) | v170(constB63))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33127,plain,
% 35.36/23.96 (((~v166(constB63)) | v170(constB63) | (~v163(constB63))) <=> ((~v163(constB63)) | (~v166(constB63)) | v170(constB63))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33128,plain,
% 35.36/23.96 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB63)) | v170(constB63) | (~v163(constB63)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB63)) | (~v166(constB63)) | v170(constB63)))),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33127])).
% 35.36/23.96 tff(33129,plain,
% 35.36/23.96 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB63)) | v170(constB63) | (~v163(constB63)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB63)) | (~v166(constB63)) | v170(constB63))),
% 35.36/23.96 inference(transitivity,[status(thm)],[33128, 33126])).
% 35.36/23.96 tff(33130,plain,
% 35.36/23.96 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB63)) | v170(constB63) | (~v163(constB63)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33131,plain,
% 35.36/23.96 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB63)) | (~v166(constB63)) | v170(constB63)),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33130, 33129])).
% 35.36/23.96 tff(33132,plain,
% 35.36/23.96 (~v163(constB63)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33131, 23672, 33125, 33121])).
% 35.36/23.96 tff(33133,plain,
% 35.36/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB63) | (~nextState(constB63, constB64)) | (~v186(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB63) | (~nextState(constB63, constB64)) | (~v186(constB64)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33134,plain,
% 35.36/23.96 (((~nextState(constB63, constB64)) | v163(constB63) | (~v186(constB64))) <=> (v163(constB63) | (~nextState(constB63, constB64)) | (~v186(constB64)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33135,plain,
% 35.36/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB63, constB64)) | v163(constB63) | (~v186(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB63) | (~nextState(constB63, constB64)) | (~v186(constB64))))),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33134])).
% 35.36/23.96 tff(33136,plain,
% 35.36/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB63, constB64)) | v163(constB63) | (~v186(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB63) | (~nextState(constB63, constB64)) | (~v186(constB64)))),
% 35.36/23.96 inference(transitivity,[status(thm)],[33135, 33133])).
% 35.36/23.96 tff(33137,plain,
% 35.36/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB63, constB64)) | v163(constB63) | (~v186(constB64)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33138,plain,
% 35.36/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB63) | (~nextState(constB63, constB64)) | (~v186(constB64))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33137, 33136])).
% 35.36/23.96 tff(33139,plain,
% 35.36/23.96 (v163(constB63) | (~v186(constB64))),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33138, 23806, 10242])).
% 35.36/23.96 tff(33140,plain,
% 35.36/23.96 (~v186(constB64)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33139, 33132])).
% 35.36/23.96 tff(33141,plain,
% 35.36/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB63, constB64)) | v181(constB64) | v104(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB63, constB64)) | v181(constB64) | v104(constB64))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33142,plain,
% 35.36/23.96 (((~nextState(constB63, constB64)) | v104(constB64) | v181(constB64)) <=> ((~nextState(constB63, constB64)) | v181(constB64) | v104(constB64))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33143,plain,
% 35.36/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | v181(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB63, constB64)) | v181(constB64) | v104(constB64)))),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33142])).
% 35.36/23.96 tff(33144,plain,
% 35.36/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | v181(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB63, constB64)) | v181(constB64) | v104(constB64))),
% 35.36/23.96 inference(transitivity,[status(thm)],[33143, 33141])).
% 35.36/23.96 tff(33145,plain,
% 35.36/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | v181(constB64))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33146,plain,
% 35.36/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB63, constB64)) | v181(constB64) | v104(constB64)),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33145, 33144])).
% 35.36/23.96 tff(33147,plain,
% 35.36/23.96 (v181(constB64) | v104(constB64)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33146, 23828, 10242])).
% 35.36/23.96 tff(33148,plain,
% 35.36/23.96 (v181(constB64)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33147, 10254])).
% 35.36/23.96 tff(33149,plain,
% 35.36/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB63, constB64)) | v180(constB64) | (~v1(constB64)) | (~v181(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB63, constB64)) | v180(constB64) | (~v1(constB64)) | (~v181(constB64)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33150,plain,
% 35.36/23.96 (((~nextState(constB63, constB64)) | (~v1(constB64)) | v180(constB64) | (~v181(constB64))) <=> ((~nextState(constB63, constB64)) | v180(constB64) | (~v1(constB64)) | (~v181(constB64)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33151,plain,
% 35.36/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB63, constB64)) | (~v1(constB64)) | v180(constB64) | (~v181(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB63, constB64)) | v180(constB64) | (~v1(constB64)) | (~v181(constB64))))),
% 35.36/23.96 inference(monotonicity,[status(thm)],[33150])).
% 35.36/23.96 tff(33152,plain,
% 35.36/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB63, constB64)) | (~v1(constB64)) | v180(constB64) | (~v181(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB63, constB64)) | v180(constB64) | (~v1(constB64)) | (~v181(constB64)))),
% 35.36/23.96 inference(transitivity,[status(thm)],[33151, 33149])).
% 35.36/23.96 tff(33153,plain,
% 35.36/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB63, constB64)) | (~v1(constB64)) | v180(constB64) | (~v181(constB64)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33154,plain,
% 35.36/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB63, constB64)) | v180(constB64) | (~v1(constB64)) | (~v181(constB64))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33153, 33152])).
% 35.36/23.96 tff(33155,plain,
% 35.36/23.96 (v180(constB64) | (~v181(constB64))),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33154, 23846, 10242, 10265])).
% 35.36/23.96 tff(33156,plain,
% 35.36/23.96 (v180(constB64)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33155, 33148])).
% 35.36/23.96 tff(33157,plain,
% 35.36/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB63, constB64)) | v179(constB64) | (~v180(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB63, constB64)) | v179(constB64) | (~v180(constB64)))),
% 35.36/23.96 inference(rewrite,[status(thm)],[])).
% 35.36/23.96 tff(33158,plain,
% 35.36/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB63, constB64)) | v179(constB64) | (~v180(constB64)))),
% 35.36/23.96 inference(quant_inst,[status(thm)],[])).
% 35.36/23.96 tff(33159,plain,
% 35.36/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB63, constB64)) | v179(constB64) | (~v180(constB64))),
% 35.36/23.96 inference(modus_ponens,[status(thm)],[33158, 33157])).
% 35.36/23.96 tff(33160,plain,
% 35.36/23.96 (v179(constB64) | (~v180(constB64))),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33159, 23864, 10242])).
% 35.36/23.96 tff(33161,plain,
% 35.36/23.96 (v179(constB64)),
% 35.36/23.96 inference(unit_resolution,[status(thm)],[33160, 33156])).
% 35.36/23.96 tff(33162,plain,
% 35.36/23.96 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB64)) | v186(constB64) | (~v179(constB64)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB64)) | v186(constB64) | (~v179(constB64)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33163,plain,
% 35.36/23.97 (((~v179(constB64)) | (~v159(constB64)) | v186(constB64)) <=> ((~v159(constB64)) | v186(constB64) | (~v179(constB64)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33164,plain,
% 35.36/23.97 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB64)) | (~v159(constB64)) | v186(constB64))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB64)) | v186(constB64) | (~v179(constB64))))),
% 35.36/23.97 inference(monotonicity,[status(thm)],[33163])).
% 35.36/23.97 tff(33165,plain,
% 35.36/23.97 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB64)) | (~v159(constB64)) | v186(constB64))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB64)) | v186(constB64) | (~v179(constB64)))),
% 35.36/23.97 inference(transitivity,[status(thm)],[33164, 33162])).
% 35.36/23.97 tff(33166,plain,
% 35.36/23.97 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB64)) | (~v159(constB64)) | v186(constB64))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33167,plain,
% 35.36/23.97 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB64)) | v186(constB64) | (~v179(constB64))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33166, 33165])).
% 35.36/23.97 tff(33168,plain,
% 35.36/23.97 ((~v159(constB64)) | v186(constB64)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33167, 23879, 33161])).
% 35.36/23.97 tff(33169,plain,
% 35.36/23.97 (~v159(constB64)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33168, 33140])).
% 35.36/23.97 tff(33170,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v180(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v180(constB65)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33171,plain,
% 35.36/23.97 (((~nextState(constB64, constB65)) | v1(constB65) | (~v180(constB65))) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v180(constB65)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33172,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB64, constB65)) | v1(constB65) | (~v180(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v180(constB65))))),
% 35.36/23.97 inference(monotonicity,[status(thm)],[33171])).
% 35.36/23.97 tff(33173,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB64, constB65)) | v1(constB65) | (~v180(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v180(constB65)))),
% 35.36/23.97 inference(transitivity,[status(thm)],[33172, 33170])).
% 35.36/23.97 tff(33174,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB64, constB65)) | v1(constB65) | (~v180(constB65)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33175,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v180(constB65))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33174, 33173])).
% 35.36/23.97 tff(33176,plain,
% 35.36/23.97 (~v180(constB65)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33175, 23900, 10313, 10310])).
% 35.36/23.97 tff(33177,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB64, constB65)) | v180(constB65) | (~v179(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB64, constB65)) | v180(constB65) | (~v179(constB65)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33178,plain,
% 35.36/23.97 (((~nextState(constB64, constB65)) | (~v179(constB65)) | v180(constB65)) <=> ((~nextState(constB64, constB65)) | v180(constB65) | (~v179(constB65)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33179,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB64, constB65)) | (~v179(constB65)) | v180(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB64, constB65)) | v180(constB65) | (~v179(constB65))))),
% 35.36/23.97 inference(monotonicity,[status(thm)],[33178])).
% 35.36/23.97 tff(33180,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB64, constB65)) | (~v179(constB65)) | v180(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB64, constB65)) | v180(constB65) | (~v179(constB65)))),
% 35.36/23.97 inference(transitivity,[status(thm)],[33179, 33177])).
% 35.36/23.97 tff(33181,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB64, constB65)) | (~v179(constB65)) | v180(constB65))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33182,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB64, constB65)) | v180(constB65) | (~v179(constB65))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33181, 33180])).
% 35.36/23.97 tff(33183,plain,
% 35.36/23.97 (v180(constB65) | (~v179(constB65))),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33182, 23917, 10313])).
% 35.36/23.97 tff(33184,plain,
% 35.36/23.97 (~v179(constB65)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33183, 33176])).
% 35.36/23.97 tff(33185,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB64) | (~nextState(constB64, constB65)) | v179(constB65) | (~v159(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB64) | (~nextState(constB64, constB65)) | v179(constB65) | (~v159(constB65)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33186,plain,
% 35.36/23.97 (((~nextState(constB64, constB65)) | v179(constB65) | v159(constB64) | (~v159(constB65))) <=> (v159(constB64) | (~nextState(constB64, constB65)) | v179(constB65) | (~v159(constB65)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33187,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB64, constB65)) | v179(constB65) | v159(constB64) | (~v159(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB64) | (~nextState(constB64, constB65)) | v179(constB65) | (~v159(constB65))))),
% 35.36/23.97 inference(monotonicity,[status(thm)],[33186])).
% 35.36/23.97 tff(33188,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB64, constB65)) | v179(constB65) | v159(constB64) | (~v159(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB64) | (~nextState(constB64, constB65)) | v179(constB65) | (~v159(constB65)))),
% 35.36/23.97 inference(transitivity,[status(thm)],[33187, 33185])).
% 35.36/23.97 tff(33189,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB64, constB65)) | v179(constB65) | v159(constB64) | (~v159(constB65)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33190,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB64) | (~nextState(constB64, constB65)) | v179(constB65) | (~v159(constB65))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33189, 33188])).
% 35.36/23.97 tff(33191,plain,
% 35.36/23.97 (v159(constB64) | v179(constB65) | (~v159(constB65))),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33190, 23935, 10313])).
% 35.36/23.97 tff(33192,plain,
% 35.36/23.97 (v159(constB64) | (~v159(constB65))),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33191, 33184])).
% 35.36/23.97 tff(33193,plain,
% 35.36/23.97 (~v159(constB65)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33192, 33169])).
% 35.36/23.97 tff(33194,plain,
% 35.36/23.97 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB65) | (~v201(constB65)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB65) | (~v201(constB65)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33195,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB65) | (~v201(constB65)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33196,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB65) | (~v201(constB65))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33195, 33194])).
% 35.36/23.97 tff(33197,plain,
% 35.36/23.97 (~v201(constB65)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33196, 23951, 33193])).
% 35.36/23.97 tff(33198,plain,
% 35.36/23.97 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB65) | (~v200(constB65)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB65) | (~v200(constB65)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33199,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB65) | (~v200(constB65)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33200,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB65) | (~v200(constB65))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33199, 33198])).
% 35.36/23.97 tff(33201,plain,
% 35.36/23.97 (~v200(constB65)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33200, 23697, 33197])).
% 35.36/23.97 tff(33202,plain,
% 35.36/23.97 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB65) | (~v198(constB65)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB65) | (~v198(constB65)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33203,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB65) | (~v198(constB65)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33204,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB65) | (~v198(constB65))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33203, 33202])).
% 35.36/23.97 tff(33205,plain,
% 35.36/23.97 (~v198(constB65)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33204, 23708, 33201])).
% 35.36/23.97 tff(33206,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33207,plain,
% 35.36/23.97 (((~nextState(constB61, constB62)) | v163(constB61) | (~v186(constB62))) <=> (v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33208,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB61, constB62)) | v163(constB61) | (~v186(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62))))),
% 35.36/23.97 inference(monotonicity,[status(thm)],[33207])).
% 35.36/23.97 tff(33209,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB61, constB62)) | v163(constB61) | (~v186(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62)))),
% 35.36/23.97 inference(transitivity,[status(thm)],[33208, 33206])).
% 35.36/23.97 tff(33210,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB61, constB62)) | v163(constB61) | (~v186(constB62)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33211,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33210, 33209])).
% 35.36/23.97 tff(33212,plain,
% 35.36/23.97 (v163(constB61) | (~v186(constB62))),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33211, 23806, 9998])).
% 35.36/23.97 tff(33213,plain,
% 35.36/23.97 (~v186(constB62)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33212, 24573])).
% 35.36/23.97 tff(33214,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB61, constB62)) | v181(constB62) | v104(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB61, constB62)) | v181(constB62) | v104(constB62))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33215,plain,
% 35.36/23.97 (((~nextState(constB61, constB62)) | v104(constB62) | v181(constB62)) <=> ((~nextState(constB61, constB62)) | v181(constB62) | v104(constB62))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33216,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v181(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB61, constB62)) | v181(constB62) | v104(constB62)))),
% 35.36/23.97 inference(monotonicity,[status(thm)],[33215])).
% 35.36/23.97 tff(33217,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v181(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB61, constB62)) | v181(constB62) | v104(constB62))),
% 35.36/23.97 inference(transitivity,[status(thm)],[33216, 33214])).
% 35.36/23.97 tff(33218,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v181(constB62))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33219,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB61, constB62)) | v181(constB62) | v104(constB62)),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33218, 33217])).
% 35.36/23.97 tff(33220,plain,
% 35.36/23.97 (v181(constB62) | v104(constB62)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33219, 23828, 9998])).
% 35.36/23.97 tff(33221,plain,
% 35.36/23.97 (v181(constB62)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33220, 10058])).
% 35.36/23.97 tff(33222,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33223,plain,
% 35.36/23.97 (((~nextState(constB61, constB62)) | (~v1(constB62)) | v180(constB62) | (~v181(constB62))) <=> ((~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33224,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v180(constB62) | (~v181(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62))))),
% 35.36/23.97 inference(monotonicity,[status(thm)],[33223])).
% 35.36/23.97 tff(33225,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v180(constB62) | (~v181(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62)))),
% 35.36/23.97 inference(transitivity,[status(thm)],[33224, 33222])).
% 35.36/23.97 tff(33226,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v180(constB62) | (~v181(constB62)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33227,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33226, 33225])).
% 35.36/23.97 tff(33228,plain,
% 35.36/23.97 (v180(constB62) | (~v181(constB62))),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33227, 23846, 9998, 10069])).
% 35.36/23.97 tff(33229,plain,
% 35.36/23.97 (v180(constB62)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33228, 33221])).
% 35.36/23.97 tff(33230,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB61, constB62)) | v179(constB62) | (~v180(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB61, constB62)) | v179(constB62) | (~v180(constB62)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33231,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB61, constB62)) | v179(constB62) | (~v180(constB62)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33232,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB61, constB62)) | v179(constB62) | (~v180(constB62))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33231, 33230])).
% 35.36/23.97 tff(33233,plain,
% 35.36/23.97 (v179(constB62) | (~v180(constB62))),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33232, 23864, 9998])).
% 35.36/23.97 tff(33234,plain,
% 35.36/23.97 (v179(constB62)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33233, 33229])).
% 35.36/23.97 tff(33235,plain,
% 35.36/23.97 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB62)) | v186(constB62) | (~v179(constB62)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB62)) | v186(constB62) | (~v179(constB62)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33236,plain,
% 35.36/23.97 (((~v179(constB62)) | (~v159(constB62)) | v186(constB62)) <=> ((~v159(constB62)) | v186(constB62) | (~v179(constB62)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33237,plain,
% 35.36/23.97 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB62)) | (~v159(constB62)) | v186(constB62))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB62)) | v186(constB62) | (~v179(constB62))))),
% 35.36/23.97 inference(monotonicity,[status(thm)],[33236])).
% 35.36/23.97 tff(33238,plain,
% 35.36/23.97 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB62)) | (~v159(constB62)) | v186(constB62))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB62)) | v186(constB62) | (~v179(constB62)))),
% 35.36/23.97 inference(transitivity,[status(thm)],[33237, 33235])).
% 35.36/23.97 tff(33239,plain,
% 35.36/23.97 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB62)) | (~v159(constB62)) | v186(constB62))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33240,plain,
% 35.36/23.97 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB62)) | v186(constB62) | (~v179(constB62))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33239, 33238])).
% 35.36/23.97 tff(33241,plain,
% 35.36/23.97 ((~v159(constB62)) | v186(constB62)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33240, 23879, 33234])).
% 35.36/23.97 tff(33242,plain,
% 35.36/23.97 (~v159(constB62)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33241, 33213])).
% 35.36/23.97 tff(33243,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33244,plain,
% 35.36/23.97 (((~nextState(constB62, constB63)) | v1(constB63) | (~v180(constB63))) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33245,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB62, constB63)) | v1(constB63) | (~v180(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63))))),
% 35.36/23.97 inference(monotonicity,[status(thm)],[33244])).
% 35.36/23.97 tff(33246,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB62, constB63)) | v1(constB63) | (~v180(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63)))),
% 35.36/23.97 inference(transitivity,[status(thm)],[33245, 33243])).
% 35.36/23.97 tff(33247,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB62, constB63)) | v1(constB63) | (~v180(constB63)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33248,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33247, 33246])).
% 35.36/23.97 tff(33249,plain,
% 35.36/23.97 (~v180(constB63)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33248, 23900, 10099, 10096])).
% 35.36/23.97 tff(33250,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33251,plain,
% 35.36/23.97 (((~nextState(constB62, constB63)) | (~v179(constB63)) | v180(constB63)) <=> ((~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33252,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB62, constB63)) | (~v179(constB63)) | v180(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63))))),
% 35.36/23.97 inference(monotonicity,[status(thm)],[33251])).
% 35.36/23.97 tff(33253,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB62, constB63)) | (~v179(constB63)) | v180(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63)))),
% 35.36/23.97 inference(transitivity,[status(thm)],[33252, 33250])).
% 35.36/23.97 tff(33254,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB62, constB63)) | (~v179(constB63)) | v180(constB63))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33255,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33254, 33253])).
% 35.36/23.97 tff(33256,plain,
% 35.36/23.97 (v180(constB63) | (~v179(constB63))),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33255, 23917, 10099])).
% 35.36/23.97 tff(33257,plain,
% 35.36/23.97 (~v179(constB63)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33256, 33249])).
% 35.36/23.97 tff(33258,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33259,plain,
% 35.36/23.97 (((~nextState(constB62, constB63)) | v179(constB63) | v159(constB62) | (~v159(constB63))) <=> (v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33260,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB62, constB63)) | v179(constB63) | v159(constB62) | (~v159(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63))))),
% 35.36/23.97 inference(monotonicity,[status(thm)],[33259])).
% 35.36/23.97 tff(33261,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB62, constB63)) | v179(constB63) | v159(constB62) | (~v159(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63)))),
% 35.36/23.97 inference(transitivity,[status(thm)],[33260, 33258])).
% 35.36/23.97 tff(33262,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB62, constB63)) | v179(constB63) | v159(constB62) | (~v159(constB63)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33263,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33262, 33261])).
% 35.36/23.97 tff(33264,plain,
% 35.36/23.97 (v159(constB62) | v179(constB63) | (~v159(constB63))),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33263, 23935, 10099])).
% 35.36/23.97 tff(33265,plain,
% 35.36/23.97 (v159(constB62) | (~v159(constB63))),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33264, 33257])).
% 35.36/23.97 tff(33266,plain,
% 35.36/23.97 (~v159(constB63)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33265, 33242])).
% 35.36/23.97 tff(33267,plain,
% 35.36/23.97 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB63) | (~v201(constB63)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB63) | (~v201(constB63)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33268,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB63) | (~v201(constB63)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33269,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB63) | (~v201(constB63))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33268, 33267])).
% 35.36/23.97 tff(33270,plain,
% 35.36/23.97 (~v201(constB63)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33269, 23951, 33266])).
% 35.36/23.97 tff(33271,plain,
% 35.36/23.97 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB63) | (~v200(constB63)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB63) | (~v200(constB63)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33272,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB63) | (~v200(constB63)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33273,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB63) | (~v200(constB63))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33272, 33271])).
% 35.36/23.97 tff(33274,plain,
% 35.36/23.97 (~v200(constB63)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33273, 23697, 33270])).
% 35.36/23.97 tff(33275,plain,
% 35.36/23.97 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB63) | (~v198(constB63)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB63) | (~v198(constB63)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33276,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB63) | (~v198(constB63)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33277,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB63) | (~v198(constB63))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33276, 33275])).
% 35.36/23.97 tff(33278,plain,
% 35.36/23.97 (~v198(constB63)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33277, 23708, 33274])).
% 35.36/23.97 tff(33279,assumption,(v18(constB64)), introduced(assumption)).
% 35.36/23.97 tff(33280,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB64))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33281,plain,
% 35.36/23.97 ($false),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33280, 8, 33279])).
% 35.36/23.97 tff(33282,plain,(~v18(constB64)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.97 tff(33283,plain,
% 35.36/23.97 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33284,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33285,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33284, 33283])).
% 35.36/23.97 tff(33286,plain,
% 35.36/23.97 (v22(constB64)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33285, 21, 10265])).
% 35.36/23.97 tff(33287,plain,
% 35.36/23.97 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB64)) | (~v22(constB64)) | v18(constB64))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB64)) | (~v22(constB64)) | v18(constB64))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33288,plain,
% 35.36/23.97 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB64)) | (~v22(constB64)) | v18(constB64))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33289,plain,
% 35.36/23.97 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB64)) | (~v22(constB64)) | v18(constB64)),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33288, 33287])).
% 35.36/23.97 tff(33290,plain,
% 35.36/23.97 ((~v19(constB64)) | v18(constB64)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33289, 35, 33286])).
% 35.36/23.97 tff(33291,plain,
% 35.36/23.97 (~v19(constB64)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33290, 33282])).
% 35.36/23.97 tff(33292,plain,
% 35.36/23.97 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33293,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33294,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64)),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33293, 33292])).
% 35.36/23.97 tff(33295,plain,
% 35.36/23.97 (v13(constB64)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33294, 50, 33291])).
% 35.36/23.97 tff(33296,plain,
% 35.36/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33297,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33298,plain,
% 35.36/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63)),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33297, 33296])).
% 35.36/23.97 tff(33299,plain,
% 35.36/23.97 ((~v13(constB64)) | v9(constB63)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33298, 67, 10242])).
% 35.36/23.97 tff(33300,plain,
% 35.36/23.97 (v9(constB63)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33299, 33295])).
% 35.36/23.97 tff(33301,plain,
% 35.36/23.97 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v197(constB63))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB63) | (~v9(constB63)) | v197(constB63))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33302,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v197(constB63))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33303,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB63) | (~v9(constB63)) | v197(constB63)),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33302, 33301])).
% 35.36/23.97 tff(33304,plain,
% 35.36/23.97 ((~v9(constB63)) | v197(constB63)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33303, 85, 10096])).
% 35.36/23.97 tff(33305,plain,
% 35.36/23.97 (v197(constB63)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33304, 33300])).
% 35.36/23.97 tff(33306,plain,
% 35.36/23.97 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB63) | (~v197(constB63)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB63) | (~v197(constB63)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33307,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB63) | (~v197(constB63)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33308,plain,
% 35.36/23.97 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB63) | (~v197(constB63))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33307, 33306])).
% 35.36/23.97 tff(33309,plain,
% 35.36/23.97 (v196(constB63)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33308, 97, 33305])).
% 35.36/23.97 tff(33310,plain,
% 35.36/23.97 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB63)) | (~v196(constB63)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB63)) | (~v196(constB63)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33311,plain,
% 35.36/23.97 (((~v196(constB63)) | (~v194(constB63))) <=> ((~v194(constB63)) | (~v196(constB63)))),
% 35.36/23.97 inference(rewrite,[status(thm)],[])).
% 35.36/23.97 tff(33312,plain,
% 35.36/23.97 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB63)) | (~v194(constB63)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB63)) | (~v196(constB63))))),
% 35.36/23.97 inference(monotonicity,[status(thm)],[33311])).
% 35.36/23.97 tff(33313,plain,
% 35.36/23.97 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB63)) | (~v194(constB63)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB63)) | (~v196(constB63)))),
% 35.36/23.97 inference(transitivity,[status(thm)],[33312, 33310])).
% 35.36/23.97 tff(33314,plain,
% 35.36/23.97 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB63)) | (~v194(constB63)))),
% 35.36/23.97 inference(quant_inst,[status(thm)],[])).
% 35.36/23.97 tff(33315,plain,
% 35.36/23.97 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB63)) | (~v196(constB63))),
% 35.36/23.97 inference(modus_ponens,[status(thm)],[33314, 33313])).
% 35.36/23.97 tff(33316,plain,
% 35.36/23.97 (~v194(constB63)),
% 35.36/23.97 inference(unit_resolution,[status(thm)],[33315, 108, 33309])).
% 35.36/23.98 tff(33317,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB63) | v198(constB63) | (~v191(constB63)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB63) | v198(constB63) | (~v191(constB63)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33318,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB63) | v198(constB63) | (~v191(constB63)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33319,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB63) | v198(constB63) | (~v191(constB63))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33318, 33317])).
% 35.36/23.98 tff(33320,plain,
% 35.36/23.98 (v198(constB63) | (~v191(constB63))),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33319, 23722, 33316])).
% 35.36/23.98 tff(33321,plain,
% 35.36/23.98 (~v191(constB63)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33320, 33278])).
% 35.36/23.98 tff(33322,plain,
% 35.36/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB63, constB64)) | v191(constB63) | (~v193(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB63, constB64)) | v191(constB63) | (~v193(constB64)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33323,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB63, constB64)) | v191(constB63) | (~v193(constB64)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33324,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB63, constB64)) | v191(constB63) | (~v193(constB64))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33323, 33322])).
% 35.36/23.98 tff(33325,plain,
% 35.36/23.98 (v191(constB63) | (~v193(constB64))),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33324, 23737, 10242])).
% 35.36/23.98 tff(33326,plain,
% 35.36/23.98 (~v193(constB64)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33325, 33321])).
% 35.36/23.98 tff(33327,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB64) | (~v194(constB64)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB64) | (~v194(constB64)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33328,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB64) | (~v194(constB64)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33329,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB64) | (~v194(constB64))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33328, 33327])).
% 35.36/23.98 tff(33330,plain,
% 35.36/23.98 (~v194(constB64)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33329, 23749, 33326])).
% 35.36/23.98 tff(33331,plain,
% 35.36/23.98 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB64)) | (~v197(constB64)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB64)) | (~v197(constB64)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33332,plain,
% 35.36/23.98 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB64)) | (~v197(constB64)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33333,plain,
% 35.36/23.98 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB64)) | (~v197(constB64))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33332, 33331])).
% 35.36/23.98 tff(33334,plain,
% 35.36/23.98 (~v197(constB64)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33333, 23760, 10265])).
% 35.36/23.98 tff(33335,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB64) | (~v200(constB64)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB64) | (~v200(constB64)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33336,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB64) | (~v200(constB64)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33337,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB64) | (~v200(constB64))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33336, 33335])).
% 35.36/23.98 tff(33338,plain,
% 35.36/23.98 (~v200(constB64)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33337, 23771, 33334])).
% 35.36/23.98 tff(33339,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB64) | (~v198(constB64)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB64) | (~v198(constB64)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33340,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB64) | (~v198(constB64)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33341,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB64) | (~v198(constB64))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33340, 33339])).
% 35.36/23.98 tff(33342,plain,
% 35.36/23.98 (~v198(constB64)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33341, 23708, 33338])).
% 35.36/23.98 tff(33343,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB64) | v198(constB64) | (~v191(constB64)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB64) | v198(constB64) | (~v191(constB64)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33344,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB64) | v198(constB64) | (~v191(constB64)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33345,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB64) | v198(constB64) | (~v191(constB64))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33344, 33343])).
% 35.36/23.98 tff(33346,plain,
% 35.36/23.98 (v194(constB64) | (~v191(constB64))),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33345, 23722, 33342])).
% 35.36/23.98 tff(33347,plain,
% 35.36/23.98 (~v191(constB64)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33346, 33330])).
% 35.36/23.98 tff(33348,plain,
% 35.36/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB64, constB65)) | v191(constB64) | (~v193(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB64, constB65)) | v191(constB64) | (~v193(constB65)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33349,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB64, constB65)) | v191(constB64) | (~v193(constB65)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33350,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB64, constB65)) | v191(constB64) | (~v193(constB65))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33349, 33348])).
% 35.36/23.98 tff(33351,plain,
% 35.36/23.98 (v191(constB64) | (~v193(constB65))),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33350, 23737, 10313])).
% 35.36/23.98 tff(33352,plain,
% 35.36/23.98 (~v193(constB65)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33351, 33347])).
% 35.36/23.98 tff(33353,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB65) | (~v194(constB65)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB65) | (~v194(constB65)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33354,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB65) | (~v194(constB65)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33355,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB65) | (~v194(constB65))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33354, 33353])).
% 35.36/23.98 tff(33356,plain,
% 35.36/23.98 (~v194(constB65)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33355, 23749, 33352])).
% 35.36/23.98 tff(33357,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB65) | v198(constB65) | (~v191(constB65)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB65) | v198(constB65) | (~v191(constB65)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33358,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB65) | v198(constB65) | (~v191(constB65)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33359,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB65) | v198(constB65) | (~v191(constB65))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33358, 33357])).
% 35.36/23.98 tff(33360,plain,
% 35.36/23.98 (v198(constB65) | (~v191(constB65))),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33359, 23722, 33356])).
% 35.36/23.98 tff(33361,plain,
% 35.36/23.98 (~v191(constB65)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33360, 33205])).
% 35.36/23.98 tff(33362,plain,
% 35.36/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB65, constB66)) | v191(constB65) | (~v193(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB65, constB66)) | v191(constB65) | (~v193(constB66)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33363,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB65, constB66)) | v191(constB65) | (~v193(constB66)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33364,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB65, constB66)) | v191(constB65) | (~v193(constB66))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33363, 33362])).
% 35.36/23.98 tff(33365,plain,
% 35.36/23.98 (v191(constB65) | (~v193(constB66))),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33364, 23737, 10586])).
% 35.36/23.98 tff(33366,plain,
% 35.36/23.98 (~v193(constB66)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33365, 33361])).
% 35.36/23.98 tff(33367,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB66) | (~v194(constB66)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB66) | (~v194(constB66)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33368,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB66) | (~v194(constB66)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33369,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB66) | (~v194(constB66))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33368, 33367])).
% 35.36/23.98 tff(33370,plain,
% 35.36/23.98 (~v194(constB66)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33369, 23749, 33366])).
% 35.36/23.98 tff(33371,plain,
% 35.36/23.98 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB66)) | (~v197(constB66)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB66)) | (~v197(constB66)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33372,plain,
% 35.36/23.98 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB66)) | (~v197(constB66)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33373,plain,
% 35.36/23.98 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB66)) | (~v197(constB66))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33372, 33371])).
% 35.36/23.98 tff(33374,plain,
% 35.36/23.98 (~v197(constB66)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33373, 23760, 10609])).
% 35.36/23.98 tff(33375,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB66) | (~v200(constB66)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB66) | (~v200(constB66)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33376,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB66) | (~v200(constB66)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33377,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB66) | (~v200(constB66))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33376, 33375])).
% 35.36/23.98 tff(33378,plain,
% 35.36/23.98 (~v200(constB66)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33377, 23771, 33374])).
% 35.36/23.98 tff(33379,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB66) | (~v198(constB66)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB66) | (~v198(constB66)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33380,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB66) | (~v198(constB66)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33381,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB66) | (~v198(constB66))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33380, 33379])).
% 35.36/23.98 tff(33382,plain,
% 35.36/23.98 (~v198(constB66)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33381, 23708, 33378])).
% 35.36/23.98 tff(33383,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB66) | v198(constB66) | (~v191(constB66)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB66) | v198(constB66) | (~v191(constB66)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33384,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB66) | v198(constB66) | (~v191(constB66)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33385,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB66) | v198(constB66) | (~v191(constB66))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33384, 33383])).
% 35.36/23.98 tff(33386,plain,
% 35.36/23.98 (v194(constB66) | (~v191(constB66))),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33385, 23722, 33382])).
% 35.36/23.98 tff(33387,plain,
% 35.36/23.98 (~v191(constB66)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33386, 33370])).
% 35.36/23.98 tff(33388,plain,
% 35.36/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB66, constB67)) | v191(constB66) | (~v193(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB66, constB67)) | v191(constB66) | (~v193(constB67)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33389,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB66, constB67)) | v191(constB66) | (~v193(constB67)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33390,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB66, constB67)) | v191(constB66) | (~v193(constB67))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33389, 33388])).
% 35.36/23.98 tff(33391,plain,
% 35.36/23.98 (v191(constB66) | (~v193(constB67))),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33390, 23737, 10657])).
% 35.36/23.98 tff(33392,plain,
% 35.36/23.98 (~v193(constB67)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33391, 33387])).
% 35.36/23.98 tff(33393,plain,
% 35.36/23.98 ($false),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33392, 33086])).
% 35.36/23.98 tff(33394,plain,(~(constB67 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.98 tff(33395,assumption,(constB0 = sK0_VarCurr), introduced(assumption)).
% 35.36/23.98 tff(33396,plain,
% 35.36/23.98 (v193(constB0) <=> v193(sK0_VarCurr)),
% 35.36/23.98 inference(monotonicity,[status(thm)],[33395])).
% 35.36/23.98 tff(33397,plain,
% 35.36/23.98 (v193(sK0_VarCurr) <=> v193(constB0)),
% 35.36/23.98 inference(symmetry,[status(thm)],[33396])).
% 35.36/23.98 tff(33398,plain,
% 35.36/23.98 (v193(constB0)),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[24025, 33397])).
% 35.36/23.98 tff(33399,plain,
% 35.36/23.98 ((~v193(constB0)) <=> (~v193(constB0))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33400,axiom,(~v193(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_8_1_1_1')).
% 35.36/23.98 tff(33401,plain,
% 35.36/23.98 (~v193(constB0)),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33400, 33399])).
% 35.36/23.98 tff(33402,plain,
% 35.36/23.98 ($false),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33401, 33398])).
% 35.36/23.98 tff(33403,plain,(~(constB0 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.98 tff(33404,assumption,(constB147 = sK0_VarCurr), introduced(assumption)).
% 35.36/23.98 tff(33405,plain,
% 35.36/23.98 (v193(constB147) <=> v193(sK0_VarCurr)),
% 35.36/23.98 inference(monotonicity,[status(thm)],[33404])).
% 35.36/23.98 tff(33406,plain,
% 35.36/23.98 (v193(sK0_VarCurr) <=> v193(constB147)),
% 35.36/23.98 inference(symmetry,[status(thm)],[33405])).
% 35.36/23.98 tff(33407,plain,
% 35.36/23.98 (v193(constB147)),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[24025, 33406])).
% 35.36/23.98 tff(33408,plain,
% 35.36/23.98 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB145)) | (~v170(constB145)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB145)) | (~v170(constB145)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33409,plain,
% 35.36/23.98 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB145)) | (~v170(constB145)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33410,plain,
% 35.36/23.98 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB145)) | (~v170(constB145))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33409, 33408])).
% 35.36/23.98 tff(33411,plain,
% 35.36/23.98 (~v170(constB145)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33410, 23647, 26208])).
% 35.36/23.98 tff(33412,plain,
% 35.36/23.98 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB145)) | (~v166(constB145)) | v170(constB145))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB145)) | (~v166(constB145)) | v170(constB145))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33413,plain,
% 35.36/23.98 (((~v166(constB145)) | v170(constB145) | (~v163(constB145))) <=> ((~v163(constB145)) | (~v166(constB145)) | v170(constB145))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33414,plain,
% 35.36/23.98 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB145)) | v170(constB145) | (~v163(constB145)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB145)) | (~v166(constB145)) | v170(constB145)))),
% 35.36/23.98 inference(monotonicity,[status(thm)],[33413])).
% 35.36/23.98 tff(33415,plain,
% 35.36/23.98 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB145)) | v170(constB145) | (~v163(constB145)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB145)) | (~v166(constB145)) | v170(constB145))),
% 35.36/23.98 inference(transitivity,[status(thm)],[33414, 33412])).
% 35.36/23.98 tff(33416,plain,
% 35.36/23.98 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB145)) | v170(constB145) | (~v163(constB145)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33417,plain,
% 35.36/23.98 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB145)) | (~v166(constB145)) | v170(constB145)),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33416, 33415])).
% 35.36/23.98 tff(33418,plain,
% 35.36/23.98 (~v163(constB145)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33417, 23672, 26212, 33411])).
% 35.36/23.98 tff(33419,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB145) | (~v201(constB145)))) <=> ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB145) | (~v201(constB145)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33420,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB145) | (~v201(constB145)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33421,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB145) | (~v201(constB145))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33420, 33419])).
% 35.36/23.98 tff(33422,plain,
% 35.36/23.98 (~v201(constB145)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33421, 23686, 33418])).
% 35.36/23.98 tff(33423,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB145) | (~v200(constB145)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB145) | (~v200(constB145)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33424,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB145) | (~v200(constB145)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33425,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB145) | (~v200(constB145))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33424, 33423])).
% 35.36/23.98 tff(33426,plain,
% 35.36/23.98 (~v200(constB145)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33425, 23697, 33422])).
% 35.36/23.98 tff(33427,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB145) | (~v198(constB145)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB145) | (~v198(constB145)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33428,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB145) | (~v198(constB145)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33429,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB145) | (~v198(constB145))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33428, 33427])).
% 35.36/23.98 tff(33430,plain,
% 35.36/23.98 (~v198(constB145)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33429, 23708, 33426])).
% 35.36/23.98 tff(33431,assumption,(v18(constB146)), introduced(assumption)).
% 35.36/23.98 tff(33432,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB146))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33433,plain,
% 35.36/23.98 ($false),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33432, 8, 33431])).
% 35.36/23.98 tff(33434,plain,(~v18(constB146)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.98 tff(33435,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33436,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33437,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33436, 33435])).
% 35.36/23.98 tff(33438,plain,
% 35.36/23.98 (v22(constB146)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33437, 21, 21332])).
% 35.36/23.98 tff(33439,plain,
% 35.36/23.98 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB146)) | (~v22(constB146)) | v18(constB146))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB146)) | (~v22(constB146)) | v18(constB146))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33440,plain,
% 35.36/23.98 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB146)) | (~v22(constB146)) | v18(constB146))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33441,plain,
% 35.36/23.98 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB146)) | (~v22(constB146)) | v18(constB146)),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33440, 33439])).
% 35.36/23.98 tff(33442,plain,
% 35.36/23.98 ((~v19(constB146)) | v18(constB146)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33441, 35, 33438])).
% 35.36/23.98 tff(33443,plain,
% 35.36/23.98 (~v19(constB146)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33442, 33434])).
% 35.36/23.98 tff(33444,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33445,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33446,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146)),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33445, 33444])).
% 35.36/23.98 tff(33447,plain,
% 35.36/23.98 (v13(constB146)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33446, 50, 33443])).
% 35.36/23.98 tff(33448,plain,
% 35.36/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33449,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33450,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145)),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33449, 33448])).
% 35.36/23.98 tff(33451,plain,
% 35.36/23.98 ((~v13(constB146)) | v9(constB145)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33450, 67, 21277])).
% 35.36/23.98 tff(33452,plain,
% 35.36/23.98 (v9(constB145)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33451, 33447])).
% 35.36/23.98 tff(33453,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v197(constB145))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB145) | (~v9(constB145)) | v197(constB145))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33454,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v197(constB145))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33455,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB145) | (~v9(constB145)) | v197(constB145)),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33454, 33453])).
% 35.36/23.98 tff(33456,plain,
% 35.36/23.98 ((~v9(constB145)) | v197(constB145)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33455, 85, 21192])).
% 35.36/23.98 tff(33457,plain,
% 35.36/23.98 (v197(constB145)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33456, 33452])).
% 35.36/23.98 tff(33458,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB145) | (~v197(constB145)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB145) | (~v197(constB145)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33459,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB145) | (~v197(constB145)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33460,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB145) | (~v197(constB145))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33459, 33458])).
% 35.36/23.98 tff(33461,plain,
% 35.36/23.98 (v196(constB145)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33460, 97, 33457])).
% 35.36/23.98 tff(33462,plain,
% 35.36/23.98 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB145)) | (~v194(constB145)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB145)) | (~v194(constB145)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33463,plain,
% 35.36/23.98 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB145)) | (~v194(constB145)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33464,plain,
% 35.36/23.98 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB145)) | (~v194(constB145))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33463, 33462])).
% 35.36/23.98 tff(33465,plain,
% 35.36/23.98 (~v194(constB145)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33464, 108, 33461])).
% 35.36/23.98 tff(33466,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB145) | v198(constB145) | (~v191(constB145)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB145) | v198(constB145) | (~v191(constB145)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33467,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB145) | v198(constB145) | (~v191(constB145)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33468,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB145) | v198(constB145) | (~v191(constB145))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33467, 33466])).
% 35.36/23.98 tff(33469,plain,
% 35.36/23.98 (v198(constB145) | (~v191(constB145))),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33468, 23722, 33465])).
% 35.36/23.98 tff(33470,plain,
% 35.36/23.98 (~v191(constB145)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33469, 33430])).
% 35.36/23.98 tff(33471,plain,
% 35.36/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB145, constB146)) | v191(constB145) | (~v193(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB145, constB146)) | v191(constB145) | (~v193(constB146)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33472,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB145, constB146)) | v191(constB145) | (~v193(constB146)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33473,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB145, constB146)) | v191(constB145) | (~v193(constB146))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33472, 33471])).
% 35.36/23.98 tff(33474,plain,
% 35.36/23.98 (v191(constB145) | (~v193(constB146))),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33473, 23737, 21277])).
% 35.36/23.98 tff(33475,plain,
% 35.36/23.98 (~v193(constB146)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33474, 33470])).
% 35.36/23.98 tff(33476,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB146) | (~v194(constB146)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB146) | (~v194(constB146)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33477,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB146) | (~v194(constB146)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33478,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB146) | (~v194(constB146))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33477, 33476])).
% 35.36/23.98 tff(33479,plain,
% 35.36/23.98 (~v194(constB146)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33478, 23749, 33475])).
% 35.36/23.98 tff(33480,plain,
% 35.36/23.98 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB146)) | (~v197(constB146)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB146)) | (~v197(constB146)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33481,plain,
% 35.36/23.98 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB146)) | (~v197(constB146)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33482,plain,
% 35.36/23.98 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB146)) | (~v197(constB146))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33481, 33480])).
% 35.36/23.98 tff(33483,plain,
% 35.36/23.98 (~v197(constB146)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33482, 23760, 21332])).
% 35.36/23.98 tff(33484,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB146) | (~v200(constB146)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB146) | (~v200(constB146)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33485,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB146) | (~v200(constB146)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33486,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB146) | (~v200(constB146))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33485, 33484])).
% 35.36/23.98 tff(33487,plain,
% 35.36/23.98 (~v200(constB146)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33486, 23771, 33483])).
% 35.36/23.98 tff(33488,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB146) | (~v198(constB146)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB146) | (~v198(constB146)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33489,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB146) | (~v198(constB146)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33490,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB146) | (~v198(constB146))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33489, 33488])).
% 35.36/23.98 tff(33491,plain,
% 35.36/23.98 (~v198(constB146)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33490, 23708, 33487])).
% 35.36/23.98 tff(33492,plain,
% 35.36/23.98 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB146) | v198(constB146) | (~v191(constB146)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB146) | v198(constB146) | (~v191(constB146)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33493,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB146) | v198(constB146) | (~v191(constB146)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33494,plain,
% 35.36/23.98 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB146) | v198(constB146) | (~v191(constB146))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33493, 33492])).
% 35.36/23.98 tff(33495,plain,
% 35.36/23.98 (v194(constB146) | (~v191(constB146))),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33494, 23722, 33491])).
% 35.36/23.98 tff(33496,plain,
% 35.36/23.98 (~v191(constB146)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33495, 33479])).
% 35.36/23.98 tff(33497,plain,
% 35.36/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB146, constB147)) | v191(constB146) | (~v193(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB146, constB147)) | v191(constB146) | (~v193(constB147)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33498,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB146, constB147)) | v191(constB146) | (~v193(constB147)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33499,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB146, constB147)) | v191(constB146) | (~v193(constB147))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33498, 33497])).
% 35.36/23.98 tff(33500,plain,
% 35.36/23.98 (v191(constB146) | (~v193(constB147))),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33499, 23737, 21572])).
% 35.36/23.98 tff(33501,plain,
% 35.36/23.98 (~v193(constB147)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33500, 33496])).
% 35.36/23.98 tff(33502,plain,
% 35.36/23.98 ($false),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33501, 33407])).
% 35.36/23.98 tff(33503,plain,(~(constB147 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.98 tff(33504,assumption,(constB89 = sK0_VarCurr), introduced(assumption)).
% 35.36/23.98 tff(33505,plain,
% 35.36/23.98 (v193(constB89) <=> v193(sK0_VarCurr)),
% 35.36/23.98 inference(monotonicity,[status(thm)],[33504])).
% 35.36/23.98 tff(33506,plain,
% 35.36/23.98 (v193(sK0_VarCurr) <=> v193(constB89)),
% 35.36/23.98 inference(symmetry,[status(thm)],[33505])).
% 35.36/23.98 tff(33507,plain,
% 35.36/23.98 (v193(constB89)),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[24025, 33506])).
% 35.36/23.98 tff(33508,plain,
% 35.36/23.98 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB85)) | (~v170(constB85)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB85)) | (~v170(constB85)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33509,plain,
% 35.36/23.98 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB85)) | (~v170(constB85)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33510,plain,
% 35.36/23.98 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB85)) | (~v170(constB85))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33509, 33508])).
% 35.36/23.98 tff(33511,plain,
% 35.36/23.98 (~v170(constB85)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33510, 23647, 29498])).
% 35.36/23.98 tff(33512,plain,
% 35.36/23.98 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB85)) | (~v166(constB85)) | v170(constB85))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB85)) | (~v166(constB85)) | v170(constB85))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33513,plain,
% 35.36/23.98 (((~v166(constB85)) | v170(constB85) | (~v163(constB85))) <=> ((~v163(constB85)) | (~v166(constB85)) | v170(constB85))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33514,plain,
% 35.36/23.98 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB85)) | v170(constB85) | (~v163(constB85)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB85)) | (~v166(constB85)) | v170(constB85)))),
% 35.36/23.98 inference(monotonicity,[status(thm)],[33513])).
% 35.36/23.98 tff(33515,plain,
% 35.36/23.98 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB85)) | v170(constB85) | (~v163(constB85)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB85)) | (~v166(constB85)) | v170(constB85))),
% 35.36/23.98 inference(transitivity,[status(thm)],[33514, 33512])).
% 35.36/23.98 tff(33516,plain,
% 35.36/23.98 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB85)) | v170(constB85) | (~v163(constB85)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33517,plain,
% 35.36/23.98 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB85)) | (~v166(constB85)) | v170(constB85)),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33516, 33515])).
% 35.36/23.98 tff(33518,plain,
% 35.36/23.98 (~v163(constB85)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33517, 23672, 29502, 33511])).
% 35.36/23.98 tff(33519,plain,
% 35.36/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33520,plain,
% 35.36/23.98 (((~nextState(constB85, constB86)) | v163(constB85) | (~v186(constB86))) <=> (v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86)))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33521,plain,
% 35.36/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB85, constB86)) | v163(constB85) | (~v186(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86))))),
% 35.36/23.98 inference(monotonicity,[status(thm)],[33520])).
% 35.36/23.98 tff(33522,plain,
% 35.36/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB85, constB86)) | v163(constB85) | (~v186(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86)))),
% 35.36/23.98 inference(transitivity,[status(thm)],[33521, 33519])).
% 35.36/23.98 tff(33523,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB85, constB86)) | v163(constB85) | (~v186(constB86)))),
% 35.36/23.98 inference(quant_inst,[status(thm)],[])).
% 35.36/23.98 tff(33524,plain,
% 35.36/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86))),
% 35.36/23.98 inference(modus_ponens,[status(thm)],[33523, 33522])).
% 35.36/23.98 tff(33525,plain,
% 35.36/23.98 (v163(constB85) | (~v186(constB86))),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33524, 23806, 12807])).
% 35.36/23.98 tff(33526,plain,
% 35.36/23.98 (~v186(constB86)),
% 35.36/23.98 inference(unit_resolution,[status(thm)],[33525, 33518])).
% 35.36/23.98 tff(33527,plain,
% 35.36/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB85, constB86)) | v181(constB86) | v104(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB85, constB86)) | v181(constB86) | v104(constB86))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33528,plain,
% 35.36/23.98 (((~nextState(constB85, constB86)) | v104(constB86) | v181(constB86)) <=> ((~nextState(constB85, constB86)) | v181(constB86) | v104(constB86))),
% 35.36/23.98 inference(rewrite,[status(thm)],[])).
% 35.36/23.98 tff(33529,plain,
% 35.36/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v181(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB85, constB86)) | v181(constB86) | v104(constB86)))),
% 35.36/23.98 inference(monotonicity,[status(thm)],[33528])).
% 35.36/23.98 tff(33530,plain,
% 35.36/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v181(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB85, constB86)) | v181(constB86) | v104(constB86))),
% 35.36/23.99 inference(transitivity,[status(thm)],[33529, 33527])).
% 35.36/23.99 tff(33531,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v181(constB86))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33532,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB85, constB86)) | v181(constB86) | v104(constB86)),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33531, 33530])).
% 35.36/23.99 tff(33533,plain,
% 35.36/23.99 (v181(constB86) | v104(constB86)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33532, 23828, 12807])).
% 35.36/23.99 tff(33534,plain,
% 35.36/23.99 (v181(constB86)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33533, 13078])).
% 35.36/23.99 tff(33535,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33536,plain,
% 35.36/23.99 (((~nextState(constB85, constB86)) | (~v1(constB86)) | v180(constB86) | (~v181(constB86))) <=> ((~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33537,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v180(constB86) | (~v181(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86))))),
% 35.36/23.99 inference(monotonicity,[status(thm)],[33536])).
% 35.36/23.99 tff(33538,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v180(constB86) | (~v181(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86)))),
% 35.36/23.99 inference(transitivity,[status(thm)],[33537, 33535])).
% 35.36/23.99 tff(33539,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v180(constB86) | (~v181(constB86)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33540,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33539, 33538])).
% 35.36/23.99 tff(33541,plain,
% 35.36/23.99 (v180(constB86) | (~v181(constB86))),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33540, 23846, 12807, 13089])).
% 35.36/23.99 tff(33542,plain,
% 35.36/23.99 (v180(constB86)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33541, 33534])).
% 35.36/23.99 tff(33543,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB85, constB86)) | v179(constB86) | (~v180(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB85, constB86)) | v179(constB86) | (~v180(constB86)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33544,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB85, constB86)) | v179(constB86) | (~v180(constB86)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33545,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB85, constB86)) | v179(constB86) | (~v180(constB86))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33544, 33543])).
% 35.36/23.99 tff(33546,plain,
% 35.36/23.99 (v179(constB86) | (~v180(constB86))),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33545, 23864, 12807])).
% 35.36/23.99 tff(33547,plain,
% 35.36/23.99 (v179(constB86)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33546, 33542])).
% 35.36/23.99 tff(33548,plain,
% 35.36/23.99 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB86)) | v186(constB86) | (~v179(constB86)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB86)) | v186(constB86) | (~v179(constB86)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33549,plain,
% 35.36/23.99 (((~v179(constB86)) | (~v159(constB86)) | v186(constB86)) <=> ((~v159(constB86)) | v186(constB86) | (~v179(constB86)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33550,plain,
% 35.36/23.99 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB86)) | (~v159(constB86)) | v186(constB86))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB86)) | v186(constB86) | (~v179(constB86))))),
% 35.36/23.99 inference(monotonicity,[status(thm)],[33549])).
% 35.36/23.99 tff(33551,plain,
% 35.36/23.99 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB86)) | (~v159(constB86)) | v186(constB86))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB86)) | v186(constB86) | (~v179(constB86)))),
% 35.36/23.99 inference(transitivity,[status(thm)],[33550, 33548])).
% 35.36/23.99 tff(33552,plain,
% 35.36/23.99 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB86)) | (~v159(constB86)) | v186(constB86))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33553,plain,
% 35.36/23.99 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB86)) | v186(constB86) | (~v179(constB86))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33552, 33551])).
% 35.36/23.99 tff(33554,plain,
% 35.36/23.99 ((~v159(constB86)) | v186(constB86)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33553, 23879, 33547])).
% 35.36/23.99 tff(33555,plain,
% 35.36/23.99 (~v159(constB86)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33554, 33526])).
% 35.36/23.99 tff(33556,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33557,plain,
% 35.36/23.99 (((~nextState(constB86, constB87)) | v1(constB87) | (~v180(constB87))) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33558,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB86, constB87)) | v1(constB87) | (~v180(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87))))),
% 35.36/23.99 inference(monotonicity,[status(thm)],[33557])).
% 35.36/23.99 tff(33559,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB86, constB87)) | v1(constB87) | (~v180(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87)))),
% 35.36/23.99 inference(transitivity,[status(thm)],[33558, 33556])).
% 35.36/23.99 tff(33560,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB86, constB87)) | v1(constB87) | (~v180(constB87)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33561,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33560, 33559])).
% 35.36/23.99 tff(33562,plain,
% 35.36/23.99 (~v180(constB87)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33561, 23900, 12783, 12505])).
% 35.36/23.99 tff(33563,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33564,plain,
% 35.36/23.99 (((~nextState(constB86, constB87)) | (~v179(constB87)) | v180(constB87)) <=> ((~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33565,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB86, constB87)) | (~v179(constB87)) | v180(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87))))),
% 35.36/23.99 inference(monotonicity,[status(thm)],[33564])).
% 35.36/23.99 tff(33566,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB86, constB87)) | (~v179(constB87)) | v180(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87)))),
% 35.36/23.99 inference(transitivity,[status(thm)],[33565, 33563])).
% 35.36/23.99 tff(33567,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB86, constB87)) | (~v179(constB87)) | v180(constB87))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33568,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33567, 33566])).
% 35.36/23.99 tff(33569,plain,
% 35.36/23.99 (v180(constB87) | (~v179(constB87))),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33568, 23917, 12783])).
% 35.36/23.99 tff(33570,plain,
% 35.36/23.99 (~v179(constB87)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33569, 33562])).
% 35.36/23.99 tff(33571,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33572,plain,
% 35.36/23.99 (((~nextState(constB86, constB87)) | v179(constB87) | v159(constB86) | (~v159(constB87))) <=> (v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33573,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB86, constB87)) | v179(constB87) | v159(constB86) | (~v159(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87))))),
% 35.36/23.99 inference(monotonicity,[status(thm)],[33572])).
% 35.36/23.99 tff(33574,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB86, constB87)) | v179(constB87) | v159(constB86) | (~v159(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87)))),
% 35.36/23.99 inference(transitivity,[status(thm)],[33573, 33571])).
% 35.36/23.99 tff(33575,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB86, constB87)) | v179(constB87) | v159(constB86) | (~v159(constB87)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33576,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33575, 33574])).
% 35.36/23.99 tff(33577,plain,
% 35.36/23.99 (v159(constB86) | v179(constB87) | (~v159(constB87))),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33576, 23935, 12783])).
% 35.36/23.99 tff(33578,plain,
% 35.36/23.99 (v159(constB86) | (~v159(constB87))),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33577, 33570])).
% 35.36/23.99 tff(33579,plain,
% 35.36/23.99 (~v159(constB87)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33578, 33555])).
% 35.36/23.99 tff(33580,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB87) | (~v201(constB87)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB87) | (~v201(constB87)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33581,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB87) | (~v201(constB87)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33582,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB87) | (~v201(constB87))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33581, 33580])).
% 35.36/23.99 tff(33583,plain,
% 35.36/23.99 (~v201(constB87)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33582, 23951, 33579])).
% 35.36/23.99 tff(33584,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB87) | (~v200(constB87)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB87) | (~v200(constB87)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33585,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB87) | (~v200(constB87)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33586,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB87) | (~v200(constB87))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33585, 33584])).
% 35.36/23.99 tff(33587,plain,
% 35.36/23.99 (~v200(constB87)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33586, 23697, 33583])).
% 35.36/23.99 tff(33588,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB87) | (~v198(constB87)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB87) | (~v198(constB87)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33589,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB87) | (~v198(constB87)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33590,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB87) | (~v198(constB87))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33589, 33588])).
% 35.36/23.99 tff(33591,plain,
% 35.36/23.99 (~v198(constB87)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33590, 23708, 33587])).
% 35.36/23.99 tff(33592,assumption,(v18(constB88)), introduced(assumption)).
% 35.36/23.99 tff(33593,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB88))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33594,plain,
% 35.36/23.99 ($false),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33593, 8, 33592])).
% 35.36/23.99 tff(33595,plain,(~v18(constB88)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.99 tff(33596,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33597,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33598,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33597, 33596])).
% 35.36/23.99 tff(33599,plain,
% 35.36/23.99 (v22(constB88)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33598, 21, 12523])).
% 35.36/23.99 tff(33600,plain,
% 35.36/23.99 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB88)) | (~v22(constB88)) | v18(constB88))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB88)) | (~v22(constB88)) | v18(constB88))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33601,plain,
% 35.36/23.99 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB88)) | (~v22(constB88)) | v18(constB88))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33602,plain,
% 35.36/23.99 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB88)) | (~v22(constB88)) | v18(constB88)),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33601, 33600])).
% 35.36/23.99 tff(33603,plain,
% 35.36/23.99 ((~v19(constB88)) | v18(constB88)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33602, 35, 33599])).
% 35.36/23.99 tff(33604,plain,
% 35.36/23.99 (~v19(constB88)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33603, 33595])).
% 35.36/23.99 tff(33605,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33606,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33607,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88)),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33606, 33605])).
% 35.36/23.99 tff(33608,plain,
% 35.36/23.99 (v13(constB88)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33607, 50, 33604])).
% 35.36/23.99 tff(33609,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33610,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33611,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87)),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33610, 33609])).
% 35.36/23.99 tff(33612,plain,
% 35.36/23.99 ((~v13(constB88)) | v9(constB87)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33611, 67, 12508])).
% 35.36/23.99 tff(33613,plain,
% 35.36/23.99 (v9(constB87)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33612, 33608])).
% 35.36/23.99 tff(33614,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v197(constB87))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB87) | (~v9(constB87)) | v197(constB87))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33615,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v197(constB87))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33616,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB87) | (~v9(constB87)) | v197(constB87)),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33615, 33614])).
% 35.36/23.99 tff(33617,plain,
% 35.36/23.99 ((~v9(constB87)) | v197(constB87)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33616, 85, 12505])).
% 35.36/23.99 tff(33618,plain,
% 35.36/23.99 (v197(constB87)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33617, 33613])).
% 35.36/23.99 tff(33619,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB87) | (~v197(constB87)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB87) | (~v197(constB87)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33620,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB87) | (~v197(constB87)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33621,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB87) | (~v197(constB87))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33620, 33619])).
% 35.36/23.99 tff(33622,plain,
% 35.36/23.99 (v196(constB87)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33621, 97, 33618])).
% 35.36/23.99 tff(33623,plain,
% 35.36/23.99 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB87)) | (~v194(constB87)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB87)) | (~v194(constB87)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33624,plain,
% 35.36/23.99 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB87)) | (~v194(constB87)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33625,plain,
% 35.36/23.99 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB87)) | (~v194(constB87))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33624, 33623])).
% 35.36/23.99 tff(33626,plain,
% 35.36/23.99 (~v194(constB87)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33625, 108, 33622])).
% 35.36/23.99 tff(33627,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB87) | v198(constB87) | (~v191(constB87)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB87) | v198(constB87) | (~v191(constB87)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33628,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB87) | v198(constB87) | (~v191(constB87)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33629,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB87) | v198(constB87) | (~v191(constB87))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33628, 33627])).
% 35.36/23.99 tff(33630,plain,
% 35.36/23.99 (v198(constB87) | (~v191(constB87))),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33629, 23722, 33626])).
% 35.36/23.99 tff(33631,plain,
% 35.36/23.99 (~v191(constB87)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33630, 33591])).
% 35.36/23.99 tff(33632,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB87, constB88)) | v191(constB87) | (~v193(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB87, constB88)) | v191(constB87) | (~v193(constB88)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33633,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB87, constB88)) | v191(constB87) | (~v193(constB88)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33634,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB87, constB88)) | v191(constB87) | (~v193(constB88))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33633, 33632])).
% 35.36/23.99 tff(33635,plain,
% 35.36/23.99 (v191(constB87) | (~v193(constB88))),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33634, 23737, 12508])).
% 35.36/23.99 tff(33636,plain,
% 35.36/23.99 (~v193(constB88)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33635, 33631])).
% 35.36/23.99 tff(33637,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB88) | (~v194(constB88)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB88) | (~v194(constB88)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33638,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB88) | (~v194(constB88)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33639,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB88) | (~v194(constB88))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33638, 33637])).
% 35.36/23.99 tff(33640,plain,
% 35.36/23.99 (~v194(constB88)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33639, 23749, 33636])).
% 35.36/23.99 tff(33641,plain,
% 35.36/23.99 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB88)) | (~v197(constB88)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB88)) | (~v197(constB88)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33642,plain,
% 35.36/23.99 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB88)) | (~v197(constB88)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33643,plain,
% 35.36/23.99 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB88)) | (~v197(constB88))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33642, 33641])).
% 35.36/23.99 tff(33644,plain,
% 35.36/23.99 (~v197(constB88)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33643, 23760, 12523])).
% 35.36/23.99 tff(33645,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB88) | (~v200(constB88)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB88) | (~v200(constB88)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33646,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB88) | (~v200(constB88)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33647,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB88) | (~v200(constB88))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33646, 33645])).
% 35.36/23.99 tff(33648,plain,
% 35.36/23.99 (~v200(constB88)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33647, 23771, 33644])).
% 35.36/23.99 tff(33649,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB88) | (~v198(constB88)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB88) | (~v198(constB88)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33650,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB88) | (~v198(constB88)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33651,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB88) | (~v198(constB88))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33650, 33649])).
% 35.36/23.99 tff(33652,plain,
% 35.36/23.99 (~v198(constB88)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33651, 23708, 33648])).
% 35.36/23.99 tff(33653,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB88) | v198(constB88) | (~v191(constB88)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB88) | v198(constB88) | (~v191(constB88)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33654,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB88) | v198(constB88) | (~v191(constB88)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33655,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB88) | v198(constB88) | (~v191(constB88))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33654, 33653])).
% 35.36/23.99 tff(33656,plain,
% 35.36/23.99 (v194(constB88) | (~v191(constB88))),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33655, 23722, 33652])).
% 35.36/23.99 tff(33657,plain,
% 35.36/23.99 (~v191(constB88)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33656, 33640])).
% 35.36/23.99 tff(33658,plain,
% 35.36/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB88, constB89)) | v191(constB88) | (~v193(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB88, constB89)) | v191(constB88) | (~v193(constB89)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33659,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB88, constB89)) | v191(constB88) | (~v193(constB89)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33660,plain,
% 35.36/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB88, constB89)) | v191(constB88) | (~v193(constB89))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33659, 33658])).
% 35.36/23.99 tff(33661,plain,
% 35.36/23.99 (v191(constB88) | (~v193(constB89))),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33660, 23737, 12651])).
% 35.36/23.99 tff(33662,plain,
% 35.36/23.99 (~v193(constB89)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33661, 33657])).
% 35.36/23.99 tff(33663,plain,
% 35.36/23.99 ($false),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33662, 33507])).
% 35.36/23.99 tff(33664,plain,(~(constB89 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.99 tff(33665,assumption,(constB74 = sK0_VarCurr), introduced(assumption)).
% 35.36/23.99 tff(33666,plain,
% 35.36/23.99 (v1(constB74) <=> v1(sK0_VarCurr)),
% 35.36/23.99 inference(monotonicity,[status(thm)],[33665])).
% 35.36/23.99 tff(33667,plain,
% 35.36/23.99 (v1(sK0_VarCurr) <=> v1(constB74)),
% 35.36/23.99 inference(symmetry,[status(thm)],[33666])).
% 35.36/23.99 tff(33668,plain,
% 35.36/23.99 ((~v1(sK0_VarCurr)) <=> (~v1(constB74))),
% 35.36/23.99 inference(monotonicity,[status(thm)],[33667])).
% 35.36/23.99 tff(33669,plain,
% 35.36/23.99 (~v1(constB74)),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[29884, 33668])).
% 35.36/23.99 tff(33670,plain,
% 35.36/23.99 ($false),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[11413, 33669])).
% 35.36/23.99 tff(33671,plain,(~(constB74 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/23.99 tff(33672,assumption,(constB105 = sK0_VarCurr), introduced(assumption)).
% 35.36/23.99 tff(33673,plain,
% 35.36/23.99 (v193(constB105) <=> v193(sK0_VarCurr)),
% 35.36/23.99 inference(monotonicity,[status(thm)],[33672])).
% 35.36/23.99 tff(33674,plain,
% 35.36/23.99 (v193(sK0_VarCurr) <=> v193(constB105)),
% 35.36/23.99 inference(symmetry,[status(thm)],[33673])).
% 35.36/23.99 tff(33675,plain,
% 35.36/23.99 (v193(constB105)),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[24025, 33674])).
% 35.36/23.99 tff(33676,plain,
% 35.36/23.99 (v127(constB99, bitIndex1)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[14381, 339])).
% 35.36/23.99 tff(33677,plain,
% 35.36/23.99 (v129(constB100, bitIndex1)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[14389, 33676])).
% 35.36/23.99 tff(33678,plain,
% 35.36/23.99 (v90(constB100, bitIndex1)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[14476, 33677])).
% 35.36/23.99 tff(33679,plain,
% 35.36/23.99 (v90(constB101, bitIndex1)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[14503, 33678])).
% 35.36/23.99 tff(33680,plain,
% 35.36/23.99 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33681,plain,
% 35.36/23.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33682,plain,
% 35.36/23.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1)),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33681, 33680])).
% 35.36/23.99 tff(33683,plain,
% 35.36/23.99 (v88(constB101, bitIndex1)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33682, 23528, 33679])).
% 35.36/23.99 tff(33684,plain,
% 35.36/23.99 (~v127(constB99, bitIndex2)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[14515, 339])).
% 35.36/23.99 tff(33685,plain,
% 35.36/23.99 (~v129(constB100, bitIndex2)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[14520, 33684])).
% 35.36/23.99 tff(33686,plain,
% 35.36/23.99 (~v90(constB100, bitIndex2)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[14528, 33685])).
% 35.36/23.99 tff(33687,plain,
% 35.36/23.99 (~v90(constB101, bitIndex2)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[14537, 33686])).
% 35.36/23.99 tff(33688,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33689,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33690,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33689, 33688])).
% 35.36/23.99 tff(33691,plain,
% 35.36/23.99 (~v88(constB101, bitIndex2)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33690, 24075, 33687])).
% 35.36/23.99 tff(33692,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB101, bitIndex0) | (~v88(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB101, bitIndex0) | (~v88(constB101, bitIndex0)))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33693,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB101, bitIndex0) | (~v88(constB101, bitIndex0)))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33694,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB101, bitIndex0) | (~v88(constB101, bitIndex0))),
% 35.36/23.99 inference(modus_ponens,[status(thm)],[33693, 33692])).
% 35.36/23.99 tff(33695,plain,
% 35.36/23.99 (~v88(constB101, bitIndex0)),
% 35.36/23.99 inference(unit_resolution,[status(thm)],[33694, 23593, 14580])).
% 35.36/23.99 tff(33696,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0) | v143(constB101))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0) | v143(constB101))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33697,plain,
% 35.36/23.99 ((v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0) | v143(constB101)) <=> ((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0) | v143(constB101))),
% 35.36/23.99 inference(rewrite,[status(thm)],[])).
% 35.36/23.99 tff(33698,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0) | v143(constB101))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0) | v143(constB101)))),
% 35.36/23.99 inference(monotonicity,[status(thm)],[33697])).
% 35.36/23.99 tff(33699,plain,
% 35.36/23.99 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0) | v143(constB101))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0) | v143(constB101))),
% 35.36/23.99 inference(transitivity,[status(thm)],[33698, 33696])).
% 35.36/23.99 tff(33700,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0) | v143(constB101))),
% 35.36/23.99 inference(quant_inst,[status(thm)],[])).
% 35.36/23.99 tff(33701,plain,
% 35.36/23.99 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0) | v143(constB101)),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33700, 33699])).
% 35.36/24.00 tff(33702,plain,
% 35.36/24.00 ((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v143(constB101)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33701, 24097, 33695])).
% 35.36/24.00 tff(33703,plain,
% 35.36/24.00 (v143(constB101)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33702, 33691, 33683])).
% 35.36/24.00 tff(33704,plain,
% 35.36/24.00 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB101) | (~v143(constB101)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB101) | (~v143(constB101)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33705,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB101) | (~v143(constB101)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33706,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB101) | (~v143(constB101))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33705, 33704])).
% 35.36/24.00 tff(33707,plain,
% 35.36/24.00 (v142(constB101)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33706, 24111, 33703])).
% 35.36/24.00 tff(33708,plain,
% 35.36/24.00 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB101) | (~v142(constB101)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB101) | (~v142(constB101)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33709,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB101) | (~v142(constB101)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33710,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB101) | (~v142(constB101))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33709, 33708])).
% 35.36/24.00 tff(33711,plain,
% 35.36/24.00 (v167(constB101)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33710, 23633, 33707])).
% 35.36/24.00 tff(33712,plain,
% 35.36/24.00 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB101)) | (~v170(constB101)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB101)) | (~v170(constB101)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33713,plain,
% 35.36/24.00 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB101)) | (~v170(constB101)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33714,plain,
% 35.36/24.00 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB101)) | (~v170(constB101))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33713, 33712])).
% 35.36/24.00 tff(33715,plain,
% 35.36/24.00 (~v170(constB101)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33714, 23647, 33711])).
% 35.36/24.00 tff(33716,plain,
% 35.36/24.00 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB101) | (~v167(constB101)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB101) | (~v167(constB101)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33717,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB101) | (~v167(constB101)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33718,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB101) | (~v167(constB101))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33717, 33716])).
% 35.36/24.00 tff(33719,plain,
% 35.36/24.00 (v166(constB101)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33718, 23658, 33711])).
% 35.36/24.00 tff(33720,plain,
% 35.36/24.00 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB101)) | (~v166(constB101)) | v170(constB101))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB101)) | (~v166(constB101)) | v170(constB101))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33721,plain,
% 35.36/24.00 (((~v166(constB101)) | v170(constB101) | (~v163(constB101))) <=> ((~v163(constB101)) | (~v166(constB101)) | v170(constB101))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33722,plain,
% 35.36/24.00 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB101)) | v170(constB101) | (~v163(constB101)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB101)) | (~v166(constB101)) | v170(constB101)))),
% 35.36/24.00 inference(monotonicity,[status(thm)],[33721])).
% 35.36/24.00 tff(33723,plain,
% 35.36/24.00 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB101)) | v170(constB101) | (~v163(constB101)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB101)) | (~v166(constB101)) | v170(constB101))),
% 35.36/24.00 inference(transitivity,[status(thm)],[33722, 33720])).
% 35.36/24.00 tff(33724,plain,
% 35.36/24.00 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB101)) | v170(constB101) | (~v163(constB101)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33725,plain,
% 35.36/24.00 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB101)) | (~v166(constB101)) | v170(constB101)),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33724, 33723])).
% 35.36/24.00 tff(33726,plain,
% 35.36/24.00 (~v163(constB101)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33725, 23672, 33719, 33715])).
% 35.36/24.00 tff(33727,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB101) | (~nextState(constB101, constB102)) | (~v186(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB101) | (~nextState(constB101, constB102)) | (~v186(constB102)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33728,plain,
% 35.36/24.00 (((~nextState(constB101, constB102)) | v163(constB101) | (~v186(constB102))) <=> (v163(constB101) | (~nextState(constB101, constB102)) | (~v186(constB102)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33729,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB101, constB102)) | v163(constB101) | (~v186(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB101) | (~nextState(constB101, constB102)) | (~v186(constB102))))),
% 35.36/24.00 inference(monotonicity,[status(thm)],[33728])).
% 35.36/24.00 tff(33730,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB101, constB102)) | v163(constB101) | (~v186(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB101) | (~nextState(constB101, constB102)) | (~v186(constB102)))),
% 35.36/24.00 inference(transitivity,[status(thm)],[33729, 33727])).
% 35.36/24.00 tff(33731,plain,
% 35.36/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB101, constB102)) | v163(constB101) | (~v186(constB102)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33732,plain,
% 35.36/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB101) | (~nextState(constB101, constB102)) | (~v186(constB102))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33731, 33730])).
% 35.36/24.00 tff(33733,plain,
% 35.36/24.00 (v163(constB101) | (~v186(constB102))),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33732, 23806, 14626])).
% 35.36/24.00 tff(33734,plain,
% 35.36/24.00 (~v186(constB102)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33733, 33726])).
% 35.36/24.00 tff(33735,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB101, constB102)) | v181(constB102) | v104(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB101, constB102)) | v181(constB102) | v104(constB102))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33736,plain,
% 35.36/24.00 (((~nextState(constB101, constB102)) | v104(constB102) | v181(constB102)) <=> ((~nextState(constB101, constB102)) | v181(constB102) | v104(constB102))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33737,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | v181(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB101, constB102)) | v181(constB102) | v104(constB102)))),
% 35.36/24.00 inference(monotonicity,[status(thm)],[33736])).
% 35.36/24.00 tff(33738,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | v181(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB101, constB102)) | v181(constB102) | v104(constB102))),
% 35.36/24.00 inference(transitivity,[status(thm)],[33737, 33735])).
% 35.36/24.00 tff(33739,plain,
% 35.36/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | v181(constB102))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33740,plain,
% 35.36/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB101, constB102)) | v181(constB102) | v104(constB102)),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33739, 33738])).
% 35.36/24.00 tff(33741,plain,
% 35.36/24.00 (v181(constB102) | v104(constB102)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33740, 23828, 14626])).
% 35.36/24.00 tff(33742,plain,
% 35.36/24.00 (v181(constB102)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33741, 14638])).
% 35.36/24.00 tff(33743,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB101, constB102)) | v180(constB102) | (~v1(constB102)) | (~v181(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB101, constB102)) | v180(constB102) | (~v1(constB102)) | (~v181(constB102)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33744,plain,
% 35.36/24.00 (((~nextState(constB101, constB102)) | (~v1(constB102)) | v180(constB102) | (~v181(constB102))) <=> ((~nextState(constB101, constB102)) | v180(constB102) | (~v1(constB102)) | (~v181(constB102)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33745,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB101, constB102)) | (~v1(constB102)) | v180(constB102) | (~v181(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB101, constB102)) | v180(constB102) | (~v1(constB102)) | (~v181(constB102))))),
% 35.36/24.00 inference(monotonicity,[status(thm)],[33744])).
% 35.36/24.00 tff(33746,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB101, constB102)) | (~v1(constB102)) | v180(constB102) | (~v181(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB101, constB102)) | v180(constB102) | (~v1(constB102)) | (~v181(constB102)))),
% 35.36/24.00 inference(transitivity,[status(thm)],[33745, 33743])).
% 35.36/24.00 tff(33747,plain,
% 35.36/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB101, constB102)) | (~v1(constB102)) | v180(constB102) | (~v181(constB102)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33748,plain,
% 35.36/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB101, constB102)) | v180(constB102) | (~v1(constB102)) | (~v181(constB102))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33747, 33746])).
% 35.36/24.00 tff(33749,plain,
% 35.36/24.00 (v180(constB102) | (~v181(constB102))),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33748, 23846, 14626, 14649])).
% 35.36/24.00 tff(33750,plain,
% 35.36/24.00 (v180(constB102)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33749, 33742])).
% 35.36/24.00 tff(33751,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB101, constB102)) | v179(constB102) | (~v180(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB101, constB102)) | v179(constB102) | (~v180(constB102)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33752,plain,
% 35.36/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB101, constB102)) | v179(constB102) | (~v180(constB102)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33753,plain,
% 35.36/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB101, constB102)) | v179(constB102) | (~v180(constB102))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33752, 33751])).
% 35.36/24.00 tff(33754,plain,
% 35.36/24.00 (v179(constB102) | (~v180(constB102))),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33753, 23864, 14626])).
% 35.36/24.00 tff(33755,plain,
% 35.36/24.00 (v179(constB102)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33754, 33750])).
% 35.36/24.00 tff(33756,plain,
% 35.36/24.00 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB102)) | v186(constB102) | (~v179(constB102)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB102)) | v186(constB102) | (~v179(constB102)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33757,plain,
% 35.36/24.00 (((~v179(constB102)) | (~v159(constB102)) | v186(constB102)) <=> ((~v159(constB102)) | v186(constB102) | (~v179(constB102)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33758,plain,
% 35.36/24.00 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB102)) | (~v159(constB102)) | v186(constB102))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB102)) | v186(constB102) | (~v179(constB102))))),
% 35.36/24.00 inference(monotonicity,[status(thm)],[33757])).
% 35.36/24.00 tff(33759,plain,
% 35.36/24.00 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB102)) | (~v159(constB102)) | v186(constB102))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB102)) | v186(constB102) | (~v179(constB102)))),
% 35.36/24.00 inference(transitivity,[status(thm)],[33758, 33756])).
% 35.36/24.00 tff(33760,plain,
% 35.36/24.00 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB102)) | (~v159(constB102)) | v186(constB102))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33761,plain,
% 35.36/24.00 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB102)) | v186(constB102) | (~v179(constB102))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33760, 33759])).
% 35.36/24.00 tff(33762,plain,
% 35.36/24.00 ((~v159(constB102)) | v186(constB102)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33761, 23879, 33755])).
% 35.36/24.00 tff(33763,plain,
% 35.36/24.00 (~v159(constB102)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33762, 33734])).
% 35.36/24.00 tff(33764,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v180(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v180(constB103)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33765,plain,
% 35.36/24.00 (((~nextState(constB102, constB103)) | v1(constB103) | (~v180(constB103))) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v180(constB103)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33766,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB102, constB103)) | v1(constB103) | (~v180(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v180(constB103))))),
% 35.36/24.00 inference(monotonicity,[status(thm)],[33765])).
% 35.36/24.00 tff(33767,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB102, constB103)) | v1(constB103) | (~v180(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v180(constB103)))),
% 35.36/24.00 inference(transitivity,[status(thm)],[33766, 33764])).
% 35.36/24.00 tff(33768,plain,
% 35.36/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB102, constB103)) | v1(constB103) | (~v180(constB103)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33769,plain,
% 35.36/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v180(constB103))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33768, 33767])).
% 35.36/24.00 tff(33770,plain,
% 35.36/24.00 (~v180(constB103)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33769, 23900, 14697, 14694])).
% 35.36/24.00 tff(33771,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB102, constB103)) | v180(constB103) | (~v179(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB102, constB103)) | v180(constB103) | (~v179(constB103)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33772,plain,
% 35.36/24.00 (((~nextState(constB102, constB103)) | (~v179(constB103)) | v180(constB103)) <=> ((~nextState(constB102, constB103)) | v180(constB103) | (~v179(constB103)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33773,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB102, constB103)) | (~v179(constB103)) | v180(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB102, constB103)) | v180(constB103) | (~v179(constB103))))),
% 35.36/24.00 inference(monotonicity,[status(thm)],[33772])).
% 35.36/24.00 tff(33774,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB102, constB103)) | (~v179(constB103)) | v180(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB102, constB103)) | v180(constB103) | (~v179(constB103)))),
% 35.36/24.00 inference(transitivity,[status(thm)],[33773, 33771])).
% 35.36/24.00 tff(33775,plain,
% 35.36/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB102, constB103)) | (~v179(constB103)) | v180(constB103))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33776,plain,
% 35.36/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB102, constB103)) | v180(constB103) | (~v179(constB103))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33775, 33774])).
% 35.36/24.00 tff(33777,plain,
% 35.36/24.00 (v180(constB103) | (~v179(constB103))),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33776, 23917, 14697])).
% 35.36/24.00 tff(33778,plain,
% 35.36/24.00 (~v179(constB103)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33777, 33770])).
% 35.36/24.00 tff(33779,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB102) | (~nextState(constB102, constB103)) | v179(constB103) | (~v159(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB102) | (~nextState(constB102, constB103)) | v179(constB103) | (~v159(constB103)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33780,plain,
% 35.36/24.00 (((~nextState(constB102, constB103)) | v179(constB103) | v159(constB102) | (~v159(constB103))) <=> (v159(constB102) | (~nextState(constB102, constB103)) | v179(constB103) | (~v159(constB103)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33781,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB102, constB103)) | v179(constB103) | v159(constB102) | (~v159(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB102) | (~nextState(constB102, constB103)) | v179(constB103) | (~v159(constB103))))),
% 35.36/24.00 inference(monotonicity,[status(thm)],[33780])).
% 35.36/24.00 tff(33782,plain,
% 35.36/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB102, constB103)) | v179(constB103) | v159(constB102) | (~v159(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB102) | (~nextState(constB102, constB103)) | v179(constB103) | (~v159(constB103)))),
% 35.36/24.00 inference(transitivity,[status(thm)],[33781, 33779])).
% 35.36/24.00 tff(33783,plain,
% 35.36/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB102, constB103)) | v179(constB103) | v159(constB102) | (~v159(constB103)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33784,plain,
% 35.36/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB102) | (~nextState(constB102, constB103)) | v179(constB103) | (~v159(constB103))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33783, 33782])).
% 35.36/24.00 tff(33785,plain,
% 35.36/24.00 (v159(constB102) | v179(constB103) | (~v159(constB103))),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33784, 23935, 14697])).
% 35.36/24.00 tff(33786,plain,
% 35.36/24.00 (v159(constB102) | (~v159(constB103))),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33785, 33778])).
% 35.36/24.00 tff(33787,plain,
% 35.36/24.00 (~v159(constB103)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33786, 33763])).
% 35.36/24.00 tff(33788,plain,
% 35.36/24.00 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB103) | (~v201(constB103)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB103) | (~v201(constB103)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33789,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB103) | (~v201(constB103)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33790,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB103) | (~v201(constB103))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33789, 33788])).
% 35.36/24.00 tff(33791,plain,
% 35.36/24.00 (~v201(constB103)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33790, 23951, 33787])).
% 35.36/24.00 tff(33792,plain,
% 35.36/24.00 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB103) | (~v200(constB103)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB103) | (~v200(constB103)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33793,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB103) | (~v200(constB103)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33794,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB103) | (~v200(constB103))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33793, 33792])).
% 35.36/24.00 tff(33795,plain,
% 35.36/24.00 (~v200(constB103)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33794, 23697, 33791])).
% 35.36/24.00 tff(33796,plain,
% 35.36/24.00 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB103) | (~v198(constB103)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB103) | (~v198(constB103)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33797,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB103) | (~v198(constB103)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33798,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB103) | (~v198(constB103))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33797, 33796])).
% 35.36/24.00 tff(33799,plain,
% 35.36/24.00 (~v198(constB103)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33798, 23708, 33795])).
% 35.36/24.00 tff(33800,plain,
% 35.36/24.00 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB99, bitIndex2) | (~v88(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB99, bitIndex2) | (~v88(constB99, bitIndex2)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33801,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB99, bitIndex2) | (~v88(constB99, bitIndex2)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33802,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB99, bitIndex2) | (~v88(constB99, bitIndex2))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33801, 33800])).
% 35.36/24.00 tff(33803,plain,
% 35.36/24.00 (~v88(constB99, bitIndex2)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33802, 24075, 14295])).
% 35.36/24.00 tff(33804,plain,
% 35.36/24.00 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB99, bitIndex1) | (~v88(constB99, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB99, bitIndex1) | (~v88(constB99, bitIndex1)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33805,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB99, bitIndex1) | (~v88(constB99, bitIndex1)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33806,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB99, bitIndex1) | (~v88(constB99, bitIndex1))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33805, 33804])).
% 35.36/24.00 tff(33807,plain,
% 35.36/24.00 (~v88(constB99, bitIndex1)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33806, 31841, 14332])).
% 35.36/24.00 tff(33808,plain,
% 35.36/24.00 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB99, bitIndex0)) | v88(constB99, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB99, bitIndex0)) | v88(constB99, bitIndex0))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33809,plain,
% 35.36/24.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB99, bitIndex0)) | v88(constB99, bitIndex0))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33810,plain,
% 35.36/24.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB99, bitIndex0)) | v88(constB99, bitIndex0)),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33809, 33808])).
% 35.36/24.00 tff(33811,plain,
% 35.36/24.00 (v88(constB99, bitIndex0)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33810, 30373, 14366])).
% 35.36/24.00 tff(33812,plain,
% 35.36/24.00 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33813,plain,
% 35.36/24.00 ((v88(constB99, bitIndex2) | v88(constB99, bitIndex1) | (~v88(constB99, bitIndex0)) | v140(constB99)) <=> (v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33814,plain,
% 35.36/24.00 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB99, bitIndex2) | v88(constB99, bitIndex1) | (~v88(constB99, bitIndex0)) | v140(constB99))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99)))),
% 35.36/24.00 inference(monotonicity,[status(thm)],[33813])).
% 35.36/24.00 tff(33815,plain,
% 35.36/24.00 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB99, bitIndex2) | v88(constB99, bitIndex1) | (~v88(constB99, bitIndex0)) | v140(constB99))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99))),
% 35.36/24.00 inference(transitivity,[status(thm)],[33814, 33812])).
% 35.36/24.00 tff(33816,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB99, bitIndex2) | v88(constB99, bitIndex1) | (~v88(constB99, bitIndex0)) | v140(constB99))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33817,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99)),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33816, 33815])).
% 35.36/24.00 tff(33818,plain,
% 35.36/24.00 (v140(constB99)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33817, 31859, 33811, 33807, 33803])).
% 35.36/24.00 tff(33819,plain,
% 35.36/24.00 (((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB99) | (~v140(constB99)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB99) | (~v140(constB99)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33820,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB99) | (~v140(constB99)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33821,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB99) | (~v140(constB99))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33820, 33819])).
% 35.36/24.00 tff(33822,plain,
% 35.36/24.00 (v169(constB99)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33821, 31870, 33818])).
% 35.36/24.00 tff(33823,plain,
% 35.36/24.00 (((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB99) | (~v169(constB99)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB99) | (~v169(constB99)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33824,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB99) | (~v169(constB99)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33825,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB99) | (~v169(constB99))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33824, 33823])).
% 35.36/24.00 tff(33826,plain,
% 35.36/24.00 (v168(constB99)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33825, 31881, 33822])).
% 35.36/24.00 tff(33827,plain,
% 35.36/24.00 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB99) | (~v168(constB99)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB99) | (~v168(constB99)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33828,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB99) | (~v168(constB99)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33829,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB99) | (~v168(constB99))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33828, 33827])).
% 35.36/24.00 tff(33830,plain,
% 35.36/24.00 (v167(constB99)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33829, 30412, 33826])).
% 35.36/24.00 tff(33831,plain,
% 35.36/24.00 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB99)) | (~v170(constB99)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB99)) | (~v170(constB99)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33832,plain,
% 35.36/24.00 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB99)) | (~v170(constB99)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33833,plain,
% 35.36/24.00 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB99)) | (~v170(constB99))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33832, 33831])).
% 35.36/24.00 tff(33834,plain,
% 35.36/24.00 (~v170(constB99)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33833, 23647, 33830])).
% 35.36/24.00 tff(33835,plain,
% 35.36/24.00 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB99) | (~v167(constB99)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB99) | (~v167(constB99)))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33836,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB99) | (~v167(constB99)))),
% 35.36/24.00 inference(quant_inst,[status(thm)],[])).
% 35.36/24.00 tff(33837,plain,
% 35.36/24.00 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB99) | (~v167(constB99))),
% 35.36/24.00 inference(modus_ponens,[status(thm)],[33836, 33835])).
% 35.36/24.00 tff(33838,plain,
% 35.36/24.00 (v166(constB99)),
% 35.36/24.00 inference(unit_resolution,[status(thm)],[33837, 23658, 33830])).
% 35.36/24.00 tff(33839,plain,
% 35.36/24.00 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB99)) | (~v166(constB99)) | v170(constB99))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB99)) | (~v166(constB99)) | v170(constB99))),
% 35.36/24.00 inference(rewrite,[status(thm)],[])).
% 35.36/24.00 tff(33840,plain,
% 35.36/24.00 (((~v166(constB99)) | v170(constB99) | (~v163(constB99))) <=> ((~v163(constB99)) | (~v166(constB99)) | v170(constB99))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33841,plain,
% 35.36/24.01 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB99)) | v170(constB99) | (~v163(constB99)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB99)) | (~v166(constB99)) | v170(constB99)))),
% 35.36/24.01 inference(monotonicity,[status(thm)],[33840])).
% 35.36/24.01 tff(33842,plain,
% 35.36/24.01 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB99)) | v170(constB99) | (~v163(constB99)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB99)) | (~v166(constB99)) | v170(constB99))),
% 35.36/24.01 inference(transitivity,[status(thm)],[33841, 33839])).
% 35.36/24.01 tff(33843,plain,
% 35.36/24.01 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB99)) | v170(constB99) | (~v163(constB99)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33844,plain,
% 35.36/24.01 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB99)) | (~v166(constB99)) | v170(constB99)),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33843, 33842])).
% 35.36/24.01 tff(33845,plain,
% 35.36/24.01 (~v163(constB99)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33844, 23672, 33838, 33834])).
% 35.36/24.01 tff(33846,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB99) | (~nextState(constB99, constB100)) | (~v186(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB99) | (~nextState(constB99, constB100)) | (~v186(constB100)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33847,plain,
% 35.36/24.01 (((~nextState(constB99, constB100)) | v163(constB99) | (~v186(constB100))) <=> (v163(constB99) | (~nextState(constB99, constB100)) | (~v186(constB100)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33848,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB99, constB100)) | v163(constB99) | (~v186(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB99) | (~nextState(constB99, constB100)) | (~v186(constB100))))),
% 35.36/24.01 inference(monotonicity,[status(thm)],[33847])).
% 35.36/24.01 tff(33849,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB99, constB100)) | v163(constB99) | (~v186(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB99) | (~nextState(constB99, constB100)) | (~v186(constB100)))),
% 35.36/24.01 inference(transitivity,[status(thm)],[33848, 33846])).
% 35.36/24.01 tff(33850,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB99, constB100)) | v163(constB99) | (~v186(constB100)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33851,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB99) | (~nextState(constB99, constB100)) | (~v186(constB100))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33850, 33849])).
% 35.36/24.01 tff(33852,plain,
% 35.36/24.01 (v163(constB99) | (~v186(constB100))),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33851, 23806, 14385])).
% 35.36/24.01 tff(33853,plain,
% 35.36/24.01 (~v186(constB100)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33852, 33845])).
% 35.36/24.01 tff(33854,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB99, constB100)) | v181(constB100) | v104(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB99, constB100)) | v181(constB100) | v104(constB100))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33855,plain,
% 35.36/24.01 (((~nextState(constB99, constB100)) | v104(constB100) | v181(constB100)) <=> ((~nextState(constB99, constB100)) | v181(constB100) | v104(constB100))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33856,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | v181(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB99, constB100)) | v181(constB100) | v104(constB100)))),
% 35.36/24.01 inference(monotonicity,[status(thm)],[33855])).
% 35.36/24.01 tff(33857,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | v181(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB99, constB100)) | v181(constB100) | v104(constB100))),
% 35.36/24.01 inference(transitivity,[status(thm)],[33856, 33854])).
% 35.36/24.01 tff(33858,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | v181(constB100))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33859,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB99, constB100)) | v181(constB100) | v104(constB100)),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33858, 33857])).
% 35.36/24.01 tff(33860,plain,
% 35.36/24.01 (v181(constB100) | v104(constB100)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33859, 23828, 14385])).
% 35.36/24.01 tff(33861,plain,
% 35.36/24.01 (v181(constB100)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33860, 14441])).
% 35.36/24.01 tff(33862,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB99, constB100)) | v180(constB100) | (~v1(constB100)) | (~v181(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB99, constB100)) | v180(constB100) | (~v1(constB100)) | (~v181(constB100)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33863,plain,
% 35.36/24.01 (((~nextState(constB99, constB100)) | (~v1(constB100)) | v180(constB100) | (~v181(constB100))) <=> ((~nextState(constB99, constB100)) | v180(constB100) | (~v1(constB100)) | (~v181(constB100)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33864,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB99, constB100)) | (~v1(constB100)) | v180(constB100) | (~v181(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB99, constB100)) | v180(constB100) | (~v1(constB100)) | (~v181(constB100))))),
% 35.36/24.01 inference(monotonicity,[status(thm)],[33863])).
% 35.36/24.01 tff(33865,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB99, constB100)) | (~v1(constB100)) | v180(constB100) | (~v181(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB99, constB100)) | v180(constB100) | (~v1(constB100)) | (~v181(constB100)))),
% 35.36/24.01 inference(transitivity,[status(thm)],[33864, 33862])).
% 35.36/24.01 tff(33866,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB99, constB100)) | (~v1(constB100)) | v180(constB100) | (~v181(constB100)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33867,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB99, constB100)) | v180(constB100) | (~v1(constB100)) | (~v181(constB100))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33866, 33865])).
% 35.36/24.01 tff(33868,plain,
% 35.36/24.01 (v180(constB100) | (~v181(constB100))),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33867, 23846, 14385, 14452])).
% 35.36/24.01 tff(33869,plain,
% 35.36/24.01 (v180(constB100)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33868, 33861])).
% 35.36/24.01 tff(33870,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB99, constB100)) | v179(constB100) | (~v180(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB99, constB100)) | v179(constB100) | (~v180(constB100)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33871,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB99, constB100)) | v179(constB100) | (~v180(constB100)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33872,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB99, constB100)) | v179(constB100) | (~v180(constB100))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33871, 33870])).
% 35.36/24.01 tff(33873,plain,
% 35.36/24.01 (v179(constB100) | (~v180(constB100))),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33872, 23864, 14385])).
% 35.36/24.01 tff(33874,plain,
% 35.36/24.01 (v179(constB100)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33873, 33869])).
% 35.36/24.01 tff(33875,plain,
% 35.36/24.01 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB100)) | v186(constB100) | (~v179(constB100)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB100)) | v186(constB100) | (~v179(constB100)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33876,plain,
% 35.36/24.01 (((~v179(constB100)) | (~v159(constB100)) | v186(constB100)) <=> ((~v159(constB100)) | v186(constB100) | (~v179(constB100)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33877,plain,
% 35.36/24.01 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB100)) | (~v159(constB100)) | v186(constB100))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB100)) | v186(constB100) | (~v179(constB100))))),
% 35.36/24.01 inference(monotonicity,[status(thm)],[33876])).
% 35.36/24.01 tff(33878,plain,
% 35.36/24.01 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB100)) | (~v159(constB100)) | v186(constB100))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB100)) | v186(constB100) | (~v179(constB100)))),
% 35.36/24.01 inference(transitivity,[status(thm)],[33877, 33875])).
% 35.36/24.01 tff(33879,plain,
% 35.36/24.01 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB100)) | (~v159(constB100)) | v186(constB100))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33880,plain,
% 35.36/24.01 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB100)) | v186(constB100) | (~v179(constB100))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33879, 33878])).
% 35.36/24.01 tff(33881,plain,
% 35.36/24.01 ((~v159(constB100)) | v186(constB100)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33880, 23879, 33874])).
% 35.36/24.01 tff(33882,plain,
% 35.36/24.01 (~v159(constB100)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33881, 33853])).
% 35.36/24.01 tff(33883,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v180(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v180(constB101)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33884,plain,
% 35.36/24.01 (((~nextState(constB100, constB101)) | v1(constB101) | (~v180(constB101))) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v180(constB101)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33885,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB100, constB101)) | v1(constB101) | (~v180(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v180(constB101))))),
% 35.36/24.01 inference(monotonicity,[status(thm)],[33884])).
% 35.36/24.01 tff(33886,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB100, constB101)) | v1(constB101) | (~v180(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v180(constB101)))),
% 35.36/24.01 inference(transitivity,[status(thm)],[33885, 33883])).
% 35.36/24.01 tff(33887,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB100, constB101)) | v1(constB101) | (~v180(constB101)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33888,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v180(constB101))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33887, 33886])).
% 35.36/24.01 tff(33889,plain,
% 35.36/24.01 (~v180(constB101)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33888, 23900, 14483, 14480])).
% 35.36/24.01 tff(33890,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB100, constB101)) | v180(constB101) | (~v179(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB100, constB101)) | v180(constB101) | (~v179(constB101)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33891,plain,
% 35.36/24.01 (((~nextState(constB100, constB101)) | (~v179(constB101)) | v180(constB101)) <=> ((~nextState(constB100, constB101)) | v180(constB101) | (~v179(constB101)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33892,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB100, constB101)) | (~v179(constB101)) | v180(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB100, constB101)) | v180(constB101) | (~v179(constB101))))),
% 35.36/24.01 inference(monotonicity,[status(thm)],[33891])).
% 35.36/24.01 tff(33893,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB100, constB101)) | (~v179(constB101)) | v180(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB100, constB101)) | v180(constB101) | (~v179(constB101)))),
% 35.36/24.01 inference(transitivity,[status(thm)],[33892, 33890])).
% 35.36/24.01 tff(33894,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB100, constB101)) | (~v179(constB101)) | v180(constB101))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33895,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB100, constB101)) | v180(constB101) | (~v179(constB101))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33894, 33893])).
% 35.36/24.01 tff(33896,plain,
% 35.36/24.01 (v180(constB101) | (~v179(constB101))),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33895, 23917, 14483])).
% 35.36/24.01 tff(33897,plain,
% 35.36/24.01 (~v179(constB101)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33896, 33889])).
% 35.36/24.01 tff(33898,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB100) | (~nextState(constB100, constB101)) | v179(constB101) | (~v159(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB100) | (~nextState(constB100, constB101)) | v179(constB101) | (~v159(constB101)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33899,plain,
% 35.36/24.01 (((~nextState(constB100, constB101)) | v179(constB101) | v159(constB100) | (~v159(constB101))) <=> (v159(constB100) | (~nextState(constB100, constB101)) | v179(constB101) | (~v159(constB101)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33900,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB100, constB101)) | v179(constB101) | v159(constB100) | (~v159(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB100) | (~nextState(constB100, constB101)) | v179(constB101) | (~v159(constB101))))),
% 35.36/24.01 inference(monotonicity,[status(thm)],[33899])).
% 35.36/24.01 tff(33901,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB100, constB101)) | v179(constB101) | v159(constB100) | (~v159(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB100) | (~nextState(constB100, constB101)) | v179(constB101) | (~v159(constB101)))),
% 35.36/24.01 inference(transitivity,[status(thm)],[33900, 33898])).
% 35.36/24.01 tff(33902,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB100, constB101)) | v179(constB101) | v159(constB100) | (~v159(constB101)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33903,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB100) | (~nextState(constB100, constB101)) | v179(constB101) | (~v159(constB101))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33902, 33901])).
% 35.36/24.01 tff(33904,plain,
% 35.36/24.01 (v159(constB100) | v179(constB101) | (~v159(constB101))),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33903, 23935, 14483])).
% 35.36/24.01 tff(33905,plain,
% 35.36/24.01 (v159(constB100) | (~v159(constB101))),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33904, 33897])).
% 35.36/24.01 tff(33906,plain,
% 35.36/24.01 (~v159(constB101)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33905, 33882])).
% 35.36/24.01 tff(33907,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB101) | (~v201(constB101)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB101) | (~v201(constB101)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33908,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB101) | (~v201(constB101)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33909,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB101) | (~v201(constB101))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33908, 33907])).
% 35.36/24.01 tff(33910,plain,
% 35.36/24.01 (~v201(constB101)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33909, 23951, 33906])).
% 35.36/24.01 tff(33911,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB101) | (~v200(constB101)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB101) | (~v200(constB101)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33912,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB101) | (~v200(constB101)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33913,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB101) | (~v200(constB101))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33912, 33911])).
% 35.36/24.01 tff(33914,plain,
% 35.36/24.01 (~v200(constB101)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33913, 23697, 33910])).
% 35.36/24.01 tff(33915,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB101) | (~v198(constB101)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB101) | (~v198(constB101)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33916,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB101) | (~v198(constB101)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33917,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB101) | (~v198(constB101))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33916, 33915])).
% 35.36/24.01 tff(33918,plain,
% 35.36/24.01 (~v198(constB101)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33917, 23708, 33914])).
% 35.36/24.01 tff(33919,assumption,(v18(constB102)), introduced(assumption)).
% 35.36/24.01 tff(33920,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB102))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33921,plain,
% 35.36/24.01 ($false),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33920, 8, 33919])).
% 35.36/24.01 tff(33922,plain,(~v18(constB102)), inference(lemma,lemma(discharge,[]))).
% 35.36/24.01 tff(33923,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33924,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33925,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33924, 33923])).
% 35.36/24.01 tff(33926,plain,
% 35.36/24.01 (v22(constB102)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33925, 21, 14649])).
% 35.36/24.01 tff(33927,plain,
% 35.36/24.01 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB102)) | (~v22(constB102)) | v18(constB102))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB102)) | (~v22(constB102)) | v18(constB102))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33928,plain,
% 35.36/24.01 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB102)) | (~v22(constB102)) | v18(constB102))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33929,plain,
% 35.36/24.01 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB102)) | (~v22(constB102)) | v18(constB102)),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33928, 33927])).
% 35.36/24.01 tff(33930,plain,
% 35.36/24.01 ((~v19(constB102)) | v18(constB102)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33929, 35, 33926])).
% 35.36/24.01 tff(33931,plain,
% 35.36/24.01 (~v19(constB102)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33930, 33922])).
% 35.36/24.01 tff(33932,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33933,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33934,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102)),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33933, 33932])).
% 35.36/24.01 tff(33935,plain,
% 35.36/24.01 (v13(constB102)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33934, 50, 33931])).
% 35.36/24.01 tff(33936,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33937,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33938,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101)),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33937, 33936])).
% 35.36/24.01 tff(33939,plain,
% 35.36/24.01 ((~v13(constB102)) | v9(constB101)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33938, 67, 14626])).
% 35.36/24.01 tff(33940,plain,
% 35.36/24.01 (v9(constB101)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33939, 33935])).
% 35.36/24.01 tff(33941,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v197(constB101))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB101) | (~v9(constB101)) | v197(constB101))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33942,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v197(constB101))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33943,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB101) | (~v9(constB101)) | v197(constB101)),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33942, 33941])).
% 35.36/24.01 tff(33944,plain,
% 35.36/24.01 ((~v9(constB101)) | v197(constB101)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33943, 85, 14480])).
% 35.36/24.01 tff(33945,plain,
% 35.36/24.01 (v197(constB101)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33944, 33940])).
% 35.36/24.01 tff(33946,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB101) | (~v197(constB101)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB101) | (~v197(constB101)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33947,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB101) | (~v197(constB101)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33948,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB101) | (~v197(constB101))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33947, 33946])).
% 35.36/24.01 tff(33949,plain,
% 35.36/24.01 (v196(constB101)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33948, 97, 33945])).
% 35.36/24.01 tff(33950,plain,
% 35.36/24.01 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB101)) | (~v196(constB101)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB101)) | (~v196(constB101)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33951,plain,
% 35.36/24.01 (((~v196(constB101)) | (~v194(constB101))) <=> ((~v194(constB101)) | (~v196(constB101)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33952,plain,
% 35.36/24.01 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB101)) | (~v194(constB101)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB101)) | (~v196(constB101))))),
% 35.36/24.01 inference(monotonicity,[status(thm)],[33951])).
% 35.36/24.01 tff(33953,plain,
% 35.36/24.01 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB101)) | (~v194(constB101)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB101)) | (~v196(constB101)))),
% 35.36/24.01 inference(transitivity,[status(thm)],[33952, 33950])).
% 35.36/24.01 tff(33954,plain,
% 35.36/24.01 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB101)) | (~v194(constB101)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33955,plain,
% 35.36/24.01 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB101)) | (~v196(constB101))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33954, 33953])).
% 35.36/24.01 tff(33956,plain,
% 35.36/24.01 (~v194(constB101)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33955, 108, 33949])).
% 35.36/24.01 tff(33957,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB101) | v198(constB101) | (~v191(constB101)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB101) | v198(constB101) | (~v191(constB101)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33958,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB101) | v198(constB101) | (~v191(constB101)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33959,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB101) | v198(constB101) | (~v191(constB101))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33958, 33957])).
% 35.36/24.01 tff(33960,plain,
% 35.36/24.01 (v198(constB101) | (~v191(constB101))),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33959, 23722, 33956])).
% 35.36/24.01 tff(33961,plain,
% 35.36/24.01 (~v191(constB101)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33960, 33918])).
% 35.36/24.01 tff(33962,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB101, constB102)) | v191(constB101) | (~v193(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB101, constB102)) | v191(constB101) | (~v193(constB102)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33963,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB101, constB102)) | v191(constB101) | (~v193(constB102)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33964,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB101, constB102)) | v191(constB101) | (~v193(constB102))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33963, 33962])).
% 35.36/24.01 tff(33965,plain,
% 35.36/24.01 (v191(constB101) | (~v193(constB102))),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33964, 23737, 14626])).
% 35.36/24.01 tff(33966,plain,
% 35.36/24.01 (~v193(constB102)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33965, 33961])).
% 35.36/24.01 tff(33967,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB102) | (~v194(constB102)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB102) | (~v194(constB102)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33968,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB102) | (~v194(constB102)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33969,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB102) | (~v194(constB102))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33968, 33967])).
% 35.36/24.01 tff(33970,plain,
% 35.36/24.01 (~v194(constB102)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33969, 23749, 33966])).
% 35.36/24.01 tff(33971,plain,
% 35.36/24.01 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB102)) | (~v197(constB102)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB102)) | (~v197(constB102)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33972,plain,
% 35.36/24.01 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB102)) | (~v197(constB102)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33973,plain,
% 35.36/24.01 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB102)) | (~v197(constB102))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33972, 33971])).
% 35.36/24.01 tff(33974,plain,
% 35.36/24.01 (~v197(constB102)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33973, 23760, 14649])).
% 35.36/24.01 tff(33975,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB102) | (~v200(constB102)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB102) | (~v200(constB102)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33976,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB102) | (~v200(constB102)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33977,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB102) | (~v200(constB102))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33976, 33975])).
% 35.36/24.01 tff(33978,plain,
% 35.36/24.01 (~v200(constB102)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33977, 23771, 33974])).
% 35.36/24.01 tff(33979,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB102) | (~v198(constB102)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB102) | (~v198(constB102)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33980,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB102) | (~v198(constB102)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33981,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB102) | (~v198(constB102))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33980, 33979])).
% 35.36/24.01 tff(33982,plain,
% 35.36/24.01 (~v198(constB102)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33981, 23708, 33978])).
% 35.36/24.01 tff(33983,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB102) | v198(constB102) | (~v191(constB102)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB102) | v198(constB102) | (~v191(constB102)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33984,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB102) | v198(constB102) | (~v191(constB102)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33985,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB102) | v198(constB102) | (~v191(constB102))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33984, 33983])).
% 35.36/24.01 tff(33986,plain,
% 35.36/24.01 (v194(constB102) | (~v191(constB102))),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33985, 23722, 33982])).
% 35.36/24.01 tff(33987,plain,
% 35.36/24.01 (~v191(constB102)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33986, 33970])).
% 35.36/24.01 tff(33988,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB102, constB103)) | v191(constB102) | (~v193(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB102, constB103)) | v191(constB102) | (~v193(constB103)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33989,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB102, constB103)) | v191(constB102) | (~v193(constB103)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33990,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB102, constB103)) | v191(constB102) | (~v193(constB103))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33989, 33988])).
% 35.36/24.01 tff(33991,plain,
% 35.36/24.01 (v191(constB102) | (~v193(constB103))),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33990, 23737, 14697])).
% 35.36/24.01 tff(33992,plain,
% 35.36/24.01 (~v193(constB103)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33991, 33987])).
% 35.36/24.01 tff(33993,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB103) | (~v194(constB103)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB103) | (~v194(constB103)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33994,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB103) | (~v194(constB103)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33995,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB103) | (~v194(constB103))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33994, 33993])).
% 35.36/24.01 tff(33996,plain,
% 35.36/24.01 (~v194(constB103)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33995, 23749, 33992])).
% 35.36/24.01 tff(33997,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB103) | v198(constB103) | (~v191(constB103)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB103) | v198(constB103) | (~v191(constB103)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(33998,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB103) | v198(constB103) | (~v191(constB103)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(33999,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB103) | v198(constB103) | (~v191(constB103))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[33998, 33997])).
% 35.36/24.01 tff(34000,plain,
% 35.36/24.01 (v198(constB103) | (~v191(constB103))),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[33999, 23722, 33996])).
% 35.36/24.01 tff(34001,plain,
% 35.36/24.01 (~v191(constB103)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[34000, 33799])).
% 35.36/24.01 tff(34002,plain,
% 35.36/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB103, constB104)) | v191(constB103) | (~v193(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB103, constB104)) | v191(constB103) | (~v193(constB104)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(34003,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB103, constB104)) | v191(constB103) | (~v193(constB104)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(34004,plain,
% 35.36/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB103, constB104)) | v191(constB103) | (~v193(constB104))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[34003, 34002])).
% 35.36/24.01 tff(34005,plain,
% 35.36/24.01 (v191(constB103) | (~v193(constB104))),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[34004, 23737, 14803])).
% 35.36/24.01 tff(34006,plain,
% 35.36/24.01 (~v193(constB104)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[34005, 34001])).
% 35.36/24.01 tff(34007,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB104) | (~v194(constB104)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB104) | (~v194(constB104)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(34008,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB104) | (~v194(constB104)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(34009,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB104) | (~v194(constB104))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[34008, 34007])).
% 35.36/24.01 tff(34010,plain,
% 35.36/24.01 (~v194(constB104)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[34009, 23749, 34006])).
% 35.36/24.01 tff(34011,plain,
% 35.36/24.01 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB104)) | (~v197(constB104)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB104)) | (~v197(constB104)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(34012,plain,
% 35.36/24.01 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB104)) | (~v197(constB104)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(34013,plain,
% 35.36/24.01 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB104)) | (~v197(constB104))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[34012, 34011])).
% 35.36/24.01 tff(34014,plain,
% 35.36/24.01 (~v197(constB104)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[34013, 23760, 14858])).
% 35.36/24.01 tff(34015,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB104) | (~v200(constB104)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB104) | (~v200(constB104)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(34016,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB104) | (~v200(constB104)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(34017,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB104) | (~v200(constB104))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[34016, 34015])).
% 35.36/24.01 tff(34018,plain,
% 35.36/24.01 (~v200(constB104)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[34017, 23771, 34014])).
% 35.36/24.01 tff(34019,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB104) | (~v198(constB104)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB104) | (~v198(constB104)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.01 tff(34020,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB104) | (~v198(constB104)))),
% 35.36/24.01 inference(quant_inst,[status(thm)],[])).
% 35.36/24.01 tff(34021,plain,
% 35.36/24.01 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB104) | (~v198(constB104))),
% 35.36/24.01 inference(modus_ponens,[status(thm)],[34020, 34019])).
% 35.36/24.01 tff(34022,plain,
% 35.36/24.01 (~v198(constB104)),
% 35.36/24.01 inference(unit_resolution,[status(thm)],[34021, 23708, 34018])).
% 35.36/24.01 tff(34023,plain,
% 35.36/24.01 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB104) | v198(constB104) | (~v191(constB104)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB104) | v198(constB104) | (~v191(constB104)))),
% 35.36/24.01 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34024,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB104) | v198(constB104) | (~v191(constB104)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34025,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB104) | v198(constB104) | (~v191(constB104))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34024, 34023])).
% 35.36/24.02 tff(34026,plain,
% 35.36/24.02 (v194(constB104) | (~v191(constB104))),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34025, 23722, 34022])).
% 35.36/24.02 tff(34027,plain,
% 35.36/24.02 (~v191(constB104)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34026, 34010])).
% 35.36/24.02 tff(34028,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB104, constB105)) | v191(constB104) | (~v193(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB104, constB105)) | v191(constB104) | (~v193(constB105)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34029,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB104, constB105)) | v191(constB104) | (~v193(constB105)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34030,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB104, constB105)) | v191(constB104) | (~v193(constB105))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34029, 34028])).
% 35.36/24.02 tff(34031,plain,
% 35.36/24.02 (v191(constB104) | (~v193(constB105))),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34030, 23737, 15142])).
% 35.36/24.02 tff(34032,plain,
% 35.36/24.02 (~v193(constB105)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34031, 34027])).
% 35.36/24.02 tff(34033,plain,
% 35.36/24.02 ($false),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34032, 33675])).
% 35.36/24.02 tff(34034,plain,(~(constB105 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/24.02 tff(34035,assumption,(constB24 = sK0_VarCurr), introduced(assumption)).
% 35.36/24.02 tff(34036,plain,
% 35.36/24.02 (v1(constB24) <=> v1(sK0_VarCurr)),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34035])).
% 35.36/24.02 tff(34037,plain,
% 35.36/24.02 (v1(sK0_VarCurr) <=> v1(constB24)),
% 35.36/24.02 inference(symmetry,[status(thm)],[34036])).
% 35.36/24.02 tff(34038,plain,
% 35.36/24.02 ((~v1(sK0_VarCurr)) <=> (~v1(constB24))),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34037])).
% 35.36/24.02 tff(34039,plain,
% 35.36/24.02 (~v1(constB24)),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[29884, 34038])).
% 35.36/24.02 tff(34040,plain,
% 35.36/24.02 ($false),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[3840, 34039])).
% 35.36/24.02 tff(34041,plain,(~(constB24 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/24.02 tff(34042,assumption,(constB68 = sK0_VarCurr), introduced(assumption)).
% 35.36/24.02 tff(34043,plain,
% 35.36/24.02 (v1(constB68) <=> v1(sK0_VarCurr)),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34042])).
% 35.36/24.02 tff(34044,plain,
% 35.36/24.02 (v1(sK0_VarCurr) <=> v1(constB68)),
% 35.36/24.02 inference(symmetry,[status(thm)],[34043])).
% 35.36/24.02 tff(34045,plain,
% 35.36/24.02 ((~v1(sK0_VarCurr)) <=> (~v1(constB68))),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34044])).
% 35.36/24.02 tff(34046,plain,
% 35.36/24.02 (~v1(constB68)),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[29884, 34045])).
% 35.36/24.02 tff(34047,plain,
% 35.36/24.02 ($false),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[10855, 34046])).
% 35.36/24.02 tff(34048,plain,(~(constB68 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/24.02 tff(34049,assumption,(constB46 = sK0_VarCurr), introduced(assumption)).
% 35.36/24.02 tff(34050,plain,
% 35.36/24.02 (v1(constB46) <=> v1(sK0_VarCurr)),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34049])).
% 35.36/24.02 tff(34051,plain,
% 35.36/24.02 (v1(sK0_VarCurr) <=> v1(constB46)),
% 35.36/24.02 inference(symmetry,[status(thm)],[34050])).
% 35.36/24.02 tff(34052,plain,
% 35.36/24.02 ((~v1(sK0_VarCurr)) <=> (~v1(constB46))),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34051])).
% 35.36/24.02 tff(34053,plain,
% 35.36/24.02 (~v1(constB46)),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[29884, 34052])).
% 35.36/24.02 tff(34054,plain,
% 35.36/24.02 ($false),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[8234, 34053])).
% 35.36/24.02 tff(34055,plain,(~(constB46 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/24.02 tff(34056,assumption,(constB42 = sK0_VarCurr), introduced(assumption)).
% 35.36/24.02 tff(34057,plain,
% 35.36/24.02 (v1(constB42) <=> v1(sK0_VarCurr)),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34056])).
% 35.36/24.02 tff(34058,plain,
% 35.36/24.02 (v1(sK0_VarCurr) <=> v1(constB42)),
% 35.36/24.02 inference(symmetry,[status(thm)],[34057])).
% 35.36/24.02 tff(34059,plain,
% 35.36/24.02 ((~v1(sK0_VarCurr)) <=> (~v1(constB42))),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34058])).
% 35.36/24.02 tff(34060,plain,
% 35.36/24.02 (~v1(constB42)),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[29884, 34059])).
% 35.36/24.02 tff(34061,plain,
% 35.36/24.02 ($false),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[7791, 34060])).
% 35.36/24.02 tff(34062,plain,(~(constB42 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/24.02 tff(34063,assumption,(constB117 = sK0_VarCurr), introduced(assumption)).
% 35.36/24.02 tff(34064,plain,
% 35.36/24.02 (v193(constB117) <=> v193(sK0_VarCurr)),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34063])).
% 35.36/24.02 tff(34065,plain,
% 35.36/24.02 (v193(sK0_VarCurr) <=> v193(constB117)),
% 35.36/24.02 inference(symmetry,[status(thm)],[34064])).
% 35.36/24.02 tff(34066,plain,
% 35.36/24.02 (v193(constB117)),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[24025, 34065])).
% 35.36/24.02 tff(34067,plain,
% 35.36/24.02 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB113, bitIndex2) | (~v88(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB113, bitIndex2) | (~v88(constB113, bitIndex2)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34068,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB113, bitIndex2) | (~v88(constB113, bitIndex2)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34069,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB113, bitIndex2) | (~v88(constB113, bitIndex2))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34068, 34067])).
% 35.36/24.02 tff(34070,plain,
% 35.36/24.02 (~v88(constB113, bitIndex2)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34069, 24075, 17375])).
% 35.36/24.02 tff(34071,plain,
% 35.36/24.02 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB113, bitIndex0) | (~v88(constB113, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB113, bitIndex0) | (~v88(constB113, bitIndex0)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34072,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB113, bitIndex0) | (~v88(constB113, bitIndex0)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34073,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB113, bitIndex0) | (~v88(constB113, bitIndex0))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34072, 34071])).
% 35.36/24.02 tff(34074,plain,
% 35.36/24.02 (~v88(constB113, bitIndex0)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34073, 23593, 17440])).
% 35.36/24.02 tff(34075,plain,
% 35.36/24.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB113, bitIndex1)) | v88(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB113, bitIndex1)) | v88(constB113, bitIndex1))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34076,plain,
% 35.36/24.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB113, bitIndex1)) | v88(constB113, bitIndex1))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34077,plain,
% 35.36/24.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB113, bitIndex1)) | v88(constB113, bitIndex1)),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34076, 34075])).
% 35.36/24.02 tff(34078,plain,
% 35.36/24.02 (v88(constB113, bitIndex1)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34077, 23528, 17406])).
% 35.36/24.02 tff(34079,plain,
% 35.36/24.02 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0) | v143(constB113))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0) | v143(constB113))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34080,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0) | v143(constB113))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34081,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0) | v143(constB113)),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34080, 34079])).
% 35.36/24.02 tff(34082,plain,
% 35.36/24.02 (v143(constB113)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34081, 24097, 34078, 34074, 34070])).
% 35.36/24.02 tff(34083,plain,
% 35.36/24.02 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB113) | (~v143(constB113)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB113) | (~v143(constB113)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34084,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB113) | (~v143(constB113)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34085,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB113) | (~v143(constB113))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34084, 34083])).
% 35.36/24.02 tff(34086,plain,
% 35.36/24.02 (v142(constB113)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34085, 24111, 34082])).
% 35.36/24.02 tff(34087,plain,
% 35.36/24.02 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB113) | (~v142(constB113)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB113) | (~v142(constB113)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34088,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB113) | (~v142(constB113)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34089,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB113) | (~v142(constB113))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34088, 34087])).
% 35.36/24.02 tff(34090,plain,
% 35.36/24.02 (v167(constB113)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34089, 23633, 34086])).
% 35.36/24.02 tff(34091,plain,
% 35.36/24.02 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB113)) | (~v170(constB113)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB113)) | (~v170(constB113)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34092,plain,
% 35.36/24.02 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB113)) | (~v170(constB113)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34093,plain,
% 35.36/24.02 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB113)) | (~v170(constB113))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34092, 34091])).
% 35.36/24.02 tff(34094,plain,
% 35.36/24.02 (~v170(constB113)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34093, 23647, 34090])).
% 35.36/24.02 tff(34095,plain,
% 35.36/24.02 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB113) | (~v167(constB113)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB113) | (~v167(constB113)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34096,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB113) | (~v167(constB113)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34097,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB113) | (~v167(constB113))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34096, 34095])).
% 35.36/24.02 tff(34098,plain,
% 35.36/24.02 (v166(constB113)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34097, 23658, 34090])).
% 35.36/24.02 tff(34099,plain,
% 35.36/24.02 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB113)) | (~v166(constB113)) | v170(constB113))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB113)) | (~v166(constB113)) | v170(constB113))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34100,plain,
% 35.36/24.02 (((~v166(constB113)) | v170(constB113) | (~v163(constB113))) <=> ((~v163(constB113)) | (~v166(constB113)) | v170(constB113))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34101,plain,
% 35.36/24.02 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB113)) | v170(constB113) | (~v163(constB113)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB113)) | (~v166(constB113)) | v170(constB113)))),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34100])).
% 35.36/24.02 tff(34102,plain,
% 35.36/24.02 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB113)) | v170(constB113) | (~v163(constB113)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB113)) | (~v166(constB113)) | v170(constB113))),
% 35.36/24.02 inference(transitivity,[status(thm)],[34101, 34099])).
% 35.36/24.02 tff(34103,plain,
% 35.36/24.02 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB113)) | v170(constB113) | (~v163(constB113)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34104,plain,
% 35.36/24.02 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB113)) | (~v166(constB113)) | v170(constB113)),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34103, 34102])).
% 35.36/24.02 tff(34105,plain,
% 35.36/24.02 (~v163(constB113)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34104, 23672, 34098, 34094])).
% 35.36/24.02 tff(34106,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB113) | (~nextState(constB113, constB114)) | (~v186(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB113) | (~nextState(constB113, constB114)) | (~v186(constB114)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34107,plain,
% 35.36/24.02 (((~nextState(constB113, constB114)) | v163(constB113) | (~v186(constB114))) <=> (v163(constB113) | (~nextState(constB113, constB114)) | (~v186(constB114)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34108,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB113, constB114)) | v163(constB113) | (~v186(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB113) | (~nextState(constB113, constB114)) | (~v186(constB114))))),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34107])).
% 35.36/24.02 tff(34109,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB113, constB114)) | v163(constB113) | (~v186(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB113) | (~nextState(constB113, constB114)) | (~v186(constB114)))),
% 35.36/24.02 inference(transitivity,[status(thm)],[34108, 34106])).
% 35.36/24.02 tff(34110,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB113, constB114)) | v163(constB113) | (~v186(constB114)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34111,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB113) | (~nextState(constB113, constB114)) | (~v186(constB114))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34110, 34109])).
% 35.36/24.02 tff(34112,plain,
% 35.36/24.02 (v163(constB113) | (~v186(constB114))),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34111, 23806, 17483])).
% 35.36/24.02 tff(34113,plain,
% 35.36/24.02 (~v186(constB114)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34112, 34105])).
% 35.36/24.02 tff(34114,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB113, constB114)) | v181(constB114) | v104(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB113, constB114)) | v181(constB114) | v104(constB114))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34115,plain,
% 35.36/24.02 (((~nextState(constB113, constB114)) | v104(constB114) | v181(constB114)) <=> ((~nextState(constB113, constB114)) | v181(constB114) | v104(constB114))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34116,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | v181(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB113, constB114)) | v181(constB114) | v104(constB114)))),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34115])).
% 35.36/24.02 tff(34117,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | v181(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB113, constB114)) | v181(constB114) | v104(constB114))),
% 35.36/24.02 inference(transitivity,[status(thm)],[34116, 34114])).
% 35.36/24.02 tff(34118,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | v181(constB114))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34119,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB113, constB114)) | v181(constB114) | v104(constB114)),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34118, 34117])).
% 35.36/24.02 tff(34120,plain,
% 35.36/24.02 (v181(constB114) | v104(constB114)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34119, 23828, 17483])).
% 35.36/24.02 tff(34121,plain,
% 35.36/24.02 (v181(constB114)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34120, 17495])).
% 35.36/24.02 tff(34122,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB113, constB114)) | v180(constB114) | (~v1(constB114)) | (~v181(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB113, constB114)) | v180(constB114) | (~v1(constB114)) | (~v181(constB114)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34123,plain,
% 35.36/24.02 (((~nextState(constB113, constB114)) | (~v1(constB114)) | v180(constB114) | (~v181(constB114))) <=> ((~nextState(constB113, constB114)) | v180(constB114) | (~v1(constB114)) | (~v181(constB114)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34124,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB113, constB114)) | (~v1(constB114)) | v180(constB114) | (~v181(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB113, constB114)) | v180(constB114) | (~v1(constB114)) | (~v181(constB114))))),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34123])).
% 35.36/24.02 tff(34125,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB113, constB114)) | (~v1(constB114)) | v180(constB114) | (~v181(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB113, constB114)) | v180(constB114) | (~v1(constB114)) | (~v181(constB114)))),
% 35.36/24.02 inference(transitivity,[status(thm)],[34124, 34122])).
% 35.36/24.02 tff(34126,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB113, constB114)) | (~v1(constB114)) | v180(constB114) | (~v181(constB114)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34127,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB113, constB114)) | v180(constB114) | (~v1(constB114)) | (~v181(constB114))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34126, 34125])).
% 35.36/24.02 tff(34128,plain,
% 35.36/24.02 (v180(constB114) | (~v181(constB114))),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34127, 23846, 17483, 17506])).
% 35.36/24.02 tff(34129,plain,
% 35.36/24.02 (v180(constB114)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34128, 34121])).
% 35.36/24.02 tff(34130,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB113, constB114)) | v179(constB114) | (~v180(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB113, constB114)) | v179(constB114) | (~v180(constB114)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34131,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB113, constB114)) | v179(constB114) | (~v180(constB114)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34132,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB113, constB114)) | v179(constB114) | (~v180(constB114))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34131, 34130])).
% 35.36/24.02 tff(34133,plain,
% 35.36/24.02 (v179(constB114) | (~v180(constB114))),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34132, 23864, 17483])).
% 35.36/24.02 tff(34134,plain,
% 35.36/24.02 (v179(constB114)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34133, 34129])).
% 35.36/24.02 tff(34135,plain,
% 35.36/24.02 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB114)) | v186(constB114) | (~v179(constB114)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB114)) | v186(constB114) | (~v179(constB114)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34136,plain,
% 35.36/24.02 (((~v179(constB114)) | (~v159(constB114)) | v186(constB114)) <=> ((~v159(constB114)) | v186(constB114) | (~v179(constB114)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34137,plain,
% 35.36/24.02 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB114)) | (~v159(constB114)) | v186(constB114))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB114)) | v186(constB114) | (~v179(constB114))))),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34136])).
% 35.36/24.02 tff(34138,plain,
% 35.36/24.02 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB114)) | (~v159(constB114)) | v186(constB114))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB114)) | v186(constB114) | (~v179(constB114)))),
% 35.36/24.02 inference(transitivity,[status(thm)],[34137, 34135])).
% 35.36/24.02 tff(34139,plain,
% 35.36/24.02 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB114)) | (~v159(constB114)) | v186(constB114))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34140,plain,
% 35.36/24.02 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB114)) | v186(constB114) | (~v179(constB114))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34139, 34138])).
% 35.36/24.02 tff(34141,plain,
% 35.36/24.02 ((~v159(constB114)) | v186(constB114)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34140, 23879, 34134])).
% 35.36/24.02 tff(34142,plain,
% 35.36/24.02 (~v159(constB114)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34141, 34113])).
% 35.36/24.02 tff(34143,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v180(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v180(constB115)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34144,plain,
% 35.36/24.02 (((~nextState(constB114, constB115)) | v1(constB115) | (~v180(constB115))) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v180(constB115)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34145,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB114, constB115)) | v1(constB115) | (~v180(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v180(constB115))))),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34144])).
% 35.36/24.02 tff(34146,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB114, constB115)) | v1(constB115) | (~v180(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v180(constB115)))),
% 35.36/24.02 inference(transitivity,[status(thm)],[34145, 34143])).
% 35.36/24.02 tff(34147,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB114, constB115)) | v1(constB115) | (~v180(constB115)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34148,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v180(constB115))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34147, 34146])).
% 35.36/24.02 tff(34149,plain,
% 35.36/24.02 (~v180(constB115)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34148, 23900, 17554, 17551])).
% 35.36/24.02 tff(34150,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB114, constB115)) | v180(constB115) | (~v179(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB114, constB115)) | v180(constB115) | (~v179(constB115)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34151,plain,
% 35.36/24.02 (((~nextState(constB114, constB115)) | (~v179(constB115)) | v180(constB115)) <=> ((~nextState(constB114, constB115)) | v180(constB115) | (~v179(constB115)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34152,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB114, constB115)) | (~v179(constB115)) | v180(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB114, constB115)) | v180(constB115) | (~v179(constB115))))),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34151])).
% 35.36/24.02 tff(34153,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB114, constB115)) | (~v179(constB115)) | v180(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB114, constB115)) | v180(constB115) | (~v179(constB115)))),
% 35.36/24.02 inference(transitivity,[status(thm)],[34152, 34150])).
% 35.36/24.02 tff(34154,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB114, constB115)) | (~v179(constB115)) | v180(constB115))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34155,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB114, constB115)) | v180(constB115) | (~v179(constB115))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34154, 34153])).
% 35.36/24.02 tff(34156,plain,
% 35.36/24.02 (v180(constB115) | (~v179(constB115))),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34155, 23917, 17554])).
% 35.36/24.02 tff(34157,plain,
% 35.36/24.02 (~v179(constB115)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34156, 34149])).
% 35.36/24.02 tff(34158,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB114) | (~nextState(constB114, constB115)) | v179(constB115) | (~v159(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB114) | (~nextState(constB114, constB115)) | v179(constB115) | (~v159(constB115)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34159,plain,
% 35.36/24.02 (((~nextState(constB114, constB115)) | v179(constB115) | v159(constB114) | (~v159(constB115))) <=> (v159(constB114) | (~nextState(constB114, constB115)) | v179(constB115) | (~v159(constB115)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34160,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB114, constB115)) | v179(constB115) | v159(constB114) | (~v159(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB114) | (~nextState(constB114, constB115)) | v179(constB115) | (~v159(constB115))))),
% 35.36/24.02 inference(monotonicity,[status(thm)],[34159])).
% 35.36/24.02 tff(34161,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB114, constB115)) | v179(constB115) | v159(constB114) | (~v159(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB114) | (~nextState(constB114, constB115)) | v179(constB115) | (~v159(constB115)))),
% 35.36/24.02 inference(transitivity,[status(thm)],[34160, 34158])).
% 35.36/24.02 tff(34162,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB114, constB115)) | v179(constB115) | v159(constB114) | (~v159(constB115)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34163,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB114) | (~nextState(constB114, constB115)) | v179(constB115) | (~v159(constB115))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34162, 34161])).
% 35.36/24.02 tff(34164,plain,
% 35.36/24.02 (v159(constB114) | v179(constB115) | (~v159(constB115))),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34163, 23935, 17554])).
% 35.36/24.02 tff(34165,plain,
% 35.36/24.02 (v159(constB114) | (~v159(constB115))),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34164, 34157])).
% 35.36/24.02 tff(34166,plain,
% 35.36/24.02 (~v159(constB115)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34165, 34142])).
% 35.36/24.02 tff(34167,plain,
% 35.36/24.02 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB115) | (~v201(constB115)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB115) | (~v201(constB115)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34168,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB115) | (~v201(constB115)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34169,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB115) | (~v201(constB115))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34168, 34167])).
% 35.36/24.02 tff(34170,plain,
% 35.36/24.02 (~v201(constB115)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34169, 23951, 34166])).
% 35.36/24.02 tff(34171,plain,
% 35.36/24.02 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB115) | (~v200(constB115)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB115) | (~v200(constB115)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34172,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB115) | (~v200(constB115)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34173,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB115) | (~v200(constB115))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34172, 34171])).
% 35.36/24.02 tff(34174,plain,
% 35.36/24.02 (~v200(constB115)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34173, 23697, 34170])).
% 35.36/24.02 tff(34175,plain,
% 35.36/24.02 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB115) | (~v198(constB115)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB115) | (~v198(constB115)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34176,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB115) | (~v198(constB115)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34177,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB115) | (~v198(constB115))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34176, 34175])).
% 35.36/24.02 tff(34178,plain,
% 35.36/24.02 (~v198(constB115)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34177, 23708, 34174])).
% 35.36/24.02 tff(34179,assumption,(v18(constB116)), introduced(assumption)).
% 35.36/24.02 tff(34180,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB116))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34181,plain,
% 35.36/24.02 ($false),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34180, 8, 34179])).
% 35.36/24.02 tff(34182,plain,(~v18(constB116)), inference(lemma,lemma(discharge,[]))).
% 35.36/24.02 tff(34183,plain,
% 35.36/24.02 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116)))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34184,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34185,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116))),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34184, 34183])).
% 35.36/24.02 tff(34186,plain,
% 35.36/24.02 (v22(constB116)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34185, 21, 17696])).
% 35.36/24.02 tff(34187,plain,
% 35.36/24.02 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB116)) | (~v22(constB116)) | v18(constB116))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB116)) | (~v22(constB116)) | v18(constB116))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34188,plain,
% 35.36/24.02 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB116)) | (~v22(constB116)) | v18(constB116))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34189,plain,
% 35.36/24.02 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB116)) | (~v22(constB116)) | v18(constB116)),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34188, 34187])).
% 35.36/24.02 tff(34190,plain,
% 35.36/24.02 ((~v19(constB116)) | v18(constB116)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34189, 35, 34186])).
% 35.36/24.02 tff(34191,plain,
% 35.36/24.02 (~v19(constB116)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34190, 34182])).
% 35.36/24.02 tff(34192,plain,
% 35.36/24.02 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34193,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34194,plain,
% 35.36/24.02 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116)),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34193, 34192])).
% 35.36/24.02 tff(34195,plain,
% 35.36/24.02 (v13(constB116)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34194, 50, 34191])).
% 35.36/24.02 tff(34196,plain,
% 35.36/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115))),
% 35.36/24.02 inference(rewrite,[status(thm)],[])).
% 35.36/24.02 tff(34197,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115))),
% 35.36/24.02 inference(quant_inst,[status(thm)],[])).
% 35.36/24.02 tff(34198,plain,
% 35.36/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115)),
% 35.36/24.02 inference(modus_ponens,[status(thm)],[34197, 34196])).
% 35.36/24.02 tff(34199,plain,
% 35.36/24.02 ((~v13(constB116)) | v9(constB115)),
% 35.36/24.02 inference(unit_resolution,[status(thm)],[34198, 67, 17673])).
% 35.36/24.03 tff(34200,plain,
% 35.36/24.03 (v9(constB115)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34199, 34195])).
% 35.36/24.03 tff(34201,plain,
% 35.36/24.03 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v197(constB115))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB115) | (~v9(constB115)) | v197(constB115))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34202,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v197(constB115))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34203,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB115) | (~v9(constB115)) | v197(constB115)),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34202, 34201])).
% 35.36/24.03 tff(34204,plain,
% 35.36/24.03 ((~v9(constB115)) | v197(constB115)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34203, 85, 17551])).
% 35.36/24.03 tff(34205,plain,
% 35.36/24.03 (v197(constB115)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34204, 34200])).
% 35.36/24.03 tff(34206,plain,
% 35.36/24.03 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB115) | (~v197(constB115)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB115) | (~v197(constB115)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34207,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB115) | (~v197(constB115)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34208,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB115) | (~v197(constB115))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34207, 34206])).
% 35.36/24.03 tff(34209,plain,
% 35.36/24.03 (v196(constB115)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34208, 97, 34205])).
% 35.36/24.03 tff(34210,plain,
% 35.36/24.03 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB115)) | (~v194(constB115)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB115)) | (~v194(constB115)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34211,plain,
% 35.36/24.03 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB115)) | (~v194(constB115)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34212,plain,
% 35.36/24.03 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v196(constB115)) | (~v194(constB115))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34211, 34210])).
% 35.36/24.03 tff(34213,plain,
% 35.36/24.03 (~v194(constB115)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34212, 108, 34209])).
% 35.36/24.03 tff(34214,plain,
% 35.36/24.03 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB115) | v198(constB115) | (~v191(constB115)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB115) | v198(constB115) | (~v191(constB115)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34215,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB115) | v198(constB115) | (~v191(constB115)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34216,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB115) | v198(constB115) | (~v191(constB115))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34215, 34214])).
% 35.36/24.03 tff(34217,plain,
% 35.36/24.03 (v198(constB115) | (~v191(constB115))),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34216, 23722, 34213])).
% 35.36/24.03 tff(34218,plain,
% 35.36/24.03 (~v191(constB115)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34217, 34178])).
% 35.36/24.03 tff(34219,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB115, constB116)) | v191(constB115) | (~v193(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB115, constB116)) | v191(constB115) | (~v193(constB116)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34220,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB115, constB116)) | v191(constB115) | (~v193(constB116)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34221,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB115, constB116)) | v191(constB115) | (~v193(constB116))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34220, 34219])).
% 35.36/24.03 tff(34222,plain,
% 35.36/24.03 (v191(constB115) | (~v193(constB116))),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34221, 23737, 17673])).
% 35.36/24.03 tff(34223,plain,
% 35.36/24.03 (~v193(constB116)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34222, 34218])).
% 35.36/24.03 tff(34224,plain,
% 35.36/24.03 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB116) | (~v194(constB116)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB116) | (~v194(constB116)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34225,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB116) | (~v194(constB116)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34226,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB116) | (~v194(constB116))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34225, 34224])).
% 35.36/24.03 tff(34227,plain,
% 35.36/24.03 (~v194(constB116)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34226, 23749, 34223])).
% 35.36/24.03 tff(34228,plain,
% 35.36/24.03 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB116)) | (~v197(constB116)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB116)) | (~v197(constB116)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34229,plain,
% 35.36/24.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB116)) | (~v197(constB116)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34230,plain,
% 35.36/24.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB116)) | (~v197(constB116))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34229, 34228])).
% 35.36/24.03 tff(34231,plain,
% 35.36/24.03 (~v197(constB116)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34230, 23760, 17696])).
% 35.36/24.03 tff(34232,plain,
% 35.36/24.03 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB116) | (~v200(constB116)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB116) | (~v200(constB116)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34233,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB116) | (~v200(constB116)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34234,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB116) | (~v200(constB116))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34233, 34232])).
% 35.36/24.03 tff(34235,plain,
% 35.36/24.03 (~v200(constB116)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34234, 23771, 34231])).
% 35.36/24.03 tff(34236,plain,
% 35.36/24.03 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB116) | (~v198(constB116)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB116) | (~v198(constB116)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34237,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB116) | (~v198(constB116)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34238,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB116) | (~v198(constB116))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34237, 34236])).
% 35.36/24.03 tff(34239,plain,
% 35.36/24.03 (~v198(constB116)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34238, 23708, 34235])).
% 35.36/24.03 tff(34240,plain,
% 35.36/24.03 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB116) | v198(constB116) | (~v191(constB116)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB116) | v198(constB116) | (~v191(constB116)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34241,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB116) | v198(constB116) | (~v191(constB116)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34242,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB116) | v198(constB116) | (~v191(constB116))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34241, 34240])).
% 35.36/24.03 tff(34243,plain,
% 35.36/24.03 (v194(constB116) | (~v191(constB116))),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34242, 23722, 34239])).
% 35.36/24.03 tff(34244,plain,
% 35.36/24.03 (~v191(constB116)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34243, 34227])).
% 35.36/24.03 tff(34245,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB116, constB117)) | v191(constB116) | (~v193(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB116, constB117)) | v191(constB116) | (~v193(constB117)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34246,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB116, constB117)) | v191(constB116) | (~v193(constB117)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34247,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB116, constB117)) | v191(constB116) | (~v193(constB117))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34246, 34245])).
% 35.36/24.03 tff(34248,plain,
% 35.36/24.03 (v191(constB116) | (~v193(constB117))),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34247, 23737, 17741])).
% 35.36/24.03 tff(34249,plain,
% 35.36/24.03 (~v193(constB117)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34248, 34244])).
% 35.36/24.03 tff(34250,plain,
% 35.36/24.03 ($false),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34249, 34066])).
% 35.36/24.03 tff(34251,plain,(~(constB117 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/24.03 tff(34252,assumption,(constB21 = sK0_VarCurr), introduced(assumption)).
% 35.36/24.03 tff(34253,plain,
% 35.36/24.03 (v193(constB21) <=> v193(sK0_VarCurr)),
% 35.36/24.03 inference(monotonicity,[status(thm)],[34252])).
% 35.36/24.03 tff(34254,plain,
% 35.36/24.03 (v193(sK0_VarCurr) <=> v193(constB21)),
% 35.36/24.03 inference(symmetry,[status(thm)],[34253])).
% 35.36/24.03 tff(34255,plain,
% 35.36/24.03 (v193(constB21)),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[24025, 34254])).
% 35.36/24.03 tff(34256,plain,
% 35.36/24.03 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34257,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34258,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34257, 34256])).
% 35.36/24.03 tff(34259,plain,
% 35.36/24.03 (~v88(constB17, bitIndex2)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34258, 24075, 2668])).
% 35.36/24.03 tff(34260,plain,
% 35.36/24.03 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB17, bitIndex0) | (~v88(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB17, bitIndex0) | (~v88(constB17, bitIndex0)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34261,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB17, bitIndex0) | (~v88(constB17, bitIndex0)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34262,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB17, bitIndex0) | (~v88(constB17, bitIndex0))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34261, 34260])).
% 35.36/24.03 tff(34263,plain,
% 35.36/24.03 (~v88(constB17, bitIndex0)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34262, 23593, 2733])).
% 35.36/24.03 tff(34264,plain,
% 35.36/24.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB17, bitIndex1)) | v88(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB17, bitIndex1)) | v88(constB17, bitIndex1))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34265,plain,
% 35.36/24.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB17, bitIndex1)) | v88(constB17, bitIndex1))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34266,plain,
% 35.36/24.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB17, bitIndex1)) | v88(constB17, bitIndex1)),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34265, 34264])).
% 35.36/24.03 tff(34267,plain,
% 35.36/24.03 (v88(constB17, bitIndex1)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34266, 23528, 2699])).
% 35.36/24.03 tff(34268,plain,
% 35.36/24.03 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex2) | v88(constB17, bitIndex0) | (~v88(constB17, bitIndex1)) | v143(constB17))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB17, bitIndex2) | v88(constB17, bitIndex0) | (~v88(constB17, bitIndex1)) | v143(constB17))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34269,plain,
% 35.36/24.03 ((v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17)) <=> (v88(constB17, bitIndex2) | v88(constB17, bitIndex0) | (~v88(constB17, bitIndex1)) | v143(constB17))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34270,plain,
% 35.36/24.03 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex2) | v88(constB17, bitIndex0) | (~v88(constB17, bitIndex1)) | v143(constB17)))),
% 35.36/24.03 inference(monotonicity,[status(thm)],[34269])).
% 35.36/24.03 tff(34271,plain,
% 35.36/24.03 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB17, bitIndex2) | v88(constB17, bitIndex0) | (~v88(constB17, bitIndex1)) | v143(constB17))),
% 35.36/24.03 inference(transitivity,[status(thm)],[34270, 34268])).
% 35.36/24.03 tff(34272,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34273,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB17, bitIndex2) | v88(constB17, bitIndex0) | (~v88(constB17, bitIndex1)) | v143(constB17)),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34272, 34271])).
% 35.36/24.03 tff(34274,plain,
% 35.36/24.03 (v143(constB17)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34273, 24097, 34267, 34263, 34259])).
% 35.36/24.03 tff(34275,plain,
% 35.36/24.03 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB17) | (~v143(constB17)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB17) | (~v143(constB17)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34276,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB17) | (~v143(constB17)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34277,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB17) | (~v143(constB17))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34276, 34275])).
% 35.36/24.03 tff(34278,plain,
% 35.36/24.03 (v142(constB17)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34277, 24111, 34274])).
% 35.36/24.03 tff(34279,plain,
% 35.36/24.03 (((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB17) | (~v142(constB17)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB17) | (~v142(constB17)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34280,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | (v167(constB17) | (~v142(constB17)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34281,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v167(VarCurr) | (~v142(VarCurr)))) | v167(constB17) | (~v142(constB17))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34280, 34279])).
% 35.36/24.03 tff(34282,plain,
% 35.36/24.03 (v167(constB17)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34281, 23633, 34278])).
% 35.36/24.03 tff(34283,plain,
% 35.36/24.03 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB17)) | (~v170(constB17)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB17)) | (~v170(constB17)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34284,plain,
% 35.36/24.03 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB17)) | (~v170(constB17)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34285,plain,
% 35.36/24.03 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB17)) | (~v170(constB17))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34284, 34283])).
% 35.36/24.03 tff(34286,plain,
% 35.36/24.03 (~v170(constB17)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34285, 23647, 34282])).
% 35.36/24.03 tff(34287,plain,
% 35.36/24.03 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB17) | (~v167(constB17)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB17) | (~v167(constB17)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34288,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB17) | (~v167(constB17)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34289,plain,
% 35.36/24.03 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB17) | (~v167(constB17))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34288, 34287])).
% 35.36/24.03 tff(34290,plain,
% 35.36/24.03 (v166(constB17)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34289, 23658, 34282])).
% 35.36/24.03 tff(34291,plain,
% 35.36/24.03 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB17)) | (~v166(constB17)) | v170(constB17))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB17)) | (~v166(constB17)) | v170(constB17))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34292,plain,
% 35.36/24.03 (((~v166(constB17)) | v170(constB17) | (~v163(constB17))) <=> ((~v163(constB17)) | (~v166(constB17)) | v170(constB17))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34293,plain,
% 35.36/24.03 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB17)) | v170(constB17) | (~v163(constB17)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB17)) | (~v166(constB17)) | v170(constB17)))),
% 35.36/24.03 inference(monotonicity,[status(thm)],[34292])).
% 35.36/24.03 tff(34294,plain,
% 35.36/24.03 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB17)) | v170(constB17) | (~v163(constB17)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB17)) | (~v166(constB17)) | v170(constB17))),
% 35.36/24.03 inference(transitivity,[status(thm)],[34293, 34291])).
% 35.36/24.03 tff(34295,plain,
% 35.36/24.03 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB17)) | v170(constB17) | (~v163(constB17)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34296,plain,
% 35.36/24.03 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB17)) | (~v166(constB17)) | v170(constB17)),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34295, 34294])).
% 35.36/24.03 tff(34297,plain,
% 35.36/24.03 (~v163(constB17)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34296, 23672, 34290, 34286])).
% 35.36/24.03 tff(34298,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34299,plain,
% 35.36/24.03 (((~nextState(constB17, constB18)) | v163(constB17) | (~v186(constB18))) <=> (v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34300,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB17, constB18)) | v163(constB17) | (~v186(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18))))),
% 35.36/24.03 inference(monotonicity,[status(thm)],[34299])).
% 35.36/24.03 tff(34301,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB17, constB18)) | v163(constB17) | (~v186(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18)))),
% 35.36/24.03 inference(transitivity,[status(thm)],[34300, 34298])).
% 35.36/24.03 tff(34302,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB17, constB18)) | v163(constB17) | (~v186(constB18)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34303,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34302, 34301])).
% 35.36/24.03 tff(34304,plain,
% 35.36/24.03 (v163(constB17) | (~v186(constB18))),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34303, 23806, 2756])).
% 35.36/24.03 tff(34305,plain,
% 35.36/24.03 (~v186(constB18)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34304, 34297])).
% 35.36/24.03 tff(34306,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB17, constB18)) | v181(constB18) | v104(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB17, constB18)) | v181(constB18) | v104(constB18))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34307,plain,
% 35.36/24.03 (((~nextState(constB17, constB18)) | v104(constB18) | v181(constB18)) <=> ((~nextState(constB17, constB18)) | v181(constB18) | v104(constB18))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34308,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v181(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB17, constB18)) | v181(constB18) | v104(constB18)))),
% 35.36/24.03 inference(monotonicity,[status(thm)],[34307])).
% 35.36/24.03 tff(34309,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v181(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB17, constB18)) | v181(constB18) | v104(constB18))),
% 35.36/24.03 inference(transitivity,[status(thm)],[34308, 34306])).
% 35.36/24.03 tff(34310,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v181(constB18))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34311,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB17, constB18)) | v181(constB18) | v104(constB18)),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34310, 34309])).
% 35.36/24.03 tff(34312,plain,
% 35.36/24.03 (v181(constB18) | v104(constB18)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34311, 23828, 2756])).
% 35.36/24.03 tff(34313,plain,
% 35.36/24.03 (v181(constB18)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34312, 2766])).
% 35.36/24.03 tff(34314,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34315,plain,
% 35.36/24.03 (((~nextState(constB17, constB18)) | (~v1(constB18)) | v180(constB18) | (~v181(constB18))) <=> ((~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34316,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v180(constB18) | (~v181(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18))))),
% 35.36/24.03 inference(monotonicity,[status(thm)],[34315])).
% 35.36/24.03 tff(34317,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v180(constB18) | (~v181(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18)))),
% 35.36/24.03 inference(transitivity,[status(thm)],[34316, 34314])).
% 35.36/24.03 tff(34318,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v180(constB18) | (~v181(constB18)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34319,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34318, 34317])).
% 35.36/24.03 tff(34320,plain,
% 35.36/24.03 (v180(constB18) | (~v181(constB18))),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34319, 23846, 2756, 2777])).
% 35.36/24.03 tff(34321,plain,
% 35.36/24.03 (v180(constB18)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34320, 34313])).
% 35.36/24.03 tff(34322,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB17, constB18)) | v179(constB18) | (~v180(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB17, constB18)) | v179(constB18) | (~v180(constB18)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34323,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB17, constB18)) | v179(constB18) | (~v180(constB18)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34324,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB17, constB18)) | v179(constB18) | (~v180(constB18))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34323, 34322])).
% 35.36/24.03 tff(34325,plain,
% 35.36/24.03 (v179(constB18) | (~v180(constB18))),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34324, 23864, 2756])).
% 35.36/24.03 tff(34326,plain,
% 35.36/24.03 (v179(constB18)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34325, 34321])).
% 35.36/24.03 tff(34327,plain,
% 35.36/24.03 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB18)) | v186(constB18) | (~v179(constB18)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB18)) | v186(constB18) | (~v179(constB18)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34328,plain,
% 35.36/24.03 (((~v179(constB18)) | (~v159(constB18)) | v186(constB18)) <=> ((~v159(constB18)) | v186(constB18) | (~v179(constB18)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34329,plain,
% 35.36/24.03 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB18)) | (~v159(constB18)) | v186(constB18))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB18)) | v186(constB18) | (~v179(constB18))))),
% 35.36/24.03 inference(monotonicity,[status(thm)],[34328])).
% 35.36/24.03 tff(34330,plain,
% 35.36/24.03 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB18)) | (~v159(constB18)) | v186(constB18))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB18)) | v186(constB18) | (~v179(constB18)))),
% 35.36/24.03 inference(transitivity,[status(thm)],[34329, 34327])).
% 35.36/24.03 tff(34331,plain,
% 35.36/24.03 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB18)) | (~v159(constB18)) | v186(constB18))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34332,plain,
% 35.36/24.03 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB18)) | v186(constB18) | (~v179(constB18))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34331, 34330])).
% 35.36/24.03 tff(34333,plain,
% 35.36/24.03 ((~v159(constB18)) | v186(constB18)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34332, 23879, 34326])).
% 35.36/24.03 tff(34334,plain,
% 35.36/24.03 (~v159(constB18)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34333, 34305])).
% 35.36/24.03 tff(34335,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34336,plain,
% 35.36/24.03 (((~nextState(constB18, constB19)) | v1(constB19) | (~v180(constB19))) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34337,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB18, constB19)) | v1(constB19) | (~v180(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19))))),
% 35.36/24.03 inference(monotonicity,[status(thm)],[34336])).
% 35.36/24.03 tff(34338,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB18, constB19)) | v1(constB19) | (~v180(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19)))),
% 35.36/24.03 inference(transitivity,[status(thm)],[34337, 34335])).
% 35.36/24.03 tff(34339,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB18, constB19)) | v1(constB19) | (~v180(constB19)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34340,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34339, 34338])).
% 35.36/24.03 tff(34341,plain,
% 35.36/24.03 (~v180(constB19)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34340, 23900, 3165, 3162])).
% 35.36/24.03 tff(34342,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34343,plain,
% 35.36/24.03 (((~nextState(constB18, constB19)) | (~v179(constB19)) | v180(constB19)) <=> ((~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34344,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB18, constB19)) | (~v179(constB19)) | v180(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19))))),
% 35.36/24.03 inference(monotonicity,[status(thm)],[34343])).
% 35.36/24.03 tff(34345,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB18, constB19)) | (~v179(constB19)) | v180(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19)))),
% 35.36/24.03 inference(transitivity,[status(thm)],[34344, 34342])).
% 35.36/24.03 tff(34346,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB18, constB19)) | (~v179(constB19)) | v180(constB19))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34347,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34346, 34345])).
% 35.36/24.03 tff(34348,plain,
% 35.36/24.03 (v180(constB19) | (~v179(constB19))),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34347, 23917, 3165])).
% 35.36/24.03 tff(34349,plain,
% 35.36/24.03 (~v179(constB19)),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34348, 34341])).
% 35.36/24.03 tff(34350,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34351,plain,
% 35.36/24.03 (((~nextState(constB18, constB19)) | v179(constB19) | v159(constB18) | (~v159(constB19))) <=> (v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19)))),
% 35.36/24.03 inference(rewrite,[status(thm)],[])).
% 35.36/24.03 tff(34352,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB18, constB19)) | v179(constB19) | v159(constB18) | (~v159(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19))))),
% 35.36/24.03 inference(monotonicity,[status(thm)],[34351])).
% 35.36/24.03 tff(34353,plain,
% 35.36/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB18, constB19)) | v179(constB19) | v159(constB18) | (~v159(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19)))),
% 35.36/24.03 inference(transitivity,[status(thm)],[34352, 34350])).
% 35.36/24.03 tff(34354,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB18, constB19)) | v179(constB19) | v159(constB18) | (~v159(constB19)))),
% 35.36/24.03 inference(quant_inst,[status(thm)],[])).
% 35.36/24.03 tff(34355,plain,
% 35.36/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19))),
% 35.36/24.03 inference(modus_ponens,[status(thm)],[34354, 34353])).
% 35.36/24.03 tff(34356,plain,
% 35.36/24.03 (v159(constB18) | v179(constB19) | (~v159(constB19))),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34355, 23935, 3165])).
% 35.36/24.03 tff(34357,plain,
% 35.36/24.03 (v159(constB18) | (~v159(constB19))),
% 35.36/24.03 inference(unit_resolution,[status(thm)],[34356, 34349])).
% 35.36/24.04 tff(34358,plain,
% 35.36/24.04 (~v159(constB19)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34357, 34334])).
% 35.36/24.04 tff(34359,plain,
% 35.36/24.04 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB19) | (~v201(constB19)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB19) | (~v201(constB19)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34360,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB19) | (~v201(constB19)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34361,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB19) | (~v201(constB19))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34360, 34359])).
% 35.36/24.04 tff(34362,plain,
% 35.36/24.04 (~v201(constB19)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34361, 23951, 34358])).
% 35.36/24.04 tff(34363,plain,
% 35.36/24.04 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB19) | (~v200(constB19)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB19) | (~v200(constB19)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34364,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB19) | (~v200(constB19)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34365,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB19) | (~v200(constB19))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34364, 34363])).
% 35.36/24.04 tff(34366,plain,
% 35.36/24.04 (~v200(constB19)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34365, 23697, 34362])).
% 35.36/24.04 tff(34367,plain,
% 35.36/24.04 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB19) | (~v198(constB19)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB19) | (~v198(constB19)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34368,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB19) | (~v198(constB19)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34369,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB19) | (~v198(constB19))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34368, 34367])).
% 35.36/24.04 tff(34370,plain,
% 35.36/24.04 (~v198(constB19)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34369, 23708, 34366])).
% 35.36/24.04 tff(34371,assumption,(v18(constB20)), introduced(assumption)).
% 35.36/24.04 tff(34372,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB20))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34373,plain,
% 35.36/24.04 ($false),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34372, 8, 34371])).
% 35.36/24.04 tff(34374,plain,(~v18(constB20)), inference(lemma,lemma(discharge,[]))).
% 35.36/24.04 tff(34375,plain,
% 35.36/24.04 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB20) | (~v1(constB20)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB20) | (~v1(constB20)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34376,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB20) | (~v1(constB20)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34377,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB20) | (~v1(constB20))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34376, 34375])).
% 35.36/24.04 tff(34378,plain,
% 35.36/24.04 (v22(constB20)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34377, 21, 3310])).
% 35.36/24.04 tff(34379,plain,
% 35.36/24.04 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB20)) | (~v22(constB20)) | v18(constB20))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB20)) | (~v22(constB20)) | v18(constB20))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34380,plain,
% 35.36/24.04 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB20)) | (~v22(constB20)) | v18(constB20))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34381,plain,
% 35.36/24.04 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB20)) | (~v22(constB20)) | v18(constB20)),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34380, 34379])).
% 35.36/24.04 tff(34382,plain,
% 35.36/24.04 ((~v19(constB20)) | v18(constB20)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34381, 35, 34378])).
% 35.36/24.04 tff(34383,plain,
% 35.36/24.04 (~v19(constB20)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34382, 34374])).
% 35.36/24.04 tff(34384,plain,
% 35.36/24.04 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB20) | v19(constB20))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB20) | v19(constB20))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34385,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB20) | v19(constB20))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34386,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB20) | v19(constB20)),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34385, 34384])).
% 35.36/24.04 tff(34387,plain,
% 35.36/24.04 (v13(constB20)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34386, 50, 34383])).
% 35.36/24.04 tff(34388,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB19, constB20)) | (~v13(constB20)) | v9(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB19, constB20)) | (~v13(constB20)) | v9(constB19))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34389,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB19, constB20)) | (~v13(constB20)) | v9(constB19))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34390,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB19, constB20)) | (~v13(constB20)) | v9(constB19)),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34389, 34388])).
% 35.36/24.04 tff(34391,plain,
% 35.36/24.04 ((~v13(constB20)) | v9(constB19)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34390, 67, 3287])).
% 35.36/24.04 tff(34392,plain,
% 35.36/24.04 (v9(constB19)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34391, 34387])).
% 35.36/24.04 tff(34393,plain,
% 35.36/24.04 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v197(constB19))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB19) | (~v9(constB19)) | v197(constB19))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34394,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v197(constB19))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34395,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB19) | (~v9(constB19)) | v197(constB19)),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34394, 34393])).
% 35.36/24.04 tff(34396,plain,
% 35.36/24.04 ((~v9(constB19)) | v197(constB19)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34395, 85, 3162])).
% 35.36/24.04 tff(34397,plain,
% 35.36/24.04 (v197(constB19)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34396, 34392])).
% 35.36/24.04 tff(34398,plain,
% 35.36/24.04 (((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB19) | (~v197(constB19)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB19) | (~v197(constB19)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34399,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | (v196(constB19) | (~v197(constB19)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34400,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v196(VarCurr) | (~v197(VarCurr)))) | v196(constB19) | (~v197(constB19))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34399, 34398])).
% 35.36/24.04 tff(34401,plain,
% 35.36/24.04 (v196(constB19)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34400, 97, 34397])).
% 35.36/24.04 tff(34402,plain,
% 35.36/24.04 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB19)) | (~v196(constB19)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB19)) | (~v196(constB19)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34403,plain,
% 35.36/24.04 (((~v196(constB19)) | (~v194(constB19))) <=> ((~v194(constB19)) | (~v196(constB19)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34404,plain,
% 35.36/24.04 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB19)) | (~v194(constB19)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v194(constB19)) | (~v196(constB19))))),
% 35.36/24.04 inference(monotonicity,[status(thm)],[34403])).
% 35.36/24.04 tff(34405,plain,
% 35.36/24.04 (((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB19)) | (~v194(constB19)))) <=> ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB19)) | (~v196(constB19)))),
% 35.36/24.04 inference(transitivity,[status(thm)],[34404, 34402])).
% 35.36/24.04 tff(34406,plain,
% 35.36/24.04 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | ((~v196(constB19)) | (~v194(constB19)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34407,plain,
% 35.36/24.04 ((~![VarCurr: $i] : ((~v196(VarCurr)) | (~v194(VarCurr)))) | (~v194(constB19)) | (~v196(constB19))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34406, 34405])).
% 35.36/24.04 tff(34408,plain,
% 35.36/24.04 (~v194(constB19)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34407, 108, 34401])).
% 35.36/24.04 tff(34409,plain,
% 35.36/24.04 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB19) | v198(constB19) | (~v191(constB19)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB19) | v198(constB19) | (~v191(constB19)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34410,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB19) | v198(constB19) | (~v191(constB19)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34411,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB19) | v198(constB19) | (~v191(constB19))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34410, 34409])).
% 35.36/24.04 tff(34412,plain,
% 35.36/24.04 (v198(constB19) | (~v191(constB19))),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34411, 23722, 34408])).
% 35.36/24.04 tff(34413,plain,
% 35.36/24.04 (~v191(constB19)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34412, 34370])).
% 35.36/24.04 tff(34414,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB19, constB20)) | v191(constB19) | (~v193(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB19, constB20)) | v191(constB19) | (~v193(constB20)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34415,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB19, constB20)) | v191(constB19) | (~v193(constB20)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34416,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB19, constB20)) | v191(constB19) | (~v193(constB20))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34415, 34414])).
% 35.36/24.04 tff(34417,plain,
% 35.36/24.04 (v191(constB19) | (~v193(constB20))),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34416, 23737, 3287])).
% 35.36/24.04 tff(34418,plain,
% 35.36/24.04 (~v193(constB20)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34417, 34413])).
% 35.36/24.04 tff(34419,plain,
% 35.36/24.04 (((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB20) | (~v194(constB20)))) <=> ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB20) | (~v194(constB20)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34420,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB20) | (~v194(constB20)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34421,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB20) | (~v194(constB20))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34420, 34419])).
% 35.36/24.04 tff(34422,plain,
% 35.36/24.04 (~v194(constB20)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34421, 23749, 34418])).
% 35.36/24.04 tff(34423,plain,
% 35.36/24.04 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB20)) | (~v197(constB20)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB20)) | (~v197(constB20)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34424,plain,
% 35.36/24.04 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB20)) | (~v197(constB20)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34425,plain,
% 35.36/24.04 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB20)) | (~v197(constB20))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34424, 34423])).
% 35.36/24.04 tff(34426,plain,
% 35.36/24.04 (~v197(constB20)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34425, 23760, 3310])).
% 35.36/24.04 tff(34427,plain,
% 35.36/24.04 (((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB20) | (~v200(constB20)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB20) | (~v200(constB20)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34428,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB20) | (~v200(constB20)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34429,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB20) | (~v200(constB20))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34428, 34427])).
% 35.36/24.04 tff(34430,plain,
% 35.36/24.04 (~v200(constB20)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34429, 23771, 34426])).
% 35.36/24.04 tff(34431,plain,
% 35.36/24.04 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB20) | (~v198(constB20)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB20) | (~v198(constB20)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34432,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB20) | (~v198(constB20)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34433,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB20) | (~v198(constB20))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34432, 34431])).
% 35.36/24.04 tff(34434,plain,
% 35.36/24.04 (~v198(constB20)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34433, 23708, 34430])).
% 35.36/24.04 tff(34435,plain,
% 35.36/24.04 (((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB20) | v198(constB20) | (~v191(constB20)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB20) | v198(constB20) | (~v191(constB20)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34436,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB20) | v198(constB20) | (~v191(constB20)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34437,plain,
% 35.36/24.04 ((~![VarCurr: $i] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB20) | v198(constB20) | (~v191(constB20))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34436, 34435])).
% 35.36/24.04 tff(34438,plain,
% 35.36/24.04 (v194(constB20) | (~v191(constB20))),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34437, 23722, 34434])).
% 35.36/24.04 tff(34439,plain,
% 35.36/24.04 (~v191(constB20)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34438, 34422])).
% 35.36/24.04 tff(34440,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB20, constB21)) | v191(constB20) | (~v193(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB20, constB21)) | v191(constB20) | (~v193(constB21)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34441,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB20, constB21)) | v191(constB20) | (~v193(constB21)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34442,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB20, constB21)) | v191(constB20) | (~v193(constB21))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34441, 34440])).
% 35.36/24.04 tff(34443,plain,
% 35.36/24.04 (v191(constB20) | (~v193(constB21))),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34442, 23737, 3536])).
% 35.36/24.04 tff(34444,plain,
% 35.36/24.04 (~v193(constB21)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34443, 34439])).
% 35.36/24.04 tff(34445,plain,
% 35.36/24.04 ($false),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34444, 34255])).
% 35.36/24.04 tff(34446,plain,(~(constB21 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 35.36/24.04 tff(34447,assumption,(constB129 = sK0_VarCurr), introduced(assumption)).
% 35.36/24.04 tff(34448,plain,
% 35.36/24.04 (v193(constB129) <=> v193(sK0_VarCurr)),
% 35.36/24.04 inference(monotonicity,[status(thm)],[34447])).
% 35.36/24.04 tff(34449,plain,
% 35.36/24.04 (v193(sK0_VarCurr) <=> v193(constB129)),
% 35.36/24.04 inference(symmetry,[status(thm)],[34448])).
% 35.36/24.04 tff(34450,plain,
% 35.36/24.04 (v193(constB129)),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[24025, 34449])).
% 35.36/24.04 tff(34451,plain,
% 35.36/24.04 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB125)) | (~v170(constB125)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB125)) | (~v170(constB125)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34452,plain,
% 35.36/24.04 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB125)) | (~v170(constB125)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34453,plain,
% 35.36/24.04 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB125)) | (~v170(constB125))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34452, 34451])).
% 35.36/24.04 tff(34454,plain,
% 35.36/24.04 (~v170(constB125)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34453, 23647, 24130])).
% 35.36/24.04 tff(34455,plain,
% 35.36/24.04 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB125)) | (~v166(constB125)) | v170(constB125))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB125)) | (~v166(constB125)) | v170(constB125))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34456,plain,
% 35.36/24.04 (((~v166(constB125)) | v170(constB125) | (~v163(constB125))) <=> ((~v163(constB125)) | (~v166(constB125)) | v170(constB125))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34457,plain,
% 35.36/24.04 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB125)) | v170(constB125) | (~v163(constB125)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB125)) | (~v166(constB125)) | v170(constB125)))),
% 35.36/24.04 inference(monotonicity,[status(thm)],[34456])).
% 35.36/24.04 tff(34458,plain,
% 35.36/24.04 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB125)) | v170(constB125) | (~v163(constB125)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB125)) | (~v166(constB125)) | v170(constB125))),
% 35.36/24.04 inference(transitivity,[status(thm)],[34457, 34455])).
% 35.36/24.04 tff(34459,plain,
% 35.36/24.04 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB125)) | v170(constB125) | (~v163(constB125)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34460,plain,
% 35.36/24.04 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB125)) | (~v166(constB125)) | v170(constB125)),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34459, 34458])).
% 35.36/24.04 tff(34461,plain,
% 35.36/24.04 (~v163(constB125)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34460, 23672, 24134, 34454])).
% 35.36/24.04 tff(34462,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34463,plain,
% 35.36/24.04 (((~nextState(constB125, constB126)) | v163(constB125) | (~v186(constB126))) <=> (v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34464,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB125, constB126)) | v163(constB125) | (~v186(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126))))),
% 35.36/24.04 inference(monotonicity,[status(thm)],[34463])).
% 35.36/24.04 tff(34465,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB125, constB126)) | v163(constB125) | (~v186(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126)))),
% 35.36/24.04 inference(transitivity,[status(thm)],[34464, 34462])).
% 35.36/24.04 tff(34466,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB125, constB126)) | v163(constB125) | (~v186(constB126)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34467,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34466, 34465])).
% 35.36/24.04 tff(34468,plain,
% 35.36/24.04 (v163(constB125) | (~v186(constB126))),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34467, 23806, 18651])).
% 35.36/24.04 tff(34469,plain,
% 35.36/24.04 (~v186(constB126)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34468, 34461])).
% 35.36/24.04 tff(34470,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB125, constB126)) | v181(constB126) | v104(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB125, constB126)) | v181(constB126) | v104(constB126))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34471,plain,
% 35.36/24.04 (((~nextState(constB125, constB126)) | v104(constB126) | v181(constB126)) <=> ((~nextState(constB125, constB126)) | v181(constB126) | v104(constB126))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34472,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v181(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB125, constB126)) | v181(constB126) | v104(constB126)))),
% 35.36/24.04 inference(monotonicity,[status(thm)],[34471])).
% 35.36/24.04 tff(34473,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v181(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB125, constB126)) | v181(constB126) | v104(constB126))),
% 35.36/24.04 inference(transitivity,[status(thm)],[34472, 34470])).
% 35.36/24.04 tff(34474,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v181(constB126))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34475,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB125, constB126)) | v181(constB126) | v104(constB126)),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34474, 34473])).
% 35.36/24.04 tff(34476,plain,
% 35.36/24.04 (v181(constB126) | v104(constB126)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34475, 23828, 18651])).
% 35.36/24.04 tff(34477,plain,
% 35.36/24.04 (v181(constB126)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34476, 18663])).
% 35.36/24.04 tff(34478,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34479,plain,
% 35.36/24.04 (((~nextState(constB125, constB126)) | (~v1(constB126)) | v180(constB126) | (~v181(constB126))) <=> ((~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34480,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v180(constB126) | (~v181(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126))))),
% 35.36/24.04 inference(monotonicity,[status(thm)],[34479])).
% 35.36/24.04 tff(34481,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v180(constB126) | (~v181(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126)))),
% 35.36/24.04 inference(transitivity,[status(thm)],[34480, 34478])).
% 35.36/24.04 tff(34482,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v180(constB126) | (~v181(constB126)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34483,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34482, 34481])).
% 35.36/24.04 tff(34484,plain,
% 35.36/24.04 (v180(constB126) | (~v181(constB126))),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34483, 23846, 18651, 18674])).
% 35.36/24.04 tff(34485,plain,
% 35.36/24.04 (v180(constB126)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34484, 34477])).
% 35.36/24.04 tff(34486,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB125, constB126)) | v179(constB126) | (~v180(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB125, constB126)) | v179(constB126) | (~v180(constB126)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34487,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB125, constB126)) | v179(constB126) | (~v180(constB126)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34488,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB125, constB126)) | v179(constB126) | (~v180(constB126))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34487, 34486])).
% 35.36/24.04 tff(34489,plain,
% 35.36/24.04 (v179(constB126) | (~v180(constB126))),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34488, 23864, 18651])).
% 35.36/24.04 tff(34490,plain,
% 35.36/24.04 (v179(constB126)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34489, 34485])).
% 35.36/24.04 tff(34491,plain,
% 35.36/24.04 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB126)) | v186(constB126) | (~v179(constB126)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB126)) | v186(constB126) | (~v179(constB126)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34492,plain,
% 35.36/24.04 (((~v179(constB126)) | (~v159(constB126)) | v186(constB126)) <=> ((~v159(constB126)) | v186(constB126) | (~v179(constB126)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34493,plain,
% 35.36/24.04 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB126)) | (~v159(constB126)) | v186(constB126))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB126)) | v186(constB126) | (~v179(constB126))))),
% 35.36/24.04 inference(monotonicity,[status(thm)],[34492])).
% 35.36/24.04 tff(34494,plain,
% 35.36/24.04 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB126)) | (~v159(constB126)) | v186(constB126))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB126)) | v186(constB126) | (~v179(constB126)))),
% 35.36/24.04 inference(transitivity,[status(thm)],[34493, 34491])).
% 35.36/24.04 tff(34495,plain,
% 35.36/24.04 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB126)) | (~v159(constB126)) | v186(constB126))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34496,plain,
% 35.36/24.04 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB126)) | v186(constB126) | (~v179(constB126))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34495, 34494])).
% 35.36/24.04 tff(34497,plain,
% 35.36/24.04 ((~v159(constB126)) | v186(constB126)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34496, 23879, 34490])).
% 35.36/24.04 tff(34498,plain,
% 35.36/24.04 (~v159(constB126)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34497, 34469])).
% 35.36/24.04 tff(34499,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v180(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v180(constB127)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34500,plain,
% 35.36/24.04 (((~nextState(constB126, constB127)) | v1(constB127) | (~v180(constB127))) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v180(constB127)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34501,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB126, constB127)) | v1(constB127) | (~v180(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v180(constB127))))),
% 35.36/24.04 inference(monotonicity,[status(thm)],[34500])).
% 35.36/24.04 tff(34502,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB126, constB127)) | v1(constB127) | (~v180(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v180(constB127)))),
% 35.36/24.04 inference(transitivity,[status(thm)],[34501, 34499])).
% 35.36/24.04 tff(34503,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB126, constB127)) | v1(constB127) | (~v180(constB127)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34504,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v180(constB127))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34503, 34502])).
% 35.36/24.04 tff(34505,plain,
% 35.36/24.04 (~v180(constB127)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34504, 23900, 18722, 18719])).
% 35.36/24.04 tff(34506,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB126, constB127)) | v180(constB127) | (~v179(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB126, constB127)) | v180(constB127) | (~v179(constB127)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34507,plain,
% 35.36/24.04 (((~nextState(constB126, constB127)) | (~v179(constB127)) | v180(constB127)) <=> ((~nextState(constB126, constB127)) | v180(constB127) | (~v179(constB127)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34508,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB126, constB127)) | (~v179(constB127)) | v180(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB126, constB127)) | v180(constB127) | (~v179(constB127))))),
% 35.36/24.04 inference(monotonicity,[status(thm)],[34507])).
% 35.36/24.04 tff(34509,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB126, constB127)) | (~v179(constB127)) | v180(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB126, constB127)) | v180(constB127) | (~v179(constB127)))),
% 35.36/24.04 inference(transitivity,[status(thm)],[34508, 34506])).
% 35.36/24.04 tff(34510,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB126, constB127)) | (~v179(constB127)) | v180(constB127))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34511,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB126, constB127)) | v180(constB127) | (~v179(constB127))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34510, 34509])).
% 35.36/24.04 tff(34512,plain,
% 35.36/24.04 (v180(constB127) | (~v179(constB127))),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34511, 23917, 18722])).
% 35.36/24.04 tff(34513,plain,
% 35.36/24.04 (~v179(constB127)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34512, 34505])).
% 35.36/24.04 tff(34514,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB126) | (~nextState(constB126, constB127)) | v179(constB127) | (~v159(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB126) | (~nextState(constB126, constB127)) | v179(constB127) | (~v159(constB127)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34515,plain,
% 35.36/24.04 (((~nextState(constB126, constB127)) | v179(constB127) | v159(constB126) | (~v159(constB127))) <=> (v159(constB126) | (~nextState(constB126, constB127)) | v179(constB127) | (~v159(constB127)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.36/24.04 tff(34516,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB126, constB127)) | v179(constB127) | v159(constB126) | (~v159(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB126) | (~nextState(constB126, constB127)) | v179(constB127) | (~v159(constB127))))),
% 35.36/24.04 inference(monotonicity,[status(thm)],[34515])).
% 35.36/24.04 tff(34517,plain,
% 35.36/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB126, constB127)) | v179(constB127) | v159(constB126) | (~v159(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB126) | (~nextState(constB126, constB127)) | v179(constB127) | (~v159(constB127)))),
% 35.36/24.04 inference(transitivity,[status(thm)],[34516, 34514])).
% 35.36/24.04 tff(34518,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB126, constB127)) | v179(constB127) | v159(constB126) | (~v159(constB127)))),
% 35.36/24.04 inference(quant_inst,[status(thm)],[])).
% 35.36/24.04 tff(34519,plain,
% 35.36/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB126) | (~nextState(constB126, constB127)) | v179(constB127) | (~v159(constB127))),
% 35.36/24.04 inference(modus_ponens,[status(thm)],[34518, 34517])).
% 35.36/24.04 tff(34520,plain,
% 35.36/24.04 (v159(constB126) | v179(constB127) | (~v159(constB127))),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34519, 23935, 18722])).
% 35.36/24.04 tff(34521,plain,
% 35.36/24.04 (v159(constB126) | (~v159(constB127))),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34520, 34513])).
% 35.36/24.04 tff(34522,plain,
% 35.36/24.04 (~v159(constB127)),
% 35.36/24.04 inference(unit_resolution,[status(thm)],[34521, 34498])).
% 35.36/24.04 tff(34523,plain,
% 35.36/24.04 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB127) | (~v201(constB127)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB127) | (~v201(constB127)))),
% 35.36/24.04 inference(rewrite,[status(thm)],[])).
% 35.45/24.04 tff(34524,plain,
% 35.45/24.04 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB127) | (~v201(constB127)))),
% 35.45/24.04 inference(quant_inst,[status(thm)],[])).
% 35.45/24.04 tff(34525,plain,
% 35.45/24.04 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB127) | (~v201(constB127))),
% 35.45/24.04 inference(modus_ponens,[status(thm)],[34524, 34523])).
% 35.45/24.04 tff(34526,plain,
% 35.45/24.04 (~v201(constB127)),
% 35.45/24.04 inference(unit_resolution,[status(thm)],[34525, 23951, 34522])).
% 35.45/24.04 tff(34527,plain,
% 35.45/24.04 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB127) | (~v200(constB127)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB127) | (~v200(constB127)))),
% 35.45/24.04 inference(rewrite,[status(thm)],[])).
% 35.45/24.04 tff(34528,plain,
% 35.45/24.04 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB127) | (~v200(constB127)))),
% 35.45/24.04 inference(quant_inst,[status(thm)],[])).
% 35.45/24.04 tff(34529,plain,
% 35.45/24.04 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB127) | (~v200(constB127))),
% 35.45/24.04 inference(modus_ponens,[status(thm)],[34528, 34527])).
% 35.45/24.04 tff(34530,plain,
% 35.45/24.04 (~v200(constB127)),
% 35.45/24.04 inference(unit_resolution,[status(thm)],[34529, 23697, 34526])).
% 35.45/24.04 tff(34531,plain,
% 35.45/24.04 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB127) | (~v198(constB127)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB127) | (~v198(constB127)))),
% 35.45/24.04 inference(rewrite,[status(thm)],[])).
% 35.45/24.04 tff(34532,plain,
% 35.45/24.04 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB127) | (~v198(constB127)))),
% 35.45/24.04 inference(quant_inst,[status(thm)],[])).
% 35.45/24.04 tff(34533,plain,
% 35.45/24.04 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB127) | (~v198(constB127))),
% 35.45/24.04 inference(modus_ponens,[status(thm)],[34532, 34531])).
% 35.45/24.04 tff(34534,plain,
% 35.45/24.04 (~v198(constB127)),
% 35.45/24.04 inference(unit_resolution,[status(thm)],[34533, 23708, 34530])).
% 35.45/24.04 tff(34535,plain,
% 35.45/24.04 (v112(constB121)),
% 35.45/24.04 inference(unit_resolution,[status(thm)],[18209, 330])).
% 35.45/24.04 tff(34536,plain,
% 35.45/24.04 (v108(constB121)),
% 35.45/24.04 inference(unit_resolution,[status(thm)],[18213, 568, 34535])).
% 35.45/24.04 tff(34537,plain,
% 35.45/24.04 (v110(constB122)),
% 35.45/24.04 inference(unit_resolution,[status(thm)],[18224, 34536])).
% 35.45/24.04 tff(34538,plain,
% 35.45/24.04 (v100(constB122)),
% 35.45/24.04 inference(unit_resolution,[status(thm)],[18256, 34537])).
% 35.45/24.04 tff(34539,plain,
% 35.45/24.04 (~v127(constB121, bitIndex2)),
% 35.45/24.04 inference(unit_resolution,[status(thm)],[18295, 330])).
% 35.45/24.04 tff(34540,plain,
% 35.45/24.04 (~v129(constB122, bitIndex2)),
% 35.45/24.04 inference(unit_resolution,[status(thm)],[18300, 34539])).
% 35.45/24.04 tff(34541,plain,
% 35.45/24.04 ((~v90(constB122, bitIndex2)) | (~v100(constB122))),
% 35.45/24.04 inference(unit_resolution,[status(thm)],[18307, 722, 34540])).
% 35.45/24.04 tff(34542,plain,
% 35.45/24.04 (~v90(constB122, bitIndex2)),
% 35.45/24.04 inference(unit_resolution,[status(thm)],[34541, 34538])).
% 35.45/24.04 tff(34543,plain,
% 35.45/24.04 (~v90(constB123, bitIndex2)),
% 35.45/24.04 inference(unit_resolution,[status(thm)],[18335, 34542])).
% 35.45/24.04 tff(34544,plain,
% 35.45/24.04 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB123, bitIndex2) | (~v88(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB123, bitIndex2) | (~v88(constB123, bitIndex2)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34545,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB123, bitIndex2) | (~v88(constB123, bitIndex2)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34546,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB123, bitIndex2) | (~v88(constB123, bitIndex2))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34545, 34544])).
% 35.45/24.05 tff(34547,plain,
% 35.45/24.05 (~v88(constB123, bitIndex2)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34546, 24075, 34543])).
% 35.45/24.05 tff(34548,plain,
% 35.45/24.05 (~v127(constB121, bitIndex1)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[18384, 330])).
% 35.45/24.05 tff(34549,plain,
% 35.45/24.05 (~v129(constB122, bitIndex1)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[18389, 34548])).
% 35.45/24.05 tff(34550,plain,
% 35.45/24.05 ((~v90(constB122, bitIndex1)) | (~v100(constB122))),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[18396, 814, 34549])).
% 35.45/24.05 tff(34551,plain,
% 35.45/24.05 (~v90(constB122, bitIndex1)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34550, 34538])).
% 35.45/24.05 tff(34552,plain,
% 35.45/24.05 (~v90(constB123, bitIndex1)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[18406, 34551])).
% 35.45/24.05 tff(34553,plain,
% 35.45/24.05 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB123, bitIndex1) | (~v88(constB123, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB123, bitIndex1) | (~v88(constB123, bitIndex1)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34554,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB123, bitIndex1) | (~v88(constB123, bitIndex1)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34555,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB123, bitIndex1) | (~v88(constB123, bitIndex1))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34554, 34553])).
% 35.45/24.05 tff(34556,plain,
% 35.45/24.05 (~v88(constB123, bitIndex1)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34555, 31841, 34552])).
% 35.45/24.05 tff(34557,plain,
% 35.45/24.05 (v127(constB121, bitIndex0)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[18347, 330])).
% 35.45/24.05 tff(34558,plain,
% 35.45/24.05 (v129(constB122, bitIndex0)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[18352, 34557])).
% 35.45/24.05 tff(34559,plain,
% 35.45/24.05 (v90(constB122, bitIndex0) | (~v100(constB122))),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[18359, 885, 34558])).
% 35.45/24.05 tff(34560,plain,
% 35.45/24.05 (v90(constB122, bitIndex0)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34559, 34538])).
% 35.45/24.05 tff(34561,plain,
% 35.45/24.05 (v90(constB123, bitIndex0)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[18369, 34560])).
% 35.45/24.05 tff(34562,plain,
% 35.45/24.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB123, bitIndex0)) | v88(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB123, bitIndex0)) | v88(constB123, bitIndex0))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34563,plain,
% 35.45/24.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB123, bitIndex0)) | v88(constB123, bitIndex0))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34564,plain,
% 35.45/24.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB123, bitIndex0)) | v88(constB123, bitIndex0)),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34563, 34562])).
% 35.45/24.05 tff(34565,plain,
% 35.45/24.05 (v88(constB123, bitIndex0)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34564, 30373, 34561])).
% 35.45/24.05 tff(34566,plain,
% 35.45/24.05 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0)) | v140(constB123))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0)) | v140(constB123))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34567,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0)) | v140(constB123))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34568,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0)) | v140(constB123)),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34567, 34566])).
% 35.45/24.05 tff(34569,plain,
% 35.45/24.05 (v140(constB123)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34568, 31859, 34565, 34556, 34547])).
% 35.45/24.05 tff(34570,plain,
% 35.45/24.05 (((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB123) | (~v140(constB123)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB123) | (~v140(constB123)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34571,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | (v169(constB123) | (~v140(constB123)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34572,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v169(VarCurr) | (~v140(VarCurr)))) | v169(constB123) | (~v140(constB123))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34571, 34570])).
% 35.45/24.05 tff(34573,plain,
% 35.45/24.05 (v169(constB123)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34572, 31870, 34569])).
% 35.45/24.05 tff(34574,plain,
% 35.45/24.05 (((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB123) | (~v169(constB123)))) <=> ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB123) | (~v169(constB123)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34575,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB123) | (~v169(constB123)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34576,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB123) | (~v169(constB123))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34575, 34574])).
% 35.45/24.05 tff(34577,plain,
% 35.45/24.05 (v168(constB123)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34576, 31881, 34573])).
% 35.45/24.05 tff(34578,plain,
% 35.45/24.05 (((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB123) | (~v168(constB123)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB123) | (~v168(constB123)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34579,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | (v167(constB123) | (~v168(constB123)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34580,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v167(VarCurr) | (~v168(VarCurr)))) | v167(constB123) | (~v168(constB123))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34579, 34578])).
% 35.45/24.05 tff(34581,plain,
% 35.45/24.05 (v167(constB123)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34580, 30412, 34577])).
% 35.45/24.05 tff(34582,plain,
% 35.45/24.05 (((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB123)) | (~v170(constB123)))) <=> ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB123)) | (~v170(constB123)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34583,plain,
% 35.45/24.05 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB123)) | (~v170(constB123)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34584,plain,
% 35.45/24.05 ((~![VarCurr: $i] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB123)) | (~v170(constB123))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34583, 34582])).
% 35.45/24.05 tff(34585,plain,
% 35.45/24.05 (~v170(constB123)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34584, 23647, 34581])).
% 35.45/24.05 tff(34586,plain,
% 35.45/24.05 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB123) | (~v167(constB123)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB123) | (~v167(constB123)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34587,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB123) | (~v167(constB123)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34588,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB123) | (~v167(constB123))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34587, 34586])).
% 35.45/24.05 tff(34589,plain,
% 35.45/24.05 (v166(constB123)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34588, 23658, 34581])).
% 35.45/24.05 tff(34590,plain,
% 35.45/24.05 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB123)) | (~v166(constB123)) | v170(constB123))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB123)) | (~v166(constB123)) | v170(constB123))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34591,plain,
% 35.45/24.05 (((~v166(constB123)) | v170(constB123) | (~v163(constB123))) <=> ((~v163(constB123)) | (~v166(constB123)) | v170(constB123))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34592,plain,
% 35.45/24.05 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB123)) | v170(constB123) | (~v163(constB123)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB123)) | (~v166(constB123)) | v170(constB123)))),
% 35.45/24.05 inference(monotonicity,[status(thm)],[34591])).
% 35.45/24.05 tff(34593,plain,
% 35.45/24.05 (((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB123)) | v170(constB123) | (~v163(constB123)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB123)) | (~v166(constB123)) | v170(constB123))),
% 35.45/24.05 inference(transitivity,[status(thm)],[34592, 34590])).
% 35.45/24.05 tff(34594,plain,
% 35.45/24.05 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB123)) | v170(constB123) | (~v163(constB123)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34595,plain,
% 35.45/24.05 ((~![VarNext: $i] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB123)) | (~v166(constB123)) | v170(constB123)),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34594, 34593])).
% 35.45/24.05 tff(34596,plain,
% 35.45/24.05 (~v163(constB123)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34595, 23672, 34589, 34585])).
% 35.45/24.05 tff(34597,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB123) | (~nextState(constB123, constB124)) | (~v186(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB123) | (~nextState(constB123, constB124)) | (~v186(constB124)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34598,plain,
% 35.45/24.05 (((~nextState(constB123, constB124)) | v163(constB123) | (~v186(constB124))) <=> (v163(constB123) | (~nextState(constB123, constB124)) | (~v186(constB124)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34599,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB123, constB124)) | v163(constB123) | (~v186(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB123) | (~nextState(constB123, constB124)) | (~v186(constB124))))),
% 35.45/24.05 inference(monotonicity,[status(thm)],[34598])).
% 35.45/24.05 tff(34600,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB123, constB124)) | v163(constB123) | (~v186(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB123) | (~nextState(constB123, constB124)) | (~v186(constB124)))),
% 35.45/24.05 inference(transitivity,[status(thm)],[34599, 34597])).
% 35.45/24.05 tff(34601,plain,
% 35.45/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB123, constB124)) | v163(constB123) | (~v186(constB124)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34602,plain,
% 35.45/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB123) | (~nextState(constB123, constB124)) | (~v186(constB124))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34601, 34600])).
% 35.45/24.05 tff(34603,plain,
% 35.45/24.05 (v163(constB123) | (~v186(constB124))),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34602, 23806, 18458])).
% 35.45/24.05 tff(34604,plain,
% 35.45/24.05 (~v186(constB124)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34603, 34596])).
% 35.45/24.05 tff(34605,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB123, constB124)) | v181(constB124) | v104(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB123, constB124)) | v181(constB124) | v104(constB124))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34606,plain,
% 35.45/24.05 (((~nextState(constB123, constB124)) | v104(constB124) | v181(constB124)) <=> ((~nextState(constB123, constB124)) | v181(constB124) | v104(constB124))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34607,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | v181(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB123, constB124)) | v181(constB124) | v104(constB124)))),
% 35.45/24.05 inference(monotonicity,[status(thm)],[34606])).
% 35.45/24.05 tff(34608,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | v181(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB123, constB124)) | v181(constB124) | v104(constB124))),
% 35.45/24.05 inference(transitivity,[status(thm)],[34607, 34605])).
% 35.45/24.05 tff(34609,plain,
% 35.45/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | v181(constB124))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34610,plain,
% 35.45/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB123, constB124)) | v181(constB124) | v104(constB124)),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34609, 34608])).
% 35.45/24.05 tff(34611,plain,
% 35.45/24.05 (v181(constB124) | v104(constB124)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34610, 23828, 18458])).
% 35.45/24.05 tff(34612,plain,
% 35.45/24.05 (v181(constB124)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34611, 18470])).
% 35.45/24.05 tff(34613,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB123, constB124)) | v180(constB124) | (~v1(constB124)) | (~v181(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB123, constB124)) | v180(constB124) | (~v1(constB124)) | (~v181(constB124)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34614,plain,
% 35.45/24.05 (((~nextState(constB123, constB124)) | (~v1(constB124)) | v180(constB124) | (~v181(constB124))) <=> ((~nextState(constB123, constB124)) | v180(constB124) | (~v1(constB124)) | (~v181(constB124)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34615,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB123, constB124)) | (~v1(constB124)) | v180(constB124) | (~v181(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB123, constB124)) | v180(constB124) | (~v1(constB124)) | (~v181(constB124))))),
% 35.45/24.05 inference(monotonicity,[status(thm)],[34614])).
% 35.45/24.05 tff(34616,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB123, constB124)) | (~v1(constB124)) | v180(constB124) | (~v181(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB123, constB124)) | v180(constB124) | (~v1(constB124)) | (~v181(constB124)))),
% 35.45/24.05 inference(transitivity,[status(thm)],[34615, 34613])).
% 35.45/24.05 tff(34617,plain,
% 35.45/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB123, constB124)) | (~v1(constB124)) | v180(constB124) | (~v181(constB124)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34618,plain,
% 35.45/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB123, constB124)) | v180(constB124) | (~v1(constB124)) | (~v181(constB124))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34617, 34616])).
% 35.45/24.05 tff(34619,plain,
% 35.45/24.05 (v180(constB124) | (~v181(constB124))),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34618, 23846, 18458, 18481])).
% 35.45/24.05 tff(34620,plain,
% 35.45/24.05 (v180(constB124)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34619, 34612])).
% 35.45/24.05 tff(34621,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB123, constB124)) | v179(constB124) | (~v180(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB123, constB124)) | v179(constB124) | (~v180(constB124)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34622,plain,
% 35.45/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | ((~nextState(constB123, constB124)) | v179(constB124) | (~v180(constB124)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34623,plain,
% 35.45/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v180(VarNext)))) | (~nextState(constB123, constB124)) | v179(constB124) | (~v180(constB124))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34622, 34621])).
% 35.45/24.05 tff(34624,plain,
% 35.45/24.05 (v179(constB124) | (~v180(constB124))),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34623, 23864, 18458])).
% 35.45/24.05 tff(34625,plain,
% 35.45/24.05 (v179(constB124)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34624, 34620])).
% 35.45/24.05 tff(34626,plain,
% 35.45/24.05 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB124)) | v186(constB124) | (~v179(constB124)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB124)) | v186(constB124) | (~v179(constB124)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34627,plain,
% 35.45/24.05 (((~v179(constB124)) | (~v159(constB124)) | v186(constB124)) <=> ((~v159(constB124)) | v186(constB124) | (~v179(constB124)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34628,plain,
% 35.45/24.05 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB124)) | (~v159(constB124)) | v186(constB124))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v159(constB124)) | v186(constB124) | (~v179(constB124))))),
% 35.45/24.05 inference(monotonicity,[status(thm)],[34627])).
% 35.45/24.05 tff(34629,plain,
% 35.45/24.05 (((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB124)) | (~v159(constB124)) | v186(constB124))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB124)) | v186(constB124) | (~v179(constB124)))),
% 35.45/24.05 inference(transitivity,[status(thm)],[34628, 34626])).
% 35.45/24.05 tff(34630,plain,
% 35.45/24.05 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | ((~v179(constB124)) | (~v159(constB124)) | v186(constB124))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34631,plain,
% 35.45/24.05 ((~![VarNext: $i] : ((~v179(VarNext)) | (~v159(VarNext)) | v186(VarNext))) | (~v159(constB124)) | v186(constB124) | (~v179(constB124))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34630, 34629])).
% 35.45/24.05 tff(34632,plain,
% 35.45/24.05 ((~v159(constB124)) | v186(constB124)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34631, 23879, 34625])).
% 35.45/24.05 tff(34633,plain,
% 35.45/24.05 (~v159(constB124)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34632, 34604])).
% 35.45/24.05 tff(34634,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v180(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v180(constB125)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34635,plain,
% 35.45/24.05 (((~nextState(constB124, constB125)) | v1(constB125) | (~v180(constB125))) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v180(constB125)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34636,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB124, constB125)) | v1(constB125) | (~v180(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v180(constB125))))),
% 35.45/24.05 inference(monotonicity,[status(thm)],[34635])).
% 35.45/24.05 tff(34637,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB124, constB125)) | v1(constB125) | (~v180(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v180(constB125)))),
% 35.45/24.05 inference(transitivity,[status(thm)],[34636, 34634])).
% 35.45/24.05 tff(34638,plain,
% 35.45/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB124, constB125)) | v1(constB125) | (~v180(constB125)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34639,plain,
% 35.45/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v180(constB125))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34638, 34637])).
% 35.45/24.05 tff(34640,plain,
% 35.45/24.05 (~v180(constB125)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34639, 23900, 18529, 18526])).
% 35.45/24.05 tff(34641,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB124, constB125)) | v180(constB125) | (~v179(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB124, constB125)) | v180(constB125) | (~v179(constB125)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34642,plain,
% 35.45/24.05 (((~nextState(constB124, constB125)) | (~v179(constB125)) | v180(constB125)) <=> ((~nextState(constB124, constB125)) | v180(constB125) | (~v179(constB125)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34643,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB124, constB125)) | (~v179(constB125)) | v180(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB124, constB125)) | v180(constB125) | (~v179(constB125))))),
% 35.45/24.05 inference(monotonicity,[status(thm)],[34642])).
% 35.45/24.05 tff(34644,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB124, constB125)) | (~v179(constB125)) | v180(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB124, constB125)) | v180(constB125) | (~v179(constB125)))),
% 35.45/24.05 inference(transitivity,[status(thm)],[34643, 34641])).
% 35.45/24.05 tff(34645,plain,
% 35.45/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | ((~nextState(constB124, constB125)) | (~v179(constB125)) | v180(constB125))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34646,plain,
% 35.45/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)) | v180(VarNext))) | (~nextState(constB124, constB125)) | v180(constB125) | (~v179(constB125))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34645, 34644])).
% 35.45/24.05 tff(34647,plain,
% 35.45/24.05 (v180(constB125) | (~v179(constB125))),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34646, 23917, 18529])).
% 35.45/24.05 tff(34648,plain,
% 35.45/24.05 (~v179(constB125)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34647, 34640])).
% 35.45/24.05 tff(34649,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB124) | (~nextState(constB124, constB125)) | v179(constB125) | (~v159(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB124) | (~nextState(constB124, constB125)) | v179(constB125) | (~v159(constB125)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34650,plain,
% 35.45/24.05 (((~nextState(constB124, constB125)) | v179(constB125) | v159(constB124) | (~v159(constB125))) <=> (v159(constB124) | (~nextState(constB124, constB125)) | v179(constB125) | (~v159(constB125)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34651,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB124, constB125)) | v179(constB125) | v159(constB124) | (~v159(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB124) | (~nextState(constB124, constB125)) | v179(constB125) | (~v159(constB125))))),
% 35.45/24.05 inference(monotonicity,[status(thm)],[34650])).
% 35.45/24.05 tff(34652,plain,
% 35.45/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB124, constB125)) | v179(constB125) | v159(constB124) | (~v159(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB124) | (~nextState(constB124, constB125)) | v179(constB125) | (~v159(constB125)))),
% 35.45/24.05 inference(transitivity,[status(thm)],[34651, 34649])).
% 35.45/24.05 tff(34653,plain,
% 35.45/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB124, constB125)) | v179(constB125) | v159(constB124) | (~v159(constB125)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34654,plain,
% 35.45/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB124) | (~nextState(constB124, constB125)) | v179(constB125) | (~v159(constB125))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34653, 34652])).
% 35.45/24.05 tff(34655,plain,
% 35.45/24.05 (v159(constB124) | v179(constB125) | (~v159(constB125))),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34654, 23935, 18529])).
% 35.45/24.05 tff(34656,plain,
% 35.45/24.05 (v159(constB124) | (~v159(constB125))),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34655, 34648])).
% 35.45/24.05 tff(34657,plain,
% 35.45/24.05 (~v159(constB125)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34656, 34633])).
% 35.45/24.05 tff(34658,plain,
% 35.45/24.05 (((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB125) | (~v201(constB125)))) <=> ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB125) | (~v201(constB125)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34659,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB125) | (~v201(constB125)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34660,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB125) | (~v201(constB125))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34659, 34658])).
% 35.45/24.05 tff(34661,plain,
% 35.45/24.05 (~v201(constB125)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34660, 23951, 34657])).
% 35.45/24.05 tff(34662,plain,
% 35.45/24.05 (((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB125) | (~v200(constB125)))) <=> ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB125) | (~v200(constB125)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34663,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB125) | (~v200(constB125)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34664,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB125) | (~v200(constB125))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34663, 34662])).
% 35.45/24.05 tff(34665,plain,
% 35.45/24.05 (~v200(constB125)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34664, 23697, 34661])).
% 35.45/24.05 tff(34666,plain,
% 35.45/24.05 (((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB125) | (~v198(constB125)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB125) | (~v198(constB125)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34667,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB125) | (~v198(constB125)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34668,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB125) | (~v198(constB125))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34667, 34666])).
% 35.45/24.05 tff(34669,plain,
% 35.45/24.05 (~v198(constB125)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34668, 23708, 34665])).
% 35.45/24.05 tff(34670,assumption,(v18(constB126)), introduced(assumption)).
% 35.45/24.05 tff(34671,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB126))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34672,plain,
% 35.45/24.05 ($false),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34671, 8, 34670])).
% 35.45/24.05 tff(34673,plain,(~v18(constB126)), inference(lemma,lemma(discharge,[]))).
% 35.45/24.05 tff(34674,plain,
% 35.45/24.05 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB126) | (~v1(constB126)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB126) | (~v1(constB126)))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34675,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB126) | (~v1(constB126)))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34676,plain,
% 35.45/24.05 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB126) | (~v1(constB126))),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34675, 34674])).
% 35.45/24.05 tff(34677,plain,
% 35.45/24.05 (v22(constB126)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34676, 21, 18674])).
% 35.45/24.05 tff(34678,plain,
% 35.45/24.05 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB126)) | (~v22(constB126)) | v18(constB126))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB126)) | (~v22(constB126)) | v18(constB126))),
% 35.45/24.05 inference(rewrite,[status(thm)],[])).
% 35.45/24.05 tff(34679,plain,
% 35.45/24.05 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB126)) | (~v22(constB126)) | v18(constB126))),
% 35.45/24.05 inference(quant_inst,[status(thm)],[])).
% 35.45/24.05 tff(34680,plain,
% 35.45/24.05 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB126)) | (~v22(constB126)) | v18(constB126)),
% 35.45/24.05 inference(modus_ponens,[status(thm)],[34679, 34678])).
% 35.45/24.05 tff(34681,plain,
% 35.45/24.05 ((~v19(constB126)) | v18(constB126)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34680, 35, 34677])).
% 35.45/24.05 tff(34682,plain,
% 35.45/24.05 (~v19(constB126)),
% 35.45/24.05 inference(unit_resolution,[status(thm)],[34681, 34673])).
% 35.45/24.05 tff(34683,plain,
% 35.45/24.05 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB126) | v19(constB126))) <